benjamintli/bart_midi_dataset · Datasets at Hugging Face

input_ids sequencelengths 1.02k 1.02k	attention_mask sequencelengths 1.02k 1.02k	labels sequencelengths 1.02k 1.02k
[ 0, 250, 19448, 8, 5679, 26709, 3495, 2214, 19, 5175, 4785, 6, 4246, 41, 21979, 8669, 6, 2342, 4467, 6, 8, 6755, 12547, 217, 24896, 8, 3551, 139, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 14, 25362, 5, 30443, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 748, 1879, 4450, 20889, 9, 23703, 13410, 228, 2289, 8, 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 ]	[ 58375, 57732, 51365, 73490, 51915, 50912, 51915, 51051, 51368, 51210, 52143, 55856, 50421, 51915, 57051, 51332, 51824, 51915, 51128, 51915, 51376, 50433, 51915, 51319, 50437, 51915, 56006, 50988, 51166, 51368, 50972, 50439, 50885, 51470, 51223, 69655, 51915, 61013, 51332, 51166, 51915, 51128, 51915, 50972, 50457, 51915, 62298, 50988, 51365, 50885, 51862, 50868, 51862, 51368, 51051, 51223, 51210, 51350, 51210, 50461, 51915, 51297, 55753, 51915, 63521, 62092, 51223, 50984, 51350, 52946, 50424, 51332, 51269, 50425, 51915, 51269, 50434, 51915, 51851, 50435, 51332, 50912, 51223, 51550, 51350, 52101, 50438, 62092, 51332, 55811, 51915, 51365, 51915, 54887, 51368, 54386, 50446, 51915, 67676, 62092, 51223, 51832, 51350, 66674, 51332, 51142, 51915, 51269, 51915, 52179, 50457, 50988, 65241, 51915, 51297, 57732, 51051, 50988, 51210, 51915, 51022, 51915, 51051, 51368, 51210, 50421, 69644, 51915, 59197, 51332, 51376, 51915, 51269, 51915, 51376, 50434, 51915, 64212, 50988, 50972, 51368, 50972, 50439, 64646, 51915, 50907, 51223, 51174, 50445, 51915, 60678, 51332, 50972, 51915, 51252, 51915, 50972, 50457, 51915, 73706, 50988, 51051, 50885, 51210, 50868, 51210, 51368, 51051, 51223, 51210, 51350, 51210, 78100, 52134, 50422, 51915, 63140, 61220, 51223, 50851, 51350, 52179, 50424, 51332, 69118, 51915, 51550, 50435, 51332, 50851, 51915, 51319, 51223, 52101, 51350, 52101, 50438, 61220, 51332, 52782, 50988, 53024, 51915, 52782, 51368, 53024, 50439, 51915, 51862, 50446, 51915, 70853, 62092, 51223, 51269, 51350, 60205, 51332, 51142, 51915, 54088, 51915, 52192, 50458, 69644, 50799, 53398, 52829, 62092, 69906, 69906, 74571, 51332, 55068, 51915, 51269, 51299, 55856, 75226, 51126, 50868, 51319, 51915, 52134, 59812, 51128, 50868, 51319, 50885, 52179, 50868, 51365, 50847, 51803, 50868, 51742, 50885, 55408, 51565, 51742, 51915, 52134, 52064, 52980, 50433, 50885, 51297, 51915, 52514, 50434, 50868, 52445, 50437, 51915, 59580, 70887, 62092, 50885, 51862, 50868, 51365, 50444, 51915, 52101, 50445, 50885, 65434, 50868, 52445, 50450, 50868, 51269, 50885, 52179, 50885, 51524, 50868, 51365, 51915, 69249, 51565, 50892, 52130, 50972, 50457, 62092, 59865, 51915, 51319, 50458, 50872, 51313, 50850, 51151, 50461, 51915, 52134, 59560, 51210, 68346, 51686, 51939, 52249, 53142, 50415, 50885, 51851, 50872, 51319, 50421, 69076, 51915, 51319, 50422, 50872, 54689, 50885, 51851, 71205, 51915, 51832, 50427, 50872, 52445, 50434, 50885, 51126, 51915, 52514, 50438, 50885, 51365, 75814, 51915, 52946, 50439, 62092, 59865, 50446, 50885, 51126, 50872, 51297, 51915, 73792, 75979, 71421, 50885, 51365, 75814, 51565, 51043, 51915, 51832, 50458, 50885, 51126, 50872, 51126, 51915, 52134, 50799, 53398, 52720, 50868, 51000, 62092, 74948, 74305, 51332, 55068, 51915, 51550, 75226, 51128, 51915, 52514, 59812, 51297, 50868, 51319, 50885, 51365, 50868, 52179, 50868, 51803, 50847, 52168, 50885, 51680, 51565, 52015, 51915, 51832, 52064, 52783, 50433, 50885, 75116, 50868, 51319, 51915, 52514, 50438, 62092, 61047, 50885, 51210, 78665, 50439, 51915, 51252, 50445, 51915, 52514, 50446, 50885, 67676, 50868, 52445, 50450, 50885, 51269, 50885, 51824, 50868, 51824, 51915, 52101, 50451, 50868, 67301, 51565, 50892, 52130, 50972, 50457, 69076, 78761, 51915, 51851, 50458, 50872, 51445, 50885, 51671, 50850, 51359, 59560, 51126, 50872, 51297, 50872, 51524, 74305, 51686, 51677, 51915, 52835, 52249, 53142, 75226, 50908, 50872, 51297, 50422, 51915, 51851, 50425, 50885, 51319, 50872, 51297, 59812, 52192, 50872, 51824, 50427, 51915, 52462, 50433, 50885, 51258, 50434, 50872, 52445, 50435, 51915, 52514, 50438, 59398, 59865, 50885, 51862, 50872, 52167, 50439, 51915, 52946, 50445, 59973, 50446, 50872, 51128, 51915, 51851, 50449, 50872, 59038, 69865, 50885, 51524, 50872, 51824, 51565, 51411, 51915, 54887, 50457, 50885, 51126, 50872, 51128, 50799, 53398, 52204, 50868, 50971, 50868, 51210, 51332, 51717, 51915, 51269, 50415, 50885, 70145, 51915, 52134, 50422, 50885, 54654, 50885, 51126, 74948, 50885, 51524, 50868, 51452, 50847, 51680, 50885, 51803, 51565, 51675, 51915, 52134, 52064, 52168, 50428, 50868, 52445, 50433, 51915, 52514, 50437, 51915, 59580, 50885, 51365, 50868, 51365, 50439, 59398, 50868, 54947, 51915, 52101, 50446, 50885, 67676, 50868, 52445, 50450, 50885, 51524, 50885, 52192, 50868, 51824, 51915, 52134, 50451, 50868, 61114, 51565, 50892, 52130, 50972, 50457, 76486, 51915, 51319, 50458, 50850, 51151, 50885, 51449, 50872, 51243, 50461, 51915, 52134, 61464, 51269, 76589, 51686, 51677, 52249, 52528, 50415, 50885, 79755, 50872, 51126, 62092, 51915, 59197, 50885, 51128, 50872, 51319, 50872, 51252, 50885, 51524, 51915, 51832, 50434, 50885, 52445, 51915, 52514, 50438, 62092, 59865, 50885, 52179, 50872, 51524, 51915, 52946, 50446, 50872, 51004, 50885, 51126, 51915, 52134, 50447, 52065, 50932, 50449, 50885, 58271, 50872, 51851, 50885, 51824, 50872, 52192, 51565, 50981, 51915, 51832, 51967, 51330, 51107, 51333, 50457, 50885, 71439, 50872, 51319, 51915, 52134, 59560, 50912, 71421, 50885, 51365, 50850, 53142, 50885, 54171, 50872, 53588, 51686, 51422, 51915, 51550, 52130, 52431, 51299, 52916, 51201, 52528, 75226, 51126, 50872, 51297, 51915, 52514, 59812, 52167, 51915, 51832, 52064, 51490, 50427, 50872, 52445, 50434, 51915, 52514, 50438, 59398, 56401, 50885, 51862, 50872, 52167, 50439, 51915, 51252, 50445, 51915, 52514, 50446, 50885, 56663, 50885, 51000, 50872, 51319, 50872, 52167, 50885, 52731, 51565, 50981, 51915, 52101, 53122, 51108, 51967, 51330, 52065, 50932, 51107, 51330, 50457, 51915, 51851, 50458, 69076, 65808, 59560, 51297, 50885, 52731, 50872, 54071, 50885, 63712, 50872, 58643, 51686, 51677, 51915, 52835, 52130, 52431, 52064, 52528, 51299, 52431, 51201, 52528, 76750, 51258, 75226, 67643, 50872, 51128, 51915, 51851, 59812, 51126, 50872, 51126, 50885, 51862, 50872, 52167, 50427, 51915, 52462, 50434, 50885, 70709, 51915, 52514, 50438, 62092, 59865, 50885, 51524, 50872, 52946, 50439, 51915, 52946, 50445, 50885, 51126, 50446, 51915, 51851, 50447, 50872, 52445, 50450, 50885, 51319, 50885, 51524, 50872, 54088, 51565, 54143, 51915, 54887, 53122, 56515, 51967, 56515, 52065, 53233, 51107, 56515, 50451, 50872, 52445, 50457, 50885, 50971, 51915, 71439, 50872, 51126, 59560, 51524, 50872, 52167, 50422, 50885, 50971, 77547, 51915, 72769, 50872, 54088, 50885, 51824, 76752, 51258, 51915, 52611, 50433, 51915, 61929, 77547, 62092, 50885, 51524, 50872, 52782, 51915, 51550, 50445, 50885, 51126, 50446, 50872, 51319, 51915, 73792, 50872, 52445, 50885, 52134, 50885, 51470, 50872, 52731, 73930, 51025, 50451, 51915, 52611, 59560, 50854, 56640, 50868, 59643, 58179, 73945, 51867, 50292, 51381, 57624, 66527, 61047, 61950, 50885, 51079, 50434, 50885, 51642, 50868, 51309, 70983, 51332, 51452, 57624, 51267, 50438, 62940, 50885, 54558, 50311, 51074, 50446, 70887, 63413, 50885, 61211, 57624, 57554, 61220, 56640, 56538, 70687, 50847, 74981, 50885, 51128, 63246, 50847, 50857, 54809, 51109, 64933, 50874, 51042, 55711, 76475, 54667, 60025, 51501, 50291, 51381, 50422, 54809, 58326, 51042, 59718, 60025, 50972, 50434, 51042, 51484, 50848, 51484, 76063, 51791, 51145, 54120, 76810, 51042, 67742, 69800, 51074, 50446, 51042, 50886, 58816, 50847, 54915, 70648, 58440, 56538 ]
[ 0, 250, 2635, 8, 2933, 5175, 2125, 4246, 2724, 368, 8, 2003, 38704, 31365, 6673, 6909, 6, 2351, 10, 980, 219, 5466, 4, 20, 2214, 16, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 2060, 119, 6, 2060, 6, 12608, 6, 2060, 6, 8, 274, 119, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51540, 53580, 52407, 51978, 52407, 58881, 52407, 56381, 52407, 50438, 56404, 51738, 53580, 51738, 58881, 51738, 54833, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 51978, 51738, 58881, 51738, 56381, 51738, 51540, 52491, 52407, 52436, 52407, 58881, 52407, 59441, 52407, 50438, 52491, 51738, 51979, 51738, 58881, 51738, 59441, 51738, 50450, 51978, 53486, 52656, 53486, 58881, 53486, 59441, 53486, 51540, 52394, 52407, 52608, 52407, 56381, 52407, 56381, 52407, 50438, 53580, 51738, 51978, 51738, 56381, 51738, 56381, 51738, 50450, 52608, 52407, 52891, 52407, 56381, 52407, 55297, 52407, 50474, 52891, 51738, 52436, 51738, 56381, 51738, 55297, 51738, 51540, 51978, 53486, 52656, 53486, 58881, 53486, 59441, 53486, 50450, 53580, 53486, 51978, 53486, 58881, 53486, 56381, 53486, 51540, 53580, 52407, 51978, 52407, 58881, 52407, 56381, 52407, 50438, 56404, 51738, 53580, 51738, 58881, 51738, 54833, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 51978, 51738, 58881, 51738, 56381, 51738, 51540, 52491, 52407, 53979, 52407, 58881, 52407, 55329, 52407, 50438, 52491, 51738, 52436, 51738, 58881, 51738, 59441, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 52656, 51738, 58881, 51738, 59441, 51738, 51540, 52608, 52407, 52656, 52407, 56469, 52407, 55297, 52407, 50438, 53580, 51738, 51979, 51738, 56469, 51738, 55329, 51738, 50450, 53580, 52407, 51978, 52407, 56469, 52407, 56381, 52407, 50474, 52608, 51738, 52608, 51738, 56469, 51738, 55291, 51738, 51540, 51979, 53486, 53979, 53486, 55329, 52407, 56469, 53486, 50438, 59378, 51738, 50450, 52656, 52407, 52380, 52407, 56381, 52407, 59378, 52407, 50474, 52656, 51738, 52380, 51738, 56381, 51738, 59378, 51738, 51540, 52380, 51738, 51978, 52407, 59441, 52407, 59441, 52407, 50426, 52436, 51738, 50438, 52608, 51738, 52656, 51738, 55297, 51738, 59378, 51738, 50450, 52608, 52407, 51979, 52407, 55329, 52407, 59441, 52407, 50474, 52608, 51738, 52656, 51738, 56381, 51738, 55297, 51738, 51540, 52608, 53486, 51979, 53486, 52436, 53486, 56469, 53486, 59441, 53486, 50450, 52608, 53486, 52656, 53486, 56381, 53486, 55297, 53486, 51540, 56381, 51749, 50438, 61092, 77072, 54833, 51749, 50474, 56469, 51380, 51540, 58881, 51749, 50438, 55329, 77072, 56381, 52015, 51540, 53580, 51749, 52436, 51749, 61092, 51749, 55329, 51749, 50438, 53580, 51380, 52436, 51380, 61092, 51380, 55329, 77072, 52436, 51380, 52608, 51749, 61092, 51749, 55297, 51749, 50462, 52380, 51380, 50474, 52608, 51380, 52436, 51380, 61092, 51380, 55297, 51380, 51540, 51978, 52015, 52172, 52015, 54833, 52015, 55297, 52015, 50450, 52394, 52015, 51978, 52015, 54833, 52015, 56293, 52015, 51540, 51978, 51749, 53979, 51749, 50438, 52656, 51380, 52380, 77072, 52891, 51749, 52436, 51749, 50474, 51978, 51380, 52656, 51380, 51540, 52608, 51749, 51979, 51749, 50438, 51979, 51380, 53979, 77072, 52656, 51749, 52380, 52015, 50474, 52891, 51380, 51540, 51978, 51749, 53979, 51749, 58881, 51749, 56381, 51749, 50438, 53580, 51380, 52436, 51380, 61092, 51380, 61092, 77072, 53580, 51749, 52656, 51749, 54833, 51749, 56381, 51749, 50474, 53580, 51380, 53580, 51380, 55329, 51380, 55329, 51380, 51540, 52394, 52015, 52608, 52015, 55297, 51749, 56381, 52015, 50438, 56381, 77072, 53580, 52015, 51978, 52015, 56381, 51749, 58881, 52015, 50474, 59441, 51380, 51540, 53580, 51749, 52436, 51749, 61092, 51749, 59441, 51749, 50438, 52891, 51380, 52436, 51380, 61092, 51380, 59441, 77072, 53580, 51749, 52656, 51749, 54833, 51749, 59441, 51749, 50474, 53580, 51380, 51978, 51380, 58881, 51380, 56381, 51380, 51540, 52394, 51749, 52608, 52015, 56381, 51749, 62828, 52015, 56381, 52015, 50438, 56404, 51380, 61092, 77072, 56404, 52015, 53580, 52015, 58881, 52015, 54833, 52015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 3038, 6, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 3741, 27374, 594, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 230, 538, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 272, 119, 6, 1918, 406, 428, 245, 6, 211, 6, 272, 73, 250, 6, 8, 1918, 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 ]	[ 57530, 50798, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50798, 52227, 50905, 51450, 51049, 52154, 51820, 50843, 64824, 53984, 52154, 51754, 57125, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 50905, 51450, 51049, 52154, 51820, 50798, 56392, 51382, 53984, 56392, 51453, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 50905, 51450, 51049, 52154, 51820, 50843, 64824, 53984, 56392, 51453, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 54137, 65856, 52221, 51049, 52154, 51820, 50843, 64824, 53984, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 78688, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 52816, 52227, 60282, 51533, 60847, 74637, 52221, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 52141, 52513, 50798, 51757, 77476, 63689, 50807, 50770, 50325, 51626, 53984, 52154, 51754, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 57190, 75377, 50931, 50918, 61934, 54805, 52085, 52227, 55126, 50770, 50326, 52959, 52154, 52296, 57125, 56683, 51302, 53984, 52154, 51628, 50798, 52227, 54137, 50861, 73757, 68900, 50918, 63689, 51291, 57125, 52154, 51820, 50843, 52513, 50798, 64824, 67786, 56392, 51528, 52085, 52227, 50905, 51206, 53561, 51099, 50818, 51153, 50809, 51489, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 56633, 50800, 51416, 66366, 52154, 52765, 56633, 50800, 51416, 51628, 54341, 50800, 51416, 50800, 51099, 50818, 51153, 50818, 51489, 52816, 52227, 60282, 55832, 50991, 51416, 50800, 54585, 64812, 52154, 51820, 53605, 50795, 73198, 51119, 50818, 51153, 50809, 51489, 52847, 52513, 50798, 51757, 50770, 50325, 51626, 53984, 52154, 51754, 53605, 50800, 51119, 50809, 51153, 50809, 51489, 51421, 52154, 52567, 53605, 50800, 50799, 53605, 51730, 52085, 52227, 55126, 53605, 50800, 51119, 50809, 51153, 50809, 51435, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 53620, 50800, 51416, 66366, 52154, 52765, 51416, 51628, 53605, 50800, 51416, 50800, 51119, 50809, 51153, 50809, 51435, 52259, 52227, 60282, 55832, 50800, 51416, 51724, 51137, 64812, 52154, 52831, 56633, 51918, 71724, 51099, 50818, 51429, 50809, 51275, 52847, 52513, 54341, 51428, 51757, 73198, 50770, 50325, 51626, 53984, 52154, 52809, 55431, 51923, 71724, 51099, 50818, 51429, 50818, 51275, 51421, 52154, 52567, 56633, 50991, 51528, 52085, 52227, 55126, 51099, 50809, 51153, 50809, 51489, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 56633, 50800, 51416, 66366, 52154, 52765, 56633, 50800, 51416, 51628, 54341, 50795, 51416, 50800, 51099, 50809, 51153, 50809, 51489, 52259, 52227, 60282, 51416, 51724, 55832, 50795, 51349, 64812, 52154, 51820, 73198, 51119, 50809, 51153, 50809, 51489, 52847, 52513, 53605, 52221, 51757, 50770, 50325, 51626, 53984, 52154, 51754, 51119, 50809, 51153, 50809, 51489, 51421, 56392, 50799, 54398, 55568, 52085, 52227, 55126, 51119, 50809, 51153, 50818, 51435, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 53620, 50991, 51416 ]
[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 272, 538, 6, 4246, 41, 21979, 8669, 8, 21072, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 230, 6, 211, 6, 8, 272, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 6, 24, 7630, 6568, 10, 3344, 9, 11098, 8, 657, 6, 19, 12577, 17878, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57128, 50796, 54594, 50949, 50876, 50883, 51332, 51189, 79845, 51007, 66516, 50812, 51439, 52734, 50916, 72988, 53425, 50861, 79027, 78132, 50840, 51149, 50840, 51439, 53695, 50916, 72988, 53415, 50876, 50961, 50861, 78132, 50836, 51149, 50840, 51439, 54465, 50916, 72988, 54208, 60373, 50876, 78132, 50840, 51149, 50839, 51439, 53173, 50916, 50930, 51171, 53848, 51217, 50812, 54852, 71236, 51164, 61659, 50910, 69196, 51257, 50910, 55961, 69080, 53383, 50877, 53819, 50316, 67698, 63722, 50887, 51257, 54937, 50871, 50962, 51164, 54957, 50973, 53936, 50318, 51952, 50299, 51013, 50935, 50910, 51007, 50924, 51439, 54630, 50861, 68166, 53057, 50973, 52717, 50318, 50962, 50935, 60878, 50821, 51439, 54418, 50861, 50961, 50988, 50809, 54594, 61818, 51138, 51332, 51591, 50885, 51742, 51007, 77179, 51439, 52864, 50916, 63164, 53548, 50861, 53819, 50316, 78132, 50840, 51149, 50840, 51439, 53810, 50916, 72988, 52729, 50861, 53819, 50316, 78132, 68480, 50840, 51439, 54400, 50916, 63164, 54208, 60373, 60832, 51007, 50840, 51149, 50840, 51439, 52738, 50916, 50880, 51171, 52567, 51217, 50800, 54852, 61818, 50860, 51164, 71778, 50830, 70141, 51257, 50938, 55961, 79858, 53935, 50877, 50949, 50876, 67698, 64278, 50884, 51257, 52927, 50861, 52311, 50973, 52311, 50902, 52827, 50988, 51364, 50935, 50983, 51007, 50983, 51439, 51364, 50456, 51403, 50879, 51403, 50879, 55858, 51059, 50900, 52392, 51810, 50930, 51810, 50930, 51332, 52536, 58966, 50909, 75328, 50978, 51149, 50942, 55902, 52536, 51810, 51138, 51810, 51138, 50847, 50862, 51544, 51167, 50832, 52369, 50876, 51941, 51810, 50961, 51810, 50961, 50847, 67479, 68480, 52927, 51810, 52512, 51810, 52512, 50847, 54431, 51489, 50893, 51489, 57753, 68744, 68480, 52510, 51435, 50805, 51435, 57954, 51400, 52320, 51055, 51516, 50809, 51516, 58269, 67479, 50887, 51149, 52485, 51516, 51016, 51516, 51016, 52110, 50923, 52110, 72226, 50879, 54206, 51655, 51810, 50911, 51810, 51972, 50294, 52536, 50848, 51605, 50850, 61633, 60090, 54718, 50877, 52536, 51578, 52392, 51578, 52392, 51530, 50948, 51530, 66857, 50836, 51544, 51167, 50876, 51941, 51403, 50893, 51403, 56548, 61056, 68783, 54937, 51530, 51977, 51530, 51977, 50850, 53574, 50850, 61283, 50887, 51257, 55489, 50850, 50836, 52320, 51055, 50850, 50884, 50909, 50887, 51257, 54663, 50946, 50893, 54206, 51655, 50988, 52536, 50847, 51605, 50935, 57561, 66244, 52734, 50861, 52536, 53706, 50817, 53706, 62437, 50840, 51544, 51167, 50832, 51551, 50902, 51941, 53706, 50802, 53706, 61821, 60878, 50809, 51439, 52209, 52110, 50911, 52110, 65326, 53894, 51275, 51173, 51275, 51173, 51810, 51030, 51810, 51030, 50935, 79368, 50809, 51439, 52210, 51489, 51060, 51489, 51060, 51810, 51030, 51810, 51030, 50935, 50836, 52320, 51055, 51435, 50830, 51435, 50830, 51185, 51030, 51185, 51030, 50935, 79368, 50887, 51439, 53685, 51578, 51016, 51578, 51016, 51403, 52282, 51403, 52282, 50988, 50879, 53975, 51941, 51332, 79854, 51141, 66603, 50909, 50952, 51149, 50942, 55902, 51977, 51516, 51358, 51516, 51358, 51332, 50889, 50847, 50834, 51544, 51167, 50876, 51336, 50847, 50895, 50909, 50884, 51149, 53644, 50847, 53219, 50885, 51175, 50847, 66278, 51158, 51149, 51918, 50847, 50840, 52320, 51055, 51042, 51060, 50847, 66115, 50924, 51007, 58603, 50847, 50841, 56310, 51941, 50946, 51141, 50850, 66278, 63003, 51835, 50916, 51977, 51403, 50893, 51403, 56548, 50862, 51544, 51167, 50832, 51527, 50877, 51336, 52110, 50911, 52110, 60787, 61283, 50840, 51149, 52359, 53706, 50806, 53706, 56244, 53894, 51489, 51192, 51489, 51192, 53477, 51055, 53477, 51055, 50988, 51291, 50847, 68348, 75709, 54811, 51435, 50795, 51435, 55990, 50841, 52320, 51055, 51516, 50809, 51516, 50809, 55943, 50879, 55943, 58886, 50840, 51149, 54663, 51516, 51013, 51516, 51013, 52110, 51573, 52110, 51573, 50847, 50841, 59130, 52536, 51506, 51991, 65007, 50850, 55175, 63003, 52871, 50989, 51933, 51578, 51336, 51578, 51336, 50944, 50836, 51544, 51167, 50877, 51896, 52110, 50911, 52110, 63146, 60782, 63722, 68480, 52359, 53706, 50923, 53706, 63210, 52444, 53477, 50896, 53477, 50896, 50944, 62237, 63722, 50840, 51149, 54400, 50944, 50809, 52320, 51055, 51578, 50806, 51578, 50806, 55943, 50911, 55943, 63146, 50858, 58126, 50909, 66516, 52643, 51489, 51112, 51489, 51112, 52110, 52311, 52110, 52311, 51506, 50809, 54206, 52392, 51171, 52536, 50848, 51605, 58126, 51007, 60090, 51835, 50877, 51941, 51489, 50887, 51489, 61952, 50840, 51544, 51167, 50832, 52266, 50876, 51896, 51489, 51235, 51489, 51235, 50850, 79368, 68783, 52359, 50850, 53894, 51489, 50879, 51489, 56263, 79368, 50818, 51257, 52510, 51435, 50805, 51435, 50805, 51810, 51012, 51810, 58857, 50836, 52320, 51055, 51516, 50879, 51516, 50879, 52110, 50911, 52110, 60787, 50884, 51007, 50818, 51257, 55433, 51275, 51655, 51275, 51655, 51810, 53435, 51810, 53435, 50946, 50879, 54206, 51696, 50988, 75345, 58433, 78235, 50952, 55902, 52392, 50872, 50857, 51544, 51167, 71923, 50872, 61952, 63164, 54937, 50872, 53891, 61745, 51551, 50902, 51356, 53160, 57753, 50983, 50935, 51364, 51007, 51364, 50444, 51553, 50846, 51688, 52610, 51326, 50898, 51167, 51791, 67840, 51403, 50879, 51403, 50879, 55858, 57044, 51356, 51085, 53241, 50900, 52392, 51810, 50930, 51810, 50930, 51332, 52536, 58966, 50909, 75328, 50978, 51149, 50942, 51039, 61077, 52536, 51810, 51138, 51810, 51138, 50847, 50862, 51544, 53291, 52097, 50876, 51941, 51810, 50961, 51810, 50961, 50847, 67479, 68480, 50846, 51361, 50867, 51810, 52512, 51810, 52512, 50847, 50855, 51570, 50962, 51489, 51173, 51489, 51173, 50847, 68744, 68480, 69342, 50829, 51435, 50805, 51435, 57954, 51400, 52320, 62809, 51090, 51516, 50884, 51516, 65394, 67479, 50887, 51149, 52485, 60786, 50858, 51085, 50917, 51516, 51016, 51516, 51016, 52110, 50923, 52110, 72226, 50879, 53028, 51670, 51235, 50899, 51655, 51120, 51359, 51810, 50911, 51810, 51972, 50294, 52536, 50848, 51605, 50850, 61633, 60090, 80234, 62821, 52536, 51578, 51161, 51578, 51161, 51530, 50948, 51530, 66857, 50836, 51544, 53291, 52369, 50876, 51941, 51403, 50893, 51403, 56548, 61056, 68783, 50887, 51361, 50867, 51530, 51977, 51530, 51977, 50850, 50836, 51570, 67698, 61283, 50887, 51257, 50887, 51180, 59588, 50836, 52320, 62809, 62136, 50884, 50909, 50887, 51257, 54663, 50852, 71036, 50893, 53028, 51670, 52370, 50299, 51605, 50899, 51655, 50988, 52536, 50847, 51605, 50935, 57561, 66244, 79158, 61077, 52536, 53706, 50817, 53706, 62437, 50840, 51544, 53291, 52266, 50902, 51941, 53706, 50802, 53706, 61821, 60878, 50809, 51439, 70131, 50867, 52110, 50806, 52110, 61282, 50862, 51570, 50962, 73139, 73139, 51810, 51033, 51810, 51033, 50935, 79368, 50809, 51439, 67902, 50829, 51489, 51111, 51489, 51111, 51810, 51021, 51810, 51021, 50935, 50836, 52320, 62809, 51016, 51435, 50865, 51435, 50865, 51185, 50911, 51185, 65326, 79368, 50887, 51439, 53685, 60786, 50858, 51214, 50865, 51578, 50807, 51578, 50807, 51403, 53241, 51403, 53241, 50988, 50879, 53028, 51670, 51919, 50292, 70339, 51941, 51332, 79854, 51141, 66603, 50909, 50952, 51149, 50942, 51039, 61077, 51977, 51516, 51933, 51516, 51933, 51332, 50889, 50847, 50834, 51544, 53291, 52266, 50876, 51336, 50847, 50895, 50909, 50884, 51149, 78956, 57823, 50828, 51570 ]
[ 0, 250, 765, 6, 19448, 5175, 37903, 11, 230, 538, 6, 4246, 41, 21979, 8669, 4, 85, 34, 10, 1372, 8, 5679, 26709, 6711, 6, 19, 10, 11602, 9, 7125, 8, 657, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 13410, 228, 2289, 6, 21437, 10, 33215, 13931, 9, 83, 406, 73, 347, 10431, 6, 211, 119, 6, 272, 6, 230, 6, 8, 381, 406, 73, 534, 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 ]	[ 57211, 62867, 57998, 59100, 50947, 53765, 62867, 57998, 50998, 51160, 51064, 71832, 51067, 52877, 62867, 57998, 59100, 51032, 54526, 62867, 50986, 51196, 59100, 57360, 50799, 52028, 50896, 57360, 51067, 53765, 61446, 56479, 60511, 51032, 53585, 58208, 56479, 56767, 51064, 54526, 63965, 56479, 56767, 63133, 50896, 57998, 58308, 51032, 53765, 79655, 57998, 56767, 51064, 53585, 62867, 57998, 59100, 50947, 54526, 79655, 70601, 56767, 57360, 50799, 59364, 56479, 59100, 50947, 53765, 58208, 65400, 50929, 52309, 50970, 52322, 63642, 57998, 58308, 50929, 54526, 57998, 77389, 56767, 50799, 65400, 56479, 50929, 53765, 63965, 70601, 50929, 53585, 61446, 57998, 50929, 52692, 50970, 52610, 51846, 50896, 57998, 50970, 52931, 57566, 50799, 58208, 57998, 50970, 52774, 50998, 52247, 79655, 57998, 51064, 52309, 51032, 52322, 62867, 57998, 51064, 52692, 50947, 52610, 59364, 56479, 50970, 52931, 55046, 63133, 50896, 57998, 59100, 50947, 53765, 53805, 50896, 58308, 56767, 50947, 53585, 59364, 56479, 59100, 50947, 54526, 53271, 50896, 56479, 51064, 59908, 50626, 50456, 50625, 55046, 50459, 50625, 57448, 63642, 61446, 57998, 59100, 50417, 50625, 50420, 50625, 50423, 50624, 50426, 50624, 63642, 63965, 57998, 50998, 71832, 50929, 52877, 62867, 59100, 50439, 61446, 79186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 1769, 12, 20764, 5175, 8, 15855, 15229, 11, 163, 538, 6, 4246, 10, 13305, 14, 1974, 10, 15352, 30054, 13931, 9, 381, 6, 274, 10431, 6, 2060, 6, 8, 274, 10431, 40286, 6, 2351, 10, 2933, 8, 9066, 5466, 20455, 9, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 71691, 51503, 51077, 51146, 77772, 51147, 53770, 50902, 53387, 51028, 53913, 51503, 51103, 50965, 53999, 50916, 54058, 51040, 53586, 50916, 50892, 58439, 75427, 51177, 69980, 53770, 50902, 53387, 50931, 53913, 51176, 68800, 64480, 51147, 62063, 51027, 75406, 51220, 58460, 51176, 51455, 50329, 69821, 51146, 58298, 50899, 73752, 51430, 50925, 71691, 51176, 51177, 51028, 51127, 51399, 54994, 51040, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 51028, 51127, 51399, 54994, 51040, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 71007, 55874, 50639, 50899, 53920, 50639, 51040, 58399, 56054, 50639, 50965, 50833, 71691, 51176, 51177, 50965, 51422, 51028, 51538, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 63142, 64449, 61157, 50639, 50456, 50639, 51040, 65479, 69791, 58565, 50639, 71691, 51176, 51177, 50877, 59353, 52115, 51040, 65479, 69791, 52483, 51176, 63142, 64449, 52605, 51040, 59389, 59374, 52446, 51176, 68468, 75203, 53218, 51040, 54058, 51176, 57348, 58000, 52961, 51040, 60540, 61026, 50805, 59130, 51177, 50989, 51422, 50973, 51538, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 60785, 50639, 50450, 50639, 51378, 59198, 61419, 61157, 50639, 50456, 50639, 51086, 71274, 61622, 58565, 50639, 71691, 51378, 51177, 50861, 56964, 52115, 51086, 71274, 61622, 52483, 51378, 59198, 61419, 52605, 51086, 58399, 57586, 52446, 50640, 51378, 63142, 71123, 58627, 50640, 50444, 50639, 51086, 60785, 50639, 50450, 50639, 51378, 61432, 57254, 61157, 50639, 50456, 50639, 51086, 71321, 68468, 58565, 50639, 57551, 51177, 50916, 51675, 50877, 51358, 50417, 50640, 56945, 53770, 51315, 53387, 51027, 53913, 51315, 53999, 51027, 76451, 61432, 52596, 51315, 61432, 57254, 52961, 51027, 59389, 69791, 50805, 57551, 51177, 50973, 59353, 52115, 51027, 59389, 69791, 52483, 51315, 61622, 60946, 52605, 51027, 58007, 68694, 52446, 51315, 69791, 51183, 50968, 56027, 51027, 54058, 51315, 53586, 51027, 50892, 59130, 51177, 50989, 51675, 50973, 51358, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 71321, 63142, 59414, 50639, 50450, 50639, 51378, 63142, 64449, 61157, 50639, 50456, 50639, 51086, 68219, 68694, 58565, 50639, 71691, 51378, 51177, 51028, 63707, 52115, 51086, 68219, 68694, 52483, 51378, 69791, 65655, 52605, 51086, 60756, 62244, 52446, 51378, 68694, 51183, 51114, 56027, 51086, 54058, 51378, 53586, 51086, 50892, 58526, 51177, 50965, 51422, 51028, 51538, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 63142, 64449, 61157, 50639, 50456, 50639, 51040, 65479, 69791, 58565, 50639, 71691, 51176, 51177, 50877, 59353, 52115, 51040, 65479, 69791, 52483, 51176, 63142, 64449, 52605, 51040, 59389, 59374, 52446, 51176, 68468, 75203, 53218, 51040, 54058, 51176, 57348, 58000, 52961, 51040, 60540, 61026, 50805, 59130, 51177, 50989, 51422, 50973, 51538, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 60785, 50639, 50450, 50639, 51378, 59198, 61419, 61157, 50639, 50456, 50639, 51086, 71274, 61622, 58565, 50639, 71691, 51378, 51177, 50861, 56964, 52115, 51086, 71274, 61622, 52483, 51378, 59198, 61419, 52605, 51086, 58399, 57586, 52446, 50640, 51378, 63142, 71123, 58627, 50640, 50444, 50639, 51086, 60785, 50639, 50450, 50639, 51378, 61432, 57254, 61157, 50639, 50456, 50639, 51086, 71321, 68468, 58565, 50639, 57551, 51177, 50916, 56876, 51623, 50417, 50640, 56945, 76451, 53890, 51315, 61432, 73576, 51027, 53913, 51315, 53999, 51027, 76451, 61432, 52596, 51315, 61432, 57254, 52961, 51027, 59389, 69791, 50805, 57551, 51177, 50973, 59353, 52115, 51027, 59389, 69791, 52483, 51315, 61622, 60946, 52605, 51027, 58007, 68694, 52446, 51315, 69791, 51183, 50968, 56027, 51027, 59389, 54230, 51315, 63142, 53702, 51027, 64233, 50873, 59130, 51177, 50989, 58654, 51623, 64401, 71321, 53890, 51378, 63142, 73576, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 71321, 63142, 59414, 50639, 50450, 50639, 51378, 63142, 64449, 61157, 50639, 50456, 50639, 51086, 68219, 68694, 58565, 50639, 71691, 51378, 51177, 51028, 63707, 52115, 51086, 68219, 68694, 52483, 51378, 69791, 65655, 52605, 51086, 60756, 62244, 52446, 51378, 68694, 51183, 51114, 56027, 51086, 68219, 54230, 51378, 68468, 53702, 51086, 71274, 50873, 58526, 51177, 50965, 62036, 51623, 61683, 60540, 53890, 51176, 68468, 73576, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60540, 68468, 59414, 50639, 50450, 50639, 51176, 68468, 68250, 61157, 50639, 50456, 50639, 51040, 66289, 62244, 58565, 50639, 71691, 51176, 51177, 51001, 78809, 52115, 51040, 66289, 62244, 52483, 51176, 68694, 76724, 52605, 51040, 65064, 61352, 52446, 50640, 51176, 62244, 51183, 51147, 50983, 50441, 50640, 50444, 50640, 51040, 51568, 50329, 62617, 50639, 50450, 50639, 51176, 79110, 73559, 50639, 50456, 50639, 51040, 76919, 63007, 50639, 71691, 51176, 51177, 50965, 62036, 51675, 50931, 51358, 61683, 60540, 53890, 51176, 68468, 73576, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60540, 68468, 59414, 50639, 50450, 50639, 51176, 68468, 68250, 61157, 50639, 50456, 50639, 51040, 66289, 62244, 58565, 50639, 71691, 51176, 51177, 51001, 78809, 52115, 51040, 66289, 62244, 52483, 51176, 68694, 76724, 52605, 51040, 65064, 61352, 52446, 50640, 51176, 69791, 62377, 51183, 51147, 66584, 50640, 50444, 50640, 51040, 58007, 62617, 50639, 50450, 50639, 51176, 61026, 60976, 50639, 50456, 50639, 51040, 65479, 63007, 50639, 71691, 51176, 51177, 51399, 51077, 61683, 53770, 51176, 53387, 51040, 53913, 51378, 74908, 64486, 51086, 54058, 51378, 53586, 51086, 50892, 58526, 51177, 51028, 51218, 51081, 60055, 51040 ]
[ 0, 250, 765, 8, 182, 1769, 5175, 2214, 11, 12608, 3694, 6, 4246, 10, 2382, 3459, 8669, 816, 5, 483, 33301, 6, 7513, 30, 38668, 18569, 6, 38668, 3038, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15352, 30054, 8, 2933, 23225, 19, 41, 20425, 8, 1372, 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, 0, 0, 0, 0, 0 ]	[ 71691, 50791, 50949, 51544, 50837, 51570, 52763, 51842, 53028, 50949, 51544, 50837, 51570, 52763, 51842, 55563, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 55563, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 50799, 59523, 51025, 55833, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 59917, 51025, 57539, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 55443, 52919, 53792, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 54326, 51025, 51394, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 55189, 51025, 51629, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 52544, 52919, 51201, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 55409, 51025, 55015, 51025, 54322, 51422, 51281, 51422, 51281, 51422, 51385, 51422, 51385, 51422, 51403, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 56348, 51025, 55751, 51025, 51325, 51025, 54161, 51700, 54968, 54677, 52919, 55928, 52919, 52022, 51025, 52358, 52396, 51325, 51025, 54161, 51700, 50837, 50799, 54322, 51422, 51281, 51422, 51385, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 51281, 51025, 51325, 51025, 54161, 51700, 54968, 51385, 51025, 52022, 51025, 52358, 52396, 51403, 51025, 51325, 51025, 54161, 51700, 50837, 50799, 52575, 51025, 51266, 51025, 52947, 51422, 51193, 51422, 51193, 51422, 51546, 51422, 51546, 51422, 51810, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 54968, 52685, 52919, 51165, 52919, 52053, 51025, 52358, 52396, 51186, 51025, 54161, 51700, 50837, 50799, 52947, 51422, 51193, 51422, 51546, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 51193, 51025, 51186, 51025, 54161, 51700, 54968, 51546, 51025, 52053, 51025, 52358, 52396, 51810, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 59523, 51025, 55833, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 59917, 51025, 57539, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 55443, 52919, 53792, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 54326, 51025, 51394, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 55189, 51025, 51629, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 52544, 52919, 51201, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 55409, 51025, 55015, 51025, 54322, 51422, 51281, 51422, 51281, 51422, 51385, 51422, 51385, 51422, 51403, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 56348, 51025, 55751, 51025, 51325, 51025, 54161, 51700, 54968, 54677, 52919, 55928, 52919, 52022, 51025, 52358, 52396, 51325, 51025, 54161, 51700, 50837, 50799, 54322, 51422, 51281, 51422, 51385, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 51281, 51025, 51325, 51025, 54161, 51700, 54968, 51385, 51025, 52022, 51025, 52358, 52396, 51403, 51025, 51325, 51025, 54161, 51700, 50837, 50799, 52575, 51025, 51266, 51025, 52947, 51422, 51193, 51422, 51193, 51422, 51546, 51422, 51546, 51422, 51810, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 54968, 52685, 52919, 51165, 52919, 52053, 51025, 52358, 52396, 51186, 51025, 54161, 51700, 50837, 50799, 52947, 51422, 51193, 51422, 51546, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 51193, 51025, 51186, 51025, 54161, 51700, 54968, 51546, 51025, 52053, 51025, 52358, 52396, 51810, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 56765, 51134, 60829, 51134, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 52053, 51025, 54161, 51700, 54151, 56765, 51134, 60829, 67082, 52053, 51025, 52358, 52396, 56765, 51025, 60829, 51025, 52053, 51025, 54161, 51700, 50837, 50799, 54677, 51134, 55928, 51134, 52473, 51422, 51268, 51422, 51268, 51422, 51193, 51422, 51193, 51422, 51385, 51422, 51385, 51422, 51213, 59486, 52493, 52437, 52022, 51025, 54161, 51700, 54151, 56131, 50866, 61043, 54014, 56131, 51025, 61043, 51025, 52022, 51025, 52358, 52396, 54677, 51025, 55928, 51025, 52022, 51025, 54161, 51700, 50837, 50799, 55646, 51134, 57607, 51134, 51815, 51422, 51089, 51422, 51089, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51019, 59486, 52493, 52437, 51415, 51025, 54161, 51700, 54151, 55646, 50866, 57607, 54014, 56765, 51025, 60829, 51025, 51415, 51025, 52358, 52396, 55646, 51025, 57607, 51025, 51415, 51025, 54161, 51700, 50837, 50799, 56348, 51115, 55751, 51115, 53761, 51025, 51395, 51025, 52947, 51422, 51341, 51422, 51341, 51422, 51020, 51422, 51020, 51422, 51193, 51422, 51193, 51422, 51105, 59486, 52493, 52437, 53761, 50866, 51395, 50866, 51186, 51025, 54161, 51700, 54151, 53761, 51109, 51395, 61148, 51186, 51025, 52358, 52210, 53761, 50866, 51395, 54356, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 56765, 51134, 60829, 51134, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 52053, 51025, 54161, 51700, 54151, 56765, 51134, 60829, 67082, 52053, 51025, 52358, 52396, 56765, 51025, 60829, 51025, 52053, 51025, 54161, 51700, 50837, 50799, 54677, 51134, 55928, 51134, 52473, 51422, 51268, 51422, 51268, 51422, 51193, 51422, 51193, 51422, 51385, 51422, 51385, 51422, 51213 ]
[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 8, 38668, 9590, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 15352, 30054, 8, 11299, 16464, 11, 5, 762, 9, 274, 10431, 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, 0, 0, 0, 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, 54133, 50830, 54133, 50830, 58606, 55394, 52751, 51297, 52751, 51269, 58606, 53910, 58606, 53901, 54133, 55730, 58606, 52810, 53190, 51252, 58606, 54350, 52452, 50830, 54238, 57917, 52751, 50800, 54238, 56197, 53079, 50800, 54238, 52800, 54133, 51550, 54238, 53211, 52452, 50800, 54238, 50813, 50799, 52751, 50800, 54170, 54202, 54133, 51252, 54170, 53910, 54170, 52524, 52751, 56552, 54170, 52810, 52751, 50800, 54170, 54112, 54133, 52179, 55042, 78017, 56742, 50800, 55042, 55854, 54133, 50800, 55042, 52800, 53079, 51550, 55042, 54319, 54133, 50800, 55042, 50854, 50799, 54133, 50830, 58606, 55394, 52751, 51550, 58606, 55946, 58606, 52654, 54133, 56739, 58606, 52810, 53190, 51550, 58606, 56000, 52452, 50800, 54238, 57917, 52751, 50800, 54238, 56197, 53079, 50809, 54238, 52800, 54133, 51550, 54238, 53211, 52452, 50830, 54238, 50854, 50799, 52751, 50800, 54170, 54202, 54097, 51252, 54170, 55946, 54170, 65450, 52751, 66942, 54170, 54215, 54133, 51550, 54170, 56000, 54205, 50800, 55042, 55608, 54133, 50800, 55042, 55854, 54133, 50800, 55042, 54208, 54205, 52946, 55042, 53920, 54133, 50830, 55042, 50833, 50799, 54133, 50830, 58606, 55394, 52751, 51269, 58606, 55946, 58606, 53906, 54133, 54889, 58606, 54215, 53190, 51319, 58606, 56788, 52452, 50830, 54238, 55608, 52751, 50800, 54238, 54043, 53079, 50809, 54238, 52800, 54133, 51550, 54238, 52863, 52452, 50800, 54238, 50833, 50799, 52751, 50800, 54170, 53004, 54133, 51252, 54170, 55946, 54170, 53906, 52751, 54889, 54170, 54215, 52751, 50800, 54170, 56529, 54133, 52179, 55042, 78013, 56742, 50800, 55042, 55854, 54133, 50800, 55042, 52800, 53079, 51550, 55042, 52863, 54133, 50800, 55042, 50854, 50799, 52174, 50800, 54242, 54711, 54133, 51252, 54242, 53910, 54242, 53906, 52174, 51142, 50429, 54242, 53911, 53079, 50941, 54242, 54350, 55013, 50830, 54242, 78013, 52174, 50800, 54242, 77302, 52174, 51000, 54242, 52800, 52174, 50800, 54242, 52863, 73217, 54242, 50810, 50799, 54205, 50830, 55042, 77946, 54097, 50830, 55042, 53244, 54205, 50933, 55042, 58466, 55013, 51269, 55042, 55643, 56742, 50830, 55042, 50938, 50441, 54205, 50830, 55042, 64043, 55013, 51269, 55042, 53688, 56742, 50800, 55042, 57939, 54205, 50830, 55042, 50959, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 12, 20764, 3495, 8, 5175, 657, 2214, 4246, 10, 38668, 11212, 6, 23338, 33518, 1264, 6, 3459, 9590, 6, 13305, 6, 8, 21072, 6, 19, 10, 15352, 30054, 8, 1372, 16464, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 5705, 13774, 10, 33215, 16739, 9, 211, 6, 1918, 6, 3676, 6, 163, 6, 8, 272, 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 ]	[ 57128, 50799, 53278, 51313, 52507, 51145, 53465, 51445, 58644, 50844, 51465, 51244, 51231, 51145, 51327, 51080, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 50964, 51582, 53067, 53356, 52331, 50948, 64604, 66501, 52079, 50870, 53666, 53670, 54117, 50948, 50953, 55271, 52079, 50928, 51556, 53836, 52958, 52684, 51145, 51465, 51314, 51249, 51145, 51327, 51080, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50893, 62865, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 52583, 51445, 52507, 51447, 54008, 52212, 52571, 51145, 51410, 51145, 51231, 51047, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50884, 50964, 51179, 53963, 52872, 56223, 51158, 65340, 66501, 54545, 50863, 53666, 53670, 55704, 50865, 51019, 53710, 52079, 50891, 51556, 52079, 53115, 52693, 51145, 52684, 51445, 52326, 51080, 51410, 51244, 51303, 51080, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 78742, 50806, 66777, 66501, 53963, 50870, 54287, 50891, 51453, 53963, 50870, 51621, 53836, 50863, 50799, 53460, 51148, 53278, 52337, 51476, 51244, 51465, 51145, 51249, 51148, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 78742, 50858, 51069, 52153, 53067, 53356, 58644, 51021, 50964, 51021, 66501, 52079, 50870, 53666, 53670, 58644, 51030, 50964, 56832, 52079, 50928, 51556, 53836, 52958, 56470, 51148, 54165, 51080, 54872, 51080, 52571, 51244, 51465, 51145, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50923, 72998, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 56643, 51243, 53460, 51243, 52690, 51353, 51476, 51243, 51465, 51445, 51938, 50888, 50908, 53321, 71881, 52079, 50982, 51510, 53963, 52872, 58644, 50865, 60654, 66501, 54545, 50863, 53666, 53670, 56223, 50948, 50927, 55271, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 52793, 70041, 52079, 50891, 51618, 58514, 53515, 52846, 55704, 50806, 58337, 66501, 58264, 53127, 50870, 54287, 50891, 51453, 59376, 52793, 50870, 51621, 53836, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 54183, 56596, 51582, 53963, 55375, 58644, 50836, 63812, 51008, 50964, 52217, 53067, 53356, 52331, 50936, 62975, 66501, 52079, 57265, 56596, 55819, 53670, 54117, 50948, 63812, 50874, 50953, 55271, 52079, 55762, 62967, 51277, 50791, 53836, 52958, 52684, 51148, 51465, 51047, 51249, 51127, 51327, 51244, 51938, 50888, 50891, 77165, 55338, 54225, 53836, 55686, 62967, 60593, 52079, 52846, 55704, 50911, 72488, 66501, 53836, 56782, 55338, 55991, 54038, 50756, 50291, 51312, 50791, 52079, 50928, 51621, 53836, 50891, 50799, 52583, 51151, 52507, 51080, 54008, 56308, 52571, 51183, 51410, 51145, 51231, 51183, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50862, 50964, 50862, 69889, 52872, 56223, 50865, 58773, 66501, 54545, 50863, 53666, 53670, 55704, 73732, 51370, 52079, 50891, 51556, 52079, 53115, 52693, 51145, 52684, 51151, 52326, 51047, 51410, 51145, 51303, 51148, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 56223, 51427, 50927, 51427, 66501, 53963, 50870, 54287, 50891, 51453, 53963, 50870, 51621, 53836, 50863, 50799, 53460, 51148, 53278, 51244, 51476, 51183, 51465, 51183, 51249, 51047, 51938, 50888, 50863, 53321, 74236, 53963, 50368, 51765, 54951, 62761, 50841, 51096, 51406, 53067, 53356, 58644, 68152, 51650, 64116, 52079, 50870, 53666, 70365, 53575, 56223, 62415, 51370, 52079, 50928, 51556, 53836, 52958, 56470, 51148, 53278, 55174, 54165, 52440, 54872, 51148, 52571, 51047, 51465, 51127, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 51379, 51019, 51379, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 56643, 51445, 53460, 51313, 52690, 51151, 51476, 51264, 51465, 51445, 51938, 50888, 50908, 53321, 54605, 51250, 50891, 51536, 50891, 58374, 50891, 66322, 52465, 52079, 58362, 58644, 76409, 50837, 51536, 50891, 69019, 58374, 50837, 66322, 52465, 53963, 52872, 56223, 50893, 65557, 66501, 54545, 50863, 53666, 53670, 58644, 68152, 51370, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 53045, 70041, 52079, 50891, 51618, 58514, 52499, 52846, 58644, 50924, 51971, 50942, 64666, 66501, 58264, 52823, 56597, 51760, 53821, 53556, 56223, 50879, 51756, 50955, 65340, 52574, 51087, 52823, 55397, 52721, 53330, 56581, 52823, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51756, 50942, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 58644, 50836, 50964, 52217, 53067, 53356, 52331, 50936, 51971, 50839, 62975, 66501, 52079, 57265, 51971, 51124, 50920, 53670, 54117, 50948, 50953, 55271, 52079, 50928, 51556, 53836, 52958, 52684, 51148, 51756, 51003, 51465, 51047, 51249, 51127, 51327, 51244, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50911, 51971, 50810, 72488, 66501, 53836, 56782, 51756, 51058, 58270, 51453, 52079, 56232, 51760, 55690, 53836, 50891, 50799, 52583, 51151, 52507, 51080, 54008, 56308, 52571, 51183, 51410, 51145, 51231, 51183, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50862, 50964, 50862, 69889, 52872, 56223, 50865, 58773, 66501, 54545, 50863, 53666, 53670, 55704, 50795, 52387, 50863, 51019, 51370, 52079, 55799, 52387, 54220, 52079, 53115, 52693, 51145, 52684, 51151, 51850, 50981, 52326, 51047, 51410, 51145, 51303, 51148, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 56223, 51427, 51971, 50827, 50927, 51427, 66501, 53963, 56597, 51760, 70581, 50891, 51453, 53963, 55397, 51756, 57202, 53836, 50863, 50799, 53460, 51148, 53278, 51244, 51476, 51183, 51465, 51183, 51249, 51047, 51938, 50888, 58593, 52721, 57831, 74236, 53963, 50368, 51765, 54951, 62761, 50841, 51096, 51406, 55767, 53045, 53356, 58644, 51060, 52213, 50835, 50964, 51650, 64116, 52079, 50870, 53666, 70365, 53575, 56223, 50795, 52213, 51328, 50927, 51370, 59717, 52523, 50928, 51556, 53836, 52958, 56470, 51148, 53278, 55174, 54165, 52440, 54872, 51148, 52571, 51047, 51465, 51127, 51938, 50888, 65004, 53037, 51097, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 51379, 54598, 51008, 51019, 51379, 66501, 53836, 56782, 53037, 50972, 58270, 51453, 52079, 56232, 54227, 51542, 50791, 53836, 50891, 50799, 56643, 51445, 53460, 51313, 52690, 51151, 51476, 51264, 51465, 51445, 51938, 50888, 50908, 53321, 54605, 51250, 50891, 51536, 50891, 58374, 50891, 66322, 52465, 52079, 58362, 58644, 76409, 50837, 51536, 50891, 69019, 58374, 50837, 66322, 52465, 58264, 53762, 52872, 56223, 50893, 65557, 66501, 54545, 50863, 53666, 53670, 58644, 68152, 51370, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 52499, 70041, 52079, 50891, 51618, 58514, 52291, 52846, 58644, 50924, 51971, 50854, 64666, 66501, 58264, 53045, 56597, 51760, 55819, 53556, 56223, 50879, 51756, 50827, 65340, 52574, 51087, 53045, 55397, 52721, 55999, 56581, 53045, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51756, 50874, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 58644, 50836, 50964, 52217, 53067 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 3152, 2214, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 10326, 3459, 8669, 8, 4401, 757, 3178, 310, 5, 1049, 34879, 6, 7513, 30, 17465, 102, 6, 17605, 9590, 6, 8, 21072, 4, 20, 1349, 16, 11, 83, 3694, 6, 34, 10, 7212, 20889, 9, 8017, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 272, 401, 6, 1918, 406, 6, 272, 73, 495, 6, 230, 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 ]	[ 57333, 50799, 53797, 76915, 50845, 53158, 53906, 50856, 67055, 53387, 50856, 53632, 54233, 53482, 51965, 50856, 53632, 50807, 51955, 52961, 54330, 51254, 50799, 53633, 53142, 50798, 52115, 50856, 53450, 50856, 59904, 54342, 50856, 53197, 51646, 51321, 51747, 55322, 51321, 53668, 51321, 52741, 51321, 67893, 56210, 53482, 50972, 51321, 50808, 50799, 53508, 74744, 50901, 53158, 53450, 50856, 59904, 54259, 50856, 53948, 67458, 53394, 51283, 50856, 53948, 50838, 51955, 53586, 53508, 50838, 50799, 54330, 51592, 50798, 50943, 53158, 53450, 50856, 59904, 52309, 50856, 53948, 54137, 51321, 52972, 55945, 52060, 54023, 50584, 54672, 51553, 54023, 50584, 52848, 53482, 50955, 51321, 59488, 74859, 53586, 55393, 50375, 53120, 66103, 50812, 50799, 53797, 51051, 51289, 52972, 54644, 55393, 55921, 52921, 53482, 65024, 61319, 53387, 55393, 55921, 53948, 60698, 53482, 51174, 56797, 53948, 58627, 55393, 54478, 53482, 64533, 53633, 50972, 50903, 52961, 53482, 50904, 50799, 53797, 72494, 52115, 55393, 72153, 52921, 53482, 65024, 61319, 54342, 55393, 55921, 53835, 53505, 53482, 68112, 51321, 53197, 66798, 55393, 54478, 53482, 51174, 51321, 54803, 51321, 52843, 54330, 51051, 51321, 58713, 52931, 53633, 53701, 50584, 50810, 50799, 53797, 64788, 57437, 55393, 55921, 52580, 53482, 65024, 60433, 54259, 55393, 55921, 53970, 51432, 50435, 53482, 51174, 56797, 53970, 58978, 55393, 54478, 53482, 53567, 53508, 50972, 50903, 53586, 53394, 50904, 50799, 53797, 72494, 60413, 55393, 55921, 52580, 53482, 65024, 60433, 55214, 55393, 55921, 53970, 60282, 53482, 68112, 51321, 53197, 69692, 53633, 54478, 54330, 51174, 52060, 52346, 50584, 54803, 51553, 54023, 50584, 52843, 53633, 50972, 51321, 58713, 74859, 53586, 53482, 76385, 66103, 63849, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51051, 51089, 51283, 51289, 52757, 50584, 53197, 54644, 55393, 50851, 51020, 51380, 51321, 58713, 53770, 53482, 50972, 50431, 51268, 66013, 55393, 54858, 50584, 58713, 60282, 53482, 51254, 50436, 51815, 51484, 50437, 51282, 51645, 50438, 51118, 52188, 51065, 56104, 68861, 55393, 54682, 53482, 51376, 51065, 72900, 62617, 51065, 54823, 53633, 51074, 51118, 50874, 51282, 58948, 72900, 53702, 53482, 73340, 72900, 50805, 50460, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51376, 51089, 51283, 51321, 53948, 52864, 55393, 51210, 51020, 51380, 51321, 59904, 53466, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 59904, 61647, 53482, 51376, 50436, 51815, 51283, 50437, 51282, 51637, 50438, 51118, 51965, 51065, 54592, 50578, 68861, 55393, 54682, 53482, 51376, 51065, 54592, 50576, 53562, 54330, 77219, 53633, 50370, 52094, 54592, 50572, 50845, 50460, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51210, 51089, 51283, 51321, 53948, 58879, 55393, 50907, 51020, 51380, 51321, 59904, 52483, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 59904, 57807, 53482, 51376, 50436, 51083, 51484, 50437, 51268, 51645, 50438, 51023, 52188, 51065, 63054, 60132, 55393, 54682, 53482, 50370, 52094, 73156, 59414, 51065, 56881, 53508, 51074, 51023, 50874, 51268, 58948, 73156, 52961, 55160, 73340, 73156, 50805, 50460, 51083, 53577, 50461, 51268, 52256, 50799, 53797, 51376, 51023, 51283, 51321, 53835, 52864, 55393, 50907, 51092, 51380, 51321, 61319, 52483, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 61319, 60282, 53482, 51376, 50436, 51083, 51627, 50437, 51268, 51637, 50438, 51023, 51965, 51065, 54858, 50578, 68861, 53633, 54682, 54330, 51376, 51065, 76937, 53562, 53633, 59435, 53482, 54592, 50576, 64088, 74879, 51326, 61629, 51083, 53577, 51289, 59026, 51061, 52256, 50799, 53633, 51210, 51023, 51283, 51321, 53197, 55689, 54330, 50907, 51092, 51380, 51321, 58713, 53890, 53394, 51074, 50431, 51208, 66013, 54330, 54592, 50584, 58713, 60282, 53394, 51376, 50436, 51282, 51484, 50437, 51083, 51645, 50438, 51061, 52188, 51065, 56104, 68861, 54330, 54682, 53394, 51376, 51065, 72900, 65782, 51065, 54823, 53508, 51074, 71375, 51083, 58948, 72900, 60345, 53394, 73340, 72900, 50795, 50460, 51083, 53577, 50461, 51061, 52256, 50799, 53633, 51376, 51023, 51283, 51321, 53948, 52864, 54330, 51210, 51092, 51380, 51321, 59904, 56346, 53394, 51074, 50431, 51208, 66013, 54330, 54592, 50584, 59904, 61647, 53394, 51376, 50436, 51282, 51283, 50437, 51083, 51637, 50438, 51061, 51965, 51065, 54592, 50578, 68861, 54330, 57043, 53394, 51470, 51065, 54592, 50576, 53562, 54289, 51365, 50456, 53508, 50369, 52094, 54592, 50572, 50845, 50460, 51083, 53577, 50461, 51061, 52256, 50799, 53633, 51365, 51023, 51283, 51321, 53948, 58879, 54330, 50984, 51092, 51380, 51321, 59904, 63098, 53394, 51166, 50431, 51208, 66013, 54330, 58112, 50584, 59904, 63363, 53394, 51470, 50436, 51020, 51484, 50437, 51208, 51645, 50438, 51185, 52188, 51065, 63054, 62532, 54330, 57043, 53394, 50369, 52094, 73156, 55967, 51065, 56881, 54664, 51166, 51185, 50874, 51208, 58948, 73156, 52325, 57953, 50369, 52268, 73156, 50806, 50460, 51020, 53577, 50461, 51208, 52256, 50799, 53633, 51470, 51185, 51283, 51321, 53835, 55099, 54330, 50984, 51530, 51380, 51321, 61319, 57078, 53394, 51166, 50431, 51208, 66013, 54330, 58112, 50584, 61319, 60282, 53394, 51470, 50436, 51020, 51627, 50437, 51208, 51637, 50438, 51185, 51965, 51065, 54858, 50578, 68861, 53508, 57043, 54289, 51470, 51065, 76937, 53562, 53508, 62524, 53394, 50369, 55801, 67000, 74879, 51326, 61630, 51083, 52212, 51289, 58693, 51020, 52441, 50799, 55950, 51058, 51193, 52063, 50798, 58315, 51185, 54177, 53797, 55759, 65280, 62846, 51092, 53272, 53900, 50838, 51092, 50987, 51321, 54937, 51193, 50372, 54936, 71367, 53797, 63221, 51456, 71259, 53900, 50827, 51083, 52136, 51224, 61360, 51020, 52034, 50438, 51193, 51884, 50798, 58935, 53797, 75396, 51321, 53041, 53900, 51006, 51023, 52063, 50798, 70577, 51321, 53938, 53482, 50972, 51020, 51376, 51321, 53630, 52935, 53900, 51051, 51193, 55136, 67049, 61629, 51118, 52212, 50461, 51341, 52441, 50799, 53482, 51174, 51020, 52063, 62031, 50415, 51092, 54177, 53633, 51051, 51321, 53630, 62658, 51193, 53272, 54198, 77296, 60539, 51023, 55651, 65280, 60673, 53633, 50912, 53924, 58853, 54198, 50912, 51118, 52136, 50804, 58572, 51341, 52034, 50438, 51023, 51884, 50798, 50942, 50441, 53394, 54947, 53508, 51254, 51020, 52063, 51321, 64684, 50798, 57415, 53394, 51079, 51341, 69096, 54198, 51142, 51020, 62274, 66660, 50798, 50959, 50460, 51118, 52212, 50461, 51089, 52441, 50799, 53482, 51376, 51020, 52063, 50415, 51092, 53656, 58793, 53633, 51210, 51321, 63630, 51193, 54438, 58216, 54330, 51074, 51193, 50987, 51321, 54937, 51023, 50372, 54936, 61231, 53633, 76969, 51456, 51126, 50436, 54330, 50907, 51118, 52136, 51224, 59701, 51089, 52034, 50438, 51023, 51884, 50798, 50897, 50441, 53394, 50984, 50443, 51321, 54247, 53508, 51470, 51020, 52063, 50798, 51008, 50445, 51321, 53886, 53394, 51166, 51089, 51376, 51321, 53630, 54896, 54330, 51365, 51020, 62274, 54200, 50933, 50460, 51557, 52212, 50461, 51341, 52441, 77633, 51470, 51020, 52063, 50798, 50942, 50415, 51193, 54177, 53394, 51365, 51321, 63630, 51023, 54438, 55640, 53508, 51166, 51023, 60539, 51020, 55651, 50375, 53323, 64458, 53394, 50984, 53924, 62439, 53508, 50984, 51557, 52136, 50804, 58572, 51341, 52034, 50438, 51020 ]
[ 0, 250, 15855, 2125, 19, 25771, 4785, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 22845, 41708, 4, 2595, 10312, 30, 10, 6755, 12547, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 12280, 3275, 1725, 3109, 6, 8, 1076, 560, 31365, 25999, 6, 24, 30853, 23, 10, 2635, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 24, 1575, 10, 33215, 16739, 9, 274, 6, 1918, 6, 8, 211, 119, 4, 20, 34879, 32, 16634, 8, 5679, 26709, 6, 6946, 1235, 157, 7, 10, 822, 19834, 50, 10, 1151, 9, 5128, 12456, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57128, 55298, 51397, 51246, 51073, 51037, 51056, 50417, 52044, 51290, 51007, 72929, 52443, 51073, 50939, 51157, 50423, 52292, 51290, 50872, 51157, 65404, 51048, 69385, 50429, 52044, 51290, 51007, 51157, 50432, 52443, 51312, 50939, 51199, 50435, 52292, 51073, 50872, 51157, 51272, 50301, 51203, 51131, 51048, 50946, 51267, 50441, 52044, 51055, 51007, 65455, 52443, 51048, 50939, 51056, 50447, 52292, 51073, 55298, 64986, 69785, 79186, 50885, 51157, 50453, 52044, 51290, 51007, 51157, 50456, 52443, 51073, 50939, 51159, 50459, 52292, 51073, 76158, 50461, 51246, 51290, 51094, 50302, 51397, 51037, 51159, 50417, 52044, 51290, 51007, 51157, 50420, 52443, 51267, 50939, 51253, 50423, 52292, 51073, 76158, 65404, 76800, 51267, 50429, 52044, 51073, 51007, 69133, 52443, 51159, 50939, 51267, 50435, 52292, 51048, 76686, 51272, 50301, 51203, 51131, 51073, 50946, 51056, 50441, 52044, 51073, 51007, 74322, 52443, 51159, 50939, 51267, 50447, 52292, 51048, 55298, 51134, 50872, 70147, 50986, 51454, 50885, 51073, 50453, 52044, 51055, 51007, 67523, 52443, 51157, 50939, 51267, 50459, 52292, 51073, 58982, 50827, 76158, 51094, 50302, 51714, 51246, 51454, 52457, 50858, 51037, 51073, 50417, 52044, 51267, 52457, 57561, 51253, 50420, 52443, 51159, 52457, 50808, 50939, 51267, 50423, 52292, 51055, 52457, 51235, 50872, 62521, 50960, 51073, 69385, 50429, 52044, 51055, 51007, 68175, 52443, 51159, 52832, 59183, 51109, 50435, 52292, 51073, 52832, 56948, 76094, 51246, 51073, 52832, 50858, 51037, 51056, 50441, 52044, 51073, 54641, 50833, 51007, 74322, 52443, 51048, 54641, 59183, 51159, 50447, 52292, 51073, 54641, 51116, 50872, 75355, 50960, 51048, 69385, 50453, 52044, 51073, 51007, 74323, 52443, 51159, 60160, 58338, 51109, 50459, 52292, 51073, 58982, 50844, 76158, 51094, 50301, 51714, 51131, 51055, 52457, 75708, 51157, 50417, 52044, 51073, 52457, 72580, 75354, 52443, 51159, 52457, 50808, 50939, 51109, 50423, 52292, 51073, 52457, 51238, 76158, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 69133, 52443, 51267, 52832, 50808, 50939, 51312, 50435, 52292, 51290, 52832, 73044, 76094, 51131, 51290, 52832, 73696, 51159, 50441, 52044, 51073, 54641, 57561, 74322, 52443, 51159, 54641, 59183, 51267, 50447, 52292, 51073, 54641, 58521, 75355, 50960, 51157, 73304, 50453, 52044, 51073, 54641, 72580, 74323, 52443, 51159, 57435, 50866, 52832, 63654, 51109, 50459, 52292, 51073, 54641, 50854, 76158, 51094, 50299, 51151, 51207, 51454, 52832, 78952, 51073, 50417, 52044, 51055, 52457, 51291, 51007, 72929, 52443, 51048, 50939, 51159, 50423, 52049, 51056, 77643, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 51157, 50432, 52443, 51073, 50939, 51159, 50435, 52049, 51048, 50847, 67272, 51207, 51566, 50988, 51048, 50441, 52044, 51290, 51007, 74322, 52443, 51048, 50939, 51056, 50447, 52049, 51048, 50847, 70147, 50960, 51566, 50848, 51048, 50453, 52044, 51290, 51007, 67523, 52443, 51157, 50939, 51056, 50459, 52049, 51073, 56724, 55305, 51157, 54920, 51151, 79186, 52770, 65215, 51157, 50417, 52895, 51073, 52770, 50858, 51298, 51157, 50420, 51975, 51073, 52770, 61633, 51159, 50423, 52049, 51157, 52770, 51160, 50847, 68106, 79186, 50885, 51157, 50429, 52895, 51073, 51298, 51157, 50432, 51975, 51048, 52457, 57638, 51056, 50435, 52049, 51048, 52457, 61520, 69241, 50986, 51290, 52457, 65554, 51159, 50441, 52895, 51073, 52832, 50858, 51298, 74322, 51975, 51073, 52832, 55175, 51159, 50447, 52049, 51073, 52832, 50917, 68272, 50450, 79186, 50885, 51157, 50453, 52895, 51157, 52457, 51624, 50319, 77304, 51975, 51048, 50909, 51159, 50459, 52049, 51157, 52770, 56977, 51056, 68496, 51397, 51136, 51055, 50979, 51157, 50417, 52895, 51055, 52770, 50859, 51298, 72929, 52443, 51073, 52770, 63654, 51159, 50423, 52049, 51048, 52770, 51235, 68272, 50426, 51136, 51055, 50979, 51157, 50429, 52895, 51048, 51298, 51056, 50432, 52443, 51157, 52457, 64357, 51056, 50435, 52049, 51073, 52457, 57753, 51159, 65270, 51047, 51131, 51566, 50946, 51048, 50441, 52342, 51073, 52832, 60090, 67645, 51975, 51048, 52832, 50833, 50909, 51159, 50447, 52292, 51109, 52832, 58541, 77072, 50986, 51290, 76420, 50453, 52342, 51566, 54641, 50859, 51257, 80071, 51975, 51056, 52832, 50808, 50909, 51109, 50459, 52292, 51157, 54641, 56948, 51056, 51094, 50302, 51047, 51246, 51048, 52832, 56932, 51267, 50417, 52044, 51073, 52457, 51235, 51007, 75354, 52443, 51290, 50939, 51157, 50423, 52292, 51048, 76686, 65404, 51055, 50848, 51157, 50429, 52044, 51055, 54641, 64909, 68175, 52443, 51157, 52832, 50808, 50939, 51056, 50435, 52292, 51048, 54641, 56948, 51056, 51272, 50301, 51047, 51131, 51566, 52832, 68479, 51048, 50441, 52044, 51566, 52457, 51116, 51007, 51290, 50444, 52443, 51290, 50939, 51157, 50447, 52292, 51048, 50872, 75355, 50986, 51454, 50885, 51073, 50453, 52044, 51055, 54641, 50808, 51007, 51073, 50456, 52443, 51056, 52832, 56808, 51109, 50459, 52292, 51157, 54641, 73044, 51267, 51094, 50299, 51714, 51207, 51566, 52832, 50808, 50988, 51048, 50417, 52044, 51048, 52457, 51291, 51007, 75354, 52443, 51073, 50939, 51159, 50423, 52049, 51159, 69537, 65404, 51055, 50848, 51157, 50429, 52044, 51290, 51007, 51157, 50432, 52443, 51048, 50939, 51159, 50435, 52049, 51157, 50847, 67272, 51207, 51055, 50988, 51157, 50441, 52044, 51290, 51007, 65455, 52443, 51159, 50939, 51267, 50447, 52049, 51048, 50847, 70147, 50960, 76800, 51267, 50453, 52044, 51290, 51007, 51157, 50456, 52443, 51157, 52584, 50845, 58982, 59183, 51267, 50459, 52049, 51073, 58982, 59262, 51159, 51094, 50302, 51714, 51246, 51454, 52457, 56932, 51073, 50417, 52044, 51267, 52457, 57561, 51253, 50420, 52443, 51159, 52457, 50808, 50939, 51267, 50423, 52292, 51055, 52457, 50991, 50872, 62521, 50960, 51073, 69385, 50429, 52044, 51055, 51007, 68175, 52443, 51159, 52832, 63654, 51109, 50435, 52292, 51073, 52832, 50854, 50872, 76094, 51246, 51073, 52832, 50808, 51037, 51056, 50441, 52044, 51073, 54641, 64909, 74322, 52443, 51048, 54641, 59183, 51159, 50447, 52292, 51073, 54641, 57045, 75355, 50960, 51048, 69385, 50453, 52044, 51073, 51007, 74323, 52443, 51159, 55298, 50845, 58982, 50808, 50939, 51109, 50459, 52292, 51073, 58982, 50854, 76158, 51094, 50301, 51714, 51131, 51055, 52457, 73696, 51157, 50417, 52044, 51073, 52457, 72580, 75354, 52443, 51159, 52457, 56808, 51109, 50423, 52292, 51073, 52457, 51116, 76158, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 69133, 52443, 51267, 52832, 59183, 51312, 50435, 52292, 51290, 52832, 73044, 76094, 51131, 51290, 52832, 68479, 51159, 50441, 52044, 51073, 54641, 64909, 74322, 52443, 51159, 54641, 59183, 51267, 50447, 52292, 51073, 54641, 58541, 75355, 50960, 51157, 73304, 50453, 52044, 51073, 54641, 50833, 51007, 74323, 52443, 51159, 54144, 50845, 52832, 59183, 51109, 50459, 52292, 51073, 54641, 73044, 51159, 51094, 50299, 51714, 51207, 51454, 52832, 50808, 50988, 51073, 50417, 52044, 51055, 52457, 51446, 51007, 72929, 52443, 51048, 50939, 51159, 50423, 52049, 51056, 77643, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 51157, 50432, 52443, 51073, 50939, 51159, 50435, 52049, 51048, 50847, 67272, 51207, 51566, 50988, 51048, 50441, 52044, 51290, 51007, 74322, 52443, 51048, 50939, 51056, 50447, 52049, 51048, 50847, 70147, 50960 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 8, 11057, 930, 19, 10, 2933, 8, 20425, 16464, 6, 4246, 21072, 816, 11, 10, 7212, 204, 73, 306, 20889, 11, 5, 762, 9, 163, 3694, 6, 19, 10, 881, 3676, 1176, 406, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 52428, 51005, 54749, 54162, 55130, 54906, 62262, 62262, 62262, 62262, 58094, 53833, 53846, 53473, 52942, 52942, 53843, 51695, 51759, 53612, 53349, 53110, 58372, 61227, 65192, 54925, 51287, 50797, 52141, 52942, 55019, 53349, 52990, 52990, 57872, 70325, 50856, 50982, 50418, 50798, 58094, 55569, 53665, 55567, 55567, 62503, 51287, 50963, 51663, 60526, 60526, 66032, 56454, 53434, 52942, 52942, 53843, 53843, 53843, 53766, 51663, 60290, 55567, 55567, 55454, 55942, 55942, 54493, 53665, 53864, 61266, 61664, 58409, 50798, 54880, 55136, 55018, 64024, 50798, 54366, 54200, 64527, 50798, 54534, 54200, 53618, 53852, 53871, 53871, 53871, 54739, 54162, 50883, 59915, 50895, 51302, 53966, 52572, 54866, 54866, 54866, 54866, 53338, 53479, 53479, 53479, 53850, 53850, 51139, 51406, 51695, 53833, 53759, 52942, 52942, 53843, 53766, 53766, 54623, 58117, 56118, 56118, 58372, 57872, 60099, 54623, 56973, 50804, 62348, 53338, 51130, 51916, 51695, 60486, 50365, 51367, 79694, 65192, 58117, 63519, 51927, 50797, 55630, 54563, 53665, 55567, 55567, 55567, 55454, 55454, 61193, 50856, 59121, 60526, 60290, 60290, 56183, 55567, 50891, 51974, 53852, 54906, 54906, 52220, 58094, 51916, 51833, 53944, 54119, 52942, 52942, 52942, 52942, 53843, 53843, 53843, 53766, 51663, 55942, 53612, 53864, 53864, 51920, 57872, 56802, 52855, 51005, 53852, 52816, 62262, 58094, 53612, 59121, 55454, 55454, 62449, 50863, 54127, 51004, 55935, 55536, 54835, 54538, 53784, 54212, 52572, 53479, 53850, 53850, 51031, 50437, 50804, 52586, 65617, 51004, 51570, 54640, 53846, 54119, 54357, 52942, 52942, 53843, 53766, 51695, 51759, 53110, 53584, 53584, 55019, 60032, 77590, 53237, 53110, 52995, 52995, 51920, 52990, 55019, 61184, 50798, 55136, 59721, 50798, 54880, 55136, 55136, 55136, 55136, 54147, 54493, 59121, 56183, 55567, 62971, 61664, 60290, 60290, 56183, 56183, 55567, 55454, 50870, 52129, 62262, 62262, 62262, 52220, 58094, 55147, 54119, 52942, 53843, 53843, 53843, 51695, 51759, 53665, 70470, 71623, 61722, 50798, 54200, 54749, 52220, 58094, 55147, 53434, 52942, 54973, 60526, 60526, 55454, 54493, 53864, 53349, 52995, 60961, 79926, 55018, 53784, 54499, 54866, 54866, 54866, 54866, 53338, 53479, 54844, 52748, 51187, 52141, 55147, 52141, 52141, 52942, 52942, 53843, 53843, 53766, 53766, 54623, 60276, 56721, 50804, 63272, 57282, 54212, 52572, 54866, 53479, 51130, 52223, 53766, 59566, 50365, 51564, 60276, 58117, 60961, 56118, 58372, 58372, 54404, 67641, 50798, 53618, 53756, 52816, 54749, 62262, 62262, 58094, 51916, 54778, 53665, 55567, 55567, 55567, 60570, 50798, 58094, 54493, 60526, 60526, 60290, 60290, 56183, 55567, 55454, 55454, 55942, 50863, 51453, 51750, 54640, 58272, 53846, 54119, 53473, 54357, 52942, 52942, 53843, 53766, 53766, 51663, 59121, 59121, 54493, 54493, 53665, 53612, 59169, 61664, 59121, 60290, 56183, 54493, 53665, 53349, 53110, 50895, 57796, 54518, 50361, 50934, 71905, 62348, 62348, 56870, 56870, 57282, 56013, 50798, 54880, 54880, 54880, 54880, 55136, 55136, 54518, 71905, 55536, 55536, 55536, 63414, 50798, 54880, 54880, 55136, 55136, 54749, 53479, 50359, 50934, 63272, 62348, 62348, 62348, 56870, 57282, 57282, 54835, 56172, 50804, 57282, 55536, 50908, 51528, 53852, 53852, 53756, 54739, 54749, 54906, 62262, 62262, 52220, 58094, 51833, 51833, 51750, 54357, 52141, 52141, 52942, 52942, 51663, 53237, 52990, 62561, 57666, 50843, 53759, 53759, 53843, 53843, 54973, 59121, 53237, 51920, 52990, 52893, 68259, 56118, 50884, 63311, 72465, 68419, 50798, 55136, 75767, 54412, 51916, 53665, 55567, 55454, 70470, 77940, 50843, 51663, 59121, 60526, 60526, 56183, 55454, 53070, 53752, 52348, 51833, 51750, 54640, 55630, 54357, 52942, 53843, 53843, 53766, 51663, 60290, 55942, 54493, 53665, 53665, 53110, 53584, 53390, 53390, 57590, 58092, 50843, 53833, 55019, 59121, 79694, 55983, 50798, 54880, 54880, 54528, 63272, 55536, 53899, 50798, 54200, 54200, 53338, 78572, 50798, 54534, 54534, 54200, 53871, 52816, 54739, 62262, 52220, 50817, 59915, 54357, 50949, 51302, 53784, 52572, 52572, 54866, 54866, 53338, 53338, 53338, 53479, 51139, 51539, 51467, 51187, 51139, 51695, 52141, 52942, 52942, 52942, 53843, 53843, 54623, 60276, 57590, 58372, 56973, 50804, 62348, 56870, 54131, 52572, 53338, 53479, 51139, 55630, 53843, 57901, 79694, 60276, 58117, 57590, 58372, 60099, 54396, 55094, 50430, 51320, 55623, 54493, 56183, 55567, 55567, 55454, 58734, 50843, 53833, 51663, 59121, 60290, 56183, 55454, 55454, 62449, 51693, 51974, 52816, 54749, 54749, 58094, 51833, 55147, 52141, 52141, 52942, 52942, 52942, 53843, 53843, 54973, 53612, 53864, 60961, 60276, 59076, 50798, 54200, 53871, 54749, 58094, 55147, 53843, 54973, 59121, 60290, 60290, 54493, 53665, 53665, 53612, 53864, 50828, 53924, 51129, 55957, 60723, 50798, 54518, 63272, 62348, 53784, 54499, 54866, 54866, 53338, 53893, 57776, 50804, 71905, 62348, 51179, 54539, 53018, 51320, 54119, 54640, 53473, 52141, 52942, 52942, 53843, 53843, 53766, 51759, 51920, 53110, 53584, 56866, 50843, 53843, 55019, 52995, 52995, 53237, 53390, 53390, 53498, 53498, 60464, 50798, 55136, 55136, 55136, 54518, 53600, 59144, 50798, 54880, 55136, 51750, 54778, 54493, 59121, 56183, 56183, 56183, 56183, 55567, 65672, 52902, 53498, 60290, 55567, 55567, 55567, 53594, 52055, 51005, 62262, 52220, 58094, 55147, 54119, 52942, 52942, 53766, 51759, 53665, 53665, 60276, 62449, 61722, 52613, 51005, 54749, 54162, 52220, 51695, 52141, 54357, 53843, 53843, 53843, 54973, 60526, 55567, 53390, 56118, 50363, 51564, 50368, 51564, 60961, 50846, 56576, 51004, 57048, 50949, 51382, 62348, 54131, 54866, 54866, 53338, 53479, 53850, 53893, 54844, 58272, 53816, 54119, 52141, 54357, 52942, 52942, 52942, 53766, 53766, 51695, 54623, 61227, 60276, 60218, 56721, 50804, 54212, 52572, 54866, 53479, 53479, 51139, 51916, 53766, 56561, 79694, 58117, 60961, 56118, 58372, 58372, 57872, 57443, 50798, 62962, 79022, 54749, 54749, 54749, 54749, 55130, 52220, 58094, 55569, 53665, 56183, 56183, 55567, 55567, 55942, 60570, 50798, 52220, 58094, 54493, 59121, 56183, 55454, 55942, 55942, 50863, 51453, 54640, 53846, 54119, 52141, 53759, 52942, 52942, 52942, 53843, 54973, 53665, 53665, 53612, 53864, 52995, 61160, 51287, 50963, 53843, 54973, 59121, 60290, 55942, 54493, 53665, 53612, 53864, 56399, 50798, 54880, 54528, 50361, 50934, 71905, 71905, 62348, 62348, 56870, 56870, 55536, 56013, 50798, 54880, 54880, 54880, 55136, 55136, 55136, 54518, 56870, 63414, 50798, 55136, 55136, 51463, 71905, 63272, 63272, 62348, 62348, 57282, 57282, 57282, 57282, 54835, 50870, 56483, 57282, 50908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 15352, 30054, 11057, 12, 15076, 24904, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1619, 9450, 4, 590, 10, 23667, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 5, 13305, 8, 23338, 33518, 1264, 483, 5, 169, 6, 2800, 30, 5, 4066, 23225, 9, 5, 326, 5638, 18026, 6, 20535, 2810, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 211, 119, 1176, 406, 6, 83, 406, 6, 163, 119, 1176, 406, 6, 3676, 406, 6, 8, 1918, 1176, 406, 6, 1271, 7, 63, 17627, 17274, 8, 25306, 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 ]	[ 59626, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 50446, 51389, 60649, 51984, 51242, 50903, 51003, 50458, 51389, 51174, 66269, 71162, 55973, 52078, 50933, 50903, 62647, 64760, 54407, 50435, 52078, 60438, 52078, 53156, 75577, 52078, 60258, 52078, 50959, 50903, 62647, 50967, 50457, 52078, 61076, 54407, 53028, 50914, 50422, 55781, 51141, 51768, 62647, 64760, 54407, 50438, 52078, 56522, 51110, 50447, 51668, 52800, 51150, 51337, 50903, 62647, 64603, 51868, 53156, 50878, 56950, 58880, 55382, 51930, 51330, 50903, 55859, 55965, 51984, 51380, 50791, 51043, 53526, 68788, 51668, 71940, 51261, 51212, 50903, 51110, 51553, 77055, 51216, 62328, 50959, 51206, 50830, 55669, 76422, 50915, 50422, 51668, 57104, 51150, 51043, 51553, 72435, 51553, 68630, 51868, 50987, 51553, 58946, 51389, 65220, 50932, 51289, 50995, 50446, 51273, 55758, 51493, 63238, 51167, 50457, 51705, 51008, 54820, 50830, 53458, 76102, 50914, 50425, 53175, 51242, 52058, 50838, 52384, 50905, 51866, 51212, 51768, 62647, 64760, 54407, 50438, 51493, 64389, 51110, 51955, 62647, 50967, 52058, 51006, 51866, 50866, 53175, 50838, 52384, 78450, 54407, 53028, 50914, 50422, 51866, 51191, 52701, 51204, 52178, 51295, 50423, 51216, 50983, 51768, 62647, 64760, 54407, 51570, 51110, 50439, 52148, 51363, 51947, 51172, 52698, 51233, 50440, 51389, 51177, 51955, 62647, 50967, 50452, 51389, 51025, 50458, 54407, 50459, 51668, 50955, 50461, 51216, 50851, 53458, 51312, 50791, 50915, 51544, 51110, 50427, 53175, 50905, 51866, 50905, 52058, 51470, 52384, 50978, 53924, 50897, 54407, 50438, 51493, 56901, 79295, 51553, 54284, 51553, 56918, 51553, 52725, 51553, 50967, 53175, 50987, 51866, 50905, 52384, 50987, 52058, 51174, 57268, 50959, 51206, 50897, 51755, 50981, 51206, 50915, 50422, 51216, 51204, 52178, 50943, 51866, 51003, 52701, 51351, 51544, 50955, 55994, 50933, 55481, 55336, 50933, 53550, 67700, 50955, 51947, 51233, 52488, 51043, 53084, 51177, 52698, 51121, 50439, 51389, 51413, 55258, 62706, 50933, 53526, 56879, 64043, 57696, 51419, 51382, 62647, 51233, 57268, 55336, 50933, 53458, 69238, 51110, 57696, 50862, 51768, 51233, 50856, 51175, 51648, 50959, 51888, 50925, 52310, 50878, 51776, 50977, 50427, 57696, 51000, 53924, 54146, 50856, 56057, 51273, 51241, 51206, 51110, 50439, 57696, 50874, 51955, 51233, 50856, 50967, 57696, 50874, 53175, 50905, 52058, 51174, 52384, 51058, 51866, 50974, 54124, 55941, 50897, 53458, 51159, 50856, 51110, 50422, 77029, 51363, 50424, 52310, 50925, 51648, 50878, 51888, 50942, 51776, 50937, 51768, 51233, 50856, 51175, 50434, 51098, 51591, 50804, 54146, 50856, 50897, 77029, 51210, 56797, 51110, 57696, 51051, 50449, 53175, 50866, 52384, 50978, 51866, 50978, 52058, 51254, 51955, 51233, 50856, 50967, 57696, 51330, 54124, 54146, 50856, 50897, 54389, 64835, 50915, 60119, 52580, 50856, 51110, 60119, 78555, 51683, 50844, 52578, 50812, 51648, 50844, 52002, 50942, 53924, 61965, 55467, 51273, 73497, 51043, 60119, 51365, 50446, 51553, 54284, 51553, 56918, 51553, 50820, 52194, 50892, 52698, 51254, 52488, 50838, 52148, 58262, 51553, 50967, 60119, 50904, 57268, 50959, 51206, 50897, 53458, 51003, 50422, 52310, 51267, 51648, 50995, 51888, 50943, 50423, 77029, 51242, 51776, 50943, 51544, 51365, 55994, 72215, 54928, 77029, 65867, 51098, 51077, 51570, 50933, 51866, 50974, 53175, 51058, 52384, 50987, 52058, 51210, 50439, 57696, 60696, 52653, 55894, 73311, 56033, 50959, 52320, 63551, 58053, 60864, 56033, 51252, 50461, 57696, 50822, 53458, 73497, 51110, 50425, 57696, 50827, 51768, 51233, 50856, 51175, 53175, 50978, 51866, 51006, 52384, 50978, 50427, 52058, 51376, 53924, 54146, 50856, 50897, 50437, 57696, 64147, 51389, 51391, 50856, 51110, 50449, 57696, 51432, 52310, 50866, 51648, 50845, 51776, 50901, 51955, 51233, 50856, 50967, 51888, 50873, 54124, 54146, 50856, 50897, 53458, 51351, 50856, 51110, 50421, 77029, 50867, 53175, 51277, 52384, 51328, 51866, 51277, 52058, 51074, 50422, 52148, 51128, 51768, 51233, 50856, 51175, 50434, 51098, 78248, 54146, 50856, 50897, 77029, 66186, 57696, 55467, 50856, 51110, 53526, 50830, 57696, 79856, 51648, 50892, 50449, 51888, 50901, 51776, 50901, 52310, 50987, 51955, 51233, 50856, 50967, 60119, 50933, 50457, 60477, 51000, 54124, 54146, 50856, 74369, 77029, 51480, 55858, 51110, 50425, 52384, 51328, 53084, 51328, 51866, 51328, 52488, 51642, 51776, 50873, 53170, 50873, 52991, 51177, 51888, 50892, 51768, 51233, 50856, 51175, 50427, 51389, 51400, 53924, 54146, 50856, 50897, 77029, 54584, 50856, 51110, 60119, 62928, 60119, 65311, 53170, 50978, 52991, 50974, 51888, 51058, 52578, 59881, 51273, 51157, 50903, 51233, 50856, 50967, 52384, 51058, 52488, 51079, 53084, 50972, 52698, 50978, 54124, 54146, 50856, 64175, 60119, 78693, 57696, 53486, 53458, 51591, 50801, 50981, 51206, 50915, 50421, 51963, 51351, 51683, 51204, 51888, 51204, 50422, 52194, 51241, 53572, 51003, 51866, 51003, 51544, 50955, 55994, 50933, 55481, 55336, 50933, 53550, 67700, 50955, 51866, 50892, 53084, 50845, 52488, 50838, 51648, 51178, 51963, 51121, 52310, 51100, 55258, 62706, 62565, 51273, 60054, 56879, 50933, 56033, 50959, 50449, 58053, 67426, 51493, 64390, 62647, 51233, 50457, 56033, 51862, 50458, 51273, 57567, 55336, 71584, 57696, 51123, 53458, 51351, 50856, 51110, 51516, 50938, 50425, 51516, 50805, 51768, 51233, 50856, 51175, 57696, 50827, 52310, 50822, 51648, 50822, 51888, 50810, 51776, 50810, 53924, 54146, 50856, 50897, 57696, 57481, 51273, 51351, 50856, 51110, 57696, 51254, 51516, 77534, 57696, 50978, 51955, 51233, 50856, 50967, 53175, 50987, 52384, 50978, 51866, 51058, 52058, 51376, 51516, 50937, 54124, 54146, 50856, 50897, 55858, 51110, 50416, 51098, 51267, 50422, 77029, 51391, 52461, 51073, 50424, 52310, 50866, 51648, 50978, 51888, 50977, 51776, 50987, 51768, 51233, 50856, 51175, 50434, 51098, 78470, 54146, 50856, 50897, 50436, 52461, 50942, 50437, 53175, 51101, 51866, 50901, 52384, 50849, 52058, 56298, 50856, 51110, 57696, 50959, 50439, 51516, 50937, 51955, 51233, 50856, 50967, 51516, 51162, 50451, 57696, 51330, 54124, 54146, 50856, 50897, 55858, 51110, 51578, 50942, 50415, 51216, 51295, 60119, 51051, 50425, 60119, 51008, 51768, 51233, 50856, 51175, 51683, 50892, 52002, 50873, 51888, 50873, 52578, 50901, 51578, 50937, 53924, 54146, 50856, 50897, 50437, 51578, 54014, 51273, 51218, 50856, 51110, 60119, 50827, 51955, 51233, 50856, 50967, 60119, 50941, 52194, 50905, 52698, 50892, 52488, 50838, 52148, 51006, 51578, 50937, 54124, 54146, 50856, 50897, 55858, 51110, 50415, 75113, 50422, 77029, 50933, 51888, 51391, 52310, 51381, 51776, 51419, 51648, 51542, 52461, 51141, 51768, 51233, 50856, 51175, 50434, 51098, 51358, 50804, 54146, 50856, 50897, 77029, 51058, 56797, 51110, 57696, 50959, 53175, 50892, 52384, 50866, 51866, 50838, 52058, 51174, 51516, 77657, 56033, 51174, 50446, 51275, 50987, 50449, 58053, 50905, 51955, 51233, 50856, 50967, 51489, 51110, 54124, 54146, 50856, 74369, 57696, 50933, 51516, 50873, 53458, 51417, 50856, 51110, 50425, 57696, 50933, 53175, 50987, 51866, 50866, 52058, 51006, 52384, 50987, 51516, 51121, 51768, 51233, 50856, 51175, 53924, 54146, 50856, 50897, 50437, 57696, 50933, 51516, 51101, 56797, 51110, 50439, 51273, 51189, 50449, 57696, 51006, 51516, 50937, 51955, 51233, 50856, 50967 ]
[ 0, 250, 19448, 8, 3722, 15855, 5175, 2125, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 2285, 63, 765, 13428, 6, 5, 2214, 10200, 7, 35334, 10, 1472, 9, 11098, 8, 74, 28, 157, 12, 9228, 4560, 13, 304, 11, 10, 822, 4, 20, 20889, 16, 10, 23667, 27841, 3006, 11332, 6, 8, 5, 33215, 16739, 1171, 83, 6, 211, 6, 272, 6, 230, 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 ]	[ 50799, 50649, 52326, 50932, 55386, 56300, 50427, 51465, 52378, 50438, 51249, 58369, 52109, 51534, 50460, 51818, 51679, 60212, 52109, 51480, 50436, 51651, 50915, 50446, 52109, 50932, 50459, 54310, 51226, 51818, 51108, 57731, 52109, 51709, 50435, 51818, 51753, 56461, 51573, 50447, 51457, 51961, 50458, 51719, 51313, 50459, 56461, 51274, 60212, 51249, 51679, 50435, 54310, 51896, 51457, 51330, 50447, 52948, 51108, 50460, 51457, 51753, 60212, 55386, 51157, 50430, 51672, 57070, 50437, 52571, 51318, 54310, 53363, 50450, 51719, 51709, 50461, 51672, 51309, 55746, 51457, 51576, 50436, 52948, 75999, 51457, 56697, 54310, 51121, 50799, 54310, 56300, 50415, 51465, 51419, 50426, 51672, 51645, 50439, 51818, 58959, 51672, 50932, 50799, 51818, 51534, 50424, 51672, 50932, 50437, 51410, 51417, 50447, 51672, 51277, 50459, 51457, 51108, 56461, 51158, 56020, 51672, 51277, 50434, 59969, 51345, 50436, 51249, 62565, 51249, 51079, 50458, 52326, 51115, 59969, 51364, 57731, 51465, 51797, 50433, 51249, 51277, 56461, 51538, 50446, 52109, 51484, 50459, 51818, 51961, 57731, 52109, 51381, 50424, 54310, 51215, 50436, 54310, 54014, 51231, 51803, 56461, 51264, 50450, 52109, 51484, 51601, 51818, 51679, 50426, 52109, 51412, 50439, 51231, 66809, 56461, 51110, 50452, 51410, 51309, 50460, 56461, 51101, 50461, 53655, 51241, 51809, 59969, 51591, 50428, 51410, 51079, 50439, 51410, 55247, 51249, 77197, 59969, 51472, 50799, 51457, 50838, 50424, 51231, 80249, 52690, 67082, 53927, 51945, 50450, 51410, 51642, 50461, 51231, 51481, 60212, 51672, 51423, 50436, 51457, 51309, 50437, 53927, 51103, 50448, 51249, 79076, 51476, 51134, 57494, 51933, 60212, 51231, 51337, 50436, 51327, 51277, 50447, 51818, 70395, 51981, 51277, 50461, 57494, 51285, 60212, 51457, 62551, 53171, 52392, 53075, 50915, 50449, 51476, 67163, 51303, 50974, 59412, 51249, 51481, 50437, 51327, 50905, 53171, 51103, 50449, 51410, 51412, 50799, 54369, 51218, 64746, 51933, 50427, 52571, 51534, 50440, 51465, 51254, 50451, 51651, 51253, 50799, 51672, 51534, 50415, 64746, 51294, 50426, 51818, 51642, 50438, 51465, 51662, 64746, 51460, 50449, 51651, 51074, 50460, 51672, 51333, 51601, 50655, 50339, 51364, 50426, 51818, 51174, 50439, 51249, 51006, 50449, 67686, 51101, 50460, 67686, 51178, 50461, 52326, 51391, 51809, 64746, 54153, 50427, 51465, 51852, 50438, 51249, 51481, 50449, 52109, 51775, 50461, 51818, 51484, 60212, 51672, 51412, 50436, 51249, 51097, 50446, 51672, 51097, 50458, 52109, 51097, 56020, 51818, 51172, 50437, 51249, 51142, 50799, 50655, 50341, 56300, 51249, 50932, 50427, 51818, 52378, 50438, 52287, 58369, 55386, 51775, 50460, 56461, 51679, 60212, 55386, 51480, 50436, 53001, 50915, 50446, 55386, 50932, 50459, 50655, 50342, 51226, 56461, 51108, 57731, 55386, 51709, 50435, 56461, 51753, 50655, 50344, 51573, 50447, 54310, 51961, 50458, 52948, 51313, 50459, 50655, 50344, 51274, 60212, 52287, 51679, 50435, 50655, 50342, 51896, 54310, 51330, 50447, 59969, 51108, 50460, 54310, 51753, 60212, 50655, 50341, 51157, 50430, 53927, 57070, 50437, 51672, 51318, 50655, 50342, 53363, 50450, 52948, 51709, 50461, 53927, 51309, 55746, 54310, 51576, 50436, 59969, 75999, 54310, 56697, 50655, 50342, 51121, 50799, 50655, 50342, 56300, 50415, 51818, 51419, 50426, 53927, 51645, 50439, 56461, 58959, 53927, 50932, 50799, 56461, 51534, 50424, 53927, 50932, 50437, 51457, 51417, 50447, 53927, 51277, 50459, 50655, 50344, 51158, 54310, 51709, 56020, 53927, 51277, 50434, 50655, 50346, 51345, 50436, 52287, 62565, 52287, 51079, 50458, 51249, 51115, 50655, 50346, 51364, 57731, 51818, 51797, 50433, 52287, 51277, 50655, 50344, 51538, 50446, 55386, 51484, 50459, 56461, 51961, 57731, 55386, 51381, 50424, 50655, 50342, 51215, 50436, 50655, 50342, 54014, 51981, 51803, 50655, 50344, 51264, 50450, 55386, 51484, 51601, 56461, 51679, 50426, 55386, 51412, 50439, 51981, 66809, 50655, 50344, 51110, 50452, 51457, 51309, 50460, 50655, 50344, 51101, 50461, 51410, 51241, 51809, 50655, 50346, 51591, 50428, 51457, 51079, 50439, 51457, 55247, 52287, 77197, 50655, 50346, 51472, 50799, 54310, 50838, 50424, 51981, 80249, 51231, 67082, 50655, 50339, 51945, 50450, 51457, 51642, 50461, 51981, 51481, 60212, 53927, 51423, 50436, 54310, 51309, 50437, 50655, 50339, 51103, 50448, 52287, 79076, 51327, 51134, 50655, 50347, 51933, 60212, 51981, 51242, 50436, 53171, 51277, 50447, 56461, 70395, 57494, 51277, 50461, 50655, 50347, 51285, 60212, 54310, 62551, 75693, 52392, 51303, 51134, 50449, 51327, 67163, 51825, 50974, 59412, 52287, 51481, 50437, 53171, 50905, 75693, 51103, 50449, 51457, 51412, 67718, 51218, 50655, 50349, 51933, 50427, 51672, 51534, 50440, 51818, 51254, 50451, 53001, 51253, 50799, 53927, 51534, 50415, 50655, 50349, 51294, 50426, 56461, 51642, 50438, 51818, 51662, 50655, 50349, 51460, 50449, 53001, 51074, 50460, 53927, 51333, 51601, 50655, 50351, 51364, 50426, 56461, 51174, 50439, 52287, 51006, 50449, 50655, 50348, 51101, 50460, 50655, 50348, 51178, 50461, 51249, 51391, 51809, 50655, 50349, 54153, 50427, 51818, 51852, 50438, 52287, 50972, 50449, 55386, 51534, 50461, 56461, 51484, 60212, 53927, 51412, 50436, 52287, 51097, 50458, 56461, 51097, 50796, 50437, 64746, 51142, 50448, 54310, 52256, 50799, 51457, 55844, 64746, 52821, 50425, 52948, 52056, 50438, 52287, 56615, 50449, 52948, 52441, 50799, 52287, 52263, 50425, 52948, 52056, 50436, 52109, 53233, 67686, 51803, 50447, 52948, 51961, 50460, 64746, 51717, 50461, 52287, 51806, 57731, 52948, 51333, 50436, 52287, 53280, 50448, 52948, 51961, 50449, 56461, 51542, 50460, 51672, 53487, 50461, 54310, 51717, 59412, 52948, 65184, 52287, 53697, 50448, 52948, 51330, 50799, 52287, 51466, 50424, 52948, 51679, 50436, 51249, 51293, 50448, 52948, 51806, 50461, 52287, 52996, 57731, 52948, 52441, 50437, 52287, 51376, 50448, 54310, 52256, 50460, 50655, 50339, 52644, 50461, 51818, 55844, 60212, 53001, 51466, 50437, 53927, 52011, 50448, 53001, 52056, 50460, 53927, 51703, 60212, 53001, 51961, 50435, 64746, 51452, 50436, 51457, 54249, 50448, 53001, 52378, 50459, 50655, 50339, 52096, 53927, 51333, 60212, 53001, 51466, 50437, 53927, 51447, 50448, 59969, 67647, 53001, 51466, 50460, 56461, 51717, 52109, 53233, 55746, 53001, 65461, 53927, 52996, 50448, 53001, 51333, 50460, 53927, 51961, 60212, 53001, 51961, 50436, 51672, 52151, 50448, 53001, 52378, 50459, 53927, 52048, 60212, 53001, 51466, 50436, 56461, 52431, 50449, 51818, 50827, 50799, 50655, 50342, 51452, 51410, 69790, 51249, 52188, 50438, 50655, 50341, 51803, 50440, 51457, 51737, 50449, 52948, 52056, 50799, 52287, 59386, 56461, 50932, 50437, 50655, 50341, 51675, 50439, 51465, 52256, 50449, 51672, 51645, 50461, 51818, 51862, 50655, 50339, 51742, 59412, 53001, 51738, 50437, 53927, 66823, 56461, 51645, 50460, 51719, 51108, 50655, 50339, 51452, 57731, 52948, 51484, 50436, 64746, 51148, 50437, 52287, 50838, 50448, 55386, 51051, 50461, 52287, 51051, 59412, 54310, 51852, 50436, 64746, 60610, 51651, 78252, 51818, 51693, 50460, 67686, 51803, 50461, 53001, 51074, 50796, 50436, 53927, 54043, 55386, 51006, 50460, 51249, 51679, 67686, 51127, 55746, 51818, 54071, 50436, 59969, 51318, 50437, 52287, 52179, 50461, 53927, 50932, 55746, 52948, 51470, 50435, 59969, 51452, 50436, 51672, 51243, 50448, 52948, 52188, 50460, 56461 ]
[ 0, 713, 5679, 26709, 5175, 25771, 2214, 11, 274, 538, 1575, 10, 11739, 9, 3459, 8, 21979, 29589, 6, 38668, 22052, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 4, 590, 10, 23758, 3938, 20889, 9, 11061, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 8, 230, 6, 7630, 14805, 10, 1472, 9, 36474, 13005, 8, 23975, 1825, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57333, 50416, 52233, 53588, 51821, 51748, 60212, 52956, 66142, 52956, 65312, 52956, 53660, 52021, 51362, 51164, 51191, 50436, 51037, 50878, 76323, 50872, 51235, 64804, 51821, 52136, 52016, 52136, 52072, 52136, 50438, 64724, 52136, 50447, 63818, 50454, 66939, 51037, 58392, 50833, 66243, 52956, 54112, 51037, 51227, 50979, 55278, 51090, 52606, 52528, 51821, 52528, 50436, 51678, 52528, 54064, 52528, 50438, 52956, 64127, 51037, 50878, 50448, 52956, 58639, 51037, 50878, 78134, 52021, 52136, 50454, 52956, 54093, 51037, 51008, 51809, 52956, 50940, 50417, 58617, 50422, 50988, 55054, 51037, 50897, 50979, 53275, 50345, 57544, 51037, 64408, 52956, 55098, 51037, 51124, 50872, 51412, 50848, 50807, 52021, 51714, 51164, 51605, 51821, 52528, 52016, 52528, 52072, 52528, 50447, 51037, 51297, 50454, 50939, 51074, 50460, 50848, 51129, 52177, 61058, 50872, 78443, 55972, 50424, 51037, 52835, 50430, 52956, 55782, 51037, 51066, 50979, 68941, 51054, 52021, 51091, 50988, 51059, 50436, 54064, 51748, 52606, 51748, 51821, 51748, 51678, 51748, 52956, 78668, 52956, 50942, 50448, 51037, 70185, 52956, 62355, 51037, 51142, 50461, 52956, 50795, 52177, 51037, 52167, 75814, 50423, 51037, 50959, 50979, 67895, 52956, 55658, 51037, 58528, 52956, 56529, 50872, 52536, 51164, 51795, 50847, 52536, 50436, 52233, 58728, 55825, 52720, 51821, 58728, 51678, 58728, 50438, 50885, 51352, 51601, 52956, 65290, 52956, 50907, 50428, 52956, 56149, 52956, 51158, 50453, 52956, 51160, 56020, 52956, 50858, 50428, 52956, 54154, 50979, 53478, 50885, 52644, 50435, 50847, 55362, 50939, 52442, 53845, 53413, 51164, 53849, 50436, 55825, 55392, 52233, 55392, 52606, 55392, 51821, 55392, 52072, 55392, 52398, 65672, 51678, 56515, 52591, 52956, 65001, 52956, 54334, 52956, 70988, 52956, 58631, 52956, 68451, 52956, 50858, 55753, 52956, 64784, 51164, 53383, 50988, 55658, 51037, 55544, 52956, 50952, 50436, 51037, 50993, 51164, 72701, 77732, 51054, 52021, 53241, 52072, 52056, 52016, 52056, 51821, 52056, 50447, 51037, 71820, 50979, 51090, 51037, 51362, 50988, 51661, 52606, 52598, 51821, 52598, 51678, 52136, 54064, 52136, 52478, 50872, 51797, 50424, 50979, 51101, 50429, 51037, 64945, 51037, 53280, 51821, 53588, 50436, 52021, 51637, 51164, 51283, 50848, 51477, 50872, 53280, 54064, 53588, 52016, 53588, 55746, 52956, 54221, 52956, 70709, 51037, 51227, 62197, 50872, 51016, 52021, 51761, 51164, 51343, 50436, 52016, 52528, 51821, 52528, 64724, 53588, 52072, 52528, 52956, 61868, 50939, 51933, 51007, 51933, 50447, 51037, 51022, 50453, 51037, 50857, 55315, 57731, 68689, 70331, 62457, 50429, 51037, 66142, 52956, 51365, 50435, 51037, 50991, 50979, 51159, 73360, 52021, 51941, 50988, 51352, 52956, 51210, 50436, 50847, 51933, 51821, 51748, 52606, 53588, 51678, 51748, 54064, 53588, 50442, 52956, 50933, 50443, 51298, 51896, 50447, 51037, 79519, 50847, 60111, 52956, 67238, 51037, 51210, 52177, 50939, 54381, 52956, 51210, 50429, 52956, 66804, 50848, 51054, 50872, 78335, 51059, 52021, 52536, 51164, 53241, 54064, 52256, 52016, 52256, 51821, 52136, 50436, 64724, 58728, 50437, 55825, 51748, 50442, 50848, 51933, 50447, 50939, 51896, 50453, 51037, 51550, 50872, 57588, 51472, 50459, 76527, 50460, 52016, 52256, 52177, 50848, 59274, 51345, 50423, 51037, 66031, 52072, 67393, 52956, 55167, 51037, 51427, 50979, 77732, 51090, 52021, 52369, 50988, 51161, 50436, 52606, 52528, 51821, 52528, 51678, 52528, 54064, 52528, 52956, 58666, 52956, 54043, 51037, 52482, 52956, 51210, 50453, 50939, 51033, 50454, 52956, 50959, 52177, 50979, 56909, 51037, 50813, 52956, 50933, 50424, 54064, 59272, 52956, 74234, 50885, 51573, 50872, 71267, 51745, 76878, 50946, 51573, 51164, 52369, 50850, 54454, 52233, 53588, 55825, 52720, 51821, 52980, 51678, 52980, 51701, 52980, 50442, 51257, 54454, 50454, 62092, 50872, 51753, 70249, 50459, 50909, 52392, 52177, 51821, 52136, 50423, 51678, 52980, 50424, 52956, 55730, 52233, 52980, 50430, 50979, 58734, 52956, 55167, 51821, 52598, 51701, 52598, 50436, 50885, 52256, 50979, 51419, 50847, 51542, 50939, 52256, 51164, 51422, 50437, 52956, 70532, 52956, 61481, 52956, 80026, 51821, 52256, 52233, 51998, 52177, 50939, 51013, 52233, 52034, 50418, 50885, 50830, 50424, 52956, 55658, 50979, 59545, 52956, 62135, 51332, 60077, 50872, 52392, 50457, 50885, 50971, 52591, 50885, 51128, 50425, 52956, 58812, 52956, 59321, 52956, 76183, 51678, 52980, 55825, 51490, 52233, 52980, 51701, 52980, 51821, 52980, 52606, 52980, 58463, 65397, 52956, 54319, 51164, 51446, 52956, 50800, 59560, 52179, 57783, 50937, 77548, 50847, 55541, 58326, 50885, 54071, 50979, 51058, 50427, 52956, 52359, 50885, 51609, 50345, 51724, 51037, 69602, 57513, 77732, 51237, 51164, 51745, 52021, 51761, 50939, 51896, 51007, 51896, 64724, 55392, 51821, 51490, 52072, 51490, 52016, 51490, 50450, 51037, 52462, 50456, 73190, 57884, 52591, 69779, 50424, 50935, 53150, 50979, 50810, 51298, 50952, 51037, 50937, 50988, 50976, 50872, 51481, 52021, 53161, 51821, 52528, 54064, 52528, 52606, 52056, 50432, 50979, 50959, 51007, 51655, 50438, 52021, 51358, 51164, 52282, 51037, 51939, 50848, 52266, 50872, 52392, 50939, 52392, 52016, 51490, 52591, 52956, 53950, 52956, 52359, 52956, 60364, 51037, 51932, 51751, 51072, 50979, 51072, 50872, 51290, 50847, 51735, 51678, 58728, 54064, 58728, 52606, 58728, 51821, 58728, 50444, 50847, 51896, 50450, 51298, 51336, 50456, 69779, 51751, 52347, 50307, 52347, 50299, 51060, 75813, 50939, 51472, 52591, 51037, 55124, 50979, 50863, 51037, 52386, 50345, 54215, 52956, 52781, 50988, 51413, 51751, 52598, 50979, 51486, 50872, 51677, 50939, 51486, 50439, 52956, 52597, 51037, 51345, 50450, 50979, 51336, 50451, 52956, 54199, 50872, 51364, 50457, 52956, 50821, 69341, 52956, 62886, 52956, 51724, 50872, 51362, 50939, 51191, 50848, 51541, 50848, 51933, 50939, 51933, 52021, 51605, 51164, 53241, 51821, 58728, 52072, 58728, 52016, 58728, 50456, 55688, 50872, 51364, 51601, 51037, 63069, 58082, 73274, 50872, 51627, 52956, 53974, 50848, 54211, 52956, 54431, 50939, 51884, 52021, 58483, 52956, 54596, 52956, 52643, 52956, 50858, 59412, 52956, 52749, 52956, 54362, 50946, 51237, 51164, 56073, 52606, 51748, 51821, 51748, 52233, 51748, 51701, 51748, 50439, 50885, 51354, 79275, 50847, 62568, 50885, 55346, 78334, 79274, 53069, 50847, 55777, 52956, 53906, 50847, 51013, 50427, 52956, 53911, 52956, 62884, 52956, 57322, 52956, 58974, 50946, 51472, 50457, 51701, 52256, 52956, 50858, 59560, 71727, 52956, 54372, 52956, 68484, 50848, 51603, 50872, 51237, 50939, 51573, 51164, 51407, 50848, 51896, 52021, 52282, 52072, 53588, 64724, 58728, 52016, 53588, 51821, 53588, 50445, 50848, 51269, 50451, 50872, 51022, 55753, 66939, 50885, 51013, 50433, 50848, 51550, 50992, 50907, 51037, 51933, 50455, 52021, 51381, 50456, 51821, 52256, 52016, 52256, 50457, 52398, 52256, 51716, 52256, 62870, 70589, 52956, 65054, 50848, 54654, 52956, 54154, 52956, 57476, 51037, 51653, 50979, 50993, 50847, 51427, 50872, 51377, 50988, 51541, 51751, 51961, 54064, 58728, 52606, 58728, 51821, 58728, 51678, 58728, 50445, 73190, 51037, 51472, 50451, 67984, 51037, 51051, 68346, 50979, 51294, 50872, 51294, 52591, 52956, 52422, 52956, 52749, 52956, 51045, 50433, 51751, 52598, 50439, 50979, 51238, 50444, 52956, 64681, 50939, 51294, 50450, 50988, 51008 ]
[ 0, 250, 32076, 8, 14899, 3495, 2214, 14, 22750, 1626, 10, 670, 1619, 16464, 6, 4246, 10, 20902, 13305, 33301, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 42, 2214, 11, 5, 762, 9, 230, 538, 16, 686, 7, 5258, 110, 11656, 8, 120, 47, 88, 5, 2317, 6711, 4, 20, 1049, 33215, 16739, 9, 230, 6, 1918, 6, 3676, 6, 8, 1918, 3639, 7, 5, 2214, 18, 33928, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 64680, 51500, 51578, 71051, 51196, 50871, 51356, 51303, 51961, 51249, 51679, 51327, 52256, 51976, 61531, 59249, 51132, 51241, 68072, 51708, 51227, 51578, 77463, 55168, 50427, 53075, 63712, 50432, 57870, 50433, 51303, 51174, 51249, 51283, 51327, 51965, 51132, 52781, 51280, 51932, 51837, 50980, 50956, 51196, 50877, 51336, 55159, 50439, 51132, 51535, 50444, 51303, 51269, 57491, 51280, 51500, 51837, 51227, 51303, 51079, 56862, 52863, 51249, 50978, 57870, 65364, 50980, 51948, 75340, 63656, 51196, 51303, 52034, 51249, 51318, 51327, 51627, 51132, 52256, 55159, 68072, 51706, 50980, 51948, 50980, 56862, 52658, 51303, 50863, 51132, 55503, 70015, 51708, 51112, 51578, 51500, 50916, 68900, 51196, 51132, 51351, 55159, 50439, 51327, 51134, 51303, 51194, 51180, 62077, 51476, 51961, 50450, 52477, 51603, 52381, 51500, 51303, 51806, 56862, 52863, 51249, 50925, 51132, 53345, 51373, 54846, 51327, 50840, 60603, 51500, 51837, 51500, 50871, 51336, 50877, 51336, 51132, 51003, 55159, 50415, 51825, 51592, 51249, 52168, 51327, 51939, 51303, 51447, 68072, 51280, 51500, 51837, 51227, 56862, 52658, 51132, 54036, 56619, 50433, 53075, 56004, 50438, 51144, 51932, 52709, 51500, 50877, 68900, 51196, 51132, 51419, 55159, 63047, 50445, 51303, 75589, 51144, 51227, 52709, 51227, 50903, 55168, 50451, 51249, 51199, 50456, 51132, 54390, 56619, 50457, 51327, 51314, 70781, 51345, 55165, 51112, 50906, 51196, 50902, 51196, 51825, 51749, 51303, 52256, 51132, 50932, 55159, 50415, 51249, 51283, 68072, 51119, 51227, 55165, 50980, 56862, 52658, 51303, 50995, 57870, 50433, 51132, 52742, 51708, 51345, 51578, 51500, 50916, 51196, 50876, 51196, 51132, 51542, 55159, 50439, 51825, 51116, 54141, 54672, 51303, 67647, 51869, 50980, 51516, 51932, 50804, 57465, 51825, 50978, 50453, 51327, 65628, 51132, 53097, 53119, 74717, 51249, 50878, 52198, 50812, 59649, 51685, 51435, 51358, 51476, 51047, 51303, 51047, 51249, 51047, 51132, 51419, 51976, 61531, 64540, 52921, 51027, 53751, 50304, 51054, 56862, 52658, 51132, 53877, 70015, 51476, 50915, 51303, 50915, 51249, 50915, 51132, 51003, 55159, 51180, 53140, 51869, 50980, 51516, 50980, 50997, 52530, 50308, 51090, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 57870, 64680, 50980, 51578, 51603, 50900, 51196, 50871, 51336, 51476, 51423, 51303, 51423, 51249, 51423, 51132, 51419, 51976, 52871, 53075, 50915, 56889, 51280, 51112, 51837, 50980, 51476, 51101, 51303, 51101, 51249, 51101, 56862, 52658, 51132, 53877, 70015, 51198, 50980, 52353, 51932, 50871, 74114, 51196, 51410, 51423, 51303, 51423, 51249, 51423, 51181, 51419, 59159, 53655, 50915, 57491, 51144, 51603, 52709, 50980, 51410, 51101, 51303, 51101, 51249, 51101, 56862, 52863, 51181, 53877, 56619, 65100, 51685, 52778, 51977, 51476, 51742, 51465, 51742, 51249, 51742, 55159, 50415, 51349, 50932, 68072, 50877, 69797, 51090, 56862, 52658, 51349, 55642, 56619, 54585, 51134, 59159, 52326, 51101, 57491, 51280, 50980, 51837, 50980, 50916, 70866, 50896, 51476, 51233, 51465, 51233, 51249, 51233, 56862, 52863, 57870, 50457, 51349, 50855, 64680, 51161, 51578, 51585, 50871, 51469, 50877, 51655, 51410, 51742, 51303, 51742, 51249, 51742, 55159, 50415, 51181, 50932, 56911, 76663, 51181, 55642, 56619, 51556, 53269, 51181, 51134, 59159, 53655, 51101, 57491, 51410, 51233, 51303, 51233, 51249, 51233, 56862, 52863, 57870, 50457, 51181, 50855, 61310, 50980, 52353, 51603, 50871, 51196, 50877, 51196, 53075, 56235, 51825, 51480, 51249, 51199, 51327, 51411, 51132, 51381, 55159, 50415, 51303, 52460, 50420, 51476, 51637, 56889, 51280, 50980, 51837, 51932, 50903, 55168, 50427, 51303, 51381, 50432, 51249, 51412, 51327, 51412, 51132, 53971, 70015, 51708, 50980, 51578, 51112, 50900, 51196, 51132, 51318, 59159, 51476, 51218, 57491, 51876, 51932, 51435, 50980, 51303, 51749, 56862, 52863, 51338, 53095, 56619, 50457, 51327, 52151, 51249, 51627, 51825, 51080, 50459, 51181, 50844, 61310, 50980, 52353, 51346, 50871, 51196, 50877, 51336, 51132, 51419, 51976, 52871, 51476, 51518, 56889, 51280, 51500, 51837, 50980, 51303, 51381, 56862, 52658, 51249, 51310, 51132, 53309, 56619, 51556, 53269, 51708, 51112, 51578, 51932, 50900, 51356, 51825, 50915, 51132, 50915, 59159, 51303, 51709, 57491, 51876, 51346, 51435, 51932, 51249, 51058, 56862, 52863, 51132, 53877, 51373, 54846, 50852, 50810, 69935, 55198, 51489, 52045, 50916, 52017, 52303, 51283, 51465, 51939, 51231, 51939, 51327, 51939, 55159, 50415, 51416, 51241, 56911, 76663, 53248, 55116, 57870, 50433, 51416, 50813, 51658, 55701, 50439, 51416, 51535, 51180, 53140, 52303, 51221, 50903, 55168, 50453, 51465, 52783, 50456, 51231, 51145, 52636, 54846, 51327, 51103, 57126, 65481, 50806, 52303, 51419, 51416, 52256, 51976, 52871, 50861, 52362, 50314, 50911, 51892, 56040, 64935, 50923, 56862, 52658, 50916, 64464, 51274, 52303, 51267, 51416, 55503, 70015, 51465, 50932, 51231, 51253, 51327, 51480, 51416, 51351, 59159, 52506, 55118, 52303, 51423, 50450, 51706, 51345, 51948, 75037, 51054, 51327, 57978, 51582, 56366, 51231, 60077, 51465, 50822, 51416, 53345, 53119, 54984, 54421, 52303, 50822, 64680, 50980, 51578, 51500, 50900, 53177, 50308, 60599, 50824, 51465, 51047, 51231, 51047, 51414, 51047, 51327, 51047, 51416, 51351, 51976, 61531, 64540, 52921, 51869, 50980, 51516, 50980, 50997, 53751, 50308, 67957, 51016, 56862, 52658, 51416, 53530, 70015, 51869, 50980, 51516, 50980, 50997, 53177, 50308, 62667, 50896, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 55159, 51180, 53140, 53483, 51345, 52070, 50980, 51027, 60821, 51958, 50310, 51013, 51687, 50915, 51719, 50915, 51249, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 57870, 65237, 51977, 51516, 52827, 51465, 51047, 51231, 51047, 51414, 51047, 51327, 51047, 51416, 51419, 55159, 68072, 50899, 50795, 56862, 52658, 50871, 50879, 51416, 53877, 70015, 50916, 51090, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 59159, 52636, 53140, 51198, 50936, 52353, 53275, 50308, 51958, 50310, 50807, 51465, 50915, 51651, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 51198, 51362, 52353, 51226, 57870, 76362, 54578, 51527, 50877, 51356, 51476, 51423, 51303, 51423, 51249, 51423, 51132, 51351, 51976, 52871, 53075, 50915, 56889, 51280, 51500, 51837, 51112, 51476, 51101, 51303, 51101, 51249, 51101, 56862, 52658, 51132, 53530, 70015, 52040, 51112, 52461, 51227, 50871, 51196, 50965, 51527, 51410, 51535, 51303, 51535, 51651, 51535, 51672, 51535, 51132, 51419, 55159, 51180, 53140, 51198, 51345, 52353, 50980, 56862, 52863, 51651, 50874, 51132, 53877, 51373, 54846, 51672, 50822, 60603, 51551, 51837, 51356, 51476, 51295, 51303, 51295, 51249, 51295, 51132, 51318, 55159, 68072, 50916, 78828, 51237, 56862, 52658, 53075, 51680, 51132, 53959, 70015, 50899, 53177, 50309, 51237, 51303, 51244, 51132, 53933, 51049, 52597, 51249, 51477, 51132, 51194, 57491, 51708, 51603, 51578, 51500, 50900, 64110, 50896, 51327, 51400, 56862, 52863, 51825, 51174, 51132, 53530, 56619, 65237, 50980, 51516, 50980, 51086, 64110, 67957, 51013, 51303, 51535, 51231, 51535, 51672, 51535, 51457, 51535, 51137, 51351, 55159, 68072, 51708, 50980, 51578, 51227 ]
[ 0, 250, 15855, 8, 25771, 2214, 14, 7630, 6568, 41, 9066, 8, 25306, 5466, 150, 67, 145, 19448, 8, 5679, 26709, 4, 85, 1575, 41, 21979, 8669, 6, 3152, 6757, 6, 36075, 8669, 6, 6168, 3540, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 5, 2216, 2369, 18795, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 132, 73, 398, 86, 6543, 8, 10, 182, 1769, 20889, 9, 25728, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67004, 50426, 51171, 51305, 50294, 50845, 69958, 55017, 52121, 52949, 52121, 51914, 52121, 51859, 52121, 51181, 76274, 50915, 51335, 51151, 50432, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 51219, 54644, 50872, 55808, 50845, 51344, 53172, 51171, 51305, 50294, 50845, 69958, 51181, 76274, 56901, 57173, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 64671, 51288, 57933, 50872, 55808, 50845, 51344, 54035, 56015, 53172, 51171, 51305, 50294, 50845, 69958, 51622, 53295, 51181, 76274, 59098, 57173, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 64671, 52341, 57933, 50872, 55808, 50845, 51344, 53172, 51171, 51305, 50294, 50845, 52874, 51717, 50432, 67034, 50946, 60871, 60871, 64986, 64986, 50915, 63639, 72498, 55017, 50892, 52949, 50892, 51914, 50892, 51859, 50892, 51181, 54035, 59098, 64632, 51171, 51305, 50294, 53562, 51332, 50915, 51332, 50915, 69433, 69433, 58285, 58285, 65107, 65107, 67249, 64671, 56170, 50892, 55209, 50892, 53455, 50892, 52301, 50892, 51953, 50892, 51338, 54035, 59098, 51115, 57732, 51305, 50292, 54644, 52021, 50915, 52021, 50915, 51348, 51717, 51075, 51717, 56452, 52121, 54609, 52121, 53503, 52121, 51914, 52121, 51727, 76274, 51115, 50852, 57173, 51164, 77594, 52839, 53264, 51037, 67703, 52839, 53999, 50848, 55257, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 52839, 54644, 51037, 67703, 52839, 53172, 52021, 51305, 50290, 54035, 56901, 53387, 51164, 77594, 52839, 53264, 51037, 67703, 52839, 53999, 50848, 55257, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 52839, 54644, 51037, 67703, 52839, 53172, 52021, 51305, 50290, 72550, 54523, 56901, 53387, 51164, 77594, 67994, 53417, 53264, 51037, 67703, 63253, 53417, 53999, 50848, 55257, 56990, 53417, 53562, 50850, 54879, 63253, 54523, 56901, 53586, 50868, 55077, 56990, 53417, 50845, 57342, 55257, 58338, 53417, 54644, 51037, 67703, 54879, 53417, 53172, 52021, 51305, 50290, 58338, 54523, 56901, 53387, 51164, 77594, 54879, 53417, 53264, 51037, 67703, 54667, 53417, 53999, 50848, 55257, 54879, 53417, 53562, 50847, 56263, 54879, 54035, 56901, 53586, 50868, 55077, 55808, 53417, 50845, 57342, 55257, 55257, 53543, 52839, 54644, 50946, 65088, 67703, 54371, 52839, 53172, 51171, 51305, 50294, 55077, 51364, 55017, 52121, 52949, 52121, 51914, 52121, 51859, 52121, 51181, 76274, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50848, 57122, 55077, 52839, 53562, 50850, 54879, 55257, 51896, 50798, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 56901, 54644, 50946, 59324, 52839, 53172, 51171, 51305, 50294, 54035, 56901, 53387, 50946, 59324, 59324, 53417, 53264, 50848, 55257, 55257, 53543, 56901, 53999, 50868, 55077, 55077, 53417, 53562, 50872, 56263, 54879, 54035, 56901, 53586, 50868, 55077, 54879, 53417, 50845, 57342, 55257, 54667, 53543, 56901, 54644, 50946, 59324, 55808, 53417, 53172, 51171, 51305, 50294, 54667, 51364, 51181, 76274, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50868, 55077, 55808, 53417, 53562, 50850, 54879, 55808, 67777, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 56901, 54644, 50946, 59324, 55077, 53417, 53172, 51171, 51305, 50294, 55077, 51655, 50798, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50868, 55077, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 52839, 54644, 50946, 59324, 54371, 51373, 50845, 53327, 52654, 56496, 50918, 50848, 51305, 50294, 51047, 55017, 51145, 52949, 51145, 51914, 51145, 51859, 51145, 51181, 60881, 56901, 53387, 50946, 55808, 52839, 53264, 50848, 54879, 54371, 56901, 53999, 50872, 55808, 52839, 53562, 54650, 77560, 64694, 51047, 55209, 51145, 53455, 51145, 52301, 51145, 51953, 51145, 51374, 60881, 56901, 53586, 50988, 54667, 62852, 59560, 56990, 56951, 56901, 54644, 50847, 52839, 53172, 54019, 50918, 50872, 77594, 51151, 54609, 51293, 52949, 51293, 52301, 51293, 51859, 51293, 51132, 60922, 56901, 53387, 50946, 54879, 52839, 53264, 50885, 56990, 70187, 56901, 53999, 50872, 52839, 53562, 54650, 62641, 54035, 56901, 53586, 76068, 62852, 50799, 56496, 57680, 55808, 54371, 56901, 54644, 50946, 56566, 52839, 53172, 54650, 50918, 50885, 51305, 50292, 51047, 56170, 51293, 53455, 51293, 52301, 51293, 51953, 51293, 51338, 60881, 56901, 53387, 50885, 55077, 52839, 53264, 50868, 56990, 54371, 56901, 53999, 50885, 55077, 52839, 53562, 60856, 50918, 51042, 51305, 50291, 51047, 51857, 60881, 56901, 53586, 50885, 55077, 62852, 59007, 56990, 54371, 56901, 54644, 50885, 55077, 52839, 53172, 62292, 50918, 50946, 51305, 50289, 51151, 57523, 51293, 52949, 51293, 52301, 51293, 51953, 51293, 51844, 71382, 56901, 53387, 50885, 56566, 52839, 53264, 50868, 55077, 54371, 56901, 53999, 50885, 56990, 56901, 53562, 61513, 55541, 54035, 56901, 53586, 50868, 55077, 62852, 50799, 60856, 57680, 56566, 50845, 51338, 56951, 56901, 54644, 50946, 55077, 52839, 53172, 56496, 50918, 51171, 51305, 50294, 51047, 55017, 51293, 52949, 51293, 51914, 51293, 51859, 51293, 51181, 60881, 56901, 53387, 50946, 55808, 52839, 53264, 50848, 63253, 54371, 56901, 53999, 50946, 55808, 52839, 53562, 61513, 50918, 50885, 51305, 50292, 51047, 51338, 60881, 56901, 53586, 50946, 55077, 62852, 57342, 56990, 70187, 56901, 54644, 50946, 52839, 53172, 61513, 50918, 52021, 51151, 56452, 51293, 53503, 51293, 51914, 51293, 51859, 51293, 51727, 71382, 56901, 53387, 51037, 58338, 52839, 53264, 50848, 54879, 51422, 50804, 56901, 53999, 50872, 52839, 53562, 77988, 64700, 54035, 56901, 53586, 50872, 62852, 50799, 61513, 56378, 50845, 51727, 56951, 56901, 54644, 51037, 52839, 53172, 60856, 77560, 51305, 50289, 51151, 57523, 52121, 52949, 52121, 53245, 52121, 51953, 52121, 51844, 60881, 56901, 53387, 50946, 54879, 52839, 53264, 51017, 62258, 54371, 56901, 53999 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 3152, 16882, 6, 4246, 10, 2382, 3459, 8669, 8, 13305, 816, 5, 1049, 12049, 6, 2800, 30, 38668, 22052, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 20, 2125, 34, 10, 19448, 8, 33558, 6711, 6, 3544, 10686, 13, 5, 1619, 191, 4, 85, 18, 11, 163, 538, 6, 34, 10, 7212, 20889, 9, 6560, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 381, 6, 163, 6, 381, 6, 230, 10431, 119, 406, 6, 8, 274, 10431, 2092, 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 ]	[ 56103, 51540, 51841, 51519, 50296, 66386, 50879, 51374, 54300, 51815, 51056, 54549, 52096, 52091, 52096, 52398, 52096, 56817, 52250, 50655, 50348, 51492, 77412, 52639, 50973, 50795, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 50893, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50893, 51595, 71823, 54109, 50839, 51540, 51147, 50893, 51910, 50893, 51815, 68659, 53704, 56051, 52458, 51631, 50973, 50879, 51910, 51991, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 57599, 51253, 57106, 51145, 50655, 50346, 51127, 50856, 53057, 51114, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 54173, 51145, 50655, 50344, 51127, 74870, 50468, 74870, 50474, 50965, 50795, 51857, 50940, 51595, 71823, 54109, 50839, 51540, 52759, 50806, 51360, 77159, 50795, 51957, 54454, 54322, 51056, 53496, 52096, 55783, 50974, 50655, 50343, 59384, 53704, 56051, 54173, 50845, 50655, 50344, 53466, 51028, 50795, 52159, 51056, 55521, 51717, 67686, 52149, 50856, 52417, 51495, 51452, 50438, 50965, 57599, 51253, 50856, 53057, 51114, 50911, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 57599, 51159, 74870, 50468, 74870, 50474, 50965, 50873, 51957, 50879, 51495, 71823, 54109, 50839, 51540, 51147, 50805, 51602, 52382, 54322, 68659, 53704, 55800, 51028, 50879, 52159, 68659, 52417, 51495, 51452, 50438, 50965, 50849, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 50849, 51089, 51159, 53956, 50915, 64746, 61035, 50834, 50468, 74870, 50474, 50965, 50805, 51602, 50937, 51495, 51006, 55837, 50915, 50655, 50339, 61035, 54109, 50839, 51540, 51966, 50806, 51378, 51936, 50322, 50893, 51640, 54454, 54322, 51056, 52582, 52096, 51701, 53413, 55862, 51103, 50655, 50341, 51336, 50856, 53704, 55800, 51028, 79253, 68659, 52417, 51495, 51452, 60496, 50873, 51268, 51253, 53956, 51183, 64746, 51077, 50856, 53057, 51147, 50893, 51023, 51157, 50856, 53754, 50961, 50462, 51028, 50805, 51268, 51159, 57041, 51003, 59969, 57038, 50834, 50468, 74870, 50474, 50877, 50849, 51640, 51100, 51495, 51006, 56431, 50915, 56461, 61035, 54109, 50839, 51540, 54637, 51442, 50291, 51442, 50322, 50806, 51910, 51655, 54110, 51056, 52606, 53413, 54549, 52096, 58241, 51307, 56822, 51655, 50856, 53704, 55800, 51001, 50849, 52473, 68659, 52417, 51595, 51452, 50438, 50973, 50805, 51341, 51253, 50856, 53057, 51220, 50806, 51208, 51157, 50856, 53754, 50961, 50462, 51001, 50879, 51341, 51159, 55862, 50943, 50655, 50341, 56053, 50834, 50468, 74870, 50474, 50973, 50901, 51910, 50865, 51595, 51006, 55837, 50892, 50655, 50339, 60095, 54109, 50839, 51540, 51841, 51936, 50296, 51936, 50324, 50879, 51374, 54300, 51815, 51056, 52091, 52096, 52398, 52096, 55837, 52250, 50655, 50339, 51492, 50856, 53704, 55800, 50968, 50849, 52159, 68659, 52417, 51595, 51452, 50438, 50973, 57599, 51253, 50856, 53057, 50968, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50805, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50805, 51595, 71823, 54109, 50839, 51540, 50973, 50879, 51910, 50879, 51815, 68659, 53704, 56051, 52458, 51631, 50965, 50795, 51910, 51655, 52159, 68659, 52417, 51595, 51452, 59419, 50805, 51089, 51253, 54173, 51077, 50655, 50344, 51356, 50856, 53057, 50965, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50916, 57599, 51159, 57106, 51103, 50655, 50346, 51336, 74870, 50468, 51456, 50846, 50474, 51086, 50893, 51595, 51006, 51326, 50846, 51540, 51841, 51519, 50296, 66386, 50879, 51374, 54300, 51815, 51056, 56817, 52250, 50655, 50348, 51492, 62273, 52639, 50973, 50795, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 50893, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50893, 51595, 71823, 54109, 50839, 51540, 51147, 50893, 51910, 50893, 51815, 68659, 53704, 56051, 52458, 51631, 50973, 50879, 51910, 51991, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 57599, 51253, 57106, 51127, 50655, 50346, 50918, 50856, 53057, 51114, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 54173, 51218, 50655, 50344, 50983, 74870, 50468, 74870, 50474, 50965, 50795, 51857, 50940, 51595, 71823, 54109, 50839, 51540, 52759, 50806, 51360, 77159, 50795, 51957, 54454, 54322, 51056, 53496, 52096, 55783, 50892, 50655, 50343, 60095, 53704, 56051, 54173, 50873, 50655, 50344, 51631, 51028, 50795, 52159, 51056, 55521, 52096, 67686, 52122, 50856, 52417, 51495, 51452, 50438, 50965, 57599, 51253, 50856, 53057, 51114, 50911, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 57599, 51159, 74870, 50468, 74870, 50474, 50965, 50873, 51957, 50879, 51495, 71823, 54109, 50839, 51540, 51147, 50805, 51602, 52382, 54322, 68659, 53704, 55800, 51028, 50879, 52159, 68659, 52417, 51495, 51452, 50438, 50965, 50849, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 50849, 51089, 51159, 53956, 50995, 64746, 69238, 50834, 50468, 74870, 50474, 50965, 50805, 51602, 50937, 51495, 51006, 55837, 50915, 50655, 50339, 61035, 54109, 50839, 51540, 51966, 50806, 51378, 51936, 50322, 50893, 51640, 54454, 54322, 51056, 52582, 52096, 51701, 53413, 55862, 51127, 50655, 50341, 50918, 50856, 53704, 55800, 51028, 79253, 68659, 52417, 51495, 51452, 60496, 50873, 51268, 51253, 53956, 51145, 64746, 51127, 50856, 53057, 51147, 50893, 51023, 51157, 50856, 53754, 50961, 50462, 51028, 50805, 51268, 51159, 57041, 51003, 59969, 57038, 50834, 50468, 74870, 50474, 50877, 50849, 51640, 51100, 51495, 51006, 56431, 50915, 56461, 61035, 54109, 50839, 51540, 54637, 51442, 50291, 51442, 50322, 50806, 51910, 51655, 54110, 51056, 54549, 52096, 52606, 53413, 58241, 51359, 56822, 51036, 50856, 53704, 55800, 51001, 50849, 52473, 68659, 52417, 51595, 51452, 50438, 50973, 50805, 51341, 51253, 50856, 53057, 51220, 50806, 51208, 51157, 50856, 53754, 50961, 50462, 51001, 50879, 51341, 51159, 56431, 51097, 56461, 69238, 50834, 50468, 74870, 50474, 50973, 50901, 51910, 50865, 51595, 51006, 57041, 51003, 59969, 57038, 54109, 50839, 51540, 51841, 51936, 50296, 51936, 50324, 50879, 51374, 54300, 51815, 51056, 52091, 53413, 52398, 53413, 56431, 53651, 56461, 53363, 50856, 53704, 55800, 50968, 50849, 52159, 68659, 52417, 51595, 51452, 50438, 50973, 57599, 51253, 50856, 53057, 50968, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50805, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50805, 51595, 51006, 61155, 50915, 55386, 61035, 54109, 50839, 51540, 51324, 79541, 60452, 50879, 51910, 50879, 54110, 51056, 52582, 53413, 52606, 53413, 65661, 52821, 53927, 52045, 50856, 53704, 56051, 52458, 51631, 50989, 50795, 51910, 51655, 52473, 68659, 52417, 51595, 51452, 64574, 50805, 51268, 51253, 50856, 53057, 50989, 50893, 51208, 51157, 50856, 53754, 50961, 50462, 50956, 63483, 51159, 74870, 50468, 74870, 50474, 51086, 50893, 51595, 71823, 54109, 50839, 51540, 51841, 53073, 50973, 50914, 52398, 60130, 52295, 60130, 52252, 60130, 77412, 52639, 50965, 53470, 50916, 50892, 51971, 56391, 51971, 51798, 51315, 51801, 50973, 50873, 51971, 51343, 50462, 50965, 50845, 50474, 50916, 51166, 51971 ]
[ 0, 250, 15352, 30054, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 10, 20535, 2810, 6, 38668, 22052, 6, 18558, 6, 38668, 9590, 6, 8, 3459, 13305, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 274, 10431, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 8, 230, 10431, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50796, 50799, 50776, 50354, 53501, 50796, 50799, 50776, 50354, 53501, 50799, 56716, 52266, 54308, 51353, 52623, 51353, 52089, 52122, 75386, 51243, 56470, 51243, 52582, 52122, 52252, 51353, 53034, 51353, 50450, 57183, 56210, 56376, 50911, 50799, 57183, 51551, 54099, 51353, 53444, 51353, 50740, 50286, 51243, 67314, 51243, 52072, 51353, 52736, 51353, 50776, 50354, 53501, 50438, 62365, 51551, 50799, 56716, 52266, 54308, 51353, 52623, 51353, 75386, 51243, 56470, 51243, 52252, 51353, 53034, 51353, 50450, 57183, 56210, 56376, 50911, 50799, 57183, 51551, 54099, 51353, 53444, 51353, 50740, 50286, 51243, 67314, 51243, 52072, 51353, 52736, 51353, 50776, 50354, 53501, 50438, 56302, 51551, 50799, 56276, 52282, 52041, 51353, 51986, 51353, 54308, 52122, 64638, 51243, 53278, 51243, 52398, 51353, 52252, 51353, 52295, 51353, 55697, 51243, 50444, 59394, 56160, 62365, 56210, 56276, 50911, 50799, 62365, 51551, 52623, 51353, 52089, 51353, 75386, 51243, 56470, 51243, 52582, 52122, 52252, 51353, 53034, 51353, 61570, 51243, 50438, 56716, 51551, 50799, 57183, 52266, 54099, 52122, 53444, 52122, 52089, 52122, 50740, 50286, 51801, 67314, 51801, 52072, 52122, 52736, 52122, 61570, 51801, 50832, 52231, 51921, 52231, 55997, 52611, 52111, 52611, 50426, 50832, 52611, 51999, 52445, 50432, 50832, 51693, 52224, 52445, 50438, 50832, 51693, 52260, 76027, 50832, 51258, 52283, 58547, 56716, 51090, 50832, 51258, 52145, 58210, 59336, 52215, 51129, 50799, 57183, 52017, 71087, 73150, 50832, 50908, 52111, 53356, 59336, 51999, 54354, 68097, 52224, 54114, 50816, 62264, 50908, 50440, 60707, 53525, 54697, 65454, 50816, 54485, 50816, 52497, 56453, 50816, 55721, 50816, 52144, 57855, 72358, 51899, 69618, 59986, 50835, 54706, 51909, 61634, 50816, 52579, 50816, 51872, 50829, 56032, 50841, 53206, 52100, 57243, 50816, 50846, 71999, 50882, 54076, 50882, 56716, 52266, 54308, 51353, 52623, 51353, 52089, 52122, 52582, 52122, 52252, 51353, 53034, 51353, 52924, 51792, 50368, 51865, 64264, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 54451, 51130, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 50882, 57183, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 50930, 56376, 56655, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 51551, 54099, 51353, 53444, 51353, 52072, 51353, 52736, 51353, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 50930, 62365, 51551, 52924, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 59057, 51792, 54991, 60807, 50930, 53311, 52633, 51792, 50908, 71999, 50882, 54076, 50882, 56716, 52266, 54308, 51353, 52623, 51353, 52252, 51353, 53034, 51353, 52924, 51792, 50908, 51402, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 54451, 51130, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 50882, 57183, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 50930, 56376, 56655, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 51551, 54099, 51353, 53444, 51353, 52072, 51353, 52736, 51353, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 50930, 56302, 51551, 52924, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 56409, 53934, 51792, 54991, 60807, 50930, 53311, 56409, 51239, 51792, 50908, 69036, 50882, 54813, 50882, 56276, 52282, 52041, 51353, 51986, 51353, 54308, 52122, 52398, 51353, 52252, 51353, 52295, 51353, 55697, 51243, 52924, 51792, 50908, 51402, 51792, 54213, 52645, 50882, 54813, 54984, 70406, 51510, 51792, 52976, 52645, 50882, 54813, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 52645, 50930, 54813, 59057, 51792, 54606, 52645, 50930, 54813, 52633, 51792, 52958, 52645, 50930, 54813, 54451, 51130, 51792, 61577, 52645, 50882, 54813, 51594, 51792, 53858, 59394, 50911, 51525, 56502, 51792, 54847, 52645, 50930, 54813, 50386, 55913, 52465, 51792, 53166, 52645, 50882, 54813, 50882, 62365, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 52645, 50930, 54813, 50930, 56276, 56655, 51792, 54991, 52645, 50930, 54813, 52633, 51792, 50908, 71999, 50882, 54076, 50882, 62365, 51551, 52623, 51353, 52089, 51353, 52582, 52122, 52252, 51353, 53034, 51353, 61570, 51243, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 50930, 56716, 51551, 52924, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 59057, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 52266, 54099, 52122, 53444, 52122, 52089, 52122, 52072, 52122, 52736, 52122, 61570, 51801, 52924, 51792, 50908, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 54451, 51130, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 50882, 56716, 51090, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 59057, 51792, 54991, 60807, 50930, 53311, 52633, 51792, 50908, 52308, 50274, 50882, 53311 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 9590, 6, 2020, 3548, 6, 8, 21979, 8669, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 3136, 23, 10, 182, 1769, 20889, 9, 25669, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 406, 6, 274, 406, 6, 8, 163, 428, 401, 6, 8216, 7, 5, 2214, 18, 32076, 8, 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 ]	[ 71691, 51560, 51145, 73918, 51197, 51047, 53167, 50981, 51707, 50914, 51302, 61349, 50997, 50942, 50956, 50942, 64871, 51207, 50984, 71108, 53167, 50897, 51707, 56057, 51261, 51391, 73918, 51234, 51047, 53167, 51333, 51707, 50932, 51382, 61349, 78679, 70697, 58882, 51207, 51210, 77680, 53167, 50987, 51707, 73246, 51261, 50959, 53202, 51148, 73918, 51050, 51148, 50956, 51148, 71698, 78872, 50876, 51148, 51997, 50808, 53167, 51123, 50418, 51997, 50844, 53167, 53010, 50422, 51997, 69860, 61349, 51131, 50984, 71108, 53167, 51014, 51997, 78137, 53167, 56149, 51997, 54773, 51261, 51127, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 53167, 51387, 50439, 51997, 62604, 53167, 56888, 51997, 50833, 51382, 61349, 51846, 50984, 62326, 50451, 51997, 50938, 53167, 51174, 50458, 51997, 56569, 53167, 50844, 55970, 51145, 73918, 51197, 51148, 50956, 51148, 70330, 80242, 51707, 51380, 53457, 51312, 51302, 61349, 51207, 50984, 71108, 53457, 50895, 51707, 58322, 51707, 52462, 50435, 53457, 52462, 62145, 51148, 73918, 51279, 51047, 53154, 50844, 52344, 51269, 50442, 53154, 50827, 52344, 54861, 50446, 53154, 50851, 51382, 61349, 50956, 50942, 69874, 64940, 70178, 52028, 50984, 73248, 52344, 50910, 53154, 62990, 52344, 58247, 53154, 50854, 53202, 51183, 73918, 51050, 51047, 51997, 51380, 53457, 51312, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 51131, 50984, 71108, 53457, 50895, 51997, 58322, 51997, 52462, 50435, 53457, 52462, 68958, 51148, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 52814, 50981, 52146, 50914, 53526, 50907, 51382, 51589, 50907, 52239, 51101, 62212, 52814, 50897, 52146, 64175, 52681, 50813, 55970, 51145, 73918, 51197, 51047, 53282, 51603, 53139, 51162, 53167, 51330, 51707, 51097, 51302, 61349, 50997, 50942, 50956, 50942, 64871, 53282, 51603, 53139, 51162, 51207, 50984, 71108, 53167, 51008, 51707, 59983, 51261, 51391, 73918, 51234, 51047, 52269, 51021, 53282, 50917, 53167, 52025, 51707, 77074, 53282, 51603, 53139, 51162, 51382, 61349, 78679, 70697, 58882, 51207, 51210, 77680, 53167, 51174, 51707, 61703, 52269, 51021, 53282, 73246, 51261, 50959, 53788, 51148, 73918, 51085, 51047, 53282, 51112, 53139, 51411, 52181, 52056, 52391, 51806, 51302, 61349, 74656, 64871, 69429, 70178, 53282, 51112, 53139, 51411, 51246, 50984, 68864, 52391, 50820, 52181, 59992, 52181, 52794, 50435, 52391, 56373, 50438, 52078, 51145, 73918, 51214, 51047, 52269, 50865, 53559, 50987, 52181, 52378, 52391, 51484, 50444, 53282, 51112, 53139, 51411, 51382, 61349, 61412, 58882, 63156, 59725, 51246, 51210, 59664, 52181, 50867, 52391, 53268, 52269, 50865, 53559, 77381, 52181, 55084, 52391, 58576, 53202, 51790, 73918, 51050, 51047, 52889, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 53139, 51025, 55402, 51576, 51131, 51376, 51136, 50977, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 56373, 57385, 51391, 73918, 51085, 51047, 53139, 51025, 55402, 51576, 51997, 52378, 53457, 51484, 51382, 61349, 70697, 72461, 59725, 52449, 50866, 52889, 51174, 51131, 52731, 79196, 51997, 50867, 53457, 53268, 52449, 51714, 52889, 52335, 50458, 51997, 55084, 53457, 58576, 50459, 51150, 51328, 60200, 51183, 73918, 51050, 51145, 51997, 53957, 53457, 51484, 51302, 61349, 50956, 50897, 50871, 65840, 50897, 66634, 51131, 51166, 51136, 50838, 51997, 50886, 53457, 59062, 51997, 51252, 53457, 51998, 57385, 51047, 73918, 51085, 51397, 51131, 51432, 51136, 51242, 51997, 54836, 53457, 51775, 53526, 50907, 51382, 51589, 50907, 50956, 50942, 68452, 64940, 70178, 70009, 51136, 50901, 51997, 50867, 53457, 62616, 51997, 58576, 50459, 53457, 54146, 54204, 51148, 73918, 51234, 51047, 52269, 51025, 52889, 51576, 52162, 52056, 52814, 51806, 51302, 61349, 68452, 76600, 69429, 71363, 52269, 51025, 52889, 51576, 51846, 50984, 62326, 52814, 50820, 52162, 59992, 52162, 52794, 50435, 52814, 56373, 50438, 51793, 51145, 73918, 51247, 51047, 52269, 51134, 52889, 51679, 52162, 52378, 52814, 51484, 51382, 61349, 57956, 74803, 63156, 64144, 51846, 51210, 70748, 52162, 50867, 52814, 53268, 52681, 50866, 52449, 51174, 50458, 52162, 55084, 52814, 58576, 53202, 51148, 73918, 51050, 51148, 50956, 51148, 71698, 78872, 50876, 51148, 53139, 51025, 55402, 51576, 53167, 51330, 51997, 51097, 51302, 61349, 53139, 51025, 55402, 51576, 51131, 50984, 71108, 53167, 51008, 51997, 59983, 51261, 51127, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 53139, 50866, 55951, 51174, 52814, 51330, 52146, 61112, 52889, 51134, 55439, 51679, 51382, 61349, 51846, 50984, 62326, 52814, 51008, 52146, 51008, 55970, 51145, 73918, 51197, 51148, 50956, 51148, 70330, 80242, 52889, 51025, 55951, 51576, 51707, 52056, 53457, 51806, 51302, 61349, 53282, 51025, 53139, 51576, 51207, 50984, 71108, 53457, 50820, 51707, 59992, 51707, 52794, 50435, 53457, 52794, 62145, 51148, 73918, 51279, 51047, 52449, 50866, 54106, 51174, 53154, 50912, 52344, 51550, 50442, 53154, 50984, 52344, 58961, 50444, 52449, 51025, 54106, 51576, 50446, 53154, 51123, 51382, 61349, 50956, 50942, 69874, 64940, 70178, 52028, 50984, 73248, 52344, 50959, 53154, 61898, 52269, 50866, 53282, 51174, 50458, 52344, 72037, 53154, 50827, 53202, 51183, 73918, 51050, 51047, 53282, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 52449, 51025, 52889, 51576, 51131, 50984, 71108, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 52794, 68958, 51148, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 52269, 50866, 53282, 51174, 52814, 51330, 52146, 61112, 52681, 51134, 52449, 51679, 53526, 50907, 51382, 51589, 50907, 62212, 52814, 51008, 52146, 51008, 55970, 51145, 61237, 51589, 50367, 52054, 50907, 51197, 51047, 53282, 51025, 53139, 51576, 53167, 51330, 51707, 51097, 51302, 61349, 50956, 50942, 64871, 69429, 53282, 51025, 53139, 51576, 51207, 50984, 71108, 53167, 51008, 51707, 59983, 51261, 51391, 73918, 51234, 51047, 52269, 50866, 53282, 51174, 53167, 52025, 51707, 77074, 53282, 51025, 53139, 51576, 51382, 61349, 70697, 58882, 63156, 51207, 51210, 77680, 53167, 51174, 51707, 61703, 52269, 50866, 53282, 51174, 50458, 51261, 50959, 53788, 51134, 73918, 51085, 51047, 53282, 51025, 53139, 51576, 52181, 52056, 52391, 51806, 50426, 51261, 56744, 61349, 74656, 64871, 69429, 70178, 53282, 51025, 53139, 51576, 51246, 50984, 68864, 52391, 50820, 52181, 59992, 52181, 52794, 50435, 52391, 56373, 50438, 51522, 50995, 73918, 51214, 51047, 52269, 50866, 53559, 51174, 52181, 52378, 52391, 51484, 50444, 53282, 51025, 53139, 51576, 53526, 55814, 51098, 67675, 53156, 50907, 61412, 58882, 63156, 59725, 51246, 51210, 59664, 52181, 50867, 52391, 53268, 52269, 50866, 53559, 51174, 50458, 52181, 55084, 52391, 58576, 53202, 51148, 73918, 51050, 51047, 52889, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 53139, 51025, 55402, 51576, 51131, 51166, 51136, 50892, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 56373, 57385, 51145, 73918, 51085, 51047, 53139, 51025, 55402, 51576, 51997, 52378, 53457, 51484, 51382, 61349, 70697, 72461, 59725, 52449, 50866, 52889, 51174, 51131, 51074, 51136, 50905, 51997, 50867 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 132, 73, 306, 86, 6543, 23, 10, 7212, 20889, 4, 20, 13305, 8, 2236, 1021, 2678, 29, 1045, 41, 3722, 8, 19448, 5466, 6, 7630, 14805, 6453, 9, 657, 4, 20, 2214, 6, 11, 5, 762, 9, 274, 10431, 3694, 6, 1575, 10, 33215, 16739, 9, 230, 10431, 406, 6, 274, 10431, 119, 6, 83, 6, 163, 119, 6, 8, 381, 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 ]	[ 74734, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 62521, 50989, 51048, 51220, 51048, 51057, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 55834, 50989, 51048, 76986, 51048, 51027, 51048, 51086, 51048, 50989, 51048, 51081, 52115, 51220, 51631, 51315, 51048, 51026, 51048, 51086, 51048, 50916, 51048, 50999, 56171, 51220, 60568, 50999, 54372, 50951, 50795, 51057, 51378, 51048, 50997, 51048, 50916, 51048, 50931, 52115, 51114, 51631, 51026, 51048, 51086, 51048, 50916, 51048, 50968, 56171, 51114, 60568, 50968, 54372, 50902, 50795, 51057, 51315, 51048, 51086, 67565, 51048, 51028, 54925, 50902, 61131, 51028, 55587, 50973, 51631, 51378, 51048, 50997, 51048, 50916, 51048, 51028, 51736, 51114, 50795, 51057, 51324, 79746, 51048, 50973, 51048, 50415, 50627, 50416, 50627, 50417, 50627, 50418, 50627, 50419, 50627, 50420, 50627, 50421, 50627, 50422, 50626, 50423, 50626, 50424, 50626, 50425, 50626, 50426, 50626, 72995, 50989, 71884, 51048, 50427, 50626, 50428, 50626, 50429, 50626, 50430, 50626, 51086, 72068, 50626, 50432, 50625, 50433, 50625, 50434, 50625, 51378, 57907, 50625, 50436, 50625, 50437, 50625, 51057, 50625, 51324, 79746, 51048, 50973, 51048, 50415, 50625, 50416, 50625, 50417, 50625, 50418, 50624, 50419, 50624, 50420, 50624, 50421, 50624, 50422, 50624, 50423, 50624, 50424, 50624, 50425, 50624, 50426, 50624, 72995, 50989, 71884, 51048, 50427, 50624, 50428, 50623, 50429, 50623, 50430, 50623, 51086, 72068, 50623, 50432, 50623, 50433, 50623, 50434, 50623, 51378, 57907, 50623, 50436, 50623, 51057, 51324, 65842, 73757, 50918, 79296, 50899, 68691, 71884, 51048, 51114, 51048, 53773, 51048, 56947, 67565, 51048, 50973, 51048, 50968, 51048, 52908, 51048, 75040, 61336, 63831, 50918, 51028, 50918, 52642, 52115, 52525, 51631, 52655, 51736, 51855, 50795, 69953, 74882, 63831, 68900, 50918, 53773, 56202, 53773, 52296, 52642, 51620, 52086, 51048, 51057, 51086, 51048, 50989, 51048, 50973, 71884, 51048, 52086, 62521, 51315, 67565, 51048, 51028, 51048, 52642, 51048, 51057, 51378, 71651, 74882, 68488, 50918, 51028, 50918, 52655, 52115, 52753, 51631, 52077, 51736, 52708, 50795, 51057, 51324, 79746, 74882, 73757, 50918, 52086, 62521, 51086, 51048, 52525, 51048, 51057, 51315, 51352, 61104, 54828, 56190, 50795, 52655, 51736, 52655, 50795, 51057, 51040, 67565, 51048, 50973, 51048, 52655, 52115, 52655, 51631, 51120, 75465, 67565, 51048, 50973, 51048, 52525, 51736, 51315, 50795, 52655, 50795, 51057, 51378, 65842, 51048, 50989, 51048, 50973, 51048, 52642, 51048, 53337, 51048, 50989, 51048, 50973, 51048, 52086, 51048, 65679, 51352, 61104, 51048, 50916, 51048, 50973, 51048, 52655, 51736, 52655, 50795, 51057, 51040, 51048, 50916, 51048, 50973, 51048, 52655, 52115, 52655, 51631, 51378, 64404, 51048, 50916, 51048, 50973, 51048, 52525, 51736, 51026, 50795, 52655, 50795, 74519, 51048, 51040, 71883, 51048, 50973, 51048, 52642, 62521, 51360, 51048, 51040, 71883, 51048, 50973, 51048, 52086, 51736, 52655, 50795, 51057, 51378, 50918, 51040, 71651, 74882, 73757, 51048, 52655, 50983, 50415, 50622, 50416, 50622, 50417, 50622, 50418, 50622, 50419, 50622, 50420, 50622, 50421, 50621, 50422, 50621, 50423, 50621, 50424, 50621, 50425, 50621, 50426, 50621, 50906, 51048, 50427, 50621, 50428, 50621, 50429, 50621, 50430, 50621, 50431, 50621, 50432, 50621, 52525, 60121, 50621, 50434, 50621, 50435, 50621, 51057, 51324, 79746, 51048, 50989, 51048, 50973, 51048, 52525, 62521, 50622, 51114, 51736, 50968, 50795, 51057, 60537, 50418, 51114, 56908, 51028, 53244, 50973, 59161, 51114, 56080, 60537, 64690, 68691, 71884, 51048, 51114, 51048, 53773, 51048, 56947, 67565, 51048, 50973, 51048, 50968, 51048, 52908, 51048, 75040, 61336, 63831, 50918, 51028, 50918, 52642, 52115, 52525, 51631, 52655, 51736, 51855, 50795, 69953, 74882, 63831, 68900, 50918, 53773, 56202, 53773, 52296, 52642, 51620, 52086, 51048, 51057, 51086, 51048, 50989, 51048, 50973, 71884, 51048, 52086, 62521, 51315, 67565, 51048, 51028, 51048, 52642, 51048, 51057, 51378, 71651, 74882, 68488, 50918, 51028, 50918, 52655, 52115, 52753, 51631, 52077, 51736, 52708, 50795, 51057, 51324, 79746, 74882, 73757, 50918, 52086, 62521, 51086, 51048, 52525, 51048, 67870, 50918, 51040, 51048, 50965, 51048, 50973, 51048, 52655, 59492, 51040, 51048, 50965, 51048, 50973, 68175, 52655, 50795, 51057, 51315, 50918, 51040, 67565, 72999, 51048, 52655, 52115, 52655, 51631, 51040, 67565, 68691, 51048, 52086, 51736, 52642, 50795, 69953, 65842, 51048, 50989, 68691, 51048, 53773, 62521, 50989, 68691, 71884, 51048, 53773, 51048, 51057, 51315, 61336, 71068, 53773, 52115, 50916, 50795, 52642, 51631, 50861, 71068, 52908, 51736, 50916, 50795, 51882, 50795, 51057, 51378, 74882, 56190, 50795, 52525, 51048, 61683, 51631, 51966, 51048, 50989, 56730, 50795, 52655, 68175, 51040, 50795, 51057, 51247, 50918, 51050, 72025, 56190, 57981, 50795, 55272, 51048, 61683, 51631, 50965, 56190, 57981, 50795, 52655, 68175, 51040, 50795, 51057, 51247, 50918, 51050, 72025, 56190, 57981, 50795, 52655, 60055, 51040, 51631, 50965, 56190, 57981, 51736, 51040, 50795, 52655, 50795, 51057, 51841, 51048, 51315, 67565, 56730, 57981, 50795, 52655, 52115, 51040, 50795, 52655, 51631, 51279, 67565, 56730, 57981, 50795, 52086, 51736, 51040, 50795, 52642, 50795, 51057, 51799, 50918, 51120, 74882, 56036, 55673, 50795, 53773, 51048, 54569, 51631, 50989, 56036, 55673, 50795, 53773, 51048, 58296, 50795, 51057, 51841, 50918, 51315, 61336, 57981, 50795, 53773, 52115, 50916, 50795, 52642, 51631, 50861, 57981, 50795, 52086, 51736, 50916, 50795, 52655, 50795, 51057, 51966, 50918, 51378, 74882, 56190, 55673, 50795, 52525, 51048, 54569, 51631, 50989, 56190, 55673, 50795, 52086, 51048, 58296, 50795, 51057, 51966, 50918, 51378, 74882, 56730, 50795, 52655, 51048, 56440, 51631, 50989, 56730, 50795, 53773, 51048, 64185, 50795, 51057, 51324, 51161, 50899, 51161, 50989, 51161, 50973, 51161, 52525, 50918, 51038, 50426, 50631, 74734, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 62521, 50989, 51048, 51220, 51048, 51057, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 55834, 50989, 51048, 76986, 51048, 51027, 51048, 51086, 51048, 50989, 51048, 51081, 52115, 51220, 51631, 51315, 51048, 51026, 51048, 51086, 51048, 50916, 51048, 50999, 56171, 51220, 60568, 50999, 54372, 50951, 50795, 51057, 51378, 51048, 50997, 51048, 50916, 51048, 50931, 52115, 51114, 51631, 51026, 51048, 51086, 51048, 50916, 51048, 50968, 56171, 51114, 60568, 50968, 54372, 50902, 50795, 51057, 51315, 51048, 51086, 67565, 51048, 51028, 54925, 50902, 61131, 51028, 55587, 50973, 51631, 51378, 51048, 50997, 51048, 50916, 51048, 51028, 51736, 51114, 50795, 51057, 51324, 79746, 51048, 50973, 51048, 50415, 50627, 50416, 50627, 50417, 50627 ]
[ 0, 713, 765, 5175, 2214, 11, 274, 10431, 538, 1575, 10, 38668, 483, 816, 5, 33301, 6, 7513, 30, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 85, 34, 10, 1372, 8, 15352, 30054, 16464, 6, 20455, 9, 569, 177, 50, 822, 930, 6, 8, 3136, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 52466, 51066, 50913, 50800, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 63783, 51184, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 60061, 51407, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 63783, 51184, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51407, 51068, 51184, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 58583, 52442, 50913, 50809, 53214, 52628, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 52737, 50798, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51184, 51068, 52737, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 52737, 50798, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 52737, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737 ]
[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 15855, 4785, 6, 22750, 1626, 11098, 8, 8593, 26358, 6, 442, 24, 1969, 13, 2365, 50, 1619, 9629, 4, 20, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 489, 5, 1007, 239, 6, 150, 5, 228, 438, 4781, 2088, 6757, 6, 2020, 3548, 6, 3152, 6757, 6, 856, 17993, 6, 8, 20535, 2810, 1045, 10, 11577, 8, 31612, 2369, 18795, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 1575, 10, 16331, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 8, 230, 6, 1271, 7, 63, 33200, 8, 10132, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50457, 53587, 61736, 53081, 50851, 50799, 51871, 51677, 51908, 51449, 50964, 52570, 56170, 53201, 51829, 53201, 52328, 53201, 51676, 53201, 57788, 51161, 53546, 51592, 51683, 51677, 52384, 51486, 52006, 52526, 51872, 71768, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 50832, 55108, 50832, 69506, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 50832, 54939, 52368, 51411, 54291, 50932, 51648, 51411, 51702, 51400, 50832, 73951, 59480, 51124, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 51908, 50932, 51871, 52062, 50832, 50971, 50799, 53546, 51878, 52384, 51413, 50832, 65707, 57788, 50991, 51683, 51627, 50416, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 51666, 51484, 50832, 56323, 50832, 50941, 50427, 60996, 51112, 50428, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 51531, 51627, 50832, 55108, 53546, 50932, 50832, 70639, 55301, 51291, 51963, 51283, 52384, 51413, 50440, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 50832, 54939, 53587, 51108, 50832, 73951, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 50832, 50971, 50799, 51908, 50827, 51871, 50844, 50953, 51196, 53455, 51922, 52333, 51922, 53546, 50933, 52006, 52526, 51872, 65707, 60996, 50800, 52310, 50864, 51866, 50854, 50416, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 51908, 51627, 51871, 51627, 60996, 51446, 53546, 51627, 52310, 51448, 51866, 51291, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 50832, 55108, 51443, 51285, 50832, 69506, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 51666, 51199, 51691, 51108, 51859, 51466, 51982, 51466, 57435, 51048, 53081, 51709, 51913, 51645, 50832, 54939, 51702, 51346, 50832, 73951, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 51531, 53142, 51908, 53142, 56170, 51922, 51676, 51922, 51829, 51922, 51953, 51922, 53587, 52140, 51963, 51243, 52384, 51264, 50832, 50971, 52534, 51469, 55301, 51605, 52006, 52526, 51872, 71768, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 62692, 50832, 51128, 52224, 73370, 50832, 64212, 50832, 51851, 50440, 50832, 52134, 52260, 51297, 50443, 50832, 51851, 50444, 51068, 51909, 51297, 50446, 50832, 51128, 52283, 51319, 50449, 59829, 68359, 60258, 51068, 52100, 51128, 79697, 51319, 52145, 51319, 50455, 50832, 60272, 51068, 52493, 52139, 51319, 50458, 50832, 51319, 52215, 51851, 50461, 53546, 54101, 52134, 52534, 50880, 52277, 53201, 52673, 53201, 52901, 53201, 79017, 50839, 52344, 54819, 50964, 50962, 59829, 54447, 51700, 50857, 51707, 75900, 54104, 53546, 53383, 75990, 53208, 52773, 56338, 53546, 50822, 51707, 53705, 50964, 50962, 53587, 53065, 52273, 50857, 52181, 56446, 55233, 59701, 53587, 52444, 50964, 54441, 50840, 51707, 50904, 52344, 50837, 51891, 60362, 53081, 54247, 50964, 52374, 51700, 50813, 51707, 56518, 51891, 57723, 53587, 52741, 50964, 54441, 58045, 51707, 64833, 52181, 53017, 50964, 50962, 59829, 51277, 50791, 51700, 50857, 51621, 57498, 53546, 50862, 52534, 54441, 50846, 52344, 52944, 50964, 50962, 59829, 54447, 51700, 50857, 51707, 50971, 51891, 53868, 53546, 53383, 75990, 53208, 52773, 56338, 53546, 50810, 51707, 61699, 52181, 53031, 50964, 50962, 53587, 53065, 52273, 59880, 55233, 61360, 53587, 52444, 50964, 54441, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 53081, 50862, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 53587, 51446, 50450, 50964, 54441, 64703, 51707, 62356, 52181, 54232, 66827, 50852, 51700, 59854, 52993, 50809, 79704, 50864, 51531, 50857, 50964, 54441, 58888, 50839, 52344, 68353, 51531, 50981, 51994, 50981, 52993, 76260, 50964, 52374, 51700, 50857, 51707, 75900, 54104, 51707, 54689, 50964, 54441, 56338, 52181, 62627, 52619, 50864, 52344, 57378, 50964, 50962, 54144, 51421, 52273, 59701, 51531, 51172, 51871, 51172, 56107, 50880, 55301, 56937, 50840, 51707, 50904, 51891, 53027, 50964, 52374, 51700, 50813, 51707, 57298, 52146, 58510, 57435, 68390, 51666, 51642, 51871, 51233, 50964, 54441, 50840, 51891, 58207, 51707, 68935, 52181, 53017, 50964, 52374, 51700, 50857, 51621, 57498, 51908, 50864, 50799, 51871, 50857, 75990, 60996, 52773, 50846, 52344, 52944, 51908, 50981, 51871, 51312, 50964, 50962, 60996, 73262, 51700, 50857, 51707, 50971, 51891, 52712, 50964, 54441, 56338, 51707, 50904, 52146, 58734, 51666, 50857, 52181, 53031, 50964, 50962, 57435, 55593, 52273, 59701, 51908, 51277, 51871, 51448, 56107, 50880, 60996, 59155, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 51666, 50838, 51707, 55368, 50964, 50962, 57435, 54260, 51700, 58171, 51891, 61444, 51531, 75756, 75990, 55301, 60761, 64703, 51707, 62356, 52181, 54232, 66827, 50852, 51700, 59854, 51531, 50857, 51691, 50904, 52354, 50880, 55301, 50836, 53165, 56004, 52842, 56004, 52350, 56004, 50801, 50846, 52344, 68353, 51531, 50932, 51691, 57410, 50945, 50962, 55301, 56958, 51700, 50857, 52131, 75900, 54104, 51997, 54689, 50945, 54441, 56338, 51707, 62627, 52131, 57378, 51873, 50864, 50945, 50962, 54144, 52217, 52273, 53891, 51531, 51233, 51691, 51309, 50945, 50880, 55301, 60725, 50840, 52131, 50904, 51891, 53027, 50945, 52374, 51700, 50813, 51997, 57298, 51891, 58510, 51997, 52846, 51691, 50995, 51666, 51328, 50945, 50880, 57435, 51650, 58045, 51707, 68935, 55301, 50987, 52131, 53017, 51531, 51432, 50945, 52374, 51700, 50857, 51621, 50828, 50799, 51691, 50857, 51531, 50834, 50945, 50880, 55301, 53959, 50846, 52344, 61732, 55301, 61766, 51531, 51309, 51691, 51309, 50945, 52374, 51700, 50857, 52131, 50971, 51891, 52712, 50945, 54441, 56338, 51707, 50904, 51891, 58734, 51531, 50857, 51691, 50837, 55301, 50854, 52131, 53031, 50945, 56214, 52273, 59701, 51994, 51212, 51908, 51481, 54144, 51646, 75990, 52673, 53201, 52277, 53201, 52901, 53201, 50801, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 52993, 50839, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 51994, 51233, 51908, 51233, 52993, 59323, 50964, 54441, 64703, 51707, 62356, 52181, 54232, 50964, 58558, 51700, 50857, 50799, 51871, 50864, 51531, 50834, 75990, 52993, 53704, 58888, 50839, 52344, 63266, 52993, 61766, 51531, 50981, 51871, 50932, 50964, 52374, 51700, 50857, 51707, 50971, 51891, 52712, 50964, 54441, 56338, 51707, 61699, 51873, 50864, 52181, 53031, 50964, 50962, 54144, 51187, 52273, 59701, 51531, 51233, 51871, 51212, 56107, 50880, 55301, 68868, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 51871, 51233, 51666, 68324, 75990, 57435, 51650, 64703, 51707, 62356, 55301, 50839, 52181, 54232, 50964, 52374, 51700, 50857, 51621, 50828, 50799, 51908, 50825, 51871, 50864, 50964, 54441, 50846, 52344 ]
[ 0, 713, 8787, 5175, 15229, 11, 230, 3694, 16, 17407, 30, 63, 15352, 30054, 8, 3366, 219, 13408, 6, 19, 10, 11602, 9, 23975, 1825, 4, 20, 13305, 6, 3459, 13305, 6, 38668, 483, 6, 38668, 9590, 6, 8, 21040, 2426, 283, 561, 7, 1045, 10, 13363, 28191, 2369, 18795, 4, 8504, 11, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 5, 33215, 16739, 9, 230, 119, 406, 8, 272, 119, 1271, 7, 63, 70, 2407, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 55333, 50911, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 64904, 50806, 58498, 50811, 60187, 79160, 54663, 53897, 53241, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50807, 52951, 50807, 52003, 50807, 52647, 50807, 51771, 50807, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 56734, 50806, 58498, 50811, 60187, 79160, 54663, 55516, 52282, 52003, 51696, 52647, 51696, 51771, 51696, 52158, 51696, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 55516, 50893, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 54663, 53897, 50893, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 51795, 54686, 51795, 54464, 51795, 56704, 51795, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 55333, 50911, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 64904, 50806, 58498, 50811, 60187, 79160, 54663, 53897, 53241, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 53293, 51184, 55743, 51184, 54410, 51184, 58086, 51184, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50807, 52951, 50807, 52003, 50807, 52647, 50807, 51771, 50807, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 51795, 54686, 51795, 54464, 51795, 56704, 51795, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 56734, 50893, 58498, 50811, 60187, 79160, 54663, 55516, 51977, 52003, 51977, 52647, 51977, 51771, 51977, 52158, 51977, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 53293, 51184, 55743, 51184, 54410, 51184, 58086, 51184, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 55516, 50806, 53362, 50806, 52003, 50806, 52647, 50806, 51771, 50806, 52158, 50806, 64875, 55531, 73028, 68478, 50811, 57389, 52940, 55516, 50806, 53362, 50806, 52003, 50806, 52647, 50806, 51771, 50806, 52158, 50806, 51577, 51122, 55206, 50385, 52486, 50836, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50911, 53362, 50911, 52003, 50911, 52647, 50911, 51771, 50911, 52158, 50911, 51577, 51122, 51864, 50385, 52752, 50811, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 64766, 51013, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 51845, 50361, 51053, 73028, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 53435, 54686, 53435, 54464, 53435, 56704, 53435, 58498, 50811, 60187, 50811, 51229, 50836, 51039, 50880, 55841, 50811, 59449, 50811, 51229, 64783, 56647, 50887, 51694, 73028, 54799, 50896, 63811, 50811, 59470, 79160, 50890, 54503, 50809, 51361, 50880, 55841, 50811, 59449, 59009, 53149, 55122, 52632, 55855, 73028, 53141, 50795, 67061, 50811, 59016, 52940, 52645, 55855, 73028, 56267, 50924, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 51758, 57321, 73028, 56647, 50887, 54799, 50806, 58498, 50811, 60187, 79160, 54663, 52587, 51364, 52003, 51696, 52647, 51696, 51771, 51696, 52158, 51696, 63151, 50880, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 54990, 50936, 53293, 52208, 55743, 52208, 54410, 52208, 58086, 52208, 59767, 50811, 59613, 50811, 51674, 50840, 53028, 54658, 63151, 50880, 52969, 50879, 55841, 50811, 59449, 50811, 51229, 50840, 51694, 73028, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 52587, 53417, 50880, 54544, 51226, 59767, 50811, 59613, 50811, 51229, 52444, 52632, 55855, 73028, 68478, 50811, 57389, 52940, 52632, 50879, 51577, 51225, 50880, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 52645, 57321, 73028, 52969, 51016, 59767, 50811, 59613, 50811, 51229, 54663, 51758, 55855, 73028, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 64766, 51013, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 63151, 50880, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 53435, 54686, 53435, 54464, 53435, 56704, 53435, 58498, 50811, 60187, 50811, 51229, 50836, 51039, 50880, 55841, 50811, 59449, 50811, 51229, 64783, 56647, 50887, 51694, 73028, 54799, 50896, 63811, 50811, 59470, 79160, 50890, 54503, 50809, 51361, 50880, 55841, 50811, 59449, 59009, 53149, 55122, 52632, 55855, 73028, 53141, 50806, 67061, 50811, 59016, 52940, 52645, 55855, 73028, 56267, 50936, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 51758, 57321, 73028, 53141, 50806, 58498, 50811, 60187, 79160, 68065, 56216, 54647, 52587, 51364, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 63151, 50880, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 69631, 51021, 53293, 52208, 55743, 52208, 54410, 52208, 58086, 52208, 59767, 50811, 59613, 50811, 51674, 50840, 53028, 54658, 63151, 50880, 59245, 50806, 55841, 50811, 59449, 50811, 51229, 50840, 51694, 73028, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 52587, 53417, 50880, 54799, 51235, 59767, 50811, 59613, 50811, 51229, 52444, 52632, 55855, 73028, 68478, 50811, 57389, 52940, 52632, 50879, 51577, 51225, 50880, 54990, 50983, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 52645, 50879, 52951, 51016, 52003, 51016, 52647, 51016, 51771, 62909, 73028, 59767, 50811, 59613, 50811, 51229, 54663, 51758, 55855, 73028, 63811, 50811, 59470 ]
[ 0, 250, 19448, 5175, 19834, 4246, 41, 21979, 8669, 483, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 18558, 6, 8, 31391, 1672, 9590, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 10686, 13, 822, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 230, 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 ]	[ 54458, 61627, 51164, 50918, 50885, 51036, 50872, 51036, 50850, 62641, 52728, 50939, 50807, 61281, 71365, 52910, 50847, 52424, 51171, 50918, 50946, 51161, 50872, 51918, 50848, 51798, 50872, 50918, 57732, 59492, 50939, 53182, 50988, 51646, 50885, 57172, 51605, 50872, 51605, 50939, 51918, 74233, 50939, 51161, 57732, 57345, 53160, 50795, 51149, 51646, 51332, 55990, 50918, 50939, 50918, 51257, 51918, 51332, 50795, 51149, 51798, 51171, 56528, 51923, 51217, 50795, 56696, 59008, 50918, 50872, 51161, 50850, 51161, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 50909, 51370, 53031, 51007, 52152, 57481, 51217, 50918, 68456, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 60930, 56663, 50885, 70113, 63474, 51949, 55223, 50832, 52579, 50872, 59331, 51007, 52959, 51004, 58282, 50918, 51181, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 50872, 59331, 51007, 52959, 57395, 60945, 50885, 57858, 55541, 53305, 52223, 54203, 51332, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 54704, 50847, 51820, 50872, 57068, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50868, 57429, 53600, 60078, 50903, 51693, 74015, 50918, 50848, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50872, 64700, 64276, 51370, 53031, 50909, 51370, 54203, 51688, 77560, 50983, 75707, 51007, 50795, 51844, 51127, 52033, 51447, 51656, 51447, 51711, 51447, 52225, 51447, 53215, 50918, 54643, 52616, 51149, 52959, 51258, 51955, 51130, 51949, 55223, 50832, 52579, 50872, 51358, 50939, 51358, 51007, 51358, 51257, 51358, 59526, 74491, 50807, 54311, 50943, 51881, 51447, 51615, 51447, 51863, 51447, 51838, 51447, 52776, 53305, 51406, 58010, 57395, 51688, 50795, 51844, 50873, 53215, 51370, 53031, 52021, 50795, 51727, 50873, 52602, 51650, 52465, 54203, 51332, 55787, 55599, 77179, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 52616, 51007, 51370, 56663, 51171, 50795, 56696, 51181, 50873, 52371, 57429, 51130, 54781, 50903, 53556, 51217, 55599, 50795, 51374, 50873, 52830, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 55541, 50918, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 50909, 51370, 53031, 51257, 52152, 57481, 51217, 77560, 71365, 50918, 51149, 50807, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 60930, 56663, 50909, 58785, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 50848, 50918, 50872, 71365, 50918, 51007, 50807, 51181, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 58010, 57395, 51007, 50807, 51468, 53782, 52223, 54203, 51332, 71365, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 52616, 50872, 51370, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50946, 57429, 53600, 60078, 50903, 51693, 69768, 50918, 50988, 50918, 51857, 51127, 51743, 51671, 51615, 51671, 52187, 51671, 52036, 51671, 54333, 50918, 52455, 58010, 57395, 60945, 50848, 51370, 54203, 53160, 50918, 51042, 50983, 50872, 50795, 54311, 51127, 52776, 50918, 54643, 52616, 50847, 51370, 56663, 50850, 57429, 51130, 51949, 55223, 50832, 52579, 51037, 51605, 50868, 50983, 50847, 51605, 51863, 51445, 51711, 51445, 52225, 51445, 52735, 76914, 51331, 50923, 57732, 50807, 51338, 50943, 52143, 50807, 51039, 57395, 51171, 56378, 50807, 51181, 50943, 52371, 50807, 51468, 53782, 52465, 54203, 51217, 57680, 50807, 51374, 50943, 52830, 53305, 51437, 60930, 56663, 51332, 65333, 55787, 55541, 70286, 50943, 52143, 58785, 51130, 54781, 50903, 53556, 50939, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 50918, 68456, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 68456, 60945, 50852, 57481, 51217, 77560, 71365, 50918, 51007, 50795, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 52616, 50909, 56958, 56663, 51007, 58785, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 50848, 50918, 50872, 71365, 65961, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 50847, 52959, 57395, 60945, 50850, 52218, 52223, 59817, 50847, 51724, 51332, 50918, 50872, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 52616, 50946, 51370, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50946, 57429, 53600, 60078, 50903, 51693, 74015, 50918, 50848, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50872, 64700, 64276, 51370, 53031, 50909, 51370, 54203, 51688, 77560, 50983, 75707, 51007, 50795, 51844, 51127, 52033, 51447, 51656, 51447, 51711, 51447, 52225, 51447, 53215, 50918, 54643, 52616, 51149, 52959, 51258, 51955, 51130, 51949, 55223, 50832, 52579, 50872, 51358, 50939, 51358, 51007, 51358, 51257, 51358, 59526, 74491, 50807, 54311, 50943, 51881, 51447, 51615, 51447, 51863, 51447, 51838, 51447, 52776, 53305, 51406, 58010, 57395, 51688, 50795, 51844, 50873, 53215, 51370, 53031, 52021, 50795, 51727, 50873, 52602, 51650, 52465, 54203, 51332, 50807, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 60930, 56663, 51171, 55914, 50939, 77179, 51181, 50873, 52371, 57429, 51130, 54781, 50903, 53556, 51217, 60613, 51374, 50873, 52830, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 50918, 68456, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 51257, 50807, 60945, 50852, 57481, 51217, 77560, 71365, 50918, 59792, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 52616, 50909, 57068, 51258, 51955, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 74024, 79274, 75707, 51007, 65961, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 51007, 52959, 57395, 60945, 74233, 79274, 50850, 60314, 52223, 54203, 51332, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 60930, 56663, 50850, 57429, 51130, 54781, 50903, 53556, 53449, 50903, 53600, 60078, 50903, 51693, 74015, 50918, 51037, 50918, 50848, 50918, 50872, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50850, 50807, 51468, 51361, 54203, 51332, 65333, 76481, 51338, 50943, 51711, 51965, 51863, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51406, 60930, 56663, 51332, 50807, 53449, 51338, 50943, 52143, 58785, 51130, 51949, 55223, 50832, 52579, 50946, 51358, 50885, 51358, 50872, 51358, 52133, 52015, 51743, 52015, 51656, 52015, 51711, 52015, 50801, 51331, 50923, 50799, 53845, 50983, 58154, 51218, 52907, 50983, 51039, 57395, 60945, 53845, 50795, 58154, 50873, 52907, 51650, 52465, 54203, 51332, 68600, 68456, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 60930, 56663, 51332, 76481, 50939, 50807, 51338, 50943, 52143, 58785, 51130, 54781, 50903, 53556, 50903, 53600, 60078, 50903, 51693, 59008, 57858, 50983, 50850, 53006 ]
[ 0, 250, 765, 37903, 9, 5175, 15855, 930, 11, 12608, 3694, 6, 4246, 10, 2933, 8, 20425, 6711, 4, 85, 34, 10, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 881, 21263, 9, 5, 33215, 13931, 12608, 119, 6, 163, 428, 6, 12608, 119, 6, 8, 163, 428, 406, 73, 495, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51081, 52410, 51086, 52038, 51081, 52030, 51086, 52125, 51220, 52313, 51086, 52175, 51220, 52325, 51147, 50802, 58526, 52410, 51147, 52038, 51176, 52030, 51147, 52125, 51176, 52313, 51081, 52175, 51176, 52325, 51399, 50802, 60820, 52410, 50956, 52038, 51081, 52030, 50956, 52125, 51399, 52313, 50956, 52175, 51399, 52325, 51081, 50802, 56178, 52410, 51081, 52038, 50956, 52030, 51081, 52125, 50956, 52313, 51399, 52175, 50956, 52325, 51405, 50802, 60820, 52410, 51086, 52038, 51081, 52030, 51086, 52125, 51220, 52313, 51086, 52175, 51220, 52325, 51399, 50802, 58526, 52410, 51399, 52038, 51176, 52030, 51220, 52125, 51176, 52313, 51220, 52175, 51176, 52325, 51220, 50802, 60820, 52410, 50956, 52038, 51081, 52030, 50956, 52125, 51399, 52313, 50956, 52175, 51399, 52325, 51405, 50802, 57346, 52410, 51405, 52038, 51040, 52030, 51405, 52125, 51040, 52313, 51787, 52175, 51040, 52325, 52128, 50802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3366, 219, 5175, 25771, 2214, 19, 10, 980, 219, 8, 15352, 30054, 16464, 6, 4246, 38668, 18569, 6, 21072, 6, 8, 10, 38668, 9590, 4, 20, 1349, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 6, 19, 5, 40286, 274, 8, 163, 428, 73, 597, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 50456, 52293, 54792, 56558, 50809, 50799, 52999, 53834, 76299, 50387, 55550, 50387, 53692, 57188, 52293, 50849, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 66720, 52999, 55732, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 66720, 55526, 50849, 52556, 53834, 51589, 54434, 54913, 50849, 52020, 50849, 71950, 58426, 50873, 51874, 57652, 51370, 54509, 50689, 50270, 50873, 52505, 50873, 52558, 50799, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 56910, 51589, 55105, 52293, 50849, 75445, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 67450, 52201, 54342, 52293, 50849, 66720, 52999, 50849, 52509, 51013, 52754, 51013, 54464, 56910, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53298, 51013, 53514, 51013, 55743, 51013, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 53514, 50879, 53293, 50879, 54464, 50879, 51190, 54936, 55149, 52999, 50849, 53514, 50879, 53293, 50879, 54464, 53417, 50905, 51553, 56210, 52293, 50849, 53514, 50879, 51190, 53823, 58361, 51224, 50882, 50799, 52999, 50849, 51190, 53183, 55446, 52293, 50849, 53514, 51013, 53293, 51013, 54464, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50879, 53293, 50879, 54464, 50879, 66720, 52999, 50849, 52509, 50879, 52754, 50879, 54464, 54523, 51589, 54434, 52293, 50849, 52509, 50879, 52754, 50879, 54464, 50879, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 51013, 66720, 55526, 50849, 52556, 53834, 51589, 54434, 54913, 50849, 52020, 50849, 53514, 51013, 53293, 51013, 54464, 51013, 71950, 58426, 50873, 51874, 57652, 51370, 54509, 50689, 50270, 50873, 52505, 50873, 53514, 50879, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 75445, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 67450, 52201, 54342, 52293, 50849, 66720, 52999, 50849, 52509, 51013, 52754, 51013, 54464, 56910, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50807, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 71950, 52999, 54792, 51370, 54509, 52293, 50849, 53514, 51370, 50867, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50795, 53293, 50795, 54464, 51370, 54077, 52999, 50849, 76117, 52754, 50795, 54464, 51428, 51589, 54434, 52293, 50873, 76117, 52754, 50795, 54464, 51370, 54185, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50807, 66720, 52999, 50849, 52293, 53834, 55629, 56448, 76428, 52060, 61173, 52060, 61285, 52060, 54758, 52999, 50849, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 51190, 56448, 61794, 52060, 56518, 52060, 59433, 52060, 54208, 54916, 50873, 53178, 57652, 51370, 50905, 52060, 62161, 51553, 60754, 51553, 64461, 51553, 54232, 54916, 50873, 53178, 50873, 51190, 54936, 62309, 51553, 54655, 51553, 59496, 51553, 50836, 50799, 54913, 50873, 53298, 50807, 53514, 50807, 53293, 52221, 55629, 54936, 63137, 53213, 52020, 50873, 75445, 54913, 50873, 53298, 50807, 53514, 50807, 53293, 53030, 52201, 54342, 52020, 50873, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 52221, 50901, 71950, 54913, 55732, 57353, 52201, 54509, 52020, 50873, 53298, 52152, 50893, 50799, 54913, 50873, 53298, 50795, 53293, 50795, 54464, 51428, 51589, 55105, 52020, 50873, 53298, 50807, 53293, 50807, 54464, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 71950, 54913, 57652, 51370, 54509, 52020, 50873, 53298, 51370, 50867, 50799, 54913, 55732, 51589, 55105, 52020, 50873, 53298, 50807, 53514, 50807, 53293, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 51370, 54077, 54913, 50873, 53298, 50795, 52754, 50795, 53619, 51428, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 71950, 54913, 57652, 52201, 54509, 52020, 50873, 53298, 51370, 50867, 50799, 54913, 50873, 53298, 50795, 53293, 50795, 54464, 51428, 50833, 52558, 50420, 52020, 50873, 53298, 50807, 53293, 50807, 54464, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 51190, 54936, 57740, 51553, 59673, 51553, 54255, 51553, 63865, 51553, 57868, 51553, 53409, 54913, 57652, 51370, 50905, 51553, 59682, 51553, 54418, 52020, 50873, 53298, 50795, 52754, 50795, 53619, 50795, 51190, 53823, 57264, 51224, 50859, 50799, 52999, 55732, 55629, 53183, 51012, 51769, 65061, 52293, 50873, 53514, 50807, 53293, 50807, 54464, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50795, 53293, 50795, 54464, 51370, 54077, 52999, 50873, 52509, 50807, 52754, 50807, 54464, 52221, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50807, 66720, 52999, 55732, 51589, 54434, 52293, 50873, 53514, 50807, 53293, 50807, 54464, 50807, 71950, 52999, 57652, 51370, 54509, 52293, 50873, 53514, 51370, 50867, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 75445, 52999, 50873, 53514, 50807, 53293, 50807, 54464, 53030, 52201, 54342, 52293, 50873, 66720, 52999, 50873, 52509, 50807, 52754, 50807, 54464, 52221, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 51370, 54077, 52999, 50849, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 52221, 55629, 54936, 57972, 51553, 64562, 51553, 55218, 51553, 59117, 51553, 58431, 51553, 53885, 52999, 50849, 52293, 50849, 51190, 54936, 56160, 54916, 50873, 53178, 57652, 51370, 50905, 51553, 59574, 51456, 54403, 54916, 50873, 53178, 50873, 51190, 53120, 58361, 51326 ]
[ 0, 250, 2635, 8, 19448, 5175, 25771, 2214, 4246, 10, 13305, 8, 41, 6168, 3540, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 226, 22740, 20889, 9, 654, 13410, 228, 2289, 6, 2351, 10, 23975, 8, 2829, 2933, 5466, 19, 15352, 30054, 4785, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50447, 54258, 50821, 54258, 50821, 63767, 50821, 63767, 50821, 77432, 50821, 77432, 53153, 54258, 51160, 54258, 51160, 63767, 51160, 63767, 51160, 77432, 51160, 77432, 51160, 50459, 54050, 50821, 54050, 50821, 59849, 50821, 59849, 50821, 65358, 50821, 65358, 50821, 76759, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 50980, 55677, 51469, 50426, 52745, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56158, 51774, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56812, 52557, 50980, 54258, 50980, 54258, 50980, 63767, 50980, 63767, 50980, 77432, 50980, 77432, 50980, 78320, 50806, 52257, 50806, 52257, 50806, 58795, 50806, 58795, 50806, 63767, 50806, 63767, 50806, 55677, 69033, 52557, 50806, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 50806, 59849, 50806, 59849, 52247, 52769, 50806, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 52309, 52557, 50806, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 50806, 59849, 50806, 59849, 52322, 52027, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56812, 52557, 50980, 50799, 72840, 50980, 55677, 50980, 52257, 50980, 52257, 50980, 63767, 50980, 63767, 56003, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 50806, 52557, 50980, 52027, 50980, 51434, 56925, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52322, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 50806, 57848, 50980, 52769, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52603, 50806, 52603, 50806, 58795, 50806, 58795, 50806, 52557, 50980, 52027, 50980, 51434, 57175, 52327, 50806, 52327, 50806, 59849, 50806, 59849, 50806, 50799, 57117, 50806, 52557, 50806, 52257, 51196, 52257, 51196, 63767, 51196, 63767, 62002, 58748, 50806, 52745, 52247, 54437, 50806, 51774, 52309, 56922, 50806, 52435, 52322, 53722, 50806, 51614, 50806, 54258, 50806, 54258, 50806, 59849, 50806, 59849, 52692, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 52610, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 52931, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 50806, 50799, 57117, 50980, 52557, 50980, 52327, 51285, 52327, 51285, 59849, 51285, 59849, 68542, 52557, 51160, 51614, 51160, 51929, 71832, 52557, 50821, 51614, 50821, 51929, 52877, 52557, 50980, 51614, 50980, 51929, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 50806, 53722, 57175, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 50806, 50799, 55677, 50980, 52257, 51285, 52257, 51285, 63767, 51285, 63767, 68542, 52557, 51160, 52027, 51160, 51434, 71832, 52557, 50821, 52027, 50821, 51434, 52877, 52557, 50980, 52027, 50980, 51434, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52769, 50806, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 52931, 54632, 50806, 54050, 50806, 54050, 50806, 65358, 50806, 65358, 50806, 50799, 57117, 50980, 52557, 50980, 52257, 51196, 63767, 63492, 52557, 50980, 52027, 50980, 51434, 50980, 54258, 50980, 58795, 56158, 57117, 50980, 52557, 50980, 52327, 51196, 59849, 69562, 54632, 50980, 51614, 50980, 51515, 50980, 51929, 50980, 54258, 50980, 54910, 50980, 51057, 52027, 50980, 51434, 50980, 52603, 50980, 52603, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 51057, 53042, 50806, 55677, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50896, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52203, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 53042, 50806, 52769, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50980, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50806, 55677, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52774, 52203, 50806, 52769, 50806, 52557, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52247, 52849, 50806, 57117, 50806, 52257, 50806, 52257, 50806, 54258, 50806, 54258, 52309, 52849, 50806, 52769, 50806, 52557, 50806, 52257, 50806, 52257, 50806, 54258, 50806, 54258, 50806, 51057, 52203, 50896, 55677, 50806, 52603, 50980, 52603, 50980, 52257, 50980, 52257, 59217, 52769, 50806, 52557, 52247, 52203, 50806, 52769, 50806, 52557, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52309, 52769, 50806, 52557, 50806, 51057, 52203, 50806, 54437, 50806, 51774, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52774, 52203, 50806, 52769, 50806, 51774, 50806, 52027, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52247, 53042, 50806, 53369, 50806, 51607, 50806, 51607, 50806, 52603, 50806, 52603, 52309, 52307, 50806, 52806, 50806, 51774, 50806, 52027, 50806, 51607, 50806, 51607, 50806, 52327, 50806, 52327, 50806, 51057, 52307, 50980, 57117, 50806, 52557, 50806, 51773, 50980, 51773, 50980, 51669, 50980, 51669, 50980, 52327, 50980, 52327, 59217, 54632, 52247, 52769, 52309, 53369, 50806, 51057, 53042, 50806, 55677, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50896, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52203, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 53042, 50806, 52769, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50980, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50806, 52027, 50806, 52257, 50806, 52257, 50806, 52027, 50980, 51607, 50980, 51607, 59217, 52203, 50806, 51440, 50806, 52257, 50806, 52257, 52247, 52614, 50806, 51614, 50806, 52807, 50806, 52807, 50806, 51614, 50980, 52603, 50980, 52603, 56925, 52203, 50806, 52027, 50806, 51440, 50806, 52257, 50806, 52257, 50806, 51057, 52307, 50896, 51614, 50806, 51614, 50980, 51669, 50980, 51669, 50980, 52327, 51274 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3152, 15229, 6, 42, 8787, 2125, 16, 278, 11, 381, 3694, 8, 11498, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 8, 2382, 3459, 8669, 483, 5, 169, 6, 2800, 30, 5, 25115, 32343, 9, 38668, 22052, 8, 10, 697, 6755, 12547, 6, 150, 5, 21072, 694, 10, 5204, 41063, 15796, 4811, 4, 20, 33215, 16739, 9, 83, 6, 3676, 6, 211, 6, 163, 119, 6, 8, 272, 31473, 7, 5, 2214, 18, 33558, 8, 9066, 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 ]	[ 54458, 50456, 60189, 51541, 57731, 59456, 50893, 50428, 60544, 50889, 50439, 60189, 51345, 50449, 73365, 58448, 51472, 54708, 51056, 52978, 51073, 59811, 50829, 53722, 50905, 51614, 50838, 51944, 50845, 51440, 50845, 51669, 50901, 79147, 51448, 61372, 51448, 52016, 51115, 52582, 51448, 51701, 51115, 52009, 51115, 50460, 50843, 52291, 60628, 50841, 52177, 50843, 53495, 58640, 51069, 50896, 60189, 51204, 56531, 51346, 54033, 51112, 61305, 50863, 56090, 50838, 52806, 50974, 51440, 50849, 51607, 51101, 52043, 51233, 75154, 51233, 52091, 51101, 51701, 51423, 51716, 51412, 58932, 53762, 54114, 50843, 53107, 65454, 57205, 51541, 63678, 62476, 50843, 53495, 58136, 54991, 60189, 52732, 53495, 50908, 51809, 58448, 50807, 66200, 63740, 53855, 57205, 66739, 53107, 53962, 50843, 52291, 59445, 50927, 51226, 62672, 52195, 54708, 51056, 52978, 51112, 66200, 50863, 53722, 50974, 51614, 50978, 51944, 50845, 51440, 50866, 51669, 50873, 79147, 51878, 61372, 51397, 52016, 51218, 52582, 51397, 51701, 51397, 52009, 51115, 59341, 53995, 50908, 50452, 50843, 53495, 63343, 50945, 51226, 57205, 51291, 53143, 51400, 52798, 51294, 66200, 50870, 58933, 51337, 53369, 51043, 51515, 51100, 51440, 51110, 51607, 51255, 66451, 51312, 51821, 51255, 51701, 51400, 51716, 50915, 50796, 52399, 52499, 60628, 50839, 59915, 53495, 62618, 66200, 61193, 58599, 51742, 54268, 53995, 64807, 50843, 53495, 69232, 66200, 50891, 50799, 58578, 77776, 52499, 67945, 50843, 53495, 62184, 69276, 62134, 51417, 54764, 51167, 59811, 50829, 50656, 50284, 54143, 55243, 53487, 51434, 53259, 51808, 53363, 52043, 53753, 51815, 51359, 50701, 50284, 55408, 67348, 53295, 52091, 55428, 51678, 53295, 52252, 53295, 52295, 55277, 50434, 50843, 52291, 60628, 50841, 51089, 51894, 50440, 50843, 53495, 53384, 62157, 51097, 50445, 51205, 51377, 55142, 50879, 61305, 50371, 52617, 68127, 51452, 50455, 51019, 51178, 67620, 51749, 54148, 59964, 53762, 77430, 50895, 51208, 51417, 50460, 50843, 53107, 50908, 52478, 63678, 68713, 62157, 51380, 50428, 50843, 53495, 58136, 58685, 50843, 53495, 52958, 62134, 51423, 66200, 63740, 63865, 62134, 51411, 67346, 53107, 65496, 50843, 52291, 56013, 50953, 51346, 62134, 52335, 52876, 51345, 66200, 50863, 57848, 51679, 52769, 51283, 51434, 51189, 51808, 51310, 51669, 51477, 52257, 51283, 51401, 51307, 63995, 52062, 51678, 52062, 52252, 52062, 52009, 52222, 56020, 50843, 53995, 50908, 51083, 51714, 50427, 50843, 53495, 53814, 50927, 51345, 52978, 51100, 66200, 50370, 52617, 50895, 51020, 51692, 50442, 50953, 51178, 52837, 51111, 50843, 52499, 60628, 79914, 50895, 51208, 51183, 78847, 53495, 58207, 60189, 51141, 66200, 50863, 51601, 50843, 53995, 62589, 59456, 51111, 50843, 53495, 52966, 60544, 51157, 66200, 63122, 60189, 63590, 52499, 50908, 63262, 53495, 55721, 50927, 51162, 58448, 51291, 54708, 51377, 52978, 51073, 59811, 50829, 53722, 51277, 51614, 51277, 51944, 51242, 51440, 51242, 51669, 51043, 79147, 51448, 61372, 51448, 52016, 51295, 52582, 51448, 51701, 51397, 52009, 51448, 50457, 50843, 52291, 60628, 50841, 55986, 53495, 53738, 51069, 51377, 60189, 51091, 56531, 51346, 54033, 51112, 61305, 50863, 56090, 51753, 52806, 51337, 51440, 51043, 51607, 51194, 52043, 51363, 75154, 51484, 52091, 51194, 51701, 51203, 51716, 51411, 50430, 50843, 53762, 55762, 50843, 53107, 50908, 50440, 57205, 51294, 63678, 69232, 50843, 53495, 58136, 52920, 60189, 55185, 53495, 59119, 58448, 50807, 66200, 63740, 50846, 60212, 57205, 66739, 53107, 50928, 53764, 52291, 63795, 50927, 50889, 62672, 51291, 54708, 50943, 52978, 51112, 66200, 50863, 53722, 51006, 51614, 51006, 51944, 50892, 51440, 50978, 51669, 50892, 79147, 51145, 61372, 51627, 52016, 51115, 52582, 51535, 51701, 51397, 52009, 51535, 54032, 53995, 53166, 50843, 53495, 64360, 50945, 51055, 57205, 50918, 53143, 51400, 52798, 51294, 66200, 50870, 58933, 51423, 53369, 51337, 51515, 51233, 51440, 51203, 51607, 51480, 66451, 50932, 51821, 51377, 51701, 51003, 51716, 51134, 52177, 50843, 52499, 60628, 58235, 50843, 53495, 74031, 66200, 56609, 58599, 51134, 57315, 53995, 68211, 55635, 51328, 50843, 53495, 63612, 66200, 57855, 58599, 51775, 50458, 58578, 50981, 55975, 52499, 50908, 51809, 50843, 53495, 60776, 51019, 51285, 62134, 51115, 54764, 51167, 53752, 52755, 50829, 55243, 51965, 51660, 51381, 51434, 51562, 51808, 51535, 52043, 51627, 51815, 51036, 50701, 50284, 55277, 67348, 55277, 52091, 55428, 51678, 55277, 52252, 55277, 52295, 55277, 58932, 72340, 51089, 52069, 50437, 50843, 53495, 67387, 62157, 50981, 55142, 50879, 57653, 52532, 73175, 51422, 50452, 51019, 51364, 67620, 51448, 54148, 54523, 52141, 53762, 50928, 51208, 51397, 68674, 53107, 50908, 51601, 63678, 59509, 51205, 51797, 62157, 63575, 53434, 53495, 60628, 59508, 50843, 53495, 55813, 62134, 51337, 50436, 51019, 51157, 59491, 52535, 58394, 51213, 51227, 62134, 51400, 50843, 53107, 78014, 50843, 52291, 63917, 50953, 51336, 62134, 51445, 52876, 51238, 53804, 52535, 50863, 57848, 51080, 52769, 51148, 51434, 51183, 51808, 51148, 51669, 51148, 52257, 51244, 51401, 51353, 63995, 56235, 51678, 55116, 52252, 58643, 52009, 55277, 53069, 50843, 53995, 50368, 51765, 50839, 51083, 52069, 73535, 53495, 65973, 52978, 51100, 64892, 52535, 50870, 51020, 51452, 50440, 50953, 51472, 52837, 65764, 53833, 52499, 50928, 51208, 51562, 50445, 59456, 63342, 53495, 63612, 56601, 52848, 60189, 51346, 51266, 51534, 66200, 57243, 50927, 51346, 58448, 51346, 51107, 51411, 50798, 53833, 77163, 52478, 50843, 53495, 54951, 50953, 51203, 60189, 50889, 51266, 50981, 55722, 52535, 70365, 57535, 50927, 51043, 59456, 51048, 51284, 50981, 63014, 52499, 64481, 50843, 53495, 53384, 51019, 51196, 65256, 51291, 54764, 51167, 51558, 51627, 53752, 52755, 50829, 55243, 53849, 51660, 53413, 51434, 53454, 51808, 53082, 52043, 53478, 51815, 53259, 67348, 55277, 52091, 55408, 51678, 55277, 52252, 55116, 52295, 55482, 50454, 50843, 72340, 51089, 51307, 50460, 50843, 53495, 50891, 52177, 63912, 51048, 55142, 50879, 51384, 51411, 57653, 52532, 73175, 51486, 50427, 51019, 51189, 67261, 51446, 54148, 50879, 51733, 77005, 52141, 53762, 50928, 51208, 51413, 58932, 53107, 52958, 63678, 63612, 51019, 51346, 63912, 50889, 51384, 56203, 53434, 53495, 60628, 50834, 54710, 53495, 63343, 51205, 51025, 60891, 51446, 51304, 51627, 59491, 52535, 50863, 55753, 51019, 76985, 53107, 53098, 50843, 52291, 66284, 51069, 51215, 59456, 52500, 54033, 51110, 51284, 54035, 50846, 56090, 51423, 52806, 51309, 51440, 51101, 51607, 51194, 52043, 51233, 51282, 51194, 51023, 51100, 51092, 51060, 51403, 51100, 52110, 51101, 75154, 51677, 52091, 51742, 51701, 51452, 51716, 51677, 50452, 51069, 51111, 54033, 50806, 51284, 51233, 52428, 52617, 50846, 56090, 51242, 52806, 51337, 51440, 51255, 51607, 51255, 52043, 51124, 51282, 51178, 51023, 51116, 51092, 50967, 51403, 51215, 52110, 51043, 53285, 51212, 54033, 51215, 51284, 55998, 51276, 50608, 50818, 56090, 51051, 52806, 50933, 51440, 50959, 51607, 50978, 52043, 50978, 51282, 73753, 50845, 51092, 50845, 51403, 50873, 52110, 51328, 50435, 52235, 51025, 50446, 52235, 51400, 50456, 53085, 51025, 53069, 51971, 51562, 51069, 51215, 53752, 50828, 56090, 52015, 52806, 51592, 51660, 51677, 51440, 51422, 51607, 51662, 51282 ]
[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 36075, 8669, 6, 21072, 6, 3152, 6757, 6, 228, 438, 4781, 2088, 6757, 6, 8, 12280, 3275, 1725, 3109, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 6, 19, 5, 33215, 16739, 9, 274, 401, 6, 230, 6, 8, 272, 16331, 1328, 5, 2125, 6, 8216, 7, 63, 1372, 8, 1313, 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 ]	[ 54458, 61163, 55198, 50776, 50314, 53501, 51155, 54484, 51046, 51717, 62273, 64218, 50870, 54245, 60685, 54245, 75549, 53899, 51287, 51459, 50870, 54245, 53906, 69386, 54245, 53911, 50843, 58586, 50870, 54245, 50854, 51556, 50820, 54245, 62079, 51190, 51459, 50870, 54245, 50854, 65947, 54245, 50854, 51618, 76397, 56663, 51782, 51459, 50870, 54245, 50854, 51647, 50928, 54245, 50854, 51453, 64218, 50908, 54245, 58223, 51190, 51459, 51129, 50799, 51782, 51459, 50870, 54245, 60685, 54245, 75549, 62827, 64024, 51287, 51459, 50870, 54245, 53906, 73554, 54245, 57544, 51587, 51258, 50430, 52547, 53917, 50843, 58586, 50870, 54245, 56529, 63609, 54245, 68412, 52547, 55381, 51758, 50896, 51222, 51016, 51587, 51129, 54517, 58666, 51190, 51459, 50870, 54517, 70532, 52471, 51653, 50444, 54517, 50854, 51618, 76397, 55038, 52587, 50896, 51386, 51013, 51340, 51459, 50870, 54904, 50854, 51647, 50928, 54904, 54424, 78154, 50870, 54904, 58223, 51190, 51459, 51129, 61163, 56082, 51155, 56736, 51046, 53295, 62273, 58586, 50870, 54245, 60685, 54245, 72250, 52547, 50882, 51039, 50837, 51510, 64218, 50870, 54245, 65599, 52547, 56519, 73554, 54245, 57544, 51587, 51258, 50430, 52471, 50993, 58932, 58586, 50870, 54245, 50854, 51556, 50820, 54245, 62079, 51190, 51459, 50870, 54245, 54746, 54245, 50854, 51618, 76397, 56663, 51782, 51459, 50870, 54245, 50854, 51647, 50928, 54245, 50854, 51453, 64218, 50908, 54245, 58223, 51190, 51459, 51129, 50799, 51782, 51459, 50870, 54245, 50854, 51402, 50982, 54245, 75549, 58586, 51129, 51510, 61988, 50870, 54245, 50854, 51544, 50820, 54245, 57544, 78154, 51258, 51361, 58064, 50870, 54245, 50854, 51556, 50818, 54245, 54181, 51758, 51016, 51587, 51129, 54517, 50851, 50770, 50273, 51054, 50441, 51190, 51459, 50870, 54517, 54746, 54517, 50854, 51618, 76397, 55038, 52587, 51073, 56319, 56921, 50870, 54904, 50854, 51647, 50928, 54904, 54424, 78154, 50870, 54904, 58223, 51190, 51459, 51129, 61163, 55198, 51155, 54484, 51046, 51717, 51622, 52250, 61401, 59805, 50870, 54245, 60685, 54245, 75549, 53899, 51587, 50870, 54245, 53906, 52321, 50818, 54245, 50854, 51361, 61988, 50870, 54245, 56529, 54245, 50854, 70960, 55201, 51587, 50870, 54245, 50854, 51180, 50870, 54245, 56888, 51587, 56663, 52321, 58906, 50870, 54245, 57622, 54245, 50854, 51453, 61988, 50908, 54245, 58223, 51587, 51129, 51755, 51139, 59520, 50870, 79151, 53501, 54245, 60685, 54245, 75549, 61988, 64024, 51587, 50870, 54245, 53906, 52321, 50846, 54245, 57544, 51587, 51258, 50430, 52547, 50882, 51361, 61988, 50870, 54245, 56529, 54245, 68412, 52547, 55381, 51758, 50896, 51222, 51016, 52321, 58906, 51129, 54517, 58666, 51587, 50870, 54517, 70532, 52471, 51653, 51180, 50870, 54517, 56888, 51587, 55038, 52587, 50896, 51386, 51013, 52321, 58906, 50870, 54904, 57622, 54904, 50854, 51453, 61988, 50870, 54904, 58223, 51587, 51129, 61163, 56082, 51155, 54484, 51046, 51717, 51075, 52821, 52321, 55274, 50870, 54245, 60685, 54245, 72250, 52547, 50882, 51039, 53899, 51587, 50870, 54245, 65599, 52547, 56519, 52321, 50818, 54245, 57544, 51587, 51258, 50430, 52471, 50993, 51361, 61988, 50870, 54245, 56529, 54245, 50854, 70960, 55201, 51587, 50870, 54245, 50854, 51180, 50870, 54245, 56888, 51587, 56663, 52321, 58906, 50870, 54245, 57622, 54245, 54424, 58413, 61988, 50908, 54245, 50874, 53206, 63292, 51129, 51755, 53989, 51041, 59520, 50870, 54245, 60685, 50816, 50870, 54245, 75549, 50371, 52388, 58064, 64024, 50816, 76397, 50870, 54245, 53906, 58809, 52465, 50846, 54245, 57544, 51224, 58250, 57617, 50816, 52465, 61988, 50870, 54245, 56529, 79831, 54245, 54181, 51758, 51016, 51222, 51013, 51935, 52082, 51437, 58906, 51129, 54517, 50851, 53525, 76397, 50870, 54517, 54746, 50816, 52223, 50870, 54517, 56888, 50816, 61682, 55038, 52587, 51073, 51386, 51013, 58809, 51139, 58906, 50870, 54904, 50854, 54706, 50891, 54904, 54424, 58413, 61988, 50870, 54904, 50874, 53206, 64678, 51129, 61163, 51427, 52364, 50806, 51262, 51043, 51355, 51043, 51630, 51363, 61401, 59805, 53738, 52673, 50873, 51288, 50812, 68135, 51075, 50887, 52292, 50890, 52242, 51559, 53899, 52660, 50948, 51262, 50837, 74746, 52573, 54352, 58064, 52966, 52364, 51112, 54680, 54013, 52292, 53644, 52660, 50924, 51262, 51351, 51355, 51241, 51630, 51134, 51046, 51103, 75257, 51288, 55755, 51750, 61988, 53115, 52660, 51173, 52364, 51227, 52292, 50890, 52242, 53309, 51179, 54905, 52573, 53743, 52573, 54109, 51239, 54914, 52573, 51178, 52292, 51100, 52242, 72326, 52660, 50936, 52364, 52504, 51139, 53173, 52887, 50893, 52673, 50805, 52573, 50855, 52242, 50855, 52292, 53243, 52771, 50863, 64766, 51167, 52842, 50805, 51195, 51177, 51543, 51121, 51262, 50901, 52321, 58064, 53738, 52277, 50805, 58152, 63902, 51843, 50840, 52443, 50836, 52292, 51421, 53991, 53149, 50821, 79527, 51262, 53735, 58064, 52966, 52842, 50991, 54680, 54660, 52292, 50887, 52443, 54215, 53149, 50821, 51262, 51295, 51543, 51115, 51195, 51318, 51348, 51127, 51344, 50918, 51843, 55755, 51750, 61988, 55799, 52573, 53040, 53149, 51500, 52842, 51364, 52443, 50833, 52292, 53841, 51179, 52986, 52573, 53669, 51239, 54914, 52573, 51095, 52292, 51095, 52443, 65504, 53149, 51500, 54680, 53173, 52573, 50855, 52292, 50836, 52443, 53933, 62653, 55569, 50835, 60139, 51379, 52277, 50795, 51350, 51101, 51250, 50901, 51536, 51212, 52453, 75533, 53738, 52842, 50977, 51063, 50833, 57760, 51211, 50833, 52049, 50809, 51975, 51559, 59136, 51250, 54316, 52587, 50921, 52740, 55642, 58064, 52966, 52277, 76927, 54013, 51975, 50854, 52049, 66428, 51350, 51310, 51536, 51310, 51250, 51391, 50432, 52587, 50882, 52842, 50849, 51143, 54376, 51750, 61988, 55799, 52740, 52766, 52587, 51160, 52277, 50795, 51143, 51013, 78802, 51288, 50849, 52049, 50859, 51975, 50878, 52455, 53114, 52842, 50849, 51211, 50845, 64671, 52740, 54169, 51239, 54914, 52292, 51158, 52049, 51158, 51975, 64860, 52587, 51021, 52277, 76927, 53173, 52587, 50924, 52842, 50849, 52740, 50855, 52049, 50809, 51975, 53933, 52771, 50863, 62640, 51175, 52350, 50952, 51250, 50845, 51780, 50974, 51630, 51212, 52321, 58064, 53738, 52350, 50910, 51063, 50836, 51219, 50887, 51329, 50813, 52797, 50890, 52044, 50836, 51970, 50422, 51250, 50820, 51780, 50835, 51630, 56037, 51995, 50830, 52049, 53669, 58064, 52966, 52350, 53030, 51139, 54660, 52797, 50887, 52044, 52810, 51995, 50952, 51250, 51134, 51780, 51134, 51630, 51241, 51063, 51417, 51329, 51535, 51219, 55855, 51750, 61988, 55799, 52049, 52950, 51995, 51290, 52277, 50795, 51075, 51191, 52797, 54020, 51179, 52986, 52842, 51013, 52049, 53669, 51239, 54914, 52049, 51175, 52797, 51173, 52044, 64860, 51995, 50865, 54680, 53173, 52475, 50910, 52049, 50836, 52797, 50884, 52044, 55459, 51467, 50863, 53206, 60634, 51630, 51212, 51262, 51212, 51355, 51101, 61163, 51427, 52364, 50893, 52453, 61988, 53738, 52673, 50901, 51155, 50859, 51046, 50859, 51075, 50859, 52292, 50880, 52242, 50855, 51842, 50422, 79641, 51355, 53109, 52660, 50948, 52573, 52773, 58064, 52966, 52364, 50991, 52573, 53889, 51139, 54013, 52292, 50890, 52242, 59833, 51262, 51351, 51355, 51241, 51630, 51351, 50432, 52660, 50924, 51155, 51446, 53488, 52573, 53243, 51750, 61988, 55799, 52573, 53442, 52660, 51173, 52364, 51073, 51046, 51294, 51075 ]
[ 0, 713, 14899, 5175, 3495, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 33928, 8, 20425, 16464, 4, 20, 1076, 560, 31365, 25999, 1239, 5, 483, 6, 7513, 30, 2382, 3459, 8, 81, 9756, 29589, 6, 10, 3152, 6757, 6, 8, 10, 11577, 20535, 2810, 4, 20, 33301, 30853, 23, 41, 12447, 1001, 20889, 9, 18461, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 4246, 230, 6, 211, 119, 401, 6, 8, 2060, 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 ]	[ 56236, 50796, 50444, 51652, 50883, 51643, 50883, 52113, 50880, 51069, 54554, 51667, 50883, 51633, 50883, 51993, 50883, 51096, 54353, 51721, 50880, 51633, 50880, 53179, 50880, 51205, 50882, 51755, 52050, 52885, 51031, 51721, 52500, 52113, 52500, 52372, 52500, 71155, 52317, 54153, 52328, 51264, 52836, 53520, 54753, 54834, 51694, 51759, 50895, 50964, 60493, 50852, 52950, 50816, 55498, 50964, 52940, 69591, 65974, 51899, 51759, 51031, 50964, 52193, 69591, 69948, 56703, 51759, 51031, 51667, 50921, 51633, 50921, 51993, 50921, 52463, 51692, 52906, 50839, 51652, 50883, 51643, 50883, 52113, 50883, 50964, 50817, 51694, 51759, 51031, 51667, 50880, 51633, 50883, 51993, 50880, 50964, 52030, 50852, 50846, 51652, 50883, 51643, 50883, 52200, 53294, 58393, 51031, 50964, 52940, 63360, 51667, 50883, 51633, 50880, 51993, 50880, 72035, 51899, 55498, 51096, 55273, 60936, 50818, 51652, 53898, 51721, 53898, 52113, 53898, 70593, 52317, 51151, 52328, 51353, 52836, 51307, 54753, 51353, 51755, 52050, 51759, 51031, 73185, 52906, 50841, 50964, 50962, 51694, 51759, 51031, 50964, 59959, 50852, 53116, 58393, 50949, 50964, 52267, 62957, 71155, 51899, 51759, 54210, 50852, 50846, 69948, 56703, 51759, 50949, 52317, 51714, 51982, 51945, 52463, 51894, 50420, 50964, 50817, 51694, 55498, 50964, 54684, 69386, 50964, 52444, 58393, 51031, 50964, 52940, 63970, 50839, 51652, 50883, 51643, 50883, 52113, 50880, 60378, 51899, 51759, 51031, 51667, 50883, 51633, 50883, 51993, 50883, 51096, 55273, 62686, 50895, 52200, 50883, 53179, 50883, 70593, 56703, 52885, 50961, 51721, 51469, 52113, 51469, 52372, 51469, 65974, 52317, 51714, 52328, 51353, 52836, 51894, 54753, 51945, 50420, 50964, 50817, 51694, 55498, 50964, 54684, 71973, 50964, 52565, 50816, 55498, 50964, 52940, 56345, 71155, 51899, 51759, 55891, 56345, 69948, 56703, 51759, 50949, 51667, 50921, 51633, 50921, 51993, 50921, 52317, 51518, 51982, 51486, 52463, 51486, 52906, 50828, 50964, 50949, 51694, 51759, 50949, 51667, 50921, 51633, 50921, 51993, 50921, 50964, 54179, 69591, 51652, 50880, 51643, 50880, 52113, 50880, 50964, 53813, 50816, 55498, 50964, 52940, 56345, 51831, 50880, 51633, 50880, 72035, 51899, 51759, 51031, 51096, 52325, 62686, 50841, 51652, 51469, 51643, 51469, 52113, 51469, 72035, 52317, 51353, 51829, 50854, 52328, 51307, 52836, 51264, 54753, 51264, 56703, 55498, 65974, 52906, 50839, 65974, 51694, 51759, 51031, 50964, 60493, 50852, 53116, 58393, 51031, 50964, 52267, 73554, 57951, 51899, 51759, 50961, 50964, 52349, 62957, 50964, 51066, 56703, 51759, 50949, 51982, 51692, 52463, 51353, 55193, 51486, 52906, 50839, 50964, 50949, 51694, 51759, 51031, 50964, 59959, 50852, 53116, 58393, 50949, 50964, 52940, 63360, 60378, 51899, 55498, 68427, 51829, 51056, 53329, 51267, 50456, 55525, 50895, 78247, 61332, 50949, 51368, 50930, 51350, 50911, 51921, 52761, 50832, 50839, 51368, 50820, 52111, 50841, 51368, 52437, 50832, 50949, 51368, 50811, 51350, 51010, 51999, 52925, 50832, 50841, 52224, 53116, 50832, 50949, 51368, 50828, 52260, 53044, 50832, 50839, 51436, 59932, 50883, 52283, 52802, 50832, 50817, 52145, 53268, 50832, 50828, 51265, 51500, 51223, 51235, 52215, 50839, 61332, 50817, 51921, 53223, 50832, 50834, 51425, 50818, 51265, 50828, 52111, 52992, 50832, 51031, 51265, 50880, 51223, 50883, 51999, 52667, 50832, 50841, 52224, 52950, 50832, 51031, 52260, 53041, 50832, 50841, 51425, 50828, 51265, 50895, 52283, 52725, 50832, 50817, 51265, 50949, 51223, 50890, 52145, 52881, 50832, 50841, 52007, 50949, 51195, 50895, 52215, 50839, 61332, 50949, 51368, 50823, 51350, 50806, 51921, 52761, 50832, 50839, 52111, 50841, 51368, 53150, 50832, 50949, 51368, 50817, 51350, 50930, 51999, 52925, 50832, 50841, 52224, 53116, 50832, 50949, 51368, 50817, 51350, 50884, 52260, 53044, 50832, 50839, 51436, 50817, 51195, 51031, 52283, 52802, 50832, 50817, 52145, 53268, 50832, 50828, 51265, 51932, 51223, 51603, 52215, 50839, 61332, 50817, 51921, 53223, 50832, 50834, 51425, 50841, 52111, 52992, 50832, 51031, 51223, 51031, 51999, 52667, 50832, 54665, 50816, 51625, 52950, 50816, 51625, 51031, 53525, 51903, 53041, 50816, 52683, 54926, 50816, 51625, 50820, 51899, 51625, 54085, 50816, 51625, 52881, 50816, 51625, 50841, 53206, 51625, 50839, 51755, 52050, 52885, 51031, 50876, 51300, 56372, 51593, 51291, 51694, 51759, 50895, 50964, 50993, 51020, 76334, 50962, 51403, 56257, 69591, 50712, 50280, 60920, 50816, 55498, 50876, 51454, 50964, 50817, 51593, 51048, 56960, 50839, 71155, 51899, 51759, 51031, 50877, 50949, 51020, 76334, 50962, 51403, 51010, 51323, 52485, 50852, 68128, 51454, 50964, 50993, 51593, 51048, 56703, 51759, 51031, 52906, 65172, 50949, 50964, 50949, 51323, 50809, 51694, 51759, 51031, 71155, 51023, 76334, 50962, 51530, 50962, 50712, 50280, 52726, 50852, 50846, 54761, 50949, 50712, 50280, 51300, 50435, 52372, 54968, 58393, 51031, 56056, 50949, 50964, 55092, 54761, 54586, 63360, 52372, 50949, 51069, 55373, 53179, 50962, 51899, 55498, 51993, 50962, 68427, 51023, 72738, 50880, 51530, 61702, 52200, 56354, 60936, 50818, 51643, 50962, 72035, 51755, 52050, 51759, 51031, 50876, 51496, 57951, 51593, 51291, 52906, 50841, 65974, 51694, 51759, 51031, 71155, 51020, 76334, 51010, 51403, 52726, 62957, 50712, 50280, 60920, 58393, 50949, 50876, 51090, 65974, 51593, 51112, 56960, 50841, 71155, 51899, 51759, 50949, 50877, 50930, 51020, 50880, 51092, 50962, 51403, 51010, 51323, 52485, 50852, 77360, 51090, 69948, 51593, 51112, 56703, 51759, 54892, 50964, 50817, 51323, 72335, 55498, 71155, 51023, 50880, 51092, 50962, 51530, 50930, 50712, 50280, 52119, 69386, 54761, 50961, 50712, 50280, 51029, 50435, 52372, 55622, 58393, 51031, 56056, 50882, 50964, 55092, 54761, 56843, 63970, 50839, 52372, 50961, 51069, 55373, 53179, 50930, 51899, 51759, 51031, 51993, 50930, 68427, 51023, 71701, 50961, 51530, 63756, 52200, 55577, 62686, 50895, 51643, 50930, 51205, 57239, 51721, 50961, 56703, 52885, 50961, 50876, 52195, 65974, 51593, 60055, 50964, 50817, 51694, 55498, 69948, 51020, 50880, 51092, 50962, 51403, 55736, 71973, 50712, 50280, 60920, 50816, 55498, 50876, 51566, 50964, 50817, 51593, 65455, 56345, 71155, 51899, 51759, 51031, 50877, 50961, 51020, 74660, 50811, 51403, 51010, 51323, 52485, 56345, 50876, 51566, 69948, 51593, 51048, 56703, 51759, 50949, 52906, 63864, 50961, 50964, 50817, 51323, 50809, 51694, 51759, 50949, 71155, 51023, 72738, 50930, 51530, 50880, 50712, 50280, 52726, 69591, 54761, 50961, 50712, 50280, 51300, 50435, 52372, 55622, 50816, 55498, 56056, 50961, 50964, 55092, 54761, 55186, 56345, 52372, 50961, 51069, 61443, 53179, 50930, 51899, 51759, 51031, 51993, 50930, 68427, 51023, 50883, 80061, 51530, 62172, 52200, 55577, 62686, 50841, 51643, 50930, 72035, 56703, 55498, 50876, 51496, 65974, 51593, 50983, 52906, 50839, 65974, 51694, 51759, 51031, 69948, 51020, 72738, 50880, 51403, 56629, 62957, 50712, 50280, 60920, 58393, 51031, 50876, 51090, 50964, 50817, 51593, 51048, 56960, 50834, 56372, 51899, 51759, 50961, 50877, 50930, 51020, 72738, 51010, 51403, 51010, 51323, 52349, 62957, 50902, 51090, 71155, 51593, 51112, 56703, 51759, 50949, 52906, 65172, 50961, 50964, 50817, 51323, 51620, 58393, 51031, 71155, 51023, 74718, 50880, 51530, 50880, 50712, 50280, 56257, 62957, 54761, 50961, 50712 ]
[ 0, 250, 2635, 12, 20764, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 6755, 12547, 6, 21979, 8, 3459, 29589, 6, 8, 21072, 4, 20, 2125, 16, 17407, 30, 10, 15352, 30054, 8, 1372, 6711, 6, 19, 10, 19448, 8, 11653, 13569, 9862, 4, 20, 1049, 33215, 16739, 6, 272, 6, 83, 6, 8, 211, 6, 17992, 7, 5, 2214, 18, 1374, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50799, 52105, 51544, 50839, 51570, 53068, 52105, 61108, 51072, 51311, 51055, 52554, 50991, 52146, 51255, 50426, 51207, 51138, 51311, 50925, 50960, 50948, 66694, 52554, 51110, 52146, 51377, 50432, 51311, 50833, 50960, 55632, 51207, 50895, 51311, 50809, 65498, 50929, 50839, 52554, 52729, 73500, 50986, 51033, 50960, 51048, 50929, 51189, 51891, 50911, 52146, 75658, 51207, 50925, 51311, 50924, 52554, 53562, 51207, 51138, 50986, 51030, 50960, 50825, 51891, 51100, 52146, 57313, 73500, 50960, 50923, 63755, 52146, 50940, 60533, 51407, 52146, 51480, 50426, 51131, 51029, 50960, 51274, 51078, 51157, 50947, 51496, 51067, 51191, 52146, 51576, 50438, 52146, 51328, 50441, 51078, 52794, 50444, 61811, 66253, 50947, 51008, 51067, 57904, 51444, 50809, 51131, 54276, 51504, 50803, 51997, 50803, 52146, 51454, 50453, 52028, 50809, 52554, 53581, 51131, 50952, 51997, 64959, 51707, 50836, 61108, 51072, 51311, 51055, 52554, 50991, 52146, 51255, 50426, 51207, 51138, 51311, 50925, 50960, 50948, 66694, 52554, 51110, 52146, 51377, 50432, 51311, 50833, 50960, 55632, 51207, 50895, 51311, 50809, 65498, 50929, 50839, 52554, 52729, 73500, 50986, 51033, 50960, 51048, 50929, 51189, 51891, 50911, 52146, 75658, 51207, 50925, 51311, 50924, 52554, 53562, 51207, 51138, 50986, 51030, 50960, 50825, 51891, 51100, 52146, 57313, 73500, 50960, 50923, 63755, 52146, 50940, 60533, 51072, 52146, 51480, 50417, 51113, 54055, 64308, 57104, 51444, 51290, 51131, 51048, 69086, 51078, 51110, 51067, 51121, 52146, 51576, 50432, 50960, 51753, 50435, 51078, 51142, 51067, 58346, 51444, 50942, 51131, 50925, 52146, 51328, 50441, 72259, 51078, 51423, 51067, 51642, 50444, 52888, 50893, 51444, 50983, 51131, 50983, 50447, 50960, 54915, 53873, 50806, 66124, 51078, 51060, 51067, 64713, 54992, 51138, 50960, 57326, 72990, 51078, 50809, 62342, 50799, 58635, 51286, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 57026, 51370, 50891, 50960, 51932, 50426, 58635, 50911, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 54992, 51237, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50879, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 54992, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 53873, 51226, 51983, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 64181, 51078, 51100, 51707, 50897, 52146, 58175, 58635, 50924, 53358, 50891, 50947, 51603, 51997, 50937, 52146, 58761, 59634, 50805, 51983, 69359, 53154, 50844, 50799, 61656, 50893, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 59634, 51575, 50891, 50960, 51932, 50426, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 57026, 50924, 51983, 50960, 59067, 57026, 50917, 51983, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50845, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 57026, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 54992, 51370, 50891, 50960, 50882, 52162, 50959, 50799, 58635, 50967, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 64181, 51078, 51100, 51707, 50897, 52146, 58175, 53873, 50806, 53358, 50891, 50947, 51603, 51997, 50937, 52146, 57414, 54992, 51138, 51983, 69359, 53154, 50987, 50799, 58635, 51286, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 57026, 51370, 50891, 50960, 51932, 50426, 58635, 50911, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 54992, 51237, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50879, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 54992, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 53873, 51226, 51983, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 50441, 52888, 55933, 58635, 51864, 50891, 51078, 51100, 51707, 50897, 52146, 76173, 54992, 54208, 53873, 53841, 51392, 50891, 50947, 51603, 51997, 50937, 52146, 75830, 54992, 50890, 51453, 50891, 69359, 53154, 50844, 50799, 58635, 51111, 51983, 51207, 51009, 51707, 51025, 52146, 51124, 51039, 50891, 50960, 51932, 50423, 54992, 52329, 53873, 56081, 51392, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50429, 54992, 53810, 53873, 50942, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 50987, 64181, 50960, 51072, 51707, 50937, 52146, 58248, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 51162, 51453, 50891, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 63982, 58635, 51021, 51983, 51444, 52512, 50960, 51009, 53154, 50866, 52146, 61255, 59634, 51021, 51983, 51078, 51100, 51707, 50897, 52146, 58175, 59634, 50823, 53358, 50891, 50947, 51454, 51997, 50937, 52146, 57414, 61656, 51090, 53358, 50891, 51078, 50938, 53154, 50987, 51755, 51392, 50825, 51207, 51059, 50960, 51014, 50929, 51066, 51076, 51345, 50415, 51137, 51285, 52554, 51013, 53560, 51124, 65945, 72259, 50421, 59634, 55447, 59634, 50893, 54680, 50825, 50960, 50975, 50929, 50975, 51076, 51167, 51133, 52445, 53560, 68178, 57026, 50924, 53026, 50825, 51207, 71758, 68233, 52554, 50917, 54683, 52195, 57026, 50911, 53358, 50825, 51725, 51300, 50986, 51021, 50929, 50823, 51891, 50849, 53560, 60021, 58635, 50879, 51468, 51311, 51030, 50929, 51267, 52554, 70083, 53560, 56060, 58635, 50924, 54680, 50825, 50986, 50860, 51891, 71250, 53560, 61898, 54992, 51291, 53026, 50825, 62875, 50929, 51101, 52146, 52097, 53560, 51189, 50458, 51288, 52208, 51622, 52379, 50459, 51529, 51036, 50460, 51075, 51036, 50461, 51155, 51184, 53447, 50824, 53358, 60008, 50828, 51444, 51072, 65945, 50960, 50936, 71172, 50825, 51444, 50980, 60217, 57504, 50947, 51286, 50427, 51181, 52030, 54680, 50825, 50960, 63937, 51181, 53785, 51181, 59557, 50825, 50960, 50921, 51078, 51030, 50947, 51030, 51658, 51392, 50825, 51444, 50952, 50439, 51334, 50860, 51118, 50860, 53525, 50961, 50960, 51354, 51078, 51167, 50947, 51215, 50442, 51181, 52940, 51910, 51030, 51590, 50806, 53358, 50825, 51444, 51072, 51595, 63233, 51349, 51192, 51229, 52677, 51139, 50825, 50960, 51735, 51078, 51566, 50947, 51237, 57596, 54706, 54450, 51910, 50952, 51209, 51021, 53358, 55147, 50961, 51444, 50803, 51401, 51030, 53053, 51072, 51263, 51551, 51063, 51496, 53358, 58168, 50828, 51207, 51066, 50960, 50823, 51076, 50980, 51401, 52871, 50899, 53108, 50311, 51819, 52517, 50802, 51813, 50802, 51478, 51427, 51155, 51226, 51931, 50960, 69817, 52888, 56346, 50973, 76564, 52525, 50896, 52086, 51054, 51245, 50914, 51075, 51552, 54680, 50834, 51207, 51066, 50960, 50879, 50929, 51505, 51076 ]
[ 0, 250, 765, 37903, 9, 5175, 25771, 930, 4246, 41, 3459, 8669, 6, 13305, 6, 6755, 12547, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 19, 10, 11602, 9, 2365, 8, 3366, 219, 4785, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 20889, 9, 14881, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 8200, 10, 881, 21263, 9, 5, 163, 43531, 1176, 406, 8, 1918, 406, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57739, 50791, 77181, 50800, 53028, 70829, 77181, 52513, 52052, 59550, 51814, 57891, 51487, 52116, 51339, 51052, 57465, 51430, 62103, 51146, 53532, 51062, 58268, 51081, 58403, 50999, 52163, 50951, 57303, 50931, 56575, 50968, 52937, 50902, 58055, 56245, 50461, 50906, 50817, 55881, 51732, 50956, 51732, 50861, 51732, 50906, 51732, 50902, 51732, 51107, 51496, 52481, 53501, 51772, 50821, 78993, 51408, 50821, 51390, 50821, 54280, 50911, 51533, 53501, 52055, 51104, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 59964, 51620, 50660, 50350, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51165, 51496, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 54042, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 73159, 51551, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51088, 55362, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 50799, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51620, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 50956, 56893, 58503, 57129, 50802, 52481, 50894, 51107, 50911, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 51533, 52964, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 54206, 52442, 50871, 52442, 50877, 52442, 50876, 52442, 51093, 51496, 52371, 56073, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 50821, 52700, 50911, 51181, 56073, 52055, 51104, 56191, 51322, 69635, 77180, 50800, 51334, 51835, 51322, 69635, 77180, 50800, 51334, 51049, 54080, 51322, 69635, 77180, 50800, 51334, 50800, 52700, 59964, 51620, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 55104, 51322, 69635, 77180, 50800, 51334, 51628, 51113, 51496, 51322, 69635, 77180, 50800, 51334, 50800, 52700, 54042, 54125, 51322, 69635, 77180, 50800, 51334, 52154, 51724, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 56050, 51322, 69635, 77180, 50800, 51334, 51820, 51322, 69635, 77180, 50800, 51334, 51049, 54672, 51322, 69635, 77180, 50800, 51334, 56392, 50448, 51209, 71540, 51674, 55254, 51154, 52266, 51229, 50961, 51408, 50961, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 64380, 51590, 50961, 51334, 79857, 51934, 50961, 51390, 57886, 52031, 50961, 51924, 50961, 51322, 69635, 77180, 50800, 51334, 57924, 51893, 50961, 53076, 70896, 52004, 54450, 51209, 50961, 51322, 69635, 77180, 50800, 51334, 55701, 50457, 51674, 65083, 51229, 50961, 51408, 59426, 51590, 50961, 51334, 50961, 51322, 69635, 77180, 50800, 51334, 56392, 50460, 51934, 50961, 51390, 67327, 52031, 50961, 51924, 50961, 50799, 51893, 50961, 53076, 50961, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 63586, 52004, 59757, 51322, 69635, 77180, 50800, 51334, 51835, 51322, 69635, 77180, 50800, 51334, 51049, 54080, 51322, 69635, 77180, 50800, 51334, 52154, 51620, 50997, 58813, 56798, 57650, 50802, 52602, 50923, 51154, 50911, 51113, 50911, 52000, 50806, 51322, 74348, 51727, 50923, 52055, 51104, 52686, 50900, 67898, 56893, 58503, 62748, 50882, 51165, 50882, 52143, 50923, 51451, 50821, 51772, 50821, 78993, 51408, 50821, 51338, 52964, 54125, 51451, 50800, 51772, 50800, 69787, 51408, 52154, 51724, 51165, 50911, 51451, 50800, 51772, 50800, 69787, 51408, 51730, 55121, 56050, 51451, 50800, 51772, 50800, 69787, 51408, 51820, 50899, 59237, 50803, 58336, 56245, 52371, 50894, 51113, 50882, 51093, 50882, 51093, 51541, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 50821, 51181, 52964, 54672, 51322, 69635, 77180, 50800, 51334, 52154, 51757, 51322, 69635, 77180, 50800, 51334, 51730, 55121, 55982, 51322, 69635, 77180, 50800, 51334, 51754, 51322, 69635, 77180, 50800, 51334, 51049, 54421, 51322, 69635, 77180, 50800, 51334, 56392, 56178, 51732, 50861, 51732, 50906, 51732, 50902, 51732, 51107, 51496, 52481, 53501, 51426, 53601, 51088, 53601, 51772, 50821, 78993, 51408, 50821, 51390, 50821, 54280, 50911, 51533, 53501, 52055, 51104, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 59964, 51620, 50660, 50350, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51165, 51496, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 54042, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 73159, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51154, 50802, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51088, 50802, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 51107, 51795, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 50799, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51620, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51093, 50802, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 50956, 56893, 58503, 57129, 50802, 52481, 50894, 51426, 50911, 51088, 50911, 51107, 50802, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 51533, 52964, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 54206, 52442, 50871, 52442, 50877, 52442, 50876, 52442, 51093, 51496, 51251, 55362, 51154, 55362, 52371, 56073, 51154, 57676, 51322, 50821, 51256, 50821, 51229, 50821, 51334 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 6755, 12547, 6, 20535, 2810, 6, 21072, 6, 8, 23338, 33518, 1264, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 119, 1176, 406, 6, 163, 428, 6, 274, 6, 8, 230, 3639, 7, 63, 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, 0 ]	[ 56103, 51453, 62298, 52746, 56300, 50459, 51706, 55068, 53842, 50461, 51198, 54153, 51099, 56094, 53870, 55482, 51209, 50833, 51408, 50833, 51390, 50833, 54280, 52149, 52404, 51225, 51297, 50415, 51308, 55068, 50417, 73780, 51408, 50854, 51390, 54611, 51209, 50822, 73083, 51390, 53199, 63140, 73083, 51390, 51373, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 73083, 51390, 52658, 73083, 51390, 51373, 64568, 73083, 51390, 53330, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 51209, 50827, 51408, 50844, 51390, 53103, 73083, 51390, 51373, 63491, 51408, 50854, 51390, 53330, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 54424, 73083, 51390, 53330, 68248, 51209, 50822, 51408, 50833, 51390, 52938, 51126, 69853, 50833, 51408, 50833, 51390, 53530, 55137, 51297, 50417, 51209, 50822, 51408, 50854, 51390, 54611, 51408, 50854, 51390, 53330, 63140, 51408, 50854, 51390, 52938, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51209, 50822, 51408, 50854, 51390, 53911, 51408, 50854, 51390, 53330, 64568, 51408, 50854, 51390, 52938, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 54746, 52746, 51274, 73083, 51390, 53330, 63491, 51408, 50854, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 51209, 50874, 51408, 50854, 51390, 66145, 51198, 51212, 50455, 51706, 50937, 51099, 61327, 51105, 51328, 51209, 50827, 51408, 50854, 51390, 52938, 68248, 51209, 50822, 51408, 50854, 51390, 52938, 51126, 52288, 53233, 51256, 50833, 51229, 50833, 51334, 50833, 52700, 52024, 52404, 51225, 51297, 50415, 51280, 51419, 52176, 54143, 51144, 51241, 51119, 51419, 50417, 51256, 50844, 51229, 50854, 51334, 53932, 51256, 50874, 51229, 50810, 51334, 53330, 63140, 51229, 50854, 51334, 52938, 57203, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 68762, 51256, 50874, 51229, 50810, 51334, 53911, 51153, 51159, 51144, 51991, 51280, 50980, 51229, 50810, 51334, 53330, 64568, 51256, 50822, 51229, 50854, 51334, 52938, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51256, 50874, 51229, 50810, 51334, 54746, 51280, 51244, 51119, 51790, 51256, 50874, 51229, 50844, 51334, 51373, 63491, 51256, 50822, 51229, 50854, 51334, 53330, 60801, 51256, 50833, 51229, 50833, 51334, 55190, 63464, 54139, 51256, 50827, 51229, 50810, 51334, 54424, 51256, 50874, 51229, 50810, 51334, 53330, 68248, 51229, 50854, 51334, 53330, 51126, 76308, 50833, 51229, 50833, 51334, 53530, 55137, 51297, 50417, 51256, 50822, 51229, 50810, 51334, 54611, 51229, 50854, 51334, 53330, 63140, 51229, 50854, 51334, 53330, 57203, 51096, 51423, 51256, 50833, 51229, 50833, 51334, 50833, 51251, 50866, 51887, 50845, 52602, 51212, 51113, 51212, 50801, 52716, 51128, 50427, 53038, 51100, 76092, 51198, 69353, 51256, 50874, 51229, 50810, 51334, 53911, 50964, 51277, 51229, 50854, 51334, 50854, 52143, 50959, 51699, 50955, 51426, 50955, 51165, 55325, 71598, 51964, 50924, 51561, 50910, 51308, 78885, 51256, 50844, 51229, 50833, 51334, 53330, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 54746, 50927, 51309, 51229, 50854, 51334, 50854, 52371, 50878, 51883, 50866, 51154, 50978, 51093, 61098, 51128, 50445, 51153, 50937, 52176, 50795, 51144, 59414, 51256, 50822, 51229, 50854, 51334, 53330, 60801, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 70596, 51256, 50874, 51229, 50854, 51334, 54424, 51229, 50810, 51334, 53330, 68248, 51256, 50827, 51229, 50854, 51334, 52938, 51126, 79921, 52570, 51198, 52392, 51099, 52149, 51105, 55116, 51209, 50854, 51408, 50833, 51390, 50833, 54280, 51492, 51638, 52829, 51088, 52829, 51251, 52829, 51154, 52720, 52404, 51225, 51297, 50417, 51209, 50822, 51408, 50854, 51390, 54611, 73083, 51390, 53330, 63140, 51408, 50854, 51390, 53330, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51408, 50844, 51390, 53911, 51308, 50918, 51408, 50844, 51390, 53330, 64568, 51209, 50822, 51408, 50833, 51390, 52938, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 53103, 73083, 51390, 53330, 51128, 50445, 51088, 51419, 50447, 51209, 50822, 51408, 50833, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 52863, 51198, 51142, 77480, 51408, 50822, 51390, 51373, 68248, 51408, 50854, 51390, 52938, 51126, 50460, 51107, 51677, 69853, 50833, 51408, 50833, 51390, 53530, 55137, 51297, 50415, 51275, 51158, 51198, 51060, 50417, 73083, 51390, 54611, 73083, 51390, 53330, 63140, 51209, 50874, 51408, 50833, 51390, 52938, 51126, 50424, 51198, 51939, 51153, 73969, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51209, 50827, 51408, 50854, 51390, 53911, 51308, 51742, 51408, 50844, 51390, 53330, 64568, 51408, 50854, 51390, 53330, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 54746, 73083, 51390, 53330, 51128, 50445, 51093, 51312, 50447, 51408, 50854, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 70566, 51107, 51480, 50456, 51105, 51328, 51408, 50854, 51390, 53330, 68248, 51408, 50854, 51390, 52938, 51126, 70781, 51377, 52176, 51293, 51144, 51189, 50927, 54143, 51256, 50833, 51229, 50833, 51334, 50833, 52700, 51492, 51299, 56515, 51883, 56515, 52404, 51225, 51297, 50415, 51280, 51241, 50416, 51154, 52151, 50417, 51256, 50822, 51229, 50810, 51334, 53066, 51229, 50854, 51334, 53330, 63140, 51256, 50810, 51229, 50833, 51334, 52938, 51126, 50424, 51099, 51255, 50426, 51256, 50810, 51229, 50833, 51334, 53530, 52716, 68762, 51229, 50810, 51334, 53911, 51229, 50810, 51334, 53330, 71598, 51144, 51662, 51280, 52140, 51119, 51422, 50435, 51229, 50854, 51334, 52938, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 54746, 51229, 50810, 51334, 53330, 63491, 51229, 50854, 51334, 52938, 60801, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 70596, 51229, 50810, 51334, 50854, 51088, 51480, 50456, 51229, 50810, 51334, 53330, 68248, 51229, 50854, 51334, 51589, 51126, 76308, 50833, 51229, 50833, 51334, 50833, 51154, 51145, 52404, 51225, 51297, 50417, 51229, 50810, 51334, 54611, 51229, 50844, 51334, 53330, 63140, 51229, 50854, 51334, 53330, 57203, 51096, 51423, 51256, 50833, 51229, 50833, 51334, 50833, 52602, 51212, 51887, 51212, 51251, 51101, 51113, 78267, 52716, 51128, 50427, 51119, 51173, 53038, 51100, 51198, 69353, 51229, 50810, 51334, 52658, 50964, 51277, 51229, 50844, 51334, 50810, 52143, 50955, 51699, 50878, 51426, 50878, 51165, 56879, 71598, 51561, 50925, 51308, 50977, 51964, 75339, 51229, 50810, 51334, 51373, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 53103, 50927, 51328, 51229, 50854, 51334, 50833, 52371, 50866, 51883, 50866, 51154, 50866, 51093, 55325, 51128, 50445, 79305, 52176, 50917, 51144, 69352, 51256, 50874, 51229, 50833, 51334, 52938, 60801, 51256, 50833, 51229, 50833, 51334, 50833, 51088, 53877, 52716, 51126, 50452, 51113, 67763, 51256, 50822, 51229, 50854, 51334, 70566, 51165, 59631, 51229, 50854, 51334, 53330, 71439, 51093, 50987, 50459, 51256, 50822, 51229, 50833, 51334, 52938, 78584, 51107, 53413, 53870, 55482, 51209, 50833, 51408, 50833 ]
[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 13305, 6, 17605, 9590, 6, 8, 21072, 4, 20, 33301, 16, 33200, 8, 17627, 17274, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 1769, 20889, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 381, 6, 163, 6, 274, 10431, 119, 406, 6, 381, 6, 8, 163, 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 ]	[ 58402, 50450, 77312, 50799, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 55267, 52244, 50852, 51973, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52119, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 51428, 51858, 52116, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52163, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52152, 50803, 50799, 57139, 58147, 59838, 64198, 55096, 52221, 51858, 52244, 59054, 56182, 65115, 51499, 52472, 51973, 59054, 55555, 65115, 57300, 55096, 52108, 51858, 52119, 60273, 51288, 68453, 51029, 51529, 51029, 75503, 51323, 50889, 55096, 52221, 51858, 52057, 50852, 52284, 56044, 59793, 69885, 75121, 55096, 51428, 51858, 52116, 57139, 59054, 65115, 64198, 55096, 52108, 51858, 52163, 59054, 56044, 65115, 59793, 69885, 75121, 55096, 52152, 50803, 50799, 59054, 65115, 72218, 60993, 51571, 50889, 74683, 53930, 52221, 51858, 52244, 58147, 51219, 52319, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52163, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52152, 50803, 50799, 53930, 52221, 51858, 51858, 52244, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 51323, 52472, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 51219, 50846, 68143, 59793, 76715, 78700, 56718, 51404, 50846, 69885, 75121, 53930, 52108, 59177, 52163, 51219, 50846, 68143, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 52152, 50803, 50799, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 55267, 52244, 50852, 51973, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52119, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 51428, 51858, 52116, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52163, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52152, 50803, 50799, 57139, 58147, 59838, 64198, 55096, 52221, 51858, 52244, 59054, 56182, 65115, 51499, 52472, 51973, 59054, 55555, 65115, 57300, 55096, 52108, 51858, 52119, 60273, 51288, 68453, 51029, 51529, 51029, 75503, 51323, 50889, 55096, 52221, 51858, 52057, 50852, 52284, 56044, 59793, 69885, 75121, 55096, 51428, 51858, 52116, 57139, 59054, 65115, 64198, 55096, 52108, 51858, 52163, 59054, 56044, 65115, 59793, 69885, 75121, 55096, 52152, 50803, 50799, 59054, 65115, 72218, 60993, 51571, 50889, 74683, 53930, 52221, 51858, 52244, 58147, 51219, 52319, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 55281, 54633, 51155, 50824, 62608, 53930, 52108, 51858, 52163, 51219, 50846, 58230, 60273, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52152, 50803, 50799, 51885, 51029, 53930, 52221, 51858, 52244, 51219, 50846, 68143, 59793, 56718, 51404, 50846, 69885, 51323, 52472, 51973, 55281, 54633, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 51219, 50817, 58230, 51046, 50824, 60273, 78700, 70857, 51288, 70931, 50889, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 52108, 51858, 52163, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 52152, 50803, 50799, 54633, 51278, 51732, 51219, 51732, 50965, 50802, 58157, 53968, 50983, 53005, 55267, 53113, 51529, 60037, 50802, 51823, 52201, 51973, 56044, 50965, 50824, 51404, 52504, 60107, 51529, 51623, 51854, 51623, 51823, 51623, 51746, 51623, 53968, 51428, 52010, 50438, 50965, 50802, 53968, 59770, 52284, 50989, 69793, 59758, 52677, 59690, 50916, 52442, 50791, 50803, 50799, 57139, 50899, 50802, 64198, 55096, 50983, 53005, 52010, 50420, 55555, 56044, 50899, 51795, 57300, 51404, 52201, 51973, 56182, 51499, 52504, 60107, 51219, 51264, 51288, 51264, 51404, 51264, 51323, 51264, 55096, 51428, 52010, 50438, 55096, 59770, 50803, 52129, 52010, 51899, 52010, 51453, 50803, 60652, 51141, 51278, 51141, 51046, 51141, 51040, 51352, 51571, 51141, 51580, 51141, 51200, 51141, 53930, 55157, 52010, 56440, 52448, 50803, 51694, 60107, 51219, 50846, 51219, 51538, 51288, 51264, 50916, 54217, 51404, 50846, 51404, 51538, 51323, 51264, 53930, 51428, 52010, 50438, 53930, 57068, 50803, 52129, 52010, 50450, 51040, 51732, 50816, 59690, 51086, 52448, 50803, 50799, 55281, 57116, 53930, 55157, 52010, 50420, 56044, 51027, 51732, 51404, 52201, 51973, 53488, 51200, 52504, 60107, 51219, 51623, 51288, 51623, 51404, 51623, 51323, 51623, 53930, 51428, 52010, 50438, 53930, 57068, 50803, 52129, 52010, 51899, 52010, 56672, 50803, 50799, 54633, 50965, 50802, 58157, 53968, 55157, 51520, 55267, 52244, 51529, 60037, 50802, 51823, 52201, 51973, 56044, 50965, 50802, 51404, 52504, 60107, 51529, 51623, 51854, 51623, 50965, 50802, 51823, 51623, 51746, 51623, 53968, 51428, 52010, 50438, 50965, 50802, 53968, 57068, 52284, 50989, 52299, 52010, 51899, 59690, 50916, 57838, 50803, 50799, 57139, 50899, 50802, 64198, 55096, 55157, 52010, 50420, 55555, 56044, 50899, 51184, 57300, 51404, 52201, 51973, 56182, 51499, 52504, 60107, 51219, 51264, 51288, 51264, 50916, 50802, 51404, 51264, 51323, 51264, 55096, 51428, 52010, 50438, 50989, 51029, 55096, 57068, 50803, 52129, 52010, 51899, 59690, 50916, 51732, 50791, 50803, 60652, 51141, 51278, 51141, 51046, 51141, 51086, 51732, 51571, 51141, 51580, 51141, 51200, 51141, 53930, 55157, 52010, 61683, 51732, 50791 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 21979, 8669, 6, 13305, 6, 21677, 32909, 6, 32909, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 7630, 14805, 6453, 9, 657, 8, 26545, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 60859, 50839, 51768, 52742, 50903, 50825, 51955, 50839, 60859, 50825, 51768, 50825, 51658, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 50439, 51140, 51692, 51618, 69263, 51397, 51131, 51878, 51955, 51464, 50839, 51050, 55002, 60859, 66174, 51277, 50871, 59389, 56307, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50427, 51150, 51692, 50868, 51161, 51246, 51422, 59015, 51464, 50839, 51955, 66174, 51277, 50916, 58399, 50974, 51755, 54778, 50839, 51247, 51662, 50415, 51140, 51692, 50416, 50872, 51077, 51131, 51145, 60284, 51803, 51768, 51464, 73619, 51749, 58783, 51351, 59015, 61299, 74458, 50876, 58248, 50801, 54778, 50839, 51085, 52441, 50900, 51679, 50916, 51310, 50861, 51318, 50906, 51477, 50451, 51150, 51518, 50885, 52827, 51574, 51896, 50799, 59193, 53227, 50900, 51477, 51768, 61687, 51400, 50432, 69122, 50820, 66734, 50435, 50850, 50823, 50986, 50940, 51658, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50439, 51140, 51518, 50440, 50872, 51870, 51131, 51336, 51955, 51464, 50839, 60859, 50834, 51050, 73355, 60365, 59772, 54657, 69122, 65858, 50930, 50960, 61083, 50850, 50836, 50986, 53803, 50801, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50427, 51150, 51518, 50428, 50847, 51356, 51246, 51127, 51556, 52950, 59193, 50839, 51955, 52920, 50850, 50817, 50986, 60203, 50992, 50884, 50986, 61994, 50847, 50812, 51246, 50867, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 51131, 56075, 51140, 51518, 50416, 50872, 51227, 51131, 51377, 51768, 51464, 56344, 50850, 51761, 50986, 51364, 56014, 51477, 59015, 60953, 51400, 75795, 62150, 50909, 50940, 50970, 58460, 50801, 54778, 50839, 51234, 52441, 50899, 51679, 50871, 51310, 50906, 51318, 50902, 51477, 50451, 51261, 51518, 50453, 67866, 63232, 51621, 61994, 51007, 51091, 50970, 51134, 50799, 59193, 53227, 50899, 51477, 51768, 60953, 51400, 63975, 77119, 51439, 50823, 51064, 50921, 51658, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50439, 51140, 51518, 50441, 51257, 51138, 50947, 50924, 50449, 50850, 51364, 50986, 51295, 51955, 51464, 53268, 50900, 51477, 60859, 60953, 51400, 58060, 50897, 50421, 50909, 51045, 50970, 58798, 50801, 54778, 50839, 51085, 52441, 50900, 51679, 50916, 51310, 50861, 51318, 50906, 51477, 50427, 51150, 51518, 50428, 50939, 50860, 50998, 50948, 51556, 61574, 51343, 51246, 51218, 59015, 51464, 53044, 50900, 51477, 51955, 61687, 51400, 50454, 50847, 55392, 51246, 61489, 50456, 50906, 61076, 50909, 51030, 50970, 50938, 51755, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50415, 51140, 51518, 50419, 50850, 51353, 50986, 51243, 51768, 51464, 52950, 50903, 50834, 51050, 51645, 55513, 56697, 50801, 54778, 50839, 51085, 52140, 50900, 51314, 50916, 51742, 50861, 51662, 50906, 51939, 50451, 51150, 51692, 50799, 59193, 50839, 51768, 57334, 50850, 50950, 50986, 67803, 50992, 50840, 50986, 53705, 50900, 65867, 50847, 50811, 51246, 50890, 51658, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50439, 51140, 51518, 50872, 51336, 51131, 51183, 51955, 51464, 50839, 60859, 50834, 51050, 73355, 60365, 59772, 79171, 57263, 50986, 54718, 50939, 50858, 64856, 50424, 55119, 50986, 54317, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50986, 59741, 51150, 51518, 50429, 50847, 51661, 51246, 51417, 59015, 51464, 50839, 51955, 66174, 51277, 50916, 58399, 50974, 50452, 61909, 50986, 69085, 59406, 51246, 50858, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50415, 51140, 51692, 50872, 51073, 51131, 51267, 51510, 50839, 51768, 51464, 56344, 50850, 51761, 50986, 51364, 56014, 51477, 59015, 60953, 51400, 75795, 62150, 50909, 50870, 50970, 54044, 50801, 54778, 50839, 51234, 52441, 50899, 51679, 50871, 51310, 50906, 51318, 50902, 51477, 50451, 51261, 51692, 50452, 50939, 51178, 50960, 51423, 50799, 59193, 56813, 51007, 50975, 50970, 51175, 54569, 51477, 50424, 50885, 51749, 51504, 52441, 51768, 60953, 51400, 51149, 50823, 50929, 62019, 66557, 50433, 77144, 51064, 50882, 51658, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 51504, 52482, 50439, 51140, 51692, 50440, 51257, 50802, 50947, 50893, 51955, 51464, 50839, 51050, 55002, 50451, 50850, 51364, 50986, 51295, 60859, 66174, 51277, 50871, 59389, 50974, 50422, 50909, 50921, 50970, 52710, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50998, 55882, 51150, 51518, 50428, 50939, 50811, 50998, 69544, 50850, 50836, 50986, 64938, 50992, 50942, 70899, 51556, 52950, 59193, 57927, 50868, 50983, 51246, 51115, 51955, 66174, 51277, 50916, 58399, 50974, 50458, 50847, 50882, 51246, 50808, 51755, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50415, 51140, 51692, 50418, 50872, 51518, 51131, 51939, 51768, 51464, 52950, 50903, 50834, 51050, 51645, 55513, 56697, 50801, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50451, 51140, 51518, 50799, 59193, 58235, 51257, 50823, 50947, 51033, 51768, 50834, 51050, 51645, 50428, 51439, 50823, 51064, 51033, 56014, 78239, 51257, 63935, 50882, 51658, 54778, 50839, 51085, 52140, 50900, 51314, 50916, 51742, 50861, 51662, 50906, 51939, 50439, 51150, 51692, 50440, 51149, 50824, 51064, 51090, 51955, 51464, 58472, 51007, 50811, 50970, 69738, 50909, 50820, 50998, 50837, 60859, 61442, 50835, 50998, 61252, 67723, 51246, 50865, 53502, 50974, 50424, 57263, 50986, 54149, 50801, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50427, 51150, 51518, 50430, 50939, 51059, 50998, 51362, 51556, 52950, 59193, 54525, 50909, 51045, 50998, 50952, 51955, 55007, 51007, 50823, 50970, 50921, 50460, 51257, 63935, 50858, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50415, 51140, 51518, 50419, 51007, 51021, 50970, 50865, 51768, 51464, 65760, 50909, 51518, 50970, 51939, 56014, 51477, 59015, 60953, 51400, 75795, 55620, 50801, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50451, 51140, 51518, 50799, 59193, 58235, 51257, 63935, 50882, 51768, 50834, 51050, 73355, 60365, 59772, 50857, 51439, 50860, 51064, 51030, 50433, 51257, 50823, 50947, 50921, 51658, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50439, 51150, 51518, 50440, 51149, 51059, 51064, 51226, 51955, 51464, 58472, 63921, 73635, 60859, 65537, 50835, 50998, 61252, 75330, 51246, 78960, 50850, 50821, 50986, 52710, 50801, 54778, 50839, 51085, 51447, 50916, 51535, 68930, 69507, 72144, 50427, 51150, 51518, 50431, 50939, 51204, 50998, 51391, 59015, 51464, 57740, 50909, 50950, 50998, 50859, 51955, 61687, 61381, 60334, 60982, 70175, 50860, 50970, 50948, 50457, 60992, 51064, 50882, 51755, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 50415, 51140, 51790, 51257, 51029, 50947, 51496, 51510, 50839, 51768 ]
[ 0, 4688, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 2712, 6, 4246, 10, 20902, 11739, 9, 21072, 6, 12280, 3275, 1725, 3109, 6, 228, 438, 4781, 2088, 6757, 6, 38668, 20535, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 6, 83, 406, 6, 8, 1918, 401, 3639, 7, 63, 33928, 8, 33558, 16464, 6, 442, 24, 41, 11653, 2365, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53458, 50807, 52321, 50961, 65945, 51768, 51041, 52209, 51668, 50937, 52868, 54279, 51044, 52600, 51389, 51377, 52789, 54020, 51392, 63247, 52772, 51389, 62400, 55767, 54966, 53563, 70707, 53317, 50895, 53458, 50807, 52321, 64600, 54885, 68709, 56856, 54885, 61953, 54885, 50828, 51768, 51392, 52209, 51668, 50937, 52868, 55089, 51187, 53040, 51389, 51377, 52789, 54441, 51139, 62961, 66541, 66027, 59361, 66541, 52396, 51389, 51194, 66541, 52873, 59534, 54966, 50961, 51453, 55410, 56093, 50884, 53458, 50807, 52833, 50879, 53286, 50938, 52321, 50386, 52281, 52755, 50834, 52797, 50961, 52044, 50840, 54081, 50895, 54066, 67046, 54830, 50415, 52868, 51585, 52789, 51161, 51039, 53246, 58964, 53286, 52450, 52833, 50952, 55347, 52245, 50870, 52797, 50961, 52044, 50846, 54081, 50895, 54066, 52667, 51668, 50937, 52833, 50921, 53286, 50830, 52120, 69627, 52797, 50883, 52044, 50809, 54081, 50884, 54066, 53574, 51389, 51377, 53358, 53078, 59808, 52833, 50800, 53286, 50830, 51180, 50374, 52663, 52797, 50949, 52044, 50846, 54081, 50895, 54066, 59596, 52350, 50943, 52197, 77439, 52254, 50450, 51389, 51194, 52901, 50889, 52380, 55023, 51239, 55767, 54966, 53353, 50837, 52242, 50818, 51975, 50846, 52662, 50828, 53382, 60233, 52197, 51754, 52380, 50952, 70707, 55399, 54821, 50870, 52242, 50884, 75673, 52662, 50846, 53382, 50828, 53458, 50807, 52277, 51518, 52868, 51538, 53319, 51158, 52464, 51121, 52321, 53078, 50835, 52049, 50895, 52797, 50817, 52205, 50818, 54081, 50961, 50861, 53700, 50418, 54885, 50880, 51039, 60415, 50422, 54885, 51031, 50425, 54885, 50884, 51768, 51392, 52245, 50825, 52049, 50884, 52797, 51031, 52205, 50846, 54081, 52975, 51668, 50937, 52868, 55089, 51187, 50376, 52663, 52049, 50818, 52797, 50883, 52205, 50841, 54081, 53418, 51389, 51377, 52789, 56545, 51139, 53099, 58616, 66541, 50882, 51180, 53246, 50837, 52049, 50818, 52797, 50961, 52205, 50841, 54081, 66119, 66541, 55254, 51389, 51194, 52350, 51003, 52901, 50807, 66541, 71074, 51239, 59534, 55222, 54016, 50863, 52242, 50895, 75673, 52662, 50818, 53382, 50841, 51453, 55410, 53317, 55101, 50870, 52242, 50883, 51975, 50846, 52662, 50884, 53382, 50841, 53458, 50807, 52789, 51538, 52833, 50805, 53286, 50849, 52321, 54016, 50829, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 70082, 54830, 50415, 52868, 51538, 51039, 76211, 50425, 52833, 56382, 53286, 50910, 55347, 52245, 50837, 52797, 50895, 52044, 50846, 54081, 50846, 54066, 52925, 51668, 50937, 52833, 50830, 53286, 50952, 52120, 53518, 50870, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 53116, 51389, 51377, 53358, 53078, 59808, 53286, 52711, 52833, 50858, 76556, 50908, 52797, 50895, 52044, 50846, 54081, 50846, 54066, 58560, 52253, 50812, 50876, 52254, 50450, 51389, 51194, 52901, 50943, 53676, 50807, 53625, 65958, 51406, 55767, 54966, 53353, 50825, 51975, 50884, 52416, 50884, 53382, 50828, 57082, 58014, 52253, 51754, 53625, 50821, 70707, 54782, 54821, 50870, 75673, 52416, 50884, 53382, 50828, 57082, 50846, 54389, 50807, 54775, 50809, 52789, 51692, 55626, 51175, 52107, 51111, 52321, 53078, 50829, 52044, 50884, 53731, 50817, 54066, 50846, 71461, 50949, 50902, 53700, 50415, 55432, 51692, 50418, 54885, 50880, 51039, 60415, 50422, 54885, 51031, 50425, 54885, 50884, 51768, 51392, 52245, 50837, 52044, 50818, 53731, 50949, 54066, 50828, 71461, 53644, 51150, 50937, 52901, 53672, 51187, 53622, 50870, 52044, 50818, 53731, 50817, 54066, 50828, 71461, 55622, 51389, 51162, 52789, 54285, 51139, 53099, 60862, 66541, 50882, 51180, 53246, 50870, 52044, 50846, 53731, 50817, 54066, 50841, 71461, 72989, 66541, 55254, 51389, 51346, 53676, 50943, 54379, 50807, 66541, 71074, 51187, 59534, 55215, 54016, 50825, 52416, 50895, 52205, 50883, 57082, 50818, 66262, 50884, 51453, 55410, 54782, 55101, 50870, 52416, 50895, 52205, 50895, 57082, 50818, 66262, 50818, 54389, 50889, 55432, 51518, 55288, 51161, 55499, 50911, 54290, 51650, 51139, 54016, 50829, 53731, 50949, 52662, 50884, 71461, 50895, 50657, 50337, 50846, 51114, 54830, 51039, 53246, 58964, 54290, 52450, 55499, 50940, 55347, 52245, 50837, 53731, 50949, 52662, 50818, 71461, 50895, 50657, 50337, 52844, 51150, 50917, 55499, 50858, 54290, 50865, 52120, 69627, 53731, 50949, 52662, 50884, 71461, 50895, 50657, 50337, 53442, 51389, 51377, 53358, 53078, 53162, 55499, 50940, 54290, 51049, 53419, 50825, 53731, 50961, 52662, 50818, 71461, 50895, 50657, 50337, 53083, 51389, 51377, 53676, 50889, 54379, 50889, 53610, 50882, 52575, 67055, 51239, 55767, 54966, 53353, 50835, 52416, 50961, 52205, 50895, 57082, 50895, 66262, 71200, 66504, 53610, 50894, 52575, 50897, 70707, 56379, 50384, 52663, 52416, 50895, 52205, 50895, 57082, 50846, 66262, 56904, 52107, 60946, 54830, 54389, 50807, 54775, 50887, 52789, 51518, 55626, 51021, 52321, 53078, 50829, 52044, 50818, 53731, 50817, 54066, 50828, 71461, 58410, 55432, 51662, 51039, 52909, 52641, 55626, 51014, 52107, 50942, 66358, 52245, 50825, 52044, 50818, 53731, 50949, 54066, 50841, 71461, 53644, 51150, 50977, 55626, 50894, 52107, 50917, 53026, 53622, 50891, 52044, 50895, 53731, 50949, 54066, 50846, 71461, 54292, 51389, 51377, 52321, 53099, 53162, 55626, 51033, 52107, 50833, 51287, 52663, 52044, 50884, 53731, 51031, 54066, 50828, 71461, 53711, 51389, 51159, 52901, 50943, 53676, 50889, 53625, 50858, 52253, 59488, 51044, 59534, 56093, 54016, 50825, 75673, 52416, 50884, 53382, 50828, 57082, 67974, 66504, 53625, 50880, 52253, 51420, 55410, 53317, 50383, 52663, 51975, 50895, 52416, 50884, 53382, 50818, 57082, 50828, 54079, 51191, 52868, 51538, 52833, 50936, 53286, 50901, 52321, 54016, 50835, 52797, 50817, 52044, 50818, 54081, 50961, 54066, 66351, 54830, 50415, 52789, 51486, 51039, 53246, 58990, 52833, 53950, 53286, 50925, 55347, 52245, 50825, 52797, 50949, 52044, 50846, 54081, 50895, 54066, 52667, 51216, 50977, 52833, 50921, 53286, 50897, 52120, 69627, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 53219, 51389, 51221, 53358, 53078, 60862, 53286, 63634, 52833, 50940, 76556, 50825, 52797, 50883, 52044, 50846, 54081, 50818, 54066, 53068, 51389, 51162, 52350, 51003, 52901, 50943, 52380, 50952, 52197, 60629, 51239, 55767, 55140, 53353, 50837, 52242, 50883, 75673, 52662, 50818, 53382, 65490, 52254, 50455, 52197, 58298, 52380, 50859, 70707, 53317, 54821, 50891, 52242, 50884, 51975, 50884, 52662, 50846, 53382, 57498, 52464, 50833, 50861, 53700, 53458, 50808, 52277, 50855, 52868, 50840, 53319, 53287, 56088, 51130, 53078, 50825, 52049, 50884, 52797, 50949, 52205, 50828, 54081, 64174, 52464, 53932, 51098, 50859, 52277, 50855, 52868, 50836, 53319, 53558, 60369, 51139, 53099, 50825, 52049, 50895, 52797, 50961, 52205, 50846, 54081, 53516, 51098, 50936, 52277, 50859, 52868, 50859, 53319, 50950, 52464, 50910, 52219, 51502, 63704, 50835, 52049, 50961, 52797, 50817, 52205, 50884, 54081, 54968, 52365, 55384, 52365, 53027, 52365, 54926, 52365, 52802, 52365, 53685, 51224, 50895, 53458, 50807, 52833, 50879, 53286, 50938, 52321, 68739, 52543, 50834, 52797, 50961, 52044, 50840, 54081, 50895, 54066, 67046, 54830, 50415, 52868, 51585, 52789, 51161, 51039, 53246, 58964, 52833, 50952, 53286, 50808, 51768, 51041, 52245, 50870, 52797, 50961, 52044, 50846, 54081, 50895, 54066, 52667, 51668, 50937, 52833 ]
[ 0, 250, 20902, 11057, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 8, 1076, 560, 31365, 25999, 6, 2800, 30, 21979, 9590, 8, 21072, 4, 8504, 11, 274, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 12701, 4450, 20889, 4, 20, 20299, 29769, 198, 5, 40286, 274, 406, 6, 163, 428, 406, 6, 12608, 406, 6, 8, 2060, 6, 2351, 10, 32076, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 67833, 57267, 51363, 78933, 50978, 68423, 51417, 53360, 51597, 50851, 51085, 60250, 51233, 50422, 50968, 50805, 53327, 58782, 51248, 52258, 51026, 65377, 58327, 51337, 73866, 50987, 55957, 53269, 51150, 51003, 54547, 51085, 51242, 73054, 50446, 50931, 50865, 52612, 51252, 51034, 50804, 50907, 59085, 51027, 51277, 50916, 63751, 57777, 51233, 64309, 66700, 61237, 58688, 53220, 51150, 51417, 73522, 50822, 51085, 50959, 51001, 51101, 50434, 51114, 50805, 52594, 55707, 51248, 52258, 51027, 50933, 50989, 50933, 51001, 51212, 67655, 57091, 62373, 50449, 51001, 50978, 68423, 51675, 50801, 56444, 78627, 51022, 51085, 50822, 50968, 51203, 50999, 64131, 53636, 74180, 60471, 61048, 50951, 51025, 50434, 50968, 59577, 53636, 74180, 61022, 57472, 59855, 50440, 67692, 50442, 50876, 51091, 50446, 51150, 51423, 68423, 51675, 50801, 50371, 54945, 51085, 58382, 53636, 68070, 60471, 50877, 52788, 53636, 76339, 50916, 63700, 62869, 77376, 50902, 62928, 60256, 73831, 51183, 73522, 50822, 51247, 50822, 51050, 50959, 75640, 51001, 51116, 50422, 59855, 53327, 55124, 51248, 52258, 66742, 68719, 65058, 71869, 50902, 51043, 57096, 52101, 65281, 50955, 52594, 58688, 52691, 51140, 51241, 53636, 66742, 51027, 68804, 59903, 51177, 51001, 51194, 73227, 50867, 51034, 57411, 51210, 59085, 51247, 50955, 51050, 50955, 57634, 50902, 63980, 51140, 50925, 60729, 53220, 51705, 51397, 53360, 51597, 50851, 51966, 51609, 50298, 50959, 79724, 51001, 51110, 65281, 50867, 52594, 59580, 51248, 52258, 51378, 51008, 50900, 74265, 63700, 51101, 80039, 73227, 56317, 62373, 67834, 51183, 54547, 51214, 51537, 50299, 50955, 68575, 50906, 51110, 50422, 60192, 53327, 51252, 51302, 50907, 59085, 51026, 51008, 50997, 51008, 73630, 50916, 51233, 50877, 51233, 73866, 54378, 61237, 58688, 53269, 51150, 58379, 56897, 50822, 52206, 52415, 50292, 70023, 51212, 50906, 51212, 50446, 62958, 67834, 50943, 59085, 51214, 50827, 78456, 70584, 67692, 60729, 53220, 51216, 51127, 73522, 50822, 51279, 51537, 50301, 50844, 50916, 51178, 58893, 75172, 73866, 50867, 52594, 55707, 51248, 52258, 51026, 78720, 50827, 50916, 51233, 50877, 51212, 55258, 52101, 50446, 51027, 60097, 50857, 52612, 50365, 51597, 50907, 79515, 51486, 50801, 50371, 54945, 51120, 50844, 50989, 50865, 50418, 50877, 50987, 68225, 52524, 53636, 51027, 52169, 50304, 77964, 52169, 50310, 50933, 75244, 51001, 79865, 50973, 72759, 53636, 51027, 50933, 60906, 65058, 50989, 62378, 51242, 50902, 51242, 78933, 60982, 50857, 67834, 51486, 50801, 50371, 54945, 51214, 51609, 50299, 50822, 50973, 63814, 50902, 68102, 50931, 52524, 53636, 51086, 52169, 50306, 64611, 73793, 71227, 51025, 51147, 79865, 50968, 52781, 53636, 77469, 50899, 61123, 63903, 72938, 50854, 50951, 69775, 50902, 60553, 50813, 68423, 64269, 50371, 54945, 51085, 66956, 50833, 50968, 53049, 53636, 50997, 51642, 70489, 50876, 62408, 51085, 51174, 60116, 50914, 53636, 51027, 51481, 50871, 58681, 62150, 51085, 64180, 54547, 68423, 51486, 50801, 50371, 54945, 51026, 51642, 50916, 59391, 51241, 50422, 51085, 51174, 51510, 53450, 53636, 51050, 51309, 50899, 63125, 51085, 52718, 53636, 51315, 50933, 50900, 52169, 50306, 68677, 50813, 56756, 60256, 73831, 51486, 50801, 56444, 78409, 51022, 51050, 51680, 50999, 51295, 50422, 50916, 59219, 71278, 58326, 53636, 50434, 50956, 51277, 55957, 52729, 53636, 50899, 51576, 50973, 51134, 51034, 51493, 64269, 50371, 54945, 51315, 52168, 50951, 51121, 63715, 63821, 51253, 50902, 51419, 50426, 53636, 50434, 51040, 51174, 50435, 51068, 53269, 51216, 50914, 53636, 70223, 50877, 51003, 51034, 51560, 64269, 50371, 54945, 51197, 51517, 50322, 51351, 66345, 51709, 51040, 75763, 51328, 50906, 71277, 51423, 50426, 53636, 50434, 51120, 51199, 55957, 52729, 51522, 50914, 53636, 51176, 51484, 50900, 51309, 50965, 66956, 50955, 51001, 52415, 50324, 50955, 51034, 52318, 64269, 50371, 54945, 51360, 75575, 51562, 50422, 51176, 51283, 50900, 64611, 58327, 69790, 53636, 50434, 70265, 50973, 53980, 51868, 50914, 53636, 50997, 51199, 50871, 63422, 51058, 50446, 51120, 50864, 51034, 51461, 64269, 50371, 54945, 51085, 51627, 51001, 51241, 50422, 51026, 51277, 50956, 64290, 54335, 53636, 50434, 51176, 53945, 51140, 50914, 53636, 51027, 62215, 55512, 68543, 50925, 78459, 64269, 50371, 54945, 51234, 51680, 51028, 51183, 50422, 51176, 51309, 51040, 51419, 50965, 58187, 53636, 50434, 51050, 64611, 51328, 50435, 51068, 54793, 51560, 50914, 53636, 51026, 57935, 50955, 51034, 51216, 64269, 50371, 54945, 51279, 51380, 50876, 51351, 50422, 51315, 51380, 51026, 51380, 50900, 61087, 68033, 53636, 50434, 51503, 59612, 51522, 50914, 53636, 51197, 51260, 50298, 51309, 66481, 74372, 50989, 65479, 60756, 50955, 67834, 51486, 50801, 50371, 54945, 51214, 51080, 50973, 51377, 50426, 53636, 51120, 51199, 51026, 51517, 50303, 51534, 50871, 51534, 50877, 51534, 50438, 53636, 50861, 51534, 78933, 50978, 68423, 51417, 53360, 52054, 51022, 51085, 51242, 50876, 51337, 50422, 50968, 50849, 53327, 58782, 51248, 52258, 51026, 51277, 50916, 67220, 70139, 50861, 50974, 55957, 53269, 51150, 50943, 54547, 51085, 51242, 50902, 51337, 50446, 75033, 52612, 51252, 51034, 50804, 50907, 59085, 51027, 51309, 50871, 69715, 51328, 64309, 51277, 50423, 61237, 58688, 53220, 51150, 51562, 73522, 50822, 51085, 50822, 51001, 51423, 50434, 51114, 51124, 52594, 55707, 51248, 52258, 51027, 50933, 67668, 51001, 50892, 67655, 61554, 62373, 50449, 51001, 51051, 68423, 51675, 50801, 56444, 78627, 51022, 51085, 50959, 50968, 51158, 50999, 60823, 53636, 68719, 68070, 50916, 67089, 75766, 51124, 50434, 50968, 58866, 53636, 50997, 51051, 64385, 50877, 69666, 50959, 50440, 67692, 50442, 50876, 51141, 50446, 51098, 51642, 68423, 51790, 50801, 50371, 54945, 51085, 58382, 53636, 50997, 51051, 73952, 50877, 53269, 53636, 73249, 64385, 50877, 69666, 50844, 50442, 50902, 65845, 59725, 73831, 51127, 73522, 50822, 51247, 51537, 50297, 50844, 50877, 51100, 51001, 51110, 68225, 50955, 53327, 55124, 51248, 52258, 51050, 50851, 51027, 51051, 70090, 50877, 51233, 50902, 51233, 57096, 52101, 50434, 59725, 52594, 58688, 52691, 51140, 51241, 53636, 51050, 50822, 51027, 68925, 62821, 51043, 51001, 51101, 50446, 70688, 51034, 57411, 51210, 59085, 51247, 50822, 51050, 59035, 75213, 68102, 51140, 50925, 60729, 53220, 51705, 51397, 53360, 51597, 50851, 51966, 50844, 51378, 50955, 50877, 51110, 51001, 51110, 65281, 50955, 52594, 59580, 51248, 52258, 51378, 51051, 50900, 78284, 62055, 60756, 51212, 50446, 53262, 50959, 50876, 56518, 62373, 67834, 51145, 54547, 51214, 50844, 51026, 70023, 51110, 50906, 51110, 64309, 50987, 53327, 51252, 51302, 50907, 59085, 78456, 50997, 52169, 50304, 78721, 51212, 50877, 51233, 50434, 58882, 50435, 61237, 58688, 53269, 51150, 51145, 50804, 56897, 50822, 52206, 50822, 51085, 73665, 51212, 50906, 51212, 50446, 65150, 51034, 59085, 51214, 50933, 51026, 78721, 68699, 50892, 60729, 53220, 51216, 51145, 73522, 50822, 51279, 51609, 50301, 50959, 50916, 51110, 59285, 50906, 51110, 50434, 60569, 52594, 55707, 51248, 52258, 51026, 53130, 50305, 50851, 50916, 59389, 51212, 55258, 52101, 67655, 50813, 52612, 50365, 51597, 50907, 79515, 51486, 50801, 50371, 54945, 51120, 50851, 78887, 50418, 50877, 50978, 68225, 53383, 53636, 51026, 51609 ]
[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 1007, 4, 6208, 38645, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 21072, 283, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 2369, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 11498, 10, 1769, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 381, 8, 163, 4620, 5, 46336, 24456, 9, 42, 20902, 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 ]	[ 63515, 53028, 75011, 50841, 51570, 53057, 51471, 50799, 51956, 50420, 51323, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51943, 66579, 50855, 51323, 50854, 51200, 51363, 50425, 51323, 56412, 78903, 51943, 51101, 50427, 51323, 54259, 51323, 79939, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 51404, 50901, 52074, 50879, 51943, 72759, 51323, 61985, 51943, 50866, 52074, 50866, 77492, 51323, 50892, 51200, 51003, 50449, 51823, 55178, 51943, 50901, 51404, 71364, 51323, 57313, 76710, 78903, 51823, 50845, 51323, 70634, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 50852, 55477, 51746, 51241, 51499, 51218, 51361, 53116, 50852, 61374, 52023, 50892, 51746, 55322, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 59842, 51200, 59960, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 64956, 60341, 51499, 51391, 51404, 51351, 51499, 79416, 52023, 51318, 51746, 51218, 51404, 51295, 69591, 51361, 52950, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52105, 50449, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 56015, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51499, 50959, 51404, 50897, 51404, 51353, 50799, 52023, 51312, 51499, 51253, 51404, 51109, 51746, 51267, 51499, 51353, 50852, 60740, 59824, 51499, 51351, 51404, 51351, 51404, 51295, 51499, 79416, 51746, 51134, 52023, 51189, 69386, 51361, 53116, 50852, 60604, 51746, 51177, 50443, 51499, 50987, 52023, 50901, 51404, 55200, 51499, 50978, 51404, 51183, 52261, 50448, 51499, 51101, 50449, 51746, 50987, 51323, 50905, 51404, 68366, 51943, 61600, 59842, 51323, 51177, 51746, 51100, 51200, 58667, 51499, 50873, 51404, 50892, 52093, 71634, 50892, 51943, 50845, 77492, 51323, 50905, 51200, 51353, 51404, 51353, 50852, 53227, 51323, 51467, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51943, 66579, 50855, 51323, 50854, 51200, 51363, 50425, 51323, 56412, 78903, 51943, 51101, 50852, 56344, 51323, 54259, 51323, 50925, 52105, 50433, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 51404, 50901, 52074, 50879, 51943, 72759, 51323, 71589, 53044, 51943, 50866, 52074, 50866, 77492, 51323, 50892, 51200, 51003, 52105, 50449, 51823, 55178, 51943, 50901, 51404, 59140, 53732, 56688, 51323, 57313, 76710, 78903, 51823, 50845, 51323, 50845, 52112, 50458, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 55919, 51362, 50852, 53889, 60854, 51746, 51241, 51499, 51218, 51361, 53116, 50852, 61374, 52023, 50892, 51746, 50873, 54488, 64966, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 55164, 74037, 51200, 59960, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 54488, 51048, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 64956, 60341, 51499, 51391, 51404, 51351, 51499, 51218, 52328, 53049, 52023, 51318, 51746, 51218, 51404, 51295, 50816, 53732, 52925, 52328, 51116, 70658, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52328, 51582, 58560, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 50845, 52328, 68215, 53732, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51404, 51353, 53146, 51400, 50799, 51404, 50854, 79536, 51200, 51109, 51943, 51056, 51404, 51056, 51323, 50915, 51200, 51353, 50852, 60740, 59824, 51200, 51318, 52328, 52710, 51404, 51218, 51323, 51189, 51404, 51318, 51943, 51295, 51323, 52392, 50852, 53889, 65898, 52328, 50914, 51361, 53116, 50852, 61374, 51404, 50977, 53146, 58991, 51943, 50892, 51404, 51121, 51323, 51121, 52261, 50445, 51200, 50866, 50449, 51823, 51100, 52328, 55125, 51200, 54539, 55164, 65134, 51404, 50866, 51323, 50977, 76710, 51943, 50845, 50455, 52333, 57313, 51404, 53259, 52093, 50457, 51200, 50977, 51943, 50892, 51404, 50901, 51323, 73827, 53146, 51241, 71634, 51353, 51404, 51353, 50852, 56813, 51200, 50892, 51943, 50892, 51404, 50845, 51323, 55689, 51323, 50839, 51323, 51187, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51200, 50834, 51943, 66579, 50855, 51323, 66659, 51323, 53855, 51943, 50820, 51323, 50942, 51404, 50892, 51943, 51101, 51200, 51194, 50816, 53732, 56344, 51323, 54259, 51323, 50841, 51323, 50833, 52105, 50433, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 52074, 50884, 51404, 50901, 51943, 72759, 52074, 50937, 51323, 71589, 53044, 51200, 50937, 51943, 50866, 52074, 50977, 77492, 51323, 50892, 52105, 50449, 51823, 50839, 51823, 55178, 51943, 50839, 51404, 50829, 51404, 50866, 51200, 50892, 51943, 57957, 53732, 56688, 51323, 50828, 69438, 50455, 51823, 52579, 51200, 50839, 51943, 50829, 51404, 50841, 51323, 50820, 51404, 50901, 51823, 50845, 51323, 50892, 52112, 50457, 51200, 77930, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 50852, 53889, 60854, 51746, 51241, 51499, 51218, 51361, 53116, 55919, 58474, 61374, 52023, 50892, 51746, 55322, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 54488, 51095, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 55164, 74037, 51200, 50977, 54488, 51157, 50456, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 53227, 52328, 51346, 52105, 50425, 51499, 51391, 51404, 51351, 51499, 79416, 52023, 51318, 51746, 51218, 51404, 51295, 50816, 53732, 52925, 52328, 51215, 70658, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52105, 50445, 52328, 61495, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 50845, 52328, 51124, 50816, 53732, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51404, 51353, 53146, 51346, 50799, 51404, 50854, 79536, 51200, 51109, 51943, 51056, 51404, 51056, 51323, 50915, 51200, 51353, 50852, 60740, 59824, 51200, 51318, 52328, 53906, 51404, 51218, 51323, 51189, 51404, 51318, 51943, 51295, 51323, 52392, 50852, 53889, 65898, 52328, 51162, 51361, 53116, 50852, 61374, 51404, 50977, 53146, 55040, 51943, 50892, 51404, 51121, 51323, 51121, 52261, 50445, 51200, 50866, 50449, 51823 ]
[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 4246, 17691, 28430, 6, 2370, 21305, 6, 8, 1515, 21305, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 10686, 13, 822, 4, 590, 10, 86, 6543, 9, 290, 73, 306, 8, 10, 27841, 139, 20889, 6, 24, 3136, 15682, 149, 10, 33215, 16739, 9, 211, 6, 230, 6, 211, 6, 1918, 6, 8, 163, 428, 11, 5, 762, 9, 272, 3694, 6, 5203, 11, 10, 765, 53, 9066, 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 ]	[ 50799, 50643, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 50799, 52285, 51492, 58048, 51492, 62005, 51492, 50796, 50796, 50796, 50799, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 50799, 52285, 51492, 58048, 51492, 62005, 51492, 50796, 50796, 50796, 50799, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 58106, 52285, 51492, 58048, 51492, 62005, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25771, 2214, 19, 10, 182, 1769, 20889, 6, 4246, 21072, 6, 21979, 8669, 6, 2236, 1021, 2678, 29, 6, 38668, 2236, 6, 8, 31391, 1672, 9590, 4, 20, 19448, 8, 15352, 30054, 15229, 16, 278, 11, 272, 3694, 8, 204, 73, 306, 86, 6, 19, 5, 40286, 211, 406, 8, 272, 119, 19983, 1328, 6, 2351, 41, 11653, 8, 5679, 26709, 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 ]	[ 77629, 50759, 50304, 51362, 50727, 50292, 70756, 60574, 51175, 50727, 50299, 59591, 60311, 51175, 50727, 50304, 65651, 60574, 50940, 50727, 50299, 50952, 50799, 58478, 51235, 50727, 50302, 68907, 58478, 51235, 50727, 50302, 76183, 60574, 51173, 50727, 50299, 55260, 50759, 50307, 51173, 50727, 50295, 51060, 50799, 50759, 50304, 51235, 50727, 50292, 51345, 50432, 60574, 50893, 50727, 50299, 59591, 60311, 51235, 50727, 50304, 55764, 60574, 50858, 50727, 50299, 50940, 50799, 58478, 51175, 50727, 50302, 68907, 58478, 51175, 50727, 50302, 76183, 60574, 51227, 50727, 50299, 51175, 50799, 50759, 50304, 66196, 50893, 51206, 55300, 51354, 50727, 50292, 68907, 50852, 59004, 65846, 60574, 72649, 50940, 51170, 51014, 50727, 50299, 50948, 53550, 76714, 54465, 60311, 51175, 51718, 51657, 50894, 50727, 50304, 65399, 50852, 64493, 54712, 60574, 56956, 66572, 50894, 50727, 50299, 50952, 50799, 58478, 72706, 51235, 75750, 51388, 50727, 50302, 51173, 51039, 53803, 58478, 51235, 50852, 50925, 51236, 51014, 50727, 50302, 51175, 51974, 50948, 51170, 55734, 60574, 63944, 50893, 51190, 51372, 51021, 50727, 50299, 50893, 51180, 54004, 50759, 50307, 51173, 50852, 50942, 51270, 54966, 50894, 50727, 50295, 55000, 51270, 53211, 50804, 70159, 60381, 51014, 50799, 50759, 50304, 72706, 51173, 51190, 51372, 50923, 51383, 50813, 50727, 50292, 51345, 68072, 50852, 50959, 51236, 65846, 60574, 54187, 50940, 51170, 51014, 50727, 50299, 50948, 53550, 50948, 51892, 50444, 60311, 51235, 76994, 50894, 50727, 50304, 55260, 50852, 50917, 51240, 63695, 60574, 53474, 61757, 50962, 50727, 50299, 50940, 50799, 58478, 72649, 50893, 75750, 51021, 50727, 50302, 51173, 51039, 53803, 58478, 51175, 50852, 50897, 51236, 51014, 50727, 50302, 51175, 51974, 50940, 51170, 55734, 60574, 63924, 50948, 51190, 51372, 51014, 50727, 50299, 51175, 51180, 53140, 50852, 50925, 51270, 60381, 62172, 51270, 53211, 50804, 70159, 60381, 50894, 50799, 50759, 50304, 58249, 50893, 51190, 52272, 61391, 72432, 50883, 50979, 64143, 50909, 50883, 50727, 50292, 51173, 51039, 50844, 50885, 61122, 55969, 58149, 52247, 50852, 55210, 51014, 50885, 61346, 56977, 57750, 53308, 60574, 72649, 50948, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 50948, 51892, 50885, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 51175, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 55260, 50852, 73893, 51014, 50885, 61346, 56977, 57750, 53702, 60574, 56956, 61757, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50859, 50799, 58478, 72706, 80037, 51021, 51892, 50885, 50883, 50979, 64143, 59902, 50909, 50883, 50727, 50302, 51173, 51039, 50857, 50885, 61122, 55969, 59978, 56990, 52247, 58478, 51235, 50852, 55210, 51014, 50885, 61346, 56977, 60014, 56990, 50849, 50727, 50302, 51175, 51974, 50940, 51170, 63473, 61122, 55969, 59978, 56990, 52322, 60574, 63944, 50948, 51170, 51021, 52068, 50885, 50883, 50979, 64143, 50939, 68341, 50883, 50727, 50299, 50893, 51180, 58392, 61122, 55969, 59978, 56990, 52610, 50759, 50307, 51173, 50852, 61639, 51014, 51270, 65412, 61346, 56977, 60014, 56990, 50849, 50727, 50295, 55000, 51270, 52579, 50804, 70159, 65412, 61122, 55969, 59978, 56990, 50806, 50799, 50759, 50304, 72706, 80037, 51021, 51190, 52272, 65412, 50883, 50979, 64143, 50909, 50883, 50727, 50292, 51345, 51039, 58392, 61122, 55969, 58149, 52247, 50852, 50897, 51236, 51014, 50885, 61346, 56977, 57750, 53308, 60574, 54187, 50940, 51170, 51014, 50885, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 55417, 73945, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 51175, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 55260, 50852, 59922, 58806, 51014, 50885, 61346, 56977, 57750, 50849, 79697, 50908, 52145, 61733, 50832, 53553, 60574, 53474, 61757, 55607, 64358, 61122, 55969, 69140, 50727, 50299, 67320, 68097, 52215, 57243, 68097, 50799, 58478, 72649, 80037, 51014, 54659, 65622, 50883, 50979, 64143, 59902, 50909, 50883, 50727, 50302, 51173, 50416, 77038, 51921, 64159, 50832, 61044, 53187, 65832, 61122, 55969, 59978, 56990, 50806, 66049, 50835, 52111, 58646, 50832, 52762, 58478, 51175, 50852, 50897, 51236, 66224, 62168, 61346, 56977, 60014, 56990, 50849, 50727, 50302, 51175, 50428, 50832, 50834, 51999, 59651, 50832, 50834, 51974, 66034, 54763, 50962, 50885, 61122, 55969, 59978, 56990, 66454, 50832, 50820, 52224, 56305, 50832, 52950, 60574, 63924, 50940, 51170, 51014, 55088, 64937, 50883, 50979, 64143, 50939, 68341, 50883, 50727, 50299, 51175, 50440, 50832, 50839, 52260, 60371, 50832, 73816, 53187, 64937, 61122, 55969, 59978, 56990, 75237, 50832, 50839, 52283, 58560, 50832, 52725, 50852, 64206, 54966, 52973, 64354, 61346, 56977, 60014, 56990, 50849, 50452, 69536, 52145, 58729, 60425, 50832, 53217, 50832, 58847, 60381, 63473, 61122, 55969, 59978, 56990, 69810, 77038, 52215, 57995, 77038, 54309, 51362, 53216, 51541, 51813, 51541, 51882, 58747, 51016, 51206, 58949, 61391, 72432, 50883, 50979, 64143, 50909, 50883, 50727, 50304, 50859, 51039, 50844, 50885, 61122, 55969, 58149, 52247, 50852, 55210, 51014, 52819, 51328, 50885, 61346, 56977, 57750, 53308, 54311, 51362, 53216, 51090, 51813, 51541, 51882, 51091, 60574, 57603, 50940, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 51175, 51190, 63467, 62773, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 50948, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 58631, 51727, 51227, 53216, 51427, 51813, 51427, 51882, 55568, 61363, 61639, 51014, 52819, 51242, 50885, 61346, 56977, 57750, 53702, 60574, 50952, 51170, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50855, 54309, 51343, 53216, 51496, 51813, 51496, 51882, 50983, 57698, 72649, 51016, 51170, 51021, 51892, 50885, 50883, 50979, 64143, 50909, 50883, 50727, 50307, 51173, 51039, 50857, 50885, 61122, 55969, 58149, 52247, 57698, 51175, 50852, 55210, 51014, 52819, 51277, 50885, 61346, 56977, 57750, 50849, 50727, 50307, 70756, 54311, 66196, 80037, 63473, 61122, 55969, 58149, 52322, 54827, 58804, 51175, 51170, 51021, 51230, 63467, 62773, 50883, 50979, 64143, 50909, 50883, 50727, 50306, 51173, 51180, 58392, 61122, 55969, 58149, 52610, 51727, 51227, 60311, 51215, 51224, 61363, 68195, 60381, 51014, 52819, 51337, 50885, 61346, 56977, 57750, 50849, 50727, 50304, 68454, 51270, 52579, 51270, 65412, 61122, 55969, 69140, 54309, 51364, 53216, 51541, 51813, 51541, 51882, 58747, 51016, 76994, 51021, 51383, 65412, 50883, 50979, 64143, 50909, 67385, 58392, 61122, 55969, 58149, 52247, 50852, 50897, 51236, 51014, 52819, 60925, 61346, 56977, 57750, 53308, 54311, 51362, 51882, 50807, 53216, 50896, 51813, 51090, 60574, 54070, 50948, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 51175, 51718, 63467, 51173, 50885, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 53538, 50897, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 57322, 51727, 51290, 53216, 51427, 51882, 50991, 51813, 73328, 56285, 73893, 51014, 52819, 51174, 50885, 61346, 56977, 57750, 53702, 60574, 69734, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50858, 54309, 51343, 51813, 52195, 51882, 51291, 53216, 51551, 57698, 63388, 51290, 51170, 51014, 51892, 50885, 50883, 50979, 64143, 50909, 50883, 50727, 50307, 50893, 51039, 58392, 61122, 55969, 58149 ]
[ 0, 250, 19448, 8, 15352, 30054, 3495, 13305, 2125, 11, 211, 538, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 11926, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 211, 119, 6, 83, 6, 211, 119, 6, 12608, 6, 8, 211, 4, 20, 5540, 13305, 819, 31473, 1495, 157, 7, 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 ]	[ 56103, 50451, 51099, 51210, 50454, 51308, 65628, 51275, 51134, 50457, 51198, 51283, 51869, 51283, 51706, 52136, 52478, 51777, 54691, 50430, 51275, 58685, 51275, 57869, 51494, 57032, 51708, 55812, 50436, 51280, 55812, 51275, 53280, 50455, 51777, 52782, 50458, 51275, 51269, 50460, 51435, 51862, 65364, 55776, 51099, 56329, 51198, 58468, 51639, 54836, 50423, 51275, 52056, 50437, 51275, 51337, 50444, 51435, 52460, 50450, 51639, 51470, 50454, 51275, 75574, 51639, 54573, 52177, 52477, 54573, 50425, 51144, 77263, 50433, 51280, 57070, 50441, 51275, 51376, 50445, 51777, 51432, 50449, 51869, 54557, 51275, 51703, 50455, 52040, 59170, 62673, 53024, 50421, 51153, 51862, 50424, 51429, 52192, 50428, 51153, 51172, 51561, 51852, 50435, 51198, 51824, 50439, 51847, 51365, 50443, 51280, 53161, 50449, 51837, 51128, 51153, 50891, 60212, 51837, 52136, 50427, 51153, 51419, 50431, 52746, 56329, 50439, 51280, 63667, 50456, 51308, 61545, 51847, 51318, 51099, 51448, 51308, 51115, 50460, 52533, 53486, 75695, 51153, 51074, 50433, 51308, 61929, 53483, 53957, 51494, 54848, 51119, 51852, 51280, 54861, 50447, 51708, 51319, 50454, 51494, 51314, 50457, 51275, 65019, 51119, 55812, 50461, 51578, 51004, 51809, 52353, 51242, 50420, 59150, 59953, 51153, 66007, 51119, 50941, 50439, 51119, 64524, 51119, 51477, 50449, 51964, 52980, 50455, 51561, 52025, 70781, 52063, 50423, 51512, 52462, 50429, 51847, 52441, 51099, 52598, 50430, 52746, 70316, 50447, 51847, 59821, 50452, 51869, 56373, 51119, 52782, 50456, 51099, 52731, 50460, 51494, 54557, 52176, 53674, 50461, 51280, 58898, 69341, 53646, 51123, 50430, 51964, 60952, 52537, 69876, 56686, 51142, 50439, 56387, 51318, 50459, 51099, 51432, 51601, 51308, 51254, 50419, 53366, 54228, 51275, 52188, 50426, 51198, 51365, 50434, 51099, 51697, 50440, 51275, 51080, 50447, 51708, 55086, 50454, 51198, 52946, 50799, 51777, 51862, 50418, 51275, 51524, 50422, 51777, 54146, 50426, 51275, 52167, 50430, 51869, 61653, 51639, 57032, 50438, 51706, 63160, 50446, 51198, 61124, 50452, 51099, 51738, 51275, 51806, 51308, 53957, 52478, 51308, 50955, 51275, 50937, 51099, 72029, 51144, 51210, 51435, 50849, 51099, 50933, 51308, 71699, 51489, 51142, 51232, 51824, 50432, 51561, 51126, 51639, 59383, 51275, 51550, 50435, 51198, 51269, 50439, 51639, 51097, 51512, 51645, 51153, 69506, 52176, 51490, 50446, 52477, 51562, 50457, 51429, 51337, 51144, 50974, 51275, 51194, 51601, 53483, 51269, 50418, 51869, 53280, 51777, 51006, 79633, 51429, 62791, 51275, 64644, 53366, 50984, 50428, 51639, 50978, 50431, 51435, 56524, 51639, 51134, 50436, 51435, 51306, 51964, 51309, 50443, 51869, 51166, 50449, 51280, 50984, 50452, 51198, 51524, 50455, 51561, 51961, 50458, 51099, 52025, 50799, 51639, 50904, 51837, 51008, 51153, 54861, 50427, 68089, 51662, 50431, 53629, 59880, 53629, 51675, 50441, 51964, 54848, 50449, 51869, 55765, 50457, 51561, 51269, 52177, 68089, 51134, 50419, 55165, 52048, 50420, 53629, 51253, 50424, 52785, 54848, 50433, 51964, 55584, 50439, 52353, 51051, 50443, 52929, 51142, 50447, 52353, 53588, 50454, 53038, 56458, 59649, 63667, 50422, 51198, 52101, 50428, 52746, 51314, 50442, 51706, 55584, 50450, 51837, 53486, 50453, 51153, 78473, 51153, 51627, 51601, 51708, 53055, 50422, 51561, 54228, 50431, 51280, 74553, 50437, 51308, 51365, 50440, 51119, 51432, 50445, 51308, 52519, 52176, 63160, 50452, 51708, 53801, 50461, 51119, 51365, 51809, 51512, 52946, 50420, 51099, 52482, 50427, 51869, 53055, 50434, 51198, 56123, 50440, 52353, 77388, 52778, 59323, 52709, 52835, 50452, 51708, 51466, 50457, 51494, 51432, 50458, 52353, 59496, 52778, 51269, 51601, 52353, 56115, 52929, 77946, 52353, 72100, 52649, 55665, 51869, 53161, 53519, 60847, 52176, 51258, 50443, 52353, 61495, 52353, 51056, 50454, 51708, 51381, 51494, 50932, 50460, 51837, 50982, 52177, 52461, 58218, 52040, 51126, 51099, 51128, 50428, 53481, 50987, 50431, 65510, 68163, 59150, 62517, 75958, 51051, 50652, 50349, 58159, 59150, 64847, 53481, 50809, 51489, 59012, 59150, 65415, 52070, 77219, 53481, 50891, 51489, 51297, 69378, 50825, 58889, 63222, 53481, 53227, 51489, 51470, 59150, 51524, 68337, 70852, 53481, 69156, 58889, 59045, 51275, 51851, 50431, 55374, 51004, 51777, 60622, 58889, 51878, 51275, 52598, 50456, 55165, 50984, 50457, 51777, 71133, 50459, 58889, 53957, 50460, 51275, 60326, 50461, 51489, 54060, 50799, 55165, 51824, 50418, 57473, 52946, 51153, 55811, 50422, 53519, 52482, 51429, 54344, 50443, 51099, 52782, 50447, 51429, 51703, 50452, 51275, 52136, 54733, 51145, 51144, 52212, 69341, 51275, 64463, 51494, 52168, 50432, 51275, 51680, 52537, 51466, 53483, 67302, 51964, 79626, 53483, 51003, 52537, 50889, 51809, 51964, 51126, 50421, 53483, 51642, 50422, 51708, 50864, 52537, 51309, 50425, 51706, 51470, 50428, 51280, 51376, 50430, 52176, 52179, 51847, 51524, 50433, 53483, 52482, 51198, 51006, 50434, 52537, 51642, 50441, 52176, 51297, 50451, 51153, 51091, 50458, 52537, 51490, 51809, 53483, 52025, 51429, 65173, 51153, 74095, 51275, 51008, 50428, 51429, 52136, 50434, 53366, 51703, 50440, 52176, 57032, 50452, 51198, 79181, 51847, 74879, 51280, 51108, 51809, 52537, 51283, 50422, 51232, 51008, 50425, 51561, 51524, 50427, 51198, 51309, 50433, 52649, 51013, 50446, 72931, 50452, 51429, 51824, 50457, 52477, 51314, 51198, 51333, 51512, 50878, 51489, 50873, 56020, 52040, 61211, 50428, 51275, 65975, 51144, 51095, 51119, 51033, 51275, 51215, 50434, 51708, 50995, 50446, 52533, 51803, 50458, 51489, 50820, 51837, 57326, 51578, 50829, 51964, 51542, 57731, 53519, 50982, 51578, 51258, 51948, 78572, 52746, 51806, 50432, 53646, 51123, 50434, 54513, 54034, 52176, 51242, 51837, 73052, 51153, 60844, 51639, 51319, 50443, 51777, 71095, 51275, 56782, 51639, 50841, 52070, 50835, 51153, 50820, 52461, 50828, 52478, 51198, 63366, 55165, 63026, 51837, 62618, 53519, 51177, 51516, 51423, 50437, 52649, 58275, 51275, 51051, 50448, 53038, 58914, 51516, 64461, 51777, 51212, 52537, 51241, 53069, 51516, 53896, 51280, 51542, 50427, 54733, 51381, 50433, 51494, 53892, 50440, 52040, 52059, 53366, 51753, 50447, 51869, 63226, 51516, 50977, 50457, 52461, 50978, 50460, 52353, 51215, 53069, 51869, 53726, 50426, 51198, 56458, 50433, 52477, 51203, 50439, 52778, 50972, 50443, 52709, 51254, 50447, 54513, 51145, 51708, 53674, 50453, 51280, 55584, 50461, 51494, 52134, 53069, 51280, 51161, 50434, 51232, 51679, 50440, 51489, 51824, 51099, 51737, 50447, 51708, 52518, 50453, 51494, 51174, 51198, 52996, 51275, 50838, 50460, 52176, 51449, 53069, 51489, 50836, 51708, 65278, 50420, 52070, 54618, 50422, 51489, 72029, 51275, 62886, 51489, 51354, 50439, 51280, 54861, 50448, 53483, 50360, 50400, 50449, 51275, 51210, 50453, 51489, 72492, 52070, 79207, 51516, 51006, 51869, 58468, 51429, 50838, 52478, 53366, 53674, 50431, 51198, 68630, 51847, 71552, 52537, 51314, 51280, 51097, 50445, 51708, 52397, 50453, 51232, 51142, 50455, 51561, 51524, 50458, 51198, 51337, 52177, 52649, 51283, 51869, 51283, 50431, 51232, 50849, 51429, 59383, 51512, 51006, 50437, 51429, 62079, 51232, 50867, 51489, 54840, 51489, 51242, 50445, 51232, 51074, 50451, 52477, 50941, 51198, 58958, 51275, 50863, 51809, 51275, 58718, 51144, 58574, 52537, 60481, 51489, 75343, 52533, 51775, 50436, 51435, 51051, 51876, 54848, 50439, 52070, 59356 ]
[ 0, 250, 765, 37903, 9, 10, 1372, 8, 19448, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 17691, 28430, 8, 1021, 5901, 1243, 816, 5, 33301, 81, 10, 13305, 38963, 8913, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 8, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 406, 6, 274, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50450, 52714, 55405, 50309, 50807, 52303, 50807, 57117, 50807, 73410, 50983, 68150, 50983, 52303, 50983, 57117, 57345, 52355, 61008, 50309, 50795, 52303, 50795, 57117, 51646, 51784, 61008, 50307, 50795, 53075, 50795, 57117, 51918, 52186, 61008, 50306, 50795, 53075, 50795, 57117, 51798, 54108, 61008, 50306, 50795, 52303, 50795, 57117, 51923, 52714, 61008, 50306, 50795, 52303, 50795, 53722, 50795, 50799, 52355, 50983, 50730, 50307, 50983, 52303, 50983, 55677, 57345, 52278, 61008, 50307, 50795, 52303, 50795, 55677, 51646, 52278, 55405, 50307, 50807, 52303, 50807, 55677, 52728, 52186, 55405, 50308, 79260, 50807, 54437, 50807, 50799, 52355, 50983, 50730, 50307, 50983, 51476, 50983, 53369, 57345, 51784, 61008, 50307, 50795, 52326, 50795, 53369, 51646, 54649, 61008, 50307, 50795, 52326, 50795, 53369, 51918, 52714, 61008, 50307, 50795, 52326, 50795, 53369, 51798, 52355, 61008, 50307, 50795, 51476, 50795, 53369, 51923, 52278, 61008, 50307, 50795, 52326, 50795, 53369, 50795, 50799, 52714, 50983, 50730, 50306, 50983, 52303, 50983, 57117, 57345, 54649, 61008, 50307, 50795, 52690, 50795, 57117, 51646, 54108, 55405, 50306, 50807, 53075, 50807, 57117, 52728, 52714, 55405, 50309, 50807, 52303, 50807, 57117, 50807, 73410, 50983, 65621, 50983, 52303, 50983, 52557, 57345, 52173, 61008, 50313, 50795, 51476, 50795, 52557, 51646, 51802, 61008, 50312, 50795, 51410, 50795, 52557, 51918, 52186, 61008, 50312, 50795, 51410, 50795, 52557, 51798, 51784, 61008, 50312, 50795, 51687, 50795, 52557, 51923, 51900, 61008, 50312, 50795, 76351, 52557, 50795, 78321, 50983, 65621, 50983, 51231, 50983, 55677, 57345, 52278, 61008, 50307, 50795, 51687, 50795, 55677, 51646, 52186, 77979, 50807, 52102, 50807, 55243, 52728, 52355, 61008, 50308, 50807, 52102, 50807, 55243, 53312, 52278, 50795, 50799, 52714, 55405, 50309, 79364, 50807, 53369, 52910, 51900, 50918, 65621, 50918, 51303, 50918, 53369, 56811, 51784, 55405, 50313, 74701, 53369, 50807, 58106, 52186, 51161, 68150, 51161, 51410, 51161, 52557, 51161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 8, 33928, 3495, 14123, 22750, 1626, 8593, 26358, 19, 63, 15352, 30054, 3459, 8669, 8, 13305, 4798, 17130, 6, 2800, 30, 10, 5204, 12638, 1451, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 11498, 10, 7212, 20889, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 2351, 10, 33558, 8, 17627, 17274, 5466, 1969, 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, 0, 0, 0, 0 ]	[ 54458, 52129, 52116, 50798, 52163, 57221, 50799, 50682, 50328, 50930, 53760, 50808, 52569, 53618, 52244, 50682, 50330, 50993, 51959, 50820, 52569, 50839, 52930, 50813, 52569, 60980, 51973, 58644, 53632, 52119, 50682, 50328, 50803, 51959, 50834, 52930, 50820, 52569, 50813, 52569, 53352, 52057, 50682, 50330, 50976, 53760, 50808, 52569, 62067, 52284, 52930, 50835, 51959, 50886, 52569, 55106, 52116, 50682, 50328, 50976, 58644, 50854, 52569, 60665, 52163, 69143, 50854, 51959, 50820, 52569, 50820, 52930, 54200, 51779, 50803, 52198, 50803, 50799, 73604, 50950, 56223, 50812, 51959, 54923, 52244, 50682, 50326, 50975, 51959, 50825, 52930, 50834, 52092, 50857, 54282, 50864, 52092, 69652, 51973, 56223, 53590, 52119, 73604, 51010, 51959, 50825, 52092, 50835, 52930, 50829, 54282, 50904, 51959, 54806, 52057, 50682, 50326, 50975, 53760, 50833, 52092, 56426, 52284, 51959, 50835, 52092, 50829, 54282, 50863, 52930, 53352, 52116, 73604, 50976, 62422, 50854, 51959, 69959, 52163, 51959, 50813, 52092, 50855, 54282, 50886, 52930, 54597, 50803, 50799, 74704, 50803, 54117, 50833, 52427, 60922, 52244, 73604, 50976, 52627, 50834, 52427, 50886, 52569, 54345, 51973, 56223, 52972, 52119, 74704, 50962, 52427, 50867, 52569, 50862, 52627, 54597, 52057, 73604, 50860, 54117, 51747, 52284, 52427, 50867, 52569, 50862, 52627, 54597, 52116, 74704, 50806, 56223, 52972, 52163, 52427, 50857, 52569, 50855, 52627, 54597, 50803, 50799, 65119, 52379, 54117, 50808, 51771, 78706, 52244, 52427, 50857, 52092, 50855, 52627, 53352, 52801, 50804, 51973, 56223, 50854, 51816, 59486, 52119, 52427, 50857, 52092, 50855, 52627, 53352, 52057, 54117, 50833, 52158, 70306, 52284, 50679, 50275, 50833, 52427, 50857, 52092, 50854, 52569, 53632, 51779, 50803, 52612, 52116, 78742, 50854, 52427, 66711, 52163, 79353, 50854, 52627, 50834, 52427, 50862, 52092, 50862, 52569, 53303, 51779, 50803, 50799, 73604, 51012, 58644, 50854, 51959, 53948, 52244, 74704, 51012, 52158, 50813, 52627, 50862, 52577, 50854, 52158, 71441, 51973, 56223, 51747, 52119, 50682, 50322, 50821, 52158, 50855, 51816, 50844, 52577, 50833, 52627, 54806, 52057, 73604, 50976, 58341, 50812, 51959, 71160, 52284, 52158, 50862, 52577, 50862, 52627, 54597, 52116, 74704, 50802, 55704, 50808, 52158, 64861, 52163, 52158, 50862, 52577, 50855, 52627, 54806, 50803, 50799, 63198, 51870, 51915, 51003, 51959, 60881, 52244, 52158, 50857, 52577, 50862, 52627, 53352, 51973, 52447, 56001, 52119, 52158, 50855, 52577, 50813, 52627, 54597, 50803, 52594, 52057, 52331, 50914, 52775, 61011, 52284, 52158, 50862, 52577, 50862, 52627, 54597, 50803, 52612, 52116, 54117, 50943, 51771, 55530, 52163, 51959, 50805, 52577, 50849, 54462, 52918, 50803, 50799, 73109, 50882, 53760, 50854, 51959, 50862, 52569, 50862, 52930, 50862, 51959, 64250, 52244, 73604, 50976, 51959, 50839, 52569, 50854, 52930, 54172, 51973, 53760, 53632, 52119, 50682, 50328, 50812, 51959, 50862, 52569, 50862, 52930, 54597, 52057, 50682, 50332, 50976, 62422, 50859, 52092, 72213, 52284, 52092, 50822, 54282, 50822, 52930, 51779, 52116, 50682, 50330, 50976, 51482, 52972, 52163, 54282, 50862, 52092, 50822, 52930, 51779, 50803, 50799, 50682, 50328, 51795, 54117, 50812, 52158, 57787, 52244, 52158, 50835, 52092, 50867, 52569, 50867, 52627, 53352, 51973, 54117, 50854, 52577, 52015, 50798, 52119, 52158, 50813, 52092, 50857, 52569, 50862, 52627, 54597, 58198, 54117, 53945, 51915, 53590, 60295, 51915, 54394, 52447, 50933, 52158, 50839, 52577, 50862, 52627, 53303, 51779, 52116, 52331, 55759, 50803, 55350, 52163, 54117, 50933, 52158, 50841, 52577, 50840, 52627, 53303, 51779, 50803, 50799, 50682, 50328, 51010, 53760, 50854, 52569, 53983, 52244, 50682, 50330, 50802, 51959, 50839, 52569, 50862, 52930, 50855, 52569, 68798, 51973, 58644, 53632, 52119, 50682, 50328, 50858, 51959, 50839, 52569, 50855, 52930, 50836, 52569, 53119, 52057, 50682, 50330, 50860, 53760, 50833, 52569, 75751, 52284, 51959, 50862, 52569, 50854, 52930, 53497, 52116, 50682, 50328, 51505, 55704, 50854, 52577, 50886, 54462, 50857, 52569, 69959, 52163, 58341, 50854, 53234, 50810, 52627, 53590, 51779, 50803, 50799, 73604, 50950, 56223, 50854, 51959, 52784, 52244, 50682, 50326, 50976, 51959, 50839, 52092, 50862, 54282, 50854, 52092, 64544, 51973, 78742, 53632, 52119, 73604, 50803, 51959, 50855, 52092, 50836, 51959, 50854, 54282, 54172, 52057, 50682, 50326, 50976, 56223, 50854, 52092, 59407, 52284, 51959, 50839, 52092, 50855, 54282, 54597, 52116, 73604, 50802, 78742, 50844, 51959, 58610, 52163, 50679, 50276, 50822, 51959, 50862, 52092, 50836, 54282, 52784, 51779, 50803, 50799, 74704, 50950, 50679, 50275, 50854, 52427, 53197, 52244, 73604, 51505, 52427, 50857, 52569, 50855, 52627, 50857, 52427, 73325, 51973, 78742, 53632, 52119, 74704, 50950, 52427, 50857, 52569, 50855, 52627, 50862, 52427, 54172, 52057, 73604, 50802, 62761, 50833, 52427, 71160, 52284, 52627, 50820, 52427, 50862, 52569, 54345, 52116, 74704, 51505, 79353, 50854, 52427, 63477, 52163, 52627, 50835, 52427, 50862, 52569, 53497, 50803, 50799, 65119, 51505, 54117, 51255, 51771, 75751, 52244, 52627, 50863, 51959, 50862, 52092, 50862, 52569, 54597, 52801, 50804, 51973, 65119, 51505, 53760, 51255, 51771, 58610, 52119, 52627, 50834, 51959, 50813, 52092, 50862, 52569, 54806, 52057, 68475, 51012, 55704, 51255, 51771, 69607, 52284, 52627, 50834, 52427, 50886, 52569, 53352, 50803, 52612, 52116, 73109, 51138, 56223, 51221, 51771, 63477, 52163, 52627, 50839, 52427, 50813, 52569, 54806, 50803, 50799, 73604, 50823, 58644, 50854, 51959, 54035, 52244, 73604, 50803, 51771, 50803, 52158, 50803, 51959, 50803, 51959, 56369, 51973, 74704, 51300, 56223, 50833, 52158, 78711, 52119, 51771, 50803, 52158, 50803, 51959, 51779, 52057, 55704, 53590, 52284, 52126, 50803, 51771, 50803, 52158, 50803, 51959, 51779, 52116, 58644, 53590, 52163, 50682, 50322, 50882, 52126, 50803, 51771, 50803, 51816, 50844, 52158, 50803, 51959, 51779, 50803, 50799, 73604, 50976, 55704, 50808, 51959, 70811, 52244, 52126, 50857, 52158, 50813, 51959, 50855, 51771, 54806, 51973, 74704, 50860, 54117, 50810, 52158, 62067, 52119, 52158, 50836, 52126, 50833, 51771, 50854, 51959, 51779, 52057, 73604, 50860, 51915, 50854, 51959, 51411, 50798, 52284, 52126, 50862, 52158, 50813, 51771, 50854, 51959, 51779, 52116, 74704, 51012, 54117, 50833, 52158, 55568, 52163, 52158, 50855, 52126, 50833, 51771, 50833, 51959, 51779, 50803, 50799, 73109, 51870, 53760, 50808, 51816, 63732, 52244, 51816, 50813, 51959, 50803, 52092, 50833, 51890, 57990, 51973, 53760, 53590, 52119, 51816, 50836, 52092, 50840, 51890, 50808, 51959, 51779, 52057, 50682, 50333, 51009, 62761, 50812, 54057, 80174, 52284, 53464, 50862, 51890, 50833, 51771, 50833, 52158, 54806, 52116, 62761, 51747, 52163, 51890, 50833, 51771, 50833, 52158, 50925, 53464, 57990, 50803, 50799, 50682, 50333, 54217, 53760, 50859, 52930, 51448, 68153, 54024, 54117, 54507, 52331, 50887, 51816, 50862, 51959, 50862, 52569, 54597, 55054, 53180, 54218, 52710, 51915, 51670, 51779, 53300, 51482, 54742, 52749, 52191, 50840, 51816, 50862, 51959, 50862, 52569, 53630, 51779, 51998, 50435, 51726, 54742, 52841, 51425, 50803, 51816, 50862, 51959, 50862, 52569, 53630, 51779, 52116, 53760, 51264, 51816, 51353, 51959, 51353, 52569, 51353, 68153 ]
[ 0, 250, 2635, 8, 3722, 3495, 2125, 11, 230, 10431, 3694, 6, 42, 8787, 13305, 15229, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 2060, 406, 6, 230, 10431, 119, 6, 8, 2060, 6, 8216, 7, 63, 15352, 30054, 8, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 50799, 50619, 51040, 50830, 51966, 51036, 51378, 51036, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 60278, 50989, 56388, 59836, 57346, 50830, 51841, 51036, 51315, 51036, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 60278, 50989, 56388, 59836, 54206, 50830, 51799, 50918, 51120, 50918, 50418, 50989, 56908, 50877, 53244, 50899, 59161, 50989, 56080, 50877, 53402, 66432, 54637, 50918, 51324, 50918, 50442, 50861, 57225, 50973, 53484, 50899, 60278, 50861, 56388, 69315, 57346, 50830, 52759, 50918, 51360, 50918, 50418, 50871, 56908, 50973, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 50830, 52759, 50918, 51360, 50918, 50442, 50989, 57225, 50965, 53484, 51040, 60278, 50871, 56388, 76251, 56310, 50830, 51966, 51036, 51360, 51036, 51378, 51036, 50418, 51040, 56908, 50989, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 50830, 51028, 50991, 50454, 50989, 56388, 50877, 57814, 67243, 57346, 50830, 51028, 51161, 51247, 51036, 51360, 51036, 51050, 51036, 50418, 50965, 56908, 50973, 53244, 51040, 59161, 50965, 56080, 50973, 53402, 51040, 63792, 50965, 57225, 50973, 53484, 51040, 50830, 51028, 50991, 50454, 50965, 56388, 50973, 57814, 67243, 57346, 50830, 51966, 50918, 51378, 50918, 51028, 50918, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 66432, 54637, 50918, 51324, 68900, 50918, 50442, 50989, 57225, 50973, 53484, 50899, 60278, 50989, 56388, 69315, 57346, 50830, 51841, 50918, 51315, 50918, 51028, 50918, 50418, 50916, 56908, 50877, 53244, 51040, 59161, 50916, 56080, 50877, 53402, 66432, 50973, 50807, 51841, 50918, 51315, 50918, 50442, 50916, 57225, 50965, 53484, 66432, 50968, 50807, 50454, 50916, 56388, 76251, 57346, 50830, 50877, 50807, 51279, 51036, 51027, 51036, 50418, 50916, 56908, 50877, 53244, 51040, 59161, 50916, 56080, 50877, 53402, 51040, 63792, 50916, 57225, 50877, 53484, 51040, 60278, 50916, 56388, 59836, 53975, 50830, 51279, 51036, 51027, 51036, 50418, 50916, 56908, 50877, 53244, 50900, 59161, 50916, 56080, 50877, 53402, 50900, 63792, 50916, 57225, 50877, 53484, 64566, 71923, 50454, 50916, 56388, 50877, 57814, 56143, 53975, 50830, 50876, 51161, 51214, 51036, 51026, 51036, 50418, 50916, 56908, 50906, 53244, 50900, 59161, 50916, 56080, 50906, 53402, 50900, 63792, 50916, 57225, 50906, 53484, 64566, 71923, 50454, 50916, 56388, 50906, 57814, 56143, 53975, 50830, 51247, 71570, 55695, 51161, 50418, 50871, 56908, 50877, 53244, 64566, 51841, 50807, 51315, 50807, 50430, 50916, 56080, 50877, 53402, 64566, 52046, 50918, 51197, 50918, 50442, 50989, 57225, 50877, 53484, 51086, 50830, 50973, 50807, 50454, 50989, 56388, 59836, 57542, 50830, 51841, 50918, 51315, 73757, 50918, 50418, 50916, 56908, 50861, 53244, 51086, 59161, 50916, 56080, 50861, 53402, 64566, 51279, 72778, 50442, 50916, 57225, 50989, 53484, 76983, 51085, 57543, 50807, 50454, 50916, 56388, 77206, 57542, 50830, 51324, 73757, 50918, 50418, 50916, 56908, 50861, 53244, 51086, 59161, 50916, 56080, 50861, 53402, 51086, 50830, 54637, 50918, 51324, 73757, 50918, 50442, 50956, 57225, 50989, 53484, 51086, 60278, 50956, 56388, 77206, 55524, 50830, 51841, 52382, 51315, 52382, 50418, 50861, 56908, 50973, 53244, 50916, 59161, 50861, 56080, 50973, 53402, 50916, 63792, 50965, 57225, 50973, 53484, 65927, 50968, 51054, 50454, 50965, 56388, 69315, 55524, 50830, 50931, 51161, 50418, 50877, 56908, 50876, 53244, 65927, 51279, 53531, 50301, 51054, 50430, 50877, 56080, 50876, 53402, 65927, 51085, 53531, 50304, 51054, 50442, 50877, 57225, 50876, 53484, 65927, 51279, 53531, 50301, 53531, 50319, 51054, 50454, 50877, 56388, 56251, 55524, 50830, 50968, 51161, 51841, 56073, 51315, 56073, 50418, 50965, 56908, 50973, 53244, 50916, 59161, 50965, 56080, 50973, 53402, 50916, 63792, 50965, 57225, 50973, 53484, 65927, 50968, 51054, 50454, 50965, 56388, 69315, 55524, 50830, 50931, 51161, 50418, 50877, 56908, 50876, 53244, 65927, 51279, 53531, 50301, 51054, 50430, 50877, 56080, 50876, 53402, 65927, 51085, 53531, 50304, 51054, 50442, 50877, 57225, 50876, 53484, 65927, 51279, 53531, 50301, 53531, 50319, 51054, 50454, 50877, 56388, 56251, 55524, 50830, 51841, 51527, 51315, 51527, 50968, 50918, 50418, 50965, 56908, 50973, 53244, 50916, 59161, 50965, 56080, 50973, 53402, 65927, 52759, 51527, 51360, 51527, 50968, 51527, 50442, 50861, 57225, 50906, 53484, 50916, 60278, 50861, 56388, 60074, 55524, 50830, 53492, 51527, 51234, 51527, 50968, 50918, 50418, 50989, 56908, 51028, 53244, 50916, 59161, 50989, 56080, 51028, 53402, 66432, 54637, 51527, 51324, 51527, 50902, 51527, 50442, 50989, 57225, 50973, 53484, 50899, 60278, 50989, 56388, 69315, 53975, 50830, 51841, 51527, 51315, 51527, 50876, 50918, 50418, 50916, 56908, 50861, 53244, 50900, 59161, 50916, 56080, 50861, 53402, 51086, 50830, 51247, 51527, 51050, 51527, 50973, 51527, 50442, 50899, 57225, 50965, 53484, 51086, 60278, 50899, 56388, 76251, 59130, 51014, 51966, 51527, 50989, 51527, 50418, 51086, 51014, 63715, 61177, 51378, 51014, 50430, 51086, 78137, 50899, 62591, 51378, 51014, 50989, 53531, 50286, 51527, 50442, 51086, 51014, 50446, 51040, 61208, 51378, 51014, 50989, 51054, 50454, 50997, 75183, 51040, 51014, 57542, 51014, 54637, 52208, 51966, 52208, 51324, 52208, 50418, 50899, 51014, 50422, 50989, 51014, 53337, 51014, 50430, 50989, 78137, 50973, 62591, 50989, 51014, 50442, 50973, 51014, 50446, 50902, 61208, 50989, 51014, 51114, 51460, 50454, 50973, 75183, 50902, 51014, 50459, 51114, 50894, 57126, 50830, 51114, 52369, 51234, 52208, 51378, 52208, 50997, 52208, 50418, 51028, 56908, 50968, 53244, 50989, 59161, 51028, 56080, 50968, 53402, 50989, 63792, 51028, 57225, 50968, 53484, 77206, 51114, 51460, 50454, 51028, 56388, 50968, 57814, 51114, 50894, 57126, 50830, 51324, 50918, 51086, 50918, 51114, 51527, 50418, 50973, 56908, 50902, 53244, 50989, 59161, 50973, 56080, 50902, 53402, 61617, 51503, 50807, 51176, 59351, 51054, 50442, 50973, 57225, 50902, 53484, 77206, 51966, 50807, 51378, 73412, 51054, 50454, 50973, 56388, 60537, 57190, 50830, 51247, 51161, 51360, 51161, 51050, 51161, 51147, 51161, 50418, 50973, 56908, 51028, 53244, 50965, 59161, 50973, 56080, 51028, 53402, 50965, 63792, 50973, 57225, 51028, 53484, 76251, 51247, 50807, 51360, 71570, 78210, 50807, 50454, 50973, 56388, 51028, 50830, 54852, 50830, 51966, 50918, 51360, 50918, 51378, 50918, 50999, 50918, 50418, 51028, 56908, 51114, 53244, 50877, 59161, 51028, 56080, 51114, 53402, 76251, 54637, 50807, 51324, 78210, 50807, 50442, 50973, 57225, 50902, 53484, 54637, 50830, 51324, 50830, 77206, 51114, 50807, 50454, 50877, 56388, 65133, 56229, 50830, 52759, 51036, 51360, 51036, 50418, 50871, 56908, 50965, 53244, 51028, 50830, 51028, 63057, 50807, 74413, 56080, 50965, 53402, 60537, 50902, 64953, 50442, 50871, 57225, 50965, 53484, 69315, 50973, 60939, 50807, 50454, 50871, 56388, 76251, 75697, 51036, 51360, 51036, 50418, 50871, 56908, 50965, 53244, 51040, 50830, 51040, 73685, 50807, 74413, 56080, 50965, 53402, 66432, 50899, 59153, 50807, 50442, 50871, 57225, 50965, 53484, 51086, 50830, 51086 ]
[ 0, 250, 15352, 30054, 3495, 8, 11057, 24904, 2125, 6, 42, 2214, 22750, 1626, 11098, 8, 26545, 4, 2595, 10312, 30, 41, 12547, 9, 30062, 620, 7085, 12280, 642, 6, 21072, 6, 769, 196, 6757, 6, 13305, 6, 8, 2724, 368, 31365, 25999, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 2060, 538, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 401, 8, 230, 119, 6, 8216, 7, 63, 32625, 13569, 9862, 4, 590, 10, 13428, 9, 29065, 2397, 6, 24, 18, 10, 24897, 3251, 149, 10, 11739, 9, 23409, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50438, 50913, 55368, 50913, 50971, 53721, 60801, 50913, 55735, 50856, 56138, 78693, 51132, 51803, 51755, 59220, 62073, 55217, 52386, 50304, 51714, 50420, 51236, 56685, 54731, 50309, 54869, 51170, 55217, 78176, 54342, 53360, 51586, 56685, 54191, 50316, 51313, 50438, 51236, 55217, 79392, 50965, 51318, 50444, 51236, 57258, 51297, 50445, 51533, 51534, 50450, 51240, 55217, 51000, 50455, 50989, 53581, 50852, 64371, 56685, 51297, 50457, 51957, 50838, 51755, 50904, 51248, 51586, 55217, 52386, 50304, 52222, 50871, 51411, 50415, 51132, 52071, 50420, 51236, 56685, 51297, 50421, 50956, 51662, 50426, 51170, 55217, 70001, 50871, 52015, 50432, 53360, 51586, 56685, 54191, 50312, 51447, 50438, 51236, 55217, 57522, 51236, 57258, 60258, 51240, 55217, 51000, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 51803, 76945, 52069, 50420, 51236, 56685, 51297, 50421, 50871, 76906, 51170, 55217, 70202, 68766, 53360, 51586, 56685, 54191, 50314, 56656, 51236, 55217, 57522, 51236, 57258, 54731, 50312, 50981, 50445, 51533, 51534, 50450, 50852, 78737, 55217, 51000, 56672, 59608, 56685, 54731, 50310, 51576, 50457, 51957, 51328, 51755, 50904, 51248, 51586, 55217, 52386, 50304, 52071, 50415, 51132, 52071, 50420, 51236, 56685, 54731, 50307, 51662, 50426, 51170, 55217, 75868, 51749, 50432, 53360, 53323, 64371, 56685, 54191, 50312, 51419, 50438, 51236, 55217, 57522, 51236, 57258, 51297, 50445, 50876, 52256, 50447, 51170, 54915, 51240, 54940, 70185, 51240, 51297, 56672, 50372, 52526, 50366, 51613, 54800, 51297, 51755, 50904, 51248, 52526, 64371, 55217, 50971, 51132, 55277, 50900, 54143, 50871, 53478, 50876, 53478, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79392, 65167, 56306, 51236, 57258, 60258, 51240, 55217, 51000, 50455, 50723, 50307, 51363, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 66981, 50723, 50310, 51939, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 71598, 50900, 64488, 51236, 55217, 75770, 51535, 50444, 51236, 57258, 54731, 50314, 50995, 50449, 51533, 78271, 51240, 55217, 51000, 50455, 51957, 54298, 56672, 64371, 56685, 54731, 50316, 51051, 50461, 50900, 52151, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 53413, 50871, 52335, 50420, 51236, 56685, 61288, 51170, 55217, 64463, 50723, 50310, 53911, 53360, 51586, 56685, 73370, 66964, 74610, 51236, 55217, 57522, 51236, 57258, 60258, 51240, 55217, 78454, 50723, 50310, 50955, 56672, 64371, 56685, 51297, 50460, 50723, 50310, 51242, 50461, 51050, 51391, 51755, 50904, 51248, 51586, 55217, 72428, 50900, 60726, 51236, 56685, 51297, 65167, 51742, 50426, 51170, 55217, 75868, 79309, 53360, 51586, 56685, 54191, 50316, 51351, 50437, 51132, 57937, 51236, 55217, 57522, 51456, 64371, 57258, 54731, 50314, 51397, 50450, 51456, 60381, 55217, 51000, 51132, 65632, 51381, 50455, 51533, 51242, 56672, 50372, 53823, 55217, 54731, 50309, 51534, 51755, 50904, 71891, 59548, 55217, 50971, 51132, 55482, 50900, 62557, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79743, 50931, 51452, 50443, 65167, 75115, 51236, 57258, 51297, 50445, 50876, 52168, 50450, 51240, 55217, 78454, 50723, 50307, 50959, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 50723, 50310, 70589, 51236, 56685, 51297, 50421, 50723, 50310, 65785, 51170, 55217, 64463, 50723, 50310, 52783, 50432, 53360, 51586, 56685, 54191, 50310, 50981, 50437, 50965, 72762, 51236, 55217, 57522, 51236, 57258, 51297, 51533, 59478, 57105, 51240, 55217, 52666, 50310, 51121, 56672, 64371, 56685, 51297, 51957, 55512, 51423, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 53413, 50871, 51452, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79392, 66964, 56306, 51236, 57258, 60258, 51240, 55217, 51000, 50455, 50723, 50310, 54194, 50852, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 50723, 50310, 51328, 50420, 51236, 56685, 51297, 65167, 72440, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 51000, 51132, 51008, 50965, 51095, 50441, 50876, 51267, 54141, 55217, 51297, 51132, 51962, 50317, 54230, 53360, 51071, 76922, 50372, 58934, 55217, 51000, 51533, 67883, 77304, 50920, 51297, 50458, 51001, 50886, 51755, 50372, 52526, 64371, 55217, 50971, 51640, 55116, 51040, 52140, 50989, 51692, 55997, 64371, 56685, 51297, 50421, 50906, 51662, 51768, 61391, 55217, 52386, 50317, 52168, 50431, 57249, 53911, 53360, 51259, 64371, 56685, 51128, 55957, 75753, 57249, 53264, 50856, 64371, 55217, 79392, 60530, 55200, 51236, 57258, 51297, 50449, 54783, 50905, 51955, 60381, 55217, 51000, 56672, 64371, 56685, 51297, 66964, 50844, 51755, 50904, 51248, 51586, 55217, 50971, 59659, 51400, 55997, 64371, 56685, 51297, 50425, 60530, 50901, 51768, 61391, 55217, 55487, 53360, 51259, 64371, 56685, 51128, 59659, 51417, 55957, 51297, 56797, 64371, 55217, 57522, 51236, 57258, 51297, 51955, 60381, 55217, 51000, 51640, 68369, 51100, 50453, 69429, 56672, 64371, 56685, 54731, 50317, 50849, 51755, 50904, 51248, 51586, 55217, 50971, 51602, 53413, 50876, 51351, 50965, 51945, 55997, 64371, 56685, 51297, 51768, 61391, 55217, 52386, 50307, 55586, 50427, 66964, 59780, 53360, 51259, 64371, 56685, 51128, 59659, 50878, 50876, 51145, 55957, 51297, 50436, 66964, 50959, 56797, 64371, 55217, 65246, 54783, 51391, 50444, 51236, 57258, 51297, 51955, 60381, 55217, 78454, 66964, 50955, 56672, 64371, 56685, 51297, 50460, 59659, 51101, 51755, 50904, 51248, 51586, 55217, 55650, 50832, 64371, 56685, 51297, 65167, 51145, 51768, 61391, 55217, 55487, 53360, 51259, 64371, 56685, 51128, 55957, 75753, 51602, 51080, 56797, 64371, 55217, 52666, 50307, 50943, 50441, 50965, 71493, 51456, 64371, 57258, 51297, 50445, 50876, 50995, 50447, 51456, 60678, 51456, 62468, 55217, 52666, 50321, 62034, 51236, 56685, 54731, 50319, 50972, 51755, 50372, 52526, 64371, 55217, 50971, 51640, 53295, 50906, 51115, 50989, 51351, 55997, 64371, 56685, 51297, 51768, 55892, 60380, 55217, 52386, 50317, 52063, 50432, 53360, 51259, 64371, 56685, 51128, 57249, 63772, 51677, 50434, 50906, 51714, 55957, 51297, 56797, 64371, 55217, 51000, 57249, 50901, 50443, 60530, 56391, 51236, 57258, 51297, 50449, 54783, 50978, 51955, 55892, 71402, 55217, 51000, 50455, 66964, 54900, 50852, 64371, 56685, 51297, 50461, 59659, 50892, 51755, 50904, 71891, 64371, 55217, 55650, 50832, 64371, 56685, 51297, 50421, 60530, 51267, 51768, 55892, 60380, 55217, 52386, 50317, 51328, 50989, 60539, 53360, 51259, 64371, 56685, 51128, 59659, 51115, 50906, 51775, 50989, 51480, 55957, 51297, 56797, 64371, 55217, 57522, 51236, 57258, 54731, 50314, 51542, 51955, 55892, 71402, 55217, 51000, 51640, 75286, 51194, 56672, 64371, 56685, 54731, 50317, 50851, 51755, 50904, 71891, 64371, 55217, 50971, 51602, 52096, 50876, 59229, 51255, 50419, 66964, 52415, 50312, 51645, 55997, 64371, 56685, 51297, 51768, 55892, 60380, 55217, 50971, 59659, 50845, 50431, 66964, 54221, 53360, 51259, 64371, 56685, 54191, 50316, 51790, 50965, 51803, 50956, 51047, 55957, 75753, 54783, 51295, 56797, 64371, 55217, 57522, 51236, 57258, 67676, 50856, 51297, 51955, 60381, 55217, 51000, 50455, 66964, 54194, 50856, 64371, 56685 ]
[ 0, 250, 8787, 5175, 15229, 11, 274, 538, 6, 42, 2125, 30853, 23, 41, 178, 5285, 20889, 6, 63, 204, 73, 306, 86, 6543, 1976, 10, 5204, 22293, 4, 20, 13305, 52, 9419, 10, 5797, 990, 1506, 9, 34879, 6, 7630, 14805, 10, 25306, 5466, 326, 25963, 19, 15073, 8, 11926, 4, 20, 40286, 230, 406, 73, 717, 6, 274, 6, 274, 119, 6, 230, 10431, 6, 8, 12608, 406, 73, 534, 1606, 5581, 7, 5, 46336, 5252, 6, 13869, 5, 30443, 7, 12327, 8, 4356, 2089, 1090, 1235, 11, 5, 930, 18, 36355, 2088, 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 ]	[ 57448, 51247, 51269, 50417, 51966, 51269, 51050, 64080, 51247, 66495, 51966, 51269, 51050, 58844, 51247, 51269, 50429, 51966, 51269, 51050, 60816, 51247, 70855, 51966, 51269, 51050, 61929, 51247, 51269, 50441, 51966, 51269, 51050, 62622, 51247, 51269, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 51027, 58194, 77204, 51966, 51269, 51050, 51269, 50454, 50871, 54088, 50456, 51247, 51269, 50458, 50871, 54088, 50459, 51966, 51269, 51050, 51269, 54734, 51269, 50871, 54088, 50997, 69711, 50981, 50417, 51966, 51269, 51050, 51269, 50418, 50871, 54088, 50989, 54088, 50420, 51247, 51269, 63714, 54088, 50989, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50871, 54088, 50989, 51178, 51040, 70342, 51966, 51269, 51050, 51269, 74413, 54088, 50989, 54088, 50432, 51247, 51269, 50434, 50871, 54088, 50989, 64759, 51966, 51269, 51050, 61929, 51247, 51269, 50956, 54088, 50900, 69711, 51013, 50441, 51966, 51269, 51050, 51269, 50442, 50956, 54088, 50989, 54088, 50444, 51247, 51269, 50446, 50956, 54088, 50989, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50956, 54088, 50989, 51215, 50997, 70256, 51966, 51269, 51050, 51269, 50454, 50956, 54088, 50989, 54088, 50456, 51247, 51269, 50458, 50956, 54088, 50989, 71428, 51966, 51269, 51050, 51269, 54734, 51269, 50956, 54088, 50871, 54088, 51027, 66743, 51352, 50417, 51966, 51269, 51050, 51269, 50418, 50956, 54088, 50871, 54088, 50420, 51247, 51269, 50422, 50956, 54088, 50871, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50956, 54088, 50871, 54088, 50429, 51966, 51269, 51050, 51269, 79471, 54088, 50871, 54088, 50432, 51247, 51269, 50434, 50956, 54088, 50871, 54088, 50435, 51966, 51269, 51050, 61929, 51247, 51269, 50956, 54088, 50871, 54088, 51026, 66977, 51966, 51269, 51050, 51269, 50442, 50956, 54088, 50871, 54088, 50444, 51247, 51269, 50446, 50956, 54088, 50871, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50956, 54088, 72302, 50997, 70256, 51966, 51269, 51050, 51269, 50454, 50956, 54088, 50871, 54088, 50456, 51247, 51269, 50458, 50956, 54088, 62676, 50459, 51966, 51269, 51050, 51269, 54734, 51269, 50956, 54088, 51027, 58194, 50981, 50417, 51966, 51269, 51050, 51269, 50418, 50956, 54088, 50871, 54088, 50420, 51247, 51269, 50422, 50956, 54088, 50871, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50956, 54088, 72302, 50900, 70342, 51966, 51269, 51050, 51269, 79471, 54088, 50871, 54088, 50432, 51247, 51269, 50434, 50956, 54088, 50871, 75339, 51966, 51269, 51050, 61929, 51247, 51269, 51040, 54088, 50997, 58194, 51013, 50441, 51966, 51269, 51050, 51269, 50442, 51040, 54088, 50444, 51247, 51269, 50446, 51040, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50900, 54088, 50871, 50952, 51027, 70256, 51966, 51269, 51050, 51269, 50454, 50900, 54088, 50871, 58298, 51841, 51269, 50458, 50900, 54088, 65080, 50459, 51247, 51269, 51050, 51269, 62368, 51269, 50997, 54088, 50871, 54088, 50997, 51080, 51028, 51127, 50417, 51279, 51269, 51378, 51269, 50418, 56963, 50906, 61378, 51966, 51269, 50422, 56963, 67695, 50423, 51279, 51269, 51378, 58844, 51966, 51269, 56963, 67695, 50429, 51279, 51269, 51378, 51269, 50430, 56963, 50906, 56626, 51966, 51269, 50434, 56963, 50906, 65153, 51279, 51269, 51378, 61929, 51966, 51269, 60471, 67695, 51040, 51283, 50441, 51279, 51269, 51378, 51269, 50442, 60471, 50906, 57940, 51966, 51269, 50446, 60471, 50906, 64043, 51279, 51269, 51378, 60205, 51966, 51269, 60471, 67695, 50453, 51279, 51269, 51378, 51269, 50454, 60471, 50906, 57131, 51247, 51269, 50899, 70529, 60471, 50906, 62908, 51966, 51269, 54795, 51269, 67695, 51028, 50933, 51234, 62139, 60420, 52297, 50319, 51013, 50417, 51279, 51269, 51026, 51269, 50418, 67695, 51028, 61378, 51214, 51269, 50422, 67695, 51028, 67829, 51279, 51269, 51026, 58844, 51214, 51269, 67695, 51028, 50933, 50956, 70354, 65708, 51279, 51269, 51026, 51269, 50430, 67695, 51028, 56626, 51214, 51269, 50956, 70354, 67449, 67695, 51028, 65153, 51279, 51269, 51026, 61929, 51214, 51269, 67695, 51028, 50933, 51234, 51260, 50296, 62215, 74335, 50943, 50441, 51279, 51269, 51026, 51269, 50442, 67695, 51028, 57940, 51214, 51269, 50446, 67695, 51028, 64043, 51279, 51269, 51026, 60205, 51214, 51269, 67695, 51028, 50933, 51234, 62139, 60420, 66714, 65371, 51279, 51269, 51026, 51269, 50454, 67695, 51028, 57131, 51966, 51269, 50956, 66714, 73752, 67695, 51028, 62908, 51214, 51269, 58439, 51269, 50965, 50933, 64304, 51085, 62139, 60420, 51145, 51001, 51145, 50417, 51279, 51269, 51176, 51269, 50418, 50965, 50933, 50876, 61378, 51503, 51269, 50422, 50965, 50933, 64304, 50423, 51279, 51269, 51176, 58844, 51503, 51269, 50965, 50933, 64304, 50429, 51279, 51269, 51176, 51269, 50430, 50965, 50933, 50876, 56626, 51503, 51269, 50434, 50965, 50933, 64304, 50435, 51279, 51269, 51176, 61929, 51503, 51269, 50965, 50933, 64304, 50441, 51279, 51269, 51176, 51269, 50442, 50965, 57940, 51503, 51269, 50446, 50965, 64043, 51279, 51269, 51176, 60205, 51503, 51269, 50900, 59219, 77204, 51279, 51269, 51176, 51269, 50454, 50965, 57131, 51503, 51269, 50458, 50965, 62908, 51279, 51269, 51176, 51269, 58439, 51269, 50965, 54088, 51040, 59219, 50981, 50417, 51279, 51269, 51176, 51269, 50418, 50965, 54088, 50420, 51503, 51269, 50422, 50965, 54088, 50423, 51279, 51269, 51176, 58844, 51503, 51269, 50965, 54088, 65645, 50916, 70342, 51279, 51269, 51176, 51269, 50430, 50965, 54088, 50906, 54088, 50432, 51503, 51269, 50434, 50965, 54088, 62927, 50435, 51279, 51269, 51176, 61929, 51503, 51269, 50989, 54088, 50956, 59219, 51013, 50441, 51279, 51269, 51176, 51269, 50442, 50989, 54088, 50444, 51503, 51269, 50446, 50989, 54088, 50447, 51279, 51269, 51176, 60205, 51503, 51269, 50989, 54088, 50877, 51215, 51040, 70256, 51279, 51269, 51176, 51269, 50454, 50989, 54088, 50906, 54088, 50456, 51503, 51269, 50458, 50989, 54088, 50877, 71428, 51279, 51269, 51176, 51269, 58439, 51269, 50989, 54088, 50965, 54088, 50900, 51080, 51001, 51352, 50417, 51234, 51269, 51176, 51269, 50418, 50989, 54088, 50965, 54088, 50420, 51503, 51269, 50422, 50989, 54088, 50965, 54088, 50423, 51234, 51269, 51176, 58844, 51503, 51269, 50989, 54088, 50965, 54088, 50429, 51234, 51269, 51176, 51269, 50430, 50989, 54088, 50965, 54088, 50432, 51503, 51269, 50434, 50989, 54088, 50965, 54088, 50435, 51234, 51269, 51176, 61929, 51503, 51269, 50989, 54088, 50965, 54088, 50997, 66977, 51234, 51269, 51176, 51269, 50442, 50989, 54088, 50965, 54088, 50444, 51503, 51269, 50446, 50989, 54088, 50965, 54088, 50447, 51234, 51269, 51176, 60205, 51503, 51269, 50989, 54088, 50965, 50952, 51040, 70256, 51234, 51269, 51176, 51269, 50454, 50989, 54088, 50965, 54088, 50456, 51503, 51269, 50458, 50989, 54088, 50965, 66376, 51234, 51269, 51176, 51269, 58439, 51269, 50989, 54088, 50900, 61306, 50981, 50417, 51234, 51269, 51176, 51269, 50418, 50989, 54088, 50965, 54088, 50420, 51503, 51269, 50422, 50989, 54088, 50965, 54088, 50423, 51234, 51269, 51176, 58844, 51503, 51269, 50989, 54088, 50965, 50925, 50956, 70342, 51234, 51269, 51176, 51269, 50430, 50989, 54088, 50965, 54088, 50432, 51503, 51269, 50434, 50989, 54088, 50965, 75339, 51234, 51269, 51176, 61929, 51503, 51269, 50916, 54088, 51040, 61306, 51013, 50441, 51234, 51269 ]
[ 0, 250, 765, 6, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 3459, 9590, 6, 21072, 6, 17605, 9590, 6, 2382, 3459, 8669, 6, 8, 2724, 368, 31365, 25999, 6, 2351, 10, 1372, 8, 33558, 5466, 19, 10, 11602, 9, 1619, 4780, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 13442, 741, 1685, 11, 5, 762, 9, 272, 10431, 3694, 6, 19, 10, 33215, 16739, 9, 2060, 406, 6, 163, 401, 6, 12608, 119, 6, 2060, 119, 6, 8, 163, 43531, 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 ]	[ 57333, 50791, 50880, 51544, 79161, 50897, 52320, 50897, 50799, 56520, 50910, 55213, 60623, 53932, 56520, 50910, 55213, 60623, 53049, 56520, 50897, 55213, 61174, 53627, 56520, 50865, 55213, 53840, 53574, 59521, 50910, 57920, 60623, 60464, 57224, 50810, 62179, 53701, 50579, 52878, 57178, 50836, 58232, 50375, 53183, 55354, 53631, 50836, 53973, 50375, 53823, 53035, 57865, 50937, 57003, 51058, 51553, 54166, 53968, 50938, 53621, 50987, 67779, 50818, 50799, 56520, 50952, 55213, 50828, 58232, 50820, 62179, 50829, 55213, 50925, 53916, 51469, 54322, 50955, 51728, 52054, 63465, 53227, 56520, 50938, 55213, 50834, 58232, 50820, 62179, 50835, 55213, 50987, 54322, 51058, 61862, 54634, 50910, 56413, 50820, 60382, 50825, 54770, 50867, 54770, 50955, 52947, 50933, 51525, 56340, 52538, 54262, 50572, 56402, 52927, 54634, 50917, 56413, 50854, 60382, 50933, 54770, 50978, 54770, 50987, 52947, 51006, 53804, 52742, 53968, 50805, 57920, 50867, 53621, 50844, 58599, 51008, 53621, 50845, 52491, 50830, 51815, 57685, 51421, 53806, 54308, 50862, 52623, 50827, 52089, 57444, 52843, 54308, 50905, 52041, 50838, 51986, 50905, 51525, 57517, 52538, 52516, 50855, 51453, 57023, 57178, 50884, 58232, 50841, 52159, 50834, 50799, 53968, 50840, 53621, 50813, 51815, 55234, 52304, 54745, 53968, 50855, 53621, 50867, 51815, 55772, 53968, 50937, 53621, 51058, 53339, 50910, 51815, 69207, 55946, 52541, 53901, 57865, 50938, 57003, 50987, 53339, 50833, 52473, 51006, 51525, 56340, 52538, 52516, 54056, 52541, 52810, 57178, 50924, 58232, 50937, 53780, 50854, 52159, 50987, 53752, 56788, 52541, 52729, 56520, 50795, 55213, 50845, 54727, 50880, 53064, 51295, 54322, 56777, 52207, 56650, 53580, 51033, 56960, 52802, 54308, 50839, 52623, 50867, 52089, 60995, 57517, 52538, 52516, 54139, 54308, 50866, 52041, 50978, 51986, 51008, 51453, 57326, 54634, 50855, 54770, 50867, 52947, 54897, 50828, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 52541, 51055, 54110, 55759, 52938, 54878, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 54110, 62316, 54156, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 53780, 50813, 54322, 50959, 51525, 56340, 52538, 52516, 54056, 52541, 61690, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 53894, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 53580, 50880, 53064, 50810, 52947, 56777, 52207, 59846, 52608, 50800, 52695, 51241, 50444, 53319, 55879, 54004, 53444, 50845, 52623, 50974, 52089, 50838, 51902, 50905, 51525, 57517, 52538, 52516, 54166, 52695, 50854, 52093, 50459, 57865, 50813, 57003, 50904, 53064, 50810, 52473, 57515, 50841, 50799, 57178, 50840, 58232, 50857, 52695, 50854, 52159, 55234, 51420, 58093, 57178, 50846, 58232, 50834, 54541, 51194, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 54156, 54541, 51194, 51525, 56340, 52538, 57036, 53644, 56520, 50865, 55213, 50866, 54322, 50978, 67370, 52950, 53968, 50980, 58599, 51178, 65385, 51124, 53621, 51162, 52041, 51411, 51986, 51255, 52541, 50952, 51815, 51400, 51728, 55958, 50388, 52281, 56442, 53780, 67367, 52491, 53401, 52656, 55510, 54634, 51060, 54770, 51101, 60382, 51178, 68476, 51194, 52623, 51328, 52089, 51328, 52541, 50859, 52947, 51242, 51525, 57517, 52538, 63239, 63055, 55726, 53780, 62174, 52608, 50383, 53183, 53902, 52891, 75615, 50841, 50799, 56520, 50952, 55213, 50828, 58232, 50820, 62179, 50829, 55213, 50925, 54322, 50955, 71329, 52432, 56520, 50938, 55213, 50834, 58232, 50820, 62179, 50835, 55213, 50987, 54322, 60593, 52437, 54634, 50910, 56413, 50820, 60382, 50825, 54770, 50867, 54770, 50955, 52947, 50933, 51525, 56340, 52538, 52516, 53810, 54634, 50917, 56413, 50854, 60382, 50933, 54770, 50978, 54770, 50987, 52947, 51006, 52358, 52950, 53968, 50805, 57920, 50867, 53621, 50844, 58599, 51008, 53621, 50845, 53780, 50849, 51815, 57685, 52304, 53806, 53064, 51562, 50852, 53140, 53580, 50961, 54308, 50841, 52623, 50904, 52089, 50374, 55913, 57517, 52538, 52516, 58045, 52491, 50865, 54308, 50878, 52041, 50955, 51986, 52863, 53804, 57023, 57178, 50884, 58232, 50841, 52159, 50834, 50799, 53968, 50840, 53621, 50813, 51815, 55234, 51864, 54745, 53968, 50855, 53621, 50867, 51815, 55772, 53968, 50937, 53621, 51058, 51815, 69207, 53383, 57865, 50938, 57003, 50987, 52473, 51006, 51525, 56340, 52538, 52516, 52359, 57178, 50924, 58232, 50937, 52159, 50987, 52553, 52781, 56520, 50795, 55213, 50845, 52541, 50858, 54322, 56777, 52207, 53806, 52541, 58474, 55118, 53780, 52800, 52041, 50878, 51986, 50925, 52170, 50955, 51525, 57517, 52538, 52516, 58045, 53780, 50855, 51453, 54814, 54634, 50855, 54770, 50867, 53780, 51110, 52947, 54897, 50818, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 54110, 55759, 51049, 55777, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 53064, 51043, 54110, 62316, 53901, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 52695, 51043, 54322, 50959, 51525, 56340, 52538, 52516, 52359, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 54431, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 52947, 56777, 51864, 55489, 53580, 59057, 55118, 52608, 53886, 53319, 50967, 53444, 50820, 52089, 50835, 51902, 60995, 57517, 52538, 52516, 54139, 52623, 50878, 52089, 51051, 51902, 61898, 53339, 55744, 57023, 57865, 50813, 57003, 50904, 52541, 50839, 52473, 57515, 50818, 50799, 57178, 50840, 58232, 50857, 53916, 51294, 52159, 55234, 52189, 58767, 57178, 50846, 58232, 50834, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 53548, 51525, 56340, 52538, 52516, 53644, 56520, 50865, 55213, 50866, 53339, 50833, 54322, 56835, 55310, 52541, 53618, 53116, 59521, 50800, 57920, 50810, 58599, 51178, 65385, 51124, 53339, 51204, 51595, 53835, 55190, 58935, 57224, 50812, 62179, 50822, 51495, 53086, 57178, 50809, 58232, 50813, 53979, 51033, 52159, 56317, 53631, 50840, 53973, 50813, 53319, 50952, 51401, 54105, 57865, 50910, 57003, 50955, 60382, 51178, 68476, 51194, 52656, 50821, 52473, 51008, 51525, 57517, 52538, 63756, 51979, 56354, 53968, 51345, 53621, 51400, 52891, 51227, 51815, 51480, 50816, 50895, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 54110, 55759, 51049, 55777, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 53064, 51043, 54110, 62316, 53901, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 52695, 51043, 54322, 50959, 51525, 56340, 52538, 52516, 52359, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 54431, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 52947, 56777, 51864, 55489, 53580, 59057, 55118, 52608, 53886, 53319, 50967, 53444, 50820, 52089, 50835, 51902, 60995, 57517, 52538, 52516, 54139, 52623, 50878, 52089, 51051, 51902, 61898, 53339, 55744, 57023, 57865, 50813, 57003, 50904, 52541, 50839, 52473, 57515, 50818, 50799, 57178, 50840, 58232, 50857, 53916, 51294, 52159, 55234, 52189, 58767, 57178, 50846, 58232, 50834, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 53548, 51525, 56340 ]
[ 0, 250, 15855, 8, 19834, 12, 13028, 15229, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 6, 29354, 26545, 8, 20183, 19, 9066, 8, 3722, 223, 34693, 4, 20, 6755, 12547, 6, 30062, 620, 7085, 12280, 642, 6, 18558, 6, 2342, 4467, 6, 8, 17691, 28430, 35810, 561, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 25451, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 46336, 5252, 16, 10122, 19, 5, 8089, 9, 3676, 406, 6, 83, 6, 272, 401, 6, 211, 6, 8, 272, 119, 401, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57211, 50799, 51946, 51939, 70164, 50932, 50415, 60691, 54249, 53541, 51243, 51881, 70762, 60131, 51423, 50426, 54650, 52096, 55228, 51753, 50432, 53472, 57937, 54019, 50915, 52650, 51328, 50444, 52697, 50974, 50449, 54577, 69204, 52650, 77228, 51996, 50915, 53472, 50838, 50799, 52494, 51189, 70164, 51253, 52133, 51380, 52402, 51312, 50420, 52695, 51233, 63950, 51480, 50426, 52196, 51310, 55228, 54342, 52795, 50873, 54969, 75120, 52890, 51328, 50439, 52795, 64486, 54969, 51233, 50445, 52032, 67426, 53715, 62970, 52196, 51047, 50456, 55228, 50874, 50799, 54577, 51445, 70164, 50995, 60691, 54143, 53541, 51445, 51881, 55085, 60131, 51312, 51881, 53466, 51596, 50915, 55228, 51423, 51615, 51111, 50427, 51946, 51677, 50432, 53472, 51391, 52332, 51060, 50437, 51789, 55965, 52650, 51212, 52033, 51918, 52697, 51242, 52332, 65223, 52083, 51013, 52650, 51363, 52033, 53702, 53472, 50844, 51881, 50849, 50799, 54019, 52256, 51686, 51189, 52285, 51803, 52196, 51134, 70164, 51363, 53389, 50995, 53100, 51241, 50420, 61534, 54278, 55039, 60092, 53339, 51677, 50432, 51565, 51111, 53748, 51242, 50433, 50626, 50438, 52890, 77046, 52433, 51161, 50444, 53101, 51277, 53260, 67446, 50626, 50450, 51950, 51101, 52890, 51058, 50455, 50626, 50456, 54063, 51043, 53748, 50837, 50799, 59861, 50829, 55228, 50834, 53828, 51101, 52133, 52121, 55793, 51244, 53817, 51318, 50415, 51950, 51742, 52196, 53487, 55228, 59991, 53260, 51142, 53748, 62016, 50626, 53436, 73616, 55802, 54611, 55248, 67175, 54307, 51717, 50432, 52626, 55306, 52886, 67367, 50625, 53828, 51692, 50449, 51711, 75926, 52430, 51242, 50455, 50625, 50456, 53499, 51101, 51838, 51242, 50799, 52626, 51397, 50415, 52225, 72442, 52033, 63559, 52332, 62109, 51615, 51446, 50433, 52886, 51178, 50438, 52340, 51148, 50440, 52626, 51047, 50446, 59861, 50905, 50448, 54969, 64913, 53715, 50874, 52650, 52800, 52890, 50857, 51656, 76679, 70164, 51878, 53472, 51058, 50460, 52650, 50959, 55228, 52263, 57211, 54029, 50981, 51615, 50834, 51838, 52121, 53499, 52015, 51615, 52250, 60691, 50981, 50415, 53541, 60726, 53472, 65785, 52650, 78265, 54029, 69397, 52697, 55322, 54029, 54004, 52650, 54199, 53472, 50864, 50799, 70164, 51109, 55228, 60726, 53472, 67732, 52650, 54342, 54029, 54123, 52697, 56391, 54029, 52985, 52650, 59781, 53472, 50864, 50799, 57853, 50830, 53565, 51655, 52123, 51151, 70164, 51542, 55228, 50915, 51615, 55482, 53817, 55116, 64885, 50825, 60691, 55482, 53541, 58643, 50420, 53472, 53770, 52650, 68181, 54029, 68535, 52697, 60182, 54029, 51412, 50450, 52650, 77146, 53472, 50864, 50799, 52689, 51016, 52041, 50932, 70164, 50932, 55228, 57933, 53472, 54335, 53565, 51013, 52123, 50915, 52650, 54342, 54029, 68535, 53391, 51226, 53444, 50915, 52697, 51363, 50444, 54029, 51534, 50450, 53565, 51016, 52123, 51134, 52650, 56711, 53472, 50886, 50799, 57375, 50833, 52689, 51469, 52041, 51313, 70563, 51253, 55039, 51480, 59439, 51151, 51615, 51293, 52133, 78160, 53748, 58192, 52650, 53387, 52566, 53913, 52697, 55200, 52566, 53562, 52650, 61703, 53748, 61243, 53444, 51097, 51656, 51680, 55430, 52015, 53100, 51330, 50799, 59213, 50952, 55102, 51013, 51783, 50981, 50697, 50282, 51203, 60131, 65516, 53472, 67732, 52888, 51977, 52123, 51535, 52089, 51318, 55052, 51212, 51881, 52256, 50432, 52890, 75120, 52697, 55103, 52890, 51242, 50449, 51584, 51452, 50450, 51886, 50933, 52083, 51123, 52123, 51025, 52089, 50995, 55052, 51058, 60165, 61081, 51565, 50851, 52433, 55371, 67092, 59753, 52083, 66968, 51886, 50822, 60165, 54319, 51606, 50844, 53472, 65267, 52604, 64074, 52083, 50942, 58301, 57023, 51886, 70039, 60165, 59700, 51565, 51295, 50799, 64884, 50800, 52433, 51749, 52679, 51419, 52041, 51419, 51555, 51134, 50697, 50280, 50995, 59861, 51411, 55793, 52096, 50415, 67092, 65739, 53748, 53770, 53274, 51013, 52650, 53387, 52566, 50901, 50437, 52089, 51328, 50438, 56806, 51016, 52123, 51101, 51584, 51043, 51902, 51043, 52697, 59791, 52566, 51194, 50449, 51555, 50905, 52041, 50974, 51584, 50974, 51567, 55125, 53873, 51541, 52650, 66913, 53748, 50827, 50799, 54992, 50896, 51584, 50905, 51902, 51328, 52089, 51328, 51612, 50873, 50697, 50280, 50981, 59861, 51312, 50420, 53748, 58632, 53873, 50896, 51555, 50892, 52041, 51212, 51584, 50892, 51567, 50901, 52650, 68181, 52566, 53913, 56806, 51215, 52089, 51775, 51902, 51203, 52123, 51363, 51584, 51411, 52697, 51480, 50444, 52566, 75926, 52650, 51277, 50455, 52041, 50844, 52679, 50810, 51555, 50810, 51584, 52863, 53274, 51173, 53748, 50874, 50799, 57853, 50809, 52888, 51696, 70164, 51679, 55228, 50981, 60691, 55174, 53817, 52826, 50415, 52123, 53753, 51584, 51293, 52089, 53142, 51902, 53651, 50420, 53472, 67732, 53598, 51254, 51886, 50955, 55052, 51212, 79916, 60155, 52433, 50959, 52367, 51051, 73159, 52810, 54029, 51101, 50433, 53598, 61172, 53297, 50851, 73038, 57320, 51886, 53269, 53598, 51000, 52697, 51109, 79916, 54305, 54029, 51363, 50449, 52156, 51008, 51886, 65743, 55052, 50974, 60165, 61081, 51673, 50987, 50453, 52433, 72921, 67092, 53211, 51886, 50978, 53472, 68826, 53598, 51142, 79916, 57867, 51886, 50941, 52156, 50864, 60165, 50862, 50799, 52041, 52056, 51555, 51199, 70164, 51534, 55228, 64965, 51565, 50867, 52156, 50971, 53748, 50978, 62086, 52870, 51596, 50867, 51565, 50941, 52650, 50987, 55839, 52925, 51596, 50904, 52697, 50844, 56333, 65312, 52202, 59380, 52133, 51148, 52402, 50932, 55793, 51148, 51615, 51939, 50438, 64884, 50859, 51752, 51166, 52155, 51481, 53132, 51016, 59861, 50932, 53715, 51480, 56220, 62801, 51596, 60466, 52202, 50912, 54969, 51212, 56333, 54086, 52161, 51166, 52945, 50896, 52650, 50978, 52402, 51097, 50451, 51752, 50974, 57644, 54199, 51606, 50904, 52566, 64853, 51596, 50941, 57016, 59854, 60691, 51801, 50799, 53565, 51285, 70164, 51637, 55228, 51391, 53817, 52337, 53541, 52337, 50415, 57853, 50821, 51596, 52519, 56333, 70624, 52202, 51961, 50420, 53472, 54335, 52650, 50845, 51881, 57648, 54029, 51212, 50437, 51615, 56692, 53565, 51362, 55052, 51328, 50444, 53472, 51242, 50449, 52332, 55247, 55052, 54771, 53565, 50911, 54029, 50857, 50799, 57853, 50859, 53565, 51054, 70164, 51148, 55228, 51115, 51743, 51121, 51881, 51074, 50419, 53100, 51481, 50420, 52650, 51328, 52033, 63559, 53274, 51016, 54029, 51212, 51881, 51753, 51743, 62118, 53039, 50867, 52033, 51753, 51615, 64967, 53000, 51212, 52255, 51362, 51743, 51679, 50444, 52697, 72326, 52888, 51090, 54757, 51328, 50455, 51615, 57414, 53118, 50867, 51743, 51481, 50799, 64884, 50800, 53132, 51527, 50697, 50280, 50995, 59861, 50981, 55793, 53413, 52033, 51753, 52133, 75272, 53748, 51212, 52187, 50795, 51615, 54335, 54012, 51419, 52650, 51121, 52033, 52783, 50427, 51615, 51538, 50432, 52566, 74387, 53132, 51745, 57570, 50981, 52697, 67367, 52566, 55125, 53883, 51295, 52650, 54509, 53132, 51030, 53748, 61561, 52402, 50978, 50799, 53132, 51237, 59861, 51391, 53715, 50981, 52133, 52168, 50419, 61249, 51043, 52402, 58879, 54969, 51212, 51615, 53466, 52888, 50824, 56065, 51452, 52650, 50845, 51615, 51008, 52187, 50910, 50429, 52187, 68858, 51838, 57748, 52566, 73626, 51656, 51051, 51711, 50897, 50437, 53817, 51148, 55793, 60934, 54610, 50952, 52697, 51043, 52402, 51314, 51656, 51486, 50444, 52566, 68366, 52689 ]
[ 0, 713, 8787, 5175, 8, 3495, 15229, 6, 278, 11, 381, 538, 6, 30853, 23, 10, 7212, 20889, 19, 10, 204, 73, 306, 86, 6543, 4, 660, 21979, 8669, 6, 17691, 28430, 6, 8, 6755, 12547, 35810, 561, 15352, 30054, 2301, 6, 150, 2236, 1021, 2678, 29, 1606, 41, 364, 38537, 2842, 6, 8, 21072, 694, 10, 5204, 1451, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 6, 29354, 26545, 8, 1007, 6, 19, 17878, 9, 657, 4, 20, 33215, 16739, 9, 1918, 6, 381, 6, 8, 163, 3639, 7, 63, 13363, 28191, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 52225, 51148, 52430, 51243, 50438, 51838, 57105, 52414, 50981, 50799, 51656, 51692, 51838, 51445, 52036, 51445, 50450, 51615, 50943, 50799, 51743, 51518, 51656, 52121, 52225, 51293, 50450, 52033, 51013, 50799, 51743, 51655, 52187, 51151, 59007, 50938, 51688, 50795, 53100, 51293, 74622, 51656, 70762, 50850, 50921, 50946, 57327, 50992, 53104, 50616, 53566, 50946, 56291, 76183, 51688, 65562, 50946, 63815, 60866, 50868, 52757, 50616, 54098, 50946, 62033, 51566, 58282, 50805, 51881, 51293, 51743, 51293, 79656, 67653, 61128, 63963, 66732, 52005, 53566, 50946, 50942, 50872, 63418, 51171, 53969, 50946, 63815, 55125, 51171, 57046, 50911, 52005, 54098, 59385, 65713, 59007, 51033, 51688, 51100, 53100, 51293, 74622, 51656, 70762, 50850, 50882, 50946, 59204, 50992, 52965, 50616, 53566, 50946, 50865, 50868, 56810, 51688, 65562, 59385, 50946, 68366, 50868, 50940, 52005, 54098, 58126, 50946, 74369, 51396, 52069, 64933, 52500, 51217, 51036, 53541, 51293, 51881, 51293, 51743, 51293, 78738, 51605, 50416, 50872, 52500, 50438, 52549, 57197, 51900, 51003, 62193, 51343, 53101, 51295, 50420, 51017, 65292, 54851, 52005, 53566, 51688, 50918, 52285, 60592, 66581, 50992, 50948, 52285, 70268, 50850, 70845, 52596, 52005, 54098, 51688, 50918, 59007, 50952, 51017, 50917, 60474, 56548, 53466, 52005, 53566, 50848, 51159, 50868, 51157, 76686, 51217, 51452, 54108, 55306, 51900, 51267, 57403, 51798, 50850, 56291, 51212, 50872, 51060, 51900, 51267, 52005, 54098, 50848, 50893, 62193, 51364, 51900, 51295, 50420, 51017, 65292, 54851, 52005, 53566, 51688, 51336, 52285, 74387, 66581, 50992, 50948, 52549, 70268, 50850, 70845, 52596, 52005, 54098, 51688, 50866, 51688, 50917, 62193, 51274, 60474, 56548, 53466, 52005, 53566, 50848, 51159, 50868, 51157, 76686, 51688, 61086, 52549, 60510, 50946, 51798, 50850, 56291, 51212, 50872, 51060, 51900, 51400, 52005, 54098, 50848, 50893, 62193, 51541, 53101, 51295, 60474, 59590, 56346, 52005, 53566, 51217, 52195, 52285, 55306, 66853, 50992, 51030, 52285, 51562, 66368, 65396, 63233, 52005, 54098, 51171, 51407, 50461, 50946, 51103, 57342, 51103, 50415, 50944, 51551, 50416, 50850, 52195, 50426, 52005, 53566, 54108, 50977, 50437, 52540, 51870, 50438, 51017, 51551, 50868, 51103, 51900, 51003, 50439, 50992, 69562, 52549, 51400, 52005, 50824, 70128, 51541, 52824, 51295, 50420, 50944, 51286, 50850, 70266, 52005, 53566, 51506, 50808, 52549, 74387, 51017, 70732, 51541, 52355, 70268, 50944, 51286, 50850, 63589, 52005, 54098, 51506, 50830, 61281, 51552, 50420, 50850, 50859, 57835, 50423, 50992, 57630, 50850, 53376, 50616, 53566, 73483, 50847, 51624, 50289, 60655, 50868, 79771, 51017, 51377, 50850, 51346, 52005, 54098, 51688, 50987, 52355, 50901, 58282, 51486, 52355, 51003, 51881, 51036, 52332, 56100, 50946, 51661, 57189, 51413, 51900, 51003, 52005, 53566, 50868, 51196, 50944, 51196, 50850, 64050, 53101, 67367, 50946, 50911, 52515, 76630, 51171, 51159, 52005, 54098, 50946, 50821, 50799, 52540, 51294, 52515, 51194, 53100, 51492, 52033, 56100, 51017, 51204, 50868, 51191, 50423, 52933, 51255, 50426, 52005, 53566, 52540, 51417, 54063, 74387, 67832, 50868, 50859, 52515, 51194, 50444, 51017, 51090, 50850, 62902, 52285, 76630, 52005, 54098, 52540, 50987, 50799, 52540, 51189, 51743, 56100, 50872, 51091, 50850, 51541, 51007, 75749, 51900, 51177, 52005, 53566, 50946, 51358, 52549, 58927, 50872, 56709, 74503, 50940, 52549, 67367, 50850, 51215, 50935, 51379, 50872, 51400, 52824, 57197, 52005, 54098, 50944, 51215, 50850, 51016, 52355, 51183, 70128, 50807, 52332, 54994, 51017, 50914, 50944, 52910, 52005, 53566, 51506, 51790, 50437, 50946, 52212, 50438, 51017, 51127, 52549, 51003, 52033, 61298, 50944, 51356, 50440, 50850, 66336, 51900, 51400, 51881, 50807, 52005, 50824, 63649, 51554, 50296, 51241, 53101, 51003, 53389, 51036, 53100, 56100, 50868, 55035, 66588, 52285, 50977, 52005, 53566, 51017, 51496, 51217, 51591, 50850, 51742, 52285, 51351, 66368, 68366, 51017, 51328, 52005, 54098, 50946, 50959, 54246, 51177, 57342, 51060, 51217, 51353, 51900, 51003, 53541, 51036, 51881, 56100, 50868, 53466, 63224, 52285, 51003, 52005, 53566, 51149, 77787, 52824, 57197, 52549, 51177, 52005, 54098, 52355, 51353, 59007, 50937, 51688, 50849, 53389, 51036, 53100, 56100, 50850, 50830, 50946, 54919, 50992, 52757, 50616, 53566, 50946, 56467, 51095, 54570, 51500, 52456, 51500, 50438, 51688, 72438, 50946, 77194, 51100, 54570, 51496, 52456, 51496, 51855, 55362, 50450, 50868, 53597, 50616, 54098, 50946, 57588, 51073, 58282, 50901, 53541, 51605, 51881, 51605, 52517, 52017, 52088, 52017, 67653, 63815, 71783, 66853, 52005, 53566, 68069, 50872, 51013, 54246, 55306, 51171, 50901, 51900, 55945, 50946, 77194, 50892, 52285, 67168, 52549, 51562, 50450, 51171, 59718, 50879, 52005, 54098, 50946, 50833, 62081, 59007, 50952, 51688, 51177, 53389, 51036, 53100, 56100, 50850, 75708, 51110, 52355, 71783, 50992, 53104, 50616, 58542, 52355, 51790, 50432, 50946, 63879, 50879, 54570, 51427, 52456, 51500, 50438, 51688, 72438, 50946, 68710, 51212, 54570, 51496, 52456, 51496, 51855, 52282, 50450, 66732, 52005, 54098, 59416, 50946, 50942, 61281, 63243, 50830, 62062, 68651, 52517, 51090, 52088, 51090, 50425, 51042, 57944, 51217, 51486, 50848, 51161, 50427, 50872, 51161, 50935, 51941, 50450, 52549, 67773, 51900, 50901, 62193, 51343, 53101, 51295, 50420, 66067, 50850, 51631, 52005, 59984, 51688, 51077, 52285, 54014, 57835, 50992, 50938, 52285, 51448, 50444, 72074, 50868, 55125, 52005, 61510, 51688, 51047, 59007, 50878, 76608, 60474, 56219, 54335, 52005, 55112, 75548, 50868, 51253, 50872, 51199, 51217, 52168, 52285, 52718, 51900, 51576, 57403, 56697, 50850, 67923, 51884, 50872, 51277, 51900, 52188, 52005, 59827, 50848, 50974, 62193, 51283, 51900, 52136, 50420, 74315, 50850, 55191, 52005, 57648, 51688, 51447, 52285, 52518, 50438, 78665, 50992, 51254, 52549, 52212, 50444, 79718, 50868, 59914, 52005, 63190, 51688, 52731, 51688, 52192, 62193, 53280, 60474, 57574, 50313, 68544, 52005, 52011, 50432, 50848, 55574, 50868, 55574, 50872, 55765, 51688, 53055, 50438, 52515, 57032, 50444, 50946, 53024, 50450, 50850, 50363, 50815, 50308, 60150, 50872, 58961, 52005, 52618, 50456, 50848, 53313, 54063, 54386, 62193, 60243, 52515, 68303, 60474, 57070, 50850, 54386, 50426, 54570, 55811, 51855, 54386, 52005, 56869, 50432, 51217, 75222, 52549, 72464, 52456, 68303, 52753, 71133, 50438, 50868, 58576, 50992, 59641, 52285, 72782, 66368, 63069, 50850, 59641, 50450, 52456, 63069, 52005, 65254, 50456, 51171, 55044, 54744, 53265, 54570, 53265, 52456, 53265, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 51601, 50626, 50426, 50625, 50438, 50624, 50446, 50622, 50449, 50621, 50451, 50621, 50452, 50621, 50454, 50621, 50456, 50621, 50457, 50619, 50461, 50622, 51601, 50622, 50420, 50622, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 61627, 50623, 50450, 50623, 57528, 77718, 50438, 50623, 50443, 50623, 50448 ]
[ 0, 713, 5175, 2214, 11, 83, 538, 22750, 1626, 10, 15352, 30054, 8, 1372, 16464, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 11739, 9, 21979, 8669, 6, 38668, 22052, 6, 20535, 2810, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2125, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 163, 119, 6, 381, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 76501, 51322, 51671, 51547, 50932, 51229, 52188, 52563, 51151, 51614, 51449, 51434, 51445, 51808, 51445, 50415, 51209, 52335, 50416, 51590, 53142, 50461, 51547, 51490, 55194, 51145, 52435, 51447, 51944, 51243, 51440, 51080, 51229, 51314, 50437, 51322, 51080, 51547, 51080, 51912, 67608, 51415, 51148, 52745, 51314, 51614, 51244, 53400, 51047, 51660, 52263, 51434, 51878, 51808, 51080, 51209, 51314, 51590, 51447, 51366, 51490, 50437, 51229, 52256, 57876, 51047, 52435, 51080, 51660, 51447, 51440, 53849, 51917, 51961, 51366, 51381, 50461, 51322, 51922, 51229, 51449, 52288, 53259, 51614, 51243, 51944, 51449, 51547, 51243, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 50843, 53225, 61391, 51194, 51532, 52144, 53998, 50843, 54620, 56579, 56147, 53945, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 53846, 54870, 56317, 51913, 50855, 56147, 60380, 53068, 51683, 53846, 53739, 61960, 51177, 50453, 51888, 51406, 58043, 54870, 53007, 50843, 54620, 57187, 51648, 51351, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 70943, 51913, 51542, 50843, 53225, 61391, 51194, 50429, 50945, 50866, 56543, 53998, 50843, 54620, 56579, 50927, 51008, 56147, 53945, 50953, 51194, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 54996, 54870, 56317, 51913, 50904, 56147, 60380, 53068, 51963, 53846, 53739, 61960, 51177, 50453, 51683, 51464, 58043, 54870, 53007, 50843, 54620, 57187, 51913, 51183, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 51069, 65316, 53225, 61391, 51194, 50429, 50964, 50987, 56543, 53998, 50843, 54620, 56579, 51069, 51008, 56147, 50864, 53758, 51194, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 53846, 54870, 56317, 51913, 50855, 56147, 60380, 53068, 51683, 53434, 53739, 61960, 51177, 50453, 51888, 51406, 58043, 54870, 53007, 50843, 54620, 57187, 51648, 50855, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 63118, 51648, 55316, 52497, 54202, 52002, 51916, 55716, 55785, 55470, 52002, 51187, 55681, 51949, 68441, 52992, 50945, 55638, 53225, 61391, 51194, 50429, 51019, 50937, 56543, 53998, 50843, 54620, 56579, 50927, 50822, 56147, 53945, 51069, 51121, 50843, 53739, 61391, 50845, 51572, 54870, 50864, 54032, 50374, 54936, 55240, 56317, 51713, 50844, 51287, 54936, 51949, 60380, 53068, 51888, 55309, 50376, 53823, 55240, 61960, 51177, 50453, 51648, 51833, 58043, 50374, 53823, 53742, 53007, 51913, 53816, 72128, 55240, 57187, 51913, 51916, 50373, 53183, 51909, 50864, 52288, 54954, 50891, 51007, 50820, 51840, 50862, 51648, 53871, 51189, 51782, 53692, 50943, 50913, 50813, 51402, 50864, 51039, 53744, 75412, 51007, 50839, 51840, 55164, 51437, 55828, 53383, 51069, 61221, 63490, 50840, 51532, 53998, 50927, 55792, 79371, 50836, 51840, 50857, 51718, 51102, 73746, 53891, 51205, 69959, 60596, 50840, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 51539, 55748, 57012, 51205, 54546, 51559, 54105, 50927, 60665, 51095, 52112, 50453, 50935, 70175, 50841, 51840, 51750, 54738, 50813, 51453, 54359, 50927, 51373, 50813, 53400, 51424, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 51019, 50810, 51439, 50841, 52548, 53831, 51437, 55828, 53383, 50953, 61221, 63490, 50840, 51532, 53998, 51415, 51305, 50323, 50836, 52548, 51559, 55748, 73746, 53891, 51011, 54035, 60596, 50840, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 51464, 55748, 57012, 51011, 55164, 51559, 54105, 51011, 57564, 51095, 52112, 50453, 51125, 50837, 51149, 50820, 51649, 51464, 54738, 53211, 77666, 51762, 51621, 50813, 52288, 56219, 50891, 51007, 50820, 51840, 53630, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 50927, 70175, 50839, 51840, 55164, 51437, 55828, 53383, 50927, 55998, 63490, 50840, 51532, 53998, 51069, 51277, 50850, 79371, 50836, 51840, 50857, 51718, 51102, 73746, 53891, 51205, 54788, 60596, 50840, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 51539, 55748, 57012, 51205, 55071, 51559, 54105, 50927, 77493, 51095, 52112, 50453, 50935, 70175, 50841, 51840, 51750, 54738, 50813, 51453, 54359, 51213, 50827, 52385, 53400, 51393, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 51019, 50822, 51439, 50841, 52548, 53831, 51437, 55828, 53383, 50953, 54035, 63490, 50840, 51532, 53998, 51415, 50822, 51439, 50836, 52548, 51559, 55748, 73746, 53891, 51011, 61221, 60596, 50840, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 51464, 55748, 57012, 51011, 55071, 51559, 54105, 51019, 51242, 50798, 51095, 52112, 50453, 51125, 50837, 51149, 50820, 51649, 51464, 54738, 50813, 51453, 54359, 51019, 51589, 50813, 52288, 51121, 51007, 50839, 51840, 54534, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 75412, 51007, 50820, 51840, 53754, 51437, 55828, 53383, 51069, 54788, 63490, 50840, 51532, 53998, 51205, 54954, 50825, 51007, 50820, 51840, 51437, 55748, 73746, 50857, 53758, 55998, 60596, 50840, 51572, 50374, 54936, 61374, 51553, 53114, 51069, 58176, 50825, 51007, 50820, 51840, 51406, 55748, 62885, 51553, 50862, 51618, 63041, 51553, 53688, 50927, 55732, 51095, 51782, 52388, 54363, 50850, 50825, 51007, 50841, 51840, 50855, 57563, 77794, 53217, 51069, 50959, 51224, 51239, 56399, 51224, 50840, 51621, 50813, 53400, 51681, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 50843, 50383, 53692, 51134, 50913, 50813, 52091, 51449, 51678, 52407, 52252, 51878, 51402, 50874, 52906, 57851, 51019, 50822, 51439, 50841, 52548, 53831, 51437, 54702, 53383, 51213, 54035, 72594, 50813, 51532, 54221, 50953, 51305, 50323, 50836, 52548, 55476, 56428, 73746, 67560, 51701, 51314, 52736, 52263, 57876, 55998, 69319, 50836, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 55033, 56428, 57012, 51011, 55071, 51559, 54385, 51019, 71058, 69167, 56269, 51125, 50837, 51149, 50820, 51649, 51464, 55355, 53211, 50852, 57661, 51019, 51589, 61145, 52016, 51748, 51701, 51314, 52582, 51243, 52288, 54954, 50891, 51007, 50820, 51840, 53630, 51189, 50843, 56428, 50813, 51402, 50874, 52906, 57851, 50927, 50822, 51007, 50839, 51840, 55164, 51437, 54702, 53383, 51213, 55998, 72594, 50813, 51532, 54221, 51011, 56219, 79371, 50836, 51840, 56768, 56428, 73746, 67560, 54549, 65680, 51415, 71058, 69319, 50836, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 54539, 56428, 57012, 51415, 54327, 51559, 54385, 51213, 54788, 69167, 56269, 50935, 70175, 50841, 51840, 51750, 55355, 53211, 50852, 57661, 51213, 73049, 53400, 50866, 51149, 50825, 51439, 50834, 52548, 55136, 51189, 50843, 56428, 50813, 51678, 52263, 52091, 51671, 52252, 51878, 51402, 50874, 52906, 57851, 51019, 50827, 51439, 50841, 52548, 53831, 51437, 54702, 53383, 51415, 62285, 72594, 50813, 51532, 54221, 51186, 51501, 50323, 50836, 52548, 55476, 56428, 73746, 67560, 51701, 53849, 57876, 61525, 69319, 50836, 52736, 51080, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 55033, 56428, 57012, 51011, 55897, 51559, 54385, 50953, 74812, 69167, 56269, 51125, 50837, 51149, 50820, 51649, 51464, 55355, 53211, 50852, 57661, 67035, 52068, 50461, 52582 ]
[ 0, 250, 20902, 3152, 2214, 4246, 10, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 21072, 6, 8, 3459, 9590, 6, 2351, 41, 20425, 8, 33558, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 6, 5, 1349, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33301, 16, 3185, 30, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 272, 406, 6, 211, 6, 8, 1918, 406, 6, 8216, 7, 5, 2214, 18, 14899, 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 ]	[ 58402, 61627, 62251, 52096, 57697, 51293, 55494, 50665, 50302, 54270, 72842, 68086, 56568, 51129, 50446, 50832, 54044, 63850, 56584, 51693, 50458, 71087, 50799, 55494, 56130, 51693, 50421, 58118, 50982, 66049, 51258, 50425, 58118, 53356, 50832, 56609, 58118, 50837, 56096, 58025, 58118, 72215, 59336, 50436, 58118, 52621, 55494, 50440, 58118, 50984, 56568, 51129, 67823, 51991, 50443, 58118, 59279, 50832, 51693, 50447, 58118, 52772, 68097, 58118, 59835, 58118, 50827, 56584, 59923, 58118, 57450, 59336, 50459, 58118, 50835, 50799, 55494, 50415, 58118, 50820, 56130, 51004, 58118, 59490, 58118, 60161, 50832, 51693, 50424, 58118, 52712, 61672, 50427, 58118, 50825, 56096, 51693, 50431, 58118, 62886, 50665, 50306, 51036, 50434, 68097, 58118, 57320, 58118, 54123, 56643, 52096, 53460, 52096, 55494, 50440, 58118, 50833, 56568, 65112, 58118, 56892, 50832, 51258, 58118, 65261, 58118, 52772, 50832, 50908, 50452, 58118, 50820, 56584, 63820, 58118, 57029, 50832, 56047, 58118, 50839, 61332, 51693, 58118, 56166, 58118, 50844, 56130, 54605, 58118, 56856, 71087, 50424, 58118, 53906, 55494, 50427, 58118, 50851, 56096, 52445, 58118, 60093, 58118, 59347, 50832, 58721, 67823, 51605, 50436, 58118, 52600, 55494, 50439, 58118, 50827, 56568, 51129, 58118, 71696, 58118, 57785, 50832, 51004, 50448, 58118, 52772, 63850, 50452, 58118, 50863, 56584, 51693, 50455, 58118, 56399, 71087, 58118, 57995, 58118, 50827, 50799, 55494, 50416, 58118, 50870, 56130, 51693, 50419, 58118, 58659, 50832, 51258, 58118, 59045, 58118, 52670, 50832, 65368, 50665, 50306, 51894, 50429, 58118, 50907, 56096, 58025, 58118, 59347, 50832, 58721, 58118, 52904, 55494, 58118, 56755, 58118, 50870, 56568, 57536, 58118, 57785, 50832, 51693, 50447, 58118, 52846, 68097, 58118, 51128, 50452, 58118, 50891, 56584, 51306, 50455, 58118, 58958, 59336, 58118, 50907, 50799, 55494, 58118, 50907, 50416, 58118, 50870, 56130, 54303, 58118, 58115, 50832, 51693, 58118, 54951, 67823, 52069, 50426, 61672, 58118, 57845, 58118, 50984, 56096, 63256, 58118, 58039, 50832, 54483, 58118, 56006, 55494, 58118, 68977, 58118, 50863, 56568, 54189, 58118, 60402, 50832, 68466, 58118, 53567, 50832, 50908, 58118, 58207, 58118, 50863, 56584, 51693, 50457, 58118, 65241, 61672, 50460, 58118, 50912, 61332, 51693, 50665, 50306, 78996, 58118, 50912, 56130, 50982, 58118, 59109, 58118, 61183, 50832, 64024, 50770, 50295, 51307, 50424, 58118, 52641, 55494, 50427, 58118, 50844, 56096, 52445, 58118, 63163, 59336, 58118, 58316, 58118, 58946, 50832, 51693, 50440, 58118, 50829, 56568, 51258, 50443, 58118, 62182, 50832, 51693, 58118, 58510, 58118, 55514, 55494, 50452, 58118, 50863, 56584, 52445, 50455, 58118, 50984, 50458, 50832, 52611, 58118, 61969, 58118, 50982, 59626, 51443, 50893, 54379, 57771, 50668, 50341, 50864, 61961, 55392, 72571, 55392, 50798, 53837, 52761, 70431, 51063, 50917, 51075, 50977, 51978, 51012, 63201, 66308, 52172, 52677, 51392, 52270, 52667, 51019, 50878, 52380, 55580, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 53319, 51012, 52358, 52616, 73703, 51979, 50936, 52008, 60560, 52139, 52881, 70943, 51979, 52090, 51916, 50908, 52563, 50948, 52172, 51012, 52902, 53403, 63345, 51063, 50917, 51075, 50987, 51978, 51575, 52872, 52380, 50923, 55605, 52270, 52667, 70587, 53319, 56562, 51750, 52904, 70490, 51075, 50977, 51063, 50849, 54379, 51142, 61961, 51051, 72571, 50933, 52358, 52986, 66482, 51842, 57762, 50830, 54379, 51210, 59785, 51174, 50668, 50344, 51006, 51776, 50937, 56582, 51138, 51068, 53754, 60486, 51949, 50839, 51020, 51058, 51185, 51058, 51810, 60077, 58918, 54379, 55392, 50668, 50341, 50904, 61961, 53849, 72571, 52826, 51776, 50938, 56582, 50860, 63400, 55453, 50834, 51810, 50897, 51185, 50942, 51020, 50933, 56142, 50948, 52358, 52761, 70431, 51075, 50878, 51063, 50917, 51978, 51012, 60656, 66308, 52172, 51012, 53316, 51909, 52667, 51019, 50878, 52380, 52090, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 53319, 51012, 52358, 52616, 73703, 51979, 50924, 51983, 51899, 68325, 52881, 50927, 59083, 51916, 50870, 52563, 50948, 52902, 53223, 63345, 51063, 50937, 51075, 50866, 52228, 50923, 57878, 52491, 53757, 51392, 52275, 52667, 70587, 51978, 52466, 51750, 52958, 70490, 51063, 50873, 63639, 54379, 51470, 61961, 50907, 72571, 51174, 52358, 53044, 66482, 54727, 50911, 51956, 57762, 50830, 54379, 51524, 59785, 51210, 50668, 50344, 50912, 52394, 50936, 55605, 51909, 53268, 58918, 54379, 57598, 50668, 50341, 51128, 61961, 56004, 72571, 57598, 50668, 50347, 69103, 52228, 55469, 50839, 56142, 50948, 52358, 53576, 70431, 51063, 50937, 51075, 50866, 51978, 51012, 63201, 66308, 52172, 52677, 51392, 52270, 52667, 51019, 50878, 52380, 55580, 52223, 53018, 66308, 51063, 50849, 63639, 53319, 51012, 52358, 52616, 73703, 51979, 50936, 52008, 60560, 52139, 52881, 70943, 51979, 52090, 51916, 50908, 52563, 50948, 52172, 51012, 52902, 53403, 63345, 51063, 50917, 51075, 50866, 51978, 51575, 52872, 52380, 50923, 55605, 52270, 52667, 70587, 53319, 56562, 51750, 52904, 70490, 51063, 50849, 63639, 54379, 51142, 61961, 51051, 72571, 50933, 52358, 52986, 66482, 51842, 57762, 50830, 54379, 51210, 59785, 51174, 50668, 50344, 51006, 51776, 50937, 56582, 51138, 51068, 53754, 60486, 51949, 50839, 51020, 51058, 51185, 51058, 51810, 60077, 58918, 54379, 55392, 50668, 50341, 50904, 61961, 55392, 72571, 55174, 51776, 50938, 56582, 50860, 63400, 55453, 50834, 51810, 50897, 51185, 50942, 51020, 50933, 56142, 50948, 52358, 53223, 70431, 51063, 50937, 51075, 50866, 51978, 51012, 60656, 66308, 52172, 51012, 53316, 51909, 52667, 51019, 50878, 52380, 52090, 52223, 53018, 66308, 51063, 50849, 70998, 53319, 51012, 52358, 52616, 73703, 51979, 50924, 51983, 51899, 68325, 52881, 50927, 59083, 55569, 50839, 52563, 50948, 52902, 52761, 63345, 51063, 50937, 51075, 50866, 51960, 59158, 51909, 52667, 70587, 52969, 53393, 51750, 53018, 70490, 51063, 50937, 51075, 50866, 52358, 55698, 54799, 51735, 50444, 66482, 51983, 57762, 53373, 68325, 57143, 54990, 51073, 50456, 50953, 51575, 50870, 56142, 50948, 52969, 51735, 52358, 53576, 70431, 51063, 50917, 51075, 50977, 63201, 66308, 56319, 52270, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 55998, 52493, 52616, 73703, 51931, 60560, 52139, 52881, 50927, 59083, 51916, 50908, 52563, 50948, 52902, 53403, 63345, 51063, 50917, 51075, 50987, 51960, 65719, 52270, 52667, 50964, 55548, 51750, 52904, 70490, 52969, 50896, 51075, 50977, 51063, 50849, 52358, 52986, 66482, 51960, 57762, 53373, 68325, 57143, 53141, 55764, 50953, 53072, 59036, 52969, 51500, 56142, 50948, 52358, 52761, 70431, 51075, 50878, 51063, 50917, 60656, 66308, 53316, 51909, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 52358, 52616, 73703, 51983, 51899, 68325, 52881, 50927, 59083, 51916, 50870, 52563, 50948, 52902, 53223, 63345, 51063, 50937, 51075, 50866, 52008, 78602, 52275, 52667, 70587, 52969, 53235, 51750, 52958, 70490, 54799, 51427, 51063, 50873, 63639, 52358, 53044, 66482, 51956, 57762, 53373, 73005, 57143, 54990, 51454, 50456, 50953, 53072, 50839, 56142, 50948, 52358, 57056, 52969, 51566, 50420, 70431, 51063, 50937, 51075, 50866, 63201, 66308, 56319, 52270, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 54035 ]
[ 0, 250, 1769, 12, 20764, 3495, 8, 15855, 24904, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 3152, 6757, 483, 7513, 30, 21979, 9590, 6, 32909, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 12608, 8, 2060, 19983, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 66377, 58299, 55981, 50838, 52301, 50838, 53088, 50838, 56864, 55665, 55981, 50838, 52301, 50838, 53088, 52718, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 66377, 57197, 55981, 50838, 53245, 50838, 51859, 50838, 58226, 56109, 55981, 50838, 53245, 50838, 51859, 50838, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 66377, 54869, 55981, 50932, 52301, 50932, 53088, 50932, 56864, 66377, 56509, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 66377, 54980, 54609, 50932, 55981, 50932, 53245, 50932, 58226, 66377, 51003, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 53360, 52054, 50851, 53327, 58782, 55981, 50838, 52301, 50838, 53088, 50838, 56864, 50932, 51248, 52258, 50432, 55981, 50838, 52301, 50838, 53088, 50838, 55957, 53269, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 50932, 62493, 56897, 50822, 52612, 61013, 54609, 50838, 55981, 50838, 53245, 50838, 58226, 50932, 51248, 52258, 50456, 54609, 50838, 55981, 50838, 53245, 56517, 62493, 78200, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 56864, 50932, 54547, 53327, 51252, 51302, 50907, 59085, 50435, 61237, 58688, 53269, 52211, 50932, 56170, 50932, 55977, 50932, 55981, 50932, 54547, 50447, 61977, 55814, 51723, 50932, 63090, 50932, 53455, 50932, 53503, 50932, 59563, 50459, 61977, 51022, 63355, 51080, 52301, 51080, 53033, 50932, 50856, 52654, 56170, 50932, 55977, 50932, 55981, 50932, 59085, 76744, 51431, 50932, 52301, 50932, 51930, 50932, 50856, 52843, 51641, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 59085, 50459, 54547, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 54547, 53327, 58782, 63090, 50932, 54609, 50932, 55981, 56858, 50907, 59563, 50435, 61237, 58688, 53269, 52061, 50932, 53245, 50932, 51930, 50932, 54547, 55258, 52101, 50447, 61977, 61013, 51509, 50932, 53455, 50932, 53245, 50932, 51859, 50932, 59563, 55350, 79530, 61977, 50907, 67719, 51283, 53088, 51283, 53033, 50932, 50856, 52654, 55981, 50932, 52301, 50932, 59085, 50432, 51509, 50838, 51859, 50838, 76744, 51641, 50932, 53088, 50932, 51930, 50932, 50856, 52843, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 51243, 52301, 51243, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51793, 50932, 54547, 50447, 61977, 55814, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 50932, 59563, 50459, 61977, 51022, 67719, 51283, 53088, 51283, 53033, 50932, 73522, 50822, 53327, 58782, 55981, 50932, 52301, 56858, 50907, 51248, 52258, 50432, 51509, 50838, 51859, 50838, 52594, 56897, 53269, 51641, 50932, 53088, 50932, 51930, 50932, 73522, 50822, 52612, 61013, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 51248, 52258, 50459, 62493, 70968, 63355, 51080, 52301, 51080, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 54547, 50447, 61977, 55814, 51641, 50932, 55977, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 59563, 50459, 61977, 51022, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 50856, 52654, 63090, 50932, 54609, 50932, 55981, 50932, 59085, 76744, 52061, 50932, 53245, 50932, 54021, 50932, 50856, 52843, 51431, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 52301, 50932, 59085, 50459, 54547, 69494, 51080, 53503, 51080, 51930, 50932, 50856, 52654, 63090, 50932, 53455, 50932, 59085, 76744, 51641, 51080, 53088, 51080, 51930, 50932, 50856, 52843, 53455, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 52826, 52301, 52826, 53033, 50932, 50856, 52654, 56170, 50838, 55977, 50838, 55981, 50838, 59085, 50432, 56170, 50838, 55977, 50838, 55981, 50838, 76744, 56170, 50932, 54609, 50932, 55981, 50932, 51930, 50932, 50856, 52843, 56170, 50838, 54609, 50838, 55981, 50838, 59085, 50456, 56170, 50838, 54609, 50838, 55981, 56517, 54547, 50799, 56170, 50932, 55977, 50932, 55981, 50932, 53033, 50932, 54547, 53327, 58782, 51930, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 52211, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 51793, 50932, 54547, 50447, 61977, 55814, 51723, 50932, 63090, 50932, 55977, 50932, 53503, 50932, 52078, 50932, 59563, 50459, 61977, 51022, 63355, 51080, 52301, 51080, 53033, 50932, 73522, 50822, 53327, 55124, 56170, 50932, 55977, 50932, 55981, 50932, 51248, 52258, 55957, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 62493, 55921, 50822, 52612, 55814, 51641, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 51248, 52258, 50459, 62493, 70968, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 50856, 50907, 57493, 51550, 50422, 62493, 62071, 54504, 63090, 50932, 54609, 50932, 55981, 56858, 51022, 51248, 52258, 50434, 61237, 55484, 53269, 52061, 50932, 53245, 50932, 51930, 50932, 54547, 50446, 61977, 55814, 51509, 50932, 53455, 50932, 53245, 50932, 51859, 50932, 51248, 52258, 50458, 61977, 62127, 50851, 67719, 51283, 53088, 51283, 53033, 50932, 73522, 50822, 53327, 55124, 55981, 50932, 52301, 50932, 51248, 52258, 50432, 51509, 50838, 51859, 50838, 55957, 53269, 51641, 50932, 53088, 50932, 51930, 50932, 62493, 55921, 50822, 52612, 55814, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 51248, 52258, 50459, 62493, 70968, 63355, 51243, 52301, 51243, 53033, 50932, 73522, 50822, 53327, 55124, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 50932, 51248, 52258, 57096, 52101, 52594, 58688, 52691, 51793, 50932, 69447, 55258, 51252, 52612, 55814, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 56858, 52101, 51248, 52258, 55350, 79530, 62493, 70968, 67719, 51283, 53088, 51283, 53033, 50932, 50856, 52654, 55981, 50932, 52301, 50932, 59085, 50432, 51509, 50838, 51859, 50838, 76744, 51641, 50932, 53088, 50932, 51930, 50932, 50856, 52843, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 51080, 52301, 51080, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 54547, 50447, 61977, 55814, 51641, 50932, 55977, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 59563, 50459, 61977, 51022, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 73522, 50822, 53327, 55124, 63090, 50932, 54609, 50932, 55981, 50932, 51248, 52258, 55957, 53269, 52061, 50932, 53245, 50932, 54021, 50932, 62493, 55921, 50822, 52612, 55814, 51431, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 52301, 50932, 51248, 52258, 50459, 62493, 70968, 69494, 51080, 53503, 51080, 51930, 50932, 54547, 53327, 58782, 63090, 50932, 53455, 56858, 50907, 59563, 50435, 61237, 58688, 53269, 51431, 51080, 52301, 51080, 51930, 50932, 54547, 55258, 52101, 50447, 61977, 61013, 63090, 50932, 53455, 50932, 59563, 55350, 79530, 61977, 50907, 50799, 52211, 53233, 55981, 51243, 51522, 50932, 73522, 50822, 53327, 58782, 56170, 50838, 55977, 50838, 51248, 52258, 50432, 56170, 50838, 55977, 50838, 55957, 53269, 56452, 50932, 54609, 50932, 51868, 50932, 62493, 55484, 52843, 56452, 50838, 63090, 50838, 51793, 50932, 51248, 52258, 50456, 56452, 50838, 63090, 56517, 73522, 50822, 50799 ]
[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 81, 9756, 8669, 6, 228, 438, 4781, 2088, 6757, 6, 21072, 6, 6755, 12547, 6, 8, 21979, 8669, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 149, 63, 15352, 30054, 15229, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 1918, 6, 272, 6, 211, 401, 6, 1918, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50799, 51762, 51544, 79932, 53003, 51960, 55524, 52263, 50900, 51244, 51725, 52222, 50852, 57311, 50968, 50901, 51207, 51592, 54439, 68636, 51328, 50986, 51803, 59409, 50833, 65026, 52622, 50437, 50960, 53142, 50929, 52222, 51970, 62204, 63129, 58532, 51330, 69332, 51679, 51180, 56663, 50973, 51480, 55524, 51318, 50900, 51283, 51725, 52071, 50852, 51693, 50419, 51207, 52062, 67855, 69115, 50951, 50937, 50986, 52168, 54439, 51006, 50431, 50876, 50904, 71882, 51361, 66643, 50960, 52431, 50929, 51680, 57267, 51775, 50902, 51380, 50876, 64636, 51961, 51960, 51180, 53003, 63475, 51453, 50928, 53975, 71562, 74471, 51679, 51725, 51749, 50856, 54605, 50951, 50849, 51207, 51637, 50425, 50986, 51423, 50426, 51062, 57038, 66284, 50960, 59780, 50968, 51177, 50436, 60917, 50437, 50998, 64345, 50951, 57864, 52454, 50303, 72272, 50932, 50856, 67520, 51311, 51576, 50444, 51220, 51101, 50449, 51207, 66809, 50968, 66560, 71880, 51574, 50974, 51453, 51258, 50461, 51504, 51178, 56229, 50977, 52029, 50919, 50908, 65882, 51961, 51027, 51381, 50900, 77873, 50999, 50901, 51131, 51562, 51842, 56546, 51255, 50986, 51277, 50852, 57617, 77661, 62432, 50973, 51277, 51026, 66719, 54590, 50318, 61849, 51108, 51311, 51376, 61414, 51895, 50919, 53384, 68103, 51131, 51006, 56222, 51174, 51207, 54836, 50852, 76595, 51311, 53957, 50456, 50877, 51058, 54920, 51991, 77114, 50900, 51172, 51725, 51662, 62279, 51358, 58140, 53738, 50861, 50838, 51207, 51592, 56248, 51576, 68275, 50986, 51314, 50791, 54354, 50960, 68495, 51129, 55203, 51381, 50998, 52783, 50798, 51916, 53594, 50861, 51277, 50449, 62279, 51798, 50916, 53131, 50320, 51177, 51983, 50456, 51910, 52434, 50323, 50845, 64220, 59893, 50837, 54468, 51307, 73767, 51027, 51484, 52012, 51662, 63844, 52149, 65387, 74910, 51916, 61844, 51574, 52783, 56440, 51328, 53523, 53535, 50325, 51295, 51131, 51803, 52008, 50432, 51311, 56777, 52621, 51027, 50995, 50986, 51490, 54933, 54485, 50916, 52985, 50900, 53131, 50325, 51178, 65387, 50849, 63012, 66652, 54996, 54794, 50951, 57498, 51504, 51422, 62279, 51486, 52894, 52222, 50951, 51267, 51050, 66673, 52465, 53403, 50900, 51481, 50986, 55586, 57025, 53130, 50321, 51562, 50970, 79886, 54354, 50929, 54784, 53018, 50900, 51108, 50929, 50829, 50947, 51680, 53804, 54485, 50877, 51254, 50970, 51423, 50449, 50986, 51481, 70925, 63589, 50931, 75494, 50932, 59526, 50455, 66652, 62034, 51137, 63778, 54600, 50968, 60870, 62367, 52071, 54920, 52335, 50900, 52056, 50968, 51677, 51725, 52140, 62279, 51945, 54933, 63180, 51207, 51314, 55902, 50978, 56248, 51312, 50986, 51381, 74270, 50960, 56104, 57405, 50960, 52766, 50900, 51961, 50998, 51452, 52902, 67520, 50986, 51637, 58365, 51423, 50449, 51207, 57991, 50916, 75598, 50873, 51970, 50455, 65387, 55345, 51416, 63988, 59301, 50891, 55975, 56842, 51444, 51945, 69533, 51313, 64220, 51714, 57958, 51592, 50968, 66867, 51484, 50791, 54749, 63266, 51131, 51742, 58973, 63700, 69192, 50960, 51314, 71241, 51337, 50902, 51749, 52008, 50432, 50998, 51387, 50798, 53018, 51027, 51419, 51078, 52980, 53752, 54485, 50989, 51642, 50450, 51684, 60763, 52169, 50306, 71509, 50892, 51983, 50455, 64220, 52961, 50902, 57121, 56772, 52012, 52980, 73730, 51151, 54468, 51449, 51027, 51328, 50876, 51233, 62279, 51894, 58140, 62503, 51574, 51447, 56440, 69192, 51131, 52168, 53523, 64900, 51312, 50791, 54075, 51311, 72494, 57892, 50986, 51703, 63809, 50932, 53752, 54406, 50916, 52188, 56222, 51051, 51983, 50451, 50900, 51365, 50455, 62279, 55345, 50877, 71986, 73496, 51444, 51945, 52894, 51314, 50968, 70460, 50972, 67624, 51243, 64220, 51307, 55418, 64159, 51131, 52168, 58973, 59772, 51254, 50425, 50960, 51490, 53645, 51576, 50902, 51318, 51983, 50431, 50998, 52482, 51974, 57413, 50929, 51080, 57842, 51480, 50899, 51108, 52620, 53325, 50877, 53567, 51137, 50907, 50871, 69715, 60489, 51349, 55293, 51416, 61902, 61982, 62279, 51204, 54920, 51157, 50900, 51534, 50876, 51448, 51725, 51318, 54933, 53405, 50861, 51212, 51207, 62693, 53896, 50916, 50978, 50986, 55468, 59741, 51137, 51112, 50431, 69164, 51974, 57667, 64618, 51295, 58711, 51073, 51086, 51381, 53092, 51189, 51927, 51005, 53885, 50861, 50971, 51207, 50943, 51960, 50449, 51311, 51423, 50450, 51137, 61928, 65482, 55559, 64868, 52920, 50877, 50978, 72203, 50461, 62279, 51592, 66652, 51677, 54920, 51991, 77549, 50900, 51484, 51725, 51422, 54933, 53023, 50861, 50972, 51207, 51490, 61797, 51258, 56248, 51645, 50876, 51148, 50986, 51961, 50852, 62264, 53063, 50960, 63819, 52223, 52958, 64528, 50998, 51103, 61260, 53858, 50861, 50972, 50986, 52011, 50843, 53430, 50916, 52169, 50320, 50845, 51207, 51481, 62279, 50889, 56449, 53173, 51910, 52434, 50323, 51177, 51725, 50863, 64220, 59312, 51129, 54468, 51307, 50999, 51101, 51027, 51775, 51131, 51592, 63844, 51518, 65387, 51486, 67951, 52761, 50916, 50892, 50998, 54829, 52622, 53523, 60472, 51397, 50947, 51419, 50852, 52497, 53196, 51076, 56879, 79693, 52766, 51027, 51318, 51076, 50908, 51032, 51145, 50843, 55047, 53806, 50916, 50974, 50947, 52011, 50843, 57855, 65387, 51111, 55895, 60472, 51203, 50998, 51797, 50791, 51792, 54450, 51131, 74671, 63917, 66652, 66458, 50951, 56842, 67624, 51151, 62279, 51692, 52894, 52222, 50951, 51480, 51504, 52071, 58140, 55916, 51050, 51484, 53502, 51058, 50986, 54829, 52622, 57025, 71227, 51115, 50970, 54211, 50832, 55623, 59277, 65423, 51974, 51406, 55799, 51169, 57352, 50947, 51803, 55203, 51534, 64450, 53384, 57472, 50970, 51797, 50843, 72748, 62279, 50893, 50449, 50832, 55254, 50931, 51363, 50871, 51775, 50986, 51337, 52008, 50455, 64220, 59562, 51137, 50978, 50970, 50368, 51163, 60078, 50968, 56172, 51725, 51714, 54920, 52335, 50900, 51806, 50968, 51677, 65387, 51486, 66951, 63094, 51207, 51244, 55902, 50838, 51960, 50425, 50986, 51351, 56248, 51642, 50832, 53671, 59278, 70698, 51974, 51750, 61562, 51136, 52896, 50900, 51381, 50998, 52151, 50798, 52141, 60362, 62367, 57997, 50861, 50932, 50986, 52518, 50843, 53166, 50916, 52363, 50321, 50987, 51207, 51043, 65387, 51157, 56749, 53563, 51416, 63988, 50942, 50986, 66666, 61969, 69533, 51353, 57958, 51592, 50968, 51101, 50899, 51097, 51444, 52151, 64220, 51692, 71218, 53223, 63009, 50877, 51174, 51131, 51742, 63201, 50989, 62597, 51097, 50986, 51115, 50852, 51872, 62171, 50960, 51212, 51974, 51467, 61562, 50798, 55622, 51027, 50995, 51078, 51103, 50843, 53594, 50989, 51199, 50960, 51447, 50843, 62849, 50968, 50892, 77271, 57105, 51684, 60763, 70460, 51753, 50986, 52063, 54164, 59713, 50902, 70854, 51131, 55638, 63940, 73730, 51307, 50461, 70778, 51991, 54468, 51449, 50876, 51194, 51027, 51576, 52012, 51894, 52620, 53227, 50916, 51074, 51574, 51803, 52008, 50425, 65387, 51486, 53523, 51642, 50876, 51310, 51131, 51194, 50852, 53637, 53644, 51311, 50851, 51927, 51005, 57413, 51131, 51524, 63809, 51380, 51311, 50829, 50986, 51277, 50843, 56630, 53675, 50916, 50972, 51311, 51318, 50843, 62849, 51471, 55895, 50851, 57660, 51131, 51253, 50832, 52579, 50877, 50892, 51574, 56661, 50928, 52894, 51314, 50968, 77704, 51108, 51444, 52071, 64220, 51991, 63844, 50943, 52620, 53227, 50902, 60951, 51470, 51131, 51803, 51970, 50425, 67624, 51056, 53645, 52059, 50902, 51115, 50960, 51295, 50852, 51949 ]
[ 0, 250, 765, 6, 15352, 30054, 5175, 2125, 11, 272, 3694, 6, 4246, 10, 13305, 4, 85, 34, 41, 20425, 8, 1372, 16464, 6, 10686, 13, 10, 822, 19834, 4, 20, 2214, 16, 11, 204, 73, 306, 86, 6543, 8, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 50861, 51318, 65555, 72239, 54964, 50951, 56237, 51062, 54504, 51405, 60137, 51487, 54661, 50965, 51283, 50876, 56857, 51001, 54584, 50635, 51147, 60887, 50635, 51062, 54682, 50635, 51405, 57764, 50635, 52128, 54626, 50635, 50871, 51477, 50906, 62785, 50635, 50902, 55346, 50635, 50931, 57467, 50635, 51081, 50907, 59626, 51146, 51051, 50417, 51339, 54964, 80235, 50906, 56237, 50902, 54504, 50951, 60137, 51081, 54661, 51146, 56857, 51487, 54584, 50635, 50956, 51477, 50965, 60887, 50635, 50876, 54682, 50635, 51001, 57764, 50635, 51147, 54626, 50635, 51062, 62785, 50635, 51405, 55346, 50635, 50871, 51283, 50965, 57467, 50635, 65996, 59626, 76521, 50417, 51147, 54964, 51062, 56237, 51339, 50907, 53337, 57935, 60137, 50973, 54661, 50861, 57777, 56857, 50951, 54584, 50635, 50902, 51712, 50327, 60887, 50635, 51146, 54682, 50635, 50951, 51260, 50335, 57764, 50635, 51146, 54626, 50635, 50902, 51712, 50327, 62785, 50635, 50951, 55346, 50635, 50861, 57777, 57467, 50635, 50973, 50907, 59626, 50861, 51318, 65555, 72239, 54964, 50951, 56237, 51062, 54504, 51405, 60137, 51487, 54661, 50965, 51283, 50876, 56857, 51001, 54584, 50635, 51147, 60887, 50635, 51062, 54682, 50635, 51405, 57764, 50635, 52128, 54626, 50635, 50871, 51477, 50906, 62785, 50635, 50902, 55346, 50635, 50931, 57467, 50635, 51081, 50907, 59626, 51146, 51051, 50417, 51339, 54964, 80235, 50906, 56237, 50902, 54504, 50951, 60137, 51081, 54661, 51146, 56857, 51487, 54584, 50635, 50956, 51477, 50965, 60887, 50635, 50876, 54682, 50635, 51001, 57764, 50635, 51147, 54626, 50635, 51062, 62785, 50635, 51405, 55346, 50635, 50871, 51283, 50965, 57467, 50635, 65996, 59626, 76521, 50417, 51147, 54964, 51062, 56237, 51339, 50907, 53337, 57935, 60137, 50973, 54661, 50861, 57777, 56857, 50951, 54584, 50899, 51712, 50327, 60887, 51146, 54682, 51086, 51260, 50335, 57764, 51146, 54626, 51026, 51712, 50327, 62785, 50951, 55346, 51120, 57777, 57467, 50973, 50907, 54594, 78377, 51405, 55752, 50931, 56427, 50965, 51283, 51146, 55659, 50635, 51001, 77131, 50635, 50444, 50635, 51062, 71106, 50635, 50450, 50635, 50871, 51477, 50453, 50635, 50456, 50635, 51405, 67273, 50635, 59626, 50931, 51481, 55902, 51283, 51146, 55752, 51001, 57937, 50635, 50956, 51477, 50441, 50635, 50444, 50635, 51001, 57060, 50635, 50450, 50635, 51114, 70184, 50635, 50456, 50635, 50871, 51283, 50999, 56517, 50635, 59626, 51146, 55126, 51787, 52688, 50899, 51712, 50335, 55544, 50861, 77868, 52718, 50635, 50902, 51712, 50328, 68861, 50635, 50444, 50635, 50951, 74984, 51283, 50447, 50635, 50450, 50635, 50902, 70184, 50635, 50456, 50635, 50861, 56517, 50635, 59626, 50861, 78377, 51405, 55752, 50931, 56427, 50965, 51283, 51146, 55659, 50635, 51001, 77131, 50635, 50444, 50635, 51062, 71106, 50635, 50450, 50635, 50871, 51477, 50453, 50635, 50456, 50635, 51405, 67273, 50635, 59626, 50931, 51481, 55902, 51283, 51146, 55752, 51001, 57937, 50635, 50956, 51477, 50441, 50635, 50444, 50635, 51001, 57060, 50635, 50450, 50635, 51114, 70184, 50635, 50456, 50635, 50871, 51283, 50951, 56517, 50635, 59626, 50902, 55126, 50876, 52688, 50899, 78288, 51244, 58319, 55659, 50899, 59388, 51086, 56989, 51026, 52104, 50319, 50851, 50951, 56936, 69017, 50931, 53820, 51120, 80095, 50912, 51001, 54846, 62007, 59139, 53975, 51481, 50861, 55512, 55041, 50861, 77413, 73585, 54335, 50956, 67891, 73275, 54342, 50861, 70358, 75598, 54137, 50997, 52104, 50319, 68294, 50981, 57428, 51074, 56279, 67891, 52026, 50328, 58843, 50871, 51074, 58526, 51481, 50951, 74616, 50981, 58097, 51074, 53523, 72895, 51853, 50326, 54342, 50956, 74056, 53131, 50328, 54137, 50931, 75668, 52104, 50319, 50974, 50440, 50951, 64524, 50931, 54394, 50951, 61123, 70358, 69262, 50931, 61800, 50951, 53996, 50899, 64675, 64369, 62214, 50871, 77413, 50838, 54197, 51481, 50876, 67120, 50905, 53502, 74337, 52688, 51176, 64675, 66102, 51097, 56014, 55659, 51026, 73585, 78504, 50974, 55989, 74337, 52985, 51086, 64675, 66102, 62214, 50899, 51074, 58526, 51481, 50876, 77410, 55126, 50956, 65721, 52688, 50900, 73585, 55544, 50956, 52216, 50319, 52718, 50635, 50997, 75598, 75576, 50635, 50444, 50635, 50871, 77413, 57060, 50635, 50450, 50635, 50899, 72895, 50874, 51081, 70184, 50635, 50931, 53176, 50635, 50871, 52216, 50319, 50827, 51146, 56517, 50635, 58254, 59626, 50900, 51481, 50861, 55512, 55041, 50861, 77413, 73585, 54335, 50956, 67891, 73275, 54342, 50861, 70358, 75598, 54137, 50997, 52104, 50319, 68294, 50981, 57428, 51074, 56279, 67891, 52019, 50328, 59835, 50951, 53176, 50871, 52216, 50330, 54529, 60299, 58526, 51481, 50951, 51911, 50331, 58172, 51339, 53004, 50956, 52216, 50335, 53591, 51062, 52580, 50900, 72895, 51712, 50330, 55544, 50956, 74056, 64079, 52718, 50997, 52104, 50319, 51712, 50328, 56391, 50871, 70358, 57945, 52985, 50899, 72895, 51712, 50330, 59835, 51405, 53176, 50871, 52216, 50326, 51260, 50333, 50838, 54197, 51481, 51062, 51412, 51487, 58172, 51405, 53004, 50900, 52216, 50328, 56909, 51339, 52580, 51176, 72895, 52019, 50330, 58519, 51081, 52739, 50900, 52216, 50330, 53720, 51405, 52788, 51026, 52104, 50330, 75576, 50931, 53086, 50899, 52216, 50328, 54043, 51001, 52989, 51086, 52104, 50326, 70184, 50902, 53176, 50899, 52216, 50319, 50827, 50951, 56517, 51405, 50838, 58526, 51481, 51405, 67943, 50951, 53004, 50956, 74337, 77868, 53591, 50931, 52580, 50900, 52104, 50328, 50874, 51146, 71714, 51001, 52739, 50956, 52216, 50326, 50827, 51405, 56784, 50902, 52788, 50635, 50997, 52104, 50319, 58666, 50635, 50931, 53086, 50635, 50871, 64900, 54043, 50635, 50902, 52989, 50635, 50899, 52104, 50319, 59835, 50635, 50906, 53176, 50635, 50871, 64900, 54529, 50635, 58254, 59626, 51027, 51481, 50877, 58903, 55041, 50916, 80095, 72895, 50905, 53523, 67891, 73276, 54342, 50916, 70358, 52104, 50327, 54137, 51026, 71509, 52026, 50328, 50981, 55989, 56989, 51086, 52104, 50325, 52026, 50332, 58843, 50899, 51074, 54197, 51481, 50999, 51911, 50332, 50995, 53502, 55752, 51027, 72895, 51712, 50332, 55544, 50900, 77882, 77868, 52718, 51026, 73585, 52019, 50328, 50974, 55989, 52216, 50327, 52985, 51086, 73585, 78172, 56711, 50899, 74337, 50838, 54868, 51481, 50902, 51644, 50325, 51108, 56945, 72713, 52688, 51050, 67252, 78172, 70550, 51027, 55659, 51315, 73585, 51712, 50327, 68288, 51086, 72713, 52985, 51176, 67252, 78172, 73786, 51086, 51074, 54197, 51481, 50877, 60250, 50905, 53502, 72713, 52688, 51027, 78288, 51712, 50327, 55544, 50900, 64900, 65348, 52718, 50635, 51026, 73585, 52019, 50330, 68861, 50635, 50444, 50635, 50899, 74337, 57060, 50635, 50450, 50635, 51086, 71509, 50874, 50951, 70184, 50635, 50902, 53176, 50635, 50899, 64900, 50827, 51220, 56517, 50635, 61661, 59626, 51027, 51481, 50877, 58903, 55041, 50916, 80095, 72895, 50905, 53523, 67891, 73276, 54342, 50916, 70358, 52104, 50327, 54137, 51026, 71509, 52026, 50328, 50981, 55989, 56989, 51086, 52104, 50325, 50874, 51430, 78252, 50968, 53176, 50899, 52216, 50327, 54529, 57910, 54197, 51481, 51062, 50822, 51430, 51412, 50417, 51146, 53004, 50900, 52216, 50332, 56909, 50999, 52580, 51027, 52104, 50327, 51712, 50332, 55544, 50900, 74337, 77868, 52718, 51026, 52104, 50325, 51712, 50328, 50974, 55989, 72713, 74984, 52985, 51086, 52104, 50327, 50874 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 274, 538, 6, 4246, 10, 20902, 13305, 33301, 7513, 30, 31391, 1672, 9590, 8, 21072, 6, 7630, 14805, 10, 1372, 8, 20425, 6711, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 177, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51684, 50991, 50899, 50991, 50902, 55568, 62405, 52474, 59065, 50800, 50968, 51620, 50798, 57102, 52584, 57722, 78858, 52262, 52584, 57722, 50800, 57061, 54585, 71244, 69222, 51730, 53218, 51349, 71244, 69222, 51757, 51526, 66209, 59123, 51730, 53312, 51416, 60692, 50800, 56143, 54983, 50991, 50997, 50991, 50906, 55568, 62405, 51416, 60692, 66303, 51620, 50798, 57102, 51684, 61441, 64441, 52262, 51684, 61441, 50800, 57213, 54908, 60692, 66303, 51730, 53218, 51416, 60692, 66303, 51757, 52458, 77099, 50800, 51028, 51730, 53312, 52458, 77099, 50800, 67243, 57958, 50991, 50899, 50991, 50902, 55568, 62405, 52474, 59065, 50800, 50968, 51620, 50798, 57102, 52584, 57722, 78858, 52262, 52584, 57722, 50800, 57061, 54585, 71244, 69222, 51730, 53218, 51349, 71244, 69222, 51757, 51526, 66209, 59123, 51730, 53312, 51416, 60692, 50800, 56143, 54983, 50991, 50997, 50991, 50906, 55568, 62405, 51416, 60692, 66303, 51620, 50798, 57102, 51684, 61441, 64441, 52262, 51684, 61441, 50800, 57213, 54908, 60692, 66303, 51730, 53218, 51416, 60692, 66303, 51757, 52458, 77099, 50800, 51028, 51730, 53312, 52458, 77099, 50800, 67243, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 4246, 38668, 18569, 6, 21072, 6, 17605, 9590, 6, 3152, 6757, 6, 8, 3741, 27374, 594, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 10, 38451, 3938, 20889, 9, 727, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 83, 6, 230, 10431, 406, 6, 274, 10431, 119, 6, 230, 10431, 6, 8, 211, 3639, 7, 5, 980, 219, 8, 2635, 16464, 9, 42, 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 ]	[ 56103, 76501, 65725, 51109, 61155, 51109, 57041, 51159, 50799, 59521, 55572, 51052, 55267, 50810, 55831, 51109, 57041, 51109, 55837, 51159, 51402, 53004, 59521, 52516, 50833, 51510, 50912, 51302, 52010, 55831, 50866, 57041, 50866, 55837, 69353, 59521, 51031, 51361, 50984, 56431, 50866, 53956, 50866, 55862, 71148, 59521, 51745, 53947, 50810, 51570, 51022, 57041, 51109, 55837, 51109, 53136, 51159, 51572, 57043, 57665, 50447, 50852, 50912, 51382, 51052, 50833, 57041, 50866, 55837, 50866, 54173, 75409, 59521, 51392, 56838, 65753, 51187, 50803, 57041, 50866, 55837, 50866, 53136, 67238, 50688, 50303, 51187, 51252, 50799, 57224, 55461, 52010, 56431, 51109, 55521, 51109, 55862, 51159, 51402, 52101, 50420, 57224, 67116, 50833, 51510, 51022, 51302, 52010, 56431, 51109, 55521, 51109, 55837, 51159, 51361, 53720, 63018, 54279, 50827, 68773, 57865, 53432, 51052, 50808, 61155, 51109, 57041, 51109, 54142, 51159, 51572, 57043, 57865, 61940, 51858, 50808, 51382, 51052, 50808, 65725, 51109, 61155, 51109, 57041, 51159, 51647, 51022, 51453, 50808, 52198, 67992, 50827, 50799, 59521, 52750, 52010, 55831, 50866, 57041, 50866, 55837, 50917, 50417, 59521, 51239, 53004, 59521, 51156, 50833, 56431, 50866, 53956, 50866, 55862, 78768, 50688, 50303, 51156, 50912, 51302, 52010, 57041, 50866, 55837, 50866, 53136, 69353, 59521, 50811, 51361, 50984, 57041, 50866, 55837, 50866, 54173, 71148, 59521, 51072, 53947, 50810, 51570, 51022, 55837, 51109, 53136, 51109, 57106, 51159, 51572, 57043, 57665, 50447, 59521, 51759, 54823, 64748, 51463, 51052, 50833, 57041, 51109, 55837, 51109, 54173, 51159, 51647, 56838, 64748, 52675, 52937, 50688, 50303, 52675, 51252, 50799, 57865, 50976, 57665, 54142, 51422, 55862, 51422, 57106, 51486, 51402, 50827, 51039, 54588, 57224, 52873, 54325, 65753, 52279, 52010, 50429, 50801, 56327, 78289, 55456, 54134, 51553, 55920, 51553, 52911, 51068, 51049, 54988, 51068, 51594, 50803, 65725, 51109, 61155, 51109, 57041, 51159, 50453, 51553, 54403, 51224, 50803, 50799, 59521, 55572, 52010, 55831, 51109, 57041, 51109, 55837, 51159, 51402, 52101, 50420, 59521, 52516, 50833, 51510, 51022, 51302, 52010, 55831, 50866, 57041, 50866, 55837, 69353, 59521, 51031, 51361, 50827, 56431, 50866, 53956, 50866, 55862, 71148, 59521, 51745, 50801, 50827, 52068, 51658, 51052, 50808, 57041, 51109, 55837, 51109, 53136, 51159, 51572, 57043, 50801, 51858, 50808, 51382, 51052, 50808, 57041, 50866, 55837, 50866, 54173, 75409, 59521, 51392, 56773, 65753, 51187, 50808, 57041, 50866, 55837, 50866, 53136, 67238, 50688, 50303, 54212, 67992, 50827, 50799, 57224, 55461, 52010, 56431, 51109, 55521, 51109, 55862, 51159, 50417, 50852, 64080, 57224, 67116, 50833, 51510, 51022, 51302, 52010, 56431, 51109, 55521, 51109, 55837, 51159, 51361, 53720, 63018, 54279, 50827, 68773, 57865, 53432, 51052, 50808, 61155, 51109, 57041, 51109, 54142, 51159, 51572, 57043, 57865, 61940, 51858, 50808, 51382, 51052, 50808, 65725, 50866, 61155, 50866, 57041, 50917, 51647, 51022, 51453, 50808, 65725, 50866, 61155, 50866, 57041, 50917, 52198, 67992, 50827, 72723, 55572, 52010, 65661, 50866, 55831, 50866, 54240, 50917, 51402, 53004, 53631, 52516, 50833, 56477, 50866, 56431, 50866, 53956, 50917, 51510, 50912, 51302, 52010, 55831, 50866, 54240, 50866, 55837, 69353, 53631, 51031, 51361, 50984, 56431, 50866, 54240, 50866, 55862, 71148, 53631, 55572, 51508, 52729, 53930, 52448, 51022, 56431, 51109, 53956, 51109, 53136, 51159, 51572, 57043, 57665, 50447, 50852, 50912, 51382, 51052, 50833, 56431, 50866, 53956, 50866, 55862, 75409, 53930, 50898, 56838, 60706, 51239, 50803, 61155, 50866, 56431, 50866, 53956, 67238, 64748, 51239, 51252, 51755, 52010, 55831, 52644, 57041, 52644, 55837, 52903, 51402, 52101, 51039, 54588, 59521, 50898, 51022, 51302, 52010, 51361, 53720, 59521, 52750, 50827, 68773, 64748, 52750, 51052, 54134, 59521, 52223, 57043, 64748, 54036, 51858, 50808, 51382, 51052, 53987, 53930, 51156, 56773, 64748, 52675, 53848, 59521, 51779, 67992, 50827, 50799, 59521, 50976, 52962, 57802, 54275, 52006, 54945, 51039, 57079, 65753, 53933, 53433, 66622, 52580, 50688, 50303, 52750, 58163, 55104, 50852, 50810, 51361, 52877, 50804, 61618, 50801, 51779, 53103, 50801, 52984, 50579, 51550, 52612, 50882, 51382, 50822, 57041, 50866, 55837, 50866, 53136, 75409, 50801, 56662, 56838, 50801, 51779, 59714, 50803, 57041, 50866, 55837, 50866, 54173, 67238, 59011, 71568, 52750, 51052, 65209, 55771, 50808, 53956, 51109, 53136, 51109, 57106, 51159, 51914, 51151, 51617, 51307, 51982, 64163, 60612, 55771, 54448, 53133, 51052, 57079, 60612, 66622, 50844, 51302, 68494, 53956, 50866, 53136, 50866, 57106, 69353, 53133, 54046, 56386, 51269, 53782, 51582, 63685, 51550, 53956, 51134, 53136, 51134, 57106, 51191, 50435, 53133, 61940, 52229, 60207, 50858, 51570, 56050, 50856, 56854, 66027, 65932, 50856, 66622, 51550, 51382, 51052, 57488, 59603, 50882, 53136, 50866, 57106, 50866, 54030, 75409, 53133, 51663, 53820, 53930, 51239, 64992, 50907, 53956, 50866, 53136, 50866, 57106, 67238, 56072, 54376, 50361, 51002, 56700, 60207, 50874, 50799, 53930, 55461, 51052, 60035, 55771, 50858, 53956, 51109, 55862, 51109, 54173, 51159, 52949, 51047, 51953, 51103, 51617, 63229, 75057, 53066, 53930, 67116, 51252, 52880, 51218, 60729, 51252, 54267, 51134, 73973, 57488, 50803, 57041, 50866, 53956, 50866, 53136, 69353, 50856, 58701, 51123, 53489, 51116, 70273, 51372, 50812, 54142, 51134, 55862, 51134, 54173, 51191, 50435, 64748, 54279, 50363, 51024, 60207, 54362, 57865, 53432, 68494, 53503, 51047, 52421, 51103, 52317, 66584, 75057, 56854, 51820, 57865, 51059, 53978, 53232, 51218, 50447, 60612, 66622, 51123, 52661, 51134, 51382, 51052, 57488, 50858, 54142, 50866, 55862, 50866, 57106, 75409, 50856, 56386, 50851, 54832, 51116, 65095, 52462, 50791, 50984, 54142, 50866, 55862, 50866, 54173, 50917, 62190, 52229, 60207, 50851, 50799, 59521, 52750, 51052, 57802, 50821, 57041, 51109, 55837, 51109, 53136, 51159, 53144, 51151, 52421, 51307, 52333, 64163, 60612, 59532, 54448, 59521, 51052, 57079, 60612, 69253, 50844, 73973, 57488, 50858, 57041, 50866, 55837, 50866, 54173, 69353, 59521, 54046, 56386, 51269, 53782, 51582, 63685, 51550, 55837, 51134, 53136, 51134, 57106, 51191, 50435, 59521, 61940, 52229, 60207, 50858, 51570, 56050, 50801, 52229, 56854, 66027, 65932, 50856, 66622, 51550, 51382, 51052, 57488, 59603, 50882, 57041, 50866, 55837, 50866, 53136, 75409, 59521, 51663, 56386, 53176, 65753, 51239, 64992, 50907, 55831, 50866, 57041, 50866, 55837, 67238, 64748, 54376, 50361, 58290, 54336, 60207, 50874, 50799, 57865, 55461, 51052, 60035, 55771, 50821, 57041, 51109, 54142, 51109, 55862, 51159, 53503, 51151, 52421, 51307, 52317, 64163, 75057, 59532, 52871, 57865, 67116, 51252, 53469, 51417, 60729, 51269, 52661, 51115, 73973, 57488, 50803, 57041, 50866, 54142, 50866, 53136, 69353, 50856, 58701, 50912, 54832, 50889, 70273, 51372, 50812, 57041, 51134, 54142, 51134, 55862, 51191, 50435, 65753, 54279, 62127, 60207, 54362, 57865, 54279, 51052, 56050, 75057, 60806, 51820, 57865, 51573, 53978, 53469, 51241, 50447, 60612, 69253, 51123, 51382, 53972, 51594, 57488, 50858, 54142, 50866, 55862, 50866, 54173, 75409, 50856, 64136, 50912, 54832, 51111, 65095, 51550, 52352, 51372, 50851, 57041, 50866 ]
[ 0, 250, 765, 37903, 9, 5679, 26709, 5175, 930, 19, 10, 2933, 8, 3366, 219, 5466, 6, 4246, 38668, 22052, 6, 31391, 1672, 9590, 6, 21711, 102, 6, 38668, 483, 6, 8, 13305, 6, 278, 11, 272, 3694, 19, 10, 20889, 9, 21436, 741, 1685, 8, 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, 0, 0, 0 ]	[ 58402, 52998, 50795, 52585, 50800, 55538, 50795, 53865, 50918, 72286, 51036, 55575, 51036, 53370, 51036, 55931, 64163, 62733, 55747, 62733, 51620, 53787, 50795, 52585, 51628, 62733, 63363, 53354, 50795, 63370, 52831, 62733, 54811, 53787, 53658, 62733, 54721, 52585, 52809, 52998, 51923, 62733, 50879, 50799, 53907, 50795, 52584, 50800, 52956, 50795, 59610, 51036, 53733, 51036, 53818, 51036, 58714, 64163, 60160, 55747, 60160, 53950, 53283, 50795, 52584, 51628, 60160, 63363, 54505, 50795, 65270, 50800, 56078, 66584, 60160, 54811, 53283, 53658, 60160, 54721, 52584, 52809, 53907, 51923, 60160, 50879, 50799, 52998, 50795, 52993, 50800, 52912, 50795, 54971, 50918, 56833, 51492, 53370, 51492, 53949, 51492, 60047, 51492, 50417, 57788, 55747, 57788, 53950, 53787, 50795, 52993, 51628, 57788, 63363, 53354, 50795, 69031, 50800, 53304, 66584, 57788, 54811, 53787, 53658, 57788, 54721, 52993, 52809, 52998, 51923, 57788, 50879, 50799, 52998, 50795, 52993, 50800, 53159, 63229, 57788, 55747, 57788, 53950, 53787, 50795, 52993, 51628, 57788, 63363, 53354, 50795, 69031, 50800, 58083, 66584, 57788, 54811, 53787, 53658, 57788, 54721, 52993, 52809, 52998, 51923, 57788, 50879, 50799, 61279, 50795, 51416, 50800, 53919, 50795, 53865, 50918, 65852, 52045, 54884, 52045, 53370, 52045, 55931, 52045, 50417, 55301, 55747, 55301, 53950, 52998, 50795, 51416, 51628, 55301, 63363, 53787, 50795, 54908, 50800, 53554, 66584, 55301, 54811, 52998, 53658, 55301, 54721, 51416, 52809, 61279, 51923, 55301, 50879, 50799, 61279, 50795, 51416, 50800, 53159, 63229, 55301, 55747, 55301, 53950, 52998, 50795, 51416, 51628, 55301, 63363, 53787, 50795, 57080, 50800, 52912, 50795, 58083, 50918, 70075, 50918, 54511, 50918, 53733, 50918, 55014, 66584, 57435, 54811, 52998, 53658, 57435, 54721, 51684, 52809, 61279, 51923, 57435, 50879, 50799, 61279, 50795, 52585, 50800, 52052, 50795, 53865, 50918, 72286, 51492, 55575, 51492, 53370, 51492, 55931, 51492, 50417, 62733, 55747, 62733, 53950, 52998, 50795, 52585, 51628, 62733, 63363, 53787, 50795, 63370, 50800, 53554, 66584, 62733, 54811, 52998, 53658, 62733, 54721, 52585, 52809, 61279, 51923, 62733, 50879, 50799, 61279, 50795, 52585, 50800, 53159, 63229, 62733, 55747, 62733, 53950, 52998, 50795, 52585, 51628, 62733, 63363, 53787, 50795, 63370, 52831, 62733, 54811, 52998, 53658, 62733, 54721, 52585, 52809, 61279, 51923, 62733, 50879, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 6, 20425, 5175, 37903, 11, 211, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 881, 21263, 9, 5, 33215, 16739, 274, 10431, 119, 406, 6, 211, 6, 230, 10431, 119, 406, 428, 245, 73, 387, 6, 274, 10431, 119, 406, 6, 211, 6, 70, 25451, 23, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55673, 58938, 51324, 55673, 57775, 51028, 51724, 51027, 55673, 59323, 51027, 55673, 59831, 67243, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 57551, 59625, 58938, 51315, 59625, 60847, 51315, 59625, 59830, 50877, 51757, 51315, 59625, 59831, 51028, 50830, 58066, 55673, 58938, 51324, 55673, 57775, 51028, 53402, 51027, 55673, 59323, 51027, 55673, 59831, 51028, 50830, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 67243, 54955, 55673, 51631, 51026, 55673, 57775, 50968, 51724, 51315, 61907, 59830, 50968, 51757, 51315, 55673, 59831, 67243, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 3495, 2214, 19, 10, 2842, 9, 5175, 2712, 6, 4246, 10, 11739, 9, 13305, 6, 32909, 6, 326, 5638, 18026, 6, 8, 17465, 102, 4, 20, 2125, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 11098, 8, 657, 7, 5, 20292, 6, 55, 25306, 3423, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 18, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 12608, 8, 2060, 6, 6946, 7, 63, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52552, 50630, 52274, 52274, 52274, 52552, 51001, 51199, 58526, 52169, 50304, 58007, 55126, 50956, 67220, 52688, 50965, 69667, 55544, 50956, 67220, 52718, 51176, 77803, 58007, 56391, 50956, 67220, 52985, 50965, 69667, 56711, 50956, 67220, 51006, 58526, 52169, 50317, 51962, 50305, 55041, 50871, 73793, 57104, 50965, 52363, 50317, 51058, 58783, 71227, 56480, 51176, 77803, 66714, 51477, 61614, 57299, 50965, 61703, 50956, 78393, 51006, 57346, 64611, 73793, 71508, 70589, 51028, 57104, 51040, 64238, 52363, 50312, 52363, 50321, 62050, 51147, 51006, 55203, 71678, 67307, 51962, 50319, 61972, 51147, 51006, 55895, 53130, 50307, 53130, 50312, 53130, 50319, 61703, 50876, 51006, 55881, 52169, 50300, 52169, 50304, 66714, 58187, 51197, 53130, 50302, 61875, 75865, 63821, 61417, 51503, 77803, 53130, 50307, 53130, 50300, 65479, 54058, 53777, 51380, 51503, 65876, 53130, 50307, 53130, 50300, 71387, 50974, 79705, 60236, 51962, 50288, 52026, 50300, 60726, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59791, 50876, 57299, 50965, 61703, 53777, 67220, 51006, 79705, 73658, 51962, 50288, 52026, 50300, 60726, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 55512, 51006, 79705, 71678, 51962, 50288, 52026, 50300, 60115, 53407, 67220, 57104, 53777, 52363, 50312, 62050, 53250, 67220, 56480, 54414, 51477, 50956, 52363, 50283, 52026, 50295, 59242, 50906, 51006, 56222, 61703, 53777, 64066, 51006, 79705, 60236, 51962, 50288, 52026, 50300, 60115, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59242, 50876, 57299, 50965, 61703, 53777, 67220, 51006, 78857, 60236, 51962, 50293, 72110, 60115, 53407, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 52363, 50307, 52363, 50288, 52026, 50300, 59242, 53250, 67220, 57299, 57147, 52363, 50312, 61703, 54414, 67220, 50838, 79705, 67307, 67220, 51568, 50288, 52026, 50300, 60115, 53777, 77964, 57104, 54414, 64328, 53130, 50314, 51644, 50283, 52454, 50295, 57648, 53250, 77964, 56480, 57147, 51380, 50965, 53130, 50316, 51568, 50288, 52026, 50300, 59242, 50956, 57299, 50965, 53130, 50316, 54509, 53777, 77964, 51006, 50799, 56853, 51644, 50288, 52026, 50300, 60726, 56853, 60420, 78502, 67891, 58069, 56853, 52363, 50307, 67816, 63257, 55378, 56418, 77964, 53131, 50312, 53131, 50316, 70448, 56853, 52363, 50288, 52026, 50300, 59242, 53863, 77964, 53131, 50312, 67891, 58369, 53407, 64238, 53130, 50312, 71174, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 78857, 51962, 50293, 72110, 60115, 55343, 64611, 78502, 52104, 50317, 58069, 53407, 64238, 67816, 71174, 55378, 56853, 64611, 53131, 50312, 53131, 50317, 70448, 53777, 51477, 51503, 52026, 50300, 59242, 50956, 78502, 67891, 58369, 50956, 67816, 63257, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 50799, 56853, 51644, 50288, 52026, 50300, 60726, 56853, 60420, 78502, 67891, 58069, 56853, 52363, 50307, 67816, 63257, 55378, 56418, 77964, 53131, 50312, 53131, 50316, 70448, 56853, 52363, 50288, 52026, 50300, 59242, 53863, 77964, 53131, 50312, 67891, 58369, 53407, 64238, 53130, 50312, 71174, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 77632, 51962, 50290, 71117, 60115, 54414, 52169, 50306, 78502, 72397, 58069, 53250, 69887, 67816, 65273, 55378, 53077, 52169, 50306, 53131, 50312, 53131, 50314, 70448, 53777, 51477, 51197, 53130, 50307, 55200, 50861, 53131, 50314, 53131, 50319, 54323, 52046, 53131, 50295, 54509, 53777, 64716, 53131, 50317, 53131, 50307, 51079, 79705, 73658, 51962, 50288, 52026, 50300, 60115, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59242, 50876, 57299, 50965, 61703, 53777, 50827, 50876, 72486, 53777, 50864, 50799, 56853, 65482, 51962, 50293, 72110, 60115, 53863, 52169, 50317, 57104, 56853, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 52363, 50288, 52026, 50300, 59242, 56853, 60420, 53131, 50312, 53131, 50316, 67042, 56853, 52363, 50281, 52454, 50293, 58843, 53407, 64611, 53131, 50312, 53131, 50317, 51254, 50799, 53777, 51962, 50283, 52026, 50295, 60115, 53250, 77964, 53131, 50312, 53131, 50316, 54335, 54414, 52363, 50283, 52454, 50295, 57648, 53250, 77964, 74998, 53131, 50317, 70448, 57147, 51477, 50965, 53130, 50316, 51644, 50288, 52454, 50300, 59791, 50956, 57299, 50965, 53131, 50316, 54509, 61478, 51006, 52770, 50838, 52608, 51006, 59378, 77964, 50838, 50799, 57147, 50978, 52770, 50905, 52394, 50905, 56381, 51644, 50288, 53130, 50307, 73793, 67220, 51962, 50300, 55126, 54414, 51006, 52770, 50838, 52394, 50838, 56381, 52688, 53250, 51058, 52770, 50974, 52394, 50974, 56381, 51712, 50288, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 55544, 55343, 51006, 52770, 51006, 52394, 50838, 56381, 52718, 53777, 50974, 52185, 50974, 52394, 50974, 56381, 51712, 50288, 53130, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 55103, 53777, 50838, 52185, 50838, 52394, 50838, 56381, 52985, 53777, 51058, 52185, 51058, 52394, 50974, 56381, 51712, 50288, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 56711, 53250, 51006, 52770, 50838, 52394, 51006, 56381, 50838, 50799, 57147, 50978, 52770, 50978, 52608, 50978, 56381, 51644, 50288, 53130, 50307, 73793, 67220, 52415, 50300, 55041, 53250, 51006, 52185, 50838, 52394, 51006, 56381, 57104, 55343, 51058, 52185, 51058, 51978, 51058, 58881, 51712, 50293, 78067, 53130, 50312, 53130, 50317, 53130, 50305, 54342, 53407, 51006, 52226, 51006, 52656, 50838, 58881, 56480, 53777, 51477, 51643, 51477, 52656, 51477, 56381, 51477, 51503, 53130, 50307, 53130, 50312, 53130, 50316, 52415, 50300, 54058, 51503, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 54509, 53777, 50827, 51643, 50827, 52656, 50827, 56381, 54529, 53777, 50864, 51643, 50864, 52656, 50864, 56381, 50864, 50799, 56853, 50978, 52226, 50905, 51978, 50905, 58881, 51644, 50293, 72110, 60115, 53863, 51006, 52226, 50838, 51978, 51006, 58881, 57712, 78502, 52104, 50317, 58069, 56853, 51058, 52226, 50974, 53580, 50974, 58881, 59704, 67816, 71174, 55378, 53407, 51006, 52226, 51006, 53580, 51006, 58881, 64611, 53131, 50312, 53131, 50317, 70448, 53777, 51058, 52185, 50974, 52394, 50974, 56381, 51712, 50288, 53130, 50300, 55200, 56853, 50838, 52185, 50838, 52394, 51006 ]
[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 4246, 10, 2216, 11739, 9, 5921, 3343, 1290, 642, 5255, 6, 1481, 677, 2957, 16940, 6, 2662, 271, 6, 1076, 560, 31365, 25999, 6, 8, 856, 17993, 6, 2351, 10, 19448, 5466, 19, 10, 11602, 9, 657, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 5204, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 401, 6, 272, 406, 6, 1918, 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 ]	[ 54458, 76501, 50660, 50301, 55597, 50728, 50289, 53201, 50452, 73291, 55856, 50454, 72619, 60130, 50457, 59752, 55856, 50796, 50796, 50457, 50755, 50337, 52720, 50459, 50755, 50332, 54270, 51601, 50755, 50328, 53201, 50418, 50755, 50327, 54171, 50444, 66682, 63667, 50454, 60792, 54228, 52478, 50755, 50327, 53055, 50428, 66682, 53838, 50439, 60792, 54211, 50452, 50755, 50320, 63510, 50796, 50444, 75885, 53697, 50453, 50728, 50292, 57771, 50454, 64013, 52025, 52177, 74935, 52988, 51236, 54088, 50427, 51236, 51252, 50431, 51236, 62551, 50903, 67458, 51236, 51820, 51236, 50942, 50449, 50903, 51365, 50453, 51170, 50984, 50460, 50903, 51824, 68111, 52177, 51170, 72640, 59308, 53801, 50422, 50728, 50294, 66595, 50903, 51738, 78739, 50987, 50433, 51170, 67446, 76054, 51748, 50457, 51889, 52462, 50796, 50439, 61344, 50361, 50413, 50728, 50292, 57771, 50440, 51236, 54146, 50445, 51236, 60979, 59308, 53486, 50450, 51236, 74022, 51236, 54896, 50903, 51737, 50461, 51236, 50812, 52478, 51236, 50897, 50424, 51236, 50897, 50431, 60028, 53486, 50432, 50903, 51524, 50433, 51170, 51051, 50440, 58061, 50361, 50412, 50446, 51170, 51365, 50448, 50903, 52167, 50456, 50728, 50291, 55086, 50457, 67581, 52011, 51236, 72666, 51166, 50461, 51236, 51319, 53069, 51236, 54351, 58113, 52441, 50903, 74525, 51889, 71133, 51236, 65599, 51383, 51693, 50428, 51236, 56080, 61759, 51447, 50436, 51170, 50987, 50441, 58563, 76395, 50728, 50287, 52783, 50442, 50903, 51212, 50448, 51170, 54004, 50755, 50320, 53306, 50455, 51170, 53597, 50606, 54088, 50903, 60078, 50903, 64224, 51236, 50862, 51809, 51236, 72250, 66682, 51269, 50419, 50903, 51192, 51236, 50921, 51889, 72656, 60792, 50834, 50716, 50277, 58878, 56919, 60312, 50933, 50428, 55540, 50827, 53587, 56552, 54269, 73418, 60028, 51376, 53546, 54299, 59651, 55233, 57307, 72619, 50828, 73291, 50809, 61344, 50836, 58113, 51051, 50716, 50277, 52923, 67195, 52444, 73291, 51470, 72619, 51006, 61344, 51006, 60028, 51079, 74935, 66377, 55548, 74508, 59360, 50716, 50277, 51051, 50442, 50755, 50320, 51254, 50446, 58113, 80246, 73291, 50809, 72619, 50836, 61344, 50836, 60028, 50987, 50903, 50897, 50455, 73291, 50827, 72619, 50844, 61344, 50844, 75885, 54529, 50755, 50299, 51233, 50903, 50942, 51601, 59308, 51174, 51383, 63180, 70874, 50862, 67058, 50862, 59752, 50880, 67581, 50955, 55233, 55759, 55023, 55139, 52628, 50716, 50287, 60342, 53587, 51210, 50423, 67058, 51051, 70874, 51254, 59752, 50987, 59308, 50933, 50424, 64013, 51006, 50716, 50287, 53970, 60629, 71093, 61057, 53546, 53450, 54269, 69118, 55540, 63444, 50755, 50301, 51363, 50716, 50289, 50955, 60312, 53756, 50830, 51236, 54075, 60028, 51174, 51270, 59051, 73291, 50836, 72619, 50836, 61344, 50809, 58113, 51142, 50716, 50289, 62156, 54880, 54772, 59797, 73291, 50844, 72619, 50844, 61344, 50942, 60028, 51079, 74935, 51351, 50716, 50289, 60623, 59904, 64206, 52510, 50755, 50320, 51174, 51170, 59787, 58113, 51051, 51383, 69008, 73291, 50809, 72619, 50809, 61344, 54139, 60028, 51006, 50903, 57071, 52485, 61344, 50854, 73291, 51051, 72619, 50955, 75885, 50933, 50903, 68063, 51270, 73562, 50755, 50299, 51411, 50716, 50287, 57277, 59532, 50809, 52177, 59308, 51254, 50421, 70874, 50862, 67058, 50836, 59752, 50880, 67581, 50955, 50716, 50287, 62156, 61221, 55507, 62588, 70874, 50912, 67058, 50844, 59752, 50827, 59308, 50844, 64013, 50897, 50716, 50287, 53948, 65303, 55658, 50755, 50301, 51048, 50716, 50277, 53948, 59093, 60028, 51051, 50716, 50277, 61221, 61868, 72619, 50836, 61344, 50809, 73291, 50812, 58113, 50933, 51170, 54905, 72619, 50827, 61344, 50827, 73291, 51142, 60028, 50901, 74935, 51189, 50903, 50977, 50442, 51170, 60812, 58401, 50972, 58280, 50972, 50755, 50320, 51363, 51170, 52555, 58113, 51142, 51236, 65415, 73291, 50809, 72619, 50836, 61344, 50854, 58401, 51142, 58280, 51142, 60028, 50838, 51236, 57459, 72619, 50827, 73291, 51210, 61344, 51210, 60828, 51376, 66296, 51376, 75885, 75478, 50897, 50799, 62762, 51006, 72353, 51006, 50755, 50299, 51267, 50418, 58401, 51174, 58280, 51174, 59308, 51174, 51889, 69280, 70874, 50836, 67058, 50836, 59752, 50812, 58085, 51254, 59776, 51254, 67581, 51194, 50716, 50287, 58972, 52923, 55507, 59953, 70874, 50912, 67058, 50912, 59752, 51142, 64013, 50917, 50716, 50287, 60623, 60629, 77716, 52167, 50431, 58401, 52441, 58280, 52441, 67471, 51255, 50716, 50285, 60623, 68066, 60028, 51172, 51889, 52167, 50439, 50660, 50304, 50862, 57447, 50809, 72619, 50800, 58113, 51174, 50716, 50285, 63088, 52923, 50385, 52272, 62859, 50660, 50304, 50851, 57447, 50827, 72619, 50933, 64657, 51006, 50716, 50285, 50955, 52428, 51698, 51365, 51383, 72615, 52179, 50447, 58061, 51172, 50660, 50304, 52378, 50716, 50280, 50955, 57657, 63054, 58678, 70570, 67058, 51737, 50455, 61344, 50851, 73291, 51210, 58085, 51376, 59776, 51376, 75885, 50836, 74935, 50809, 59308, 50809, 50716, 50280, 50836, 59877, 54897, 54647, 51270, 67238, 67058, 52167, 74935, 50827, 75885, 51142, 59308, 50933, 50716, 50280, 61221, 50897, 50903, 50897, 51809, 61344, 51006, 73291, 51283, 58085, 51254, 59776, 51254, 59877, 54351, 67058, 55197, 57587, 51210, 60609, 51210, 50903, 59768, 61344, 52192, 58108, 51210, 61962, 51210, 75885, 50836, 74935, 50836, 59308, 69573, 71093, 67161, 58061, 51376, 58085, 51376, 59776, 51376, 75885, 50912, 74935, 50827, 59308, 50851, 57657, 61040, 53998, 61404, 50844, 70874, 51051, 57587, 51254, 60609, 51254, 67749, 75688, 68412, 57447, 72666, 50380, 53047, 52179, 50440, 72619, 51051, 70874, 51006, 61404, 51006, 57587, 51174, 60609, 51174, 59455, 50818, 64013, 50809, 60028, 50809, 50716, 50282, 50836, 67749, 54784, 60836, 52597, 57447, 50941, 64013, 51210, 59455, 50933, 60028, 51051, 50716, 50282, 59904, 52923, 75956, 52179, 50448, 50716, 50277, 50942, 50449, 61344, 51806, 50660, 50301, 51679, 58108, 51679, 61962, 51679, 59877, 53948, 50977, 51170, 54859, 73291, 51737, 50903, 55144, 53268, 55233, 51142, 50457, 72619, 51174, 75885, 50809, 74935, 50809, 60028, 50836, 50716, 50277, 52923, 55023, 50987, 51170, 53793, 53587, 51210, 50461, 73291, 50864, 75885, 50827, 74935, 50854, 60028, 50933, 50716, 50277, 55998, 50897, 51236, 50854, 50799, 53546, 64982, 54269, 50851, 50416, 55540, 59834, 50755, 50301, 50981, 60312, 55816, 59109, 60028, 51470, 51236, 58405, 72619, 50809, 73291, 50800, 61344, 50800, 58401, 51254, 58280, 51254, 58113, 76524, 52765, 73291, 50851, 72619, 50827, 61344, 51252, 60028, 50972, 74935, 51003, 50430, 50903, 50942, 50433, 58401, 51709, 50434, 58280, 51709, 50755, 50320, 52718, 58113, 51174, 50903, 57434, 51862, 50442, 73291, 50809, 72619, 50836, 61344, 50812, 60028, 63675, 69775, 73291, 50827, 72619, 50854, 61344, 50844, 60828, 51470, 66296, 51470, 75885, 50942, 51889, 62911, 62762, 50933, 72353, 50933, 50755, 50299, 51411, 50716, 50287, 57277, 69821, 58401, 51254, 58280, 51254, 59308, 51254, 51170, 57434, 52167, 50458, 70874, 50812, 67058, 50812, 59752, 50800, 58085, 51174, 59776, 51174, 67581, 50838, 50716, 50287, 53351, 56880, 50897, 51170, 50880, 50799, 67058, 50827, 70874, 50933, 59752, 50933, 64013, 50897, 50716, 50287, 53970, 59719, 64647, 51365, 50418, 58401, 51447, 58280, 51447, 67471, 51212, 50716, 50285, 57277, 50897, 51236, 57466 ]
[ 0, 250, 33928, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 10, 11739, 9, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 3459, 8669, 6, 8, 21979, 9590, 6, 70, 1375, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 230, 406, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 3820, 19, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 76501, 51926, 51110, 50458, 51384, 51058, 54204, 51291, 51722, 51047, 54099, 51293, 52123, 51151, 52447, 51295, 51690, 78711, 56260, 67355, 67907, 50939, 51337, 51037, 51703, 50422, 50903, 53868, 50939, 55656, 51028, 61936, 51100, 50931, 51158, 50903, 57334, 50848, 51199, 74649, 50939, 51242, 50434, 50906, 56808, 50878, 50872, 50810, 51482, 50813, 51926, 70571, 53040, 51028, 59926, 51218, 50931, 50983, 51261, 50910, 51037, 52011, 74868, 50992, 51194, 50939, 51043, 51986, 51145, 51425, 51159, 53089, 58641, 57854, 51261, 50897, 71262, 50939, 51051, 50903, 52772, 51273, 65333, 52188, 50848, 51411, 51482, 51043, 52838, 50938, 50903, 55223, 50939, 51484, 50992, 51775, 50454, 51690, 61997, 51425, 50925, 51384, 50933, 50903, 50839, 55970, 51191, 69130, 71032, 50939, 51242, 66724, 51080, 51555, 51151, 53444, 51243, 52191, 51351, 51905, 68539, 56813, 51037, 51535, 50422, 68683, 66177, 50903, 58646, 51114, 71351, 68114, 51062, 50866, 50979, 51709, 50903, 58245, 50847, 51400, 50939, 51480, 50430, 51098, 50830, 51394, 50987, 50433, 51001, 57083, 51560, 50925, 52191, 50886, 51304, 77203, 57320, 51081, 51552, 50951, 51343, 50438, 51493, 50918, 50847, 53161, 50868, 52059, 51037, 52518, 61707, 51148, 51726, 51295, 51394, 55530, 59673, 51037, 50933, 64059, 50903, 52772, 51037, 51738, 50868, 51480, 70531, 51125, 51101, 51926, 61737, 57620, 67873, 50847, 63321, 52331, 77203, 57498, 51037, 51330, 54204, 51077, 74868, 77735, 50939, 51309, 57330, 51148, 52123, 51244, 51722, 51145, 52447, 50943, 51690, 68361, 60161, 50939, 51174, 50872, 51210, 50903, 58646, 51028, 67118, 51111, 57189, 51480, 51037, 50932, 50872, 51480, 51690, 50925, 50903, 56344, 50902, 50938, 50939, 51775, 50430, 52447, 50955, 51384, 50878, 50433, 50906, 56080, 53180, 50955, 51394, 50959, 50903, 52766, 50876, 51364, 50968, 51364, 51150, 51336, 50885, 51333, 64939, 50847, 51309, 50909, 51101, 61707, 51244, 52679, 52015, 51555, 51145, 51915, 51391, 51304, 69472, 57854, 50909, 51365, 50847, 51524, 50903, 52772, 50885, 51797, 71359, 71032, 50909, 51423, 51926, 50878, 50903, 57690, 51733, 63321, 59178, 56640, 50847, 57708, 50907, 51726, 51008, 51304, 50933, 50903, 50839, 56229, 51175, 50999, 51175, 51140, 78451, 51797, 50872, 51277, 67905, 57330, 51534, 51584, 51043, 51425, 50901, 51690, 68796, 52870, 52286, 69052, 52000, 63112, 51322, 71478, 51256, 51161, 50461, 51165, 51243, 54204, 51077, 51037, 51671, 50848, 51108, 50872, 51412, 50939, 51423, 52447, 51189, 51201, 52140, 50798, 60161, 50903, 53868, 50939, 51142, 70331, 51768, 57334, 50939, 51101, 75548, 50872, 51177, 50434, 70848, 73360, 51482, 62421, 53040, 51140, 51077, 51425, 68796, 57927, 50939, 51753, 50446, 50939, 51365, 50872, 51210, 50903, 52772, 72977, 51256, 51345, 51482, 50943, 51182, 66377, 55223, 50872, 51121, 50939, 51121, 50457, 50939, 61996, 50872, 60840, 50839, 54204, 50918, 51037, 51129, 50848, 51330, 50992, 52059, 51772, 51073, 52447, 51391, 51375, 51449, 51201, 73506, 56813, 50939, 51481, 50422, 50992, 51524, 50939, 51142, 50903, 52712, 51037, 53866, 51322, 51541, 50903, 58245, 61542, 50939, 51177, 50992, 77313, 67138, 51482, 62421, 54487, 50992, 58450, 51140, 51013, 51425, 56001, 56866, 50848, 52056, 50992, 53010, 50939, 51884, 50446, 50939, 51210, 50992, 51210, 52000, 70785, 52772, 51273, 50889, 68450, 51482, 51177, 50903, 55223, 50992, 63373, 51177, 50454, 52000, 75183, 51425, 59904, 50828, 55970, 51103, 51037, 60237, 66329, 50979, 51330, 50939, 51277, 51830, 51991, 52191, 51003, 51395, 52980, 51088, 52829, 50798, 60161, 50939, 51210, 50847, 52179, 50903, 52712, 66329, 68279, 50939, 51101, 50903, 57535, 50939, 51097, 66177, 51368, 62156, 57405, 51114, 52444, 80248, 51081, 50952, 51261, 51077, 79625, 50847, 51481, 51436, 73013, 57854, 50931, 51653, 51081, 51460, 62832, 68683, 50903, 52772, 51037, 53678, 50979, 51749, 65806, 50939, 51233, 51368, 51097, 51394, 51006, 50903, 55097, 51001, 68681, 51304, 66668, 50931, 75931, 50809, 57230, 50939, 50981, 51182, 51006, 50903, 50839, 60497, 50884, 51560, 51077, 52191, 51108, 51304, 62285, 56260, 50951, 53318, 50326, 51160, 50847, 51481, 50418, 51394, 52222, 50422, 50939, 51142, 77544, 50903, 52712, 66276, 50939, 51178, 50979, 51423, 50903, 59347, 50939, 50981, 68898, 51368, 60840, 53040, 51787, 51879, 50337, 50800, 52052, 50808, 51261, 51013, 51436, 58955, 56866, 51487, 51101, 50979, 52996, 50446, 51081, 64558, 51174, 50847, 51210, 50903, 52772, 51405, 51379, 51487, 51215, 51560, 51003, 51037, 51534, 50979, 51233, 65104, 50939, 51177, 51322, 50858, 51368, 61737, 57208, 51322, 61963, 60279, 51772, 52282, 50903, 50841, 53202, 51336, 50946, 52528, 50885, 51330, 73360, 50850, 51129, 51425, 51115, 51201, 51314, 51284, 61619, 60161, 75017, 50903, 52712, 50872, 52059, 67474, 50885, 51423, 50903, 56512, 67103, 50872, 51391, 50885, 51391, 51265, 60605, 53040, 51150, 51077, 51223, 50943, 51201, 51330, 51093, 74260, 57854, 65580, 51772, 51460, 50903, 52772, 50946, 51748, 50885, 51775, 75333, 67474, 51265, 50981, 51266, 51108, 50903, 57620, 69350, 68100, 50458, 50903, 50839, 53202, 51446, 50979, 51797, 51322, 51192, 51425, 51535, 51113, 51671, 51395, 51748, 50798, 58235, 50872, 57588, 50878, 50979, 51365, 51451, 51364, 50903, 52712, 74088, 50903, 58245, 50979, 51309, 50872, 51233, 50434, 78762, 69816, 50979, 51365, 51265, 60605, 52950, 51098, 50889, 51223, 68796, 61374, 51664, 51235, 50446, 58132, 68064, 50903, 52772, 51216, 57858, 51267, 50946, 51333, 50979, 70267, 51025, 51265, 63184, 57208, 51830, 50936, 50458, 50903, 50828, 54204, 51127, 50939, 53010, 51037, 58651, 50848, 52378, 69427, 52286, 52500, 51436, 57787, 60161, 50903, 53868, 50939, 50933, 51768, 56344, 50848, 51148, 50872, 51121, 73367, 50434, 74798, 59458, 51482, 50874, 51182, 51008, 51395, 50987, 50903, 52766, 51140, 51077, 51425, 51025, 51201, 51542, 51107, 51679, 50798, 57927, 69690, 50939, 51097, 50445, 50997, 68787, 50903, 58145, 51040, 55268, 50899, 71368, 50952, 51482, 63184, 57136, 61542, 50872, 51177, 50939, 51101, 50454, 51165, 51051, 51154, 51006, 50458, 50900, 76378, 51021, 71100, 50872, 51241, 51395, 50959, 51093, 51376, 50903, 50839, 55435, 50896, 51261, 50977, 52447, 50915, 51165, 51445, 51107, 51671, 50798, 59891, 67138, 50422, 50903, 52712, 51050, 51237, 51140, 51013, 51037, 51151, 50848, 51047, 50872, 51178, 50939, 51101, 50903, 59347, 63573, 59504, 52447, 63088, 53040, 51026, 51090, 78253, 51425, 68361, 56866, 50939, 51242, 50446, 50939, 51254, 70331, 51256, 51192, 50903, 52772, 51216, 51013, 51482, 63096, 55223, 51027, 51237, 50848, 64986, 51121, 50939, 51101, 50454, 51256, 71478, 71100, 60942, 50903, 50841, 55435, 51745, 51261, 51336, 51256, 52311, 52447, 51241, 51107, 55174, 51165, 53849, 51201, 55174, 50798, 56260, 67355, 50872, 51328, 50422, 68683, 66181, 50903, 52712, 51037, 52212, 50848, 51148, 50872, 51121, 50939, 51101, 50903, 56512, 50939, 51056, 62038, 51482, 62156, 53040, 51140, 51077, 51425, 64132, 57927, 70177, 50445, 50939, 67139, 51256, 69702, 52772, 51037, 51097, 62224, 62814, 50939, 51121, 51482, 50933, 50903, 57208, 52191, 50933, 50457, 74375, 50458, 51425, 50959, 50903, 50839, 54204, 51191, 51037, 50932, 74868, 67907, 50939, 51277, 51772, 51343, 52447, 68539, 58235, 68683, 50903 ]
[ 0, 250, 251, 6, 19448, 1619, 2125, 14, 28337, 4785, 9, 3495, 8, 15855, 930, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 20, 33301, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 381, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 406, 6, 83, 73, 387, 6, 163, 406, 6, 8, 3676, 1176, 406, 4, 20, 1374, 6711, 16, 15352, 30054, 8, 7630, 36041, 9, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 53215, 51313, 52316, 52071, 51794, 51293, 51301, 52151, 51733, 55277, 77348, 50908, 77348, 56736, 50799, 52371, 52071, 51883, 52071, 51794, 52071, 51491, 51714, 50450, 52405, 50981, 50711, 50334, 51013, 50799, 53215, 52151, 52316, 52071, 51794, 52071, 51301, 52071, 51558, 50981, 50415, 61249, 54243, 51905, 50981, 50427, 77347, 52424, 51629, 78024, 58302, 57197, 51284, 50981, 50451, 56065, 51013, 50799, 52371, 51151, 51883, 51293, 51794, 51313, 51491, 51293, 51266, 51391, 50415, 54012, 60823, 51600, 50981, 50427, 57570, 53912, 51488, 51145, 50440, 53916, 72423, 51818, 71428, 52948, 50800, 50799, 55390, 51264, 53001, 62340, 51818, 53548, 52109, 53063, 52671, 51134, 51651, 52950, 52571, 50943, 51465, 50889, 51651, 57991, 51672, 50834, 50799, 53655, 51894, 52102, 51538, 51719, 50918, 51249, 59185, 52671, 56585, 52671, 52781, 52671, 51233, 52109, 50889, 50445, 52202, 70635, 52155, 54105, 51249, 70834, 52671, 51109, 50799, 55390, 51655, 52571, 51933, 51465, 53241, 51651, 51605, 50415, 52202, 50851, 50418, 52155, 64560, 52671, 72416, 52671, 52781, 51672, 51134, 50456, 51719, 57264, 51651, 50886, 50799, 53655, 51359, 52102, 52392, 51719, 52536, 51249, 51677, 50430, 52671, 56585, 52671, 52781, 52671, 51101, 52109, 51417, 50445, 52202, 71303, 52155, 54915, 72106, 50452, 52671, 50977, 50457, 52202, 63357, 52155, 50886, 50799, 57081, 51307, 52326, 51991, 51410, 51605, 51719, 76971, 51596, 51253, 50438, 51249, 76630, 51719, 51346, 50456, 52326, 50933, 50799, 66165, 50802, 52326, 51518, 51410, 51486, 51719, 51538, 50420, 66165, 52528, 50431, 51596, 59992, 51596, 62293, 51596, 55040, 52671, 57012, 52202, 54086, 51249, 66794, 51596, 53820, 52671, 54421, 52202, 50813, 50799, 55390, 51036, 52102, 51091, 51465, 51685, 51651, 75189, 51789, 58861, 51789, 53803, 52109, 55214, 52102, 51238, 50444, 51465, 55149, 51719, 64620, 51651, 50795, 50799, 56698, 51103, 51410, 51141, 51303, 50918, 51651, 51291, 51672, 51472, 50430, 52671, 56585, 52671, 53894, 52671, 50955, 66165, 51535, 52326, 51016, 51410, 50807, 51719, 50889, 50442, 52202, 63178, 52155, 61230, 51789, 79308, 51249, 52643, 51019, 57651, 51213, 50854, 53534, 51894, 55390, 51264, 53001, 62340, 51818, 53548, 52109, 53063, 52671, 51056, 51651, 52950, 52571, 50943, 51465, 50889, 51651, 57991, 51672, 52920, 51069, 50925, 52288, 51714, 53655, 51894, 52102, 51538, 51719, 50918, 51249, 59185, 52671, 54350, 52671, 52781, 52671, 50878, 52109, 55480, 52202, 56112, 52155, 54105, 51249, 63653, 52671, 54194, 52202, 50813, 50927, 58223, 52155, 50904, 51019, 50874, 53534, 51714, 55390, 51655, 52571, 51933, 51465, 53241, 51651, 51605, 50416, 52671, 69596, 52671, 54077, 51672, 51134, 50456, 51069, 50942, 51719, 57264, 51651, 50886, 52288, 51714, 53655, 51359, 52102, 52392, 51719, 52536, 51249, 51677, 50429, 52671, 64458, 52671, 58572, 52671, 55467, 52109, 51417, 50443, 52671, 60886, 52202, 59433, 52155, 54185, 51249, 58031, 52671, 54424, 50927, 59697, 52202, 57651, 51228, 61764, 52155, 50867, 54798, 51293, 57081, 51307, 52326, 51991, 51410, 51605, 51719, 76971, 51596, 71266, 52202, 52781, 51249, 76630, 51719, 51346, 50456, 52326, 50933, 53400, 52069, 66165, 50802, 52326, 51518, 51410, 51486, 51719, 51538, 50420, 66165, 52528, 50431, 51596, 56579, 51596, 54077, 51596, 50955, 50443, 52671, 56112, 52202, 54105, 51249, 66794, 51596, 59631, 52671, 50862, 51019, 56054, 51213, 50822, 53534, 52151, 55390, 51036, 52102, 51091, 51465, 51685, 51651, 59047, 51789, 53910, 51789, 58193, 52109, 55214, 52102, 51238, 50444, 51465, 55149, 51719, 64620, 51651, 51923, 51011, 50857, 54798, 51183, 57081, 51103, 51410, 51141, 51303, 50918, 51651, 51291, 51672, 51472, 56903, 51141, 66165, 51535, 52326, 51016, 51410, 50807, 51719, 55082, 51249, 52643, 67110, 50459, 74901, 53534, 51933, 52830, 51307, 55390, 51353, 52102, 51241, 51465, 51141, 51651, 51310, 51672, 51241, 52537, 51293, 51847, 51151, 51232, 51353, 51512, 51449, 51429, 51353, 50801, 52437, 50843, 56657, 51789, 51400, 50432, 52102, 69876, 51465, 53415, 51719, 61032, 51651, 52616, 51672, 53641, 51818, 52555, 52948, 55250, 55647, 53001, 52485, 66381, 55386, 53971, 50846, 52288, 51991, 53148, 51103, 52176, 51318, 51198, 51109, 51494, 50914, 51119, 51189, 51777, 70812, 53150, 51198, 51477, 50843, 52925, 51789, 50813, 52176, 51145, 51494, 51191, 51119, 51310, 51777, 51351, 50435, 51789, 52950, 51883, 73125, 51789, 55945, 51198, 51542, 50447, 51596, 52800, 52671, 50813, 51794, 50914, 51777, 56230, 55647, 71107, 50454, 51789, 73575, 50927, 50854, 51494, 55236, 54359, 51019, 50862, 52176, 50874, 53534, 51486, 52065, 50914, 52537, 51191, 51847, 51159, 51232, 51623, 51512, 51486, 51429, 51486, 50801, 57705, 51596, 63630, 52671, 66118, 51789, 55035, 52830, 51486, 51847, 51542, 50843, 52667, 52537, 51244, 50433, 51789, 52616, 51847, 51172, 50447, 51232, 54980, 51512, 77776, 55647, 51429, 59132, 51069, 50812, 51847, 62064, 54991, 52537, 50886, 52288, 51692, 53148, 51103, 52176, 51134, 51198, 51025, 51494, 51189, 51119, 51518, 51777, 51692, 50801, 53150, 51198, 51419, 50843, 59483, 51789, 54215, 52176, 51183, 51494, 51417, 50435, 51789, 52781, 51883, 50889, 50439, 51789, 53999, 51198, 51679, 50446, 51596, 61495, 52671, 54105, 50927, 50854, 51491, 50914, 51777, 64918, 55079, 51789, 50942, 51019, 50854, 51119, 66947, 51228, 50857, 51494, 59597, 58472, 51596, 57651, 50927, 50854, 52176, 63729, 52671, 50836, 54798, 51894, 51301, 51486, 52649, 51945, 51198, 51124, 51494, 50807, 51119, 58307, 54639, 51686, 66010, 52202, 50977, 51198, 54640, 52417, 51708, 51417, 51198, 51134, 51494, 73779, 51119, 51642, 50450, 51491, 50889, 51494, 51221, 50843, 55647, 51198, 53920, 51205, 50910, 51708, 56525, 54943, 51198, 50908, 53400, 52392, 51113, 51518, 58001, 51307, 51708, 51221, 51198, 51623, 51494, 51161, 51119, 51538, 50801, 53150, 51708, 51363, 50843, 52925, 52083, 50813, 52533, 51047, 50435, 52083, 63025, 52083, 63634, 52083, 50855, 51708, 52378, 50447, 51198, 51330, 50448, 51789, 53886, 51357, 50943, 51494, 51412, 50843, 56688, 51596, 57168, 63439, 50454, 52083, 68429, 51019, 50833, 51708, 53097, 54359, 51213, 50836, 52533, 50971, 53285, 51991, 51488, 51538, 52537, 50914, 51847, 51124, 51232, 50983, 51512, 51141, 51429, 63524, 55893, 51789, 52710, 51847, 51419, 50843, 56670, 51686, 52749, 51686, 51377, 52537, 51148, 51232, 51562, 51512, 51637, 51429, 73779, 51847, 75589, 51357, 50943, 51429, 63342, 55647, 51512, 55345, 51069, 50859, 51232, 53530, 54991, 52537, 50904, 52288, 51933, 51113, 51077, 52176, 51241, 51847, 51204, 51198, 51204, 51494, 51204, 51119, 67839, 53150, 50843, 55739, 56387, 53196, 56387, 51591, 51847, 72687, 51295, 51494, 51413, 51119, 64345, 51491, 71158, 52176, 51381, 50804, 54131, 53595, 51489, 51363, 50843, 65163, 56782, 51777, 51101, 51224, 53268, 70490, 51429, 59250, 61852, 54943, 78683, 53534, 52536, 51301, 51307, 52537, 51003, 51847, 51221, 51232, 51191, 51512, 51422, 52120, 66999, 60740, 52992, 51847, 51419, 61394, 54883, 52537, 53063, 51789, 51159, 52537, 51127, 51232, 51562, 51429, 51241, 54643, 50839, 63664, 53044, 51847, 52256, 59056, 51429, 51221, 54001, 54859, 51512, 66947, 75740, 51232, 50897, 74268, 52537, 50854, 52288, 51991, 52176, 51134, 51198, 51591 ]
[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 278, 11, 5, 762, 9, 274, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 4, 20, 7212, 20889, 9, 5962, 13410, 228, 2289, 2386, 5, 2125, 7, 21815, 18399, 6, 19, 10, 33215, 16739, 4246, 272, 119, 6, 1918, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50906, 56329, 50902, 55586, 65882, 68303, 53492, 54146, 51234, 54088, 50899, 56869, 71626, 51862, 50435, 51120, 64240, 50297, 57070, 50441, 50871, 50978, 50449, 51799, 59170, 50876, 51253, 50871, 65988, 51120, 60326, 50900, 52996, 51809, 50906, 52019, 50302, 51199, 52759, 54228, 51360, 55036, 50309, 54521, 50431, 50956, 55765, 72689, 50997, 51738, 58783, 58090, 51085, 56308, 52206, 75222, 78933, 52136, 50447, 51027, 53161, 50956, 64399, 50871, 51737, 50461, 50965, 51965, 51176, 59170, 51050, 62609, 50956, 68886, 50871, 69066, 54734, 57912, 50429, 51027, 56393, 50307, 69066, 50430, 50877, 52059, 50871, 53313, 50444, 50931, 51637, 50445, 50871, 51806, 50965, 55036, 50316, 53674, 50446, 51799, 59294, 50294, 59821, 50459, 50900, 52059, 51176, 55789, 53069, 50965, 50978, 50427, 50931, 51178, 50965, 56615, 50871, 52056, 50876, 54298, 51120, 54228, 50428, 51799, 62609, 50441, 50968, 51178, 50442, 50916, 51753, 50965, 52063, 50876, 51961, 50455, 51001, 51380, 50456, 50956, 52996, 50861, 54298, 50973, 54861, 55774, 56563, 51214, 53055, 57731, 50902, 51884, 50973, 54848, 50899, 55584, 50871, 55789, 50438, 50973, 52011, 50439, 51086, 54344, 51085, 57912, 50861, 69066, 52206, 62609, 50956, 69895, 50455, 50876, 52482, 50900, 54126, 50307, 57826, 72786, 52946, 55753, 50951, 51047, 50422, 51197, 54861, 50861, 51314, 51001, 52147, 52046, 56393, 50314, 55812, 50436, 50956, 54126, 50302, 51737, 50437, 50900, 52462, 50451, 50999, 51183, 50452, 51197, 52059, 50877, 51314, 52046, 51884, 50876, 54532, 50931, 52263, 52591, 68274, 50421, 51027, 54126, 50307, 54088, 63686, 60968, 50951, 58532, 51961, 50436, 50902, 53697, 51799, 55584, 51120, 56615, 50906, 56615, 50452, 50931, 58520, 52063, 50902, 57800, 50306, 51862, 50997, 60754, 50906, 54088, 51050, 54071, 52478, 50877, 51109, 51027, 52188, 50871, 53161, 51120, 62609, 50419, 51799, 56308, 50899, 58961, 50431, 50906, 51534, 71288, 60318, 54848, 50871, 54298, 50443, 52206, 53726, 50446, 50902, 51680, 50447, 50916, 52431, 51085, 52063, 50448, 50906, 56308, 50461, 50997, 51542, 53997, 61653, 50419, 50861, 50981, 50428, 50877, 51391, 51027, 51961, 50442, 50906, 51637, 50443, 51026, 58090, 50916, 61450, 50861, 69895, 50458, 50902, 55086, 50459, 50871, 58898, 51247, 58961, 50877, 55812, 51050, 69066, 55746, 50956, 56308, 50427, 51050, 63510, 50443, 50876, 53801, 57428, 50359, 50399, 50445, 50877, 50359, 50398, 51809, 51028, 58556, 50307, 50359, 50399, 74850, 54691, 50418, 51050, 52462, 50419, 50877, 63069, 50430, 50997, 53486, 50434, 50871, 56308, 50440, 50902, 52980, 50445, 50931, 72887, 51081, 60754, 51146, 59593, 51339, 55397, 51339, 50904, 51601, 51339, 63749, 67558, 50419, 51339, 58115, 50899, 60243, 51487, 53991, 50871, 54521, 50424, 50876, 51709, 51339, 51297, 50425, 51487, 70898, 51339, 71729, 51487, 66059, 51339, 58467, 51487, 57869, 51339, 68210, 51487, 57514, 51040, 79675, 51797, 50438, 51339, 51297, 50439, 50906, 51534, 51487, 64100, 51339, 51128, 50443, 51487, 60822, 51339, 51297, 50446, 51487, 65807, 51339, 51550, 50449, 51487, 54185, 50900, 50363, 50410, 50451, 50956, 58651, 50453, 50871, 58651, 50455, 50906, 50932, 50460, 50931, 51524, 51809, 50999, 77678, 51405, 51319, 50422, 51339, 53109, 50877, 50932, 50425, 51339, 61036, 51339, 52767, 51339, 55643, 51487, 59051, 50965, 51477, 50437, 51339, 52742, 51487, 66116, 51339, 69157, 51487, 60862, 51339, 61794, 51487, 54914, 51339, 60062, 51487, 69232, 51339, 55097, 51487, 77112, 51484, 50455, 51339, 55293, 51487, 62298, 51339, 61824, 51487, 50941, 68818, 51022, 50416, 50899, 51174, 50419, 50965, 72599, 50931, 51047, 50433, 51147, 51051, 50437, 51062, 50955, 50441, 51146, 51123, 50443, 51339, 56892, 51339, 54004, 51339, 71300, 52015, 50453, 51339, 54319, 51487, 57023, 51339, 79163, 51419, 50461, 51487, 50886, 51601, 51339, 56166, 51487, 64159, 51339, 56856, 51339, 59768, 51487, 60931, 51339, 52670, 50968, 51025, 50427, 51487, 64755, 51339, 51126, 50433, 51430, 61284, 51339, 64000, 52980, 57267, 53486, 50439, 50973, 54829, 50441, 51001, 51419, 50444, 50951, 51376, 50447, 51220, 60333, 51405, 51365, 50454, 51487, 62107, 50902, 51466, 50459, 51487, 51128, 51601, 51487, 51000, 50419, 51487, 68684, 50956, 56329, 50423, 52128, 60548, 50861, 54829, 50425, 50973, 51878, 50426, 51487, 51319, 50428, 52128, 51297, 50430, 51487, 51319, 50431, 52128, 70301, 51487, 59068, 52128, 65219, 51487, 56819, 52128, 65246, 51487, 60362, 52128, 51297, 50445, 50876, 51432, 50446, 51487, 55686, 52128, 62849, 51487, 60258, 52128, 51128, 50453, 51487, 51128, 50454, 52128, 51297, 51809, 52046, 63532, 51197, 63532, 73290, 58468, 50931, 66495, 50861, 51697, 50428, 50876, 51128, 50430, 51001, 75116, 50956, 63801, 50997, 51022, 50900, 61389, 51001, 52179, 50441, 50876, 51254, 50445, 50861, 62749, 50999, 51397, 52046, 52167, 50449, 51197, 52782, 50452, 70741, 75152, 51524, 50459, 51001, 51128, 51601, 63227, 50956, 51832, 50416, 50900, 52134, 50419, 51001, 52167, 68225, 51824, 56207, 58832, 50951, 51480, 51799, 59977, 50294, 54861, 50433, 50861, 51022, 50436, 50906, 54618, 50439, 50902, 52782, 50445, 50931, 51775, 50899, 54088, 50446, 51050, 50360, 50842, 50302, 51022, 50449, 50871, 51550, 50452, 50906, 51297, 50455, 50902, 78584, 50877, 51411, 51799, 56308, 51120, 62609, 52177, 51027, 51128, 54569, 62021, 50871, 57252, 72535, 50430, 50997, 53998, 50899, 79106, 50871, 52134, 50441, 51001, 51803, 50442, 51085, 63684, 50280, 52179, 50445, 50956, 51862, 56222, 51252, 50454, 50876, 51319, 50458, 50951, 50908, 53069, 50861, 51852, 78740, 51432, 50430, 51247, 52946, 51050, 53306, 50435, 50956, 51851, 50440, 70795, 50445, 50877, 60258, 50931, 51297, 51601, 50902, 52731, 50429, 50906, 52482, 50430, 51234, 58483, 50899, 61450, 51050, 58961, 74206, 51297, 50441, 50906, 51252, 50445, 51001, 54146, 50449, 50902, 51252, 50997, 57598, 56415, 54088, 50451, 50899, 52462, 50453, 50951, 62662, 50931, 51297, 50461, 51062, 50971, 53069, 51081, 50982, 50906, 59519, 54569, 59519, 50871, 68334, 50421, 51062, 66806, 51081, 75583, 51062, 51000, 50427, 51081, 52782, 50428, 51062, 54854, 51062, 71372, 51081, 51128, 50436, 51062, 79743, 51081, 51128, 50443, 50999, 52514, 50447, 51081, 54344, 50459, 52052, 61211, 61627, 51214, 59170, 67655, 52519, 50447, 51026, 55002, 50456, 50997, 74695, 51851, 52177, 50877, 51277, 51027, 52731, 50424, 67695, 50997, 50955, 50899, 51297, 78630, 52134, 50429, 51085, 54861, 50430, 50876, 51233, 56014, 52188, 50437, 50956, 54731, 50311, 62971, 50902, 55103, 50899, 65397, 50956, 51022, 51001, 50974, 56222, 78454, 51120, 54211, 50456, 50902, 51542, 50457, 50899, 52441, 51601, 50989, 51550, 50416, 50877, 51297, 50422, 50877, 51129, 50989, 52462, 50430, 64304, 50431, 50899, 63684, 50310, 52101, 50900, 52782, 63174, 54060, 63808, 54848, 50439, 50899, 65748, 50997, 52063, 50861, 59821, 50446, 51027, 51697, 50447, 50877, 61634, 50861, 51884, 51026, 51737, 50456, 50997, 51123, 50899, 57070, 51809, 51197, 51824, 50422, 50951, 51542, 50423, 50861, 53161, 50429, 51001, 77429, 50314, 70709, 50999, 50959, 50436, 50877, 74034, 51081, 50955, 50906, 51376, 50443, 51001, 54731, 50323, 65397, 50999, 51775, 50877, 52378, 50455, 51001, 51269, 50876, 51022, 50461, 50951, 51419, 54594, 51961, 50419 ]
[ 0, 250, 15352, 30054, 11057, 1011, 625, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 41, 21979, 9590, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 51150, 51330, 50801, 54088, 54407, 51206, 56183, 50878, 50415, 50916, 51939, 50876, 51077, 51062, 51161, 50877, 51677, 50997, 51592, 50899, 52431, 50426, 51098, 51108, 75944, 50878, 56321, 54088, 50856, 55467, 51150, 51097, 54407, 50856, 56060, 51668, 62771, 52675, 61965, 50878, 62190, 52167, 50856, 50878, 54204, 51199, 50801, 54088, 54407, 50856, 50878, 63686, 50912, 50861, 74265, 77875, 50855, 53327, 51210, 51176, 52917, 51140, 51097, 75944, 68486, 75490, 50956, 59833, 50900, 65379, 50837, 51176, 63795, 50951, 55643, 50801, 54088, 50856, 74029, 50900, 52059, 79270, 51081, 51162, 50899, 51642, 68958, 51534, 54407, 50856, 50878, 51176, 51481, 50446, 51140, 51022, 50449, 51176, 50844, 75716, 58222, 61335, 51146, 63112, 51668, 66377, 52873, 61965, 61997, 51062, 52392, 71698, 58470, 50878, 50997, 51145, 50899, 51244, 72734, 53788, 50932, 54407, 50856, 50878, 60729, 55440, 51098, 51806, 75944, 50878, 56321, 54088, 50437, 50899, 51878, 57385, 51108, 54407, 50856, 50878, 50916, 51535, 50877, 51477, 50997, 52263, 50450, 51668, 63184, 52873, 61965, 50878, 54204, 51380, 50801, 54088, 54407, 50856, 60988, 51146, 76149, 66411, 50984, 50861, 69156, 51176, 54953, 51140, 51108, 75944, 68486, 51146, 66113, 50956, 61549, 53998, 51176, 54191, 50304, 51319, 50434, 51062, 50941, 56321, 54088, 50856, 55467, 51261, 51806, 54407, 50856, 50878, 51146, 51267, 50900, 51484, 50861, 51534, 50899, 51576, 51176, 51423, 50449, 51339, 51238, 50899, 55514, 51668, 63184, 52873, 61965, 50878, 73630, 62958, 51176, 50955, 62190, 52167, 50856, 50878, 51430, 51036, 71578, 50899, 51080, 67663, 50460, 50997, 51148, 53788, 51097, 54407, 50856, 50878, 60729, 55440, 51098, 51097, 75944, 50878, 56321, 54088, 57385, 51645, 54407, 50856, 50878, 50899, 53280, 50916, 51477, 50877, 51318, 50997, 52263, 50446, 51140, 54823, 51668, 61701, 52675, 61965, 50878, 54204, 51108, 54407, 50856, 60988, 50801, 51210, 51062, 50809, 51339, 69811, 73476, 71807, 61549, 59094, 51176, 52966, 51140, 51330, 75944, 50878, 50861, 77081, 57643, 53130, 50333, 50866, 77095, 52104, 50300, 51962, 50328, 60465, 51261, 52397, 54407, 50856, 50878, 50861, 52104, 50333, 50866, 50439, 50900, 53186, 50321, 50933, 51081, 51008, 50899, 52216, 50300, 51254, 60350, 78263, 55620, 51705, 62771, 52873, 61965, 77836, 51176, 50874, 51814, 50938, 50452, 51399, 66407, 50984, 76604, 50899, 51123, 50861, 52192, 50453, 51146, 51365, 62190, 52167, 50461, 51399, 50874, 50997, 54211, 51487, 51419, 50951, 51961, 50899, 52256, 50871, 52256, 50877, 56374, 53458, 51108, 50801, 54088, 54407, 50856, 50878, 50416, 51146, 76370, 51216, 50981, 75944, 50878, 56321, 54088, 50856, 55467, 51261, 50981, 54407, 50856, 50878, 50439, 77556, 65997, 50440, 51378, 75365, 57904, 51026, 74810, 51176, 54086, 51668, 61737, 52873, 61965, 77836, 50956, 58722, 51481, 50452, 50989, 52363, 50301, 53010, 62190, 52167, 50856, 50878, 77555, 50460, 66398, 51026, 66412, 51753, 53788, 51411, 50801, 54088, 54407, 50856, 63980, 51098, 56237, 66359, 50876, 52363, 50310, 51337, 50424, 51027, 60324, 51461, 51391, 75944, 50878, 55481, 54088, 50856, 50878, 50871, 54378, 50997, 50907, 50902, 51008, 50877, 54123, 51273, 50995, 54407, 50856, 62928, 51224, 51210, 50916, 51110, 50968, 55761, 75640, 51028, 51731, 50302, 51221, 50951, 54208, 51493, 66377, 52873, 61965, 50878, 66310, 51028, 52363, 50323, 51058, 54124, 51862, 50856, 74651, 50861, 51753, 53202, 62093, 54088, 54407, 51206, 51365, 50876, 52104, 50319, 58114, 51148, 50899, 52063, 51027, 53010, 50416, 50968, 51174, 53951, 52167, 50426, 51461, 51351, 50804, 52167, 75944, 50878, 55481, 54088, 50856, 60157, 69271, 77559, 70253, 50997, 54584, 51140, 50932, 54407, 50856, 50878, 50931, 51194, 50446, 51224, 54088, 50447, 50968, 53140, 51461, 61701, 54218, 56373, 75944, 50878, 55350, 54146, 57268, 52167, 50856, 50878, 50876, 51803, 50461, 79182, 72251, 50899, 51210, 53202, 50932, 54407, 50856, 50878, 51027, 51210, 60729, 55440, 51461, 50981, 75944, 50878, 56321, 54088, 70088, 72534, 64444, 50436, 51027, 56006, 51140, 50995, 54407, 50856, 50878, 50439, 50968, 53562, 51668, 51056, 50903, 52873, 61965, 50878, 50931, 50893, 54204, 60981, 54088, 54407, 50856, 50878, 50415, 50951, 51472, 53327, 64586, 51140, 50981, 75944, 50878, 56321, 54088, 50856, 50878, 50956, 63893, 52666, 50300, 50827, 50900, 55666, 51261, 50995, 54407, 50856, 50878, 50931, 51255, 50448, 50968, 54004, 51140, 51097, 50903, 52873, 61965, 61997, 50876, 51680, 58470, 50878, 54204, 51253, 54407, 50856, 50878, 50899, 51210, 50900, 55505, 50311, 51210, 51176, 51008, 60729, 55440, 51140, 50915, 75944, 50878, 56321, 54088, 50436, 75716, 50899, 64007, 50851, 51176, 54123, 51261, 51312, 54407, 50856, 50878, 50968, 51112, 50446, 51522, 56317, 50876, 60801, 51984, 63184, 52873, 61965, 77836, 73955, 60653, 61725, 54088, 54407, 50856, 50878, 51028, 51141, 50989, 51218, 50965, 51241, 50931, 51218, 51147, 51091, 51040, 51310, 50906, 51295, 53327, 64586, 51216, 50995, 75944, 50878, 56321, 54088, 50856, 55467, 51522, 51380, 54407, 50856, 66092, 51114, 50859, 50989, 59433, 50871, 78271, 51930, 58028, 52675, 61965, 50878, 50931, 51212, 58470, 50878, 51028, 76268, 50864, 60294, 51253, 50801, 54088, 54407, 50856, 63980, 75729, 72814, 50931, 60988, 70688, 50871, 57499, 52318, 51056, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 50899, 57481, 51273, 51380, 54407, 50856, 50878, 51028, 78067, 51753, 50968, 52363, 50312, 70381, 50916, 51376, 50448, 51040, 54626, 51098, 71547, 52873, 61965, 77836, 50899, 51862, 79507, 50902, 77429, 50312, 51210, 50871, 52782, 62190, 52167, 50856, 50878, 50876, 51353, 53788, 68108, 54088, 54407, 50856, 55440, 51098, 50915, 75944, 50878, 56321, 54088, 50856, 55467, 51150, 50915, 54407, 50856, 50878, 50439, 77925, 67514, 70138, 50440, 51086, 58271, 52078, 51447, 50903, 52873, 61965, 50878, 62190, 52167, 50856, 50878, 50956, 51142, 68274, 50906, 51365, 51086, 51254, 60294, 70013, 54088, 54407, 50856, 55440, 51522, 51312, 75944, 50878, 55481, 54088, 50856, 60157, 58529, 51086, 51008, 50956, 55467, 51868, 50943, 54407, 50856, 50878, 50906, 51033, 50442, 50876, 53783, 69195, 50446, 51224, 51210, 50447, 50861, 54823, 51668, 63184, 52873, 61965, 50878, 50906, 51400, 54124, 51862, 50856, 65264, 50876, 51077, 53788, 68108, 54088, 54407, 51206, 59121, 50878, 50415, 57810, 50899, 51210, 65471, 50997, 54088, 50426, 51098, 51333, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 70088, 57472, 69271, 50997, 54584, 51150, 50932, 54407, 50856, 50878, 50439, 50906, 51238, 50448, 50861, 73792, 51668, 61701, 52675, 61965, 77836, 50906, 51377, 62190, 52167, 50856, 50878, 50902, 51675, 54204, 68108, 54088, 54407, 50856, 50878, 50899, 51142, 50900, 51365, 63207, 50415, 51176, 57818, 51140, 50915, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 50861, 67843, 50851, 50899, 51604, 50300, 52781, 51493, 50932, 54407, 50856, 50878, 50440, 50906, 50901, 50448, 50861, 60678, 51522, 63184, 52873, 61965, 77836, 50906, 51043, 62190, 52167, 50856, 50878, 50965, 61780, 51040, 71414, 70455, 50810, 70806, 54389, 51373, 57075, 63980, 51216, 54252, 50856, 50878, 50424, 50916, 51233, 50965, 51178, 51028, 51194, 51027, 55640, 52318, 50995, 75944, 50878, 56321, 54088, 50437, 51176, 55379 ]
[ 0, 250, 19448, 8, 5679, 26709, 15855, 2125, 13, 21979, 8669, 6, 278, 11, 83, 3694, 19, 10, 2635, 226, 22740, 20889, 8, 132, 73, 306, 86, 6543, 4, 20, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 3676, 6, 381, 406, 6, 1918, 6, 8, 381, 6, 2351, 10, 32625, 8, 11653, 5466, 11, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50621, 59364, 50415, 60266, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 51057, 59364, 50415, 51131, 50936, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 50437, 51317, 50883, 51057, 59364, 50960, 56191, 50998, 53113, 50970, 54007, 50929, 52422, 59364, 50947, 55104, 51064, 61426, 51032, 59185, 51064, 53695, 50947, 53660, 65611, 51057, 65009, 56406, 50415, 51316, 50936, 50419, 51316, 53336, 51788, 52247, 52012, 55224, 68433, 56406, 55784, 51057, 65009, 50415, 56488, 50998, 50936, 50416, 51292, 60647, 51292, 63447, 65009, 67911, 50998, 55104, 51067, 52686, 51032, 53660, 70442, 51057, 65009, 67911, 62049, 50415, 51032, 59630, 51067, 53113, 51032, 54007, 51076, 52422, 65009, 51032, 59485, 51067, 61146, 50986, 50936, 50998, 50936, 51032, 56865, 51076, 52686, 50947, 53660, 70442, 51057, 79655, 51846, 50896, 56479, 56406, 51076, 52774, 56406, 51076, 63447, 79655, 51846, 50896, 56479, 50429, 51064, 52686, 51076, 53660, 51316, 50821, 51057, 65009, 68433, 50415, 56406, 50947, 60647, 70601, 58308, 50947, 53765, 52012, 55224, 68433, 50433, 56406, 50947, 50936, 51057, 50621, 59364, 50415, 60266, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 51057, 59364, 50415, 51131, 50936, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 50437, 51317, 50883, 51057, 59364, 50960, 56191, 50998, 53113, 50970, 54007, 50929, 52422, 59364, 50947, 55104, 51064, 61426, 51032, 59185, 51064, 53695, 50947, 53660, 65611, 51057, 65009, 56406, 50415, 51316, 50936, 50419, 51316, 53336, 51788, 52247, 52012, 55224, 68433, 56406, 55784, 51057, 65009, 50415, 56488, 50998, 50936, 50416, 51292, 60647, 51292, 63447, 65009, 67911, 50998, 55104, 51067, 52686, 51032, 53660, 70442, 51057, 65009, 67911, 62049, 50415, 51032, 59630, 51067, 53113, 51032, 54007, 51076, 52422, 65009, 51032, 59485, 51067, 61146, 50986, 50936, 50998, 50936, 51032, 56865, 51076, 52686, 50947, 53660, 70442, 51057, 79655, 51846, 50896, 56479, 56406, 51076, 52774, 56406, 51076, 63447, 79655, 51846, 50896, 56479, 50429, 51064, 52686, 51076, 53660, 51316, 50821, 51057, 65009, 68433, 50415, 56406, 50947, 60647, 70601, 58308, 50947, 53765, 52012, 55224, 68433, 50433, 56406, 50947, 50936, 51057, 50621, 62867, 50415, 61446, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 50427, 61446, 79186, 50429, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 51317, 53113, 50960, 54007, 50998, 52422, 59364, 50970, 59485, 50929, 61146, 50970, 56865, 50998, 52686, 50970, 53660, 60405, 51057, 65009, 50415, 79655, 51131, 50936, 50416, 51317, 50936, 50998, 59723, 68433, 56406, 75563, 65009, 50427, 79655, 51131, 50936, 50428, 51317, 50936, 50998, 75101, 60405, 50431, 51316, 52975, 51788, 50806, 51057, 62867, 50415, 60266, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 51131, 63220, 50986, 57850, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 50998, 53113, 50970, 54007, 50929, 52422, 65009, 50970, 59485, 50929, 61146, 50970, 56865, 50621, 50998, 54053, 50621, 50960, 53660, 50620, 51317, 62256, 51317, 50883, 51057, 50620, 51444, 51274, 50960, 50936, 50419, 50970, 53336, 51067, 50936, 50425, 51317, 53087, 50960, 51055, 50432, 62318, 51057, 50621, 62867, 50415, 61446, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 50427, 61446, 79186, 50429, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 51317, 53113, 50960, 54007, 50998, 52422, 59364, 50970, 59485, 50929, 61146, 50970, 56865, 50998, 52686, 50970, 53660, 60405, 51057, 65009, 50415, 79655, 51131, 50936, 50416, 51317, 50936, 50998, 59723, 68433, 56406, 75563, 65009, 50427, 79655, 51131, 50936, 50428, 51317, 50936, 50998, 75101, 60405, 50431, 51316, 52975, 51788, 50806, 51057, 62867, 50415, 60266, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 51131, 63220, 50986, 57850, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 50998, 53113, 50970, 54007, 50929, 52422, 65009, 50970, 59485, 50929, 61146, 50970, 56865, 50621, 50998, 54053, 50621, 50960, 53660, 50620, 51317, 62256, 51317, 50883, 51057, 50620, 51444, 51274, 50960, 50936, 50419, 50970, 53336, 58870, 50425, 51317, 53087, 50960, 55224, 62318, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 15352, 30054, 8, 12298, 5175, 8, 15855, 1619, 2214, 11, 274, 538, 6, 4246, 13305, 6, 18558, 6, 17035, 873, 2401, 6, 38668, 22052, 6, 8, 32909, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1812, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 163, 428, 6, 274, 6, 230, 6, 163, 428, 6, 230, 8165, 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 ]	[ 57448, 50799, 52060, 50373, 56448, 50373, 54936, 50373, 54936, 59834, 52060, 50372, 56448, 50372, 54936, 50373, 54936, 55470, 51553, 50373, 54936, 50373, 56448, 50373, 56448, 56789, 51456, 50369, 52388, 63738, 63738, 53670, 51456, 50373, 53823, 50373, 54936, 50373, 54936, 59380, 51456, 50373, 53823, 50373, 54936, 50373, 54936, 61285, 51224, 62843, 65279, 65279, 53528, 51224, 69415, 50369, 52388, 67744, 52763, 51224, 62843, 65279, 65279, 54781, 51224, 72128, 50373, 53823, 50372, 53823, 55735, 51224, 72128, 50373, 53823, 50373, 53823, 56551, 51224, 50374, 53120, 50374, 53823, 50374, 53823, 50886, 53596, 51294, 54099, 51535, 52123, 51535, 51783, 51535, 51722, 51535, 51612, 51535, 52547, 50827, 55803, 54352, 75327, 67943, 52471, 51550, 56141, 67735, 52547, 51128, 55803, 51128, 56644, 50423, 52471, 51550, 56141, 65437, 52547, 51126, 55803, 53529, 50338, 51592, 50903, 53021, 65005, 52471, 51252, 56141, 51252, 50431, 52547, 51128, 55803, 57378, 51096, 52098, 50333, 53588, 50801, 51079, 56644, 50434, 52471, 51123, 56141, 51123, 50437, 52547, 51123, 55803, 58604, 51096, 51204, 51146, 52528, 76677, 50905, 50440, 52471, 50984, 56141, 50984, 50442, 52547, 51126, 55803, 60825, 51081, 53866, 76677, 50972, 50445, 52471, 50984, 56141, 50984, 50448, 52547, 51269, 55803, 51269, 51955, 53021, 71364, 52471, 51123, 56141, 51123, 50454, 52547, 51126, 55803, 60325, 51096, 58493, 80024, 50457, 52471, 51210, 56141, 51210, 60506, 65922, 52547, 51022, 55803, 51022, 53596, 51134, 52123, 51535, 51783, 51535, 51722, 51535, 76677, 50905, 50416, 52471, 51210, 56141, 51210, 50419, 52547, 50827, 55803, 50827, 51039, 60147, 53034, 50907, 54571, 76785, 52009, 51006, 54155, 51006, 51768, 53021, 79614, 53034, 54861, 54571, 54861, 50432, 51096, 66699, 51079, 56644, 50437, 52547, 51432, 55803, 67458, 51096, 73841, 53284, 77046, 50931, 51353, 50444, 53034, 51697, 54571, 51697, 76677, 64180, 51081, 52062, 50449, 52009, 51297, 54155, 51297, 51955, 53021, 50905, 50452, 51716, 60326, 53372, 60326, 50456, 51096, 59375, 51592, 50801, 80024, 50461, 52072, 51737, 53909, 51737, 53596, 51241, 52123, 51535, 51783, 51535, 51722, 51535, 51612, 51535, 76677, 55126, 51716, 51470, 53372, 51470, 56644, 50425, 52009, 52731, 54155, 52731, 51768, 53021, 79614, 53034, 51697, 54571, 75506, 51096, 58493, 56975, 54938, 51096, 51241, 52547, 51074, 55803, 72873, 53284, 50905, 50443, 52471, 51166, 56141, 62523, 52123, 72923, 50449, 53051, 53313, 60541, 53313, 50450, 51783, 77461, 53021, 54509, 51096, 50937, 51722, 50905, 53372, 53024, 62952, 53024, 50801, 80024, 60506, 50844, 53596, 51134, 54099, 51535, 52123, 51535, 51783, 51535, 51722, 51535, 53909, 63309, 59680, 63309, 76677, 75558, 50972, 51768, 53021, 54342, 51096, 61467, 56975, 54938, 51096, 67839, 55056, 55103, 52123, 57791, 50907, 71330, 51783, 60344, 50844, 51892, 51647, 54622, 51096, 50866, 51722, 56993, 50844, 69494, 51356, 51096, 51351, 54099, 51448, 52123, 51448, 51783, 51448, 51722, 51448, 50801, 55559, 75558, 55191, 53124, 56651, 53021, 54342, 51096, 66699, 56975, 54938, 51509, 51356, 50927, 51191, 52123, 50978, 51783, 50978, 51584, 50978, 51612, 65220, 53284, 55103, 61789, 54265, 55437, 52123, 50972, 52182, 50942, 50903, 53021, 67763, 53124, 54232, 50927, 50937, 52123, 51058, 51783, 51058, 51584, 51058, 51612, 70263, 80024, 60506, 50844, 69494, 51941, 50953, 51351, 55699, 51535, 52123, 51535, 51555, 51535, 51722, 51535, 76677, 75558, 55191, 51081, 51283, 51146, 51283, 50931, 52263, 50903, 53021, 68751, 53124, 53705, 50953, 66699, 56975, 54938, 50953, 69561, 53284, 55103, 55699, 60745, 53284, 55437, 51431, 50948, 55699, 50981, 52123, 50981, 51555, 50981, 51722, 50981, 52182, 66340, 50863, 50931, 52666, 50328, 65485, 53021, 67763, 51081, 51954, 50330, 66445, 60004, 51485, 50948, 50953, 61467, 80024, 67719, 51661, 51105, 51351, 54099, 51448, 52623, 51448, 51555, 51448, 51722, 51448, 51081, 52140, 50931, 52916, 76677, 78556, 50951, 52431, 51039, 55191, 53124, 62421, 53021, 54342, 51105, 55675, 56975, 54938, 51485, 51356, 51096, 51091, 54099, 50978, 52123, 50978, 51783, 50978, 51722, 65220, 53284, 55103, 54099, 66223, 53284, 55437, 52123, 77461, 53021, 71364, 52182, 57168, 53124, 54232, 51096, 50987, 51783, 66223, 80024, 51621, 50844, 63355, 51941, 50945, 51241, 57330, 51448, 52623, 51448, 51783, 51448, 51584, 51448, 51567, 51448, 76677, 75558, 55191, 53124, 63088, 53021, 54342, 50945, 60175, 51079, 56644, 53357, 51241, 57330, 51448, 52679, 51448, 51783, 51448, 51584, 51448, 76677, 55103, 76677, 55437, 52334, 51227, 53124, 63088, 53021, 54509, 50945, 66699, 80024, 75315, 51661, 51105, 51241, 54099, 51448, 52623, 51448, 51555, 51448, 76677, 75558, 55191, 53124, 63088, 53021, 54342, 51105, 61467, 56975, 54938, 51898, 51661, 50945, 51241, 52679, 50978, 51783, 50978, 51584, 65220, 53284, 55103, 57330, 60745, 53284, 55437, 52679, 50972, 50903, 53021, 71364, 52182, 58261, 53124, 54481, 50945, 50866, 57330, 51058, 52679, 51058, 51783, 51058, 51584, 70263, 80024, 51621, 50844, 69494, 51661, 51096, 51241, 52123, 50978, 51783, 50978, 51722, 50978, 51612, 65220, 53284, 55126, 54099, 57948, 55191, 52123, 77461, 53021, 68751, 53124, 54216, 51096, 50866, 51783, 66223, 56975, 54938, 51431, 51173, 51105, 51241, 54099, 50978, 52623, 50978, 51555, 65220, 53284, 55103, 66724, 72923, 50447, 51485, 55260, 54099, 50974, 52315, 60629, 53021, 54509, 51641, 50893, 51105, 50977, 52623, 66223, 80024, 51621, 50844, 64934, 51661, 51096, 51204, 52123, 50978, 51783, 50978, 51722, 65220, 53284, 55126, 54099, 57948, 55191, 52123, 50974, 53124, 60629, 53021, 54342, 51096, 50977, 51783, 66223, 56975, 54938, 51431, 51661, 50945, 51091, 52623, 51448, 51783, 51448, 51584, 51448, 51567, 51448, 76677, 55103, 76677, 55437, 52182, 62156, 53021, 67763, 53124, 54199, 50945, 60175, 80024, 60506, 65922, 53909, 51166, 59680, 51166, 69494, 52536, 51096, 51241, 52123, 51535, 51783, 51535, 51722, 51535, 76677, 50905, 50419, 53051, 55789, 60541, 55789, 50420, 52052, 52783, 56644, 50423, 51339, 52980, 50425, 52471, 51470, 56141, 65933, 51146, 51080, 50903, 53021, 68751, 53124, 67318, 52547, 52782, 55803, 52782, 50432, 51096, 52098, 50326, 51637, 50801, 51079, 56644, 50437, 53034, 53010, 54571, 53010, 50438, 51096, 51241, 50931, 51108, 76677, 50905, 50443, 52009, 51387, 54155, 64714, 50902, 51481, 76677, 55437, 51716, 51387, 53372, 78290, 52431, 50903, 53021, 50905, 50455, 52009, 53010, 54155, 53010, 50456, 51096, 62980, 52980, 50801, 80024, 69494, 51356, 51096, 51191, 54099, 50978, 52123, 50978, 51783, 50978, 51722, 50978, 51612, 50978, 52072, 52988, 53909, 52988, 50931, 52263, 76677, 75558, 55191, 52123, 50978, 53124, 60629, 53021, 54342, 51096, 50938, 51783, 79198, 51079, 56644, 53758, 51294, 61789, 50978, 52123, 50978, 51783, 50978, 51584, 65220, 53284, 77046, 51509, 51661, 51180, 55437, 52123, 50978, 53124, 50942, 50903, 53021, 54509, 50927, 50866, 51783, 79198, 80024, 69494, 51941, 50953, 51191, 52123, 51535, 51555, 51535, 51722, 51535, 51612, 51535, 76677, 75558, 55191, 53124, 50854, 50931, 52386, 50326, 51954, 50330, 65485, 53021, 54342, 50953, 68543, 51258, 51081, 50863, 51146, 55170, 51079, 56644, 50436, 50999, 52511, 50328, 78063, 54861, 55208, 67839, 53284, 55103, 55699, 51644 ]
[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 8, 9590, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 3722, 5466, 4, 20, 33215, 16739, 9, 230, 406, 6, 274, 119, 6, 230, 406, 6, 274, 119, 6, 8, 163, 43531, 3639, 7, 63, 25306, 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 ]	[ 57448, 57448, 51234, 50905, 50419, 50625, 60284, 78868, 50625, 61104, 50805, 50431, 50625, 50432, 51050, 50838, 50436, 50625, 64574, 50795, 50442, 50625, 50444, 51050, 61554, 50625, 50450, 51040, 60976, 50625, 50456, 51050, 70634, 50625, 54662, 50905, 50416, 50625, 60284, 75026, 50625, 61104, 74083, 50625, 50432, 51050, 70488, 50625, 50438, 50625, 50956, 53969, 50625, 51050, 50892, 50449, 50625, 50450, 51040, 68927, 50625, 50456, 51050, 77197, 50625, 54662, 50845, 50418, 50625, 60284, 50905, 50424, 50625, 61104, 63707, 54253, 50625, 50432, 51050, 62244, 53505, 50625, 64574, 77147, 51016, 50440, 50625, 50444, 51050, 74307, 50625, 50450, 51040, 70792, 50625, 50456, 51050, 51644, 50329, 74949, 50625, 57448, 51197, 50805, 51339, 51496, 56363, 55035, 50956, 54100, 50989, 51853, 50334, 54993, 50906, 51458, 50331, 68249, 50989, 52985, 50956, 54509, 51040, 50972, 53975, 55689, 50956, 58069, 50989, 52858, 50331, 51736, 51339, 50893, 50437, 50622, 51001, 66744, 50622, 50931, 51318, 50439, 50622, 51405, 54590, 50325, 51961, 51062, 51542, 50440, 50622, 52128, 51108, 50441, 50621, 50442, 50621, 50443, 50621, 50444, 50621, 51787, 51166, 50445, 50621, 50446, 50620, 50447, 50620, 50448, 50620, 50449, 50620, 50450, 50620, 50999, 52511, 50328, 52104, 50333, 50972, 50451, 50619, 50456, 51405, 50974, 57448, 50997, 51644, 50326, 52136, 51399, 53280, 51339, 52136, 61683, 50972, 53645, 53052, 50997, 53264, 51176, 55945, 51040, 51333, 56415, 59111, 51176, 50974, 54955, 52864, 50997, 50905, 50425, 50625, 61104, 51853, 50326, 54259, 50906, 52104, 50328, 53913, 51028, 51644, 50331, 57997, 51399, 60779, 51062, 57092, 51081, 51074, 53975, 51644, 50329, 51466, 50419, 50625, 69724, 51697, 56546, 64809, 51405, 52718, 50900, 52511, 50308, 61527, 53164, 50323, 52845, 50328, 51333, 58365, 53562, 50906, 56711, 50876, 74191, 50974, 53975, 60778, 55036, 50322, 53164, 50328, 51097, 58097, 55752, 50989, 51697, 63931, 51568, 50329, 51166, 50437, 50625, 50438, 50625, 51050, 73276, 53164, 50328, 55036, 50331, 52397, 50439, 50625, 50440, 50625, 50441, 50624, 50442, 50624, 50443, 50624, 50444, 50624, 50900, 51074, 50445, 50623, 50446, 50623, 50447, 50623, 50448, 50623, 50449, 50623, 50450, 50620, 50956, 69173, 51114, 51712, 50334, 50972, 50461, 50620, 57448, 51234, 64369, 53588, 51081, 53142, 51399, 55490, 51339, 53142, 60284, 54335, 51040, 53308, 51050, 54137, 50956, 53946, 50369, 53120, 60825, 51050, 56993, 50372, 53120, 59038, 51040, 56751, 54592, 50576, 56838, 51050, 50974, 51326, 50855, 54662, 50905, 51261, 51364, 51836, 51148, 52714, 51922, 51784, 51671, 53453, 51671, 55465, 51671, 55465, 51671, 50798, 51642, 52356, 50984, 51186, 55002, 60284, 54265, 58632, 51040, 50901, 52830, 50845, 51301, 50873, 56617, 53946, 55601, 55238, 51050, 50892, 51261, 51006, 51887, 50845, 51154, 50873, 54720, 55732, 57284, 50912, 51186, 52782, 64574, 51644, 50305, 60367, 53177, 50314, 51013, 51261, 51318, 51638, 51115, 51165, 51295, 53181, 51295, 52032, 68591, 53156, 50971, 51186, 55002, 50444, 51050, 57154, 54823, 51040, 57791, 51000, 53861, 50456, 51050, 71277, 50911, 51261, 51006, 51794, 50901, 51488, 50873, 53100, 50873, 52541, 56777, 71165, 51186, 52782, 55881, 61480, 51218, 50989, 51310, 50906, 50983, 50931, 51761, 51560, 51310, 51154, 51189, 51201, 50983, 51743, 51141, 53780, 51445, 52186, 51671, 52549, 51671, 51802, 51449, 53699, 51671, 55455, 51748, 50798, 53701, 50584, 51297, 51105, 55002, 56363, 54042, 54689, 50956, 56751, 51000, 53861, 50432, 50989, 51853, 50322, 50806, 51560, 51254, 51491, 50845, 51600, 50901, 52332, 55998, 71165, 51105, 54071, 63808, 64813, 69246, 64609, 51295, 51560, 51253, 51426, 51742, 51395, 51452, 52402, 51790, 50798, 59029, 50971, 51105, 54344, 50444, 50989, 55559, 60258, 50956, 50905, 52318, 77867, 50864, 52066, 51228, 54344, 50456, 51040, 60386, 51851, 53673, 53975, 50873, 51461, 51310, 52032, 51047, 52173, 51447, 53101, 51314, 55455, 51447, 55705, 61619, 53156, 50912, 50964, 55002, 58097, 51079, 53842, 71241, 52858, 50319, 50806, 51405, 50845, 51426, 50901, 51395, 50873, 52402, 53946, 56914, 55100, 50906, 59879, 52370, 50333, 50845, 51461, 50978, 51154, 50849, 65979, 51743, 51654, 51126, 53673, 50964, 52731, 63451, 51442, 50324, 50795, 52128, 50974, 57411, 51295, 51375, 50901, 51629, 50849, 52255, 50849, 51836, 51148, 52173, 51490, 51802, 51314, 54668, 51314, 56848, 74744, 56914, 50971, 52936, 53577, 61614, 76724, 51936, 50334, 50892, 51491, 50845, 51600, 50901, 52332, 54042, 55256, 50877, 56645, 53194, 50333, 50901, 51154, 50873, 51201, 50805, 51743, 53888, 50971, 52066, 50456, 51001, 50795, 51405, 50974, 57411, 51006, 51426, 50974, 51395, 50905, 52402, 52839, 50904, 52936, 52782, 55435, 64674, 51295, 50906, 50983, 51028, 51637, 50931, 51295, 52157, 51310, 51154, 53651, 51201, 53259, 51743, 53259, 53151, 51244, 52186, 51314, 52549, 51447, 53157, 51447, 55826, 74260, 51000, 52470, 51096, 55002, 61683, 50873, 53842, 53645, 56751, 51126, 53861, 71288, 50845, 52157, 62977, 51128, 52470, 51096, 52731, 50438, 51176, 50805, 51522, 51295, 53916, 50981, 52926, 51490, 52549, 51447, 53699, 51490, 53157, 74744, 50984, 53884, 51325, 53577, 71289, 51330, 52470, 56415, 50838, 51836, 57604, 51174, 53861, 50456, 51176, 50892, 51522, 53840, 51128, 53673, 51325, 52192, 54955, 50893, 51098, 51047, 52032, 51313, 52278, 51449, 52186, 51671, 55465, 51748, 53157, 51671, 50798, 52482, 53861, 50953, 52147, 56363, 54042, 55070, 51040, 51712, 50326, 50923, 51638, 50901, 51165, 50873, 53181, 53946, 61349, 63931, 65348, 50923, 51299, 50845, 77854, 52133, 55732, 51319, 53673, 50438, 51028, 51514, 50331, 50879, 54128, 51189, 51426, 50845, 51395, 50901, 52402, 55998, 57162, 51142, 51443, 53280, 50444, 51399, 50893, 51794, 50905, 51488, 50892, 53100, 52839, 59038, 51062, 50911, 51299, 50845, 77854, 52133, 53946, 53156, 55346, 51081, 50806, 54128, 50917, 51638, 50905, 51165, 50845, 53181, 52839, 50971, 51443, 51824, 53975, 58681, 51477, 51114, 51115, 51081, 51141, 51461, 51295, 51794, 51318, 51488, 51115, 53100, 51115, 53780, 51244, 54219, 51490, 52186, 51449, 52915, 51671, 54670, 73506, 52482, 50791, 50827, 50964, 53577, 56440, 52201, 56323, 50989, 55284, 59251, 55238, 50906, 50805, 51405, 50806, 51461, 50978, 51426, 50892, 51395, 50845, 52402, 55998, 51126, 53884, 50964, 52731, 55203, 56472, 51283, 50968, 51218, 50951, 51189, 51081, 50983, 51461, 51295, 51299, 51115, 51093, 51218, 52133, 51218, 51946, 51080, 52278, 74260, 51166, 53884, 50964, 53577, 65827, 56655, 51297, 56222, 53946, 62441, 50456, 50906, 71673, 50923, 51461, 50978, 51638, 50901, 51165, 50873, 53181, 55732, 51126, 53861, 50964, 52731, 53975, 58681, 51477, 51001, 51318, 51114, 51318, 51081, 51141, 51461, 51295, 51299, 51115, 51093, 51295, 52133, 51295, 53780, 51080, 54219, 51490, 52186, 51314, 52915, 51671, 53699, 51671, 50798, 53156, 50941, 50964, 53577, 58097, 52808, 57203, 50989, 54371, 51000, 51892, 63931, 51442, 50331, 50879, 51461, 51058, 51426, 50845, 51395, 50901, 52402, 55998, 70196, 50971, 50964, 52782, 63451, 56472, 51283, 51001, 51283, 50931, 51218, 50999, 50983, 57411, 51115, 51794, 51115, 51488, 51295, 53100, 51218, 52196, 51080, 52714, 51490, 52355, 74260, 50907, 53861, 52936, 53577, 61614, 54042, 54823 ]
[ 0, 250, 765, 5175, 15229, 19, 15855, 16882, 6, 4246, 10, 3551, 139, 8, 6755, 12547, 7513, 30, 10, 486, 118, 9877, 483, 6, 21711, 102, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 2933, 6, 23975, 6, 8, 25306, 5466, 4, 20, 33215, 16739, 9, 3676, 6, 230, 6, 3676, 6, 8, 230, 401, 3639, 7, 63, 15352, 30054, 8, 5679, 26709, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50799, 53428, 51452, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53299, 53398, 52639, 52521, 50813, 54231, 50813, 53554, 50813, 54807, 50820, 53448, 52810, 53448, 52919, 50438, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 55261, 56060, 54271, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 55388, 51025, 77435, 50813, 54231, 50813, 53554, 50813, 51093, 52644, 53448, 53299, 54271, 58193, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 52810, 55261, 59290, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 53428, 57554, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 53048, 51025, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 54807, 51095, 50420, 53698, 72038, 52521, 50813, 54231, 50813, 54388, 50813, 53398, 50846, 57889, 52810, 53398, 53442, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 52919, 50450, 52521, 50813, 54231, 50813, 54388, 50813, 51107, 50813, 57889, 53211, 51266, 50840, 77435, 50813, 54231, 50813, 54388, 50813, 51093, 50840, 57889, 53299, 51266, 53939, 52521, 50813, 54231, 50813, 54388, 50813, 51357, 50880, 57889, 52810, 51266, 54459, 52521, 50813, 54231, 50813, 54388, 50813, 71315, 57889, 53524, 51266, 53688, 52521, 50813, 54231, 50813, 54388, 50813, 51113, 50840, 57889, 53211, 51266, 50840, 50799, 53428, 51452, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53299, 53398, 56382, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 57889, 56799, 56311, 52919, 50438, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 55261, 56060, 54271, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 55388, 51025, 77435, 50813, 54231, 50813, 53554, 50813, 51093, 52644, 53448, 53299, 54271, 58193, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 52810, 55261, 59290, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 53428, 57554, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 53048, 51025, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53698, 51134, 54807, 55440, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 53398, 56799, 57889, 52919, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52800, 52521, 50813, 54231, 50813, 54388, 50813, 51107, 50813, 57889, 53211, 51266, 50840, 77435, 50813, 54231, 50813, 54388, 50813, 51093, 50840, 57889, 53299, 51266, 53939, 52521, 50813, 54231, 50813, 54388, 50813, 51357, 50880, 57889, 52810, 51266, 54459, 52521, 50813, 54231, 50813, 54388, 50813, 71315, 57889, 53524, 51266, 53688, 52521, 50813, 54231, 50813, 54388, 50813, 51113, 50840, 57889, 53211, 51266, 50840, 50799, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 51093, 51452, 57889, 53299, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 53698, 59290, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 53517, 69204, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 52869, 51346, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 55299, 56060, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53211, 55299, 51346, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53048, 55440, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 53048, 51346, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 53446, 56060, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53211, 53446, 51204, 77435, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 56311, 51043, 53448, 71266, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53398, 51043, 53011, 69397, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53448, 51043, 54648, 65029, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53398, 51043, 53011, 51043, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 56311, 50813, 53448, 50813, 53448, 51043, 50420, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 56311, 50813, 53448, 50813, 53448, 69400, 53050, 68499, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 50813, 53941, 64949, 53048, 51043, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 50813, 53941, 51095, 50799, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 54507, 53446, 50878, 65203, 51266, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 52810, 53698, 51025, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53524, 53517, 51134, 65203, 51266, 52843, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53211, 65203, 78155, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53299, 53446, 50878, 65203, 51266, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 52810, 52869, 51346, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53524, 55299, 50878, 65203, 51266, 52843, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53211, 55299, 51346, 65203, 78155, 77435, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 51095, 50420, 53048, 50878, 65203, 51266, 52654, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 69400, 53048, 51346, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 55030, 50813, 53155, 74971, 53446, 50878, 65203, 51266, 52843, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 55030, 50813, 53155, 69780, 53446, 51134, 65203, 78155, 77435, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 56311, 50813, 53448, 54507, 65203, 51201, 52654, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53398, 50813, 53011, 52810, 65203, 51201, 52729, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53448, 50813, 54648, 53524, 65203, 51201, 52843, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53398, 50813, 53011, 53211, 65203, 72214, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 56311, 50813, 53448, 53299, 53446, 50878, 65203, 51201, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 55030, 50813, 53155, 53810, 53050, 51141, 65203, 51201, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 72214, 57889, 50813, 53941, 54989, 65203, 51201, 52843, 53048, 51043, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 72214, 57889, 50813, 53941, 54647, 65203, 72214, 50799, 53446, 51043, 52130, 50813, 53304, 50813, 53485, 69685, 51452, 57889, 51801, 50426, 53698, 50878, 52130, 50813, 53304, 50813, 53485, 52810, 53446, 67082, 52130, 50813, 53304, 50813, 53485, 52800, 53048, 50878, 52130, 50813, 53304, 50813, 53485, 53211, 53698, 51025, 77630, 50813, 53304, 50813, 53485, 50813, 51491, 51452, 50420, 53517, 72038, 52130, 50813, 53304, 50813, 53485, 52781, 52130, 50813, 53304, 50813, 53485, 52800, 53517, 50878, 52130 ]
[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 2342, 4467, 6, 21072, 6, 6755, 12547, 6, 8, 18558, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 132, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 11956, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 406, 6, 274, 6, 1918, 6, 272, 119, 6, 8, 230, 6, 2351, 10, 32625, 8, 5679, 26709, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 51057, 50624, 54258, 51101, 50423, 52807, 62118, 52257, 50866, 50799, 57117, 50866, 52327, 75504, 53369, 54278, 51614, 53961, 51515, 54014, 51773, 51115, 50456, 52257, 50866, 73471, 50866, 52327, 50866, 52806, 75504, 51515, 54278, 51440, 53961, 51607, 51047, 78940, 50866, 52603, 55085, 52557, 50866, 52327, 54278, 52603, 50866, 52027, 59102, 54258, 54014, 52603, 51134, 51434, 51115, 50456, 51773, 50866, 75235, 50866, 51669, 64965, 52557, 54278, 51515, 50866, 51614, 59102, 51773, 66744, 52557, 57554, 57117, 58761, 51773, 54655, 51607, 50813, 50799, 55677, 50866, 51669, 51115, 51699, 51151, 51638, 51151, 51426, 51151, 51105, 75504, 52557, 54278, 52027, 53961, 51434, 54014, 52027, 51101, 51607, 51101, 50447, 51434, 51101, 52603, 62034, 51515, 50866, 51669, 50866, 51105, 50866, 71862, 50866, 51607, 51115, 51887, 51151, 51638, 51151, 51251, 51151, 50927, 75504, 52557, 54278, 51614, 53961, 51515, 67082, 51773, 69204, 52557, 58761, 51773, 54655, 51515, 50813, 50799, 54437, 50866, 52027, 51025, 51699, 51151, 51299, 51151, 51426, 51151, 50964, 75504, 52769, 54278, 51515, 50866, 51774, 59102, 51773, 54014, 51669, 50866, 51434, 60182, 52603, 57554, 51774, 58761, 52327, 50866, 50964, 54655, 51105, 50813, 75235, 50866, 51607, 51025, 51699, 51397, 51638, 51397, 51426, 51397, 50945, 71215, 51774, 54278, 51434, 50866, 52027, 59102, 51773, 54014, 53369, 51714, 51440, 51714, 51607, 51714, 51883, 51151, 51299, 51151, 77681, 50945, 51714, 51038, 76759, 51422, 51774, 51422, 53124, 55085, 53124, 54278, 53124, 53961, 51596, 54014, 51596, 51115, 67547, 51422, 51515, 51422, 51440, 51422, 51752, 55085, 51752, 54278, 51752, 53961, 51606, 54014, 51752, 51115, 78940, 51422, 51614, 51422, 52315, 55085, 52315, 54278, 52315, 53961, 51752, 54014, 51596, 51134, 50456, 52315, 50866, 76759, 51422, 51614, 51422, 51515, 51422, 53320, 55085, 53320, 54278, 53320, 53961, 51565, 54014, 51565, 51134, 50456, 51606, 50866, 50799, 55677, 51422, 52557, 51422, 51614, 51422, 52182, 55085, 52182, 54278, 52182, 53961, 51606, 54014, 51606, 51134, 50456, 52161, 50866, 76759, 51422, 51515, 51422, 51596, 51422, 66629, 51422, 52027, 51422, 51434, 51422, 51596, 55085, 51752, 54278, 51752, 53961, 52315, 54014, 51596, 55040, 51752, 58761, 52315, 50866, 75235, 51115, 52557, 51115, 52182, 55085, 53124, 51452, 50438, 53369, 51115, 50439, 52027, 51115, 50440, 51607, 50810, 51440, 70703, 51669, 55726, 51607, 53211, 51773, 54655, 51434, 50813, 50799, 57117, 50866, 51515, 51422, 53124, 50866, 51638, 51151, 51251, 51151, 77681, 51096, 71382, 64965, 53369, 50866, 53124, 54278, 52557, 50866, 53124, 53961, 51614, 50866, 51596, 54014, 51515, 51115, 51596, 51115, 50843, 59957, 51270, 52800, 51236, 54752, 51096, 52784, 50866, 51270, 61219, 50964, 50813, 71862, 50866, 51752, 50866, 51883, 51151, 51299, 51151, 77681, 50927, 59401, 64965, 52806, 50866, 51752, 54278, 51614, 51025, 51752, 53961, 51606, 54014, 51440, 51025, 51752, 51115, 50927, 51115, 50843, 54356, 51515, 51025, 50832, 50866, 78940, 51422, 51614, 51422, 52315, 50866, 51699, 51151, 51638, 51151, 51251, 51151, 50953, 71382, 64965, 52315, 54278, 52315, 53961, 51752, 54014, 51596, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52315, 50866, 50927, 53840, 50866, 51270, 50866, 50799, 57117, 50866, 53320, 50866, 51887, 51151, 52316, 51151, 51251, 51151, 51096, 59401, 64965, 53369, 50866, 53320, 54278, 54632, 50866, 53320, 53961, 52557, 51047, 51565, 54014, 51565, 51134, 50927, 51115, 50843, 54356, 50832, 54752, 51606, 50866, 50799, 55677, 50866, 52182, 50866, 51699, 51151, 51638, 51151, 51426, 51151, 51105, 71382, 64965, 52557, 50866, 52182, 54278, 52027, 50866, 52182, 53961, 51515, 51047, 51606, 54014, 51606, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52161, 50866, 51105, 53840, 50866, 51270, 50866, 76759, 51025, 51614, 51025, 51596, 51025, 51887, 51025, 51638, 51025, 51251, 51025, 51096, 59486, 58193, 52806, 51025, 51515, 51025, 51752, 51025, 51887, 51025, 51883, 51025, 51299, 51025, 51069, 59290, 52769, 51115, 51614, 51115, 52315, 51134, 51699, 51397, 51638, 51397, 51251, 51397, 50953, 51115, 50843, 54356, 50832, 54752, 54809, 54655, 55830, 50813, 66629, 51115, 52027, 51115, 51434, 51115, 51596, 50866, 51699, 51151, 51299, 51151, 51426, 51151, 50964, 71382, 64965, 51752, 54278, 51752, 53961, 52315, 54014, 52027, 51115, 51434, 51115, 51773, 51115, 51752, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52315, 50866, 51105, 53840, 50866, 51270, 50866, 75235, 51115, 52027, 51115, 51565, 50866, 51699, 52644, 51638, 52644, 51154, 52644, 50945, 59401, 64965, 51606, 54278, 51606, 53961, 51596, 54014, 53369, 51115, 52027, 51115, 51606, 51714, 50945, 51115, 50843, 54356, 51434, 51025, 51773, 51025, 50832, 50866, 76056, 50866, 51773, 50866, 52327, 50866, 53369, 51025, 50945, 59401, 64965, 51607, 54278, 51773, 50866, 52027, 59102, 51607, 54014, 55677, 51025, 52027, 51025, 51773, 51025, 51565, 51025, 51699, 51025, 51638, 51025, 51426, 51025, 51105, 62720, 50866, 56953, 52800, 53369, 51025, 52027, 51025, 51440, 51025, 51606, 51025, 51883, 51025, 51299, 51025, 51154, 51025, 50945, 57765, 72829, 50813, 53061, 53211, 51326, 50813, 50799, 57117, 50866, 53124, 50866, 51887, 51151, 51638, 51151, 51251, 51151, 51096, 59084, 50866, 51769, 55085, 53369, 50866, 52182, 55377, 50426, 52557, 50866, 52315, 80104, 50432, 53369, 50866, 51752, 50866, 51096, 71844, 50438, 52557, 50866, 51596, 50866, 51096, 59401, 55377, 50444, 53369, 50866, 51606, 55377, 50450, 52557, 51025, 51614, 51025, 51565, 80104, 50456, 51827, 78073, 71862, 50866, 51686, 50866, 51883, 51151, 51251, 51151, 77681, 50927, 59084, 55377, 50420, 52806, 50866, 51606, 55377, 50426, 51614, 50866, 51606, 80104, 50432, 52806, 50866, 51596, 50866, 50927, 71844, 50438, 51515, 50866, 51596, 51134, 50927, 59486, 55377, 50444, 52806, 55377, 50450, 51614, 51025, 51515, 51025, 50964, 57765, 55377, 50456, 51596, 78073, 50799, 54437, 50866, 51565, 50866, 51699, 51397, 51299, 51397, 51426, 51397, 50964, 59084, 55377, 50420, 52769, 50866, 52161, 55377, 50426, 51774, 50866, 52161, 80104, 50432, 52769, 50866, 51752, 50866, 50964, 71844, 50438, 53369, 51109, 51752, 51134, 51638, 51025, 51299, 51025, 51426, 51025, 50945, 59486, 55377, 51180, 54356, 51774, 51025, 51883, 51025, 51299, 51025, 51154, 51025, 50945, 57765, 55377, 50456, 53124, 78073, 71862, 50866, 51606, 50866, 51883, 51397, 51251, 51397, 51154, 51397, 50927, 59084, 55377, 50420, 52806, 50866, 51596, 55377, 50426, 51515, 50866, 51596, 80104, 50432, 51614, 50866, 52315, 50866, 50927, 71844, 50438, 52769, 50866, 52315, 51025, 51699, 51397, 51638, 51397, 51251, 51397, 50953, 59401, 55377, 50444, 51614, 55377, 50450, 51434, 51025, 52315, 54566, 55377, 50455, 51752, 50878, 56672, 61219, 51596, 50813, 75235, 50866, 51596, 50866, 51883, 51151, 51299, 51151, 51426, 51151, 50945, 59084, 55377, 50420, 51774, 50866, 51752, 51115, 53226, 50426, 52027, 57765, 55377, 50432, 51105, 71844, 50438, 51515, 51025, 50945, 59486, 55377, 50444, 51596, 64914, 56953, 52800, 51774, 50866, 52027, 50866, 51752, 77440, 57765, 72829, 55726, 52315, 53352, 53211, 53369, 50866, 52182, 50866, 51326, 50813, 50799, 57117, 50866, 53124, 50866, 51887, 51151, 51638, 51151, 51251, 51151, 51096, 59084 ]
[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 230, 538, 6, 4246, 3459, 8, 81, 9756, 29589, 6, 13305, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 20, 15352, 30054, 15229, 6, 278, 11, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 6, 5705, 13774, 5, 33215, 16739, 163, 428, 6, 274, 6, 163, 428, 6, 8, 230, 6, 2351, 10, 3366, 219, 8, 23975, 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 ]	[ 54458, 50796, 50799, 50775, 50309, 68086, 50799, 53075, 54217, 51303, 54089, 51249, 54089, 51327, 52903, 53818, 58962, 53511, 58962, 55014, 58962, 50945, 54300, 50791, 50971, 51690, 73728, 51039, 50886, 51544, 50904, 51361, 50904, 51570, 50886, 51180, 50904, 52320, 55735, 50801, 53340, 50904, 50799, 56997, 50978, 55313, 50864, 53985, 50897, 52945, 50925, 51039, 62488, 56997, 50978, 53985, 50955, 52945, 50925, 51768, 51559, 60394, 56997, 50955, 53985, 50833, 52945, 50810, 51361, 53945, 56997, 51233, 53861, 53985, 51233, 52945, 79954, 51687, 50914, 51231, 51603, 51414, 51054, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 67425, 50971, 51811, 52256, 50446, 55049, 51542, 53132, 50914, 53391, 51241, 51955, 51420, 54232, 50852, 50886, 50799, 55285, 52024, 51410, 53090, 51303, 52045, 51414, 52045, 53733, 58962, 54638, 58962, 51096, 53090, 50801, 50950, 52470, 51384, 63712, 51039, 50886, 51768, 50862, 52558, 51361, 50864, 51570, 50867, 51180, 50864, 51955, 51437, 55370, 50801, 50840, 52470, 50799, 56997, 51008, 52962, 50867, 53985, 50942, 52945, 50942, 51039, 62488, 56997, 51008, 53985, 50955, 52945, 50942, 51768, 52873, 63341, 56997, 50886, 53985, 50810, 52945, 50810, 51361, 54728, 56997, 51534, 52470, 53985, 51177, 52945, 51194, 50444, 51687, 51400, 51231, 50980, 51414, 51157, 53370, 52519, 56125, 52519, 51105, 51191, 52470, 51811, 55002, 50446, 55049, 51480, 53132, 51025, 53391, 51377, 51955, 51559, 54232, 63609, 50799, 53075, 54089, 51303, 53090, 51249, 52045, 51327, 52821, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 50959, 50945, 51585, 50801, 50950, 52470, 50775, 50309, 68086, 53985, 50925, 52945, 50878, 51690, 63712, 51039, 59329, 53698, 50844, 53985, 50812, 52945, 50808, 51768, 51559, 63432, 53698, 50844, 53985, 50854, 52945, 50854, 51361, 54077, 53698, 51412, 50791, 50886, 53985, 51212, 52945, 51177, 51180, 61794, 53446, 51419, 53132, 51351, 53391, 73324, 50964, 63096, 51539, 55370, 63151, 50904, 50799, 53698, 50844, 50945, 51356, 52962, 50886, 53985, 50910, 52945, 50897, 51039, 59993, 53698, 50822, 53985, 50910, 52945, 50910, 51768, 51464, 63341, 53698, 50886, 53985, 50833, 52945, 50833, 51361, 53980, 53698, 51423, 52558, 53985, 51101, 52945, 65562, 51687, 51109, 51231, 51460, 51414, 50896, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51141, 51209, 51295, 50791, 50886, 51811, 53280, 50446, 53446, 51419, 53132, 50889, 53391, 50889, 51955, 53065, 54199, 50852, 50867, 50799, 55285, 54153, 51410, 53090, 51303, 53090, 51414, 53090, 53733, 58962, 54638, 58962, 53698, 50844, 51096, 51446, 51408, 51353, 59944, 50867, 53985, 50952, 52945, 50897, 52689, 50942, 51384, 58962, 51039, 59329, 53698, 50822, 53985, 50812, 52945, 50925, 52689, 50955, 51768, 51539, 73418, 53698, 50867, 53985, 50833, 52945, 50812, 52689, 53513, 50945, 51100, 79788, 53698, 51212, 51186, 51623, 52558, 53985, 50873, 52945, 51121, 52689, 50905, 51180, 59763, 53446, 50981, 53985, 51267, 53391, 50943, 52888, 50981, 51955, 51750, 63226, 55449, 54481, 50801, 52304, 51126, 50799, 55449, 51212, 52962, 55394, 51096, 51196, 74755, 53517, 51312, 51768, 51406, 63432, 56997, 51749, 51361, 53980, 53517, 55999, 54305, 51687, 51194, 51231, 51167, 51414, 51175, 53370, 52519, 56125, 52519, 55449, 50978, 51105, 51226, 52558, 51955, 51833, 54194, 53698, 51445, 63609, 66513, 53090, 51249, 53090, 51327, 53454, 53818, 58962, 53511, 58962, 55014, 58962, 50945, 53174, 51935, 62045, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 54915, 51133, 51167, 59193, 55835, 53698, 51058, 50945, 52311, 51897, 50941, 50799, 53428, 51677, 50801, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 51000, 51361, 50941, 51570, 55434, 51687, 51351, 51231, 50896, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51364, 52962, 50941, 53132, 51295, 54669, 72044, 52869, 50959, 59193, 55370, 63380, 61357, 54300, 51303, 54089, 51414, 54300, 53733, 58962, 54638, 58962, 53050, 51293, 51096, 51605, 55313, 50864, 53985, 56235, 52888, 56235, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 50945, 51111, 51897, 50941, 54516, 63524, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 56693, 51096, 51091, 53861, 50438, 53517, 50978, 53861, 50444, 51687, 51351, 51231, 51226, 51414, 51204, 53370, 52519, 56125, 52519, 51105, 51141, 52962, 70042, 53517, 50978, 51955, 51464, 65556, 55449, 54900, 63380, 66513, 52903, 51249, 53090, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 52071, 50945, 53241, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 60838, 51334, 51446, 53861, 51570, 50971, 51180, 54915, 51408, 51177, 59193, 55835, 69161, 51229, 51452, 51897, 50941, 52354, 53672, 52516, 55772, 50945, 51552, 51895, 51102, 63521, 51070, 51000, 51768, 51437, 56138, 66251, 53428, 50959, 51361, 54927, 53428, 51337, 53861, 50444, 51687, 51351, 51231, 51294, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 50983, 52962, 70042, 52869, 50959, 51955, 51464, 65556, 52869, 53820, 63380, 61357, 52903, 51303, 53090, 51414, 52045, 53733, 58962, 54638, 58962, 52869, 51242, 51096, 51991, 55313, 54202, 53050, 53753, 52352, 51102, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 50945, 51158, 51897, 50941, 54516, 65501, 52516, 50904, 50775, 50309, 68086, 51039, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 51000, 51361, 54927, 53517, 50959, 53861, 50444, 51687, 50915, 71217, 51414, 51091, 53370, 52519, 56125, 52519, 51105, 50983, 52962, 70042, 53517, 50978, 51955, 51464, 65556, 55449, 53820, 63380, 66513, 53090, 51249, 52903, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 51313, 50945, 53241, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 69161, 51897, 50941, 52354, 52195, 50801, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 66251, 53698, 50959, 51361, 54927, 53428, 51542, 53861, 50444, 51687, 51351, 51231, 51362, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51364, 52962, 50941, 51955, 51464, 65556, 52869, 50959, 56672, 50825, 61357, 53090, 51303, 52045, 51414, 54300, 53733, 58962, 54638, 58962, 55324, 51212, 51096, 51141, 55313, 50864, 51039, 58682, 67643, 53050, 52222, 50423, 51070, 50864, 51768, 50904, 63985, 60838, 50945, 52201, 54927, 51186, 71109, 50971, 51180, 50904, 51955, 51464, 55835, 51096, 51356, 51897, 50941, 51755, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 56693, 51105, 51623, 53861, 50438, 53517, 50959, 53861, 50444, 51687, 51003, 51231, 51073, 51414, 51091, 53370, 52519, 56125, 52519, 52962, 70042, 53517, 50987, 51955, 51464, 65556, 55449, 51008, 56672, 50825, 66513, 53090, 51249, 53090, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 53487, 50945, 52392, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 60838, 51334, 51562, 53861, 51570, 50971, 51180, 54915, 51408, 50925, 59193, 55835, 69741, 51897, 50941, 52354, 51527, 51229, 51742, 51334, 51742 ]
[ 0, 250, 5679, 26709, 5175, 15229, 4246, 10, 13305, 6, 38668, 11212, 6, 2342, 4467, 6, 8, 15054, 17838, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 8504, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 23667, 2877, 4, 20, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 163, 406, 6, 8, 272, 3639, 7, 63, 364, 38537, 13569, 9862, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 75571, 75571, 78534, 51295, 51050, 51364, 50871, 50893, 55796, 50974, 50740, 50333, 78556, 53124, 51685, 60187, 51591, 50420, 56477, 51790, 50900, 51364, 66789, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53091, 72600, 54963, 78704, 51013, 50740, 50333, 61112, 56477, 51790, 51034, 53124, 51661, 50739, 50294, 51295, 51120, 57874, 51977, 53679, 50974, 50740, 50333, 50905, 60187, 51413, 50420, 55831, 51295, 50899, 51896, 67931, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53956, 51790, 50438, 54120, 51932, 54963, 78704, 51013, 50740, 50333, 51097, 59623, 75665, 55831, 51295, 51034, 53124, 51285, 50739, 50290, 51189, 51234, 56135, 51977, 53361, 50974, 50740, 50335, 50905, 60187, 51446, 50420, 55831, 51295, 50899, 51896, 67931, 56307, 54240, 51295, 51050, 51336, 55796, 51244, 50432, 54142, 51790, 50437, 52182, 51427, 59613, 69705, 54240, 51295, 50861, 51336, 50740, 50335, 61112, 55831, 51295, 51034, 52155, 52195, 78098, 51189, 50900, 51364, 50876, 51343, 66789, 50974, 50740, 50340, 50905, 60072, 51446, 50420, 54240, 51295, 50740, 50335, 56307, 53091, 51295, 66789, 51145, 50432, 53807, 51790, 50438, 52315, 51290, 53091, 51295, 50876, 51336, 50740, 50340, 51097, 57389, 67645, 54240, 51295, 50861, 50893, 50740, 50335, 50905, 51034, 51752, 51055, 50739, 50289, 51189, 51050, 51364, 50871, 51343, 55796, 50974, 50740, 50333, 50905, 61090, 51157, 50420, 56477, 51790, 50900, 51364, 66789, 56307, 53124, 51227, 54963, 51790, 51027, 51196, 57756, 51145, 60187, 70705, 53091, 51790, 50438, 51596, 51290, 54963, 52069, 50871, 51013, 50740, 50333, 51097, 64008, 67645, 56477, 51295, 51034, 50739, 50289, 51519, 50294, 51364, 50871, 51343, 53679, 50974, 50740, 50333, 78556, 51752, 51300, 61090, 70599, 55831, 51295, 50899, 51896, 67931, 56307, 54963, 51790, 51027, 51196, 57756, 51145, 50432, 53956, 51295, 50437, 53124, 51227, 60187, 69205, 54963, 52122, 50871, 51013, 50740, 50333, 61112, 55831, 50901, 51034, 52182, 55198, 50739, 50290, 51364, 51234, 51364, 50906, 51364, 53361, 50974, 50740, 50338, 50974, 59613, 52045, 50420, 55831, 51141, 50861, 52500, 50740, 50335, 53770, 54240, 51141, 50997, 51336, 59601, 51244, 50432, 54142, 52446, 54240, 51623, 50861, 54454, 50740, 50335, 61112, 55831, 51141, 50899, 51343, 67931, 50905, 51034, 78098, 60867, 51364, 50876, 51343, 66789, 50974, 50740, 50340, 55126, 54240, 51141, 50861, 53002, 50740, 50335, 56307, 53091, 62530, 51196, 66789, 51145, 50432, 53807, 68499, 53091, 51623, 50876, 51013, 50740, 50340, 61112, 54240, 55143, 53073, 50740, 50335, 50905, 51034, 52155, 52369, 60607, 69748, 51364, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 60072, 59047, 54963, 51991, 50871, 51364, 50740, 50333, 56307, 53956, 51141, 50900, 51196, 66789, 51145, 50432, 53775, 51790, 50438, 53956, 57254, 51013, 50740, 50337, 61112, 54963, 51790, 51034, 52155, 52512, 50739, 50294, 51189, 51027, 51364, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 60072, 51472, 50420, 54963, 51790, 50871, 51896, 50740, 50333, 56307, 53956, 51295, 50899, 51196, 67931, 51145, 50432, 53136, 51790, 50438, 52155, 51354, 53956, 51295, 50877, 51013, 50740, 50337, 51097, 60072, 60482, 54963, 52122, 51034, 52202, 51300, 78098, 51591, 51315, 51364, 50965, 51343, 55314, 50974, 50740, 50336, 50905, 65696, 70599, 55831, 51295, 50899, 51896, 67931, 56307, 55521, 51295, 51086, 51196, 64995, 51145, 50432, 53136, 55306, 51752, 51162, 55521, 51295, 50965, 51013, 50740, 50336, 51097, 61090, 51411, 50444, 55831, 51295, 51034, 51596, 51274, 78098, 51189, 51086, 51364, 50973, 51343, 64995, 50974, 50740, 50339, 50905, 64008, 70506, 55521, 51790, 50965, 51364, 50740, 50336, 56307, 55837, 51295, 50899, 51196, 67931, 51145, 50432, 54173, 72600, 51606, 51653, 55837, 64449, 51013, 50740, 50339, 51097, 78415, 51238, 50444, 55521, 51295, 51034, 51789, 51016, 50739, 50289, 51189, 51279, 51364, 50916, 51343, 52684, 50974, 50740, 50332, 50905, 76401, 57519, 56477, 60259, 51896, 66789, 56307, 51752, 51160, 56431, 51295, 51315, 51336, 55314, 51244, 61090, 68109, 53956, 51790, 50438, 51596, 51500, 56431, 51295, 50916, 51013, 50740, 50332, 51097, 64008, 51346, 50444, 56477, 50901, 51034, 51789, 51527, 50739, 50291, 51189, 51315, 51896, 50965, 51977, 55314, 50974, 50740, 50336, 50905, 76401, 54994, 55831, 51295, 50899, 51896, 67931, 56307, 55521, 51514, 50303, 51196, 64995, 51145, 50432, 53136, 72600, 51606, 51227, 55521, 51896, 50965, 51013, 50740, 50336, 51003, 78415, 65346, 55831, 51364, 51034, 51789, 56073, 50739, 50292, 67899, 51896, 50916, 51356, 56336, 50901, 50740, 50332, 50901, 76401, 52382, 50420, 56431, 51336, 50916, 51336, 50740, 50332, 55035, 56431, 51336, 51026, 51196, 56336, 78787, 53091, 55122, 56431, 51364, 50916, 51013, 50740, 50332, 51353, 50444, 56431, 53002, 50916, 51343, 50740, 50332, 52122, 51034, 78098, 51274, 51315, 51896, 50951, 51364, 55314, 50901, 50740, 50347, 57437, 54240, 51364, 50876, 51685, 50740, 50340, 53890, 53091, 51364, 50916, 51336, 50740, 50332, 52122, 50432, 53807, 55122, 51752, 51290, 53091, 51364, 50876, 51933, 50740, 50340, 51003, 61090, 67645, 54240, 51364, 50861, 53073, 50740, 50335, 50901, 51034, 51606, 52369, 50739, 50294, 51274, 51120, 51364, 50871, 51343, 53679, 50901, 50740, 50333, 50901, 78415, 59047, 55831, 52122, 50899, 51896, 67931, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53956, 55306, 54963, 51353, 50871, 51013, 50740, 50333, 61112, 55831, 52122, 51034, 51596, 51661, 60607, 74911, 51896, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 64008, 51413, 50420, 54963, 53651, 50871, 51364, 50740, 50333, 56307, 53956, 61566, 51196, 67931, 51145, 50432, 53136, 51790, 50438, 51606, 51603, 53956, 51295, 50877, 51013, 50740, 50337, 51097, 78415, 71493, 54963, 53454, 51034, 51789, 51454, 50739, 50292, 51189, 51085, 51896, 50877, 51343, 53465, 50974, 50740, 50337, 50905, 76401, 72929, 56431, 51790, 50916, 51364, 50740, 50332, 52337, 50426, 51752, 54527, 53956, 51295, 51085, 51336, 53465, 51244, 61090, 53380, 50432, 53091, 51790, 50438, 53956, 51295, 50876, 51336, 50740, 50340, 61112, 56431, 52122, 51034, 78534, 51189, 51279, 51896, 50876, 51364, 52684, 50974, 50740, 50340, 58879, 56477, 78704, 51274, 50740, 50333, 53770, 54963, 51295, 51027, 51336, 57756, 51244, 50432, 53091, 51790, 50438, 54963, 52122, 50871, 51013, 50740, 50333, 61112, 56477, 51790, 50900, 51343, 66789, 50905, 51034, 51596, 52097, 50739, 50294, 51519, 50294, 51364, 50906, 51343, 53679, 50974, 50740, 50338, 50905, 64008, 51291, 50420, 55831, 52122, 50871, 51364, 50740, 50333, 56307, 58241, 51790, 50997, 51336, 59601, 51244, 50432, 53136, 50901, 50437, 51596, 51054, 64008, 52424, 50906, 51013, 50740, 50338, 61112, 55831, 52122, 51034, 51752, 51661, 50739, 50292, 51189, 51085, 51364, 50916, 51343, 53465, 50974, 50740, 50332, 51662, 61090, 51413, 50420, 56431, 51183, 50916, 53002, 50740, 50332, 52337, 50426, 56431, 51692, 51026, 51336, 56336, 51244, 50432, 53091, 55306, 52315, 50980, 56431, 52122, 50916, 53002, 50740, 50332, 52337, 57389, 51346, 50444, 56431, 52122, 51034, 51752, 53898, 60607, 51364, 51027, 51358, 50877, 51364, 57756, 50974, 50740, 50337, 50905, 61090, 53363, 50420, 54963, 51264, 50871, 50983, 50740, 50333, 56307, 53956, 72136 ]
[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 25044, 139, 10170, 1499, 6, 31391, 1672, 9590, 6, 8, 21072, 6, 278, 11, 10, 132, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 1814, 741, 1685, 6, 24826, 198, 5, 33215, 16739, 9, 83, 6, 211, 119, 6, 230, 6, 8, 274, 6, 61, 35315, 1328, 5, 2214, 6, 2351, 41, 20425, 8, 1313, 16464, 19, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50423, 53326, 57550, 52635, 75104, 53346, 54154, 53326, 60085, 52635, 50940, 50437, 53346, 50858, 51057, 53326, 50813, 53346, 50808, 53539, 50833, 52635, 50921, 51137, 51505, 50801, 59515, 70374, 53326, 57780, 59970, 50855, 54174, 53104, 50611, 59182, 53915, 50859, 53326, 60724, 53346, 50870, 53539, 54447, 50957, 50612, 52227, 51060, 50422, 59970, 50890, 54174, 50821, 52635, 55747, 51137, 53277, 50611, 52773, 71201, 53326, 50809, 53346, 50859, 52860, 50859, 53539, 50821, 52635, 58216, 51526, 54065, 56028, 51421, 52390, 64977, 59970, 50809, 54174, 50887, 53346, 56274, 51845, 58607, 52979, 52686, 51684, 55968, 50957, 50612, 52218, 59553, 57775, 53346, 52262, 51845, 59321, 52860, 50890, 51057, 52635, 50863, 55883, 50834, 54343, 50835, 51181, 66363, 51044, 56028, 60549, 51421, 51049, 52218, 68868, 51060, 50416, 52979, 54745, 54174, 59905, 59182, 52635, 50883, 55883, 50884, 54343, 50880, 57843, 50890, 51039, 50869, 50612, 52227, 71587, 54174, 50828, 52979, 50828, 54535, 57851, 51181, 64717, 52773, 71201, 52635, 50825, 52860, 53950, 51640, 51575, 56028, 51421, 52390, 51060, 50428, 54174, 50809, 52979, 54056, 52979, 53104, 50611, 58607, 52635, 50884, 55883, 50884, 57843, 50841, 54535, 50840, 54343, 54053, 51349, 51575, 50869, 50612, 52218, 55220, 74891, 54174, 50841, 52979, 54665, 52860, 50940, 51845, 50809, 51057, 52635, 50870, 52979, 50812, 51181, 51575, 56028, 51421, 52218, 66139, 54535, 54745, 52979, 50820, 54174, 57899, 59182, 52635, 50884, 55883, 50884, 54343, 50883, 57843, 50884, 52635, 50821, 51039, 50957, 50612, 52227, 51060, 50422, 54174, 50837, 52979, 50836, 52860, 67761, 51181, 50386, 52486, 52773, 71201, 53346, 52450, 52635, 50835, 51640, 51575, 56028, 51421, 52390, 64977, 52979, 53847, 52979, 51004, 54174, 64717, 58607, 54535, 50812, 53326, 50827, 51349, 55214, 52635, 50883, 55883, 50883, 54343, 50883, 57843, 51041, 50957, 50612, 52218, 59553, 57775, 52979, 50809, 52979, 53660, 54174, 71517, 59321, 52635, 72017, 50887, 51057, 51137, 51575, 56028, 51421, 52218, 51060, 50416, 54174, 50837, 53326, 50834, 53346, 60851, 51845, 59182, 52635, 50895, 53539, 50846, 57843, 50834, 56313, 68709, 50869, 50612, 52227, 71587, 54174, 50891, 54469, 50928, 53326, 50870, 52979, 50829, 53346, 50809, 53210, 55081, 51137, 50387, 52486, 52773, 71201, 53210, 51258, 52635, 50818, 53539, 50825, 56313, 50835, 53062, 55640, 51526, 54065, 56028, 51421, 52390, 51060, 50428, 54174, 50841, 53915, 50834, 53326, 50809, 77888, 52635, 55658, 51845, 58607, 52635, 50961, 53539, 50883, 54343, 50825, 57843, 50883, 53210, 50887, 56313, 50880, 78491, 51361, 50869, 50612, 52218, 55220, 74891, 54174, 50820, 53326, 50813, 53346, 73691, 75339, 53210, 50359, 51462, 58291, 52635, 50812, 51057, 52635, 50835, 51137, 58568, 56028, 51421, 52218, 66139, 53210, 59176, 54174, 50834, 53326, 50887, 53346, 79468, 59182, 52635, 50895, 53539, 50884, 56313, 50818, 57843, 50895, 53539, 50897, 51039, 50957, 50612, 52227, 51060, 50422, 53062, 65647, 54174, 50841, 53326, 50880, 53346, 63356, 50386, 52486, 52773, 71201, 53915, 52450, 52635, 50867, 51910, 58568, 56028, 51421, 52390, 64977, 54174, 50870, 53326, 50864, 53210, 50836, 52635, 55730, 53539, 58452, 58607, 52635, 50949, 53539, 50884, 52860, 50880, 58013, 50836, 57843, 56629, 51684, 56832, 50957, 50612, 52218, 59553, 57775, 53326, 50820, 53210, 50884, 52635, 53660, 51845, 59321, 52860, 50886, 53915, 51175, 51057, 51338, 54065, 56028, 51421, 52218, 51060, 50416, 53539, 50982, 53326, 58671, 56114, 66678, 59182, 52860, 50895, 53915, 50840, 53539, 71813, 50869, 50612, 52227, 71587, 56114, 50809, 53326, 56037, 51727, 50837, 51338, 50384, 52486, 52773, 71201, 52860, 52992, 51533, 51575, 56028, 51421, 52390, 51060, 50429, 56114, 50818, 53326, 50825, 53915, 67543, 58607, 52860, 50895, 53915, 50846, 53915, 50809, 53539, 50880, 55954, 53695, 51137, 53734, 50869, 50612, 52218, 55220, 74891, 56114, 50884, 53326, 50867, 52635, 61023, 51845, 58291, 52635, 50862, 52635, 50930, 51057, 51181, 54065, 56028, 51421, 52218, 66139, 54174, 50846, 54535, 50870, 54343, 50863, 52979, 58093, 52860, 66112, 59182, 52635, 50883, 55883, 50884, 54343, 50961, 57843, 50895, 52860, 68709, 50957, 50612, 52227, 51060, 50422, 54174, 72017, 50961, 52979, 53467, 51181, 50386, 52486, 52773, 71201, 52635, 50820, 53346, 52422, 51640, 52964, 56028, 51421, 52390, 64977, 52979, 55212, 54174, 50836, 52979, 63874, 58607, 52635, 50895, 55883, 50884, 57843, 50884, 54343, 50880, 52979, 50882, 79646, 51361, 50957, 50612, 52218, 59553, 57775, 53326, 50883, 54174, 50809, 52979, 56788, 51845, 59321, 52635, 50829, 52635, 50950, 53539, 50882, 56313, 50882, 53326, 50865, 51137, 50921, 51057, 53326, 52259, 65209, 50821, 50416, 53326, 50864, 53346, 66182, 54174, 50884, 54343, 50846, 53326, 50855, 53346, 50857, 52635, 51010, 53539, 50930, 56313, 50930, 57843, 57188, 53326, 50894, 52635, 50894, 53539, 50894, 56313, 50882, 51137, 53235, 64257, 76237, 53326, 57550, 52635, 50821, 50428, 53346, 78881, 53326, 59979, 52635, 51014, 50437, 53346, 50384, 58934, 51291, 61234, 53326, 59182, 53915, 66685, 52635, 50882, 50425, 52860, 50858, 50428, 53346, 58812, 52979, 78116, 53346, 63892, 54174, 50880, 54535, 50887, 52979, 50890, 52635, 51010, 55883, 50962, 54343, 51010, 57843, 51010, 52860, 50894, 53424, 50950, 54343, 50894, 57843, 50950, 55883, 51014, 51181, 51045, 51057, 51728, 52054, 50882, 50419, 54174, 50930, 54535, 50890, 52979, 50930, 52635, 51010, 55883, 50882, 55883, 50882, 54343, 50894, 57843, 50894, 57843, 58609, 54174, 50882, 52979, 50858, 53424, 50894, 54343, 50882, 51181, 53056, 64257, 57625, 54535, 53244, 52860, 58129, 52979, 67803, 54535, 68066, 52860, 50921, 51057, 52979, 56624, 54535, 51835, 52635, 66553, 52860, 56382, 53346, 62549, 52979, 70328, 53326, 62408, 52979, 77451, 53346, 50882, 51057, 54174, 50840, 53326, 50836, 53346, 50887, 52635, 50930, 53539, 50809, 56313, 50890, 57843, 50880, 53326, 50882, 52635, 50894, 53539, 50821, 56313, 50882, 57843, 50894, 51137, 51045, 51728, 52054, 55446, 54174, 50809, 53326, 50890, 53346, 50880, 52635, 51010, 53539, 50890, 56313, 50930, 57843, 50930, 53326, 50859, 52635, 50950, 53539, 50894, 56313, 50882, 57843, 50894, 51137, 51014, 52723, 52054, 76237, 53210, 50910, 50425, 53062, 50925, 50428, 52635, 50952, 50431, 53210, 59979, 53210, 52611, 53062, 59321, 52635, 50808, 51057, 51137, 54065, 53837, 54005, 66139, 53210, 59176, 51845, 59182, 52635, 50895, 53539, 50818, 58013, 50809, 57843, 57242, 53539, 51594, 50957, 50612, 52227, 51060, 50422, 53210, 50813, 53062, 65647, 53326, 50867, 51137, 50386, 52486, 52773, 71201, 53915, 53950, 52635, 50813, 51910, 51575, 56028, 51421, 52390, 64977, 52635, 55104, 54174, 50837, 53326, 50874, 53210, 79678, 58607, 53539, 50884, 52635, 50930, 57843, 50930, 52860, 50894, 58013, 50808, 52474, 50839, 51684, 50917, 51361, 50957, 50612, 52218, 59553, 57775, 54174, 50833, 53326, 50810, 53210, 50833, 52635, 56966, 51845, 59321, 53915, 51427, 51057, 51338, 54065, 56028, 51421, 52218, 51060, 50417, 53326, 67255, 59748, 56114, 61132, 52860, 50884, 53915, 50855, 53539, 50836, 51039, 50869, 50612, 52227, 71587, 56114, 50846, 53326, 53991, 51338, 50387, 52486, 52773, 53244, 52860, 50837, 51533, 51575, 56028, 51421, 52390 ]
[ 0, 250, 20902, 11057, 8859, 19, 10, 1619, 27456, 6, 4246, 10, 11577, 20535, 2810, 9, 326, 5638, 18026, 6, 32909, 6, 8, 31365, 6673, 6909, 6, 2800, 30, 41, 21979, 9590, 4, 20, 2214, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 25451, 11, 5, 762, 9, 163, 428, 538, 19, 41, 28339, 33215, 16739, 14, 1171, 230, 10431, 37152, 6, 272, 119, 406, 6, 211, 119, 406, 428, 245, 6, 272, 406, 6, 8, 230, 119, 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 ]	[ 59626, 50843, 51031, 55057, 56262, 50843, 51031, 63262, 51031, 67746, 56385, 50843, 51031, 64934, 51060, 51744, 51060, 51579, 51060, 53147, 51060, 52135, 50967, 51652, 71822, 51111, 50415, 51140, 51055, 52058, 50967, 51866, 50967, 53084, 50967, 52228, 50967, 52491, 59958, 59935, 51641, 50800, 51509, 50800, 52264, 50800, 52629, 50800, 52194, 50800, 52185, 50830, 51643, 50830, 51978, 60809, 51968, 50800, 52377, 50800, 52608, 58821, 50816, 56519, 69278, 50903, 62864, 51345, 50856, 59453, 68686, 51641, 50830, 51509, 50830, 52264, 50830, 52629, 50830, 51968, 50830, 52377, 50830, 52194, 50865, 52608, 50865, 51978, 55941, 53439, 52185, 50830, 51643, 53402, 51522, 61785, 50952, 50439, 51947, 50991, 51702, 50991, 52377, 50991, 52185, 51112, 51831, 51112, 52394, 51291, 52608, 51291, 50440, 51431, 50967, 51641, 50967, 51509, 50967, 52264, 59323, 74320, 51431, 50795, 51641, 50795, 51509, 50795, 52264, 50795, 51947, 51060, 52377, 51060, 50903, 54972, 51345, 50856, 62468, 68343, 51702, 77852, 52211, 50830, 51431, 50830, 51485, 50830, 51509, 50830, 53542, 50809, 51702, 51740, 60381, 57326, 52058, 50809, 54204, 51160, 53636, 50421, 52228, 50865, 51978, 69904, 52211, 51161, 51431, 51161, 51509, 51161, 51485, 68110, 55892, 75177, 51702, 51161, 53542, 51161, 52058, 51161, 52185, 50865, 51643, 51620, 51261, 51055, 51633, 50967, 52656, 50967, 50903, 71541, 51238, 51236, 50910, 50427, 51643, 51060, 51978, 74891, 52185, 50865, 51643, 50865, 52228, 50830, 51978, 53661, 54336, 52877, 51389, 51055, 51633, 51060, 52656, 51060, 50439, 51643, 50795, 51978, 59830, 51493, 50883, 51643, 50865, 52200, 50865, 51978, 50830, 52656, 55941, 65835, 50903, 56060, 51261, 50980, 51633, 50967, 51993, 50967, 52656, 70264, 51215, 51240, 67509, 52380, 51060, 50457, 51493, 50883, 51140, 61765, 52185, 50865, 51643, 50830, 52228, 50830, 51978, 53071, 51388, 52356, 51354, 51240, 50855, 54204, 51160, 52314, 51060, 52067, 51060, 51744, 51060, 55078, 64194, 78346, 52384, 51060, 52148, 51060, 54006, 51060, 50421, 51273, 50883, 51493, 59013, 51579, 50865, 52336, 50865, 51721, 50830, 51633, 50800, 51978, 50865, 51979, 61456, 51509, 50865, 53954, 50830, 51702, 50865, 52178, 50865, 52488, 50830, 72130, 56519, 51261, 78686, 51345, 50856, 61150, 50952, 50903, 51014, 50433, 51702, 50830, 52488, 50830, 52178, 56080, 51579, 50830, 52336, 50830, 51509, 50830, 53954, 50830, 51721, 50830, 51633, 50830, 51978, 50830, 51979, 55941, 54077, 51098, 50980, 52058, 50991, 52178, 51112, 50856, 50924, 50439, 51509, 50991, 51579, 50991, 51485, 50991, 52336, 50991, 51866, 51112, 51721, 51291, 51652, 51291, 51978, 51291, 52228, 51291, 50450, 69278, 51509, 51060, 51579, 51060, 51485, 51060, 52058, 50865, 51866, 50865, 52178, 57429, 54972, 61785, 61369, 65170, 52336, 59831, 51723, 50830, 51485, 50830, 51744, 50830, 51579, 50830, 52339, 50865, 52384, 50865, 51866, 57700, 56093, 50810, 53788, 61785, 73489, 52376, 50865, 51652, 61456, 53628, 50830, 52228, 51620, 51984, 78686, 67013, 59608, 50924, 50903, 51021, 50427, 51721, 50795, 51652, 50865, 52491, 50967, 52228, 64760, 51721, 50865, 52226, 50865, 51978, 55941, 53439, 51979, 53402, 51150, 51167, 51643, 50967, 52491, 78576, 50924, 50439, 51721, 51060, 51979, 59830, 51273, 50883, 51652, 50800, 51721, 50800, 53580, 50800, 52491, 53484, 51098, 51160, 52376, 51060, 52185, 51060, 53628, 55992, 76431, 68147, 63653, 53580, 50865, 50903, 61046, 51273, 56153, 56093, 62923, 52488, 50991, 53202, 51055, 53954, 50967, 51744, 50967, 51579, 50967, 53147, 50967, 52384, 50967, 53084, 50967, 52135, 51060, 51633, 51060, 52491, 71822, 53412, 78346, 51979, 71587, 51273, 50883, 51493, 50883, 51978, 50800, 52656, 52296, 51509, 50865, 52264, 50865, 52629, 50865, 55558, 50865, 51702, 50830, 52194, 50830, 53397, 50830, 51643, 50800, 52200, 60809, 50816, 56519, 69278, 50903, 53766, 52990, 58251, 53230, 51978, 50830, 52656, 56080, 52629, 50830, 51509, 50830, 52264, 50830, 55558, 50830, 51702, 50830, 52194, 50830, 53397, 50830, 51643, 50830, 52200, 55941, 53442, 51522, 50980, 51968, 51112, 52377, 51112, 52194, 50991, 52608, 51048, 51978, 56053, 57014, 51509, 51048, 52264, 51048, 51641, 51048, 52629, 51048, 52185, 50967, 51643, 60866, 74320, 51947, 50795, 51702, 50795, 52377, 50795, 51831, 51060, 52185, 51060, 52394, 51060, 52608, 51060, 50903, 51695, 52990, 55399, 57150, 51641, 50795, 51509, 50795, 51431, 50795, 52264, 59831, 51509, 50865, 52264, 50865, 51641, 50830, 51968, 50830, 52377, 50830, 52194, 50830, 52185, 50800, 51643, 50830, 52608, 50800, 51978, 51740, 56093, 54943, 52629, 50830, 60200, 61785, 61553, 51978, 51091, 52656, 51091, 50422, 51509, 51091, 52264, 51091, 52629, 51091, 51702, 50807, 52194, 50807, 53397, 50807, 51643, 50983, 52200, 51091, 50423, 55558, 65183, 74320, 50843, 52990, 58251, 64654, 50949, 54127, 52742, 51261, 51055, 53179, 71822, 59901, 51898, 50865, 51431, 50865, 51641, 50865, 52314, 50795, 53093, 50795, 51968, 50795, 52698, 50795, 52200, 50795, 52172, 50967, 52380, 51060, 50446, 53437, 50800, 51898, 50800, 51431, 50800, 51643, 50830, 52200, 58726, 51641, 50800, 51947, 50809, 55870, 50809, 51968, 50800, 52172, 50830, 52891, 53484, 51261, 50980, 51633, 51060, 51993, 64918, 52990, 56379, 56688, 52211, 51060, 52298, 51060, 51485, 51060, 51509, 51060, 52058, 50795, 51702, 50795, 53266, 50795, 52656, 51060, 53319, 51060, 50903, 56995, 52039, 50830, 51723, 50830, 51431, 50800, 51641, 50800, 55870, 50830, 51947, 50830, 51643, 50800, 52200, 51740, 56093, 54943, 51140, 50883, 51098, 50883, 51968, 50800, 51979, 50800, 71229, 60653, 51167, 52211, 51060, 52298, 51060, 51485, 51060, 53542, 50967, 51633, 50967, 51993, 50967, 53319, 51060, 52656, 64194, 59540, 56868, 51509, 51060, 52058, 51060, 51702, 51060, 50422, 51140, 55133, 51493, 50883, 55870, 50809, 51947, 50809, 51968, 50800, 51643, 50800, 52200, 50800, 52891, 50830, 52172, 53373, 79286, 53437, 50809, 51898, 50809, 51431, 50809, 51641, 51620, 51389, 51055, 50903, 53766, 52990, 58251, 61251, 51643, 50807, 52200, 51091, 50434, 51273, 50883, 51493, 50883, 53266, 51358, 51947, 51358, 51968, 51036, 52436, 51048, 50856, 53404, 64917, 52039, 51358, 51723, 52045, 51431, 52045, 51641, 51036, 51979, 51048, 57385, 78678, 59484, 51273, 50883, 51493, 50883, 51643, 50865, 52380, 55178, 69278, 50903, 51695, 52990, 55399, 57150, 51721, 51060, 52436, 50865, 54820, 56093, 50846, 53202, 50980, 52334, 51036, 51947, 50918, 53456, 50918, 51652, 50967, 51979, 71822, 60480, 51978, 58218, 51831, 51620, 51150, 50980, 50843, 52990, 58251, 64654, 65341, 52832, 66881, 52394, 57700, 57514, 51579, 56039, 51261, 50980, 53456, 50918, 52058, 50918, 52339, 50918, 54641, 50918, 50856, 59901, 53628, 50918, 50447, 51140, 50883, 51098, 53711, 51389, 51167, 50903, 51695, 52990, 56379, 58323, 51140, 52893, 56093, 50846, 60653, 51055, 51756, 51576, 50856, 53087, 69278, 52280, 54249, 50903, 53766, 52990, 58251, 50884, 54127, 53442, 74320, 52522, 71822, 57014, 51667, 50967, 54727, 50967, 52228, 69127, 51721, 50830, 52394, 50800, 52608, 58726, 51652, 51757, 52770, 51060, 51652, 50967, 53628, 50967, 50903, 51695, 52990, 55399, 57150, 52078, 51055, 52394, 64603, 52770, 50865, 54512, 50800, 53628, 51740, 56093, 54943, 52832, 50830, 60200, 51055, 51652, 50967, 56404 ]
[ 0, 250, 182, 765, 37903, 9, 5175, 930, 11, 274, 10431, 538, 6, 4246, 10, 881, 33215, 13931, 9, 274, 10431, 6, 163, 43531, 406, 6, 8, 230, 10431, 73, 534, 10431, 6, 702, 23, 10, 182, 1769, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 3344, 9, 20425, 6, 15352, 30054, 6, 8, 25306, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50956, 52115, 51324, 51631, 50956, 51736, 51001, 51646, 51324, 51918, 50956, 51798, 50931, 51923, 51324, 50795, 57126, 52115, 51197, 51631, 50989, 51736, 51114, 51646, 51197, 51918, 51114, 51798, 51028, 51923, 51197, 50795, 57126, 52115, 51360, 51631, 50989, 51736, 51028, 51646, 51360, 51918, 50989, 51798, 50906, 51923, 51360, 50795, 57126, 52115, 51360, 51631, 50989, 51736, 51028, 51646, 51360, 51918, 50989, 51798, 50906, 51923, 51360, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 272, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 881, 21263, 9, 5, 33215, 16739, 211, 6, 163, 119, 406, 6, 272, 6, 211, 6, 163, 119, 406, 6, 2351, 41, 20425, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 51085, 60692, 72355, 52115, 51120, 61441, 79594, 51631, 51026, 72674, 51220, 52262, 51026, 72674, 50951, 51820, 51026, 72674, 50951, 51757, 51120, 56931, 61907, 50795, 54868, 61441, 72355, 51835, 51120, 61441, 79594, 51620, 51315, 57341, 57022, 53505, 51315, 69856, 59304, 52444, 51315, 59065, 72355, 51820, 51120, 69584, 77101, 52555, 51085, 58035, 55648, 50795, 53997, 60692, 72355, 52115, 51120, 61441, 79594, 51631, 51026, 72674, 51220, 52262, 51026, 72674, 50951, 51820, 51026, 72674, 50951, 51757, 51120, 61441, 50800, 51114, 51754, 51120, 61441, 50800, 68631, 54868, 61441, 72355, 51835, 51120, 61441, 79594, 51620, 51315, 57341, 57022, 53505, 51315, 69856, 59304, 52444, 51315, 59065, 72355, 51820, 51120, 69584, 77101, 52555, 51085, 58035, 79564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 5, 762, 9, 272, 538, 6, 1931, 21683, 10, 15352, 30054, 8, 33558, 13569, 9862, 4, 590, 10, 7212, 20889, 9, 5663, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 2342, 4467, 6, 13305, 6, 3459, 9590, 6, 18558, 6, 8, 32909, 4, 20, 15229, 5705, 29769, 198, 5, 33215, 16739, 9, 272, 6, 163, 119, 6, 8, 230, 6, 8216, 7, 63, 17627, 17274, 8, 2365, 12, 6928, 16464, 6, 19, 12405, 17878, 9, 10, 12298, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 67548, 52500, 51434, 53435, 51607, 53435, 50964, 51472, 67625, 51021, 52033, 52250, 51615, 52250, 51711, 51307, 51335, 54005, 51139, 73628, 54183, 51089, 74716, 50880, 51092, 51864, 60628, 75090, 50928, 74121, 55212, 51089, 74716, 50880, 51092, 52153, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51472, 51089, 72200, 72738, 53287, 51139, 79496, 74096, 60628, 54525, 51089, 74716, 50880, 51092, 51864, 50928, 51382, 74831, 76419, 60628, 52881, 51089, 50895, 51020, 50883, 51092, 51041, 56232, 70429, 51089, 74716, 50880, 51092, 51864, 60628, 50841, 67548, 52392, 51434, 52500, 51808, 53435, 51019, 51472, 69492, 51021, 52187, 51359, 52321, 73628, 54183, 51089, 50859, 67173, 51208, 51508, 60628, 75090, 50928, 74121, 55212, 51089, 63242, 50890, 51208, 50930, 52622, 51361, 60628, 78651, 50367, 52388, 52565, 51019, 51294, 51089, 70424, 50962, 51208, 54441, 51139, 79496, 74096, 60628, 54525, 51089, 74716, 50890, 51208, 51864, 50928, 51382, 74831, 54944, 50964, 52304, 60628, 52881, 67482, 51089, 64407, 50880, 51208, 51864, 56232, 51019, 76681, 62905, 69901, 52207, 60628, 50841, 72721, 51941, 51440, 53435, 51607, 52392, 50945, 51291, 63770, 51021, 51743, 51036, 51711, 51717, 52321, 56868, 51656, 52644, 51402, 54183, 61012, 51023, 50821, 51092, 51508, 60628, 75090, 50928, 74121, 55212, 51061, 69639, 50880, 51092, 51508, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50945, 51336, 51061, 69639, 50821, 51092, 53287, 51139, 79496, 74096, 60628, 54525, 61012, 51023, 50880, 51092, 51864, 50928, 51382, 74831, 76419, 60628, 52881, 51061, 69015, 50880, 51092, 52207, 56232, 51061, 66578, 65889, 51421, 60628, 50841, 50799, 51944, 51226, 51440, 51226, 51607, 51294, 51213, 51336, 63770, 51021, 52332, 50918, 52321, 73628, 54183, 51268, 50821, 51023, 50821, 51092, 52189, 60628, 75090, 50928, 74121, 55212, 51268, 69015, 65889, 51421, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 51515, 51356, 51434, 51196, 51607, 51196, 50953, 51472, 63770, 51021, 51061, 51196, 51020, 51527, 51092, 51196, 51615, 51103, 51743, 51103, 52321, 79496, 74096, 60628, 50839, 51618, 50928, 51382, 74831, 76419, 60628, 50841, 51453, 50928, 51621, 60628, 50841, 67548, 51226, 51434, 51573, 51607, 51573, 50964, 51291, 51615, 51359, 51711, 51103, 52033, 51036, 51335, 54005, 51139, 73628, 54183, 51089, 72200, 74718, 52304, 60628, 75090, 53098, 51565, 52764, 51139, 55212, 51686, 78755, 64407, 72738, 52207, 50928, 51361, 60628, 53908, 70429, 52156, 50925, 53510, 52388, 52565, 51660, 51091, 51434, 51573, 51808, 51573, 51019, 51336, 51089, 72200, 50880, 51208, 54441, 51139, 59575, 52187, 51103, 50441, 51673, 50910, 52622, 51180, 60628, 54525, 52156, 50910, 51089, 74158, 50890, 51208, 51864, 50928, 51382, 74831, 54944, 51565, 51049, 60628, 52881, 51089, 62905, 70377, 51864, 56232, 51686, 51933, 51089, 64379, 72019, 51421, 60628, 50841, 72721, 51585, 51440, 51585, 51607, 51585, 50945, 51291, 52321, 56868, 51711, 51717, 51743, 52149, 51656, 52122, 51402, 54183, 51061, 66578, 74718, 52304, 60628, 75090, 50928, 74121, 55212, 51061, 59869, 65889, 52304, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50945, 51364, 51061, 59869, 65889, 53672, 51139, 79496, 74096, 60628, 54525, 51061, 66578, 74718, 51421, 50928, 51382, 74831, 76419, 60628, 52881, 51515, 50800, 51773, 50859, 51669, 50821, 61197, 66453, 50894, 51061, 73818, 50884, 51092, 51421, 56232, 58883, 51061, 69345, 66146, 52217, 60628, 50841, 72721, 52392, 51440, 52500, 51607, 52536, 50945, 51472, 63770, 55024, 51139, 56868, 52171, 50859, 51402, 68419, 52433, 52871, 51061, 55457, 65889, 52207, 60628, 75090, 65152, 52433, 50879, 74121, 55212, 51061, 59869, 72738, 51421, 66221, 51886, 50809, 51361, 60628, 53908, 51886, 51091, 53510, 52388, 52565, 50945, 51336, 51061, 69639, 65889, 53672, 51139, 79496, 74096, 60628, 54525, 51673, 72677, 67357, 65889, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51061, 62194, 62737, 51421, 56232, 51061, 59869, 65889, 52675, 60628, 58660, 51673, 50795, 67548, 51585, 51434, 52369, 51607, 51585, 50964, 51472, 52033, 52250, 51615, 52149, 52321, 73628, 54183, 51789, 50910, 51089, 63242, 74718, 52207, 60628, 54446, 51565, 51896, 52622, 74121, 55212, 51089, 74158, 74718, 52304, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51472, 51089, 74158, 72738, 52773, 51139, 79496, 74096, 60628, 54525, 51089, 72200, 50880, 51092, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51774, 50859, 51515, 50821, 51440, 50821, 71465, 50894, 51089, 50818, 51020, 71701, 52304, 56232, 51089, 74158, 68129, 51421, 60628, 50841, 66629, 51036, 51660, 51036, 51434, 51469, 50964, 51472, 67625, 55024, 51139, 73628, 54183, 51089, 63242, 72738, 52207, 60628, 75090, 53098, 52433, 51238, 59425, 55212, 51089, 50808, 51020, 65889, 51421, 50928, 51361, 60628, 53908, 51886, 51421, 50367, 52388, 52565, 50964, 51294, 51886, 51364, 51089, 74158, 72738, 53672, 51139, 79496, 74096, 60628, 54525, 51089, 63242, 72738, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 75108, 51673, 50910, 51089, 68204, 50884, 51092, 51135, 56232, 64628, 52156, 59494, 74158, 68129, 51421, 60628, 50841, 67547, 50795, 51434, 51192, 51808, 51192, 50953, 51472, 51881, 51717, 52321, 56868, 52187, 52149, 50417, 51596, 51420, 54183, 51083, 50808, 51020, 69901, 52153, 60628, 54446, 51606, 51358, 52622, 74121, 55212, 53876, 50862, 51083, 74158, 69901, 51421, 53962, 54797, 52873, 60628, 53908, 52257, 51420, 50367, 52388, 52565, 51669, 50828, 50953, 51364, 51083, 74158, 73817, 52773, 51139, 55757, 51607, 51421, 54485, 51808, 52675, 60628, 54525, 51434, 50812, 51083, 74158, 69901, 51421, 53430, 51614, 53497, 74831, 54944, 51434, 51187, 60628, 52881, 51614, 50830, 51434, 50940, 51607, 50921, 50964, 50887, 63770, 50962, 51083, 74158, 69901, 52207, 56232, 79072, 51083, 62106, 73817, 51421, 60628, 50841, 67547, 51696, 51515, 51469, 51808, 51469, 50953, 51291, 69492, 50894, 51743, 51036, 52321, 73628, 54183, 51083, 50858, 61012, 51208, 52189, 60628, 54446, 51596, 50867, 63201, 51596, 54047, 51139, 55212, 51789, 50859, 51083, 63218, 50890, 51208, 51049, 50928, 51361, 60628, 53908, 51606, 52189, 50367, 52388, 52565, 50953, 51336, 51083, 60213, 50890, 51208, 52218, 51139, 55757, 51565, 50830, 52622, 51180, 60628, 54525, 51606, 50859, 51083, 50859, 51061, 50880, 51208, 52189, 50928, 51382, 74831, 54944, 51565, 52189, 60628, 52881, 51083, 63218, 76590, 51421, 56232, 51606, 50849, 51083, 50862, 51061, 72019, 52217, 60628, 50841, 67548, 51941, 51434, 52369, 51607, 52369, 50964, 51472, 52321, 56868, 52033, 51492, 51615, 52250, 51711, 52122, 50417, 51789, 50952, 52622, 50420, 51089, 50808, 51020, 72738, 52189, 60628, 54446, 51565, 51336, 52622, 74121, 55212, 51089, 74158, 65889, 51421, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51364, 51089, 57133, 74026, 53841, 51139, 79496, 74096, 60628, 54525, 51089, 74158, 72738, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51515, 50821, 51440, 50894, 51607, 50821, 63657, 71465, 50894, 51089, 74158, 50884, 51092, 51421, 56232, 51011, 59494, 50855, 51020, 66146, 52217, 60628, 50841, 67548, 51036, 51434, 52208, 51607, 51469, 51133, 50918, 67625, 55024, 51139, 73628, 54183, 51089, 57133, 72738, 52304, 60628, 75090, 53098, 51673 ]
[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 86, 6543, 9, 112, 73, 398, 4, 20, 2214, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 20183, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 2351, 41, 11653, 8, 822, 12, 3341, 5466, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57448, 50998, 52774, 50947, 50883, 52012, 51274, 51317, 51274, 50421, 51076, 57466, 51316, 51110, 50429, 51076, 52686, 74724, 50947, 51160, 52012, 51274, 50960, 51274, 50447, 51169, 53153, 51078, 52931, 58308, 52012, 51274, 51317, 51274, 75196, 50947, 51585, 50438, 50998, 51196, 50462, 61446, 70601, 58308, 50474, 51846, 51196, 50960, 51585, 50998, 51585, 75196, 51311, 53585, 51574, 51196, 50462, 51846, 50896, 56479, 58308, 50474, 51131, 51196, 51317, 51585, 50998, 51585, 75196, 51574, 53585, 51317, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 50947, 53585, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51274, 52012, 51585, 51317, 51585, 70814, 51078, 52247, 51169, 52309, 74724, 50998, 51196, 50462, 61446, 77389, 51316, 60814, 51316, 50896, 51846, 51196, 50998, 51196, 51540, 51076, 53765, 61446, 60511, 50947, 53585, 57360, 51311, 69562, 58308, 51169, 60306, 53092, 50896, 61446, 77389, 60511, 50474, 51574, 51196, 51078, 51196, 75196, 61446, 51136, 53585, 51846, 50896, 50998, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 63800, 50437, 51076, 54459, 50947, 54526, 51169, 60306, 60511, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 53794, 51169, 52931, 60183, 50462, 70696, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 57360, 50437, 51076, 53294, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 78019, 51316, 52322, 51292, 51196, 50462, 70601, 56767, 57360, 50474, 57360, 50960, 51196, 50476, 51078, 51285, 51540, 51067, 53765, 59364, 51786, 53585, 70601, 51574, 51196, 50947, 69562, 58308, 50462, 75193, 79655, 56479, 50468, 60183, 50474, 52012, 51585, 50960, 51585, 51076, 51585, 75196, 51131, 53585, 52012, 51196, 51317, 51196, 78963, 50474, 62569, 51540, 51316, 53765, 63800, 50437, 51076, 54459, 50947, 54526, 51169, 60306, 60511, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 53794, 51169, 52931, 60183, 50462, 70696, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 57360, 50437, 51076, 53294, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 78019, 51316, 52322, 51292, 51196, 50462, 70601, 56767, 57360, 50474, 57360, 50960, 51196, 50476, 51078, 51285, 51540, 51067, 53765, 59364, 51786, 53585, 70601, 51574, 51196, 50947, 69562, 58308, 50462, 75193, 79655, 56479, 50468, 60183, 50474, 52012, 51585, 50960, 51585, 51076, 51585, 75196, 51131, 53585, 52012, 51196, 51317, 51196, 78963, 50462, 58308, 50474, 50947, 51274, 52012, 51585, 50986, 51585, 50998, 51585, 70814, 51169, 52247, 50947, 53585, 51076, 51274, 51846, 51585, 50960, 51585, 50998, 51585, 50456, 60106, 50462, 63800, 50473, 51076, 50880, 50474, 55784, 51131, 51585, 50986, 51585, 50998, 51585, 50480, 70505, 51540, 50947, 52774, 51076, 52247, 51032, 52309, 51067, 52322, 51292, 60306, 51292, 60814, 51846, 51196, 50960, 51196, 51076, 51585, 75196, 51292, 51585, 50438, 51846, 51196, 50960, 51196, 51076, 51196, 50462, 51292, 60814, 51131, 51196, 51032, 51585, 50986, 51469, 75196, 51131, 53585, 57360, 52012, 51585, 50462, 50998, 51469, 50474, 50947, 51274, 51131, 51585, 50986, 51585, 70814, 51169, 52247, 50947, 53585, 51076, 51274, 51207, 51585, 50960, 51585, 50970, 51585, 50456, 55784, 50462, 51076, 60814, 60106, 50986, 51585, 50998, 51585, 50480, 51076, 50849, 51540, 51032, 52774, 51067, 52247, 51292, 52309, 51438, 52322, 51563, 60306, 51563, 52644, 50474, 51067, 52919, 75196, 57998, 78158, 50437, 51292, 54459, 51207, 51585, 50970, 51585, 51067, 51585, 50456, 60106, 50462, 51076, 60814, 50998, 51196, 51032, 51196, 75196, 50986, 53585, 51725, 51196, 50462, 64922, 51292, 60814, 51076, 51196, 51067, 51196, 75196, 56767, 63800, 51563, 50896, 50437, 51563, 54459, 51786, 51274, 78963, 51032, 51196, 50456, 68909, 50462, 56479, 64922, 51786, 60814, 50929, 51585, 50476, 51076, 51585, 50478, 51563, 51685, 51474, 50438, 51067, 51196, 50462, 56767, 63800, 51292, 60814, 50970, 51196, 78963, 51438, 51196, 75196, 59100, 57360, 51032, 53585, 50970, 51196, 78963, 51067, 51196, 50462, 59100, 57360, 51549, 60814, 50998, 51585, 50476, 51169, 51585, 50478, 51292, 51685, 51474, 50462, 51292, 60814, 51438, 51585, 75196, 51846, 50896, 56479, 51076, 53585, 51076, 51196, 51846, 51585, 50960, 51585, 50462, 62569, 51438, 60814, 51292, 51196, 75196, 61446, 57998, 50947, 53585, 51131, 51196, 50986, 51196, 78963, 50462, 65009, 57998, 58308, 51032, 60814, 50625, 51076, 51274, 73085, 50960, 51196, 50970, 51196, 51018, 50416, 51032, 56092, 51076, 59740, 50947, 59740, 51076, 61923, 51032, 52981, 51067, 52247, 79655, 57998, 58308, 50947, 53585, 51574, 50806, 62979, 54765, 51169, 52692, 52012, 51274, 50986, 51274, 50998, 51274, 50947, 51274, 75196, 51131, 53585, 52012, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 50947, 53585, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 50947, 51585, 50438, 50998, 51196, 50462, 61446, 58308, 50474, 51846, 50896, 50960, 51196, 50998, 51196, 51540, 51131, 53765, 65400, 56479, 50998, 53585, 79655, 50960, 51196, 50998, 69562, 52028, 60306, 51846, 50896, 56479, 58308, 50474, 51317, 51196, 50998, 51196, 51131, 51585, 75196, 50947, 53585, 50998, 51196, 50462, 58308, 50474, 51316, 51274, 52012, 51585, 51317, 51585, 70814, 51076, 52247, 50947, 53585, 51076, 50880, 52012, 51585, 50960, 51585, 50440, 50947, 67106, 51169, 64733, 50947, 61951, 51076, 54411, 50947, 72480, 51316, 64985, 51076, 67758, 50947, 63958, 51169, 50880, 50462, 51076, 50880, 50464, 50947, 50880, 50467, 51169, 50880, 50469, 50947, 50880, 50472, 51078, 50880, 50474, 50998, 51196, 52012, 51469, 51540, 70601, 50425, 51169, 53087, 51078, 51160, 56479, 50435, 50998, 52877, 51317, 51196, 50998, 51196, 50462, 61446, 77389, 51316, 60814, 58308, 51316, 50896, 51846, 51196, 51540, 51076, 53765, 61446, 60511, 50947, 53585, 57360, 51311, 69562, 51169, 60306, 53092, 50896, 61446, 77389, 60511, 50474, 51574, 51196, 51078, 51196, 75196, 61446, 51136, 53585, 51846, 50896, 50998, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 52610, 51169, 52931, 60183, 50462, 55784, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 58870, 50480, 51316 ]
[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 3459, 8669, 6, 38668, 9590, 6, 21072, 6, 8, 2724, 368, 31365, 25999, 4, 85, 34, 10, 7212, 20889, 9, 8783, 741, 1685, 6, 16, 11, 5, 762, 9, 163, 428, 538, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 25935, 1626, 227, 12608, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 57530, 50796, 50796, 50799, 55526, 50800, 51334, 51650, 51594, 53504, 52556, 50859, 51674, 50809, 51772, 52227, 52871, 51334, 52189, 57625, 50689, 50271, 50836, 51334, 50882, 51334, 50991, 51674, 50800, 51772, 78362, 55526, 56776, 58465, 52556, 50800, 51674, 50859, 51772, 52189, 53917, 51408, 50879, 52066, 50435, 50689, 50271, 54405, 51049, 54584, 50689, 50271, 50879, 51209, 50911, 51334, 50911, 52031, 50911, 51772, 50911, 55313, 61618, 50852, 52597, 58426, 50805, 51408, 50805, 51256, 50805, 51390, 50805, 52066, 51618, 54988, 54913, 50879, 52031, 50889, 51209, 51090, 51408, 50889, 51209, 55506, 50882, 51647, 55346, 54048, 51421, 58361, 52490, 52207, 50907, 50799, 55526, 50890, 53008, 50859, 51674, 51012, 51334, 51362, 51772, 51362, 55313, 53504, 55526, 50836, 52066, 50420, 51674, 51594, 54347, 55526, 50828, 51674, 51427, 63349, 55526, 52467, 58465, 55526, 50809, 53008, 51437, 54150, 52999, 50879, 51390, 50890, 51408, 53960, 64338, 51256, 58970, 51976, 54362, 79026, 51209, 51090, 52031, 50889, 51408, 50889, 55313, 77907, 54478, 54048, 51421, 56325, 52490, 56034, 51757, 52490, 53543, 51594, 52794, 50453, 51408, 50830, 51209, 50830, 51772, 50830, 52066, 50456, 54048, 51421, 56860, 52490, 50890, 52066, 68615, 51158, 52031, 51012, 55313, 56025, 51334, 51417, 51674, 50983, 78594, 52031, 51594, 54347, 52490, 50809, 52031, 51653, 52066, 51302, 58465, 52490, 52675, 52749, 52401, 50836, 52031, 50879, 52068, 50435, 51976, 65598, 51674, 51797, 50438, 52490, 50821, 51334, 51432, 52031, 50912, 51893, 55572, 51594, 52831, 52031, 50950, 51892, 50444, 51390, 50911, 51893, 51916, 54803, 51893, 51051, 51674, 51022, 71330, 52031, 59359, 67979, 51209, 60554, 51209, 51074, 52066, 50454, 51408, 59593, 52999, 50904, 52068, 50459, 52401, 50855, 51408, 51022, 51209, 50984, 52066, 68615, 50887, 51772, 64211, 58197, 52490, 50809, 51408, 51345, 51209, 51073, 51772, 61883, 51779, 60845, 52490, 54472, 51550, 50418, 54048, 54218, 52462, 55207, 51269, 50421, 57986, 57625, 52490, 50887, 54223, 53933, 50882, 50424, 52999, 53850, 52462, 50426, 51408, 50859, 51209, 50859, 51772, 53104, 50572, 56998, 52490, 50808, 51772, 62522, 51550, 50429, 52999, 58331, 54048, 52773, 54092, 53917, 52490, 53745, 50572, 75405, 51209, 54597, 52794, 50436, 52999, 50817, 51408, 52773, 51907, 55381, 52490, 55855, 68749, 52490, 53543, 52794, 50441, 51408, 50830, 51209, 50830, 51772, 50830, 51224, 60295, 51209, 50830, 51772, 53661, 52462, 50444, 54048, 61189, 54048, 52773, 54092, 57674, 52490, 50384, 54936, 59550, 52490, 54078, 60205, 53185, 50879, 51209, 50889, 51772, 50889, 51408, 50889, 52031, 55506, 57465, 53185, 55855, 51779, 50882, 53061, 50803, 55350, 55084, 50456, 52960, 59567, 52960, 52467, 52567, 53185, 54078, 50882, 50460, 53185, 54078, 50811, 50799, 52436, 50849, 52490, 50890, 51408, 51121, 51209, 51121, 51772, 51121, 55313, 55456, 53504, 52490, 50833, 52066, 50420, 52436, 50892, 52068, 50423, 52490, 50890, 51408, 50901, 74255, 51772, 50901, 63349, 52436, 53543, 58465, 52490, 51421, 52749, 52436, 50859, 52401, 50840, 51408, 50901, 51772, 50901, 74255, 52068, 50435, 52436, 50991, 51976, 53269, 52999, 53841, 51594, 52831, 51408, 50808, 51209, 50808, 51772, 51582, 54478, 52436, 51370, 54803, 50689, 50271, 50904, 51408, 50836, 51772, 50836, 51209, 52217, 52848, 52401, 54732, 59574, 54223, 51044, 54622, 50689, 50271, 50810, 51408, 50809, 51772, 50809, 51209, 51421, 54678, 52608, 50854, 52066, 50799, 52608, 50873, 55526, 50879, 51674, 50889, 51334, 50889, 51772, 50889, 55313, 50800, 51402, 54718, 52608, 50901, 77012, 54347, 55526, 50890, 63349, 52608, 50854, 52999, 50879, 51390, 50889, 51256, 50889, 51408, 55506, 58465, 51978, 51370, 54150, 52293, 51421, 55632, 51979, 51336, 52999, 54020, 51049, 53269, 52490, 50890, 51408, 51162, 51209, 51124, 51772, 51162, 55313, 52831, 52490, 50836, 52066, 51180, 56325, 52490, 50828, 54223, 55702, 51757, 52490, 50809, 51408, 50859, 51772, 50859, 51209, 54047, 51594, 52794, 50453, 52490, 51421, 50851, 51453, 54678, 52608, 50882, 52490, 50890, 52066, 50799, 52436, 50911, 51408, 51336, 51209, 51336, 51772, 51336, 55313, 56025, 52490, 51030, 78594, 52436, 54065, 50882, 51510, 60809, 52490, 54392, 52436, 54780, 58465, 50852, 66142, 52490, 54937, 52436, 50859, 52401, 50836, 52066, 50435, 52436, 50991, 51976, 54584, 52490, 55024, 51594, 61618, 50852, 52597, 52436, 50879, 51209, 50809, 51408, 50809, 51772, 51421, 50851, 51618, 54988, 52436, 51427, 50804, 59574, 54223, 51406, 55346, 51408, 50887, 51209, 50887, 51772, 52304, 71529, 50689, 50271, 54359, 52608, 53097, 51049, 50907, 50799, 52608, 50879, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 50800, 78594, 52608, 50879, 77012, 55884, 55526, 50890, 63349, 52608, 50849, 52999, 50879, 51390, 50889, 51408, 50889, 51256, 55506, 71646, 54150, 51978, 50911, 52293, 51421, 55632, 52999, 54020, 51049, 53269, 52608, 51090, 52490, 52773, 51594, 52831, 54048, 50887, 51408, 50809, 51772, 50809, 51209, 51421, 50851, 51180, 56325, 52999, 79716, 50800, 69787, 51772, 52227, 51757, 52490, 56776, 51594, 52794, 50453, 54048, 50800, 51408, 50859, 51209, 50859, 51772, 50859, 52066, 50456, 52436, 51012, 52068, 50459, 52999, 51179, 50851, 50799, 52436, 50911, 54048, 54020, 51594, 53504, 54048, 50840, 52066, 50420, 52436, 50882, 54048, 50836, 51209, 79716, 50836, 51772, 50836, 52068, 50423, 52436, 51653, 54048, 50809, 51408, 50833, 51209, 50833, 51772, 50833, 52066, 51302, 58465, 54048, 50890, 79529, 73083, 51772, 51373, 54150, 52436, 51012, 52068, 50435, 54048, 50858, 51408, 50874, 51209, 50886, 51772, 55503, 51049, 53269, 52436, 50911, 55313, 52831, 52293, 50890, 79529, 73083, 51772, 51373, 53743, 52436, 51496, 52490, 79374, 50447, 51408, 51178, 51209, 51178, 51772, 67300, 74780, 50882, 51647, 54622, 51408, 50855, 51772, 50855, 51209, 50855, 52068, 76362, 50799, 52608, 50882, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 53504, 52608, 51427, 52066, 50420, 77012, 54347, 55526, 50890, 63349, 52608, 50911, 52999, 53543, 58465, 51390, 50830, 51408, 50830, 51256, 50830, 74055, 51978, 50950, 52293, 51421, 54112, 51979, 51541, 52999, 54020, 51049, 53269, 52490, 50809, 51408, 51073, 51772, 51073, 51209, 51073, 55313, 52831, 54048, 50887, 51892, 51180, 54803, 52999, 52217, 52848, 52490, 50910, 51772, 62522, 59574, 54048, 51049, 54622, 52436, 50950, 51209, 50862, 52068, 50459, 52436, 50950, 52999, 50884, 51408, 51421, 50851, 50799, 52436, 51012, 52490, 54285, 51594, 53504, 52490, 50855, 52066, 50420, 52436, 50950, 51408, 50836, 51772, 50836, 51209, 52217, 55884, 52436, 51653, 52490, 50890, 51408, 50855, 51772, 50833, 51209, 50855, 52066, 51302, 58465, 52490, 50809, 73083, 79529, 51772, 51373, 54150, 52436, 51012, 52401, 52675, 55632, 51408, 50886, 51209, 50886, 51772, 54874, 51049, 53269, 53786, 51012, 52999, 53841, 51594, 52831, 79529, 73083, 51772, 51373, 54478, 53786, 53960, 56325, 50689, 50271, 50904, 51408, 51178, 51209, 51178, 51772, 51178, 50852, 51757, 53786, 51012, 52401, 54732, 51594, 52794, 51647, 54622, 52608, 50911, 50689, 50271, 50810, 51408, 50855, 51209, 50855, 51772, 50855, 52068, 76362, 50799, 52608, 50882, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 53504, 52608, 51427 ]
[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 16241, 212, 22052, 6, 13305, 6, 23338, 33518, 1264, 6, 3459, 8669, 6, 8, 21979, 9590, 45552, 833, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 14, 7630, 6568, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 2125, 24708, 1626, 149, 10, 33215, 13931, 9, 1918, 406, 6, 230, 10431, 119, 6, 8, 83, 6, 6946, 7, 63, 19448, 8, 8728, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 54389, 51343, 52806, 52069, 51660, 51714, 51929, 51945, 52361, 52069, 52331, 51124, 51729, 50955, 51350, 50897, 51781, 50978, 54924, 51801, 55321, 52204, 65359, 52069, 54227, 51714, 53037, 51945, 52840, 52069, 51479, 54987, 52954, 52302, 51729, 50864, 73264, 51781, 51589, 56368, 52954, 52976, 51729, 50845, 51350, 51100, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 50874, 61778, 78260, 53740, 55813, 51984, 68524, 50886, 80072, 51781, 54874, 54987, 52676, 51984, 50987, 51479, 52954, 54129, 51729, 51212, 51350, 51121, 51781, 51328, 51240, 52267, 53262, 50865, 51479, 56368, 52954, 55686, 52331, 53140, 51984, 50924, 51729, 50851, 51350, 50810, 51781, 54965, 50898, 55717, 52954, 54085, 52331, 54199, 53262, 50879, 51729, 50864, 51350, 50833, 51781, 50822, 57806, 53558, 50898, 56368, 52954, 56013, 52331, 51241, 55626, 72482, 50817, 54389, 51343, 52806, 51605, 51660, 51945, 51929, 51894, 52361, 51991, 51729, 51363, 51350, 51116, 51781, 51203, 57806, 51226, 65359, 51605, 54227, 51945, 53037, 51894, 52840, 51991, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51212, 51350, 51100, 51781, 51101, 52777, 55717, 52954, 54396, 61778, 55224, 52331, 53199, 56368, 52954, 55813, 51984, 50841, 51729, 50864, 80072, 51781, 54036, 54987, 52676, 51984, 50977, 51479, 54987, 52954, 54129, 51729, 50892, 51350, 50849, 51781, 50892, 57806, 58931, 52267, 53262, 50938, 55626, 53558, 50898, 56368, 52954, 55686, 52331, 50857, 57806, 69560, 53240, 50917, 51729, 50874, 51350, 50854, 51781, 56062, 50898, 55717, 52954, 54085, 52331, 61960, 52954, 54038, 53262, 50936, 51729, 50904, 73264, 51781, 50822, 61778, 51196, 51479, 53740, 53736, 52331, 51377, 51240, 52954, 50908, 54389, 51364, 52806, 51894, 51660, 52069, 51929, 51894, 52361, 51991, 51729, 50955, 51350, 50910, 51781, 50866, 65359, 51894, 54227, 52069, 53037, 51894, 52840, 51991, 51479, 54987, 52954, 52302, 51729, 50851, 80072, 51781, 51589, 56368, 52954, 52976, 51729, 50974, 51350, 50873, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 50813, 57806, 51508, 53740, 55813, 51984, 50836, 51729, 50886, 80072, 51781, 50822, 55626, 53558, 54987, 52676, 51984, 50942, 57806, 51226, 51479, 52954, 54129, 51729, 50892, 51350, 50805, 51781, 51212, 51240, 52267, 53262, 50917, 51479, 56368, 52954, 55686, 52331, 54004, 51984, 50938, 51729, 50822, 77071, 51781, 54965, 50898, 55717, 52954, 54085, 52331, 50862, 55626, 57175, 53262, 50936, 51729, 50955, 51350, 50925, 51781, 50955, 51479, 56368, 52954, 56013, 51170, 50817, 54389, 51274, 52806, 51991, 51660, 51714, 51929, 51894, 52361, 51894, 51729, 51233, 51350, 51100, 51781, 51043, 53979, 52500, 65359, 51991, 54227, 51714, 53037, 51894, 52840, 51894, 51479, 54987, 52954, 52302, 52331, 50987, 79989, 52954, 52976, 51729, 50892, 51350, 50849, 51781, 50845, 52777, 55717, 52954, 52265, 52331, 52873, 56368, 52954, 55813, 51984, 50836, 51729, 50857, 66098, 51781, 53877, 54987, 52676, 51984, 53095, 50898, 54987, 52954, 54129, 51729, 50892, 51350, 50873, 51781, 50892, 51240, 52267, 53262, 50938, 51479, 56368, 52954, 55686, 52331, 54004, 53240, 50878, 51729, 51212, 51350, 51100, 51781, 51212, 52777, 55717, 52954, 54085, 51170, 52954, 54038, 53262, 50921, 52331, 53097, 50898, 53740, 53736, 51240, 52954, 50908, 54389, 51343, 52806, 53380, 52361, 52919, 52043, 53363, 54050, 53753, 52331, 51162, 51729, 51363, 51350, 51124, 51781, 51363, 58943, 53002, 65359, 53380, 52840, 52919, 51971, 53363, 52943, 53753, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51177, 51350, 51111, 51781, 51101, 52777, 55717, 52954, 52265, 52331, 51373, 53740, 55813, 51984, 68524, 50886, 77071, 51781, 53877, 54987, 52676, 51984, 50987, 51479, 52954, 54129, 51729, 51212, 51350, 51111, 51781, 51212, 51240, 52267, 53262, 50865, 51479, 56368, 52954, 55686, 52331, 52843, 51984, 50924, 51729, 50955, 51350, 50897, 51781, 50955, 52777, 55717, 52954, 54085, 51726, 54583, 53262, 50879, 51729, 50959, 51350, 50925, 51781, 50955, 51479, 56368, 52954, 56013, 51170, 50817, 54389, 51343, 51729, 50955, 51350, 50897, 51781, 50878, 51479, 54987, 52954, 52302, 51729, 51142, 51350, 50955, 51781, 51006, 79989, 52954, 52976, 51729, 50974, 51350, 50805, 51781, 50845, 52777, 55717, 52954, 52265, 52331, 51589, 56368, 52954, 55813, 51984, 50841, 51729, 50874, 51350, 50854, 51781, 61413, 54987, 52676, 51984, 50977, 51479, 54987, 52954, 54129, 51729, 50838, 51350, 51177, 51781, 51212, 51240, 52267, 53262, 50938, 51479, 56368, 52954, 55686, 52331, 54086, 53240, 50917, 52361, 50813, 52043, 50840, 54050, 50844, 51729, 50933, 51350, 50833, 51781, 50905, 52840, 50813, 51971, 50840, 52943, 53887, 50898, 55717, 52954, 54085, 51170, 52954, 54038, 53262, 50936, 51479, 53740, 53736, 51240, 52954, 50908, 50799, 53262, 52195, 51944, 53082, 52361, 52826, 53335, 52826, 52807, 53413, 51990, 50981, 51729, 51412, 51659, 51480, 51355, 51203, 54924, 52250, 54598, 53082, 52840, 52826, 52678, 52826, 52235, 53413, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51328, 51659, 51101, 51355, 51101, 52777, 55717, 52954, 52265, 51990, 53111, 53740, 55813, 51868, 50840, 51729, 50864, 51659, 50857, 51355, 54355, 54987, 52676, 53262, 52773, 50898, 52954, 54129, 51729, 50892, 51659, 50901, 51355, 50901, 51240, 52267, 53262, 50806, 51479, 56368, 52954, 55686, 51990, 53938, 51868, 50930, 51729, 50912, 51659, 50827, 51355, 56062, 50898, 55717, 52954, 54085, 58226, 50977, 51990, 54232, 51729, 50904, 51659, 50867, 51355, 54036, 50898, 56368, 52954, 56013, 51868, 50809, 51990, 67195, 50817, 50799, 53262, 51472, 51729, 50959, 51659, 50866, 51355, 50878, 51479, 54987, 52954, 52302, 51729, 50874, 51659, 50844, 51355, 51373, 56368, 52954, 52976, 51729, 50974, 51659, 50845, 51355, 50845, 52777, 55717, 52954, 52265, 51990, 53330, 56368, 52954, 55813, 51868, 50887, 51729, 50851, 51659, 50822, 51355, 53877, 54987, 52676, 53262, 53345, 50898, 54987, 52954, 54129, 51729, 50905, 51659, 50845, 51355, 50845, 51240, 52267, 53262, 53841, 50898, 56368, 52954, 55686, 51990, 54276, 58226, 50810, 51729, 50822, 51659, 50942, 51355, 50942, 52777, 55717, 52954, 54085, 53262, 60855, 52954, 54038, 51868, 50952, 51990, 53933, 50898, 53740, 53736, 51240, 52954, 50908, 50799, 53240, 51472, 52806, 53082, 52361, 55392, 52043, 53082, 54050, 53849, 52331, 50981, 51729, 51412, 51350, 51221, 51781, 51363, 58943, 52024, 65359, 53082, 52840, 55392, 51971, 53082, 52943, 53849, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51328, 51350, 51177, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 53199, 53740, 55813, 51984, 50809, 51729, 50904, 51350, 50857, 51781, 54874, 54987, 52676, 53240, 53097, 50898, 52954, 54129, 51729, 51328, 51350, 51121, 51781, 51212, 51240, 52267, 53262, 50936, 51479, 56368, 52954, 55686, 52331, 54004, 51729, 50941, 51350, 50857, 51781, 54965, 50898, 55717, 52954, 54085, 51984, 50890, 52331, 54199, 53262, 50936, 51729, 50941, 51350, 50857, 51781, 56029, 50898, 56368, 52954, 56013, 52331, 59532, 50817, 54389, 51294, 51729, 51008, 51350, 50942, 51781, 50978, 51479, 54987, 52954, 52302, 51729, 50851, 51350, 50854, 51781, 50959, 79989, 52954, 52976, 51729, 50974, 51350, 50873, 51781, 50892, 52777, 55717, 52954, 52265, 51984, 50887, 52331, 52873, 56368, 52954 ]
[ 0, 250, 765, 15855, 5175, 2125, 11, 155, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 12608, 538, 6, 4246, 10, 13305, 816, 10, 881, 13931, 9, 12608, 6, 230, 119, 6, 163, 428, 401, 6, 12608, 6, 8, 163, 428, 406, 40286, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 2933, 6, 15352, 30054, 6, 8, 3722, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 73566, 51018, 51034, 51503, 51157, 69980, 54818, 50965, 50859, 63365, 50438, 50965, 50859, 50997, 51157, 51034, 50965, 50859, 51176, 51157, 62144, 74301, 76094, 50965, 50859, 51050, 51157, 76898, 51157, 50420, 51197, 56412, 51360, 51157, 51197, 51157, 51339, 51157, 62275, 51157, 51197, 51157, 51405, 51157, 51034, 51399, 52014, 50290, 51157, 51050, 51157, 50420, 51081, 56412, 50951, 52014, 50288, 51157, 51197, 51157, 50432, 51001, 50938, 50437, 51001, 53813, 51214, 50808, 51197, 50808, 74106, 50441, 51026, 65389, 67944, 55513, 64201, 66088, 79043, 50808, 51034, 50965, 51077, 51503, 52024, 70562, 72597, 51157, 63808, 50859, 51028, 50859, 51176, 51157, 51034, 62926, 51001, 50859, 51176, 72265, 50973, 64830, 50859, 51176, 51157, 62204, 78222, 50859, 51176, 51157, 51034, 51028, 50859, 75032, 51176, 51157, 56546, 78222, 50859, 51176, 76094, 50973, 64830, 50859, 51176, 51157, 77575, 64715, 51538, 51001, 51538, 56978, 56412, 51050, 56632, 51197, 57581, 51360, 60492, 51085, 50938, 72316, 64471, 52014, 50317, 61555, 51315, 52014, 50326, 56412, 51050, 64471, 52014, 50317, 56632, 51378, 52014, 50326, 57581, 51026, 64471, 51157, 51028, 74322, 51197, 50938, 77575, 73278, 64715, 50938, 56363, 52014, 50324, 50938, 53523, 73278, 64715, 56632, 51040, 52014, 50324, 50938, 55898, 73278, 72597, 51157, 61614, 50938, 71213, 64294, 64471, 50938, 58097, 75210, 56412, 51040, 52014, 50319, 50938, 56014, 64471, 57581, 51086, 64294, 60492, 50997, 74928, 51034, 51086, 65159, 50938, 56363, 68551, 56412, 51176, 60657, 56632, 51026, 64294, 57581, 51050, 73278, 60492, 51197, 64471, 50938, 51034, 51378, 73278, 51077, 60284, 56412, 51197, 64715, 51157, 50432, 51360, 57581, 51085, 64471, 51157, 51028, 74322, 51234, 50938, 51034, 51503, 64715, 51157, 51001, 51157, 50420, 51214, 56412, 51503, 52014, 50315, 51157, 50902, 51157, 50432, 51214, 57581, 51966, 64715, 51157, 51001, 74322, 51214, 50938, 51034, 51214, 52014, 50317, 51141, 50931, 67729, 51503, 52014, 50293, 56412, 51214, 56632, 51503, 52014, 50295, 64715, 51157, 51001, 76094, 51214, 60492, 51503, 52014, 50297, 52014, 50315, 67922, 50938, 51034, 51214, 64715, 51538, 51001, 51538, 50420, 51378, 56412, 51026, 56632, 51050, 57581, 51197, 60492, 51120, 50938, 64507, 52014, 50319, 61555, 51197, 75210, 56412, 51026, 76463, 50938, 56014, 52014, 50319, 57581, 50956, 67922, 50938, 58365, 64715, 50938, 51034, 51214, 67922, 50938, 56978, 76463, 56412, 51176, 52014, 50319, 56632, 51086, 67922, 50938, 55898, 64715, 50938, 57428, 52014, 50315, 50938, 51034, 50956, 64715, 51157, 55902, 50938, 53645, 64715, 51157, 64551, 50938, 55898, 64715, 51157, 55513, 50938, 51034, 50956, 50910, 51062, 52014, 50302, 51157, 50418, 50989, 62714, 51405, 50808, 64309, 68018, 51399, 52450, 50965, 52014, 50328, 56632, 50861, 52014, 50326, 57581, 51147, 63804, 50910, 50956, 51157, 50440, 51081, 57108, 51147, 65389, 50876, 60204, 50951, 76788, 74106, 51034, 51147, 52014, 50328, 73278, 72597, 51157, 50420, 51001, 56412, 50951, 52014, 50326, 68551, 51157, 50906, 51157, 50432, 51001, 57581, 51147, 52014, 50328, 73278, 72597, 74322, 51001, 50938, 77575, 52014, 50324, 52014, 50328, 50938, 56363, 52014, 50319, 50938, 53523, 75210, 52014, 50326, 56632, 51040, 52014, 50319, 57581, 51147, 52014, 50328, 68551, 74322, 51001, 50938, 51034, 50956, 64471, 52014, 50328, 52014, 50331, 50938, 58060, 52014, 50319, 56412, 51028, 52014, 50326, 52014, 50329, 56632, 50876, 52014, 50319, 57581, 50956, 50910, 67944, 50951, 52014, 50326, 50938, 50442, 51040, 60204, 51001, 50938, 68121, 50910, 75424, 50910, 51062, 52014, 50331, 50938, 50418, 51027, 62714, 51001, 77455, 51176, 56382, 51026, 50910, 51081, 52014, 50329, 50938, 50430, 51176, 58466, 51001, 78446, 51050, 56983, 51197, 50910, 50951, 52014, 50326, 50938, 50442, 51050, 60204, 51001, 76788, 51026, 50910, 77575, 50910, 51147, 52014, 50328, 50938, 50418, 50997, 62714, 51001, 50938, 63686, 56382, 51040, 75210, 52014, 50326, 56632, 50956, 52014, 50319, 50938, 57019, 52014, 50324, 52014, 50328, 50938, 58365, 52014, 50319, 50938, 51034, 50965, 52014, 50324, 52014, 50328, 61555, 50906, 52014, 50319, 56412, 50876, 75210, 52014, 50326, 56632, 51028, 52014, 50319, 57581, 50902, 52014, 50324, 52014, 50328, 60492, 51001, 52014, 50319, 50938, 51034, 50956, 50910, 74106, 71049, 51081, 69392, 66088, 74106, 69697, 51220, 60853, 50965, 50910, 67594, 72926, 51062, 56382, 51026, 50910, 50956, 50910, 51081, 52014, 50331, 50938, 50430, 51050, 58466, 51001, 78446, 51197, 56983, 51176, 50910, 75902, 51081, 52014, 50333, 50938, 50442, 51050, 60204, 51001, 76788, 51197, 50910, 75424, 50910, 51040, 50910, 51081, 52014, 50335, 50938, 50418, 51050, 62714, 51001, 77455, 51197, 56382, 51176, 50910, 75902, 51081, 52014, 50333, 50938, 50430, 51050, 58466, 51001, 78446, 51197, 56983, 51081, 51804, 50299, 50910, 50956, 50910, 51399, 50910, 51405, 69822, 51050, 50910, 51146, 60204, 51001, 63674, 51405, 50884, 51197, 50910, 51034, 51147, 52014, 50328, 52014, 50336, 61555, 51001, 52014, 50338, 56412, 50951, 52014, 50326, 52014, 50340, 56632, 51001, 52014, 50341, 57581, 51147, 52014, 50328, 52014, 50343, 60492, 51001, 52014, 50341, 50938, 51034, 51147, 52014, 50328, 52014, 50340, 61555, 51001, 52014, 50338, 56412, 50951, 52014, 50326, 52014, 50336, 56632, 51001, 52014, 50338, 57581, 51147, 52014, 50328, 52014, 50340, 60492, 51001, 52014, 50341, 50938, 51034, 51062, 52014, 50331, 52014, 50343, 61555, 51001, 52014, 50341, 56412, 51081, 52014, 50329, 52014, 50340, 56632, 51001, 52014, 50338, 57581, 50951, 52014, 50326, 52014, 50336, 60492, 51001, 52014, 50338, 50938, 51034, 51062, 52014, 50331, 52014, 50340, 61555, 51001, 52014, 50341, 56412, 51081, 52014, 50329, 52014, 50343, 56632, 51001, 52014, 50341, 57581, 50951, 52014, 50326, 52014, 50340, 60492, 51001, 52014, 50338, 50938, 51034, 51147, 52014, 50336, 52014, 50340, 61555, 50951, 52014, 50331, 56412, 50931, 52014, 50336, 52014, 50340, 56632, 51001, 52014, 50328, 57581, 51028, 52014, 50336, 52014, 50340, 60492, 50876, 52014, 50331, 50938, 51034, 51001, 52014, 50335, 52014, 50338, 61555, 51028, 52014, 50326, 56412, 50876, 52014, 50335, 52014, 50338, 56632, 50906, 52014, 50329, 57581, 50965, 52014, 50335, 52014, 50338, 50938, 58365, 52014, 50326, 50938, 78031, 52014, 50331, 52014, 50336, 61555, 50906, 52014, 50324, 56412, 50965, 52014, 50331, 52014, 50336, 56632, 50861, 52014, 50328, 50938, 57019, 52014, 50331, 52014, 50336, 60492, 50956, 52014, 50324, 50938, 77575, 52014, 50324, 52014, 50327, 50938, 56363, 52014, 50319, 56412, 51086, 75210, 52014, 50326, 56632, 51040, 52014, 50319, 57581, 50956, 52014, 50324, 52014, 50327, 60492, 51040, 52014, 50319, 50938, 51034, 51086, 52014, 50324, 52014, 50327, 50938, 56363, 52014, 50319, 56412, 51176, 75210, 52014, 50326, 56632, 50997, 52014, 50319, 57581, 51086, 52014, 50324, 52014, 50327, 60492, 51040, 52014, 50319, 50938, 51034, 50956, 52014, 50327, 52014, 50331, 61555, 51040, 52014, 50319, 56412, 51086, 52014, 50326, 52014, 50329, 56632, 50997, 52014, 50317, 57581, 51176, 75210, 52014, 50326, 60492, 50997, 52014, 50319, 50938, 51034, 51086, 52014, 50327, 52014, 50331, 61555, 51040, 52014, 50319, 50938, 56040, 52014, 50326, 52014, 50329, 56632, 51040, 52014, 50319 ]
[ 0, 713, 17627, 17274, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 41, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 2352, 6757, 6, 19, 32625, 2236, 1021, 2678, 29, 1271, 5581, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 230, 6, 211, 6, 272, 6, 230, 6, 8, 211, 4620, 5, 24456, 9, 42, 33928, 8859, 6, 1969, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56236, 52013, 63220, 52013, 66972, 52013, 53153, 52013, 50880, 62193, 56179, 51688, 51631, 51688, 52605, 51791, 51646, 51332, 51196, 58463, 50914, 78664, 50847, 58705, 50885, 55077, 55969, 50892, 62193, 56179, 51688, 53466, 51688, 52605, 51791, 52446, 51332, 51356, 50444, 53449, 50885, 65675, 57024, 50885, 56467, 55969, 50901, 62193, 57487, 51688, 51631, 51688, 53308, 51791, 51646, 51332, 52610, 51171, 56747, 57482, 55792, 50873, 64933, 67064, 51310, 50868, 51991, 51217, 56073, 50432, 51042, 54137, 51042, 56678, 59731, 51042, 55792, 54509, 50850, 53677, 64539, 51103, 52591, 50868, 51141, 50992, 51364, 50432, 51217, 55306, 51042, 53999, 51171, 56378, 72869, 70441, 55069, 50848, 56291, 56678, 50873, 62193, 57437, 51688, 53172, 51688, 53308, 51791, 51646, 51332, 51356, 58463, 50914, 50868, 68941, 55069, 50885, 56291, 57486, 50873, 62193, 57487, 51688, 51631, 51688, 52309, 51791, 52446, 51332, 67114, 50847, 57954, 65675, 61510, 50885, 55077, 54703, 50901, 62193, 52774, 51688, 54851, 51688, 52605, 51791, 51646, 51332, 55260, 51171, 62009, 60439, 57349, 50845, 64933, 51141, 50992, 51115, 50868, 51077, 51217, 53601, 50432, 51042, 55306, 51042, 61659, 55787, 79766, 51042, 54771, 51042, 61659, 75736, 51358, 56236, 50420, 51042, 61678, 51364, 50432, 51042, 55306, 51042, 51314, 50868, 50918, 50992, 66563, 51224, 50923, 51335, 50923, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 52299, 78880, 51882, 51045, 51855, 67721, 51882, 50940, 51855, 52422, 51164, 57245, 56743, 59140, 50923, 50427, 51882, 50921, 50428, 51855, 56896, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55580, 74439, 51855, 50940, 51882, 57581, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 57520, 50923, 50439, 51813, 51033, 52525, 51014, 50445, 51813, 51066, 52525, 56812, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 61254, 50457, 52456, 51454, 51813, 51454, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 59579, 50923, 50421, 51882, 54055, 51813, 61874, 51332, 67881, 57245, 59140, 57067, 58285, 50868, 64986, 51237, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 55580, 52322, 50964, 57825, 57816, 50868, 57954, 51097, 67478, 50847, 59124, 52982, 51332, 50995, 71432, 64583, 50816, 57241, 50885, 60046, 56785, 59847, 50807, 64584, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50923, 51882, 51014, 51855, 75832, 51855, 50858, 51882, 55889, 51164, 57245, 56743, 59140, 50923, 51855, 68315, 51882, 62019, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55580, 50911, 51855, 50952, 50433, 51882, 57626, 50988, 60871, 69139, 50988, 51115, 51042, 51115, 64851, 50953, 70312, 50923, 50439, 51813, 50950, 52525, 77762, 51813, 51735, 50445, 52525, 77225, 71432, 61542, 62254, 50816, 57241, 50988, 76026, 59718, 50974, 58918, 50457, 52456, 52208, 51813, 51184, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 57078, 50885, 50795, 51332, 51662, 50988, 51662, 50885, 51662, 50816, 57067, 58285, 50868, 64986, 51016, 68205, 50964, 54209, 54993, 50964, 73088, 57816, 50868, 55109, 51097, 67478, 50847, 59124, 50848, 54792, 57241, 50885, 59847, 56291, 56785, 50974, 64584, 59008, 50915, 62443, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50893, 51855, 50823, 51882, 64342, 51855, 73888, 51882, 52422, 51164, 57245, 56743, 59140, 50923, 50427, 51855, 50882, 51882, 57359, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55195, 50893, 51855, 50952, 51882, 58818, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 70312, 50923, 51813, 51045, 50439, 52525, 73136, 51813, 51012, 50445, 52525, 67876, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 63485, 51813, 51066, 50457, 52525, 51932, 61281, 50915, 51042, 50915, 65107, 51042, 51477, 50868, 51477, 50847, 51477, 51019, 73088, 50923, 50421, 51813, 50858, 52525, 52450, 51217, 50995, 79085, 63153, 50816, 50923, 51813, 51030, 50427, 52525, 57359, 51042, 55077, 54667, 50845, 51019, 52090, 50879, 52456, 51454, 50433, 51882, 52827, 50438, 50946, 51115, 75714, 76775, 51688, 51047, 51217, 51047, 50946, 51047, 51011, 73088, 57816, 52517, 50948, 51899, 50923, 50451, 53169, 51566, 50456, 50946, 59847, 60046, 50974, 70994, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 73181, 52088, 51045, 51855, 67721, 52088, 50882, 51855, 58216, 51164, 57245, 56743, 59140, 50923, 50427, 52088, 50882, 51855, 56896, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55195, 74439, 52088, 50948, 51855, 54930, 51217, 50915, 51042, 50915, 65107, 51042, 51115, 76775, 77543, 51019, 70312, 50923, 52456, 51014, 50439, 51813, 70378, 52456, 51072, 51813, 51932, 50450, 51217, 50995, 79085, 63153, 50816, 57241, 51042, 60046, 56785, 50974, 72488, 50457, 53169, 51454, 52456, 51055, 62193, 50915, 51217, 50915, 67034, 50946, 51477, 50885, 51477, 50868, 51477, 51069, 59579, 50911, 50421, 54744, 52311, 53169, 52536, 50426, 51688, 71898, 59467, 59140, 57067, 67034, 58285, 65107, 51688, 51318, 51217, 51318, 50946, 51318, 51069, 55580, 54993, 51069, 76721, 56646, 77456, 50885, 51097, 50868, 59124, 51688, 50995, 51217, 50995, 50946, 64989, 57241, 50946, 59847, 60046, 50974, 76008, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50911, 51335, 50923, 51855, 51045, 51882, 55573, 51855, 50940, 51882, 54149, 51164, 57245, 56743, 59140, 50923, 51855, 65001, 51882, 50894, 50431, 51855, 57647, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 54209, 50893, 51882, 59646, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 57393, 50923, 51813, 51033, 50439, 52525, 54952, 51813, 51735, 50445, 52525, 51500, 50450, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 58918, 50457, 52456, 51454, 51813, 51454, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 50911, 50421, 51882, 52266, 51813, 53174, 50426, 51332, 67881, 57245, 57245, 56649, 56087, 58285, 50868, 64986, 51016, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 54209, 54993, 50964, 57393, 57816, 50868, 57954, 51097, 67478, 50847, 59124, 50848, 51424, 50292, 50995, 71432, 64583, 50816, 57241, 50885, 59847, 55905, 56785, 50974, 58623, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 57393, 50911, 51855, 51045, 50415, 51882, 75832, 51855, 50940, 50421, 51882, 55889, 51164, 57245, 56743, 59140, 50923, 50427, 51855, 50821, 51882, 53917, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 54209, 50893, 51855, 50940, 50433, 51882, 59826, 50988, 60871, 69139, 50988, 51115, 51042, 51115, 64851, 50953, 73088, 50923, 50439, 51813, 51014, 52525, 51014, 50445, 51813, 51735, 52525, 51603, 50450, 71432, 61542, 62254, 50816, 56210, 50988, 76026, 59718, 50974, 61254, 50457, 51813, 52208, 52456, 52208, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 56346, 51332, 67881, 57245, 57245, 56649, 57067, 58285, 50868, 64986, 51016, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 54209, 54993, 50964, 57825, 56646, 50868, 57954, 51097, 67478, 50847, 59124, 50848, 51393, 50292, 50995, 71432, 64583, 50816, 57241, 50885 ]
[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 21979, 8669, 6, 17691, 28430, 6, 3459, 8669, 6, 8, 13602, 6757, 6, 19, 41, 21979, 9590, 1976, 5, 41063, 15796, 4811, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 6, 5, 2125, 29769, 198, 5, 40286, 272, 8, 230, 6, 61, 7230, 1328, 5, 2214, 6, 2351, 10, 32076, 8, 12298, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58375, 50796, 61627, 53160, 52192, 50909, 56391, 53160, 52460, 50935, 62214, 53160, 54532, 78656, 57342, 52519, 50420, 50850, 54278, 50847, 71895, 53160, 51447, 50438, 50848, 51447, 70173, 66368, 51753, 50450, 57230, 50456, 78005, 57732, 51524, 50885, 52263, 50872, 78377, 51332, 52598, 50432, 50848, 51542, 50438, 64804, 50868, 73196, 51332, 52441, 50450, 51042, 51709, 50456, 53160, 52407, 50847, 54344, 57342, 78377, 50850, 54278, 50847, 51310, 50432, 53160, 51679, 50438, 50848, 51535, 50444, 50850, 61637, 53160, 53674, 50456, 50872, 50905, 58402, 51042, 52263, 50420, 53160, 52256, 50848, 51419, 50426, 68161, 50432, 50847, 56656, 53160, 52598, 57403, 71320, 51784, 57486, 70347, 51900, 54180, 52192, 57732, 51448, 50415, 51802, 55419, 50868, 65933, 52285, 51173, 50847, 54342, 51784, 50943, 50868, 58087, 51332, 51878, 50847, 54947, 57835, 50450, 50847, 57092, 52278, 58310, 51824, 50799, 52355, 50924, 51164, 51477, 50420, 52355, 51158, 50872, 53161, 50426, 51784, 56548, 51481, 50432, 60490, 50433, 51900, 53912, 51164, 51679, 50872, 57997, 50885, 72887, 77934, 50451, 51802, 68179, 50885, 51470, 76309, 51016, 51332, 51448, 60474, 65933, 52285, 56625, 54342, 50868, 51166, 50433, 51784, 76094, 51332, 51878, 50847, 54947, 57835, 50450, 50847, 57092, 52278, 58310, 51824, 50799, 52355, 51013, 51164, 51477, 50420, 50872, 53161, 50426, 51784, 56244, 51481, 50432, 51900, 51013, 60490, 50438, 51164, 51679, 50872, 57997, 50885, 72887, 50946, 61703, 50885, 51470, 76309, 50910, 51332, 51448, 50420, 51802, 75736, 65933, 50847, 54342, 52285, 51060, 50868, 58087, 51332, 51878, 58876, 50439, 51900, 55451, 57835, 50450, 50847, 50972, 50451, 51784, 64713, 51802, 51162, 50885, 51824, 59008, 51477, 50420, 50872, 53161, 50426, 78110, 50432, 52285, 58649, 60676, 51900, 51013, 51164, 53674, 50885, 57997, 50872, 72887, 51784, 54180, 61703, 51900, 51359, 50946, 51470, 57746, 51283, 50935, 51172, 50420, 60179, 50426, 51007, 51481, 50432, 70173, 50438, 50988, 53280, 51042, 71892, 50847, 67042, 51007, 66913, 80231, 57746, 52256, 51042, 51642, 58082, 60316, 50847, 51797, 50432, 50848, 56692, 50988, 52519, 50444, 51042, 66809, 50847, 50974, 52078, 53697, 50456, 52285, 56954, 69510, 52285, 50808, 76309, 51016, 51332, 51448, 51150, 52727, 60474, 51470, 50929, 52062, 50426, 52285, 57753, 50905, 51032, 64003, 54221, 51784, 55787, 51166, 51292, 51318, 50438, 51332, 51878, 50847, 54947, 52278, 51100, 57835, 51032, 71320, 50847, 57948, 69305, 51292, 52048, 50456, 52278, 51177, 50885, 51824, 50799, 52355, 51016, 51164, 51477, 51140, 54829, 50420, 50872, 53161, 50970, 72599, 51784, 59590, 51481, 50947, 52482, 77501, 51900, 50889, 60490, 51032, 52168, 50438, 51164, 51679, 50872, 57997, 50885, 51470, 50947, 52519, 50450, 77934, 50970, 51380, 51140, 52397, 52470, 50456, 51802, 68156, 51470, 76309, 51013, 51332, 51448, 51150, 52528, 60474, 51470, 50929, 65435, 50847, 50905, 51032, 51412, 52470, 50427, 52285, 70756, 50868, 51166, 51292, 51466, 50433, 51784, 59306, 51332, 51878, 50847, 54947, 57835, 51563, 51277, 50445, 52278, 67081, 50847, 50972, 51292, 51108, 51150, 51738, 50791, 55370, 50885, 51824, 50458, 52278, 50830, 50799, 52355, 51158, 51164, 51477, 51140, 56329, 50420, 50872, 53161, 50422, 52355, 52710, 78110, 51438, 51662, 50791, 67322, 51784, 57943, 51900, 51294, 60490, 51032, 66916, 51164, 51679, 50872, 57997, 50885, 51470, 50947, 53562, 77934, 51032, 50932, 51140, 54344, 50791, 54900, 50885, 51470, 50457, 51802, 51346, 57732, 51448, 51150, 54829, 60474, 51470, 50929, 52519, 50421, 51802, 63963, 50847, 50905, 51292, 51939, 50791, 50874, 50428, 52285, 61690, 50868, 51166, 51032, 50932, 50437, 51900, 55965, 51332, 51878, 50847, 54947, 57835, 50929, 51312, 50449, 51784, 68366, 50847, 50972, 51032, 51709, 51150, 54344, 52068, 50455, 51802, 68862, 50885, 51824, 59008, 51477, 51140, 52136, 50420, 50872, 53161, 50970, 51592, 50424, 52285, 72598, 78110, 50947, 56329, 52470, 50432, 51900, 51218, 60490, 51032, 51328, 51216, 52147, 50438, 51164, 53674, 50885, 50972, 51438, 52136, 50444, 50872, 72887, 51784, 58239, 51058, 51032, 51174, 51892, 50456, 51900, 51675, 50946, 51470, 57746, 51283, 50935, 51172, 51098, 52256, 50420, 60179, 50929, 50863, 51076, 53881, 51007, 51481, 50929, 50941, 51076, 56423, 52739, 70173, 51076, 51534, 51067, 51043, 51389, 52980, 50435, 51784, 61842, 52824, 77787, 50988, 53280, 51042, 71892, 70984, 51438, 50857, 51067, 54185, 51007, 51242, 51438, 51199, 51067, 51775, 51892, 50456, 80231, 57746, 52256, 51042, 51642, 50929, 51961, 51098, 52256, 58082, 51174, 51067, 51542, 50426, 50847, 51797, 51076, 52460, 50791, 54221, 59762, 50929, 51314, 51098, 52519, 50438, 50988, 52519, 50444, 51042, 51277, 50445, 51950, 73319, 50847, 50974, 51098, 52996, 52558, 50456, 51950, 51196, 50848, 51126, 57732, 51448, 50998, 52407, 51150, 51490, 50903, 55869, 50868, 51470, 50929, 52062, 50426, 50847, 50905, 51292, 64003, 54221, 52285, 51364, 50868, 51166, 51032, 51412, 50438, 51332, 51878, 58876, 51150, 53892, 50903, 54682, 57835, 51032, 71320, 51950, 68941, 50972, 51292, 52048, 51098, 52056, 50791, 54900, 50885, 51824, 76309, 51016, 51164, 51477, 51438, 52441, 51140, 51637, 50903, 53004, 50872, 53161, 50970, 72599, 52285, 51060, 78110, 50947, 52482, 77501, 51784, 51191, 60490, 51032, 51679, 50438, 51164, 51679, 50872, 50972, 51140, 51709, 50903, 55368, 50885, 51470, 50947, 52519, 50450, 77934, 51032, 51738, 50970, 51380, 51098, 51330, 52470, 50456, 50885, 51470, 50799, 51950, 51073, 51332, 51448, 51292, 51333, 51150, 52136, 50903, 55650, 50868, 51470, 50929, 51333, 50424, 51802, 63963, 50847, 50905, 51032, 51412, 52470, 50432, 52285, 51364, 50868, 51166, 51292, 51466, 51150, 53577, 50438, 51332, 51878, 50847, 72900, 57522, 57835, 51563, 66809, 51950, 74515, 50972, 51292, 51576, 51150, 52034, 50791, 55370, 50885, 51824, 50461, 51802, 51016, 59008, 51477, 50947, 51330, 51140, 51381, 50903, 54202, 50872, 53161, 50426, 51784, 50952, 78110, 51438, 51662, 50791, 54221, 51784, 51351, 60490, 50947, 51466, 51140, 52441, 50438, 51164, 51679, 50872, 50972, 50903, 54394, 50885, 51470, 51032, 77072, 77934, 50947, 50932, 51140, 52048, 50791, 54900, 50885, 51470, 50799, 51950, 50983, 51332, 51448, 51032, 51466, 51150, 51965, 50903, 53738, 50868, 51470, 50929, 52519, 50426, 50847, 50905, 51292, 51939, 50791, 54221, 51802, 51158, 50868, 51166, 51032, 50932, 51216, 52256, 50438, 52285, 78648, 51878, 50847, 72900, 56069, 57835, 50929, 72380, 50847, 50972, 51032, 51709, 51098, 51108, 52068, 50451, 51950, 57024, 50885, 51824, 50929, 51174, 76309, 50805, 51164, 51477, 50970, 51592, 51140, 52256, 50903, 55650, 52285, 75345, 53161, 50426, 78110, 50947, 54228, 52470, 50432, 60490, 51032, 51097, 51216, 52136, 50433, 51900, 68499, 51164, 53674, 50885, 50972, 51438, 52136, 50903, 55368, 50872, 72887, 51784, 51111, 65999, 51032, 51481, 51140, 51330, 51892, 50456, 51900, 53090, 50946, 51470, 78673, 57746, 51283, 50935, 51309, 50929, 52256, 51098, 51637, 50903, 55650, 50847, 51470, 51076, 51423, 57189, 51365, 50935, 67814, 52063, 64059, 51067, 51806, 50791, 52739, 50848, 51365, 51076, 51172, 51438, 51309, 51389, 52441, 50438, 50988, 53280, 51042, 51254, 62587, 70984, 50903, 54947, 50847, 52192, 51438, 73580 ]
[ 0, 250, 15855, 822, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 9066, 2821, 16235, 4, 20, 6755, 12547, 8, 1515, 21305, 185, 5, 483, 6, 2800, 30, 13305, 6, 2342, 4467, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 230, 406, 6, 274, 119, 1176, 406, 6, 8, 163, 43531, 1176, 406, 4, 20, 15229, 18, 3722, 5581, 8, 5679, 26709, 13408, 146, 24, 157, 12, 9228, 4560, 13, 25306, 5422, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 51394, 52996, 51182, 52011, 51088, 51447, 51827, 51466, 52471, 51333, 53909, 51108, 50415, 51107, 52204, 50426, 51304, 51703, 51284, 51703, 51673, 51490, 53051, 51447, 53372, 51447, 50438, 51491, 51314, 50450, 51394, 51333, 51384, 51333, 51886, 51466, 53909, 51576, 54155, 51108, 50799, 51394, 52056, 51182, 51466, 51154, 51447, 51827, 52996, 52471, 51108, 53909, 51709, 50426, 51284, 51166, 51304, 51074, 51673, 52518, 53051, 51254, 53372, 66255, 51384, 51166, 51394, 52063, 51886, 52059, 53909, 51481, 54155, 52718, 51284, 51333, 51304, 51333, 51301, 51314, 51673, 51333, 53051, 50932, 53372, 58959, 51182, 52378, 51394, 51333, 51827, 51466, 52471, 51642, 53909, 51097, 70127, 51738, 51107, 52916, 51426, 55844, 51565, 51466, 52009, 52140, 52471, 60184, 51284, 51753, 51686, 51074, 53051, 55378, 51394, 51074, 51827, 51884, 53909, 54938, 51201, 51333, 51299, 55002, 51165, 51447, 51606, 51333, 52547, 58959, 51093, 51333, 51395, 51330, 52161, 51466, 53034, 51108, 51716, 51333, 63535, 51079, 51883, 51637, 51088, 52528, 51596, 51166, 52009, 77870, 51093, 51965, 51752, 52063, 51716, 51637, 50426, 51395, 51447, 51299, 51449, 52161, 51703, 53034, 76357, 51165, 52431, 52371, 52528, 52072, 52431, 50450, 51491, 51490, 51107, 51490, 51596, 52147, 52009, 51490, 51038, 50799, 57853, 50812, 52650, 51128, 50416, 53267, 51126, 50418, 52697, 58387, 53039, 73192, 54428, 65869, 54723, 56323, 51251, 51333, 50852, 51258, 52016, 65184, 51088, 51330, 57853, 50833, 50906, 51196, 59526, 51678, 58959, 51113, 62742, 51306, 51701, 53581, 51165, 51079, 52072, 50972, 68674, 51004, 63535, 51703, 51165, 53849, 51426, 52204, 51088, 52720, 64884, 50942, 51001, 51977, 59526, 52009, 51490, 50426, 50852, 55379, 51093, 51703, 64884, 52938, 50982, 51716, 51490, 50450, 50852, 73068, 50906, 50921, 70127, 52256, 51395, 52441, 55908, 50878, 50877, 58415, 51004, 52471, 51961, 50422, 50877, 51500, 50426, 50852, 51004, 50430, 51375, 51210, 51357, 51210, 52252, 51142, 50434, 51113, 51174, 51093, 53535, 50313, 51362, 50843, 51004, 51716, 70448, 51201, 51330, 51113, 51449, 55908, 53330, 50982, 52547, 51108, 50439, 51107, 52056, 50450, 51093, 51738, 51395, 66719, 78782, 51129, 53034, 51108, 66140, 51166, 51107, 51753, 51154, 51449, 51251, 55174, 78638, 69539, 58101, 50982, 52009, 51481, 50420, 51107, 51432, 51201, 51079, 52547, 50972, 50422, 50902, 51685, 50426, 51284, 52212, 51304, 51447, 50852, 51004, 53372, 67608, 51088, 52204, 78638, 52938, 54044, 51201, 51074, 51284, 73775, 51004, 53051, 51079, 50455, 51201, 51753, 52547, 77146, 51107, 51432, 68674, 51004, 79152, 52136, 51182, 51965, 51426, 51748, 68741, 52854, 51004, 52471, 51637, 50426, 50852, 56761, 51426, 51387, 51088, 51079, 51678, 50972, 50434, 50956, 56983, 51201, 51806, 51107, 51333, 51299, 51447, 68741, 73045, 51215, 59526, 52547, 51709, 67655, 52741, 51093, 51074, 51395, 64675, 54762, 51129, 53034, 57092, 51357, 51432, 51107, 51079, 52009, 50972, 50458, 50861, 56593, 51004, 66140, 51166, 51488, 51079, 51794, 51449, 51301, 51243, 57375, 50942, 50861, 51175, 59526, 52736, 59288, 51488, 51074, 51266, 50972, 52295, 67132, 51028, 51977, 50426, 51182, 51490, 51394, 51447, 50852, 51258, 53909, 67608, 57375, 51373, 67421, 51284, 51079, 53051, 55437, 51201, 64675, 51013, 50852, 51258, 50455, 51182, 51753, 52471, 77146, 51266, 51074, 50799, 51600, 52056, 51107, 51333, 52065, 51314, 51491, 52204, 51113, 51801, 59213, 53330, 51004, 53608, 51806, 50415, 50989, 51655, 50426, 51113, 51703, 51488, 51447, 50852, 51129, 52736, 67608, 51794, 51243, 50696, 50277, 53330, 54044, 51284, 51333, 51905, 51333, 50852, 51004, 55031, 51330, 68674, 51004, 50799, 51600, 51922, 59213, 50810, 52155, 51333, 54019, 51108, 58907, 50415, 51284, 51671, 53051, 51449, 50426, 52202, 51166, 54577, 62742, 54075, 52671, 51074, 54568, 54938, 52065, 51314, 50696, 50277, 50833, 51596, 52056, 52494, 79202, 53421, 52671, 51074, 54568, 62742, 54616, 52202, 51074, 54577, 51277, 68674, 60323, 51299, 51243, 51154, 52204, 50799, 56577, 50937, 51596, 51490, 52494, 51080, 50791, 54953, 50852, 54203, 57375, 50878, 50871, 51551, 51789, 51330, 52882, 64003, 54044, 51596, 51466, 52494, 63438, 51004, 68674, 60323, 51638, 52204, 67378, 55392, 57853, 59375, 53435, 51606, 52011, 51686, 51333, 52614, 61578, 53896, 51789, 52212, 51565, 52212, 50852, 51004, 50427, 52203, 67608, 57853, 55690, 54044, 51606, 51074, 51686, 51166, 52614, 55559, 56077, 51565, 51884, 51827, 51166, 52849, 51328, 50461, 51301, 52204, 50799, 64884, 50833, 51827, 51703, 51886, 51703, 59526, 50415, 53767, 51749, 63715, 50910, 56248, 66587, 67109, 50916, 56230, 54203, 51299, 55392, 64884, 67885, 51090, 51686, 51466, 51673, 51333, 52900, 71782, 53421, 51565, 51466, 51827, 52011, 50852, 51004, 50451, 52849, 51199, 50458, 50916, 50940, 50799, 51883, 51313, 55908, 50833, 50916, 51030, 51686, 51466, 51673, 51333, 52900, 51108, 58907, 50422, 50877, 51977, 50426, 51789, 52916, 51752, 52916, 50852, 51129, 50427, 52882, 52140, 50438, 55908, 52938, 65112, 51266, 51753, 50444, 53064, 69265, 51301, 72887, 51154, 51166, 51284, 51753, 51996, 51212, 50852, 56077, 51304, 50905, 51113, 52518, 52196, 50905, 68674, 50982, 50799, 51690, 51939, 78638, 50862, 51836, 51244, 59526, 50415, 51201, 52916, 51154, 52335, 51113, 51671, 51251, 51449, 52494, 54171, 63715, 61177, 50852, 51004, 50430, 50899, 57626, 78638, 66229, 50993, 52032, 58880, 53421, 51284, 51466, 52487, 50932, 52196, 63438, 66193, 50899, 71208, 50899, 50809, 50799, 52065, 51748, 52838, 55844, 70370, 78228, 58834, 51004, 50415, 51629, 53233, 51375, 52720, 51301, 52337, 52541, 51449, 50426, 50852, 51129, 50430, 50916, 68624, 50871, 63342, 54203, 51251, 51447, 70370, 68877, 70817, 54044, 50899, 51566, 50852, 51004, 50799, 51794, 52503, 57375, 51682, 50305, 51941, 53064, 51313, 58907, 50422, 54294, 51481, 51558, 51852, 50426, 50852, 51129, 50430, 52487, 51309, 51284, 51645, 50438, 52838, 51309, 51629, 51709, 57375, 51437, 51004, 50448, 51905, 70941, 51488, 56881, 51811, 63713, 51004, 50451, 51395, 50912, 50452, 51733, 66663, 51266, 50864, 52405, 68935, 51600, 50907, 52838, 63652, 52487, 50867, 51629, 50907, 68674, 60078, 51284, 50864, 54294, 65315, 51558, 61561, 56939, 50878, 50799, 51905, 50822, 50696, 50277, 53425, 50916, 55965, 50877, 52728, 50968, 50914, 50799, 51488, 51314, 51491, 51449, 51251, 52829, 60842, 50942, 50968, 51343, 50426, 50852, 51258, 50433, 50902, 53415, 51357, 51314, 60842, 50854, 50902, 51933, 59526, 50446, 53780, 51645, 50450, 50852, 79104, 52196, 51423, 68674, 51004, 50799, 51488, 51314, 51375, 55392, 70370, 53330, 51004, 50415, 52541, 53478, 50426, 50852, 55379, 51491, 51314, 51357, 51449, 70370, 52217, 71102, 50956, 52596, 50852, 51004, 50451, 50916, 66604, 50902, 50805, 50799, 51794, 51801, 51301, 52204, 57375, 53340, 51004, 50416, 51028, 51655, 50426, 50852, 67109, 50843, 54203, 51491, 51080, 51113, 51080, 70370, 50836, 53780, 51080, 50791, 53421, 50852, 51129, 50799, 51488, 51166, 51266, 51432, 51375, 51449, 57375, 50862, 52541, 51243, 50791, 54605, 51107, 51166, 51600, 51884, 50426, 51266, 51470, 50852, 51004, 50427, 51629, 57524, 51600, 51166, 50433, 51284, 71113, 51733, 55392, 51905, 56004, 70370, 51421, 54406, 50916, 67081, 50852, 66193 ]
[ 0, 250, 5679, 26709, 5175, 15229, 4246, 10, 6755, 12547, 6, 1481, 677, 2957, 16940, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 15054, 17838, 6, 2351, 10, 19448, 648, 2933, 5466, 20455, 9, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 23667, 2877, 9, 19376, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 163, 428, 6, 272, 119, 6, 8, 272, 119, 406, 428, 245, 73, 597, 1271, 7, 63, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 58402, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51299, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 51394, 50807, 51154, 51291, 62811, 50807, 57389, 50807, 50454, 51251, 50967, 50799, 53623, 50918, 51304, 51605, 57088, 51605, 61090, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51107, 51358, 56333, 51358, 59800, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51638, 50918, 50446, 51304, 50807, 51251, 51291, 57088, 50807, 61090, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51394, 51605, 62811, 51605, 57389, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51699, 50918, 50430, 51426, 56039, 51699, 50918, 50446, 51426, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51182, 51358, 55839, 51358, 59613, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 65085, 51251, 51291, 57016, 50807, 60187, 50807, 50454, 51887, 50967, 50799, 52481, 50918, 51395, 52045, 57644, 52045, 59470, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 51394, 50807, 51154, 51291, 62811, 50807, 57389, 50807, 50454, 51251, 50967, 50799, 53623, 50918, 51304, 51605, 57088, 51605, 61090, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51107, 51358, 56333, 51358, 59800, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51638, 50918, 50446, 51304, 50807, 51251, 51291, 57088, 50807, 61090, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51394, 51605, 62811, 51605, 57389, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51699, 50918, 50430, 51426, 56039, 51699, 50918, 50446, 51426, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51182, 51358, 55839, 51358, 59613, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 65085, 51251, 51291, 57016, 50807, 60187, 50807, 50454, 51887, 50967, 50799, 52481, 50918, 51395, 52045, 57644, 52045, 59470, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51395, 50807, 51426, 51291, 50454, 51638, 50967, 50799, 53623, 50918, 51395, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 53623, 50918, 51107, 51358, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 65085, 51426, 51291, 50454, 51299, 50967, 50799, 52776, 50918, 51395, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52776, 50918, 51165, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 51887, 50918, 51375, 51358, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 75840, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51375, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 70809, 51251, 51291, 50454, 51887, 50967, 50799, 52481, 50918, 51088, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 53599, 50918, 50422, 51638, 50918, 50430, 51794 ]
[ 0, 713, 17627, 17274, 3495, 2214, 6, 30291, 19, 232, 930, 16882, 6, 22750, 1626, 11098, 8, 7125, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 20902, 15229, 4246, 10, 11577, 11739, 9, 13305, 6, 21072, 6, 20535, 2810, 6, 32909, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 33215, 16739, 9, 211, 119, 6, 211, 406, 6, 272, 119, 6, 163, 428, 6, 8, 274, 3639, 7, 63, 15352, 30054, 2868, 6, 2351, 10, 1313, 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 ]	[ 50799, 50645, 50791, 50821, 51544, 79161, 50812, 52320, 50812, 52591, 51906, 50924, 51723, 51030, 53628, 52309, 51683, 50917, 51431, 50865, 52394, 59067, 51648, 50938, 51485, 50948, 52228, 56209, 52099, 50917, 51641, 50924, 52608, 57830, 51888, 50952, 51744, 51033, 52491, 50865, 52656, 51192, 51528, 55188, 50937, 51335, 50897, 53615, 70739, 50955, 51132, 50824, 51713, 51036, 51509, 51696, 51978, 51036, 52172, 51696, 51504, 50887, 75188, 50986, 50808, 50986, 50879, 51136, 50879, 50929, 50879, 51064, 50879, 51706, 51346, 51948, 51124, 55374, 61766, 51070, 50851, 66192, 51136, 50905, 65783, 51064, 50905, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51504, 50839, 63896, 51136, 50901, 65738, 51064, 50901, 51561, 50924, 53629, 50830, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51416, 50880, 50986, 50911, 51136, 50911, 71927, 51064, 50911, 59857, 51136, 51090, 50929, 51016, 51504, 51362, 51099, 51215, 53519, 50948, 51450, 66363, 51110, 51070, 50955, 51416, 51552, 74178, 51136, 50895, 50929, 50895, 51064, 53885, 51170, 50381, 56497, 60658, 50827, 50986, 50828, 51136, 66655, 50828, 51064, 50828, 51706, 50795, 51948, 50938, 55374, 52596, 51287, 51826, 63115, 51123, 51504, 50887, 67485, 75188, 80244, 50986, 51012, 51136, 51012, 50929, 51012, 51064, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 65930, 51136, 50849, 67291, 79400, 51708, 50807, 51578, 51157, 55165, 51157, 51528, 52715, 51100, 51070, 50955, 51132, 50824, 51504, 50839, 50986, 50879, 51136, 50879, 50970, 50879, 50947, 56179, 51170, 72560, 50897, 51070, 50851, 52099, 50865, 51641, 50948, 52608, 50948, 66192, 51136, 50905, 77661, 77458, 51561, 50849, 53629, 50938, 51544, 65072, 59345, 51022, 65373, 75188, 51504, 50800, 63896, 51136, 50901, 63960, 58993, 51099, 51294, 53519, 51362, 51974, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51416, 50882, 51648, 50865, 51485, 50936, 52228, 50938, 50986, 50911, 51136, 50911, 50970, 50911, 61734, 50970, 51016, 51136, 51226, 51504, 51294, 50986, 51091, 62434, 51014, 51782, 68817, 50805, 51070, 50955, 51416, 51761, 51683, 50805, 51431, 50893, 52394, 51158, 74178, 51136, 50895, 50970, 50895, 50947, 74440, 61944, 59345, 50827, 51906, 50795, 51723, 50893, 53628, 51173, 50986, 50828, 51136, 76769, 50828, 50947, 50828, 51708, 50917, 51578, 50800, 55165, 53639, 51240, 54262, 50608, 57047, 51123, 70952, 50970, 50880, 51504, 50858, 61270, 50986, 51012, 51136, 51012, 50970, 51012, 50947, 51012, 51706, 50830, 51948, 50812, 55374, 54418, 53005, 67822, 53277, 50608, 55237, 50941, 51913, 50812, 51898, 50800, 53880, 50936, 65930, 51136, 50849, 68859, 70696, 52040, 50952, 52461, 50808, 58889, 50812, 51528, 55188, 50937, 53615, 70739, 50955, 51526, 51072, 52002, 51091, 52067, 51226, 52172, 51541, 53979, 51090, 51246, 50938, 59241, 50970, 50879, 50947, 50879, 51032, 50879, 51280, 51159, 51837, 50901, 53481, 55099, 51070, 50851, 64484, 50970, 61793, 50838, 71314, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51246, 50836, 64856, 63557, 77661, 77458, 77667, 51144, 50938, 52709, 50910, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51132, 50811, 52366, 51204, 52336, 51362, 52436, 50896, 52833, 51294, 54765, 50970, 50911, 61734, 74731, 50960, 51091, 50970, 51091, 50947, 51294, 51246, 51091, 51119, 50873, 57473, 50825, 55165, 50924, 51450, 66363, 51110, 51070, 50955, 73646, 50960, 50884, 50970, 50895, 50947, 50895, 51032, 53885, 51170, 50381, 56497, 60658, 50827, 50960, 50841, 50970, 50828, 50947, 50828, 51032, 50828, 51198, 50937, 52353, 50878, 59150, 57006, 51287, 51826, 63115, 51123, 51713, 51036, 51509, 51469, 51978, 52392, 52436, 52392, 50970, 50887, 66483, 75727, 51246, 50830, 50960, 50923, 50970, 51012, 50947, 51012, 51032, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 63557, 77661, 77458, 77667, 51280, 51377, 51837, 51377, 53481, 51116, 51528, 52715, 51100, 51070, 50955, 51526, 51066, 69125, 59241, 50970, 50879, 50947, 50879, 51032, 56179, 51170, 72560, 50897, 51070, 50851, 64484, 50970, 61793, 50838, 71314, 51144, 50977, 52709, 50854, 51544, 65072, 59345, 51022, 79764, 65498, 63557, 77661, 77458, 77667, 51119, 50925, 55165, 50812, 51974, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51132, 51010, 54765, 50970, 50911, 61734, 74731, 56767, 50960, 51204, 50970, 51362, 51246, 51294, 51280, 51124, 51837, 51255, 53481, 59067, 50816, 51014, 51782, 68817, 50805, 51070, 50955, 73646, 50960, 50884, 50970, 50895, 50947, 50895, 51032, 74440, 61944, 59345, 50827, 50960, 50841, 50970, 50828, 50947, 50828, 51032, 50828, 72157, 52709, 50834, 55165, 54208, 51240, 54262, 50608, 57047, 51123, 51246, 50859, 73127, 73635, 70541, 50960, 50923, 50970, 51012, 50947, 51012, 51032, 51012, 51280, 50808, 51837, 50812, 53481, 52955, 53005, 67822, 53277, 50608, 55237, 50941, 63557, 77661, 77458, 77667, 51280, 50800, 51837, 50854, 53481, 50833, 51528, 55188, 50937, 53615, 70739, 50955, 51349, 50824, 65373, 75187, 51136, 57484, 50879, 50947, 50879, 51032, 56179, 51070, 50851, 52306, 50924, 52629, 50936, 52380, 50940, 65904, 60384, 73126, 71314, 51561, 50940, 53629, 50859, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51131, 50840, 68828, 51136, 50974, 65783, 77458, 77667, 51099, 50924, 53519, 50910, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51349, 51059, 52366, 50952, 52336, 50921, 52436, 50936, 60494, 71927, 61734, 74731, 50986, 51091, 51131, 51294, 50929, 51274, 51136, 52195, 51280, 50795, 51837, 50805, 53481, 50805, 51450, 66363, 51110, 51070, 50955, 52002, 50879, 52067, 50806, 52172, 50893, 51136, 50884, 50929, 50895, 50947, 50895, 51032, 53885, 51170, 50381, 56497, 60658, 50827, 51776, 50924, 51579, 50936, 51979, 50936, 51136, 50841, 50929, 50828, 50947, 50828, 51032, 50828, 51561, 50865, 74383, 53629, 50830, 53519, 58138, 51287, 51826, 63115, 51123, 51533, 51066, 51131, 50910, 71716, 51136, 50923, 50929, 51012, 50947, 51012, 51032, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 52578, 50948, 52314, 51021, 52891, 51030, 51131, 50839, 50986, 50808, 51136, 50974, 65783, 77458, 77667, 51198, 51116, 52353, 51178, 59150, 51095, 51528, 52715, 51100, 51070, 50955, 51181, 51059, 59241, 51078, 50879, 50947, 50879, 51032, 56179, 51170, 72560, 50897, 51070, 50851, 51963, 50865, 52039, 50948, 54512, 50806, 64484, 51078, 61793, 50838, 71314, 51494, 50938, 54513, 50833, 51544, 65072, 59345, 51022, 51131, 50833, 75341, 63557, 78465, 77458, 77667, 79408, 55165, 51628, 50798, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51181, 50860, 51913, 51158, 51898, 51192, 53880, 51175, 54765, 51078, 50911, 61734, 74731, 50986, 51091, 50960, 51294, 51131, 51294, 51078, 51294, 51198, 51400, 52353, 51110, 59150, 51100, 62434, 51014, 51782, 68817, 50805, 51070, 50955, 51349, 51454, 51906, 50924, 51723, 51030, 53628, 50893, 50960, 50884, 51078, 50895, 50947, 50895, 51032, 74440, 61944, 59345, 50827, 51648, 51100, 51485, 51060, 52228, 50879, 50960, 50841, 51078, 50828, 50947, 50828, 51032, 50828, 51708, 50840, 51578, 50846, 55165, 53057, 51240, 54262, 50608, 57047, 51123, 51602, 50993, 50960, 50887, 51131, 50858, 61270, 50960, 50923, 51078, 51012, 50947, 51012, 51032, 51012, 52477, 50887, 52381, 50887, 57473, 54166, 53005, 67822, 53277 ]
[ 0, 4688, 20425, 5175, 3836, 2214, 4246, 38668, 20535, 6, 6755, 12547, 6, 16867, 6, 20535, 483, 6, 8, 38668, 9590, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 9, 19446, 163, 5683, 6, 19, 5, 33215, 16739, 381, 406, 8, 272, 73, 250, 8165, 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 ]	[ 54458, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 53260, 52972, 51759, 50908, 52016, 52017, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50974, 55052, 58453, 62131, 54446, 54029, 58188, 52992, 52987, 50905, 53714, 50901, 52408, 50901, 53190, 50901, 52751, 50838, 53431, 56396, 51187, 58388, 52844, 52987, 52168, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 53486, 50852, 73189, 51170, 59347, 51170, 59131, 51170, 57540, 51170, 53040, 51971, 51175, 51584, 52722, 51902, 52722, 52075, 52722, 66300, 56198, 54586, 51170, 54778, 61970, 51971, 51294, 50852, 54763, 53595, 53431, 56396, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 75497, 51240, 59546, 51240, 50891, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 56837, 50833, 53260, 52972, 51759, 50908, 52016, 52017, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50974, 55052, 58453, 62131, 54446, 54029, 58188, 52639, 52987, 50905, 53714, 50901, 52408, 50901, 53190, 50845, 52751, 50838, 53431, 56396, 51187, 58388, 52844, 52987, 51680, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 54829, 50852, 73189, 51170, 56516, 51170, 59131, 51170, 57514, 51170, 53040, 51971, 51175, 51584, 52722, 51902, 52722, 52075, 52722, 66300, 57071, 55933, 51170, 54778, 61970, 51971, 51362, 50852, 54763, 53595, 53431, 57517, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 68430, 51240, 61969, 51240, 50891, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 56837, 50812, 53260, 53632, 51759, 50908, 52016, 51469, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50838, 55052, 58453, 62131, 53744, 54029, 58188, 52992, 52987, 50905, 53714, 50873, 52408, 50845, 53190, 50901, 52751, 50838, 53431, 56340, 51187, 58388, 52844, 52987, 52168, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 54829, 50852, 73189, 51170, 59347, 51170, 59131, 51170, 57514, 51170, 52600, 52678, 51158, 51902, 53700, 52075, 53700, 52792, 53700, 66300, 56198, 55933, 51170, 54778, 61970, 52678, 51941, 50852, 54763, 53595, 53431, 57517, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 68430, 51240, 61969, 51240, 50891, 69036, 55580, 51759, 50908, 52906, 62131, 53744, 50852, 52639, 52645, 50975, 53431, 56340, 51187, 58388, 52844, 50852, 73189, 51170, 59347, 51170, 60591, 51170, 57540, 51170, 52600, 53386, 51072, 56498, 53778, 50949, 54268, 53325, 52235, 50879, 50920, 53528, 50920, 53057, 53386, 51735, 51525, 56289, 52793, 54119, 50841, 54287, 53685, 52678, 51215, 50843, 52786, 50883, 55975, 52786, 50817, 52308, 50275, 57520, 55453, 55927, 53378, 55772, 51971, 51290, 53378, 56138, 51135, 60991, 52408, 50904, 61236, 51525, 54739, 51463, 51437, 58832, 53378, 53998, 52475, 51407, 53378, 55316, 54497, 56356, 52408, 57072, 52600, 51320, 57502, 53378, 54305, 52235, 50893, 53378, 51559, 54497, 56156, 52408, 52800, 51525, 54749, 51463, 51406, 61362, 52678, 51238, 53378, 54319, 53378, 53340, 53301, 56924, 52408, 57812, 50820, 52308, 50275, 51029, 51971, 51013, 54958, 51005, 55265, 53378, 54507, 53378, 52675, 54497, 55893, 52408, 50840, 58522, 51525, 54749, 51463, 51467, 58832, 53378, 52359, 52475, 51407, 53378, 52304, 54497, 53593, 52408, 54078, 52909, 52600, 51320, 57502, 53378, 54815, 53378, 51864, 54497, 54739, 53851, 52408, 50930, 60899, 51525, 54739, 51463, 51467, 61362, 53378, 56354, 53378, 52853, 54497, 54943, 51971, 50890, 52408, 70160, 50835, 60139, 51029, 51992, 50858, 50661, 50351, 51589, 58597, 50817, 57727, 53073, 58684, 51274, 61610, 52570, 59049, 53073, 50417, 52648, 57188, 51992, 50884, 52648, 50962, 75879, 55999, 54497, 54579, 51992, 50952, 52117, 55447, 50661, 50344, 50955, 51525, 54749, 51463, 51467, 58832, 51971, 50940, 52648, 54053, 53386, 51407, 52648, 50880, 78632, 56835, 54497, 50846, 70730, 56300, 50435, 51992, 50952, 52117, 54459, 80215, 50987, 51320, 56432, 52235, 50858, 52648, 54815, 52648, 50887, 64495, 61098, 54497, 55354, 53399, 51227, 52117, 55268, 62527, 50978, 51525, 54739, 51463, 51406, 61362, 52648, 55433, 65953, 58997, 53021, 54497, 54370, 52117, 50840, 60139, 51029, 62527, 50978, 54958, 51005, 55265, 52648, 54507, 52648, 50836, 64495, 56835, 54497, 54069, 52117, 50836, 61236, 80215, 50955, 51525, 54739, 51463, 51437, 58832, 52648, 54216, 53386, 50802, 52648, 50862, 78632, 53199, 54497, 54665, 52117, 57812, 52621, 52660, 50802, 50661, 50344, 53983, 50898, 57502, 52648, 53524, 53386, 51012, 52235, 51215, 52648, 50813, 75879, 51589, 54497, 54926, 52117, 51559, 53068, 52587, 50802, 50661, 50351, 54023, 50559, 54749, 51463, 51467, 61362, 52678, 51235, 52648, 54199, 52713, 50923, 52648, 53065, 53301, 54625, 52117, 50867, 52308, 50275, 51029, 51971, 51073, 54958, 51005, 55265, 53378, 55394, 53378, 53065, 54497, 53744, 52408, 50867, 61236, 51525, 54749, 51463, 51467, 58832, 53378, 53860, 52475, 51407, 53378, 53111, 54497, 54487, 52408, 58122, 52600, 51320, 56432, 53378, 53524, 52235, 50879, 53378, 53340, 54497, 54847, 52408, 50862, 59848, 51525, 54739, 51463, 51467, 61362, 52235, 51235, 53378, 54583, 53378, 52873, 53301, 54814, 52408, 57812, 50820, 52308, 50275, 51029, 53399, 53734, 58597, 55265, 53378, 54402, 52678, 50879, 53378, 52675, 54497, 54316, 52408, 50836, 58522, 52235, 51013, 51525, 54739, 51463, 51467, 58832, 53378, 53810, 52475, 51407, 53378, 51421, 54497, 54002, 52408, 52467, 52909, 53040, 51320, 57502, 53378, 55489, 53378, 52304, 56583, 52087, 54525, 52408, 54755, 51525, 54749, 51463, 51467, 61362, 53378, 54663, 53378, 57148, 51464, 60451, 52408, 58724, 50825, 60139, 51029, 51992, 50895, 50661, 50351, 53199, 58597, 50817, 57727, 53073, 58684, 51274, 61610, 53601, 59049, 53501, 50417, 51992, 50858, 52648, 57242, 52648, 50962, 75879, 55999, 54497, 54477, 51992, 50924, 52117, 55447, 50661, 50344, 50959, 51525, 54749, 51463, 51467, 58832, 51971, 50924, 52648, 55736, 53386, 51407, 52648, 51010, 78632, 61098, 54497, 50841, 70730, 52903, 50435, 51992, 50893, 52117, 70160, 52766, 80215, 50978, 51320, 56432, 52235, 50924, 52648, 52940, 52648, 50811, 64495, 61098, 54497, 54926, 53399, 51227, 52117, 52768, 62527, 50987, 51525, 54739, 51463, 51467, 61362, 52648, 56354, 52648, 50930, 58997, 54265, 54497, 54814, 52117, 58724, 50835, 60139, 51029, 62527, 50987, 54958, 51005, 55265, 52648, 55180, 52648, 50887, 64495, 56835, 54497, 54069, 52117, 50887, 61236, 80215, 50959, 51525, 54739, 51463, 51437, 58832, 52648, 53810, 53386, 50802, 52648, 50836, 78632, 53199, 54497, 54002, 52117, 57047, 52600, 52660, 50802, 53399, 51175, 50661, 50344, 52923, 50898, 57502, 52648, 54247, 53386, 51012, 52648, 50813, 75879, 51589, 54497, 54926, 53085, 51215, 52117, 52800, 52587, 50802, 50661, 50351, 52346, 50559, 54749, 51463, 51406, 61362, 52648, 54199, 52713, 50923, 53727, 50948, 52648, 54738, 51406, 57841, 52117, 57194, 50825, 60139, 50975, 53727, 51896, 50798, 52885, 50846, 52233, 51036, 52091, 51655, 51678, 53073, 50415, 51301, 52311, 50420, 55668, 52502, 51135, 60991, 53354, 51179, 52992, 52587, 64825, 54739, 51463, 51467, 58832, 55668, 52927, 53354, 51239, 54497 ]
[ 0, 250, 19448, 5175, 25771, 2214, 4246, 4401, 757, 3178, 6, 1893, 43639, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 10686, 13, 822, 4, 590, 10, 7212, 20889, 9, 16491, 741, 1685, 6, 24, 18, 11, 204, 73, 306, 86, 8, 5, 762, 9, 230, 538, 6, 21437, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 230, 6, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50913, 55376, 50913, 52639, 50913, 55477, 50913, 52417, 50913, 52600, 50913, 55698, 50913, 52725, 50913, 55223, 50913, 52579, 50913, 50820, 51528, 52755, 62793, 53745, 50572, 50955, 50415, 50913, 53223, 52428, 52439, 53450, 50913, 65233, 50378, 63599, 53513, 51925, 50379, 53221, 50955, 51450, 52755, 65233, 53745, 50572, 63959, 53257, 54004, 50913, 78846, 54023, 50612, 53920, 51925, 78829, 50878, 51528, 52755, 50379, 53746, 58370, 68621, 50913, 53223, 52428, 52439, 67614, 55440, 50913, 65233, 50378, 63599, 52658, 51925, 50379, 63599, 67614, 60157, 52365, 50810, 51450, 52502, 50379, 53746, 58370, 53745, 50572, 58991, 52365, 52843, 50913, 65233, 53920, 59896, 72078, 78829, 50878, 50799, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 50878, 50415, 50913, 53223, 58508, 50860, 52243, 52439, 52654, 50913, 65233, 50378, 63599, 52658, 59896, 72078, 50379, 53221, 58927, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 63634, 58508, 50860, 53257, 54276, 50913, 78846, 53597, 50612, 53920, 58508, 50802, 51925, 78829, 50942, 50799, 56849, 50860, 52243, 50875, 50379, 53746, 53597, 50612, 68621, 50913, 53223, 58508, 50860, 52243, 52439, 53597, 50572, 57629, 58508, 63724, 65233, 50378, 63599, 53911, 59896, 72078, 50379, 53221, 58927, 58508, 53236, 52245, 65233, 53745, 50572, 63634, 58508, 54554, 50913, 50379, 53746, 53597, 50612, 53920, 55807, 72078, 78829, 50942, 50799, 56228, 53236, 52245, 65233, 53745, 50572, 50925, 50415, 50913, 53223, 56228, 53236, 61526, 53049, 50913, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 53221, 58866, 56228, 53236, 52245, 65233, 53745, 50572, 62063, 56228, 50860, 53257, 53639, 50913, 78846, 53376, 50612, 53920, 56228, 50802, 51925, 78829, 50925, 50799, 55398, 50860, 52613, 50875, 50379, 53746, 53376, 50612, 68621, 50913, 53223, 56228, 50860, 52613, 53746, 78829, 65647, 52365, 53049, 56228, 63724, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 54502, 78829, 58866, 56228, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 56228, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 59896, 50860, 53257, 52757, 50612, 78829, 50897, 50799, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 79069, 50913, 53223, 58508, 50860, 52613, 52439, 52710, 50913, 65233, 50378, 63599, 52749, 59896, 72078, 50379, 53221, 56057, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 58508, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 58508, 50802, 51925, 78829, 50897, 50799, 56849, 50860, 52615, 50875, 50379, 53746, 52757, 50612, 68621, 50913, 53223, 58508, 50860, 52615, 53746, 63838, 68018, 52365, 52450, 58508, 63724, 65233, 50378, 63599, 52559, 59896, 72078, 50379, 54502, 63838, 56983, 58508, 50860, 52615, 50875, 65233, 53745, 50572, 60204, 58508, 50860, 53257, 52741, 50913, 78846, 52476, 50612, 53920, 55807, 50860, 53257, 52476, 50612, 78829, 50910, 50799, 56228, 50860, 52615, 50875, 71958, 77290, 50913, 53223, 56228, 53236, 53516, 55398, 54684, 55398, 55276, 55398, 50860, 52615, 79052, 56843, 56677, 54554, 58865, 55273, 55398, 51184, 50799, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 51014, 50416, 50816, 52432, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50802, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 55807, 51009, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 78934, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56228, 50917, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 50860, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 56228, 50860, 78934, 50865, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51066, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 50937, 78934, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 56677, 51066, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 55398, 50860, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56228, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 58508, 51300, 50663, 50290, 50865, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 51066, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 50663, 50290, 50865, 53350, 50937, 54453, 50937, 53368, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51059, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50860, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 56228, 50860, 52564, 51377, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 55807, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 55807, 51066, 50663, 50285, 50865, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 50937, 50663 ]
[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 8, 5175, 2214, 4246, 10, 13305, 6, 16224, 1097, 483, 6, 33704, 5675, 22052, 6, 2236, 1021, 2678, 29, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 13950, 741, 1685, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 6, 3676, 406, 6, 8, 1918, 406, 3639, 7, 5, 2214, 18, 33558, 8, 2365, 619, 6, 442, 24, 1969, 13, 10, 3143, 9, 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 ]	[ 56236, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 53465, 52337, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 51358, 52537, 51358, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50839, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 50891, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 50918, 52537, 50918, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 55760, 50795, 51964, 50795, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 56387, 50983, 52176, 50983, 66780, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 66780, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 66780, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 56387, 50807, 52176, 50807, 67334, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 58001, 50807, 52533, 50807, 51144, 78922, 51489, 50807, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 52785, 50918, 51876, 50918, 51144, 50918, 51119, 50918, 51153, 52382, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 51094, 50273, 51364, 52684, 51939, 56578, 51470, 57976, 51254, 56430, 51470, 62393, 53576, 56578, 51470, 57976, 51470, 56430, 51254, 50856, 52870, 56578, 50977, 57976, 50917, 56430, 58224, 52893, 52667, 52785, 50795, 51876, 50795, 51280, 50795, 66780, 63439, 58154, 50924, 56578, 51166, 57976, 51079, 56430, 51166, 63405, 53116, 52785, 50807, 51876, 50807, 51280, 50807, 67334, 78582, 58154, 50924, 56578, 51470, 57976, 51254, 56430, 51470, 62393, 53239, 58154, 50879, 56578, 51470, 57976, 51470, 56430, 51254, 50856, 53083, 53366, 50807, 51869, 50807, 78261, 71269, 51429, 50807, 51844, 50924, 54008, 51097, 56314, 50977, 54826, 50977, 59443, 69234, 54528, 53390, 52270, 52193, 51181, 50924, 56314, 51470, 59443, 50891, 59443, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 54062, 52337, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 51358, 52537, 51358, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 51374, 50924, 56941, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 50918, 52537, 50918, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50839, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 55760, 50795, 51964, 50795, 51374, 50924, 56941, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 56387, 50983, 52176, 50983, 66780, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 66780, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 66780, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 56387, 50807, 52176, 50807, 67334, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 58001, 50807, 52533, 50807, 51144, 78922, 51489, 50807, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 52785, 50918, 51876, 50918, 51144, 50918, 51119, 50918, 51153, 52382, 58154, 51300, 73731, 51109, 55242, 51109, 53682, 52392, 50798, 56253, 50796, 51510, 52870, 73731, 51097, 55242, 51097, 50852, 52975, 52785, 50795, 51876, 50795, 51280, 50795, 66780, 63439, 58154, 50924, 52855, 52897, 58406, 52060, 53294, 52785, 50807, 51876, 50807, 51280, 50807, 67334, 78582, 58154, 51013, 51728, 52418, 55757, 51046, 51221, 51553, 53041, 51456, 54926, 50946, 53376, 50576, 53083, 53366, 50807, 51869, 50807, 68946, 64227, 73201, 51844, 50924, 50988, 50943, 51042, 50833, 51942, 50943, 51329, 50943, 51326, 54944, 50935, 53376, 50574, 52881, 51232, 65961, 50924, 50935, 50873, 52855, 52082, 54814, 51007, 53835, 50883, 67094, 51492, 51232, 50795, 64227, 64762, 51844, 51364, 52553, 53576, 68946, 64227, 51429, 51370, 52870, 51232, 50795, 64227, 51153, 57599, 51253, 55347, 56670, 51020, 51109, 51023, 51109, 51092, 69558, 78261, 71269, 51429, 50807, 51844, 50924, 52553, 50841, 57552, 51364, 52553, 53041, 52040, 50807, 71269, 63350, 51089, 51253, 51020, 64429, 51041, 56688, 51020, 51109, 51023, 51109 ]
[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 3741, 27374, 594, 25, 5, 6922, 10320, 4, 8504, 11, 10, 155, 73, 398, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 26545, 6, 19, 41, 7482, 11602, 9, 15073, 4, 20, 2214, 6, 1982, 11, 5, 762, 9, 211, 538, 6, 16, 3487, 765, 11, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 52323, 50630, 50420, 54981, 50802, 52118, 61874, 53489, 52030, 53074, 52125, 54832, 52313, 53385, 50802, 52323, 52779, 52410, 62133, 50802, 52724, 61874, 55358, 52030, 54122, 52125, 54981, 52313, 53489, 50802, 52323, 53074, 52410, 54832, 50802, 52508, 61874, 53385, 52030, 52779, 52125, 52360, 52313, 52880, 50802, 52323, 52345, 52410, 54981, 50802, 52118, 61874, 53489, 52030, 53074, 52125, 54832, 52313, 53385, 50802, 52323, 52779, 52410, 50658, 50334, 50823, 52360, 54433, 62133, 53537, 50658, 50334, 50823, 52880, 55396, 62133, 54179, 50658, 50334, 50823, 52345, 54241, 62133, 53925, 50658, 50334, 50823, 52118, 56119, 62133, 55380, 50658, 50334, 50823, 53469, 55373, 62133, 50823, 52323, 50658, 50334, 50823, 52760, 56778, 62133, 55573, 64974, 50823, 52508, 54433, 50658, 50334, 53537, 64974, 50823, 52724, 55396, 50658, 50334, 54179, 64974, 50823, 55424, 54241, 50658, 50334, 53925, 62133, 50823, 53854, 56119, 50658, 50334, 55380, 64974, 50802, 53874, 50824, 52323, 55358, 52410, 62133, 50802, 52724, 54107, 54122, 52030, 54981, 50802, 52508, 58769, 53489, 52313, 53074, 50802, 55227, 50824, 52323, 54832, 52410, 71902, 53074, 54107, 55358, 52030, 54832, 50802, 52345, 53663, 53489, 52313, 53074, 50802, 72228, 52323, 54832, 52410, 52880, 50824, 53074, 54107, 55358, 52030, 53489, 50802, 53469, 53663, 54122, 52313, 54981, 50802, 74759, 52323, 53489, 52410, 71902, 54981, 54107, 55358, 52030, 54832, 50802, 52345, 53663, 53489, 52313, 53074, 50802, 72228, 52323, 54832, 52410, 52880, 50824, 53074, 54107, 55358, 52030, 53489, 50802, 53469, 53663, 54122, 52313, 54981, 50802, 74759, 52323, 53489, 52410, 54981, 51066, 52118, 66489, 52779, 52030, 62133, 50823, 53469, 54241, 55358, 53925, 62133, 50823, 52345, 56119, 55358, 55380, 62133, 50823, 52118, 55373, 55358, 50823, 52323, 62133, 50823, 53469, 56778, 55358, 52410, 52118, 66489, 52779, 52030, 62133, 50823, 52345, 54241, 55358, 53925, 62133, 50823, 52360, 56119, 55358, 55380, 62133, 50823, 52880, 55373, 55358, 50823, 52323, 62133, 50823, 52345, 56778, 55358, 52410, 52880, 66489, 52779, 52030, 62133, 50823, 53469, 54241, 55358, 53925, 62133, 50823, 52345, 56119, 55358, 55380, 62133, 50823, 52118, 55373, 55358, 50823, 52323, 62133, 50823, 53469, 56778, 55358, 52410, 52118, 66489, 52779, 52030, 62133, 50823, 52345, 54241, 55358, 53925, 62133, 50823, 52360, 56119, 55358, 55380, 62133, 50823, 52880, 55373, 55358, 50823, 52323, 62133, 50823, 52345, 56778, 55358, 55573, 62133, 50823, 52880, 54433, 55358, 53537, 62133, 50823, 52779, 55396, 55358, 54179, 52345, 50802, 54122, 53663, 52360, 52313, 76281, 54981, 50824, 52323, 52880, 52410, 53469, 50802, 53489, 54107, 52345, 52030, 52760, 50802, 53074, 53663, 52118, 52313, 52508, 50802, 54832, 50824, 52323, 53469, 52410, 54750, 50802, 53385, 54107, 52760, 52030, 55424, 50802, 52779, 53663, 52508, 52313, 53854, 50802, 54267, 50824, 52323, 54750, 52410, 53874, 50802, 52880, 54107, 55424, 52030, 60229, 50802, 52345, 53663, 53854, 52313, 56165, 50802, 71902, 52323, 53874, 52410, 53469, 50802, 55227, 54107, 53489, 52030, 54267, 50802, 52760, 53663, 53385, 52313, 52779, 50802, 71902, 52323, 54267, 52410, 53469, 50824, 52779, 54107, 54832, 52030, 53385, 50802, 54750, 53663, 53074, 52313, 54832, 50802, 53854, 50824, 52323, 53385, 52410, 74759, 54832, 54107, 53489, 52030, 54267, 50802, 52760, 53663, 53385, 52313, 52779, 50802, 71902, 52323, 54267, 52410, 53469, 50824, 52779, 54107, 54832, 52030, 53385, 50802, 54750, 53663, 53074, 52313, 54832, 50802, 53854, 50824, 52323, 53385, 52410, 54832, 51066, 52508, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 52760, 54241, 53489, 53925, 54981, 50823, 52118, 56119, 53489, 55380, 54981, 50823, 53469, 55373, 53489, 50823, 52323, 54981, 50823, 52760, 56778, 53489, 52410, 53469, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 53854, 54241, 53489, 53925, 54981, 50823, 54750, 56119, 53489, 55380, 54981, 50823, 55424, 55373, 53489, 50823, 52323, 54981, 50823, 53854, 56778, 53489, 52410, 55424, 66489, 52345, 52030, 54981, 50823, 60229, 54241, 53489, 53925, 54981, 50823, 53854, 56119, 53489, 55380, 54981, 50823, 53874, 55373, 53489, 50823, 52323, 54981, 50823, 60229, 56778, 53489, 52410, 53874, 52038, 52345, 52030, 59633, 50823, 52118, 54241, 54981, 53925, 59633, 50823, 53469, 56119, 54981, 55380, 59633, 50823, 52760, 55373, 54981, 50823, 52323, 59633, 50823, 52508, 56778, 54981, 55573, 53489, 50802, 54750, 54107, 53074, 52030, 54832, 50802, 53854, 53663, 53385, 52313, 52779, 50802, 55424, 50824, 52323, 54832, 52410, 53385, 50802, 53874, 54107, 53074, 52030, 54832, 50802, 53854, 58769, 53385, 52313, 52779, 50802, 56024, 50824, 52323, 54267, 52410, 52508, 51072, 54832, 54107, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 52760, 54241, 53489, 53925, 54981, 50823, 52118, 56119, 53489, 55380, 54981, 50823, 53469, 55373, 53489, 50823, 52323, 54981, 50823, 52760, 56778, 53489, 52410, 53469, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 53854, 54241, 53489, 53925, 54981, 50823, 54750, 56119, 53489, 55380, 54981, 50823, 55424, 55373, 53489, 50823, 52323, 54981, 50823, 53854, 56778, 53489, 52410, 55424, 66489, 52345, 52030, 54981, 50823, 60229, 54241, 53489, 53925, 54981, 50823, 53854, 56119, 53489, 55380, 54981, 50823, 53874, 55373, 53489, 50823, 52323, 54981, 50823, 60229, 56778, 53489, 52410, 53874, 52038, 52345, 52030, 59633, 50823, 52118, 54241, 54981, 53925, 59633, 50823, 53469, 56119, 54981, 55380, 59633, 50823, 52760, 55373, 54981, 50823, 52323, 59633, 50823, 52508, 56778, 54981, 55573, 53489, 50802, 54750, 54107, 53074, 52030, 54832, 50802, 53854, 53663, 53385, 52313, 52779, 50802, 55424, 50824, 52323, 54832, 52410, 53385, 50802, 53874, 54107, 53074, 52030, 54832, 50802, 53854, 58769, 53385, 52313, 52779, 50802, 56024, 50824, 52323, 54267, 52410, 52779, 50802, 55227, 61874, 53489, 52030, 55358, 52125, 59633, 52313, 54981, 50802, 52323, 53489, 52410, 53074, 50802, 53874, 61874, 54832, 52030, 53385, 52125, 52779, 52313, 54267, 50802, 52323, 52880, 52410, 53489, 50802, 52345, 61874, 53074, 52030, 54832, 52125, 53385, 52313, 52779, 50802, 52323, 54267, 52410, 53074, 50823, 52779, 54433, 54832, 53537, 53074, 50823, 54267, 55396, 54832, 54179, 53074, 50823, 52880, 54241, 54832, 53925, 53074, 50823, 52345, 56119, 54832, 55380, 53074, 50823, 52118, 55373, 54832, 50823, 52323, 53074, 50823, 53469, 56778, 54832, 55573, 59633, 50823, 52118, 54433, 54981, 53537, 59633, 50823, 53469, 55396, 54981, 54179, 59633 ]
[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 18558, 6, 6755, 12547, 6, 38668, 20535, 6, 26432, 636, 3938, 22052, 6, 8, 2724, 368, 31365, 25999, 4, 20, 2125, 7630, 6568, 10, 2933, 8, 980, 219, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 230, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 6, 2060, 6, 163, 428, 6, 8, 230, 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 ]	[ 54458, 50432, 50945, 52570, 50798, 65483, 50441, 51169, 51363, 50791, 53484, 50970, 51363, 50791, 57814, 50986, 51363, 50804, 65483, 52591, 51169, 51363, 50791, 63395, 50970, 51363, 50791, 53402, 51169, 78706, 52744, 58726, 50970, 51363, 50791, 54896, 50986, 51363, 50791, 50830, 52177, 51169, 51363, 50804, 52744, 53244, 50970, 51363, 50791, 57907, 50986, 51363, 50791, 54630, 50964, 54300, 52233, 55136, 52744, 64870, 50929, 51363, 50791, 50830, 69683, 51363, 50791, 58218, 50986, 51363, 50804, 52744, 54372, 50929, 51363, 50791, 67007, 51136, 51363, 50791, 53484, 50929, 78706, 52744, 57814, 51136, 51363, 50791, 50830, 52591, 77059, 50986, 51363, 50791, 63395, 64504, 50929, 51363, 50804, 52744, 53402, 51105, 50952, 51136, 78706, 77572, 50945, 53238, 62620, 50945, 52392, 52233, 55136, 50830, 51335, 50940, 52394, 52442, 52177, 51169, 51363, 50791, 53244, 50970, 51363, 50791, 57907, 50986, 51363, 50804, 52744, 54630, 51169, 51363, 50791, 64870, 50964, 50887, 50970, 51363, 50791, 50830, 52354, 52392, 50986, 78706, 52744, 58218, 51169, 51363, 50791, 50830, 56478, 51460, 50432, 50970, 51363, 50791, 50830, 54512, 51460, 50441, 50986, 51363, 50804, 65483, 56404, 67424, 51169, 51363, 50791, 50830, 52608, 51238, 50459, 74885, 50970, 51363, 50791, 50830, 53580, 51160, 52591, 51325, 52392, 52233, 50835, 52606, 52337, 52398, 55136, 65483, 52394, 56073, 50429, 51169, 51363, 50791, 53402, 51136, 51363, 50791, 58726, 50986, 51363, 50804, 52744, 54896, 51169, 51363, 50791, 50830, 52177, 51105, 50952, 51136, 51363, 50791, 53244, 51325, 51655, 50986, 78706, 52744, 57907, 51169, 51363, 50791, 54630, 51136, 51363, 50791, 50830, 56404, 51460, 50453, 50986, 51363, 50804, 65483, 53628, 51552, 50799, 51169, 51363, 50791, 58218, 51136, 51363, 50791, 50830, 56478, 51460, 50432, 51105, 52392, 50798, 65483, 54512, 52442, 50441, 50929, 51363, 50791, 53484, 51136, 51363, 50791, 57814, 51246, 51363, 50804, 65483, 52591, 50929, 51363, 50791, 63395, 51096, 50859, 51136, 63238, 53402, 51105, 51336, 51246, 70306, 65483, 51979, 51427, 50447, 50929, 63238, 50830, 51978, 61828, 51136, 63238, 50830, 52608, 51552, 52177, 51105, 51294, 51246, 68798, 52744, 53244, 50929, 63238, 50830, 52436, 51496, 50435, 63796, 51136, 63238, 54630, 50964, 51933, 52606, 50835, 51678, 50835, 51246, 70306, 65483, 51979, 56073, 50453, 50929, 63238, 50830, 69683, 63238, 58218, 50986, 68798, 52744, 54372, 50929, 63238, 67007, 69126, 51136, 63238, 53484, 50964, 51896, 50986, 70306, 65483, 52608, 51029, 50459, 50929, 63238, 50830, 52591, 51136, 63238, 50830, 53628, 51653, 50429, 50986, 68798, 65483, 52394, 51029, 53758, 50952, 50929, 63238, 58726, 51105, 50952, 51136, 63238, 50830, 52608, 61828, 50945, 52392, 52233, 50835, 51821, 55482, 52398, 55482, 51169, 70306, 65483, 51978, 53898, 52177, 50970, 63238, 53244, 50986, 63238, 57907, 51169, 68798, 52744, 54630, 50970, 63238, 64870, 64504, 50986, 70306, 55110, 50952, 52354, 51933, 51032, 70306, 50910, 51335, 50910, 50441, 53085, 51091, 50459, 53085, 50991, 52591, 53016, 51605, 51096, 51933, 53496, 54143, 51821, 54143, 52072, 54143, 50798, 50830, 51335, 71307, 50970, 69707, 53402, 51317, 51412, 50791, 58726, 51064, 51412, 50804, 52744, 54896, 50970, 63238, 50830, 52177, 52943, 50991, 69126, 51317, 70306, 55110, 58798, 51850, 50983, 50945, 51933, 52233, 54143, 51821, 51445, 52398, 69565, 52744, 57907, 50970, 51534, 50791, 54630, 51992, 51091, 50986, 72707, 64870, 51169, 51412, 50804, 65483, 50799, 51850, 50865, 50970, 71162, 58218, 51850, 50830, 69126, 50986, 75751, 55110, 59099, 51850, 52045, 51228, 52392, 53496, 51445, 51821, 51445, 52398, 69565, 65483, 50441, 52036, 51203, 50970, 71162, 53484, 52137, 51534, 51317, 72707, 57814, 53188, 51310, 50929, 74741, 65483, 52591, 51136, 71162, 63395, 71669, 52735, 51534, 52606, 51534, 51678, 51534, 52072, 51534, 51246, 70811, 55110, 50952, 53357, 51655, 52626, 53233, 52233, 54143, 51821, 54143, 51169, 55568, 52744, 58726, 50970, 71162, 54896, 50986, 63238, 50830, 52177, 52527, 50983, 51169, 74741, 52744, 53244, 50970, 63238, 57907, 51756, 50991, 50986, 70811, 55110, 60835, 52943, 51036, 51228, 52392, 53976, 54249, 53496, 51445, 51821, 51445, 52398, 55136, 52744, 64870, 50970, 72707, 50830, 75961, 71162, 58218, 51169, 74741, 52744, 54372, 50970, 72707, 67007, 51228, 50859, 51317, 64861, 55110, 58710, 51992, 51358, 50964, 52392, 52626, 52015, 52233, 51243, 52606, 51243, 51678, 63854, 52744, 57814, 50929, 71162, 50830, 52591, 50998, 71162, 63395, 51850, 50991, 53828, 52015, 51032, 51412, 50804, 52744, 53402, 51992, 50991, 50929, 72707, 58726, 51850, 50991, 69126, 50998, 70811, 55110, 59349, 51756, 52045, 50945, 52392, 53718, 78706, 65483, 52177, 54307, 51203, 51169, 51412, 50791, 53244, 56726, 51363, 50970, 72707, 57907, 53718, 51255, 51169, 79635, 52744, 54630, 54307, 51255, 50970, 71162, 64870, 69126, 56726, 51221, 50986, 75751, 55110, 50952, 52354, 52392, 59151, 53259, 51169, 70811, 52744, 58218, 50970, 63238, 54372, 50986, 72707, 67007, 52943, 50991, 51169, 74741, 52744, 53484, 51850, 50991, 50970, 71162, 57814, 53085, 50991, 64504, 50986, 75751, 55110, 50952, 52591, 53016, 51060, 51096, 52392, 64092, 52015, 53496, 51243, 51821, 50825, 52072, 63854, 52744, 63395, 53016, 51161, 50970, 63238, 53402, 51317, 63490, 58726, 57204, 51364, 51064, 68798, 52744, 54896, 50970, 71162, 50830, 52177, 51992, 50830, 77059, 56726, 51238, 51317, 70811, 55110, 50952, 50421, 51850, 53244, 52527, 51291, 51105, 52392, 54307, 53363, 52606, 53233, 51678, 53233, 52072, 53233, 50929, 70811, 52744, 57907, 51136, 63238, 54630, 51246, 71162, 64870, 51850, 50991, 50929, 68798, 65483, 74215, 50865, 51136, 63238, 58218, 51756, 50967, 51105, 50952, 51246, 70811, 55110, 59099, 51756, 50830, 51228, 51933, 53718, 51358, 51821, 51243, 52398, 53233, 50798, 65483, 50436, 51850, 67007, 52943, 52382, 50970, 71162, 53484, 51317, 63238, 57814, 54339, 51218, 51169, 74741, 65483, 52591, 51325, 50924, 50970, 71162, 63395, 51228, 50887, 52626, 51124, 51317, 75751, 55110, 50952, 50433, 50964, 55395, 51096, 52392, 53976, 53380, 53496, 50825, 51821, 53233, 52072, 53233, 51064, 78706, 52744, 58726, 50970, 71162, 54896, 52943, 50991, 51317, 69707, 50830, 52177, 51992, 50983, 51064, 68798, 52744, 53244, 50970, 72707, 57907, 51850, 50991, 51096, 50859, 51317, 70811, 55110, 60835, 51756, 51036, 50964, 51933, 54307, 51534, 50798, 52744, 64870, 54339, 51221, 50929, 72707, 50830, 50799, 52626, 51255, 51136, 51412, 50791, 58218, 52735, 51680, 51032, 51363, 50804, 52744, 54372, 50929, 63238, 67007, 69126, 51136, 70811, 55110, 58710, 51756, 51358, 50964, 51933, 52626, 51313, 50929, 75751, 52744, 57814, 51136, 51363, 50791, 50830, 52591, 50986, 71162, 63395, 52527, 50983, 50929, 51534, 50804, 52744, 53402, 50927, 50952, 51136, 51363, 50791, 58726, 51971, 50991, 51019, 53238, 55110, 59349, 51850, 52045, 50945, 51655, 52036, 51203, 51821, 52826, 52398, 52826, 51716, 54880, 65483, 52177, 52137, 51255, 50970, 51363, 50791, 53244, 53188, 51255, 50986, 72707, 57907, 52735, 51255, 51169, 69652, 52744, 54630, 53188, 51124, 50970, 72707, 64870, 52735, 51221, 50986, 70811, 55110, 50952, 52354, 51896, 52626, 51591, 51169, 70811, 50921, 51335, 50921, 50441, 53085, 50807, 52060, 57099 ]
[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 14, 1974, 23, 10, 27841, 139, 20889, 11, 155, 73, 176, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 7630, 6568, 10, 3344, 9, 20425, 8, 19448, 6711, 29, 6, 10686, 13, 304, 11, 3541, 4, 20, 15229, 16, 1490, 198, 5, 40286, 211, 6, 3676, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51026, 51413, 50861, 51417, 50973, 51417, 50902, 51417, 50438, 51086, 51291, 50973, 51472, 50902, 51472, 50951, 51472, 54206, 51291, 50902, 51291, 51114, 51291, 50999, 51291, 57267, 73642, 51073, 50951, 51073, 51220, 69556, 51086, 51446, 50973, 51413, 50902, 51413, 50951, 51413, 50796, 53337, 71884, 51048, 51114, 51048, 50999, 51048, 57267, 73642, 51073, 50951, 51073, 51220, 69556, 51086, 51159, 50973, 51159, 50902, 51159, 50951, 51159, 54206, 71884, 51048, 51114, 51048, 50999, 62521, 50989, 51291, 50902, 51472, 50999, 51472, 51146, 51472, 56279, 51157, 50902, 51157, 51114, 51157, 50999, 51157, 54594, 71884, 51048, 50951, 51048, 51220, 62521, 51086, 51159, 50902, 51380, 51114, 51380, 50999, 53308, 50951, 53470, 50899, 71884, 51312, 51114, 51312, 50999, 69556, 50989, 51472, 50902, 51397, 50999, 51397, 51146, 51472, 50796, 53337, 51157, 50902, 51312, 51114, 51312, 50999, 51159, 57267, 73642, 51109, 50951, 51109, 51220, 69556, 51086, 51157, 50902, 51312, 51114, 51312, 50999, 52961, 50951, 50849, 54206, 51291, 50902, 51048, 51114, 51048, 50999, 51048, 60718, 51417, 56279, 51056, 51114, 51055, 50999, 51055, 51146, 51055, 57542, 51157, 50902, 51157, 50999, 51157, 51146, 51157, 53337, 51048, 51114, 51157, 50999, 51157, 51146, 51157, 59419, 51446, 50968, 51397, 50951, 51397, 51146, 63112, 51062, 52961, 51220, 50805, 59733, 51048, 53523, 51056, 50968, 51048, 50951, 51048, 51062, 61636, 51027, 72597, 51048, 50951, 51048, 51062, 51048, 55895, 51048, 50968, 51157, 50951, 51157, 51062, 51157, 54206, 51291, 50902, 51448, 51114, 51448, 51062, 72265, 51220, 52605, 50999, 52446, 50902, 51048, 50951, 51048, 51220, 63112, 51086, 51056, 50902, 51048, 51220, 51048, 51146, 51048, 54955, 51157, 50902, 51048, 51220, 51048, 51146, 62521, 51086, 73642, 51048, 51220, 51048, 51146, 51048, 55203, 51291, 50968, 51677, 51220, 51048, 51146, 63112, 50999, 76916, 53702, 50951, 50805, 51220, 50805, 58479, 51048, 51062, 51048, 57025, 51056, 50968, 51312, 50999, 51157, 51062, 51157, 55203, 51157, 50968, 51312, 50999, 51157, 51062, 69785, 51027, 51157, 50968, 51109, 50951, 51157, 51062, 51157, 54206, 51161, 50902, 51677, 51114, 51538, 51062, 51538, 56279, 71884, 51267, 51114, 51267, 51146, 51048, 54594, 51941, 50902, 51422, 50951, 51422, 51220, 72265, 50999, 76094, 51220, 51048, 55895, 51157, 50968, 51312, 50951, 51312, 51062, 51048, 54206, 51605, 50902, 52222, 50951, 51448, 50999, 51486, 66240, 51535, 51114, 51448, 50450, 50951, 51157, 54955, 51397, 51086, 51446, 68930, 50902, 51535, 50951, 51291, 50438, 50973, 51562, 50951, 51562, 55331, 51562, 50999, 51562, 50438, 50951, 51073, 51220, 69556, 50973, 51413, 50951, 51413, 55746, 50902, 51048, 50999, 61636, 50951, 51048, 51220, 63112, 50973, 51159, 50951, 51159, 55331, 51048, 50999, 62521, 50999, 51472, 51146, 51472, 63932, 51159, 50999, 51159, 56807, 51048, 51220, 62521, 50973, 51380, 50999, 52605, 50951, 52446, 50902, 51048, 50999, 63112, 50999, 51472, 51146, 51472, 55746, 50902, 51159, 50999, 51159, 66836, 51157, 50999, 51157, 63932, 51159, 54955, 51413, 50899, 51413, 50438, 51086, 51472, 50861, 51472, 54206, 51291, 50877, 51291, 57267, 51253, 50973, 75355, 51086, 51448, 78759, 50796, 53337, 68721, 51048, 57267, 51267, 50973, 63112, 51086, 51312, 50861, 51159, 54206, 68721, 51073, 56207, 51562, 50902, 51472, 56279, 51312, 50877, 51159, 54594, 51267, 50973, 62521, 51086, 51312, 50877, 52605, 50861, 52446, 50899, 51312, 50877, 51048, 60027, 51562, 50902, 51472, 50796, 53337, 78979, 51056, 51220, 51055, 51146, 65294, 51086, 64306, 51157, 51220, 51048, 51146, 51048, 56279, 74972, 51073, 51220, 51157, 51146, 51157, 55524, 51291, 50861, 51291, 51220, 51157, 51146, 72265, 50999, 76916, 53308, 50951, 51458, 50327, 54233, 50999, 51048, 51062, 51048, 55895, 74669, 51056, 50999, 51048, 51062, 51048, 56310, 51159, 50900, 51159, 50999, 51048, 51062, 51048, 53523, 51048, 50916, 51048, 50999, 51048, 51062, 51048, 55898, 51291, 50989, 51291, 50999, 51157, 51062, 69785, 50951, 50805, 51220, 52961, 51114, 67611, 50849, 56807, 51048, 51220, 62521, 50973, 51056, 50902, 67272, 50973, 51157, 50902, 69785, 50973, 51157, 50902, 51157, 57844, 71884, 51048, 56207, 56472, 52605, 50861, 58654, 52446, 50877, 72597, 51157, 60027, 72597, 51157, 54852, 72597, 51157, 56207, 72597, 51157, 60496, 73463, 56279, 51312, 50973, 52961, 50877, 50805, 54594, 51073, 50973, 51073, 56947, 51056, 51220, 51055, 51487, 65294, 51315, 51157, 51220, 51048, 51487, 63112, 51026, 51157, 51220, 51048, 51487, 51048, 56310, 51291, 51399, 51417, 51487, 72265, 51787, 52605, 51430, 53470, 51787, 63112, 51378, 51056, 50999, 51048, 51787, 51048, 54868, 51157, 51146, 51048, 51787, 62521, 51378, 51048, 50999, 51048, 51787, 61636, 51026, 51291, 51220, 53413, 51787, 69785, 51430, 53702, 51146, 50805, 76502, 52115, 51487, 51631, 50861, 51056, 51787, 51736, 51487, 55122, 50861, 51157, 51430, 52815, 51487, 55149, 50861, 51157, 51787, 52961, 51487, 50795, 54594, 51662, 51028, 51933, 50968, 51692, 50999, 51692, 56222, 51109, 51028, 51048, 50968, 51157, 50999, 51157, 57126, 51312, 50902, 51036, 50999, 51036, 51146, 51036, 56248, 79881, 50989, 51109, 56279, 51677, 51487, 51159, 54852, 51894, 50999, 51448, 51146, 51448, 51787, 51446, 63809, 51535, 50999, 51448, 51399, 51448, 51430, 69785, 51146, 51159, 54206, 51991, 51114, 51677, 50999, 51677, 51146, 77481, 51220, 51157, 51146, 51157, 66302, 51048, 51146, 62521, 51220, 51048, 51146, 61636, 50999, 51159, 51062, 75355, 51220, 67026, 51923, 50999, 68968, 50805, 56807, 51157, 51220, 72265, 51220, 51073, 51146, 69052, 50999, 51157, 51062, 69785, 50951, 51157, 51220, 51157, 56807, 51048, 51220, 62521, 50973, 51380, 50999, 52605, 50951, 52446, 50902, 51048, 50999, 63112, 50973, 51159, 50902, 51159, 57844, 71884, 62521, 50973, 71884, 51048, 60496, 72597, 69785, 50973, 60446, 55416, 50877, 71068, 54594, 51157, 50973, 72265, 50973, 73642, 51073, 60496, 72597, 51157, 56222, 51157, 50973, 51157, 54594, 51157, 50973, 51157, 62795, 51312, 50877, 52605, 50861, 52446, 50899, 70148, 69556, 51086, 51056, 66459, 51220, 51055, 51146, 51055, 54955, 51157, 50902, 51048, 51220, 51048, 51146, 62521, 51086, 71884, 51048, 51220, 51048, 51146, 51048, 55203, 51291, 50968, 51692, 51220, 51157, 51146, 69785, 50999, 68968, 52961, 50951, 50805, 51220, 50805, 58479, 51048, 51062, 51048, 57025, 51159, 50968, 51109, 50999, 51048, 51062, 51048, 55203, 51048, 50968, 51312, 50999, 51157, 51062, 69785, 51027, 51157, 50968, 51312, 50951, 51048, 51062, 51048, 54206, 51161, 50902, 51312, 51114, 51161, 51062, 57944, 50902, 61148, 50902, 51109, 56279, 71884, 51109, 51114, 51109, 51146, 51048, 54594, 51933, 50902, 51422, 50951, 51422, 51220, 72100, 50999, 69241, 51220, 51048, 55895, 51159, 50968, 51109, 50951, 51109, 51062, 51048, 54206, 51605, 50902, 52222, 50951, 51397, 50999, 51486, 66240, 51535, 51114, 51535, 50450, 50951, 51157, 54955, 51692, 51086, 51157, 50973, 51291, 50951, 51291, 54439, 51290, 55898, 69785, 51086, 51157, 74576, 51220, 51056, 51146, 51056, 54955, 51157, 50902, 51157, 51220, 51157, 51146, 51157, 62795, 71884, 51157, 51220, 51157, 51146, 51157, 55203, 51291, 50968, 51662, 51220, 51048, 51146, 63112, 50999, 68968, 52961, 50951, 50805, 51220, 50805 ]
[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 3495, 2712, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 1893, 43639, 6, 3459, 13305, 6, 8, 2003, 38704, 31365, 25999, 6, 2800, 30, 38668, 18569, 8, 21072, 4, 8504, 11, 83, 3694, 8, 1375, 23, 10, 23667, 20889, 6, 24, 7630, 6568, 10, 11739, 9, 2933, 8, 19448, 6711, 29, 6, 19, 10, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50852, 50949, 51544, 50895, 55703, 55622, 50852, 50961, 52320, 50961, 55779, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50827, 50741, 50286, 57824, 61142, 50924, 68008, 54447, 66261, 61981, 62828, 51008, 50741, 50288, 61509, 50883, 50799, 59931, 52821, 50741, 50289, 56004, 50852, 54906, 75335, 52647, 56382, 52998, 50857, 59059, 50841, 53907, 51194, 75884, 51194, 52126, 51582, 63248, 51771, 58877, 50743, 50303, 51318, 52609, 51239, 59873, 52998, 51134, 51816, 56983, 50852, 60032, 51959, 55441, 55750, 67300, 66261, 65449, 50743, 50299, 51242, 51959, 51095, 50458, 58417, 53259, 50743, 50296, 55844, 50791, 56046, 51816, 50836, 57752, 58410, 68439, 51816, 50937, 52577, 50937, 50422, 53234, 50840, 51816, 51307, 50423, 52577, 51264, 51544, 50895, 55703, 55622, 50852, 63281, 62828, 51008, 50741, 50288, 60649, 61142, 50952, 68008, 55690, 66261, 61981, 68921, 50925, 50741, 50286, 52854, 54162, 50887, 50799, 63352, 54300, 72410, 53478, 50852, 54906, 73427, 51816, 61057, 52998, 50886, 59059, 53901, 53907, 51337, 75884, 51642, 53234, 51239, 61749, 52627, 50897, 52577, 51095, 50434, 52998, 51241, 50743, 50303, 67248, 59873, 52627, 52599, 53234, 55064, 60032, 52627, 50849, 50440, 52577, 59503, 52092, 62813, 51959, 50925, 50449, 50743, 50299, 51043, 52092, 64949, 53354, 66741, 66261, 72727, 53929, 52919, 50458, 50743, 50301, 51359, 51959, 53259, 50791, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50925, 50741, 50286, 58262, 61142, 50925, 68008, 52938, 66261, 67383, 62828, 50925, 50741, 50288, 67952, 50883, 50799, 59931, 52644, 50741, 50289, 52821, 50852, 54906, 75249, 51771, 59824, 52609, 50846, 51959, 75749, 53907, 51100, 75884, 51337, 51816, 54881, 61361, 52998, 51204, 50434, 50743, 50303, 72876, 55622, 51771, 57383, 71540, 55750, 67081, 50743, 50299, 51309, 52647, 50846, 51771, 60596, 66261, 65449, 52126, 78767, 52114, 60135, 58417, 51353, 50743, 50296, 51922, 50791, 59363, 53643, 50846, 51771, 50917, 50799, 52003, 50910, 52114, 53708, 68936, 53643, 50846, 51771, 51991, 50422, 52003, 51161, 51544, 50895, 55703, 55622, 50852, 63281, 62828, 50959, 50741, 50288, 58248, 61142, 50938, 68008, 55744, 66261, 67320, 68921, 50938, 50741, 50286, 50978, 52902, 50883, 50799, 63352, 53090, 72410, 52821, 52647, 52672, 54906, 50858, 50416, 52126, 73963, 51771, 55640, 53907, 51100, 75884, 51101, 51816, 52201, 61361, 52998, 51189, 50434, 50743, 50303, 51318, 51816, 52217, 55622, 51959, 51100, 50852, 63281, 51816, 58501, 52092, 63589, 55750, 62400, 66261, 65449, 50743, 50299, 51101, 50457, 56201, 51151, 51959, 58323, 50743, 50301, 52151, 50791, 50883, 50799, 52577, 52227, 72922, 52569, 62799, 52577, 51623, 51544, 50895, 55703, 55622, 50852, 71309, 57355, 50937, 50446, 68921, 50937, 50741, 50286, 51051, 58195, 50878, 53643, 56060, 61142, 50808, 54067, 50822, 68008, 50855, 53168, 50810, 52003, 53065, 66261, 67320, 62828, 50952, 57454, 50925, 50741, 50288, 50959, 52647, 50878, 55953, 52854, 50883, 50799, 59931, 53478, 54377, 50859, 50741, 50289, 52826, 52126, 52644, 53359, 53454, 50852, 50387, 52214, 53871, 50940, 51544, 60063, 55860, 55690, 55622, 53862, 58453, 50961, 52320, 66261, 69866, 57454, 56022, 59363, 54377, 50887, 57752, 68936, 55860, 50878, 50425, 53862, 50851, 51544, 61361, 54157, 51142, 55703, 73957, 55823, 54123, 50852, 71309, 54377, 62604, 62828, 50937, 50741, 50288, 50984, 55953, 50955, 52003, 50857, 52647, 64891, 53862, 53567, 61142, 50878, 68008, 50822, 53168, 50987, 52003, 61098, 66261, 54353, 55823, 64074, 68921, 50978, 50741, 50286, 51210, 53643, 50813, 58195, 51559, 54162, 66430, 54542, 51896, 50799, 63352, 51151, 72410, 52821, 52114, 52644, 53362, 52644, 50852, 54906, 50858, 51544, 50895, 55703, 55622, 50852, 60464, 54163, 52192, 50446, 53862, 52989, 54377, 56522, 66261, 59994, 54067, 61963, 54377, 54881, 50883, 57752, 70394, 54067, 68874, 54978, 60567, 54560, 52524, 54699, 53065, 61749, 54783, 63444, 59659, 58511, 57619, 58528, 57964, 62225, 65167, 58467, 72009, 50941, 55703, 55622, 50852, 63281, 68921, 50921, 57355, 50925, 50741, 50286, 50959, 58195, 50866, 53643, 52843, 61142, 50808, 54067, 50810, 68008, 50813, 52003, 50878, 53168, 53199, 66261, 61981, 62828, 50910, 57454, 50910, 50741, 50288, 50959, 55953, 50878, 52647, 55966, 50883, 50799, 59931, 53413, 54377, 50878, 50741, 50289, 53413, 53359, 53454, 52126, 53082, 50852, 54906, 50940, 51544, 50895, 55703, 59873, 55860, 53415, 50852, 60032, 53862, 50874, 52320, 66261, 50890, 55779, 56046, 57454, 50937, 50799, 54377, 55476, 70394, 55860, 57817, 53862, 54225, 60063, 54157, 69207, 55622, 55823, 54791, 63281, 62828, 50959, 54377, 50925, 50741, 50288, 50912, 55953, 50878, 52647, 58238, 61142, 50925, 53862, 50912, 68008, 50925, 53168, 50878, 52003, 56879, 66261, 61981, 68921, 50873, 56101, 50910, 50741, 50286, 51142, 58195, 50878, 53643, 52854, 54162, 50887, 50799, 63352, 53363, 57436, 53090, 72410, 52644, 52114, 53082, 53362, 52644, 50852, 54906, 50940, 51544, 50895, 55703, 55622, 50852, 50961, 52320, 66261, 50890, 55779, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50952, 50741, 50286, 50933, 58195, 50866, 53643, 77203, 55888, 57355, 57006, 61142, 50808, 68008, 50808, 52003, 50955, 53168, 51373, 66261, 64380, 54067, 57450, 62828, 50952, 50741, 50288, 50878, 52647, 50878, 55953, 55999, 56046, 57454, 50910, 50799, 59931, 52821, 50741, 50289, 53413, 52126, 52644, 53359, 52644, 50852, 50387, 52214, 52411, 50924, 50415, 54377, 50859, 51544, 50895, 55703, 59873, 55860, 58866, 50852, 60032, 53862, 50907, 52320, 66261, 67320, 57454, 56522, 50883, 50799, 54377, 55879, 70394, 55860, 50937, 51544, 61749, 53862, 70301, 54157, 56022, 55622, 50852, 60032, 55823, 64201, 62828, 51142, 54377, 50910, 50741, 50288, 50810, 52647, 50955, 55953, 58038, 61142, 50952, 53862, 50851, 68008, 50912, 53168, 50810, 52003, 52854, 66261, 69866, 68921, 50910, 50741, 50286, 51008, 58195, 50866, 53643, 52854, 54162, 57661, 55823, 50921, 50799, 63352, 53090, 72410, 52826, 52114, 53082, 52003, 50834, 53362, 52644, 50852, 54906, 68621, 54542, 51896, 51544, 50895, 55703, 55622, 50852, 69396, 54163, 51824, 50446, 53862, 52192, 52320, 66261, 72860, 54377, 50925, 50455, 54067, 65737, 54377, 55706, 50883, 57752, 68936, 54067, 67643, 54978, 58304, 54560, 59066, 54699, 54156, 54783, 52873, 61749, 59659, 63692, 57619, 58511, 57964, 64247, 65167, 59833, 72009, 50813, 55703, 55622, 50852, 63281, 68921, 50924, 50741, 50286, 50925, 50742, 50293, 50924, 57106, 50924, 58195, 50878, 53643, 50878, 51553, 53756, 71977, 51553, 52725, 61142, 50821, 68008, 50810, 50742, 50294, 50940, 53807, 50897, 53168, 50810, 52003, 53199, 50386, 52418, 69866, 62828, 51210, 50741, 50288, 50952, 78206, 50952, 56817, 50808, 55953, 50955, 52647, 50878, 52615, 52082, 51179, 50883, 50799, 59931, 50910, 50741, 50289, 50808, 50742, 50296, 50865, 54030, 50924, 53359, 50810, 52126, 50955, 69621, 57901, 66055, 53852, 65418, 54515, 50867, 57436, 52762, 56101, 51309, 50433, 54515, 54431, 54542, 65562, 54163, 64827, 53862, 51242, 50457, 54377, 55971, 54542, 53988, 51129, 55669, 56075, 54163, 56959, 50820, 63311, 50820, 54519, 50820, 57493, 61132, 50804, 53070, 50804, 62589, 50804, 51004, 53951 ]
[ 0, 713, 5679, 26709, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 306, 86, 6543, 6, 1575, 10, 11739, 9, 3459, 13305, 6, 13305, 6, 21979, 8669, 6, 38668, 2236, 6, 8, 38668, 11212, 4, 20, 9571, 35810, 561, 7, 1045, 10, 19448, 8, 15352, 30054, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 8, 230, 1639, 10, 32625, 4811, 1328, 5, 2125, 6, 61, 3136, 23, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54838, 50633, 54687, 51034, 51220, 51192, 51026, 51627, 53168, 51677, 50420, 50951, 51112, 55009, 52263, 62795, 51490, 52003, 70402, 50951, 50838, 51771, 64025, 51220, 50952, 51026, 52188, 52003, 51576, 50441, 50999, 52597, 50951, 51111, 55009, 51470, 51034, 50968, 51255, 50900, 51677, 53359, 51662, 50420, 50951, 51337, 52114, 51627, 50426, 50968, 51377, 52126, 74257, 50951, 51025, 51771, 64025, 51062, 50873, 52126, 51534, 50444, 51220, 50845, 52114, 51470, 51034, 50999, 64763, 51477, 58195, 51381, 58973, 50901, 52003, 51447, 50426, 51114, 51043, 53359, 51627, 63975, 51203, 58195, 52482, 50438, 51146, 51167, 50899, 51108, 52114, 51709, 50441, 50999, 60204, 51114, 50795, 58195, 51824, 51034, 51001, 51100, 50956, 51749, 58195, 51939, 50420, 50973, 51233, 55009, 52034, 50426, 51001, 50873, 52647, 51797, 50432, 51114, 51110, 55009, 65461, 51220, 50805, 51086, 51576, 52647, 52188, 50444, 50999, 50873, 53359, 51432, 51034, 50968, 51215, 50916, 52263, 56805, 51662, 50420, 50973, 51203, 52126, 52980, 50426, 50968, 50805, 55009, 52034, 50432, 50951, 51100, 53168, 51645, 50438, 51430, 50925, 51086, 51775, 55009, 51330, 50441, 51220, 54630, 79386, 53168, 51432, 50447, 60300, 51034, 50951, 51043, 51081, 51417, 50900, 51749, 53897, 51422, 67855, 51079, 52114, 52783, 50426, 50632, 50876, 51753, 53168, 53052, 50968, 51852, 56805, 51166, 55203, 51709, 51081, 50914, 53168, 63236, 50951, 50972, 56805, 51166, 69827, 50999, 51218, 50871, 51878, 53897, 52528, 50420, 52114, 52015, 50426, 53359, 55544, 50951, 50866, 53362, 55659, 50999, 57035, 51709, 53359, 52056, 50439, 50631, 50441, 50951, 58937, 73955, 53362, 51432, 50447, 66661, 51034, 50630, 50902, 60959, 51627, 52951, 51484, 62143, 51172, 53362, 52188, 60718, 51363, 52951, 52460, 50427, 50630, 63931, 51709, 53362, 52482, 50438, 50931, 51309, 62440, 52951, 53957, 50439, 50629, 50444, 50902, 51174, 50445, 53362, 52192, 51034, 50625, 50877, 52528, 50931, 51939, 53359, 53866, 52114, 53866, 53362, 53866, 73566, 54963, 51267, 50426, 53956, 55965, 53091, 50914, 51034, 53775, 51486, 50945, 51538, 51131, 52378, 50947, 51484, 50986, 52056, 50970, 52056, 51032, 51199, 51438, 51199, 52036, 51939, 52430, 51939, 52626, 51939, 50415, 50633, 50426, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 75480, 74725, 67522, 51438, 54584, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51438, 74722, 51131, 51123, 75480, 50970, 51123, 51034, 53807, 51591, 50953, 51585, 51246, 52378, 51064, 51484, 50960, 52056, 50929, 52056, 51067, 51199, 51563, 51199, 52137, 53478, 52735, 51939, 52886, 51939, 65404, 51254, 77123, 51064, 51006, 73075, 51563, 51006, 50427, 51246, 65948, 50929, 51128, 51064, 51000, 51563, 51000, 50960, 51123, 51067, 69868, 51246, 60438, 51246, 51254, 50960, 51254, 77123, 51064, 51006, 73075, 51563, 58867, 51246, 51123, 50960, 51123, 50929, 51123, 51064, 50907, 51067, 50907, 51563, 50907, 51034, 54173, 51189, 51133, 51518, 51207, 52188, 50986, 52188, 50998, 52188, 50929, 51484, 51032, 51484, 51292, 51484, 52626, 51939, 53828, 51939, 50426, 51207, 51254, 50986, 51254, 50998, 51254, 50929, 51006, 51032, 51006, 51292, 57018, 53136, 50901, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 53091, 51003, 69236, 64145, 51207, 51142, 50998, 51142, 71656, 51292, 69877, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 53136, 50983, 51186, 51161, 51246, 52378, 50960, 52378, 51064, 51484, 51067, 51484, 50970, 52256, 51438, 51381, 52036, 52337, 52735, 51939, 52886, 51939, 50426, 51246, 51142, 70698, 51064, 51008, 51067, 61957, 54173, 50892, 80250, 51067, 50941, 51246, 51022, 50970, 51252, 51064, 50907, 51438, 55707, 53136, 51056, 70698, 51067, 50933, 51246, 51254, 50970, 51254, 51064, 51006, 51438, 58867, 51246, 51269, 50960, 51123, 74725, 51064, 51123, 77211, 51438, 50907, 51034, 53091, 51127, 50945, 51518, 51131, 52482, 50947, 51642, 50986, 52460, 50970, 52460, 51032, 51645, 51438, 51645, 52430, 54270, 52626, 52204, 50426, 51131, 51376, 50986, 51376, 50970, 51376, 50947, 51006, 51032, 51006, 51438, 57018, 51131, 51022, 50986, 51022, 50970, 51832, 50947, 50907, 51032, 50907, 51438, 61929, 51131, 51470, 50947, 51174, 50986, 51166, 51032, 50972, 50970, 52996, 51438, 51806, 50444, 51131, 51297, 50986, 51126, 50947, 51126, 51032, 50941, 51034, 54963, 50995, 50945, 51183, 51131, 52378, 50947, 51484, 50986, 52996, 50970, 52056, 51032, 52056, 51438, 68428, 54240, 50914, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 75480, 74725, 67522, 51438, 54584, 53956, 51157, 50953, 50915, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51438, 74722, 51131, 51123, 75480, 50970, 51123, 51034, 53091, 51486, 51011, 51161, 51131, 52378, 50947, 51484, 50986, 52056, 50998, 52056, 51032, 51199, 51292, 51199, 53828, 67778, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50998, 51376, 51292, 57018, 51131, 51128, 50947, 50971, 75480, 50998, 51022, 67522, 51292, 54584, 51131, 51051, 50998, 51051, 50947, 51008, 51292, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51292, 74722, 51131, 51123, 75480, 50998, 51123, 51034, 53136, 51486, 51271, 51161, 51131, 52378, 50947, 51484, 50960, 52996, 50970, 52056, 51067, 52056, 51438, 51199, 52036, 51592, 52735, 51592, 52886, 52826, 50426, 51131, 51210, 50960, 51210, 79504, 51067, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 66003, 74725, 77211, 51438, 54584, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50960, 51376, 51067, 69655, 50947, 50907, 51067, 50851, 51438, 74722, 51131, 51123, 66003, 50970, 51123, 51034, 53091, 51295, 50953, 51161, 51207, 52482, 50929, 51642, 51311, 52460, 50960, 52460, 51076, 51645, 51067, 51645, 52137, 51801, 53499, 67778, 51207, 51376, 51311, 51376, 50960, 51376, 50929, 51006, 51076, 51006, 51067, 57018, 54240, 50810, 51207, 51022, 51311, 51022, 70183, 69911, 51076, 50907, 51067, 58604, 54240, 51178, 51207, 51470, 50929, 51174, 51311, 51166, 70951, 50970, 52996, 51067, 52996, 51438, 51806, 50439, 50960, 54344, 50444, 51207, 51297, 51311, 51126, 50929, 51126, 51076, 50941, 51034, 54240, 51151, 51133, 51486, 50986, 51961, 51032, 51381, 51207, 51961, 50998, 51961, 50929, 51381, 51292, 51381, 52626, 51801, 53828, 52826, 50432, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 50998, 51254, 51292, 51058, 51207, 51079, 68104, 63434, 51032, 56391, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 51133, 51592, 50998, 51142, 51292, 50933, 50986, 51254, 51032, 51006, 51207, 51806, 50929, 51199, 50420, 50998, 51269, 51032, 50907, 51292, 50984, 50421, 50986, 57252, 51207, 51254, 50986, 51254, 50998, 51254, 50929, 51006, 51032, 51006, 51292, 57018, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 51207, 51142, 71656, 50986, 51254, 50998, 51254, 51032, 51058, 51292, 61972, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 53091, 50943, 50945, 51933, 51131, 52378, 50947, 51484 ]
[ 0, 250, 33928, 8, 20425, 3495, 2214, 11, 230, 3694, 6, 4246, 10, 15352, 30054, 16739, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 10686, 13, 10, 822, 19834, 6, 19, 10, 7212, 20889, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 51247, 51283, 51050, 51283, 50871, 79309, 51247, 50827, 66742, 50871, 53720, 51247, 50827, 66742, 50871, 52788, 51247, 51283, 51050, 51283, 50871, 51283, 50456, 51247, 50827, 66742, 50871, 54529, 51247, 50827, 66742, 58529, 54734, 71445, 58194, 54869, 51247, 71445, 58194, 54498, 51247, 68588, 57712, 53624, 51247, 68588, 57712, 52985, 79099, 73773, 56963, 50454, 79099, 73773, 56963, 50458, 79099, 73773, 56963, 54734, 51283, 51279, 51283, 51050, 51283, 50871, 51283, 50877, 79309, 51247, 50827, 66742, 63489, 50871, 53720, 51247, 50827, 66742, 63489, 50871, 52788, 51247, 51283, 51279, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50456, 51247, 50827, 66742, 63489, 50871, 54529, 51247, 50827, 66742, 63489, 58529, 54734, 51517, 50289, 71445, 58194, 59219, 54869, 51247, 71445, 72110, 58194, 54498, 51247, 51260, 50289, 68588, 57712, 56943, 53624, 51247, 51260, 50289, 68588, 57712, 56943, 52985, 79099, 73773, 51040, 50933, 56963, 50454, 79099, 73773, 51040, 50933, 56963, 50458, 79099, 73773, 51040, 50933, 56963, 54734, 51283, 51279, 51283, 51085, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50876, 79309, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 53720, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 52788, 51247, 51283, 51279, 51283, 51085, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50876, 51283, 50456, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 54529, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 57472, 54734, 51517, 50289, 51517, 50292, 71445, 58194, 59219, 58327, 54869, 51247, 51517, 50289, 71445, 72110, 58194, 59219, 54498, 51247, 51260, 50289, 61459, 68588, 57712, 56943, 55512, 53624, 51247, 51260, 50289, 61459, 68588, 57712, 56943, 55512, 52985, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 50454, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 50458, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 55881, 51592, 50956, 51592, 56546, 68858, 50906, 62727, 50965, 56180, 51001, 70430, 51028, 62565, 50876, 55514, 51197, 50933, 50956, 50933, 50951, 72921, 51197, 50933, 50956, 50933, 50931, 65897, 51197, 50933, 50956, 50933, 50968, 50933, 57551, 51592, 50916, 51592, 51062, 50933, 50418, 50951, 64987, 50931, 55656, 50968, 68858, 50902, 62727, 50876, 56180, 50951, 70430, 50931, 62565, 50968, 55514, 51315, 50933, 60471, 51430, 72921, 51315, 50933, 60471, 51146, 65897, 51315, 50933, 60471, 51062, 50933, 54197, 58194, 51517, 50333, 50933, 50418, 51062, 64987, 51081, 55656, 79099, 73773, 50931, 68858, 79099, 73773, 51081, 62727, 79099, 73773, 51062, 56180, 51247, 71445, 51517, 50333, 54980, 51050, 51172, 50459, 66742, 55435, 51080, 60564, 57643, 64079, 52718, 50900, 73196, 50906, 57643, 64079, 53581, 63489, 50906, 57643, 64079, 56517, 65058, 57346, 51080, 60564, 57643, 64079, 52718, 51050, 73196, 50906, 57643, 64079, 52985, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 57131, 51050, 70529, 61048, 76890, 76604, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 53624, 51050, 57292, 57643, 64079, 52985, 51040, 72921, 50997, 57131, 50906, 57643, 64079, 70529, 56963, 56178, 67778, 67108, 60299, 51405, 54889, 67108, 60299, 51405, 52739, 51001, 65300, 51517, 50331, 56350, 51001, 57945, 51260, 50331, 52985, 51050, 51172, 50931, 60472, 51260, 50333, 53581, 50931, 60472, 51260, 50333, 56517, 66742, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 78369, 50906, 57643, 64079, 57060, 50997, 52989, 50871, 65817, 50906, 57643, 64079, 56517, 63489, 55694, 62666, 50931, 64079, 51260, 50333, 53052, 50931, 64079, 51260, 50333, 52718, 50997, 60700, 64079, 51260, 50333, 53624, 50931, 64079, 51260, 50333, 52985, 51040, 50933, 76890, 51081, 50933, 51339, 72921, 57846, 76890, 51081, 50933, 51339, 65897, 74180, 76890, 51081, 50933, 51339, 50933, 54578, 51283, 60564, 57643, 64079, 53052, 51040, 53720, 50997, 52788, 51050, 56350, 50906, 57643, 64079, 52985, 51050, 65817, 50906, 57643, 64079, 56517, 66742, 55435, 51592, 60564, 57643, 64079, 53052, 50906, 57643, 64079, 52718, 50877, 57643, 60472, 53624, 50877, 57643, 60472, 52985, 51050, 51172, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 65897, 61048, 76890, 50999, 62908, 66742, 55435, 51080, 60564, 57643, 64079, 52718, 50900, 73196, 50906, 57643, 64079, 53581, 63489, 50906, 57643, 64079, 56517, 65058, 57346, 51080, 60564, 57643, 64079, 52718, 51050, 73196, 50906, 57643, 64079, 52985, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 57131, 51050, 70529, 61048, 76890, 76604, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 53624, 51050, 57292, 57643, 64079, 52985, 51040, 72921, 50997, 57131, 50906, 57643, 64079, 70529, 56963, 56178, 67778, 67108, 60299, 51405, 54889, 67108, 60299, 51405, 52739, 51001, 65300, 51517, 50331, 56350, 51001, 57945, 51260, 50331, 52985, 51050, 51172, 50931, 60472, 51260, 50333, 53581, 50931, 60472, 51260, 50333, 56517, 66742, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 78369, 50906, 57643, 64079, 57060, 50997, 52989, 50871, 65817, 50906, 57643, 64079, 56517, 63489, 55694, 62666, 50931, 64079, 51260, 50333, 53052, 50931, 64079, 51260, 50333, 52718, 50997, 60700, 64079, 51260, 50333, 53624, 50931, 64079, 51260, 50333, 52985, 51040, 50933, 76890, 51081, 50933, 51339, 72921, 57846, 76890, 51081, 50933, 51339, 65897, 74180, 76890, 51081, 50933, 51339, 50933, 54578, 51283, 60564, 57643, 64079, 53052, 51040, 53720, 50997, 52788, 51050, 56350, 50906, 57643, 64079, 52985, 51050, 65817, 50906, 57643, 64079, 56517, 66742, 59733, 51260, 50336, 54177, 51081, 51260, 50335, 52688, 51062, 51260, 50336, 53052, 51081, 51260, 50335, 52718, 51062, 51260, 50336, 53624, 51081, 51260, 50335, 52985, 50900, 51517, 50324, 51260, 50333, 53581, 50951, 51260, 50332, 50838, 54578, 51283, 51147, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50931, 65348, 52718, 50861, 51517, 50324, 51260, 50333, 53624, 50931, 65348, 52985, 51147, 51260, 50333, 68927, 50965, 54232, 50931, 65348, 67163, 50906, 50864, 57190, 51283, 51147, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50931, 65348, 52718, 50900, 51517, 50324, 51260, 50333, 53624, 50931, 65348, 52985, 50951, 51260, 50332, 53581, 50900, 58903, 65348, 50838, 54578, 51517, 50324, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50861, 57643, 65348, 52718, 50965, 51260, 50333, 51260, 50340, 53624, 50900, 65348, 51260, 50336, 52985, 50965, 51260, 50333, 51260, 50340, 68927, 50900, 54232, 50876, 65348, 51260, 50336, 50838, 55694, 51680, 51146, 51260, 50338, 54177, 51081, 51260, 50333, 52688, 51146, 51260, 50338, 53052, 51081, 51260, 50333, 52718, 51146, 51260, 50338, 53624, 51081, 51260, 50333, 52985, 50900, 74616, 51260, 50335, 53581, 50951, 51260, 50332, 50838, 54578, 51517, 50324, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50861, 57643, 65348, 52718, 50965, 65505, 51260, 50333, 53624, 50931, 65348, 65390, 50871, 53996, 50876, 65505, 51260, 50333, 53581, 50931, 65348, 67163, 50965, 50864, 56229, 51517, 50324, 51260, 50333, 54177, 50931, 51517, 50329, 52688, 51147, 51260, 50333, 53052, 50931, 51260, 50329, 52718, 50871, 51517, 50324, 51260, 50333 ]
[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 42, 765, 2214, 7630, 6568, 10, 2933, 8, 5386, 5466, 6, 20455, 9, 10, 822, 50, 177, 19834, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 163, 43531, 6, 230, 6, 274, 119, 6, 163, 43531, 6, 8, 274, 6, 1271, 7, 63, 25306, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 54458, 50418, 56495, 51407, 50425, 53640, 50975, 50433, 60914, 73064, 53640, 50975, 50448, 60914, 51300, 50456, 53334, 50975, 51601, 52049, 74377, 53334, 50975, 53640, 74512, 53324, 50975, 53382, 60363, 52049, 50975, 53640, 74661, 53640, 50811, 52292, 73704, 54073, 57795, 53640, 58614, 54073, 55552, 53640, 50811, 53296, 50993, 50455, 54073, 60370, 52205, 54871, 54073, 56628, 52205, 51300, 52591, 53334, 50975, 50428, 52049, 50975, 50435, 60914, 50823, 53334, 50975, 50439, 54066, 69455, 53382, 50823, 53324, 73704, 53640, 53798, 54073, 50823, 52049, 72747, 52205, 56250, 53640, 50811, 52292, 50975, 50460, 54073, 50811, 50799, 53640, 62601, 54073, 60208, 53640, 50811, 53296, 50993, 50419, 54073, 59852, 52205, 54381, 54073, 58099, 52205, 50975, 50433, 66262, 50823, 53334, 50975, 50436, 58683, 70736, 60914, 50823, 52049, 58919, 54066, 70290, 53382, 50823, 53334, 50975, 50452, 53640, 64776, 53324, 50975, 53382, 50975, 51601, 52049, 50975, 53640, 51066, 50422, 52292, 50975, 50424, 54073, 52968, 53640, 61347, 54073, 58459, 53640, 50811, 53296, 60493, 54073, 57485, 52205, 58212, 54073, 57784, 52205, 51029, 50445, 53334, 75255, 52049, 50975, 50460, 53640, 50975, 53334, 51072, 52591, 53382, 67233, 53640, 64262, 54769, 50975, 54073, 51059, 50435, 52550, 50975, 50442, 60914, 50975, 54769, 63758, 54066, 60111, 60914, 56250, 53296, 50975, 58683, 51059, 52177, 52573, 50975, 50425, 52342, 50975, 53296, 64414, 52205, 65733, 54073, 70736, 53334, 50975, 53640, 51059, 50447, 52049, 50975, 50455, 54081, 50975, 53334, 50993, 51601, 53382, 59889, 53640, 56733, 54769, 50975, 54073, 51059, 50430, 52550, 50975, 50437, 54769, 50975, 60914, 50975, 50445, 60914, 50823, 53296, 51407, 50449, 54066, 71524, 58683, 54178, 60914, 67903, 54066, 50823, 57354, 51059, 51809, 53382, 55573, 53640, 60134, 54073, 64262, 52205, 64058, 52342, 59184, 53334, 50975, 52895, 51072, 50442, 52049, 58981, 60914, 50975, 53334, 51072, 50457, 52662, 50975, 52177, 52292, 50975, 60914, 51059, 50425, 52242, 59959, 60914, 50975, 52292, 51072, 50440, 53640, 73704, 52049, 50975, 60914, 51059, 50455, 52443, 50975, 50799, 60914, 50975, 52049, 51072, 50422, 60914, 53537, 54066, 58656, 53382, 50823, 53571, 50975, 50433, 53640, 61109, 52662, 50823, 53029, 73064, 52205, 67505, 52342, 50823, 53249, 51072, 50448, 52895, 71524, 52342, 59154, 52895, 52884, 52044, 58150, 52895, 59616, 53296, 50975, 52044, 51072, 53069, 52573, 50975, 50427, 52342, 50975, 53296, 51072, 50434, 53731, 50975, 50442, 53334, 50975, 52205, 63399, 52049, 50975, 50457, 52205, 50975, 53334, 51072, 52177, 53640, 60861, 52662, 53213, 53640, 57646, 52662, 75800, 52292, 50975, 50428, 52662, 54179, 53382, 50811, 52573, 73637, 53640, 58212, 53382, 57784, 53640, 63747, 53296, 50975, 50443, 53640, 59981, 54066, 50811, 53249, 50975, 50449, 53382, 58614, 54066, 55552, 53382, 67897, 53571, 77567, 53382, 50823, 50799, 60914, 50811, 53296, 50975, 50416, 54066, 60208, 60914, 53213, 54066, 60449, 53334, 50975, 50425, 60914, 58814, 54066, 50811, 52292, 50975, 50431, 53382, 59009, 54066, 54496, 53382, 62472, 52242, 50975, 50440, 53382, 55380, 60914, 50811, 52443, 74661, 54066, 59788, 60914, 52768, 54066, 69986, 53334, 50975, 50455, 60914, 57239, 54066, 50811, 52292, 50975, 50461, 53382, 50811, 51601, 54066, 55804, 53382, 66576, 53249, 74377, 53382, 53537, 60914, 50811, 53296, 50975, 50428, 54066, 58459, 60914, 52726, 54066, 59898, 56495, 60363, 60914, 59475, 54066, 50811, 59988, 51009, 50443, 53382, 59135, 54066, 55059, 53382, 57795, 54066, 58614, 53382, 51072, 51809, 53382, 50975, 50424, 58683, 50975, 50431, 52443, 50975, 57557, 51059, 50439, 53322, 74661, 53640, 50975, 53334, 51072, 50454, 53382, 52884, 53640, 58150, 52662, 59616, 53640, 56628, 51975, 50975, 52662, 51059, 55753, 52242, 50975, 50429, 60914, 50975, 52292, 51072, 50436, 71461, 58919, 51975, 50975, 60914, 51059, 50451, 52242, 50975, 50459, 53382, 50975, 52292, 51072, 52478, 53382, 59216, 53296, 50975, 57557, 51059, 50434, 53882, 73064, 53296, 50975, 58683, 50975, 50449, 60914, 50823, 53334, 75255, 71461, 54178, 53382, 50823, 53322, 50975, 50460, 60914, 50823, 51809, 53640, 51066, 52292, 51059, 50423, 53571, 50975, 50425, 52662, 58860, 53640, 54935, 52662, 58221, 53296, 50975, 52662, 50975, 50439, 53571, 50975, 53640, 51072, 50446, 57354, 51059, 50454, 71461, 50975, 50461, 58683, 50975, 55753, 52443, 50975, 57557, 51059, 50428, 53322, 50975, 50436, 53640, 50975, 53334, 63757, 53382, 57915, 53640, 55059, 52662, 57795, 53640, 58614, 51975, 50975, 52662, 51059, 50459, 52242, 50975, 52478, 60914, 50975, 52292, 66489, 71461, 50975, 50433, 51975, 50975, 60914, 51059, 50441, 52242, 50975, 50449, 53382, 50975, 52292, 64531, 53382, 50975, 51809, 53296, 50975, 57557, 51059, 50423, 53882, 50975, 50431, 53296, 50975, 58683, 60363, 60914, 50823, 53334, 50975, 50442, 71461, 56695, 53382, 50823, 53322, 58981, 60914, 60111, 53640, 50975, 52292, 51059, 50461, 53640, 50811, 53571, 51072, 51601, 52662, 55804, 53640, 60861, 52662, 59852, 53382, 57646, 53640, 58242, 53382, 52968, 53640, 63022, 53296, 59959, 53640, 65733, 54066, 50811, 53249, 60363, 53382, 59071, 54066, 55092, 53382, 62148, 53571, 73704, 53382, 66054, 60914, 50811, 53296, 75255, 54066, 59730, 60914, 52884, 54066, 59868, 56495, 50975, 50799, 60914, 59889, 54066, 50811, 53571, 62420, 53382, 57646, 54066, 58242, 53382, 65214, 53249, 50975, 50429, 53382, 61964, 60914, 50811, 53296, 50975, 50435, 54066, 57784, 60914, 59071, 54066, 67586, 56495, 58919, 60914, 70290, 54066, 50811, 53571, 58981, 53382, 62161, 54066, 59154, 53382, 52325, 53249, 50975, 50459, 53382, 50823, 51601, 54066, 50823, 53296, 51059, 50419, 58683, 60134, 54066, 53537, 53382, 58656, 53640, 55996, 52662, 53925, 52205, 50823, 52573, 50975, 50442, 53731, 67505, 52205, 50823, 53334, 51059, 50449, 52662, 58615, 53640, 50823, 56495, 50975, 50457, 53382, 62181, 54066, 50811, 52292, 50975, 50799, 53382, 62601, 54066, 60208, 53382, 53213, 54066, 50811, 53571, 72693, 53382, 58242, 53640, 52968, 53382, 61347, 54066, 50823, 53296, 51009, 50431, 58683, 59184, 54066, 65196, 53382, 69455, 53640, 56695, 52662, 53798, 52205, 50823, 52573, 72747, 53731, 56250, 52205, 50823, 53334, 51059, 50799, 66262, 61410, 60914, 50823, 56495, 50975, 50421, 53382, 63606, 53640, 51066, 53571, 51059, 50433, 59988, 73637, 52662, 58212, 53640, 52952, 52662, 61746, 53640, 51009, 57354, 51407, 56020, 56495, 51407, 50430, 53640, 60363, 60914, 50975, 50445, 53640, 75255, 60914, 51059, 50460, 53334, 50975, 52591, 52292, 50975, 57557, 51059, 50427, 52049, 51072, 50435, 57557, 57784, 53382, 59071, 57557, 55092, 53382, 71138, 53324, 74661, 53382, 53798, 53382, 50811, 52049, 50975, 50452, 53640, 59154, 53382, 52884, 53640, 59868, 52740, 50975, 50461, 53640, 50823, 52177, 53640, 50811, 52292, 50975, 50419, 54073, 59852, 53640, 54381, 54073, 65214, 52292, 50975, 50428, 54073, 54179, 54073, 50811, 52740, 73637, 52205, 58212, 54073, 52952, 52205, 67586, 52550, 63757, 52205, 59981, 52205, 57795, 52342, 58614, 52205, 55552, 52342, 60646, 53882, 50975, 50459, 52342, 50823, 50799, 52342, 50811, 52550, 50975, 50416, 52416, 60208, 52342, 53213, 52416, 60449, 53296, 59216, 52416, 58656, 52342, 50823, 54769, 50975, 50433, 52342, 61109 ]
[ 0, 250, 765, 37903, 9, 15855, 930, 19, 5175, 4785, 6, 4246, 10, 15352, 30054, 8, 20425, 6711, 4, 85, 18, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 274, 119, 6, 230, 10431, 6, 2060, 119, 1176, 406, 6, 274, 6, 8, 274, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 59626, 51234, 52115, 50997, 51631, 50906, 51736, 51234, 51646, 50931, 51918, 50997, 51798, 51028, 51923, 50997, 50795, 54960, 52115, 51234, 51631, 51028, 51736, 50997, 51646, 50876, 51918, 50965, 51798, 51234, 51923, 50906, 50795, 59130, 52115, 50989, 51631, 50906, 51736, 51378, 51646, 50931, 51918, 50989, 51798, 51028, 51923, 50989, 50795, 60497, 52115, 51360, 51631, 50931, 51736, 51040, 51646, 51001, 51918, 50900, 51798, 50931, 51923, 50900, 50795, 54662, 52115, 50997, 51631, 50906, 51736, 51234, 51646, 50931, 51918, 50997, 51798, 51028, 51923, 50997, 50795, 54960, 52115, 51234, 51631, 51028, 51736, 50997, 51646, 50876, 51918, 50965, 51798, 51234, 51923, 50906, 50795, 59130, 52115, 50989, 51631, 50906, 51736, 51378, 51646, 50931, 51918, 50989, 51798, 51028, 51923, 50989, 50795, 60820, 52115, 51360, 51631, 51147, 51736, 51040, 51646, 51001, 51918, 50900, 51798, 50931, 51923, 50900, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 0, 250, 2933, 8, 15352, 30054, 15855, 2125, 6, 19, 10, 11602, 9, 25306, 27456, 6, 4246, 5, 15651, 3222, 5785, 9, 4401, 757, 3178, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 13305, 4, 8504, 11, 5, 762, 9, 230, 3694, 8, 1375, 23, 41, 12447, 1001, 20889, 6, 42, 765, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 119, 406, 6, 8, 272, 119, 406, 1271, 7, 63, 36355, 2088, 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 ]	[ 58375, 52206, 52024, 52206, 52024, 52206, 52024, 55760, 52024, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50796, 50799, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50438, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50799, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50297, 51293, 78741, 51293, 78741, 51293, 57689, 51293, 57689, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50292, 51293, 50664, 50300, 51293, 50664, 50300, 51293, 63089, 51293, 63089, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50295, 51293, 50664, 50302, 51293, 50664, 50302, 51293, 75384, 51293, 75384, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50335, 50859, 50418, 50665, 50330, 73888, 50665, 50328, 50859, 54379, 70884, 68919, 50859, 52789, 62209, 66346, 50859, 52901, 50833, 54379, 73418, 66509, 50859, 52277, 50833, 52789, 64662, 50665, 50311, 50859, 52364, 50833, 52901, 50844, 54379, 65859, 50665, 50306, 50859, 53165, 50833, 52277, 50844, 52789, 62884, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50335, 50859, 54652, 50833, 52364, 50844, 52901, 69859, 50665, 50330, 50859, 56434, 50833, 53165, 50844, 52277, 64300, 50665, 50328, 50859, 54652, 50844, 52364, 50822, 54379, 70832, 68919, 50859, 56434, 50844, 53165, 50822, 52789, 67509, 66346, 50859, 54652, 50822, 52901, 66145, 66509, 50859, 56434, 50822, 52277, 62474, 50665, 50311, 50859, 52364, 72070, 50665, 50306, 50859, 53165, 50833, 51601, 55760, 51077, 55760, 51077, 56163, 52212, 56163, 52212, 63089, 51359, 71628, 51655, 71628, 51655, 64822, 51655, 64822, 51655, 50439, 55760, 51077, 55760, 51077, 56163, 52212, 56163, 52212, 51601, 70472, 51077, 70472, 51077, 60513, 52212, 60513, 52212, 78741, 51359, 62760, 51655, 62760, 51655, 57673, 51655, 57673, 51655, 50439, 70472, 51077, 70472, 51077, 60513, 52212, 60513, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 74851, 51264, 63826, 51655, 63826, 53363, 71628, 53090, 71628, 54834, 50440, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51809, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50329, 50889, 50665, 50329, 51655, 50428, 50665, 50328, 50889, 58456, 51538, 50440, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 79252, 50889, 50666, 50324, 51077, 50452, 74771, 50889, 63826, 50889, 51809, 63716, 51077, 63716, 51077, 51476, 52024, 50665, 50304, 67379, 51303, 52024, 50665, 50309, 76575, 72842, 50805, 53799, 56300, 50434, 74771, 50805, 63826, 54834, 50440, 63716, 51077, 63716, 51077, 66929, 50805, 52592, 53090, 50446, 79252, 51141, 50666, 50324, 53090, 51809, 63716, 51077, 63716, 51077, 50440, 60196, 51077, 60196, 51077, 51809, 55760, 51623, 55760, 51623, 51476, 52024, 50665, 50304, 67379, 51303, 52024, 50665, 50309, 76575, 72842, 50805, 53799, 56300, 50434, 74771, 50805, 63826, 54834, 50440, 68919, 50805, 52796, 53090, 50443, 55760, 51446, 55760, 51446, 50446, 50665, 50326, 51446, 73344, 53090, 51809, 55760, 51077, 55760, 51077, 50440, 55760, 51077, 55760, 51077, 52177, 63716, 51077, 63716, 51623, 52303, 52024, 50665, 50302, 67379, 51687, 52024, 50665, 50307, 58983, 68048, 50805, 55463, 56300, 50434, 66509, 50805, 57057, 54834, 50441, 63716, 51077, 66929, 50805, 52592, 53090, 50444, 63716, 51446, 50447, 50665, 50326, 51446, 73344, 53090, 52177, 63716, 51077, 63716, 51077, 50441, 63716, 51077, 63716, 51077, 52177, 51964, 52024, 51964, 52024, 54437, 52024, 54437, 52024, 50665, 50280, 52024, 50665, 50280, 52024, 77433, 52024, 50668, 50280, 52024, 50668, 50280, 53002, 50796, 52177, 50652, 50273, 51077, 50652, 50273, 51077, 52205, 50859, 59988, 51432, 59614, 63560, 52205, 55747, 52895, 50859, 52205, 53950, 52895, 50859, 52205, 58129, 52443, 50833, 59614, 51264, 50432, 52443, 55098, 52292, 50833, 52895, 53415, 52292, 50833, 52895, 58935, 50652, 50273, 51077, 50652, 50273, 51077, 52895, 50833, 52205, 53783, 52895, 50833, 52205, 55876, 52443, 50844, 52895, 54004, 52443, 50844, 52895, 58305, 52443, 50827, 52443, 54194, 52443, 50827, 52443, 56569, 52292, 50827, 52292, 50827, 50799, 52292, 50827, 52292, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 52205, 50859, 59988, 51432, 58872, 51696, 50420, 52205, 55747, 52895, 50859, 52205, 53950, 51981, 57676, 52895, 50859, 52205, 65337, 52443, 53627, 52443, 55098, 52292, 50833, 52895, 65833, 52292, 50833, 52895, 72473, 50652, 50273, 51077, 50652, 50273, 51077, 52895, 50833, 52205, 53783, 52895, 50833, 52205, 55876, 52443, 50844, 52895, 67447, 52443, 50844, 52895, 69500, 52443, 50827, 52443, 54194, 52443, 50827, 52443, 70568, 52292, 50827, 52292, 50827, 51601, 52292, 50827, 52292, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 51476, 51293, 51231, 51293, 51231, 51293, 64974, 50859, 54470, 76194, 64974, 72417, 58658, 50859, 64974, 66086, 51981, 51696, 58658, 50859, 64974, 65337, 54548, 60462, 54548, 66144, 53328, 50833, 58658, 65833, 53328, 50833, 58658, 72473, 50652, 50273, 51077, 50652, 50273, 51077, 58658, 50833, 64974, 71696, 58658, 50833, 64974, 71765, 54548, 50844, 58658, 67447, 54548, 50844, 58658, 69500, 54548, 50827, 54548, 66849, 54548, 50827, 54548, 70568, 53328, 50827, 53328, 50827, 51601, 53328, 50827, 53328, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 53001, 51551, 54872, 51293, 51687, 51293, 51687, 51293, 56549, 51627, 56549, 51080, 50430, 53001, 51356, 50439, 56549, 51080, 50442, 50652, 50273, 51077, 50652, 50273, 51077, 52932, 51551, 56549, 51080, 50454, 52932, 51356, 51601, 56549, 51080, 50418, 50652, 50273, 51077, 50652, 50273, 51077, 51825, 52282, 52303, 51293, 51303, 51293, 51303, 51293, 56549, 51080, 50430, 51825, 51941, 50439, 56549, 51080, 50442, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 51601, 56549, 51080, 50418, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 50665, 50335, 73888, 50665, 50330, 72417, 50665, 50328, 50859, 54379, 62209, 68919, 50859, 52789, 65197, 66346, 50859, 52901, 50833, 54379, 64662, 66509, 50859, 52277, 50833, 52789, 68522, 50665, 50311, 50859, 52364, 50833, 52901, 50844, 54379, 62884, 56549, 51080, 50665, 50306, 50859, 53165, 50833, 52277, 50844, 52789, 69859, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 50665, 50335, 50859, 54652, 50833, 52364, 50844, 52901, 64300, 50665, 50330, 50859, 56434, 50833, 53165, 50844, 52277, 69300, 50665, 50328, 50859, 54652, 50844, 52364, 50822, 54379, 67509, 68919, 50859, 56434, 50844, 53165, 50822, 52789, 66145, 66346, 50859, 54652, 50822, 52901, 62474, 66509, 50859, 56434, 50822, 52277, 72070, 50665, 50311, 50859, 52364 ]
[ 0, 713, 14899, 5175, 2214, 11, 2060, 538, 22750, 1626, 11098, 8, 10563, 6, 3185, 30, 5, 20902, 3222, 5785, 9, 3741, 27374, 594, 6, 20535, 2810, 6, 579, 1517, 20426, 31365, 25999, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21979, 8669, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 5204, 2365, 619, 1328, 6, 17407, 30, 5, 16331, 33215, 13931, 9, 12608, 406, 6, 274, 406, 73, 250, 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 ]	[ 54458, 50796, 50796, 50799, 51769, 59520, 63974, 57705, 51587, 53403, 51587, 56616, 64465, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 53040, 51587, 63974, 56650, 51587, 56616, 60159, 51769, 59520, 54847, 51587, 53057, 51587, 63974, 56246, 51587, 73108, 53685, 51587, 56616, 67172, 51587, 56616, 50388, 55550, 50884, 72411, 63974, 64494, 66335, 51587, 53403, 51587, 54316, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 56616, 60364, 51587, 63974, 56650, 51587, 52986, 51769, 59520, 56616, 64046, 51587, 56616, 57887, 51587, 63974, 56246, 51587, 56616, 50388, 55550, 53685, 51587, 54991, 51587, 56616, 51010, 50799, 51769, 59520, 63974, 57705, 51587, 53403, 51587, 56616, 64465, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 53040, 51587, 63974, 64494, 68491, 51587, 52986, 51769, 59520, 56616, 64046, 51587, 56616, 57887, 51587, 63974, 56246, 51587, 73108, 53685, 51587, 56616, 67172, 51587, 56616, 50388, 55550, 50884, 50799, 65662, 52208, 70244, 52379, 51587, 63974, 64494, 66335, 51587, 53403, 51587, 54316, 51587, 56616, 50388, 55550, 50884, 51694, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 51587, 56616, 60896, 51587, 56616, 60364, 50816, 56804, 64494, 64329, 51031, 50440, 50816, 50846, 53525, 56804, 59808, 50816, 53239, 50816, 75877, 59263, 64329, 50834, 56594, 55354, 50816, 56804, 58078, 50816, 50846, 51899, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 50816, 56804, 50834, 56032, 50846, 53206, 56804, 56616, 74380, 50816, 50846, 50799, 52747, 51483, 54348, 51653, 61708, 51653, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 51459, 75877, 59520, 63974, 53498, 56390, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50923, 56418, 50911, 52723, 51459, 56804, 63292, 61184, 51587, 56616, 60159, 57865, 51010, 53863, 51173, 59930, 50879, 53232, 50882, 55042, 57575, 58019, 59520, 54847, 53631, 51010, 54242, 69529, 53057, 57178, 51010, 56853, 50821, 57518, 50859, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 51045, 52723, 51459, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 51010, 53469, 50882, 54095, 57575, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 54380, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 53509, 56429, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 54380, 51010, 53509, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 57865, 50950, 55042, 51045, 52723, 51459, 56804, 63292, 61184, 51587, 52986, 57865, 51010, 55042, 54168, 52546, 58019, 59263, 64329, 54847, 51587, 56616, 57887, 52747, 51653, 54348, 51932, 61708, 51653, 53631, 50950, 54242, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 53631, 51010, 54242, 54701, 63974, 54991, 51587, 56616, 51010, 50799, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 52281, 59520, 56804, 63974, 57705, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50911, 56418, 50923, 52723, 51459, 56804, 64494, 64329, 61184, 51587, 52986, 57865, 51010, 53863, 50924, 59930, 50806, 53232, 50882, 55042, 57575, 58019, 59520, 56616, 64046, 53631, 51010, 54242, 69529, 56616, 57887, 57178, 51010, 56853, 50806, 57518, 51173, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 56853, 50882, 74146, 50882, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 54168, 63856, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 50950, 53469, 50882, 54095, 69951, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 53133, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 54238, 64839, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53133, 51010, 54238, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 56520, 50950, 56820, 51045, 52723, 51459, 56804, 64494, 64329, 61184, 53152, 51010, 52578, 64329, 52986, 52489, 51010, 52747, 51010, 56520, 50950, 56820, 54168, 52546, 58019, 59263, 64329, 54847, 53152, 50930, 52578, 64329, 53057, 52310, 51010, 53170, 51010, 55096, 50950, 58606, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 52489, 51010, 52747, 64329, 56616, 50388, 55550, 53685, 53152, 51010, 52578, 51010, 55096, 51010, 58606, 57575, 63974, 54991, 52489, 51010, 52747, 64329, 56616, 51010, 50799, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 52281, 59520, 56804, 63974, 53498, 56390, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50923, 56418, 50911, 52723, 51459, 56804, 63292, 61184, 51587, 56616, 60159, 57865, 51010, 53863, 51173, 59930, 50879, 53232, 50882, 55042, 57575, 58019, 59520, 54847, 53631, 51010, 54242, 69529, 53057, 57178, 51010, 56853, 50821, 57518, 50859, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 51045, 52723, 51459, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 51010, 53469, 50882, 54095, 57575, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 54380, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 53509, 56429, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 54380, 51010, 53509, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 57865, 50950, 55042, 51045, 52723, 51459, 56804, 63292, 61184, 51587, 52986, 57865, 51010, 55042, 54168, 52546, 58019, 59263, 64329, 54847, 51587, 56616, 57887, 52747, 51653, 54348, 51653, 61708, 51653, 53631, 50950, 54242, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 53631, 51010, 54242, 54701 ]
[ 0, 250, 15855, 2125, 19, 10, 19834, 16464, 6, 42, 30389, 28668, 2214, 11, 381, 3694, 1931, 21683, 10, 32076, 8, 15352, 30054, 5466, 6, 1969, 13, 10, 822, 50, 41, 9733, 4, 20, 13305, 8, 12280, 3275, 1725, 3109, 4477, 159, 5, 46336, 4811, 6, 150, 5, 579, 1517, 20426, 31365, 25999, 1239, 5, 483, 6, 2800, 30, 5, 41063, 15796, 24456, 9, 21072, 8, 21979, 9590, 4, 20, 16331, 33215, 16739, 9, 3676, 406, 6, 83, 6, 8, 163, 119, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]	[ 56103, 50796, 62987, 51103, 56531, 51277, 59930, 52204, 51925, 53023, 52876, 50904, 52803, 50886, 54148, 53816, 52670, 50801, 52818, 52876, 50864, 52803, 50825, 54148, 53944, 52896, 51273, 51103, 54708, 53783, 54033, 50941, 52978, 50829, 54816, 53816, 52772, 50801, 58351, 54708, 54583, 54033, 50870, 52978, 50829, 54816, 53816, 50825, 56098, 51413, 54764, 55587, 55142, 50825, 54148, 50813, 52837, 54640, 52641, 50801, 60741, 50902, 51775, 50432, 55142, 50825, 77976, 52837, 55147, 52896, 51493, 50915, 54764, 58344, 51146, 51775, 50444, 55142, 50837, 54148, 50829, 52837, 60822, 72415, 51618, 53533, 51273, 67294, 58351, 54708, 54139, 51430, 51534, 50456, 54033, 50863, 52978, 50834, 54816, 59036, 50843, 50928, 51621, 50828, 62987, 51103, 56531, 50859, 51402, 57236, 52876, 50941, 52803, 50864, 54148, 55716, 50908, 51510, 51258, 55057, 55170, 50835, 51532, 57617, 52876, 50864, 52803, 50863, 54148, 56129, 52766, 51273, 51127, 54708, 52510, 54033, 50864, 52978, 50835, 54816, 53944, 52772, 50801, 58351, 54708, 52485, 54033, 50904, 79672, 54816, 54640, 50825, 56098, 51397, 54764, 55105, 55142, 50835, 54148, 50829, 52837, 54640, 52641, 50801, 55001, 51114, 60675, 55142, 50829, 54148, 50835, 52837, 70789, 51166, 50843, 54034, 51146, 51542, 79589, 53269, 51493, 51003, 54764, 59360, 59930, 51058, 50442, 51787, 68982, 55142, 50835, 54148, 50829, 52837, 50837, 54985, 50912, 51842, 50445, 51487, 50907, 55894, 51004, 51618, 60954, 53863, 69774, 52912, 51373, 53430, 51273, 51124, 59683, 58351, 54708, 50809, 55226, 50955, 50452, 55602, 51365, 54710, 65496, 53117, 53820, 54033, 50904, 52978, 50857, 54816, 50820, 53863, 61551, 57059, 51487, 58247, 51493, 50864, 56213, 50907, 79651, 51787, 50941, 62987, 51127, 56531, 54692, 56075, 55602, 55584, 50416, 51430, 52263, 53440, 57236, 52876, 50864, 52803, 50864, 54148, 55316, 53423, 53771, 52147, 50843, 51258, 55057, 53669, 50835, 53764, 63256, 52876, 50864, 52803, 50941, 54148, 50867, 52261, 64993, 58930, 51273, 51103, 54708, 55250, 50825, 54268, 57278, 54033, 50941, 79672, 54816, 51539, 55354, 50843, 56663, 50843, 53617, 58351, 54708, 50840, 54710, 59923, 54033, 50904, 52978, 50837, 54816, 51833, 50884, 55975, 51258, 56098, 51397, 54764, 79434, 51203, 50843, 56166, 50973, 51051, 50843, 57236, 55142, 50886, 54148, 50835, 52837, 64026, 69707, 53423, 50973, 57821, 51258, 55057, 53669, 58815, 51220, 51309, 50429, 50973, 51051, 50843, 63256, 55142, 50829, 77976, 52837, 51833, 59076, 51001, 52179, 50951, 51534, 50435, 52659, 61551, 51306, 50436, 50973, 54584, 51493, 50901, 54764, 79434, 59301, 54905, 50973, 71986, 57278, 51705, 50905, 55142, 50829, 54148, 50829, 52837, 51833, 58953, 50951, 50892, 59341, 51258, 50448, 50973, 54004, 51098, 51172, 56213, 51965, 50843, 53617, 58351, 54708, 77786, 51124, 54710, 79104, 50973, 54194, 54033, 50904, 52978, 50835, 54816, 78945, 51212, 50852, 54026, 51493, 73849, 50822, 62987, 51127, 56531, 50812, 51220, 51100, 50417, 50973, 56395, 64040, 53250, 51376, 50420, 52876, 50864, 52803, 50904, 54148, 63269, 51328, 50791, 53423, 50973, 55638, 51258, 50424, 53077, 52580, 51062, 69022, 53669, 58815, 54812, 70545, 50973, 61005, 51693, 50430, 51146, 51124, 50431, 56213, 54557, 50432, 52876, 50886, 52803, 50886, 54148, 50857, 52261, 50433, 50951, 64945, 50843, 51306, 50436, 50973, 55666, 51273, 51145, 54708, 79969, 68753, 54905, 50973, 61005, 57278, 54033, 50904, 52978, 50835, 54816, 78945, 51058, 75764, 50973, 56661, 56663, 51220, 51806, 50843, 53617, 58351, 54708, 50840, 53250, 51524, 50453, 50973, 51051, 50843, 51306, 50455, 53077, 55346, 54033, 50864, 52978, 50886, 54816, 78945, 60593, 56419, 69550, 54812, 50362, 51163, 51258, 56098, 51397, 54764, 77786, 51177, 50843, 57829, 56213, 51738, 50416, 50973, 54447, 51004, 53440, 64040, 50791, 54303, 55142, 50867, 54148, 50867, 52837, 70789, 51101, 50843, 54604, 50973, 51589, 70297, 53250, 58844, 51220, 51194, 50801, 54640, 54013, 50973, 50955, 53077, 51210, 70767, 55142, 50857, 54148, 50835, 52837, 58043, 57004, 50951, 50892, 54812, 51832, 51556, 63122, 63475, 56213, 76555, 51493, 51363, 54764, 54845, 56068, 51220, 50845, 50440, 59526, 54268, 59457, 64542, 50443, 50791, 54406, 55142, 50867, 54148, 50835, 52837, 55681, 57028, 50951, 55854, 51668, 50971, 51960, 50448, 69550, 50449, 54812, 53096, 50450, 51273, 51775, 50801, 55147, 58517, 54708, 79434, 51174, 50453, 51468, 50454, 50973, 59593, 54033, 50971, 52978, 50835, 54816, 73926, 53934, 58908, 71985, 50458, 55062, 55490, 50460, 51493, 73209, 50908, 62987, 51103, 56531, 51277, 50843, 52445, 50420, 52876, 50904, 52803, 50886, 54148, 51464, 62184, 50929, 52580, 58018, 51258, 50427, 51292, 73418, 51563, 53911, 52876, 50864, 52803, 50825, 54148, 64429, 55630, 60591, 51788, 60592, 51273, 51103, 54708, 56944, 51004, 50442, 51786, 63280, 54033, 50941, 52978, 50829, 54816, 51464, 55686, 51067, 58175, 57936, 69232, 54708, 59012, 51032, 65628, 54033, 50870, 52978, 50829, 54816, 53816, 58908, 50903, 59652, 51076, 50974, 56098, 51413, 54764, 56230, 51129, 50418, 51786, 70304, 55142, 50825, 54148, 50813, 52837, 51750, 60548, 51786, 51627, 50426, 58018, 53962, 55142, 50825, 77976, 52837, 55147, 59607, 52621, 51493, 50915, 54764, 52847, 54189, 55142, 50837, 54148, 50829, 52837, 51750, 52805, 51273, 50981, 57936, 76595, 54708, 52485, 54033, 50863, 52978, 50834, 54816, 53816, 63972, 54370, 50903, 50820, 62987, 51103, 56531, 56593, 53738, 52876, 50941, 52803, 50864, 54148, 50867, 51842, 50422, 68236, 50425, 51292, 57629, 58018, 64838, 51563, 54150, 52876, 50864, 52803, 50863, 54148, 62156, 55630, 54950, 51788, 51174, 68005, 51127, 54708, 52847, 77060, 51786, 58991, 54033, 50864, 52978, 50835, 54816, 51539, 54284, 51067, 55514, 57936, 51004, 50451, 54708, 57637, 51032, 51534, 50456, 54033, 50904, 79672, 54816, 54640, 58901, 50903, 50835, 56098, 51397, 51076, 51592, 54764, 55716, 54183, 55142, 50835, 54148, 50829, 52837, 51750, 52670, 50801, 54640, 54354, 55142, 50829, 54148, 50835, 52837, 58257, 53944, 59131, 56213, 54927, 51493, 51003, 54764, 52847, 56819, 54985, 50959, 50441, 50903, 53846, 71096, 55602, 54394, 55142, 50835, 54148, 50829, 52837, 51916, 60479, 53077, 57298, 50801, 63078, 53250, 51126, 59848, 51273, 51124, 57936, 51004, 50451, 54708, 50809, 56213, 54900, 54033, 50904, 52978, 50857, 54816, 50820, 55602, 51709, 50843, 63972, 55397, 51493, 62495, 50903, 50828, 62987, 51103, 56531, 54692, 63222, 53863, 54711, 52876, 50864, 52803, 50864, 54148, 50886, 74199, 60287, 53771, 54211, 50426, 51292, 50959, 58018, 51258, 50430, 51563, 54221, 52876, 50864, 52803, 50941, 54148, 60840, 55630, 54950, 51788, 60592, 51273, 51103, 54708, 55250, 66065, 51786, 61255, 54033, 50941, 79672, 54816, 51539, 55686, 51067, 64533, 57936, 69232, 54708, 61348, 51032, 72492, 54033, 50904, 52978, 50837, 54816, 55147, 58908, 50903, 54603, 70951, 56098, 51413, 54764, 54996, 51129, 50417, 51786, 61378, 55142, 50886, 54148, 50835, 52837, 50867, 74467, 51786, 55440, 58018, 78342, 51292, 69227, 51786, 79309, 55142, 50829, 77976, 52837, 55147, 59607, 52621, 51493, 50915, 54764, 54996, 50982, 51572, 54406, 55142, 50829, 54148, 50829, 52837, 51833, 54673, 50843, 54044, 51273, 50981, 57936, 76595, 54708, 60632, 51292, 59631, 54033, 50904 ]

[ 0, 250, 19448, 8, 5679, 26709, 3495, 2214, 19, 5175, 4785, 6, 4246, 41, 21979, 8669, 6, 2342, 4467, 6, 8, 6755, 12547, 217, 24896, 8, 3551, 139, 6, 2351, 10, 15352, 30054, 8, 1372, 5466, 14, 25362, 5, 30443, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 748, 1879, 4450, 20889, 9, 23703, 13410, 228, 2289, 8, 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 ]

[ 58375, 57732, 51365, 73490, 51915, 50912, 51915, 51051, 51368, 51210, 52143, 55856, 50421, 51915, 57051, 51332, 51824, 51915, 51128, 51915, 51376, 50433, 51915, 51319, 50437, 51915, 56006, 50988, 51166, 51368, 50972, 50439, 50885, 51470, 51223, 69655, 51915, 61013, 51332, 51166, 51915, 51128, 51915, 50972, 50457, 51915, 62298, 50988, 51365, 50885, 51862, 50868, 51862, 51368, 51051, 51223, 51210, 51350, 51210, 50461, 51915, 51297, 55753, 51915, 63521, 62092, 51223, 50984, 51350, 52946, 50424, 51332, 51269, 50425, 51915, 51269, 50434, 51915, 51851, 50435, 51332, 50912, 51223, 51550, 51350, 52101, 50438, 62092, 51332, 55811, 51915, 51365, 51915, 54887, 51368, 54386, 50446, 51915, 67676, 62092, 51223, 51832, 51350, 66674, 51332, 51142, 51915, 51269, 51915, 52179, 50457, 50988, 65241, 51915, 51297, 57732, 51051, 50988, 51210, 51915, 51022, 51915, 51051, 51368, 51210, 50421, 69644, 51915, 59197, 51332, 51376, 51915, 51269, 51915, 51376, 50434, 51915, 64212, 50988, 50972, 51368, 50972, 50439, 64646, 51915, 50907, 51223, 51174, 50445, 51915, 60678, 51332, 50972, 51915, 51252, 51915, 50972, 50457, 51915, 73706, 50988, 51051, 50885, 51210, 50868, 51210, 51368, 51051, 51223, 51210, 51350, 51210, 78100, 52134, 50422, 51915, 63140, 61220, 51223, 50851, 51350, 52179, 50424, 51332, 69118, 51915, 51550, 50435, 51332, 50851, 51915, 51319, 51223, 52101, 51350, 52101, 50438, 61220, 51332, 52782, 50988, 53024, 51915, 52782, 51368, 53024, 50439, 51915, 51862, 50446, 51915, 70853, 62092, 51223, 51269, 51350, 60205, 51332, 51142, 51915, 54088, 51915, 52192, 50458, 69644, 50799, 53398, 52829, 62092, 69906, 69906, 74571, 51332, 55068, 51915, 51269, 51299, 55856, 75226, 51126, 50868, 51319, 51915, 52134, 59812, 51128, 50868, 51319, 50885, 52179, 50868, 51365, 50847, 51803, 50868, 51742, 50885, 55408, 51565, 51742, 51915, 52134, 52064, 52980, 50433, 50885, 51297, 51915, 52514, 50434, 50868, 52445, 50437, 51915, 59580, 70887, 62092, 50885, 51862, 50868, 51365, 50444, 51915, 52101, 50445, 50885, 65434, 50868, 52445, 50450, 50868, 51269, 50885, 52179, 50885, 51524, 50868, 51365, 51915, 69249, 51565, 50892, 52130, 50972, 50457, 62092, 59865, 51915, 51319, 50458, 50872, 51313, 50850, 51151, 50461, 51915, 52134, 59560, 51210, 68346, 51686, 51939, 52249, 53142, 50415, 50885, 51851, 50872, 51319, 50421, 69076, 51915, 51319, 50422, 50872, 54689, 50885, 51851, 71205, 51915, 51832, 50427, 50872, 52445, 50434, 50885, 51126, 51915, 52514, 50438, 50885, 51365, 75814, 51915, 52946, 50439, 62092, 59865, 50446, 50885, 51126, 50872, 51297, 51915, 73792, 75979, 71421, 50885, 51365, 75814, 51565, 51043, 51915, 51832, 50458, 50885, 51126, 50872, 51126, 51915, 52134, 50799, 53398, 52720, 50868, 51000, 62092, 74948, 74305, 51332, 55068, 51915, 51550, 75226, 51128, 51915, 52514, 59812, 51297, 50868, 51319, 50885, 51365, 50868, 52179, 50868, 51803, 50847, 52168, 50885, 51680, 51565, 52015, 51915, 51832, 52064, 52783, 50433, 50885, 75116, 50868, 51319, 51915, 52514, 50438, 62092, 61047, 50885, 51210, 78665, 50439, 51915, 51252, 50445, 51915, 52514, 50446, 50885, 67676, 50868, 52445, 50450, 50885, 51269, 50885, 51824, 50868, 51824, 51915, 52101, 50451, 50868, 67301, 51565, 50892, 52130, 50972, 50457, 69076, 78761, 51915, 51851, 50458, 50872, 51445, 50885, 51671, 50850, 51359, 59560, 51126, 50872, 51297, 50872, 51524, 74305, 51686, 51677, 51915, 52835, 52249, 53142, 75226, 50908, 50872, 51297, 50422, 51915, 51851, 50425, 50885, 51319, 50872, 51297, 59812, 52192, 50872, 51824, 50427, 51915, 52462, 50433, 50885, 51258, 50434, 50872, 52445, 50435, 51915, 52514, 50438, 59398, 59865, 50885, 51862, 50872, 52167, 50439, 51915, 52946, 50445, 59973, 50446, 50872, 51128, 51915, 51851, 50449, 50872, 59038, 69865, 50885, 51524, 50872, 51824, 51565, 51411, 51915, 54887, 50457, 50885, 51126, 50872, 51128, 50799, 53398, 52204, 50868, 50971, 50868, 51210, 51332, 51717, 51915, 51269, 50415, 50885, 70145, 51915, 52134, 50422, 50885, 54654, 50885, 51126, 74948, 50885, 51524, 50868, 51452, 50847, 51680, 50885, 51803, 51565, 51675, 51915, 52134, 52064, 52168, 50428, 50868, 52445, 50433, 51915, 52514, 50437, 51915, 59580, 50885, 51365, 50868, 51365, 50439, 59398, 50868, 54947, 51915, 52101, 50446, 50885, 67676, 50868, 52445, 50450, 50885, 51524, 50885, 52192, 50868, 51824, 51915, 52134, 50451, 50868, 61114, 51565, 50892, 52130, 50972, 50457, 76486, 51915, 51319, 50458, 50850, 51151, 50885, 51449, 50872, 51243, 50461, 51915, 52134, 61464, 51269, 76589, 51686, 51677, 52249, 52528, 50415, 50885, 79755, 50872, 51126, 62092, 51915, 59197, 50885, 51128, 50872, 51319, 50872, 51252, 50885, 51524, 51915, 51832, 50434, 50885, 52445, 51915, 52514, 50438, 62092, 59865, 50885, 52179, 50872, 51524, 51915, 52946, 50446, 50872, 51004, 50885, 51126, 51915, 52134, 50447, 52065, 50932, 50449, 50885, 58271, 50872, 51851, 50885, 51824, 50872, 52192, 51565, 50981, 51915, 51832, 51967, 51330, 51107, 51333, 50457, 50885, 71439, 50872, 51319, 51915, 52134, 59560, 50912, 71421, 50885, 51365, 50850, 53142, 50885, 54171, 50872, 53588, 51686, 51422, 51915, 51550, 52130, 52431, 51299, 52916, 51201, 52528, 75226, 51126, 50872, 51297, 51915, 52514, 59812, 52167, 51915, 51832, 52064, 51490, 50427, 50872, 52445, 50434, 51915, 52514, 50438, 59398, 56401, 50885, 51862, 50872, 52167, 50439, 51915, 51252, 50445, 51915, 52514, 50446, 50885, 56663, 50885, 51000, 50872, 51319, 50872, 52167, 50885, 52731, 51565, 50981, 51915, 52101, 53122, 51108, 51967, 51330, 52065, 50932, 51107, 51330, 50457, 51915, 51851, 50458, 69076, 65808, 59560, 51297, 50885, 52731, 50872, 54071, 50885, 63712, 50872, 58643, 51686, 51677, 51915, 52835, 52130, 52431, 52064, 52528, 51299, 52431, 51201, 52528, 76750, 51258, 75226, 67643, 50872, 51128, 51915, 51851, 59812, 51126, 50872, 51126, 50885, 51862, 50872, 52167, 50427, 51915, 52462, 50434, 50885, 70709, 51915, 52514, 50438, 62092, 59865, 50885, 51524, 50872, 52946, 50439, 51915, 52946, 50445, 50885, 51126, 50446, 51915, 51851, 50447, 50872, 52445, 50450, 50885, 51319, 50885, 51524, 50872, 54088, 51565, 54143, 51915, 54887, 53122, 56515, 51967, 56515, 52065, 53233, 51107, 56515, 50451, 50872, 52445, 50457, 50885, 50971, 51915, 71439, 50872, 51126, 59560, 51524, 50872, 52167, 50422, 50885, 50971, 77547, 51915, 72769, 50872, 54088, 50885, 51824, 76752, 51258, 51915, 52611, 50433, 51915, 61929, 77547, 62092, 50885, 51524, 50872, 52782, 51915, 51550, 50445, 50885, 51126, 50446, 50872, 51319, 51915, 73792, 50872, 52445, 50885, 52134, 50885, 51470, 50872, 52731, 73930, 51025, 50451, 51915, 52611, 59560, 50854, 56640, 50868, 59643, 58179, 73945, 51867, 50292, 51381, 57624, 66527, 61047, 61950, 50885, 51079, 50434, 50885, 51642, 50868, 51309, 70983, 51332, 51452, 57624, 51267, 50438, 62940, 50885, 54558, 50311, 51074, 50446, 70887, 63413, 50885, 61211, 57624, 57554, 61220, 56640, 56538, 70687, 50847, 74981, 50885, 51128, 63246, 50847, 50857, 54809, 51109, 64933, 50874, 51042, 55711, 76475, 54667, 60025, 51501, 50291, 51381, 50422, 54809, 58326, 51042, 59718, 60025, 50972, 50434, 51042, 51484, 50848, 51484, 76063, 51791, 51145, 54120, 76810, 51042, 67742, 69800, 51074, 50446, 51042, 50886, 58816, 50847, 54915, 70648, 58440, 56538 ]

[ 0, 250, 2635, 8, 2933, 5175, 2125, 4246, 2724, 368, 8, 2003, 38704, 31365, 6673, 6909, 6, 2351, 10, 980, 219, 5466, 4, 20, 2214, 16, 11, 5, 762, 9, 2060, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 8, 1171, 10, 33215, 16739, 9, 2060, 119, 6, 2060, 6, 12608, 6, 2060, 6, 8, 274, 119, 406, 428, 245, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51540, 53580, 52407, 51978, 52407, 58881, 52407, 56381, 52407, 50438, 56404, 51738, 53580, 51738, 58881, 51738, 54833, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 51978, 51738, 58881, 51738, 56381, 51738, 51540, 52491, 52407, 52436, 52407, 58881, 52407, 59441, 52407, 50438, 52491, 51738, 51979, 51738, 58881, 51738, 59441, 51738, 50450, 51978, 53486, 52656, 53486, 58881, 53486, 59441, 53486, 51540, 52394, 52407, 52608, 52407, 56381, 52407, 56381, 52407, 50438, 53580, 51738, 51978, 51738, 56381, 51738, 56381, 51738, 50450, 52608, 52407, 52891, 52407, 56381, 52407, 55297, 52407, 50474, 52891, 51738, 52436, 51738, 56381, 51738, 55297, 51738, 51540, 51978, 53486, 52656, 53486, 58881, 53486, 59441, 53486, 50450, 53580, 53486, 51978, 53486, 58881, 53486, 56381, 53486, 51540, 53580, 52407, 51978, 52407, 58881, 52407, 56381, 52407, 50438, 56404, 51738, 53580, 51738, 58881, 51738, 54833, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 51978, 51738, 58881, 51738, 56381, 51738, 51540, 52491, 52407, 53979, 52407, 58881, 52407, 55329, 52407, 50438, 52491, 51738, 52436, 51738, 58881, 51738, 59441, 51738, 50450, 51978, 52407, 52656, 52407, 58881, 52407, 59441, 52407, 50474, 51978, 51738, 52656, 51738, 58881, 51738, 59441, 51738, 51540, 52608, 52407, 52656, 52407, 56469, 52407, 55297, 52407, 50438, 53580, 51738, 51979, 51738, 56469, 51738, 55329, 51738, 50450, 53580, 52407, 51978, 52407, 56469, 52407, 56381, 52407, 50474, 52608, 51738, 52608, 51738, 56469, 51738, 55291, 51738, 51540, 51979, 53486, 53979, 53486, 55329, 52407, 56469, 53486, 50438, 59378, 51738, 50450, 52656, 52407, 52380, 52407, 56381, 52407, 59378, 52407, 50474, 52656, 51738, 52380, 51738, 56381, 51738, 59378, 51738, 51540, 52380, 51738, 51978, 52407, 59441, 52407, 59441, 52407, 50426, 52436, 51738, 50438, 52608, 51738, 52656, 51738, 55297, 51738, 59378, 51738, 50450, 52608, 52407, 51979, 52407, 55329, 52407, 59441, 52407, 50474, 52608, 51738, 52656, 51738, 56381, 51738, 55297, 51738, 51540, 52608, 53486, 51979, 53486, 52436, 53486, 56469, 53486, 59441, 53486, 50450, 52608, 53486, 52656, 53486, 56381, 53486, 55297, 53486, 51540, 56381, 51749, 50438, 61092, 77072, 54833, 51749, 50474, 56469, 51380, 51540, 58881, 51749, 50438, 55329, 77072, 56381, 52015, 51540, 53580, 51749, 52436, 51749, 61092, 51749, 55329, 51749, 50438, 53580, 51380, 52436, 51380, 61092, 51380, 55329, 77072, 52436, 51380, 52608, 51749, 61092, 51749, 55297, 51749, 50462, 52380, 51380, 50474, 52608, 51380, 52436, 51380, 61092, 51380, 55297, 51380, 51540, 51978, 52015, 52172, 52015, 54833, 52015, 55297, 52015, 50450, 52394, 52015, 51978, 52015, 54833, 52015, 56293, 52015, 51540, 51978, 51749, 53979, 51749, 50438, 52656, 51380, 52380, 77072, 52891, 51749, 52436, 51749, 50474, 51978, 51380, 52656, 51380, 51540, 52608, 51749, 51979, 51749, 50438, 51979, 51380, 53979, 77072, 52656, 51749, 52380, 52015, 50474, 52891, 51380, 51540, 51978, 51749, 53979, 51749, 58881, 51749, 56381, 51749, 50438, 53580, 51380, 52436, 51380, 61092, 51380, 61092, 77072, 53580, 51749, 52656, 51749, 54833, 51749, 56381, 51749, 50474, 53580, 51380, 53580, 51380, 55329, 51380, 55329, 51380, 51540, 52394, 52015, 52608, 52015, 55297, 51749, 56381, 52015, 50438, 56381, 77072, 53580, 52015, 51978, 52015, 56381, 51749, 58881, 52015, 50474, 59441, 51380, 51540, 53580, 51749, 52436, 51749, 61092, 51749, 59441, 51749, 50438, 52891, 51380, 52436, 51380, 61092, 51380, 59441, 77072, 53580, 51749, 52656, 51749, 54833, 51749, 59441, 51749, 50474, 53580, 51380, 51978, 51380, 58881, 51380, 56381, 51380, 51540, 52394, 51749, 52608, 52015, 56381, 51749, 62828, 52015, 56381, 52015, 50438, 56404, 51380, 61092, 77072, 56404, 52015, 53580, 52015, 58881, 52015, 54833, 52015, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 38668, 3038, 6, 13305, 6, 21072, 6, 31391, 1672, 9590, 6, 8, 3741, 27374, 594, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 230, 538, 6, 19, 10, 881, 21263, 9, 5, 33215, 16739, 272, 119, 6, 1918, 406, 428, 245, 6, 211, 6, 272, 73, 250, 6, 8, 1918, 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 ]

[ 57530, 50798, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50798, 52227, 50905, 51450, 51049, 52154, 51820, 50843, 64824, 53984, 52154, 51754, 57125, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 50905, 51450, 51049, 52154, 51820, 50798, 56392, 51382, 53984, 56392, 51453, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 50905, 51450, 51049, 52154, 51820, 50843, 64824, 53984, 56392, 51453, 56392, 51528, 52085, 52227, 75558, 56392, 51510, 56683, 51302, 53984, 52154, 51628, 50852, 54137, 65856, 52221, 51049, 52154, 51820, 50843, 64824, 53984, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 51626, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 51730, 52227, 60282, 51533, 50991, 74147, 50991, 51450, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 50818, 62920, 52732, 52513, 50798, 51757, 77476, 71801, 50800, 50770, 50325, 51626, 53984, 52154, 52809, 62920, 51923, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 54920, 50991, 62920, 51428, 52085, 52227, 55126, 51153, 50818, 51639, 50818, 51516, 50818, 71801, 50795, 50770, 50326, 52959, 52154, 52296, 57125, 52542, 51620, 51416, 50991, 62920, 78688, 53984, 52154, 51628, 51153, 50818, 51639, 50818, 51516, 52816, 52227, 60282, 51533, 60847, 74637, 52221, 51049, 52154, 51820, 78488, 51153, 50809, 51435, 50818, 52381, 52141, 52513, 50798, 51757, 77476, 63689, 50807, 50770, 50325, 51626, 53984, 52154, 51754, 71724, 51308, 50818, 51275, 50818, 51435, 51044, 56392, 57190, 75377, 50931, 50918, 61934, 54805, 52085, 52227, 55126, 50770, 50326, 52959, 52154, 52296, 57125, 56683, 51302, 53984, 52154, 51628, 50798, 52227, 54137, 50861, 73757, 68900, 50918, 63689, 51291, 57125, 52154, 51820, 50843, 52513, 50798, 64824, 67786, 56392, 51528, 52085, 52227, 50905, 51206, 53561, 51099, 50818, 51153, 50809, 51489, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 56633, 50800, 51416, 66366, 52154, 52765, 56633, 50800, 51416, 51628, 54341, 50800, 51416, 50800, 51099, 50818, 51153, 50818, 51489, 52816, 52227, 60282, 55832, 50991, 51416, 50800, 54585, 64812, 52154, 51820, 53605, 50795, 73198, 51119, 50818, 51153, 50809, 51489, 52847, 52513, 50798, 51757, 50770, 50325, 51626, 53984, 52154, 51754, 53605, 50800, 51119, 50809, 51153, 50809, 51489, 51421, 52154, 52567, 53605, 50800, 50799, 53605, 51730, 52085, 52227, 55126, 53605, 50800, 51119, 50809, 51153, 50809, 51435, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 53620, 50800, 51416, 66366, 52154, 52765, 51416, 51628, 53605, 50800, 51416, 50800, 51119, 50809, 51153, 50809, 51435, 52259, 52227, 60282, 55832, 50800, 51416, 51724, 51137, 64812, 52154, 52831, 56633, 51918, 71724, 51099, 50818, 51429, 50809, 51275, 52847, 52513, 54341, 51428, 51757, 73198, 50770, 50325, 51626, 53984, 52154, 52809, 55431, 51923, 71724, 51099, 50818, 51429, 50818, 51275, 51421, 52154, 52567, 56633, 50991, 51528, 52085, 52227, 55126, 51099, 50809, 51153, 50809, 51489, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 56633, 50800, 51416, 66366, 52154, 52765, 56633, 50800, 51416, 51628, 54341, 50795, 51416, 50800, 51099, 50809, 51153, 50809, 51489, 52259, 52227, 60282, 51416, 51724, 55832, 50795, 51349, 64812, 52154, 51820, 73198, 51119, 50809, 51153, 50809, 51489, 52847, 52513, 53605, 52221, 51757, 50770, 50325, 51626, 53984, 52154, 51754, 51119, 50809, 51153, 50809, 51489, 51421, 56392, 50799, 54398, 55568, 52085, 52227, 55126, 51119, 50809, 51153, 50818, 51435, 50809, 50770, 50326, 52959, 52154, 52296, 51416, 51730, 51049, 52542, 51620, 53620, 50991, 51416 ]

[ 0, 250, 2635, 8, 15352, 30054, 3495, 2214, 11, 272, 538, 6, 4246, 41, 21979, 8669, 8, 21072, 4, 20, 2125, 11498, 10, 204, 73, 306, 86, 6543, 8, 29769, 198, 10, 16331, 33215, 16739, 9, 211, 6, 272, 6, 230, 6, 211, 6, 8, 272, 4, 590, 10, 20889, 9, 3337, 13410, 228, 2289, 6, 24, 7630, 6568, 10, 3344, 9, 11098, 8, 657, 6, 19, 12577, 17878, 9, 15073, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57128, 50796, 54594, 50949, 50876, 50883, 51332, 51189, 79845, 51007, 66516, 50812, 51439, 52734, 50916, 72988, 53425, 50861, 79027, 78132, 50840, 51149, 50840, 51439, 53695, 50916, 72988, 53415, 50876, 50961, 50861, 78132, 50836, 51149, 50840, 51439, 54465, 50916, 72988, 54208, 60373, 50876, 78132, 50840, 51149, 50839, 51439, 53173, 50916, 50930, 51171, 53848, 51217, 50812, 54852, 71236, 51164, 61659, 50910, 69196, 51257, 50910, 55961, 69080, 53383, 50877, 53819, 50316, 67698, 63722, 50887, 51257, 54937, 50871, 50962, 51164, 54957, 50973, 53936, 50318, 51952, 50299, 51013, 50935, 50910, 51007, 50924, 51439, 54630, 50861, 68166, 53057, 50973, 52717, 50318, 50962, 50935, 60878, 50821, 51439, 54418, 50861, 50961, 50988, 50809, 54594, 61818, 51138, 51332, 51591, 50885, 51742, 51007, 77179, 51439, 52864, 50916, 63164, 53548, 50861, 53819, 50316, 78132, 50840, 51149, 50840, 51439, 53810, 50916, 72988, 52729, 50861, 53819, 50316, 78132, 68480, 50840, 51439, 54400, 50916, 63164, 54208, 60373, 60832, 51007, 50840, 51149, 50840, 51439, 52738, 50916, 50880, 51171, 52567, 51217, 50800, 54852, 61818, 50860, 51164, 71778, 50830, 70141, 51257, 50938, 55961, 79858, 53935, 50877, 50949, 50876, 67698, 64278, 50884, 51257, 52927, 50861, 52311, 50973, 52311, 50902, 52827, 50988, 51364, 50935, 50983, 51007, 50983, 51439, 51364, 50456, 51403, 50879, 51403, 50879, 55858, 51059, 50900, 52392, 51810, 50930, 51810, 50930, 51332, 52536, 58966, 50909, 75328, 50978, 51149, 50942, 55902, 52536, 51810, 51138, 51810, 51138, 50847, 50862, 51544, 51167, 50832, 52369, 50876, 51941, 51810, 50961, 51810, 50961, 50847, 67479, 68480, 52927, 51810, 52512, 51810, 52512, 50847, 54431, 51489, 50893, 51489, 57753, 68744, 68480, 52510, 51435, 50805, 51435, 57954, 51400, 52320, 51055, 51516, 50809, 51516, 58269, 67479, 50887, 51149, 52485, 51516, 51016, 51516, 51016, 52110, 50923, 52110, 72226, 50879, 54206, 51655, 51810, 50911, 51810, 51972, 50294, 52536, 50848, 51605, 50850, 61633, 60090, 54718, 50877, 52536, 51578, 52392, 51578, 52392, 51530, 50948, 51530, 66857, 50836, 51544, 51167, 50876, 51941, 51403, 50893, 51403, 56548, 61056, 68783, 54937, 51530, 51977, 51530, 51977, 50850, 53574, 50850, 61283, 50887, 51257, 55489, 50850, 50836, 52320, 51055, 50850, 50884, 50909, 50887, 51257, 54663, 50946, 50893, 54206, 51655, 50988, 52536, 50847, 51605, 50935, 57561, 66244, 52734, 50861, 52536, 53706, 50817, 53706, 62437, 50840, 51544, 51167, 50832, 51551, 50902, 51941, 53706, 50802, 53706, 61821, 60878, 50809, 51439, 52209, 52110, 50911, 52110, 65326, 53894, 51275, 51173, 51275, 51173, 51810, 51030, 51810, 51030, 50935, 79368, 50809, 51439, 52210, 51489, 51060, 51489, 51060, 51810, 51030, 51810, 51030, 50935, 50836, 52320, 51055, 51435, 50830, 51435, 50830, 51185, 51030, 51185, 51030, 50935, 79368, 50887, 51439, 53685, 51578, 51016, 51578, 51016, 51403, 52282, 51403, 52282, 50988, 50879, 53975, 51941, 51332, 79854, 51141, 66603, 50909, 50952, 51149, 50942, 55902, 51977, 51516, 51358, 51516, 51358, 51332, 50889, 50847, 50834, 51544, 51167, 50876, 51336, 50847, 50895, 50909, 50884, 51149, 53644, 50847, 53219, 50885, 51175, 50847, 66278, 51158, 51149, 51918, 50847, 50840, 52320, 51055, 51042, 51060, 50847, 66115, 50924, 51007, 58603, 50847, 50841, 56310, 51941, 50946, 51141, 50850, 66278, 63003, 51835, 50916, 51977, 51403, 50893, 51403, 56548, 50862, 51544, 51167, 50832, 51527, 50877, 51336, 52110, 50911, 52110, 60787, 61283, 50840, 51149, 52359, 53706, 50806, 53706, 56244, 53894, 51489, 51192, 51489, 51192, 53477, 51055, 53477, 51055, 50988, 51291, 50847, 68348, 75709, 54811, 51435, 50795, 51435, 55990, 50841, 52320, 51055, 51516, 50809, 51516, 50809, 55943, 50879, 55943, 58886, 50840, 51149, 54663, 51516, 51013, 51516, 51013, 52110, 51573, 52110, 51573, 50847, 50841, 59130, 52536, 51506, 51991, 65007, 50850, 55175, 63003, 52871, 50989, 51933, 51578, 51336, 51578, 51336, 50944, 50836, 51544, 51167, 50877, 51896, 52110, 50911, 52110, 63146, 60782, 63722, 68480, 52359, 53706, 50923, 53706, 63210, 52444, 53477, 50896, 53477, 50896, 50944, 62237, 63722, 50840, 51149, 54400, 50944, 50809, 52320, 51055, 51578, 50806, 51578, 50806, 55943, 50911, 55943, 63146, 50858, 58126, 50909, 66516, 52643, 51489, 51112, 51489, 51112, 52110, 52311, 52110, 52311, 51506, 50809, 54206, 52392, 51171, 52536, 50848, 51605, 58126, 51007, 60090, 51835, 50877, 51941, 51489, 50887, 51489, 61952, 50840, 51544, 51167, 50832, 52266, 50876, 51896, 51489, 51235, 51489, 51235, 50850, 79368, 68783, 52359, 50850, 53894, 51489, 50879, 51489, 56263, 79368, 50818, 51257, 52510, 51435, 50805, 51435, 50805, 51810, 51012, 51810, 58857, 50836, 52320, 51055, 51516, 50879, 51516, 50879, 52110, 50911, 52110, 60787, 50884, 51007, 50818, 51257, 55433, 51275, 51655, 51275, 51655, 51810, 53435, 51810, 53435, 50946, 50879, 54206, 51696, 50988, 75345, 58433, 78235, 50952, 55902, 52392, 50872, 50857, 51544, 51167, 71923, 50872, 61952, 63164, 54937, 50872, 53891, 61745, 51551, 50902, 51356, 53160, 57753, 50983, 50935, 51364, 51007, 51364, 50444, 51553, 50846, 51688, 52610, 51326, 50898, 51167, 51791, 67840, 51403, 50879, 51403, 50879, 55858, 57044, 51356, 51085, 53241, 50900, 52392, 51810, 50930, 51810, 50930, 51332, 52536, 58966, 50909, 75328, 50978, 51149, 50942, 51039, 61077, 52536, 51810, 51138, 51810, 51138, 50847, 50862, 51544, 53291, 52097, 50876, 51941, 51810, 50961, 51810, 50961, 50847, 67479, 68480, 50846, 51361, 50867, 51810, 52512, 51810, 52512, 50847, 50855, 51570, 50962, 51489, 51173, 51489, 51173, 50847, 68744, 68480, 69342, 50829, 51435, 50805, 51435, 57954, 51400, 52320, 62809, 51090, 51516, 50884, 51516, 65394, 67479, 50887, 51149, 52485, 60786, 50858, 51085, 50917, 51516, 51016, 51516, 51016, 52110, 50923, 52110, 72226, 50879, 53028, 51670, 51235, 50899, 51655, 51120, 51359, 51810, 50911, 51810, 51972, 50294, 52536, 50848, 51605, 50850, 61633, 60090, 80234, 62821, 52536, 51578, 51161, 51578, 51161, 51530, 50948, 51530, 66857, 50836, 51544, 53291, 52369, 50876, 51941, 51403, 50893, 51403, 56548, 61056, 68783, 50887, 51361, 50867, 51530, 51977, 51530, 51977, 50850, 50836, 51570, 67698, 61283, 50887, 51257, 50887, 51180, 59588, 50836, 52320, 62809, 62136, 50884, 50909, 50887, 51257, 54663, 50852, 71036, 50893, 53028, 51670, 52370, 50299, 51605, 50899, 51655, 50988, 52536, 50847, 51605, 50935, 57561, 66244, 79158, 61077, 52536, 53706, 50817, 53706, 62437, 50840, 51544, 53291, 52266, 50902, 51941, 53706, 50802, 53706, 61821, 60878, 50809, 51439, 70131, 50867, 52110, 50806, 52110, 61282, 50862, 51570, 50962, 73139, 73139, 51810, 51033, 51810, 51033, 50935, 79368, 50809, 51439, 67902, 50829, 51489, 51111, 51489, 51111, 51810, 51021, 51810, 51021, 50935, 50836, 52320, 62809, 51016, 51435, 50865, 51435, 50865, 51185, 50911, 51185, 65326, 79368, 50887, 51439, 53685, 60786, 50858, 51214, 50865, 51578, 50807, 51578, 50807, 51403, 53241, 51403, 53241, 50988, 50879, 53028, 51670, 51919, 50292, 70339, 51941, 51332, 79854, 51141, 66603, 50909, 50952, 51149, 50942, 51039, 61077, 51977, 51516, 51933, 51516, 51933, 51332, 50889, 50847, 50834, 51544, 53291, 52266, 50876, 51336, 50847, 50895, 50909, 50884, 51149, 78956, 57823, 50828, 51570 ]

[ 0, 250, 765, 6, 19448, 5175, 37903, 11, 230, 538, 6, 4246, 41, 21979, 8669, 4, 85, 34, 10, 1372, 8, 5679, 26709, 6711, 6, 19, 10, 11602, 9, 7125, 8, 657, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 5663, 13410, 228, 2289, 6, 21437, 10, 33215, 13931, 9, 83, 406, 73, 347, 10431, 6, 211, 119, 6, 272, 6, 230, 6, 8, 381, 406, 73, 534, 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 ]

[ 57211, 62867, 57998, 59100, 50947, 53765, 62867, 57998, 50998, 51160, 51064, 71832, 51067, 52877, 62867, 57998, 59100, 51032, 54526, 62867, 50986, 51196, 59100, 57360, 50799, 52028, 50896, 57360, 51067, 53765, 61446, 56479, 60511, 51032, 53585, 58208, 56479, 56767, 51064, 54526, 63965, 56479, 56767, 63133, 50896, 57998, 58308, 51032, 53765, 79655, 57998, 56767, 51064, 53585, 62867, 57998, 59100, 50947, 54526, 79655, 70601, 56767, 57360, 50799, 59364, 56479, 59100, 50947, 53765, 58208, 65400, 50929, 52309, 50970, 52322, 63642, 57998, 58308, 50929, 54526, 57998, 77389, 56767, 50799, 65400, 56479, 50929, 53765, 63965, 70601, 50929, 53585, 61446, 57998, 50929, 52692, 50970, 52610, 51846, 50896, 57998, 50970, 52931, 57566, 50799, 58208, 57998, 50970, 52774, 50998, 52247, 79655, 57998, 51064, 52309, 51032, 52322, 62867, 57998, 51064, 52692, 50947, 52610, 59364, 56479, 50970, 52931, 55046, 63133, 50896, 57998, 59100, 50947, 53765, 53805, 50896, 58308, 56767, 50947, 53585, 59364, 56479, 59100, 50947, 54526, 53271, 50896, 56479, 51064, 59908, 50626, 50456, 50625, 55046, 50459, 50625, 57448, 63642, 61446, 57998, 59100, 50417, 50625, 50420, 50625, 50423, 50624, 50426, 50624, 63642, 63965, 57998, 50998, 71832, 50929, 52877, 62867, 59100, 50439, 61446, 79186, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 182, 1769, 12, 20764, 5175, 8, 15855, 15229, 11, 163, 538, 6, 4246, 10, 13305, 14, 1974, 10, 15352, 30054, 13931, 9, 381, 6, 274, 10431, 6, 2060, 6, 8, 274, 10431, 40286, 6, 2351, 10, 2933, 8, 9066, 5466, 20455, 9, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 71691, 51503, 51077, 51146, 77772, 51147, 53770, 50902, 53387, 51028, 53913, 51503, 51103, 50965, 53999, 50916, 54058, 51040, 53586, 50916, 50892, 58439, 75427, 51177, 69980, 53770, 50902, 53387, 50931, 53913, 51176, 68800, 64480, 51147, 62063, 51027, 75406, 51220, 58460, 51176, 51455, 50329, 69821, 51146, 58298, 50899, 73752, 51430, 50925, 71691, 51176, 51177, 51028, 51127, 51399, 54994, 51040, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 51028, 51127, 51399, 54994, 51040, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 60489, 50639, 50456, 50639, 51040, 60977, 50639, 71691, 51176, 51177, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 71007, 55874, 50639, 50899, 53920, 50639, 51040, 58399, 56054, 50639, 50965, 50833, 71691, 51176, 51177, 50965, 51422, 51028, 51538, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 63142, 64449, 61157, 50639, 50456, 50639, 51040, 65479, 69791, 58565, 50639, 71691, 51176, 51177, 50877, 59353, 52115, 51040, 65479, 69791, 52483, 51176, 63142, 64449, 52605, 51040, 59389, 59374, 52446, 51176, 68468, 75203, 53218, 51040, 54058, 51176, 57348, 58000, 52961, 51040, 60540, 61026, 50805, 59130, 51177, 50989, 51422, 50973, 51538, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 60785, 50639, 50450, 50639, 51378, 59198, 61419, 61157, 50639, 50456, 50639, 51086, 71274, 61622, 58565, 50639, 71691, 51378, 51177, 50861, 56964, 52115, 51086, 71274, 61622, 52483, 51378, 59198, 61419, 52605, 51086, 58399, 57586, 52446, 50640, 51378, 63142, 71123, 58627, 50640, 50444, 50639, 51086, 60785, 50639, 50450, 50639, 51378, 61432, 57254, 61157, 50639, 50456, 50639, 51086, 71321, 68468, 58565, 50639, 57551, 51177, 50916, 51675, 50877, 51358, 50417, 50640, 56945, 53770, 51315, 53387, 51027, 53913, 51315, 53999, 51027, 76451, 61432, 52596, 51315, 61432, 57254, 52961, 51027, 59389, 69791, 50805, 57551, 51177, 50973, 59353, 52115, 51027, 59389, 69791, 52483, 51315, 61622, 60946, 52605, 51027, 58007, 68694, 52446, 51315, 69791, 51183, 50968, 56027, 51027, 54058, 51315, 53586, 51027, 50892, 59130, 51177, 50989, 51675, 50973, 51358, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 71321, 63142, 59414, 50639, 50450, 50639, 51378, 63142, 64449, 61157, 50639, 50456, 50639, 51086, 68219, 68694, 58565, 50639, 71691, 51378, 51177, 51028, 63707, 52115, 51086, 68219, 68694, 52483, 51378, 69791, 65655, 52605, 51086, 60756, 62244, 52446, 51378, 68694, 51183, 51114, 56027, 51086, 54058, 51378, 53586, 51086, 50892, 58526, 51177, 50965, 51422, 51028, 51538, 61683, 53770, 51176, 53387, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60785, 50639, 50450, 50639, 51176, 63142, 64449, 61157, 50639, 50456, 50639, 51040, 65479, 69791, 58565, 50639, 71691, 51176, 51177, 50877, 59353, 52115, 51040, 65479, 69791, 52483, 51176, 63142, 64449, 52605, 51040, 59389, 59374, 52446, 51176, 68468, 75203, 53218, 51040, 54058, 51176, 57348, 58000, 52961, 51040, 60540, 61026, 50805, 59130, 51177, 50989, 51422, 50973, 51538, 64401, 53770, 51378, 53387, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 60785, 50639, 50450, 50639, 51378, 59198, 61419, 61157, 50639, 50456, 50639, 51086, 71274, 61622, 58565, 50639, 71691, 51378, 51177, 50861, 56964, 52115, 51086, 71274, 61622, 52483, 51378, 59198, 61419, 52605, 51086, 58399, 57586, 52446, 50640, 51378, 63142, 71123, 58627, 50640, 50444, 50639, 51086, 60785, 50639, 50450, 50639, 51378, 61432, 57254, 61157, 50639, 50456, 50639, 51086, 71321, 68468, 58565, 50639, 57551, 51177, 50916, 56876, 51623, 50417, 50640, 56945, 76451, 53890, 51315, 61432, 73576, 51027, 53913, 51315, 53999, 51027, 76451, 61432, 52596, 51315, 61432, 57254, 52961, 51027, 59389, 69791, 50805, 57551, 51177, 50973, 59353, 52115, 51027, 59389, 69791, 52483, 51315, 61622, 60946, 52605, 51027, 58007, 68694, 52446, 51315, 69791, 51183, 50968, 56027, 51027, 59389, 54230, 51315, 63142, 53702, 51027, 64233, 50873, 59130, 51177, 50989, 58654, 51623, 64401, 71321, 53890, 51378, 63142, 73576, 51086, 53913, 50640, 51378, 62532, 50640, 50444, 50640, 51086, 71321, 63142, 59414, 50639, 50450, 50639, 51378, 63142, 64449, 61157, 50639, 50456, 50639, 51086, 68219, 68694, 58565, 50639, 71691, 51378, 51177, 51028, 63707, 52115, 51086, 68219, 68694, 52483, 51378, 69791, 65655, 52605, 51086, 60756, 62244, 52446, 51378, 68694, 51183, 51114, 56027, 51086, 68219, 54230, 51378, 68468, 53702, 51086, 71274, 50873, 58526, 51177, 50965, 62036, 51623, 61683, 60540, 53890, 51176, 68468, 73576, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60540, 68468, 59414, 50639, 50450, 50639, 51176, 68468, 68250, 61157, 50639, 50456, 50639, 51040, 66289, 62244, 58565, 50639, 71691, 51176, 51177, 51001, 78809, 52115, 51040, 66289, 62244, 52483, 51176, 68694, 76724, 52605, 51040, 65064, 61352, 52446, 50640, 51176, 62244, 51183, 51147, 50983, 50441, 50640, 50444, 50640, 51040, 51568, 50329, 62617, 50639, 50450, 50639, 51176, 79110, 73559, 50639, 50456, 50639, 51040, 76919, 63007, 50639, 71691, 51176, 51177, 50965, 62036, 51675, 50931, 51358, 61683, 60540, 53890, 51176, 68468, 73576, 51040, 53913, 50640, 51176, 62532, 50640, 50444, 50640, 51040, 60540, 68468, 59414, 50639, 50450, 50639, 51176, 68468, 68250, 61157, 50639, 50456, 50639, 51040, 66289, 62244, 58565, 50639, 71691, 51176, 51177, 51001, 78809, 52115, 51040, 66289, 62244, 52483, 51176, 68694, 76724, 52605, 51040, 65064, 61352, 52446, 50640, 51176, 69791, 62377, 51183, 51147, 66584, 50640, 50444, 50640, 51040, 58007, 62617, 50639, 50450, 50639, 51176, 61026, 60976, 50639, 50456, 50639, 51040, 65479, 63007, 50639, 71691, 51176, 51177, 51399, 51077, 61683, 53770, 51176, 53387, 51040, 53913, 51378, 74908, 64486, 51086, 54058, 51378, 53586, 51086, 50892, 58526, 51177, 51028, 51218, 51081, 60055, 51040 ]

[ 0, 250, 765, 8, 182, 1769, 5175, 2214, 11, 12608, 3694, 6, 4246, 10, 2382, 3459, 8669, 816, 5, 483, 33301, 6, 7513, 30, 38668, 18569, 6, 38668, 3038, 6, 3459, 9590, 6, 8, 21072, 6, 2351, 10, 11739, 9, 15352, 30054, 8, 2933, 23225, 19, 41, 20425, 8, 1372, 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, 0, 0, 0, 0, 0 ]

[ 71691, 50791, 50949, 51544, 50837, 51570, 52763, 51842, 53028, 50949, 51544, 50837, 51570, 52763, 51842, 55563, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 55563, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 50799, 59523, 51025, 55833, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 59917, 51025, 57539, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 55443, 52919, 53792, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 54326, 51025, 51394, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 55189, 51025, 51629, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 52544, 52919, 51201, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 55409, 51025, 55015, 51025, 54322, 51422, 51281, 51422, 51281, 51422, 51385, 51422, 51385, 51422, 51403, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 56348, 51025, 55751, 51025, 51325, 51025, 54161, 51700, 54968, 54677, 52919, 55928, 52919, 52022, 51025, 52358, 52396, 51325, 51025, 54161, 51700, 50837, 50799, 54322, 51422, 51281, 51422, 51385, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 51281, 51025, 51325, 51025, 54161, 51700, 54968, 51385, 51025, 52022, 51025, 52358, 52396, 51403, 51025, 51325, 51025, 54161, 51700, 50837, 50799, 52575, 51025, 51266, 51025, 52947, 51422, 51193, 51422, 51193, 51422, 51546, 51422, 51546, 51422, 51810, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 54968, 52685, 52919, 51165, 52919, 52053, 51025, 52358, 52396, 51186, 51025, 54161, 51700, 50837, 50799, 52947, 51422, 51193, 51422, 51546, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 51193, 51025, 51186, 51025, 54161, 51700, 54968, 51546, 51025, 52053, 51025, 52358, 52396, 51810, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 59523, 51025, 55833, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 59917, 51025, 57539, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 55443, 52919, 53792, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 54326, 51025, 51394, 51025, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 55189, 51025, 51629, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 52544, 52919, 51201, 52919, 51325, 51025, 52358, 52396, 51105, 51025, 54161, 51700, 50837, 76503, 51422, 51281, 51422, 51208, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 51281, 51025, 51105, 51025, 51105, 51025, 54161, 51700, 54968, 51208, 51025, 51325, 51025, 52358, 52396, 51546, 51025, 51105, 51025, 54161, 51700, 50837, 50799, 55409, 51025, 55015, 51025, 54322, 51422, 51281, 51422, 51281, 51422, 51385, 51422, 51385, 51422, 51403, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 56348, 51025, 55751, 51025, 51325, 51025, 54161, 51700, 54968, 54677, 52919, 55928, 52919, 52022, 51025, 52358, 52396, 51325, 51025, 54161, 51700, 50837, 50799, 54322, 51422, 51281, 51422, 51385, 51422, 51403, 51422, 52022, 59486, 52493, 52437, 51281, 51025, 51325, 51025, 54161, 51700, 54968, 51385, 51025, 52022, 51025, 52358, 52396, 51403, 51025, 51325, 51025, 54161, 51700, 50837, 50799, 52575, 51025, 51266, 51025, 52947, 51422, 51193, 51422, 51193, 51422, 51546, 51422, 51546, 51422, 51810, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 54968, 52685, 52919, 51165, 52919, 52053, 51025, 52358, 52396, 51186, 51025, 54161, 51700, 50837, 50799, 52947, 51422, 51193, 51422, 51546, 51422, 51810, 51422, 52053, 59486, 52493, 52437, 51193, 51025, 51186, 51025, 54161, 51700, 54968, 51546, 51025, 52053, 51025, 52358, 52396, 51810, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 56765, 51134, 60829, 51134, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 52053, 51025, 54161, 51700, 54151, 56765, 51134, 60829, 67082, 52053, 51025, 52358, 52396, 56765, 51025, 60829, 51025, 52053, 51025, 54161, 51700, 50837, 50799, 54677, 51134, 55928, 51134, 52473, 51422, 51268, 51422, 51268, 51422, 51193, 51422, 51193, 51422, 51385, 51422, 51385, 51422, 51213, 59486, 52493, 52437, 52022, 51025, 54161, 51700, 54151, 56131, 50866, 61043, 54014, 56131, 51025, 61043, 51025, 52022, 51025, 52358, 52396, 54677, 51025, 55928, 51025, 52022, 51025, 54161, 51700, 50837, 50799, 55646, 51134, 57607, 51134, 51815, 51422, 51089, 51422, 51089, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51019, 59486, 52493, 52437, 51415, 51025, 54161, 51700, 54151, 55646, 50866, 57607, 54014, 56765, 51025, 60829, 51025, 51415, 51025, 52358, 52396, 55646, 51025, 57607, 51025, 51415, 51025, 54161, 51700, 50837, 50799, 56348, 51115, 55751, 51115, 53761, 51025, 51395, 51025, 52947, 51422, 51341, 51422, 51341, 51422, 51020, 51422, 51020, 51422, 51193, 51422, 51193, 51422, 51105, 59486, 52493, 52437, 53761, 50866, 51395, 50866, 51186, 51025, 54161, 51700, 54151, 53761, 51109, 51395, 61148, 51186, 51025, 52358, 52210, 53761, 50866, 51395, 54356, 53761, 51025, 51395, 51025, 51186, 51025, 54161, 51700, 50837, 50799, 56765, 51134, 60829, 51134, 52159, 51422, 51281, 51422, 51281, 51422, 51208, 51422, 51208, 51422, 51546, 51422, 51546, 51422, 51325, 59486, 52493, 52437, 52053, 51025, 54161, 51700, 54151, 56765, 51134, 60829, 67082, 52053, 51025, 52358, 52396, 56765, 51025, 60829, 51025, 52053, 51025, 54161, 51700, 50837, 50799, 54677, 51134, 55928, 51134, 52473, 51422, 51268, 51422, 51268, 51422, 51193, 51422, 51193, 51422, 51385, 51422, 51385, 51422, 51213 ]

[ 0, 250, 765, 37903, 9, 41, 20425, 5175, 3836, 1349, 4246, 10, 38668, 483, 8, 38668, 9590, 6, 278, 11, 10, 1769, 20889, 8, 204, 73, 306, 86, 6543, 6, 19, 10, 15352, 30054, 8, 11299, 16464, 11, 5, 762, 9, 274, 10431, 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, 0, 0, 0, 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, 54133, 50830, 54133, 50830, 58606, 55394, 52751, 51297, 52751, 51269, 58606, 53910, 58606, 53901, 54133, 55730, 58606, 52810, 53190, 51252, 58606, 54350, 52452, 50830, 54238, 57917, 52751, 50800, 54238, 56197, 53079, 50800, 54238, 52800, 54133, 51550, 54238, 53211, 52452, 50800, 54238, 50813, 50799, 52751, 50800, 54170, 54202, 54133, 51252, 54170, 53910, 54170, 52524, 52751, 56552, 54170, 52810, 52751, 50800, 54170, 54112, 54133, 52179, 55042, 78017, 56742, 50800, 55042, 55854, 54133, 50800, 55042, 52800, 53079, 51550, 55042, 54319, 54133, 50800, 55042, 50854, 50799, 54133, 50830, 58606, 55394, 52751, 51550, 58606, 55946, 58606, 52654, 54133, 56739, 58606, 52810, 53190, 51550, 58606, 56000, 52452, 50800, 54238, 57917, 52751, 50800, 54238, 56197, 53079, 50809, 54238, 52800, 54133, 51550, 54238, 53211, 52452, 50830, 54238, 50854, 50799, 52751, 50800, 54170, 54202, 54097, 51252, 54170, 55946, 54170, 65450, 52751, 66942, 54170, 54215, 54133, 51550, 54170, 56000, 54205, 50800, 55042, 55608, 54133, 50800, 55042, 55854, 54133, 50800, 55042, 54208, 54205, 52946, 55042, 53920, 54133, 50830, 55042, 50833, 50799, 54133, 50830, 58606, 55394, 52751, 51269, 58606, 55946, 58606, 53906, 54133, 54889, 58606, 54215, 53190, 51319, 58606, 56788, 52452, 50830, 54238, 55608, 52751, 50800, 54238, 54043, 53079, 50809, 54238, 52800, 54133, 51550, 54238, 52863, 52452, 50800, 54238, 50833, 50799, 52751, 50800, 54170, 53004, 54133, 51252, 54170, 55946, 54170, 53906, 52751, 54889, 54170, 54215, 52751, 50800, 54170, 56529, 54133, 52179, 55042, 78013, 56742, 50800, 55042, 55854, 54133, 50800, 55042, 52800, 53079, 51550, 55042, 52863, 54133, 50800, 55042, 50854, 50799, 52174, 50800, 54242, 54711, 54133, 51252, 54242, 53910, 54242, 53906, 52174, 51142, 50429, 54242, 53911, 53079, 50941, 54242, 54350, 55013, 50830, 54242, 78013, 52174, 50800, 54242, 77302, 52174, 51000, 54242, 52800, 52174, 50800, 54242, 52863, 73217, 54242, 50810, 50799, 54205, 50830, 55042, 77946, 54097, 50830, 55042, 53244, 54205, 50933, 55042, 58466, 55013, 51269, 55042, 55643, 56742, 50830, 55042, 50938, 50441, 54205, 50830, 55042, 64043, 55013, 51269, 55042, 53688, 56742, 50800, 55042, 57939, 54205, 50830, 55042, 50959, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2635, 12, 20764, 3495, 8, 5175, 657, 2214, 4246, 10, 38668, 11212, 6, 23338, 33518, 1264, 6, 3459, 9590, 6, 13305, 6, 8, 21072, 6, 19, 10, 15352, 30054, 8, 1372, 16464, 4, 8504, 11, 5, 762, 9, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 2214, 5705, 13774, 10, 33215, 16739, 9, 211, 6, 1918, 6, 3676, 6, 163, 6, 8, 272, 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 ]

[ 57128, 50799, 53278, 51313, 52507, 51145, 53465, 51445, 58644, 50844, 51465, 51244, 51231, 51145, 51327, 51080, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 50964, 51582, 53067, 53356, 52331, 50948, 64604, 66501, 52079, 50870, 53666, 53670, 54117, 50948, 50953, 55271, 52079, 50928, 51556, 53836, 52958, 52684, 51145, 51465, 51314, 51249, 51145, 51327, 51080, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50893, 62865, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 52583, 51445, 52507, 51447, 54008, 52212, 52571, 51145, 51410, 51145, 51231, 51047, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50884, 50964, 51179, 53963, 52872, 56223, 51158, 65340, 66501, 54545, 50863, 53666, 53670, 55704, 50865, 51019, 53710, 52079, 50891, 51556, 52079, 53115, 52693, 51145, 52684, 51445, 52326, 51080, 51410, 51244, 51303, 51080, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 78742, 50806, 66777, 66501, 53963, 50870, 54287, 50891, 51453, 53963, 50870, 51621, 53836, 50863, 50799, 53460, 51148, 53278, 52337, 51476, 51244, 51465, 51145, 51249, 51148, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 78742, 50858, 51069, 52153, 53067, 53356, 58644, 51021, 50964, 51021, 66501, 52079, 50870, 53666, 53670, 58644, 51030, 50964, 56832, 52079, 50928, 51556, 53836, 52958, 56470, 51148, 54165, 51080, 54872, 51080, 52571, 51244, 51465, 51145, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50923, 72998, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 56643, 51243, 53460, 51243, 52690, 51353, 51476, 51243, 51465, 51445, 51938, 50888, 50908, 53321, 71881, 52079, 50982, 51510, 53963, 52872, 58644, 50865, 60654, 66501, 54545, 50863, 53666, 53670, 56223, 50948, 50927, 55271, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 52793, 70041, 52079, 50891, 51618, 58514, 53515, 52846, 55704, 50806, 58337, 66501, 58264, 53127, 50870, 54287, 50891, 51453, 59376, 52793, 50870, 51621, 53836, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 54183, 56596, 51582, 53963, 55375, 58644, 50836, 63812, 51008, 50964, 52217, 53067, 53356, 52331, 50936, 62975, 66501, 52079, 57265, 56596, 55819, 53670, 54117, 50948, 63812, 50874, 50953, 55271, 52079, 55762, 62967, 51277, 50791, 53836, 52958, 52684, 51148, 51465, 51047, 51249, 51127, 51327, 51244, 51938, 50888, 50891, 77165, 55338, 54225, 53836, 55686, 62967, 60593, 52079, 52846, 55704, 50911, 72488, 66501, 53836, 56782, 55338, 55991, 54038, 50756, 50291, 51312, 50791, 52079, 50928, 51621, 53836, 50891, 50799, 52583, 51151, 52507, 51080, 54008, 56308, 52571, 51183, 51410, 51145, 51231, 51183, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50862, 50964, 50862, 69889, 52872, 56223, 50865, 58773, 66501, 54545, 50863, 53666, 53670, 55704, 73732, 51370, 52079, 50891, 51556, 52079, 53115, 52693, 51145, 52684, 51151, 52326, 51047, 51410, 51145, 51303, 51148, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 56223, 51427, 50927, 51427, 66501, 53963, 50870, 54287, 50891, 51453, 53963, 50870, 51621, 53836, 50863, 50799, 53460, 51148, 53278, 51244, 51476, 51183, 51465, 51183, 51249, 51047, 51938, 50888, 50863, 53321, 74236, 53963, 50368, 51765, 54951, 62761, 50841, 51096, 51406, 53067, 53356, 58644, 68152, 51650, 64116, 52079, 50870, 53666, 70365, 53575, 56223, 62415, 51370, 52079, 50928, 51556, 53836, 52958, 56470, 51148, 53278, 55174, 54165, 52440, 54872, 51148, 52571, 51047, 51465, 51127, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 51379, 51019, 51379, 66501, 53836, 50863, 54287, 50908, 51453, 52079, 50928, 51621, 53836, 50891, 50799, 56643, 51445, 53460, 51313, 52690, 51151, 51476, 51264, 51465, 51445, 51938, 50888, 50908, 53321, 54605, 51250, 50891, 51536, 50891, 58374, 50891, 66322, 52465, 52079, 58362, 58644, 76409, 50837, 51536, 50891, 69019, 58374, 50837, 66322, 52465, 53963, 52872, 56223, 50893, 65557, 66501, 54545, 50863, 53666, 53670, 58644, 68152, 51370, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 53045, 70041, 52079, 50891, 51618, 58514, 52499, 52846, 58644, 50924, 51971, 50942, 64666, 66501, 58264, 52823, 56597, 51760, 53821, 53556, 56223, 50879, 51756, 50955, 65340, 52574, 51087, 52823, 55397, 52721, 53330, 56581, 52823, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51756, 50942, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 58644, 50836, 50964, 52217, 53067, 53356, 52331, 50936, 51971, 50839, 62975, 66501, 52079, 57265, 51971, 51124, 50920, 53670, 54117, 50948, 50953, 55271, 52079, 50928, 51556, 53836, 52958, 52684, 51148, 51756, 51003, 51465, 51047, 51249, 51127, 51327, 51244, 51938, 50888, 50891, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 50911, 51971, 50810, 72488, 66501, 53836, 56782, 51756, 51058, 58270, 51453, 52079, 56232, 51760, 55690, 53836, 50891, 50799, 52583, 51151, 52507, 51080, 54008, 56308, 52571, 51183, 51410, 51145, 51231, 51183, 51938, 50888, 50908, 53321, 71881, 52079, 58362, 58644, 50862, 50964, 50862, 69889, 52872, 56223, 50865, 58773, 66501, 54545, 50863, 53666, 53670, 55704, 50795, 52387, 50863, 51019, 51370, 52079, 55799, 52387, 54220, 52079, 53115, 52693, 51145, 52684, 51151, 51850, 50981, 52326, 51047, 51410, 51145, 51303, 51148, 51938, 50888, 50891, 54234, 70041, 52079, 50891, 51618, 53127, 52846, 56223, 51427, 51971, 50827, 50927, 51427, 66501, 53963, 56597, 51760, 70581, 50891, 51453, 53963, 55397, 51756, 57202, 53836, 50863, 50799, 53460, 51148, 53278, 51244, 51476, 51183, 51465, 51183, 51249, 51047, 51938, 50888, 58593, 52721, 57831, 74236, 53963, 50368, 51765, 54951, 62761, 50841, 51096, 51406, 55767, 53045, 53356, 58644, 51060, 52213, 50835, 50964, 51650, 64116, 52079, 50870, 53666, 70365, 53575, 56223, 50795, 52213, 51328, 50927, 51370, 59717, 52523, 50928, 51556, 53836, 52958, 56470, 51148, 53278, 55174, 54165, 52440, 54872, 51148, 52571, 51047, 51465, 51127, 51938, 50888, 65004, 53037, 51097, 54234, 70041, 53836, 50908, 51618, 52079, 52846, 55704, 51379, 54598, 51008, 51019, 51379, 66501, 53836, 56782, 53037, 50972, 58270, 51453, 52079, 56232, 54227, 51542, 50791, 53836, 50891, 50799, 56643, 51445, 53460, 51313, 52690, 51151, 51476, 51264, 51465, 51445, 51938, 50888, 50908, 53321, 54605, 51250, 50891, 51536, 50891, 58374, 50891, 66322, 52465, 52079, 58362, 58644, 76409, 50837, 51536, 50891, 69019, 58374, 50837, 66322, 52465, 58264, 53762, 52872, 56223, 50893, 65557, 66501, 54545, 50863, 53666, 53670, 58644, 68152, 51370, 52079, 50891, 51556, 52079, 50891, 51658, 54545, 57502, 51236, 52499, 70041, 52079, 50891, 51618, 58514, 52291, 52846, 58644, 50924, 51971, 50854, 64666, 66501, 58264, 53045, 56597, 51760, 55819, 53556, 56223, 50879, 51756, 50827, 65340, 52574, 51087, 53045, 55397, 52721, 55999, 56581, 53045, 50863, 50799, 53278, 51293, 52507, 51047, 53465, 51243, 51756, 50874, 51465, 51127, 51231, 51077, 51327, 51145, 51938, 50888, 50863, 53321, 74236, 53963, 55375, 58644, 50836, 50964, 52217, 53067 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 3152, 2214, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 4, 10326, 3459, 8669, 8, 4401, 757, 3178, 310, 5, 1049, 34879, 6, 7513, 30, 17465, 102, 6, 17605, 9590, 6, 8, 21072, 4, 20, 1349, 16, 11, 83, 3694, 6, 34, 10, 7212, 20889, 9, 8017, 163, 5683, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 272, 401, 6, 1918, 406, 6, 272, 73, 495, 6, 230, 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 ]

[ 57333, 50799, 53797, 76915, 50845, 53158, 53906, 50856, 67055, 53387, 50856, 53632, 54233, 53482, 51965, 50856, 53632, 50807, 51955, 52961, 54330, 51254, 50799, 53633, 53142, 50798, 52115, 50856, 53450, 50856, 59904, 54342, 50856, 53197, 51646, 51321, 51747, 55322, 51321, 53668, 51321, 52741, 51321, 67893, 56210, 53482, 50972, 51321, 50808, 50799, 53508, 74744, 50901, 53158, 53450, 50856, 59904, 54259, 50856, 53948, 67458, 53394, 51283, 50856, 53948, 50838, 51955, 53586, 53508, 50838, 50799, 54330, 51592, 50798, 50943, 53158, 53450, 50856, 59904, 52309, 50856, 53948, 54137, 51321, 52972, 55945, 52060, 54023, 50584, 54672, 51553, 54023, 50584, 52848, 53482, 50955, 51321, 59488, 74859, 53586, 55393, 50375, 53120, 66103, 50812, 50799, 53797, 51051, 51289, 52972, 54644, 55393, 55921, 52921, 53482, 65024, 61319, 53387, 55393, 55921, 53948, 60698, 53482, 51174, 56797, 53948, 58627, 55393, 54478, 53482, 64533, 53633, 50972, 50903, 52961, 53482, 50904, 50799, 53797, 72494, 52115, 55393, 72153, 52921, 53482, 65024, 61319, 54342, 55393, 55921, 53835, 53505, 53482, 68112, 51321, 53197, 66798, 55393, 54478, 53482, 51174, 51321, 54803, 51321, 52843, 54330, 51051, 51321, 58713, 52931, 53633, 53701, 50584, 50810, 50799, 53797, 64788, 57437, 55393, 55921, 52580, 53482, 65024, 60433, 54259, 55393, 55921, 53970, 51432, 50435, 53482, 51174, 56797, 53970, 58978, 55393, 54478, 53482, 53567, 53508, 50972, 50903, 53586, 53394, 50904, 50799, 53797, 72494, 60413, 55393, 55921, 52580, 53482, 65024, 60433, 55214, 55393, 55921, 53970, 60282, 53482, 68112, 51321, 53197, 69692, 53633, 54478, 54330, 51174, 52060, 52346, 50584, 54803, 51553, 54023, 50584, 52843, 53633, 50972, 51321, 58713, 74859, 53586, 53482, 76385, 66103, 63849, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51051, 51089, 51283, 51289, 52757, 50584, 53197, 54644, 55393, 50851, 51020, 51380, 51321, 58713, 53770, 53482, 50972, 50431, 51268, 66013, 55393, 54858, 50584, 58713, 60282, 53482, 51254, 50436, 51815, 51484, 50437, 51282, 51645, 50438, 51118, 52188, 51065, 56104, 68861, 55393, 54682, 53482, 51376, 51065, 72900, 62617, 51065, 54823, 53633, 51074, 51118, 50874, 51282, 58948, 72900, 53702, 53482, 73340, 72900, 50805, 50460, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51376, 51089, 51283, 51321, 53948, 52864, 55393, 51210, 51020, 51380, 51321, 59904, 53466, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 59904, 61647, 53482, 51376, 50436, 51815, 51283, 50437, 51282, 51637, 50438, 51118, 51965, 51065, 54592, 50578, 68861, 55393, 54682, 53482, 51376, 51065, 54592, 50576, 53562, 54330, 77219, 53633, 50370, 52094, 54592, 50572, 50845, 50460, 51282, 53577, 50461, 51118, 52256, 50799, 53797, 51210, 51089, 51283, 51321, 53948, 58879, 55393, 50907, 51020, 51380, 51321, 59904, 52483, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 59904, 57807, 53482, 51376, 50436, 51083, 51484, 50437, 51268, 51645, 50438, 51023, 52188, 51065, 63054, 60132, 55393, 54682, 53482, 50370, 52094, 73156, 59414, 51065, 56881, 53508, 51074, 51023, 50874, 51268, 58948, 73156, 52961, 55160, 73340, 73156, 50805, 50460, 51083, 53577, 50461, 51268, 52256, 50799, 53797, 51376, 51023, 51283, 51321, 53835, 52864, 55393, 50907, 51092, 51380, 51321, 61319, 52483, 53482, 51074, 50431, 51268, 66013, 55393, 54592, 50584, 61319, 60282, 53482, 51376, 50436, 51083, 51627, 50437, 51268, 51637, 50438, 51023, 51965, 51065, 54858, 50578, 68861, 53633, 54682, 54330, 51376, 51065, 76937, 53562, 53633, 59435, 53482, 54592, 50576, 64088, 74879, 51326, 61629, 51083, 53577, 51289, 59026, 51061, 52256, 50799, 53633, 51210, 51023, 51283, 51321, 53197, 55689, 54330, 50907, 51092, 51380, 51321, 58713, 53890, 53394, 51074, 50431, 51208, 66013, 54330, 54592, 50584, 58713, 60282, 53394, 51376, 50436, 51282, 51484, 50437, 51083, 51645, 50438, 51061, 52188, 51065, 56104, 68861, 54330, 54682, 53394, 51376, 51065, 72900, 65782, 51065, 54823, 53508, 51074, 71375, 51083, 58948, 72900, 60345, 53394, 73340, 72900, 50795, 50460, 51083, 53577, 50461, 51061, 52256, 50799, 53633, 51376, 51023, 51283, 51321, 53948, 52864, 54330, 51210, 51092, 51380, 51321, 59904, 56346, 53394, 51074, 50431, 51208, 66013, 54330, 54592, 50584, 59904, 61647, 53394, 51376, 50436, 51282, 51283, 50437, 51083, 51637, 50438, 51061, 51965, 51065, 54592, 50578, 68861, 54330, 57043, 53394, 51470, 51065, 54592, 50576, 53562, 54289, 51365, 50456, 53508, 50369, 52094, 54592, 50572, 50845, 50460, 51083, 53577, 50461, 51061, 52256, 50799, 53633, 51365, 51023, 51283, 51321, 53948, 58879, 54330, 50984, 51092, 51380, 51321, 59904, 63098, 53394, 51166, 50431, 51208, 66013, 54330, 58112, 50584, 59904, 63363, 53394, 51470, 50436, 51020, 51484, 50437, 51208, 51645, 50438, 51185, 52188, 51065, 63054, 62532, 54330, 57043, 53394, 50369, 52094, 73156, 55967, 51065, 56881, 54664, 51166, 51185, 50874, 51208, 58948, 73156, 52325, 57953, 50369, 52268, 73156, 50806, 50460, 51020, 53577, 50461, 51208, 52256, 50799, 53633, 51470, 51185, 51283, 51321, 53835, 55099, 54330, 50984, 51530, 51380, 51321, 61319, 57078, 53394, 51166, 50431, 51208, 66013, 54330, 58112, 50584, 61319, 60282, 53394, 51470, 50436, 51020, 51627, 50437, 51208, 51637, 50438, 51185, 51965, 51065, 54858, 50578, 68861, 53508, 57043, 54289, 51470, 51065, 76937, 53562, 53508, 62524, 53394, 50369, 55801, 67000, 74879, 51326, 61630, 51083, 52212, 51289, 58693, 51020, 52441, 50799, 55950, 51058, 51193, 52063, 50798, 58315, 51185, 54177, 53797, 55759, 65280, 62846, 51092, 53272, 53900, 50838, 51092, 50987, 51321, 54937, 51193, 50372, 54936, 71367, 53797, 63221, 51456, 71259, 53900, 50827, 51083, 52136, 51224, 61360, 51020, 52034, 50438, 51193, 51884, 50798, 58935, 53797, 75396, 51321, 53041, 53900, 51006, 51023, 52063, 50798, 70577, 51321, 53938, 53482, 50972, 51020, 51376, 51321, 53630, 52935, 53900, 51051, 51193, 55136, 67049, 61629, 51118, 52212, 50461, 51341, 52441, 50799, 53482, 51174, 51020, 52063, 62031, 50415, 51092, 54177, 53633, 51051, 51321, 53630, 62658, 51193, 53272, 54198, 77296, 60539, 51023, 55651, 65280, 60673, 53633, 50912, 53924, 58853, 54198, 50912, 51118, 52136, 50804, 58572, 51341, 52034, 50438, 51023, 51884, 50798, 50942, 50441, 53394, 54947, 53508, 51254, 51020, 52063, 51321, 64684, 50798, 57415, 53394, 51079, 51341, 69096, 54198, 51142, 51020, 62274, 66660, 50798, 50959, 50460, 51118, 52212, 50461, 51089, 52441, 50799, 53482, 51376, 51020, 52063, 50415, 51092, 53656, 58793, 53633, 51210, 51321, 63630, 51193, 54438, 58216, 54330, 51074, 51193, 50987, 51321, 54937, 51023, 50372, 54936, 61231, 53633, 76969, 51456, 51126, 50436, 54330, 50907, 51118, 52136, 51224, 59701, 51089, 52034, 50438, 51023, 51884, 50798, 50897, 50441, 53394, 50984, 50443, 51321, 54247, 53508, 51470, 51020, 52063, 50798, 51008, 50445, 51321, 53886, 53394, 51166, 51089, 51376, 51321, 53630, 54896, 54330, 51365, 51020, 62274, 54200, 50933, 50460, 51557, 52212, 50461, 51341, 52441, 77633, 51470, 51020, 52063, 50798, 50942, 50415, 51193, 54177, 53394, 51365, 51321, 63630, 51023, 54438, 55640, 53508, 51166, 51023, 60539, 51020, 55651, 50375, 53323, 64458, 53394, 50984, 53924, 62439, 53508, 50984, 51557, 52136, 50804, 58572, 51341, 52034, 50438, 51020 ]

[ 0, 250, 15855, 2125, 19, 25771, 4785, 6, 42, 2214, 7630, 6568, 10, 1472, 9, 26545, 8, 22845, 41708, 4, 2595, 10312, 30, 10, 6755, 12547, 6, 21979, 8669, 6, 31391, 1672, 9590, 6, 12280, 3275, 1725, 3109, 6, 8, 1076, 560, 31365, 25999, 6, 24, 30853, 23, 10, 2635, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 274, 538, 6, 24, 1575, 10, 33215, 16739, 9, 274, 6, 1918, 6, 8, 211, 119, 4, 20, 34879, 32, 16634, 8, 5679, 26709, 6, 6946, 1235, 157, 7, 10, 822, 19834, 50, 10, 1151, 9, 5128, 12456, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 57128, 55298, 51397, 51246, 51073, 51037, 51056, 50417, 52044, 51290, 51007, 72929, 52443, 51073, 50939, 51157, 50423, 52292, 51290, 50872, 51157, 65404, 51048, 69385, 50429, 52044, 51290, 51007, 51157, 50432, 52443, 51312, 50939, 51199, 50435, 52292, 51073, 50872, 51157, 51272, 50301, 51203, 51131, 51048, 50946, 51267, 50441, 52044, 51055, 51007, 65455, 52443, 51048, 50939, 51056, 50447, 52292, 51073, 55298, 64986, 69785, 79186, 50885, 51157, 50453, 52044, 51290, 51007, 51157, 50456, 52443, 51073, 50939, 51159, 50459, 52292, 51073, 76158, 50461, 51246, 51290, 51094, 50302, 51397, 51037, 51159, 50417, 52044, 51290, 51007, 51157, 50420, 52443, 51267, 50939, 51253, 50423, 52292, 51073, 76158, 65404, 76800, 51267, 50429, 52044, 51073, 51007, 69133, 52443, 51159, 50939, 51267, 50435, 52292, 51048, 76686, 51272, 50301, 51203, 51131, 51073, 50946, 51056, 50441, 52044, 51073, 51007, 74322, 52443, 51159, 50939, 51267, 50447, 52292, 51048, 55298, 51134, 50872, 70147, 50986, 51454, 50885, 51073, 50453, 52044, 51055, 51007, 67523, 52443, 51157, 50939, 51267, 50459, 52292, 51073, 58982, 50827, 76158, 51094, 50302, 51714, 51246, 51454, 52457, 50858, 51037, 51073, 50417, 52044, 51267, 52457, 57561, 51253, 50420, 52443, 51159, 52457, 50808, 50939, 51267, 50423, 52292, 51055, 52457, 51235, 50872, 62521, 50960, 51073, 69385, 50429, 52044, 51055, 51007, 68175, 52443, 51159, 52832, 59183, 51109, 50435, 52292, 51073, 52832, 56948, 76094, 51246, 51073, 52832, 50858, 51037, 51056, 50441, 52044, 51073, 54641, 50833, 51007, 74322, 52443, 51048, 54641, 59183, 51159, 50447, 52292, 51073, 54641, 51116, 50872, 75355, 50960, 51048, 69385, 50453, 52044, 51073, 51007, 74323, 52443, 51159, 60160, 58338, 51109, 50459, 52292, 51073, 58982, 50844, 76158, 51094, 50301, 51714, 51131, 51055, 52457, 75708, 51157, 50417, 52044, 51073, 52457, 72580, 75354, 52443, 51159, 52457, 50808, 50939, 51109, 50423, 52292, 51073, 52457, 51238, 76158, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 69133, 52443, 51267, 52832, 50808, 50939, 51312, 50435, 52292, 51290, 52832, 73044, 76094, 51131, 51290, 52832, 73696, 51159, 50441, 52044, 51073, 54641, 57561, 74322, 52443, 51159, 54641, 59183, 51267, 50447, 52292, 51073, 54641, 58521, 75355, 50960, 51157, 73304, 50453, 52044, 51073, 54641, 72580, 74323, 52443, 51159, 57435, 50866, 52832, 63654, 51109, 50459, 52292, 51073, 54641, 50854, 76158, 51094, 50299, 51151, 51207, 51454, 52832, 78952, 51073, 50417, 52044, 51055, 52457, 51291, 51007, 72929, 52443, 51048, 50939, 51159, 50423, 52049, 51056, 77643, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 51157, 50432, 52443, 51073, 50939, 51159, 50435, 52049, 51048, 50847, 67272, 51207, 51566, 50988, 51048, 50441, 52044, 51290, 51007, 74322, 52443, 51048, 50939, 51056, 50447, 52049, 51048, 50847, 70147, 50960, 51566, 50848, 51048, 50453, 52044, 51290, 51007, 67523, 52443, 51157, 50939, 51056, 50459, 52049, 51073, 56724, 55305, 51157, 54920, 51151, 79186, 52770, 65215, 51157, 50417, 52895, 51073, 52770, 50858, 51298, 51157, 50420, 51975, 51073, 52770, 61633, 51159, 50423, 52049, 51157, 52770, 51160, 50847, 68106, 79186, 50885, 51157, 50429, 52895, 51073, 51298, 51157, 50432, 51975, 51048, 52457, 57638, 51056, 50435, 52049, 51048, 52457, 61520, 69241, 50986, 51290, 52457, 65554, 51159, 50441, 52895, 51073, 52832, 50858, 51298, 74322, 51975, 51073, 52832, 55175, 51159, 50447, 52049, 51073, 52832, 50917, 68272, 50450, 79186, 50885, 51157, 50453, 52895, 51157, 52457, 51624, 50319, 77304, 51975, 51048, 50909, 51159, 50459, 52049, 51157, 52770, 56977, 51056, 68496, 51397, 51136, 51055, 50979, 51157, 50417, 52895, 51055, 52770, 50859, 51298, 72929, 52443, 51073, 52770, 63654, 51159, 50423, 52049, 51048, 52770, 51235, 68272, 50426, 51136, 51055, 50979, 51157, 50429, 52895, 51048, 51298, 51056, 50432, 52443, 51157, 52457, 64357, 51056, 50435, 52049, 51073, 52457, 57753, 51159, 65270, 51047, 51131, 51566, 50946, 51048, 50441, 52342, 51073, 52832, 60090, 67645, 51975, 51048, 52832, 50833, 50909, 51159, 50447, 52292, 51109, 52832, 58541, 77072, 50986, 51290, 76420, 50453, 52342, 51566, 54641, 50859, 51257, 80071, 51975, 51056, 52832, 50808, 50909, 51109, 50459, 52292, 51157, 54641, 56948, 51056, 51094, 50302, 51047, 51246, 51048, 52832, 56932, 51267, 50417, 52044, 51073, 52457, 51235, 51007, 75354, 52443, 51290, 50939, 51157, 50423, 52292, 51048, 76686, 65404, 51055, 50848, 51157, 50429, 52044, 51055, 54641, 64909, 68175, 52443, 51157, 52832, 50808, 50939, 51056, 50435, 52292, 51048, 54641, 56948, 51056, 51272, 50301, 51047, 51131, 51566, 52832, 68479, 51048, 50441, 52044, 51566, 52457, 51116, 51007, 51290, 50444, 52443, 51290, 50939, 51157, 50447, 52292, 51048, 50872, 75355, 50986, 51454, 50885, 51073, 50453, 52044, 51055, 54641, 50808, 51007, 51073, 50456, 52443, 51056, 52832, 56808, 51109, 50459, 52292, 51157, 54641, 73044, 51267, 51094, 50299, 51714, 51207, 51566, 52832, 50808, 50988, 51048, 50417, 52044, 51048, 52457, 51291, 51007, 75354, 52443, 51073, 50939, 51159, 50423, 52049, 51159, 69537, 65404, 51055, 50848, 51157, 50429, 52044, 51290, 51007, 51157, 50432, 52443, 51048, 50939, 51159, 50435, 52049, 51157, 50847, 67272, 51207, 51055, 50988, 51157, 50441, 52044, 51290, 51007, 65455, 52443, 51159, 50939, 51267, 50447, 52049, 51048, 50847, 70147, 50960, 76800, 51267, 50453, 52044, 51290, 51007, 51157, 50456, 52443, 51157, 52584, 50845, 58982, 59183, 51267, 50459, 52049, 51073, 58982, 59262, 51159, 51094, 50302, 51714, 51246, 51454, 52457, 56932, 51073, 50417, 52044, 51267, 52457, 57561, 51253, 50420, 52443, 51159, 52457, 50808, 50939, 51267, 50423, 52292, 51055, 52457, 50991, 50872, 62521, 50960, 51073, 69385, 50429, 52044, 51055, 51007, 68175, 52443, 51159, 52832, 63654, 51109, 50435, 52292, 51073, 52832, 50854, 50872, 76094, 51246, 51073, 52832, 50808, 51037, 51056, 50441, 52044, 51073, 54641, 64909, 74322, 52443, 51048, 54641, 59183, 51159, 50447, 52292, 51073, 54641, 57045, 75355, 50960, 51048, 69385, 50453, 52044, 51073, 51007, 74323, 52443, 51159, 55298, 50845, 58982, 50808, 50939, 51109, 50459, 52292, 51073, 58982, 50854, 76158, 51094, 50301, 51714, 51131, 51055, 52457, 73696, 51157, 50417, 52044, 51073, 52457, 72580, 75354, 52443, 51159, 52457, 56808, 51109, 50423, 52292, 51073, 52457, 51116, 76158, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 69133, 52443, 51267, 52832, 59183, 51312, 50435, 52292, 51290, 52832, 73044, 76094, 51131, 51290, 52832, 68479, 51159, 50441, 52044, 51073, 54641, 64909, 74322, 52443, 51159, 54641, 59183, 51267, 50447, 52292, 51073, 54641, 58541, 75355, 50960, 51157, 73304, 50453, 52044, 51073, 54641, 50833, 51007, 74323, 52443, 51159, 54144, 50845, 52832, 59183, 51109, 50459, 52292, 51073, 54641, 73044, 51159, 51094, 50299, 51714, 51207, 51454, 52832, 50808, 50988, 51073, 50417, 52044, 51055, 52457, 51446, 51007, 72929, 52443, 51048, 50939, 51159, 50423, 52049, 51056, 77643, 65404, 51055, 50848, 51157, 50429, 52044, 51073, 51007, 51157, 50432, 52443, 51073, 50939, 51159, 50435, 52049, 51048, 50847, 67272, 51207, 51566, 50988, 51048, 50441, 52044, 51290, 51007, 74322, 52443, 51048, 50939, 51056, 50447, 52049, 51048, 50847, 70147, 50960 ]

[ 0, 250, 182, 765, 37903, 9, 5175, 8, 11057, 930, 19, 10, 2933, 8, 20425, 16464, 6, 4246, 21072, 816, 11, 10, 7212, 204, 73, 306, 20889, 11, 5, 762, 9, 163, 3694, 6, 19, 10, 881, 3676, 1176, 406, 33215, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 52428, 51005, 54749, 54162, 55130, 54906, 62262, 62262, 62262, 62262, 58094, 53833, 53846, 53473, 52942, 52942, 53843, 51695, 51759, 53612, 53349, 53110, 58372, 61227, 65192, 54925, 51287, 50797, 52141, 52942, 55019, 53349, 52990, 52990, 57872, 70325, 50856, 50982, 50418, 50798, 58094, 55569, 53665, 55567, 55567, 62503, 51287, 50963, 51663, 60526, 60526, 66032, 56454, 53434, 52942, 52942, 53843, 53843, 53843, 53766, 51663, 60290, 55567, 55567, 55454, 55942, 55942, 54493, 53665, 53864, 61266, 61664, 58409, 50798, 54880, 55136, 55018, 64024, 50798, 54366, 54200, 64527, 50798, 54534, 54200, 53618, 53852, 53871, 53871, 53871, 54739, 54162, 50883, 59915, 50895, 51302, 53966, 52572, 54866, 54866, 54866, 54866, 53338, 53479, 53479, 53479, 53850, 53850, 51139, 51406, 51695, 53833, 53759, 52942, 52942, 53843, 53766, 53766, 54623, 58117, 56118, 56118, 58372, 57872, 60099, 54623, 56973, 50804, 62348, 53338, 51130, 51916, 51695, 60486, 50365, 51367, 79694, 65192, 58117, 63519, 51927, 50797, 55630, 54563, 53665, 55567, 55567, 55567, 55454, 55454, 61193, 50856, 59121, 60526, 60290, 60290, 56183, 55567, 50891, 51974, 53852, 54906, 54906, 52220, 58094, 51916, 51833, 53944, 54119, 52942, 52942, 52942, 52942, 53843, 53843, 53843, 53766, 51663, 55942, 53612, 53864, 53864, 51920, 57872, 56802, 52855, 51005, 53852, 52816, 62262, 58094, 53612, 59121, 55454, 55454, 62449, 50863, 54127, 51004, 55935, 55536, 54835, 54538, 53784, 54212, 52572, 53479, 53850, 53850, 51031, 50437, 50804, 52586, 65617, 51004, 51570, 54640, 53846, 54119, 54357, 52942, 52942, 53843, 53766, 51695, 51759, 53110, 53584, 53584, 55019, 60032, 77590, 53237, 53110, 52995, 52995, 51920, 52990, 55019, 61184, 50798, 55136, 59721, 50798, 54880, 55136, 55136, 55136, 55136, 54147, 54493, 59121, 56183, 55567, 62971, 61664, 60290, 60290, 56183, 56183, 55567, 55454, 50870, 52129, 62262, 62262, 62262, 52220, 58094, 55147, 54119, 52942, 53843, 53843, 53843, 51695, 51759, 53665, 70470, 71623, 61722, 50798, 54200, 54749, 52220, 58094, 55147, 53434, 52942, 54973, 60526, 60526, 55454, 54493, 53864, 53349, 52995, 60961, 79926, 55018, 53784, 54499, 54866, 54866, 54866, 54866, 53338, 53479, 54844, 52748, 51187, 52141, 55147, 52141, 52141, 52942, 52942, 53843, 53843, 53766, 53766, 54623, 60276, 56721, 50804, 63272, 57282, 54212, 52572, 54866, 53479, 51130, 52223, 53766, 59566, 50365, 51564, 60276, 58117, 60961, 56118, 58372, 58372, 54404, 67641, 50798, 53618, 53756, 52816, 54749, 62262, 62262, 58094, 51916, 54778, 53665, 55567, 55567, 55567, 60570, 50798, 58094, 54493, 60526, 60526, 60290, 60290, 56183, 55567, 55454, 55454, 55942, 50863, 51453, 51750, 54640, 58272, 53846, 54119, 53473, 54357, 52942, 52942, 53843, 53766, 53766, 51663, 59121, 59121, 54493, 54493, 53665, 53612, 59169, 61664, 59121, 60290, 56183, 54493, 53665, 53349, 53110, 50895, 57796, 54518, 50361, 50934, 71905, 62348, 62348, 56870, 56870, 57282, 56013, 50798, 54880, 54880, 54880, 54880, 55136, 55136, 54518, 71905, 55536, 55536, 55536, 63414, 50798, 54880, 54880, 55136, 55136, 54749, 53479, 50359, 50934, 63272, 62348, 62348, 62348, 56870, 57282, 57282, 54835, 56172, 50804, 57282, 55536, 50908, 51528, 53852, 53852, 53756, 54739, 54749, 54906, 62262, 62262, 52220, 58094, 51833, 51833, 51750, 54357, 52141, 52141, 52942, 52942, 51663, 53237, 52990, 62561, 57666, 50843, 53759, 53759, 53843, 53843, 54973, 59121, 53237, 51920, 52990, 52893, 68259, 56118, 50884, 63311, 72465, 68419, 50798, 55136, 75767, 54412, 51916, 53665, 55567, 55454, 70470, 77940, 50843, 51663, 59121, 60526, 60526, 56183, 55454, 53070, 53752, 52348, 51833, 51750, 54640, 55630, 54357, 52942, 53843, 53843, 53766, 51663, 60290, 55942, 54493, 53665, 53665, 53110, 53584, 53390, 53390, 57590, 58092, 50843, 53833, 55019, 59121, 79694, 55983, 50798, 54880, 54880, 54528, 63272, 55536, 53899, 50798, 54200, 54200, 53338, 78572, 50798, 54534, 54534, 54200, 53871, 52816, 54739, 62262, 52220, 50817, 59915, 54357, 50949, 51302, 53784, 52572, 52572, 54866, 54866, 53338, 53338, 53338, 53479, 51139, 51539, 51467, 51187, 51139, 51695, 52141, 52942, 52942, 52942, 53843, 53843, 54623, 60276, 57590, 58372, 56973, 50804, 62348, 56870, 54131, 52572, 53338, 53479, 51139, 55630, 53843, 57901, 79694, 60276, 58117, 57590, 58372, 60099, 54396, 55094, 50430, 51320, 55623, 54493, 56183, 55567, 55567, 55454, 58734, 50843, 53833, 51663, 59121, 60290, 56183, 55454, 55454, 62449, 51693, 51974, 52816, 54749, 54749, 58094, 51833, 55147, 52141, 52141, 52942, 52942, 52942, 53843, 53843, 54973, 53612, 53864, 60961, 60276, 59076, 50798, 54200, 53871, 54749, 58094, 55147, 53843, 54973, 59121, 60290, 60290, 54493, 53665, 53665, 53612, 53864, 50828, 53924, 51129, 55957, 60723, 50798, 54518, 63272, 62348, 53784, 54499, 54866, 54866, 53338, 53893, 57776, 50804, 71905, 62348, 51179, 54539, 53018, 51320, 54119, 54640, 53473, 52141, 52942, 52942, 53843, 53843, 53766, 51759, 51920, 53110, 53584, 56866, 50843, 53843, 55019, 52995, 52995, 53237, 53390, 53390, 53498, 53498, 60464, 50798, 55136, 55136, 55136, 54518, 53600, 59144, 50798, 54880, 55136, 51750, 54778, 54493, 59121, 56183, 56183, 56183, 56183, 55567, 65672, 52902, 53498, 60290, 55567, 55567, 55567, 53594, 52055, 51005, 62262, 52220, 58094, 55147, 54119, 52942, 52942, 53766, 51759, 53665, 53665, 60276, 62449, 61722, 52613, 51005, 54749, 54162, 52220, 51695, 52141, 54357, 53843, 53843, 53843, 54973, 60526, 55567, 53390, 56118, 50363, 51564, 50368, 51564, 60961, 50846, 56576, 51004, 57048, 50949, 51382, 62348, 54131, 54866, 54866, 53338, 53479, 53850, 53893, 54844, 58272, 53816, 54119, 52141, 54357, 52942, 52942, 52942, 53766, 53766, 51695, 54623, 61227, 60276, 60218, 56721, 50804, 54212, 52572, 54866, 53479, 53479, 51139, 51916, 53766, 56561, 79694, 58117, 60961, 56118, 58372, 58372, 57872, 57443, 50798, 62962, 79022, 54749, 54749, 54749, 54749, 55130, 52220, 58094, 55569, 53665, 56183, 56183, 55567, 55567, 55942, 60570, 50798, 52220, 58094, 54493, 59121, 56183, 55454, 55942, 55942, 50863, 51453, 54640, 53846, 54119, 52141, 53759, 52942, 52942, 52942, 53843, 54973, 53665, 53665, 53612, 53864, 52995, 61160, 51287, 50963, 53843, 54973, 59121, 60290, 55942, 54493, 53665, 53612, 53864, 56399, 50798, 54880, 54528, 50361, 50934, 71905, 71905, 62348, 62348, 56870, 56870, 55536, 56013, 50798, 54880, 54880, 54880, 55136, 55136, 55136, 54518, 56870, 63414, 50798, 55136, 55136, 51463, 71905, 63272, 63272, 62348, 62348, 57282, 57282, 57282, 57282, 54835, 50870, 56483, 57282, 50908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8, 15352, 30054, 11057, 12, 15076, 24904, 6, 42, 765, 2214, 22750, 1626, 11098, 8, 1619, 9450, 4, 590, 10, 23667, 12701, 4450, 20889, 11, 204, 73, 306, 86, 6, 5, 13305, 8, 23338, 33518, 1264, 483, 5, 169, 6, 2800, 30, 5, 4066, 23225, 9, 5, 326, 5638, 18026, 6, 20535, 2810, 6, 8, 21979, 9590, 4, 8504, 11, 5, 762, 9, 230, 3694, 6, 24, 1575, 10, 33215, 13931, 9, 211, 119, 1176, 406, 6, 83, 406, 6, 163, 119, 1176, 406, 6, 3676, 406, 6, 8, 1918, 1176, 406, 6, 1271, 7, 63, 17627, 17274, 8, 25306, 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 ]

[ 59626, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 50446, 51389, 60649, 51984, 51242, 50903, 51003, 50458, 51389, 51174, 66269, 71162, 55973, 52078, 50933, 50903, 62647, 64760, 54407, 50435, 52078, 60438, 52078, 53156, 75577, 52078, 60258, 52078, 50959, 50903, 62647, 50967, 50457, 52078, 61076, 54407, 53028, 50914, 50422, 55781, 51141, 51768, 62647, 64760, 54407, 50438, 52078, 56522, 51110, 50447, 51668, 52800, 51150, 51337, 50903, 62647, 64603, 51868, 53156, 50878, 56950, 58880, 55382, 51930, 51330, 50903, 55859, 55965, 51984, 51380, 50791, 51043, 53526, 68788, 51668, 71940, 51261, 51212, 50903, 51110, 51553, 77055, 51216, 62328, 50959, 51206, 50830, 55669, 76422, 50915, 50422, 51668, 57104, 51150, 51043, 51553, 72435, 51553, 68630, 51868, 50987, 51553, 58946, 51389, 65220, 50932, 51289, 50995, 50446, 51273, 55758, 51493, 63238, 51167, 50457, 51705, 51008, 54820, 50830, 53458, 76102, 50914, 50425, 53175, 51242, 52058, 50838, 52384, 50905, 51866, 51212, 51768, 62647, 64760, 54407, 50438, 51493, 64389, 51110, 51955, 62647, 50967, 52058, 51006, 51866, 50866, 53175, 50838, 52384, 78450, 54407, 53028, 50914, 50422, 51866, 51191, 52701, 51204, 52178, 51295, 50423, 51216, 50983, 51768, 62647, 64760, 54407, 51570, 51110, 50439, 52148, 51363, 51947, 51172, 52698, 51233, 50440, 51389, 51177, 51955, 62647, 50967, 50452, 51389, 51025, 50458, 54407, 50459, 51668, 50955, 50461, 51216, 50851, 53458, 51312, 50791, 50915, 51544, 51110, 50427, 53175, 50905, 51866, 50905, 52058, 51470, 52384, 50978, 53924, 50897, 54407, 50438, 51493, 56901, 79295, 51553, 54284, 51553, 56918, 51553, 52725, 51553, 50967, 53175, 50987, 51866, 50905, 52384, 50987, 52058, 51174, 57268, 50959, 51206, 50897, 51755, 50981, 51206, 50915, 50422, 51216, 51204, 52178, 50943, 51866, 51003, 52701, 51351, 51544, 50955, 55994, 50933, 55481, 55336, 50933, 53550, 67700, 50955, 51947, 51233, 52488, 51043, 53084, 51177, 52698, 51121, 50439, 51389, 51413, 55258, 62706, 50933, 53526, 56879, 64043, 57696, 51419, 51382, 62647, 51233, 57268, 55336, 50933, 53458, 69238, 51110, 57696, 50862, 51768, 51233, 50856, 51175, 51648, 50959, 51888, 50925, 52310, 50878, 51776, 50977, 50427, 57696, 51000, 53924, 54146, 50856, 56057, 51273, 51241, 51206, 51110, 50439, 57696, 50874, 51955, 51233, 50856, 50967, 57696, 50874, 53175, 50905, 52058, 51174, 52384, 51058, 51866, 50974, 54124, 55941, 50897, 53458, 51159, 50856, 51110, 50422, 77029, 51363, 50424, 52310, 50925, 51648, 50878, 51888, 50942, 51776, 50937, 51768, 51233, 50856, 51175, 50434, 51098, 51591, 50804, 54146, 50856, 50897, 77029, 51210, 56797, 51110, 57696, 51051, 50449, 53175, 50866, 52384, 50978, 51866, 50978, 52058, 51254, 51955, 51233, 50856, 50967, 57696, 51330, 54124, 54146, 50856, 50897, 54389, 64835, 50915, 60119, 52580, 50856, 51110, 60119, 78555, 51683, 50844, 52578, 50812, 51648, 50844, 52002, 50942, 53924, 61965, 55467, 51273, 73497, 51043, 60119, 51365, 50446, 51553, 54284, 51553, 56918, 51553, 50820, 52194, 50892, 52698, 51254, 52488, 50838, 52148, 58262, 51553, 50967, 60119, 50904, 57268, 50959, 51206, 50897, 53458, 51003, 50422, 52310, 51267, 51648, 50995, 51888, 50943, 50423, 77029, 51242, 51776, 50943, 51544, 51365, 55994, 72215, 54928, 77029, 65867, 51098, 51077, 51570, 50933, 51866, 50974, 53175, 51058, 52384, 50987, 52058, 51210, 50439, 57696, 60696, 52653, 55894, 73311, 56033, 50959, 52320, 63551, 58053, 60864, 56033, 51252, 50461, 57696, 50822, 53458, 73497, 51110, 50425, 57696, 50827, 51768, 51233, 50856, 51175, 53175, 50978, 51866, 51006, 52384, 50978, 50427, 52058, 51376, 53924, 54146, 50856, 50897, 50437, 57696, 64147, 51389, 51391, 50856, 51110, 50449, 57696, 51432, 52310, 50866, 51648, 50845, 51776, 50901, 51955, 51233, 50856, 50967, 51888, 50873, 54124, 54146, 50856, 50897, 53458, 51351, 50856, 51110, 50421, 77029, 50867, 53175, 51277, 52384, 51328, 51866, 51277, 52058, 51074, 50422, 52148, 51128, 51768, 51233, 50856, 51175, 50434, 51098, 78248, 54146, 50856, 50897, 77029, 66186, 57696, 55467, 50856, 51110, 53526, 50830, 57696, 79856, 51648, 50892, 50449, 51888, 50901, 51776, 50901, 52310, 50987, 51955, 51233, 50856, 50967, 60119, 50933, 50457, 60477, 51000, 54124, 54146, 50856, 74369, 77029, 51480, 55858, 51110, 50425, 52384, 51328, 53084, 51328, 51866, 51328, 52488, 51642, 51776, 50873, 53170, 50873, 52991, 51177, 51888, 50892, 51768, 51233, 50856, 51175, 50427, 51389, 51400, 53924, 54146, 50856, 50897, 77029, 54584, 50856, 51110, 60119, 62928, 60119, 65311, 53170, 50978, 52991, 50974, 51888, 51058, 52578, 59881, 51273, 51157, 50903, 51233, 50856, 50967, 52384, 51058, 52488, 51079, 53084, 50972, 52698, 50978, 54124, 54146, 50856, 64175, 60119, 78693, 57696, 53486, 53458, 51591, 50801, 50981, 51206, 50915, 50421, 51963, 51351, 51683, 51204, 51888, 51204, 50422, 52194, 51241, 53572, 51003, 51866, 51003, 51544, 50955, 55994, 50933, 55481, 55336, 50933, 53550, 67700, 50955, 51866, 50892, 53084, 50845, 52488, 50838, 51648, 51178, 51963, 51121, 52310, 51100, 55258, 62706, 62565, 51273, 60054, 56879, 50933, 56033, 50959, 50449, 58053, 67426, 51493, 64390, 62647, 51233, 50457, 56033, 51862, 50458, 51273, 57567, 55336, 71584, 57696, 51123, 53458, 51351, 50856, 51110, 51516, 50938, 50425, 51516, 50805, 51768, 51233, 50856, 51175, 57696, 50827, 52310, 50822, 51648, 50822, 51888, 50810, 51776, 50810, 53924, 54146, 50856, 50897, 57696, 57481, 51273, 51351, 50856, 51110, 57696, 51254, 51516, 77534, 57696, 50978, 51955, 51233, 50856, 50967, 53175, 50987, 52384, 50978, 51866, 51058, 52058, 51376, 51516, 50937, 54124, 54146, 50856, 50897, 55858, 51110, 50416, 51098, 51267, 50422, 77029, 51391, 52461, 51073, 50424, 52310, 50866, 51648, 50978, 51888, 50977, 51776, 50987, 51768, 51233, 50856, 51175, 50434, 51098, 78470, 54146, 50856, 50897, 50436, 52461, 50942, 50437, 53175, 51101, 51866, 50901, 52384, 50849, 52058, 56298, 50856, 51110, 57696, 50959, 50439, 51516, 50937, 51955, 51233, 50856, 50967, 51516, 51162, 50451, 57696, 51330, 54124, 54146, 50856, 50897, 55858, 51110, 51578, 50942, 50415, 51216, 51295, 60119, 51051, 50425, 60119, 51008, 51768, 51233, 50856, 51175, 51683, 50892, 52002, 50873, 51888, 50873, 52578, 50901, 51578, 50937, 53924, 54146, 50856, 50897, 50437, 51578, 54014, 51273, 51218, 50856, 51110, 60119, 50827, 51955, 51233, 50856, 50967, 60119, 50941, 52194, 50905, 52698, 50892, 52488, 50838, 52148, 51006, 51578, 50937, 54124, 54146, 50856, 50897, 55858, 51110, 50415, 75113, 50422, 77029, 50933, 51888, 51391, 52310, 51381, 51776, 51419, 51648, 51542, 52461, 51141, 51768, 51233, 50856, 51175, 50434, 51098, 51358, 50804, 54146, 50856, 50897, 77029, 51058, 56797, 51110, 57696, 50959, 53175, 50892, 52384, 50866, 51866, 50838, 52058, 51174, 51516, 77657, 56033, 51174, 50446, 51275, 50987, 50449, 58053, 50905, 51955, 51233, 50856, 50967, 51489, 51110, 54124, 54146, 50856, 74369, 57696, 50933, 51516, 50873, 53458, 51417, 50856, 51110, 50425, 57696, 50933, 53175, 50987, 51866, 50866, 52058, 51006, 52384, 50987, 51516, 51121, 51768, 51233, 50856, 51175, 53924, 54146, 50856, 50897, 50437, 57696, 50933, 51516, 51101, 56797, 51110, 50439, 51273, 51189, 50449, 57696, 51006, 51516, 50937, 51955, 51233, 50856, 50967 ]

[ 0, 250, 19448, 8, 3722, 15855, 5175, 2125, 4246, 10, 13305, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 204, 73, 306, 86, 6543, 4, 2285, 63, 765, 13428, 6, 5, 2214, 10200, 7, 35334, 10, 1472, 9, 11098, 8, 74, 28, 157, 12, 9228, 4560, 13, 304, 11, 10, 822, 4, 20, 20889, 16, 10, 23667, 27841, 3006, 11332, 6, 8, 5, 33215, 16739, 1171, 83, 6, 211, 6, 272, 6, 230, 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 ]

[ 50799, 50649, 52326, 50932, 55386, 56300, 50427, 51465, 52378, 50438, 51249, 58369, 52109, 51534, 50460, 51818, 51679, 60212, 52109, 51480, 50436, 51651, 50915, 50446, 52109, 50932, 50459, 54310, 51226, 51818, 51108, 57731, 52109, 51709, 50435, 51818, 51753, 56461, 51573, 50447, 51457, 51961, 50458, 51719, 51313, 50459, 56461, 51274, 60212, 51249, 51679, 50435, 54310, 51896, 51457, 51330, 50447, 52948, 51108, 50460, 51457, 51753, 60212, 55386, 51157, 50430, 51672, 57070, 50437, 52571, 51318, 54310, 53363, 50450, 51719, 51709, 50461, 51672, 51309, 55746, 51457, 51576, 50436, 52948, 75999, 51457, 56697, 54310, 51121, 50799, 54310, 56300, 50415, 51465, 51419, 50426, 51672, 51645, 50439, 51818, 58959, 51672, 50932, 50799, 51818, 51534, 50424, 51672, 50932, 50437, 51410, 51417, 50447, 51672, 51277, 50459, 51457, 51108, 56461, 51158, 56020, 51672, 51277, 50434, 59969, 51345, 50436, 51249, 62565, 51249, 51079, 50458, 52326, 51115, 59969, 51364, 57731, 51465, 51797, 50433, 51249, 51277, 56461, 51538, 50446, 52109, 51484, 50459, 51818, 51961, 57731, 52109, 51381, 50424, 54310, 51215, 50436, 54310, 54014, 51231, 51803, 56461, 51264, 50450, 52109, 51484, 51601, 51818, 51679, 50426, 52109, 51412, 50439, 51231, 66809, 56461, 51110, 50452, 51410, 51309, 50460, 56461, 51101, 50461, 53655, 51241, 51809, 59969, 51591, 50428, 51410, 51079, 50439, 51410, 55247, 51249, 77197, 59969, 51472, 50799, 51457, 50838, 50424, 51231, 80249, 52690, 67082, 53927, 51945, 50450, 51410, 51642, 50461, 51231, 51481, 60212, 51672, 51423, 50436, 51457, 51309, 50437, 53927, 51103, 50448, 51249, 79076, 51476, 51134, 57494, 51933, 60212, 51231, 51337, 50436, 51327, 51277, 50447, 51818, 70395, 51981, 51277, 50461, 57494, 51285, 60212, 51457, 62551, 53171, 52392, 53075, 50915, 50449, 51476, 67163, 51303, 50974, 59412, 51249, 51481, 50437, 51327, 50905, 53171, 51103, 50449, 51410, 51412, 50799, 54369, 51218, 64746, 51933, 50427, 52571, 51534, 50440, 51465, 51254, 50451, 51651, 51253, 50799, 51672, 51534, 50415, 64746, 51294, 50426, 51818, 51642, 50438, 51465, 51662, 64746, 51460, 50449, 51651, 51074, 50460, 51672, 51333, 51601, 50655, 50339, 51364, 50426, 51818, 51174, 50439, 51249, 51006, 50449, 67686, 51101, 50460, 67686, 51178, 50461, 52326, 51391, 51809, 64746, 54153, 50427, 51465, 51852, 50438, 51249, 51481, 50449, 52109, 51775, 50461, 51818, 51484, 60212, 51672, 51412, 50436, 51249, 51097, 50446, 51672, 51097, 50458, 52109, 51097, 56020, 51818, 51172, 50437, 51249, 51142, 50799, 50655, 50341, 56300, 51249, 50932, 50427, 51818, 52378, 50438, 52287, 58369, 55386, 51775, 50460, 56461, 51679, 60212, 55386, 51480, 50436, 53001, 50915, 50446, 55386, 50932, 50459, 50655, 50342, 51226, 56461, 51108, 57731, 55386, 51709, 50435, 56461, 51753, 50655, 50344, 51573, 50447, 54310, 51961, 50458, 52948, 51313, 50459, 50655, 50344, 51274, 60212, 52287, 51679, 50435, 50655, 50342, 51896, 54310, 51330, 50447, 59969, 51108, 50460, 54310, 51753, 60212, 50655, 50341, 51157, 50430, 53927, 57070, 50437, 51672, 51318, 50655, 50342, 53363, 50450, 52948, 51709, 50461, 53927, 51309, 55746, 54310, 51576, 50436, 59969, 75999, 54310, 56697, 50655, 50342, 51121, 50799, 50655, 50342, 56300, 50415, 51818, 51419, 50426, 53927, 51645, 50439, 56461, 58959, 53927, 50932, 50799, 56461, 51534, 50424, 53927, 50932, 50437, 51457, 51417, 50447, 53927, 51277, 50459, 50655, 50344, 51158, 54310, 51709, 56020, 53927, 51277, 50434, 50655, 50346, 51345, 50436, 52287, 62565, 52287, 51079, 50458, 51249, 51115, 50655, 50346, 51364, 57731, 51818, 51797, 50433, 52287, 51277, 50655, 50344, 51538, 50446, 55386, 51484, 50459, 56461, 51961, 57731, 55386, 51381, 50424, 50655, 50342, 51215, 50436, 50655, 50342, 54014, 51981, 51803, 50655, 50344, 51264, 50450, 55386, 51484, 51601, 56461, 51679, 50426, 55386, 51412, 50439, 51981, 66809, 50655, 50344, 51110, 50452, 51457, 51309, 50460, 50655, 50344, 51101, 50461, 51410, 51241, 51809, 50655, 50346, 51591, 50428, 51457, 51079, 50439, 51457, 55247, 52287, 77197, 50655, 50346, 51472, 50799, 54310, 50838, 50424, 51981, 80249, 51231, 67082, 50655, 50339, 51945, 50450, 51457, 51642, 50461, 51981, 51481, 60212, 53927, 51423, 50436, 54310, 51309, 50437, 50655, 50339, 51103, 50448, 52287, 79076, 51327, 51134, 50655, 50347, 51933, 60212, 51981, 51242, 50436, 53171, 51277, 50447, 56461, 70395, 57494, 51277, 50461, 50655, 50347, 51285, 60212, 54310, 62551, 75693, 52392, 51303, 51134, 50449, 51327, 67163, 51825, 50974, 59412, 52287, 51481, 50437, 53171, 50905, 75693, 51103, 50449, 51457, 51412, 67718, 51218, 50655, 50349, 51933, 50427, 51672, 51534, 50440, 51818, 51254, 50451, 53001, 51253, 50799, 53927, 51534, 50415, 50655, 50349, 51294, 50426, 56461, 51642, 50438, 51818, 51662, 50655, 50349, 51460, 50449, 53001, 51074, 50460, 53927, 51333, 51601, 50655, 50351, 51364, 50426, 56461, 51174, 50439, 52287, 51006, 50449, 50655, 50348, 51101, 50460, 50655, 50348, 51178, 50461, 51249, 51391, 51809, 50655, 50349, 54153, 50427, 51818, 51852, 50438, 52287, 50972, 50449, 55386, 51534, 50461, 56461, 51484, 60212, 53927, 51412, 50436, 52287, 51097, 50458, 56461, 51097, 50796, 50437, 64746, 51142, 50448, 54310, 52256, 50799, 51457, 55844, 64746, 52821, 50425, 52948, 52056, 50438, 52287, 56615, 50449, 52948, 52441, 50799, 52287, 52263, 50425, 52948, 52056, 50436, 52109, 53233, 67686, 51803, 50447, 52948, 51961, 50460, 64746, 51717, 50461, 52287, 51806, 57731, 52948, 51333, 50436, 52287, 53280, 50448, 52948, 51961, 50449, 56461, 51542, 50460, 51672, 53487, 50461, 54310, 51717, 59412, 52948, 65184, 52287, 53697, 50448, 52948, 51330, 50799, 52287, 51466, 50424, 52948, 51679, 50436, 51249, 51293, 50448, 52948, 51806, 50461, 52287, 52996, 57731, 52948, 52441, 50437, 52287, 51376, 50448, 54310, 52256, 50460, 50655, 50339, 52644, 50461, 51818, 55844, 60212, 53001, 51466, 50437, 53927, 52011, 50448, 53001, 52056, 50460, 53927, 51703, 60212, 53001, 51961, 50435, 64746, 51452, 50436, 51457, 54249, 50448, 53001, 52378, 50459, 50655, 50339, 52096, 53927, 51333, 60212, 53001, 51466, 50437, 53927, 51447, 50448, 59969, 67647, 53001, 51466, 50460, 56461, 51717, 52109, 53233, 55746, 53001, 65461, 53927, 52996, 50448, 53001, 51333, 50460, 53927, 51961, 60212, 53001, 51961, 50436, 51672, 52151, 50448, 53001, 52378, 50459, 53927, 52048, 60212, 53001, 51466, 50436, 56461, 52431, 50449, 51818, 50827, 50799, 50655, 50342, 51452, 51410, 69790, 51249, 52188, 50438, 50655, 50341, 51803, 50440, 51457, 51737, 50449, 52948, 52056, 50799, 52287, 59386, 56461, 50932, 50437, 50655, 50341, 51675, 50439, 51465, 52256, 50449, 51672, 51645, 50461, 51818, 51862, 50655, 50339, 51742, 59412, 53001, 51738, 50437, 53927, 66823, 56461, 51645, 50460, 51719, 51108, 50655, 50339, 51452, 57731, 52948, 51484, 50436, 64746, 51148, 50437, 52287, 50838, 50448, 55386, 51051, 50461, 52287, 51051, 59412, 54310, 51852, 50436, 64746, 60610, 51651, 78252, 51818, 51693, 50460, 67686, 51803, 50461, 53001, 51074, 50796, 50436, 53927, 54043, 55386, 51006, 50460, 51249, 51679, 67686, 51127, 55746, 51818, 54071, 50436, 59969, 51318, 50437, 52287, 52179, 50461, 53927, 50932, 55746, 52948, 51470, 50435, 59969, 51452, 50436, 51672, 51243, 50448, 52948, 52188, 50460, 56461 ]

[ 0, 713, 5679, 26709, 5175, 25771, 2214, 11, 274, 538, 1575, 10, 11739, 9, 3459, 8, 21979, 29589, 6, 38668, 22052, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 19448, 8, 15352, 30054, 5466, 4, 590, 10, 23758, 3938, 20889, 9, 11061, 741, 1685, 8, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 8, 230, 6, 7630, 14805, 10, 1472, 9, 36474, 13005, 8, 23975, 1825, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 2369, 36546, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57333, 50416, 52233, 53588, 51821, 51748, 60212, 52956, 66142, 52956, 65312, 52956, 53660, 52021, 51362, 51164, 51191, 50436, 51037, 50878, 76323, 50872, 51235, 64804, 51821, 52136, 52016, 52136, 52072, 52136, 50438, 64724, 52136, 50447, 63818, 50454, 66939, 51037, 58392, 50833, 66243, 52956, 54112, 51037, 51227, 50979, 55278, 51090, 52606, 52528, 51821, 52528, 50436, 51678, 52528, 54064, 52528, 50438, 52956, 64127, 51037, 50878, 50448, 52956, 58639, 51037, 50878, 78134, 52021, 52136, 50454, 52956, 54093, 51037, 51008, 51809, 52956, 50940, 50417, 58617, 50422, 50988, 55054, 51037, 50897, 50979, 53275, 50345, 57544, 51037, 64408, 52956, 55098, 51037, 51124, 50872, 51412, 50848, 50807, 52021, 51714, 51164, 51605, 51821, 52528, 52016, 52528, 52072, 52528, 50447, 51037, 51297, 50454, 50939, 51074, 50460, 50848, 51129, 52177, 61058, 50872, 78443, 55972, 50424, 51037, 52835, 50430, 52956, 55782, 51037, 51066, 50979, 68941, 51054, 52021, 51091, 50988, 51059, 50436, 54064, 51748, 52606, 51748, 51821, 51748, 51678, 51748, 52956, 78668, 52956, 50942, 50448, 51037, 70185, 52956, 62355, 51037, 51142, 50461, 52956, 50795, 52177, 51037, 52167, 75814, 50423, 51037, 50959, 50979, 67895, 52956, 55658, 51037, 58528, 52956, 56529, 50872, 52536, 51164, 51795, 50847, 52536, 50436, 52233, 58728, 55825, 52720, 51821, 58728, 51678, 58728, 50438, 50885, 51352, 51601, 52956, 65290, 52956, 50907, 50428, 52956, 56149, 52956, 51158, 50453, 52956, 51160, 56020, 52956, 50858, 50428, 52956, 54154, 50979, 53478, 50885, 52644, 50435, 50847, 55362, 50939, 52442, 53845, 53413, 51164, 53849, 50436, 55825, 55392, 52233, 55392, 52606, 55392, 51821, 55392, 52072, 55392, 52398, 65672, 51678, 56515, 52591, 52956, 65001, 52956, 54334, 52956, 70988, 52956, 58631, 52956, 68451, 52956, 50858, 55753, 52956, 64784, 51164, 53383, 50988, 55658, 51037, 55544, 52956, 50952, 50436, 51037, 50993, 51164, 72701, 77732, 51054, 52021, 53241, 52072, 52056, 52016, 52056, 51821, 52056, 50447, 51037, 71820, 50979, 51090, 51037, 51362, 50988, 51661, 52606, 52598, 51821, 52598, 51678, 52136, 54064, 52136, 52478, 50872, 51797, 50424, 50979, 51101, 50429, 51037, 64945, 51037, 53280, 51821, 53588, 50436, 52021, 51637, 51164, 51283, 50848, 51477, 50872, 53280, 54064, 53588, 52016, 53588, 55746, 52956, 54221, 52956, 70709, 51037, 51227, 62197, 50872, 51016, 52021, 51761, 51164, 51343, 50436, 52016, 52528, 51821, 52528, 64724, 53588, 52072, 52528, 52956, 61868, 50939, 51933, 51007, 51933, 50447, 51037, 51022, 50453, 51037, 50857, 55315, 57731, 68689, 70331, 62457, 50429, 51037, 66142, 52956, 51365, 50435, 51037, 50991, 50979, 51159, 73360, 52021, 51941, 50988, 51352, 52956, 51210, 50436, 50847, 51933, 51821, 51748, 52606, 53588, 51678, 51748, 54064, 53588, 50442, 52956, 50933, 50443, 51298, 51896, 50447, 51037, 79519, 50847, 60111, 52956, 67238, 51037, 51210, 52177, 50939, 54381, 52956, 51210, 50429, 52956, 66804, 50848, 51054, 50872, 78335, 51059, 52021, 52536, 51164, 53241, 54064, 52256, 52016, 52256, 51821, 52136, 50436, 64724, 58728, 50437, 55825, 51748, 50442, 50848, 51933, 50447, 50939, 51896, 50453, 51037, 51550, 50872, 57588, 51472, 50459, 76527, 50460, 52016, 52256, 52177, 50848, 59274, 51345, 50423, 51037, 66031, 52072, 67393, 52956, 55167, 51037, 51427, 50979, 77732, 51090, 52021, 52369, 50988, 51161, 50436, 52606, 52528, 51821, 52528, 51678, 52528, 54064, 52528, 52956, 58666, 52956, 54043, 51037, 52482, 52956, 51210, 50453, 50939, 51033, 50454, 52956, 50959, 52177, 50979, 56909, 51037, 50813, 52956, 50933, 50424, 54064, 59272, 52956, 74234, 50885, 51573, 50872, 71267, 51745, 76878, 50946, 51573, 51164, 52369, 50850, 54454, 52233, 53588, 55825, 52720, 51821, 52980, 51678, 52980, 51701, 52980, 50442, 51257, 54454, 50454, 62092, 50872, 51753, 70249, 50459, 50909, 52392, 52177, 51821, 52136, 50423, 51678, 52980, 50424, 52956, 55730, 52233, 52980, 50430, 50979, 58734, 52956, 55167, 51821, 52598, 51701, 52598, 50436, 50885, 52256, 50979, 51419, 50847, 51542, 50939, 52256, 51164, 51422, 50437, 52956, 70532, 52956, 61481, 52956, 80026, 51821, 52256, 52233, 51998, 52177, 50939, 51013, 52233, 52034, 50418, 50885, 50830, 50424, 52956, 55658, 50979, 59545, 52956, 62135, 51332, 60077, 50872, 52392, 50457, 50885, 50971, 52591, 50885, 51128, 50425, 52956, 58812, 52956, 59321, 52956, 76183, 51678, 52980, 55825, 51490, 52233, 52980, 51701, 52980, 51821, 52980, 52606, 52980, 58463, 65397, 52956, 54319, 51164, 51446, 52956, 50800, 59560, 52179, 57783, 50937, 77548, 50847, 55541, 58326, 50885, 54071, 50979, 51058, 50427, 52956, 52359, 50885, 51609, 50345, 51724, 51037, 69602, 57513, 77732, 51237, 51164, 51745, 52021, 51761, 50939, 51896, 51007, 51896, 64724, 55392, 51821, 51490, 52072, 51490, 52016, 51490, 50450, 51037, 52462, 50456, 73190, 57884, 52591, 69779, 50424, 50935, 53150, 50979, 50810, 51298, 50952, 51037, 50937, 50988, 50976, 50872, 51481, 52021, 53161, 51821, 52528, 54064, 52528, 52606, 52056, 50432, 50979, 50959, 51007, 51655, 50438, 52021, 51358, 51164, 52282, 51037, 51939, 50848, 52266, 50872, 52392, 50939, 52392, 52016, 51490, 52591, 52956, 53950, 52956, 52359, 52956, 60364, 51037, 51932, 51751, 51072, 50979, 51072, 50872, 51290, 50847, 51735, 51678, 58728, 54064, 58728, 52606, 58728, 51821, 58728, 50444, 50847, 51896, 50450, 51298, 51336, 50456, 69779, 51751, 52347, 50307, 52347, 50299, 51060, 75813, 50939, 51472, 52591, 51037, 55124, 50979, 50863, 51037, 52386, 50345, 54215, 52956, 52781, 50988, 51413, 51751, 52598, 50979, 51486, 50872, 51677, 50939, 51486, 50439, 52956, 52597, 51037, 51345, 50450, 50979, 51336, 50451, 52956, 54199, 50872, 51364, 50457, 52956, 50821, 69341, 52956, 62886, 52956, 51724, 50872, 51362, 50939, 51191, 50848, 51541, 50848, 51933, 50939, 51933, 52021, 51605, 51164, 53241, 51821, 58728, 52072, 58728, 52016, 58728, 50456, 55688, 50872, 51364, 51601, 51037, 63069, 58082, 73274, 50872, 51627, 52956, 53974, 50848, 54211, 52956, 54431, 50939, 51884, 52021, 58483, 52956, 54596, 52956, 52643, 52956, 50858, 59412, 52956, 52749, 52956, 54362, 50946, 51237, 51164, 56073, 52606, 51748, 51821, 51748, 52233, 51748, 51701, 51748, 50439, 50885, 51354, 79275, 50847, 62568, 50885, 55346, 78334, 79274, 53069, 50847, 55777, 52956, 53906, 50847, 51013, 50427, 52956, 53911, 52956, 62884, 52956, 57322, 52956, 58974, 50946, 51472, 50457, 51701, 52256, 52956, 50858, 59560, 71727, 52956, 54372, 52956, 68484, 50848, 51603, 50872, 51237, 50939, 51573, 51164, 51407, 50848, 51896, 52021, 52282, 52072, 53588, 64724, 58728, 52016, 53588, 51821, 53588, 50445, 50848, 51269, 50451, 50872, 51022, 55753, 66939, 50885, 51013, 50433, 50848, 51550, 50992, 50907, 51037, 51933, 50455, 52021, 51381, 50456, 51821, 52256, 52016, 52256, 50457, 52398, 52256, 51716, 52256, 62870, 70589, 52956, 65054, 50848, 54654, 52956, 54154, 52956, 57476, 51037, 51653, 50979, 50993, 50847, 51427, 50872, 51377, 50988, 51541, 51751, 51961, 54064, 58728, 52606, 58728, 51821, 58728, 51678, 58728, 50445, 73190, 51037, 51472, 50451, 67984, 51037, 51051, 68346, 50979, 51294, 50872, 51294, 52591, 52956, 52422, 52956, 52749, 52956, 51045, 50433, 51751, 52598, 50439, 50979, 51238, 50444, 52956, 64681, 50939, 51294, 50450, 50988, 51008 ]

[ 0, 250, 32076, 8, 14899, 3495, 2214, 14, 22750, 1626, 10, 670, 1619, 16464, 6, 4246, 10, 20902, 13305, 33301, 7513, 30, 10, 6755, 12547, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 590, 10, 1769, 20889, 9, 10529, 13410, 228, 2289, 6, 42, 2214, 11, 5, 762, 9, 230, 538, 16, 686, 7, 5258, 110, 11656, 8, 120, 47, 88, 5, 2317, 6711, 4, 20, 1049, 33215, 16739, 9, 230, 6, 1918, 6, 3676, 6, 8, 1918, 3639, 7, 5, 2214, 18, 33928, 8, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 50903, 76660, 51003, 60859, 50932, 51768, 76660, 50932, 51955, 51003, 64680, 51500, 51578, 71051, 51196, 50871, 51356, 51303, 51961, 51249, 51679, 51327, 52256, 51976, 61531, 59249, 51132, 51241, 68072, 51708, 51227, 51578, 77463, 55168, 50427, 53075, 63712, 50432, 57870, 50433, 51303, 51174, 51249, 51283, 51327, 51965, 51132, 52781, 51280, 51932, 51837, 50980, 50956, 51196, 50877, 51336, 55159, 50439, 51132, 51535, 50444, 51303, 51269, 57491, 51280, 51500, 51837, 51227, 51303, 51079, 56862, 52863, 51249, 50978, 57870, 65364, 50980, 51948, 75340, 63656, 51196, 51303, 52034, 51249, 51318, 51327, 51627, 51132, 52256, 55159, 68072, 51706, 50980, 51948, 50980, 56862, 52658, 51303, 50863, 51132, 55503, 70015, 51708, 51112, 51578, 51500, 50916, 68900, 51196, 51132, 51351, 55159, 50439, 51327, 51134, 51303, 51194, 51180, 62077, 51476, 51961, 50450, 52477, 51603, 52381, 51500, 51303, 51806, 56862, 52863, 51249, 50925, 51132, 53345, 51373, 54846, 51327, 50840, 60603, 51500, 51837, 51500, 50871, 51336, 50877, 51336, 51132, 51003, 55159, 50415, 51825, 51592, 51249, 52168, 51327, 51939, 51303, 51447, 68072, 51280, 51500, 51837, 51227, 56862, 52658, 51132, 54036, 56619, 50433, 53075, 56004, 50438, 51144, 51932, 52709, 51500, 50877, 68900, 51196, 51132, 51419, 55159, 63047, 50445, 51303, 75589, 51144, 51227, 52709, 51227, 50903, 55168, 50451, 51249, 51199, 50456, 51132, 54390, 56619, 50457, 51327, 51314, 70781, 51345, 55165, 51112, 50906, 51196, 50902, 51196, 51825, 51749, 51303, 52256, 51132, 50932, 55159, 50415, 51249, 51283, 68072, 51119, 51227, 55165, 50980, 56862, 52658, 51303, 50995, 57870, 50433, 51132, 52742, 51708, 51345, 51578, 51500, 50916, 51196, 50876, 51196, 51132, 51542, 55159, 50439, 51825, 51116, 54141, 54672, 51303, 67647, 51869, 50980, 51516, 51932, 50804, 57465, 51825, 50978, 50453, 51327, 65628, 51132, 53097, 53119, 74717, 51249, 50878, 52198, 50812, 59649, 51685, 51435, 51358, 51476, 51047, 51303, 51047, 51249, 51047, 51132, 51419, 51976, 61531, 64540, 52921, 51027, 53751, 50304, 51054, 56862, 52658, 51132, 53877, 70015, 51476, 50915, 51303, 50915, 51249, 50915, 51132, 51003, 55159, 51180, 53140, 51869, 50980, 51516, 50980, 50997, 52530, 50308, 51090, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 57870, 64680, 50980, 51578, 51603, 50900, 51196, 50871, 51336, 51476, 51423, 51303, 51423, 51249, 51423, 51132, 51419, 51976, 52871, 53075, 50915, 56889, 51280, 51112, 51837, 50980, 51476, 51101, 51303, 51101, 51249, 51101, 56862, 52658, 51132, 53877, 70015, 51198, 50980, 52353, 51932, 50871, 74114, 51196, 51410, 51423, 51303, 51423, 51249, 51423, 51181, 51419, 59159, 53655, 50915, 57491, 51144, 51603, 52709, 50980, 51410, 51101, 51303, 51101, 51249, 51101, 56862, 52863, 51181, 53877, 56619, 65100, 51685, 52778, 51977, 51476, 51742, 51465, 51742, 51249, 51742, 55159, 50415, 51349, 50932, 68072, 50877, 69797, 51090, 56862, 52658, 51349, 55642, 56619, 54585, 51134, 59159, 52326, 51101, 57491, 51280, 50980, 51837, 50980, 50916, 70866, 50896, 51476, 51233, 51465, 51233, 51249, 51233, 56862, 52863, 57870, 50457, 51349, 50855, 64680, 51161, 51578, 51585, 50871, 51469, 50877, 51655, 51410, 51742, 51303, 51742, 51249, 51742, 55159, 50415, 51181, 50932, 56911, 76663, 51181, 55642, 56619, 51556, 53269, 51181, 51134, 59159, 53655, 51101, 57491, 51410, 51233, 51303, 51233, 51249, 51233, 56862, 52863, 57870, 50457, 51181, 50855, 61310, 50980, 52353, 51603, 50871, 51196, 50877, 51196, 53075, 56235, 51825, 51480, 51249, 51199, 51327, 51411, 51132, 51381, 55159, 50415, 51303, 52460, 50420, 51476, 51637, 56889, 51280, 50980, 51837, 51932, 50903, 55168, 50427, 51303, 51381, 50432, 51249, 51412, 51327, 51412, 51132, 53971, 70015, 51708, 50980, 51578, 51112, 50900, 51196, 51132, 51318, 59159, 51476, 51218, 57491, 51876, 51932, 51435, 50980, 51303, 51749, 56862, 52863, 51338, 53095, 56619, 50457, 51327, 52151, 51249, 51627, 51825, 51080, 50459, 51181, 50844, 61310, 50980, 52353, 51346, 50871, 51196, 50877, 51336, 51132, 51419, 51976, 52871, 51476, 51518, 56889, 51280, 51500, 51837, 50980, 51303, 51381, 56862, 52658, 51249, 51310, 51132, 53309, 56619, 51556, 53269, 51708, 51112, 51578, 51932, 50900, 51356, 51825, 50915, 51132, 50915, 59159, 51303, 51709, 57491, 51876, 51346, 51435, 51932, 51249, 51058, 56862, 52863, 51132, 53877, 51373, 54846, 50852, 50810, 69935, 55198, 51489, 52045, 50916, 52017, 52303, 51283, 51465, 51939, 51231, 51939, 51327, 51939, 55159, 50415, 51416, 51241, 56911, 76663, 53248, 55116, 57870, 50433, 51416, 50813, 51658, 55701, 50439, 51416, 51535, 51180, 53140, 52303, 51221, 50903, 55168, 50453, 51465, 52783, 50456, 51231, 51145, 52636, 54846, 51327, 51103, 57126, 65481, 50806, 52303, 51419, 51416, 52256, 51976, 52871, 50861, 52362, 50314, 50911, 51892, 56040, 64935, 50923, 56862, 52658, 50916, 64464, 51274, 52303, 51267, 51416, 55503, 70015, 51465, 50932, 51231, 51253, 51327, 51480, 51416, 51351, 59159, 52506, 55118, 52303, 51423, 50450, 51706, 51345, 51948, 75037, 51054, 51327, 57978, 51582, 56366, 51231, 60077, 51465, 50822, 51416, 53345, 53119, 54984, 54421, 52303, 50822, 64680, 50980, 51578, 51500, 50900, 53177, 50308, 60599, 50824, 51465, 51047, 51231, 51047, 51414, 51047, 51327, 51047, 51416, 51351, 51976, 61531, 64540, 52921, 51869, 50980, 51516, 50980, 50997, 53751, 50308, 67957, 51016, 56862, 52658, 51416, 53530, 70015, 51869, 50980, 51516, 50980, 50997, 53177, 50308, 62667, 50896, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 55159, 51180, 53140, 53483, 51345, 52070, 50980, 51027, 60821, 51958, 50310, 51013, 51687, 50915, 51719, 50915, 51249, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 57870, 65237, 51977, 51516, 52827, 51465, 51047, 51231, 51047, 51414, 51047, 51327, 51047, 51416, 51419, 55159, 68072, 50899, 50795, 56862, 52658, 50871, 50879, 51416, 53877, 70015, 50916, 51090, 51465, 50915, 51231, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 59159, 52636, 53140, 51198, 50936, 52353, 53275, 50308, 51958, 50310, 50807, 51465, 50915, 51651, 50915, 51414, 50915, 51327, 50915, 51416, 51003, 56862, 52863, 51198, 51362, 52353, 51226, 57870, 76362, 54578, 51527, 50877, 51356, 51476, 51423, 51303, 51423, 51249, 51423, 51132, 51351, 51976, 52871, 53075, 50915, 56889, 51280, 51500, 51837, 51112, 51476, 51101, 51303, 51101, 51249, 51101, 56862, 52658, 51132, 53530, 70015, 52040, 51112, 52461, 51227, 50871, 51196, 50965, 51527, 51410, 51535, 51303, 51535, 51651, 51535, 51672, 51535, 51132, 51419, 55159, 51180, 53140, 51198, 51345, 52353, 50980, 56862, 52863, 51651, 50874, 51132, 53877, 51373, 54846, 51672, 50822, 60603, 51551, 51837, 51356, 51476, 51295, 51303, 51295, 51249, 51295, 51132, 51318, 55159, 68072, 50916, 78828, 51237, 56862, 52658, 53075, 51680, 51132, 53959, 70015, 50899, 53177, 50309, 51237, 51303, 51244, 51132, 53933, 51049, 52597, 51249, 51477, 51132, 51194, 57491, 51708, 51603, 51578, 51500, 50900, 64110, 50896, 51327, 51400, 56862, 52863, 51825, 51174, 51132, 53530, 56619, 65237, 50980, 51516, 50980, 51086, 64110, 67957, 51013, 51303, 51535, 51231, 51535, 51672, 51535, 51457, 51535, 51137, 51351, 55159, 68072, 51708, 50980, 51578, 51227 ]

[ 0, 250, 15855, 8, 25771, 2214, 14, 7630, 6568, 41, 9066, 8, 25306, 5466, 150, 67, 145, 19448, 8, 5679, 26709, 4, 85, 1575, 41, 21979, 8669, 6, 3152, 6757, 6, 36075, 8669, 6, 6168, 3540, 6, 8, 31391, 1672, 9590, 6, 70, 8216, 7, 5, 2216, 2369, 18795, 4, 20, 2125, 16, 11, 230, 538, 19, 10, 132, 73, 398, 86, 6543, 8, 10, 182, 1769, 20889, 9, 25728, 13410, 228, 2289, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67004, 50426, 51171, 51305, 50294, 50845, 69958, 55017, 52121, 52949, 52121, 51914, 52121, 51859, 52121, 51181, 76274, 50915, 51335, 51151, 50432, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 51219, 54644, 50872, 55808, 50845, 51344, 53172, 51171, 51305, 50294, 50845, 69958, 51181, 76274, 56901, 57173, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 64671, 51288, 57933, 50872, 55808, 50845, 51344, 54035, 56015, 53172, 51171, 51305, 50294, 50845, 69958, 51622, 53295, 51181, 76274, 59098, 57173, 50872, 55808, 54879, 72120, 72498, 51288, 53264, 50847, 54667, 58338, 58338, 50845, 51211, 50845, 51843, 53999, 50872, 55808, 54879, 72120, 72498, 51288, 53562, 50868, 55077, 54667, 54667, 50845, 64671, 51211, 53586, 79843, 79843, 76064, 76064, 51344, 51115, 51288, 51115, 55746, 50848, 60871, 64986, 64986, 50915, 51075, 50915, 51344, 54975, 51171, 51305, 50294, 50845, 51155, 53999, 65107, 50868, 57885, 69139, 51219, 50915, 51211, 57414, 51171, 51305, 50294, 50845, 69958, 59007, 55077, 50845, 64671, 52341, 57933, 50872, 55808, 50845, 51344, 53172, 51171, 51305, 50294, 50845, 52874, 51717, 50432, 67034, 50946, 60871, 60871, 64986, 64986, 50915, 63639, 72498, 55017, 50892, 52949, 50892, 51914, 50892, 51859, 50892, 51181, 54035, 59098, 64632, 51171, 51305, 50294, 53562, 51332, 50915, 51332, 50915, 69433, 69433, 58285, 58285, 65107, 65107, 67249, 64671, 56170, 50892, 55209, 50892, 53455, 50892, 52301, 50892, 51953, 50892, 51338, 54035, 59098, 51115, 57732, 51305, 50292, 54644, 52021, 50915, 52021, 50915, 51348, 51717, 51075, 51717, 56452, 52121, 54609, 52121, 53503, 52121, 51914, 52121, 51727, 76274, 51115, 50852, 57173, 51164, 77594, 52839, 53264, 51037, 67703, 52839, 53999, 50848, 55257, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 52839, 54644, 51037, 67703, 52839, 53172, 52021, 51305, 50290, 54035, 56901, 53387, 51164, 77594, 52839, 53264, 51037, 67703, 52839, 53999, 50848, 55257, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 52839, 54644, 51037, 67703, 52839, 53172, 52021, 51305, 50290, 72550, 54523, 56901, 53387, 51164, 77594, 67994, 53417, 53264, 51037, 67703, 63253, 53417, 53999, 50848, 55257, 56990, 53417, 53562, 50850, 54879, 63253, 54523, 56901, 53586, 50868, 55077, 56990, 53417, 50845, 57342, 55257, 58338, 53417, 54644, 51037, 67703, 54879, 53417, 53172, 52021, 51305, 50290, 58338, 54523, 56901, 53387, 51164, 77594, 54879, 53417, 53264, 51037, 67703, 54667, 53417, 53999, 50848, 55257, 54879, 53417, 53562, 50847, 56263, 54879, 54035, 56901, 53586, 50868, 55077, 55808, 53417, 50845, 57342, 55257, 55257, 53543, 52839, 54644, 50946, 65088, 67703, 54371, 52839, 53172, 51171, 51305, 50294, 55077, 51364, 55017, 52121, 52949, 52121, 51914, 52121, 51859, 52121, 51181, 76274, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50848, 57122, 55077, 52839, 53562, 50850, 54879, 55257, 51896, 50798, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 56901, 54644, 50946, 59324, 52839, 53172, 51171, 51305, 50294, 54035, 56901, 53387, 50946, 59324, 59324, 53417, 53264, 50848, 55257, 55257, 53543, 56901, 53999, 50868, 55077, 55077, 53417, 53562, 50872, 56263, 54879, 54035, 56901, 53586, 50868, 55077, 54879, 53417, 50845, 57342, 55257, 54667, 53543, 56901, 54644, 50946, 59324, 55808, 53417, 53172, 51171, 51305, 50294, 54667, 51364, 51181, 76274, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50868, 55077, 55808, 53417, 53562, 50850, 54879, 55808, 67777, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 56901, 54644, 50946, 59324, 55077, 53417, 53172, 51171, 51305, 50294, 55077, 51655, 50798, 56901, 53387, 50946, 59324, 52839, 53264, 50848, 55257, 54371, 56901, 53999, 50868, 55077, 52839, 53562, 50850, 54879, 54035, 56901, 53586, 50868, 55077, 62852, 57342, 55257, 54371, 52839, 54644, 50946, 59324, 54371, 51373, 50845, 53327, 52654, 56496, 50918, 50848, 51305, 50294, 51047, 55017, 51145, 52949, 51145, 51914, 51145, 51859, 51145, 51181, 60881, 56901, 53387, 50946, 55808, 52839, 53264, 50848, 54879, 54371, 56901, 53999, 50872, 55808, 52839, 53562, 54650, 77560, 64694, 51047, 55209, 51145, 53455, 51145, 52301, 51145, 51953, 51145, 51374, 60881, 56901, 53586, 50988, 54667, 62852, 59560, 56990, 56951, 56901, 54644, 50847, 52839, 53172, 54019, 50918, 50872, 77594, 51151, 54609, 51293, 52949, 51293, 52301, 51293, 51859, 51293, 51132, 60922, 56901, 53387, 50946, 54879, 52839, 53264, 50885, 56990, 70187, 56901, 53999, 50872, 52839, 53562, 54650, 62641, 54035, 56901, 53586, 76068, 62852, 50799, 56496, 57680, 55808, 54371, 56901, 54644, 50946, 56566, 52839, 53172, 54650, 50918, 50885, 51305, 50292, 51047, 56170, 51293, 53455, 51293, 52301, 51293, 51953, 51293, 51338, 60881, 56901, 53387, 50885, 55077, 52839, 53264, 50868, 56990, 54371, 56901, 53999, 50885, 55077, 52839, 53562, 60856, 50918, 51042, 51305, 50291, 51047, 51857, 60881, 56901, 53586, 50885, 55077, 62852, 59007, 56990, 54371, 56901, 54644, 50885, 55077, 52839, 53172, 62292, 50918, 50946, 51305, 50289, 51151, 57523, 51293, 52949, 51293, 52301, 51293, 51953, 51293, 51844, 71382, 56901, 53387, 50885, 56566, 52839, 53264, 50868, 55077, 54371, 56901, 53999, 50885, 56990, 56901, 53562, 61513, 55541, 54035, 56901, 53586, 50868, 55077, 62852, 50799, 60856, 57680, 56566, 50845, 51338, 56951, 56901, 54644, 50946, 55077, 52839, 53172, 56496, 50918, 51171, 51305, 50294, 51047, 55017, 51293, 52949, 51293, 51914, 51293, 51859, 51293, 51181, 60881, 56901, 53387, 50946, 55808, 52839, 53264, 50848, 63253, 54371, 56901, 53999, 50946, 55808, 52839, 53562, 61513, 50918, 50885, 51305, 50292, 51047, 51338, 60881, 56901, 53586, 50946, 55077, 62852, 57342, 56990, 70187, 56901, 54644, 50946, 52839, 53172, 61513, 50918, 52021, 51151, 56452, 51293, 53503, 51293, 51914, 51293, 51859, 51293, 51727, 71382, 56901, 53387, 51037, 58338, 52839, 53264, 50848, 54879, 51422, 50804, 56901, 53999, 50872, 52839, 53562, 77988, 64700, 54035, 56901, 53586, 50872, 62852, 50799, 61513, 56378, 50845, 51727, 56951, 56901, 54644, 51037, 52839, 53172, 60856, 77560, 51305, 50289, 51151, 57523, 52121, 52949, 52121, 53245, 52121, 51953, 52121, 51844, 60881, 56901, 53387, 50946, 54879, 52839, 53264, 51017, 62258, 54371, 56901, 53999 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 3152, 16882, 6, 4246, 10, 2382, 3459, 8669, 8, 13305, 816, 5, 1049, 12049, 6, 2800, 30, 38668, 22052, 6, 23338, 33518, 1264, 6, 8, 21072, 4, 20, 2125, 34, 10, 19448, 8, 33558, 6711, 6, 3544, 10686, 13, 5, 1619, 191, 4, 85, 18, 11, 163, 538, 6, 34, 10, 7212, 20889, 9, 6560, 741, 1685, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 9, 381, 6, 163, 6, 381, 6, 230, 10431, 119, 406, 6, 8, 274, 10431, 2092, 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 ]

[ 56103, 51540, 51841, 51519, 50296, 66386, 50879, 51374, 54300, 51815, 51056, 54549, 52096, 52091, 52096, 52398, 52096, 56817, 52250, 50655, 50348, 51492, 77412, 52639, 50973, 50795, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 50893, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50893, 51595, 71823, 54109, 50839, 51540, 51147, 50893, 51910, 50893, 51815, 68659, 53704, 56051, 52458, 51631, 50973, 50879, 51910, 51991, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 57599, 51253, 57106, 51145, 50655, 50346, 51127, 50856, 53057, 51114, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 54173, 51145, 50655, 50344, 51127, 74870, 50468, 74870, 50474, 50965, 50795, 51857, 50940, 51595, 71823, 54109, 50839, 51540, 52759, 50806, 51360, 77159, 50795, 51957, 54454, 54322, 51056, 53496, 52096, 55783, 50974, 50655, 50343, 59384, 53704, 56051, 54173, 50845, 50655, 50344, 53466, 51028, 50795, 52159, 51056, 55521, 51717, 67686, 52149, 50856, 52417, 51495, 51452, 50438, 50965, 57599, 51253, 50856, 53057, 51114, 50911, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 57599, 51159, 74870, 50468, 74870, 50474, 50965, 50873, 51957, 50879, 51495, 71823, 54109, 50839, 51540, 51147, 50805, 51602, 52382, 54322, 68659, 53704, 55800, 51028, 50879, 52159, 68659, 52417, 51495, 51452, 50438, 50965, 50849, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 50849, 51089, 51159, 53956, 50915, 64746, 61035, 50834, 50468, 74870, 50474, 50965, 50805, 51602, 50937, 51495, 51006, 55837, 50915, 50655, 50339, 61035, 54109, 50839, 51540, 51966, 50806, 51378, 51936, 50322, 50893, 51640, 54454, 54322, 51056, 52582, 52096, 51701, 53413, 55862, 51103, 50655, 50341, 51336, 50856, 53704, 55800, 51028, 79253, 68659, 52417, 51495, 51452, 60496, 50873, 51268, 51253, 53956, 51183, 64746, 51077, 50856, 53057, 51147, 50893, 51023, 51157, 50856, 53754, 50961, 50462, 51028, 50805, 51268, 51159, 57041, 51003, 59969, 57038, 50834, 50468, 74870, 50474, 50877, 50849, 51640, 51100, 51495, 51006, 56431, 50915, 56461, 61035, 54109, 50839, 51540, 54637, 51442, 50291, 51442, 50322, 50806, 51910, 51655, 54110, 51056, 52606, 53413, 54549, 52096, 58241, 51307, 56822, 51655, 50856, 53704, 55800, 51001, 50849, 52473, 68659, 52417, 51595, 51452, 50438, 50973, 50805, 51341, 51253, 50856, 53057, 51220, 50806, 51208, 51157, 50856, 53754, 50961, 50462, 51001, 50879, 51341, 51159, 55862, 50943, 50655, 50341, 56053, 50834, 50468, 74870, 50474, 50973, 50901, 51910, 50865, 51595, 51006, 55837, 50892, 50655, 50339, 60095, 54109, 50839, 51540, 51841, 51936, 50296, 51936, 50324, 50879, 51374, 54300, 51815, 51056, 52091, 52096, 52398, 52096, 55837, 52250, 50655, 50339, 51492, 50856, 53704, 55800, 50968, 50849, 52159, 68659, 52417, 51595, 51452, 50438, 50973, 57599, 51253, 50856, 53057, 50968, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50805, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50805, 51595, 71823, 54109, 50839, 51540, 50973, 50879, 51910, 50879, 51815, 68659, 53704, 56051, 52458, 51631, 50965, 50795, 51910, 51655, 52159, 68659, 52417, 51595, 51452, 59419, 50805, 51089, 51253, 54173, 51077, 50655, 50344, 51356, 50856, 53057, 50965, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50916, 57599, 51159, 57106, 51103, 50655, 50346, 51336, 74870, 50468, 51456, 50846, 50474, 51086, 50893, 51595, 51006, 51326, 50846, 51540, 51841, 51519, 50296, 66386, 50879, 51374, 54300, 51815, 51056, 56817, 52250, 50655, 50348, 51492, 62273, 52639, 50973, 50795, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 50893, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50893, 51595, 71823, 54109, 50839, 51540, 51147, 50893, 51910, 50893, 51815, 68659, 53704, 56051, 52458, 51631, 50973, 50879, 51910, 51991, 52159, 68659, 52417, 51595, 51452, 50438, 50965, 57599, 51253, 57106, 51127, 50655, 50346, 50918, 50856, 53057, 51114, 50893, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50849, 51089, 51159, 54173, 51218, 50655, 50344, 50983, 74870, 50468, 74870, 50474, 50965, 50795, 51857, 50940, 51595, 71823, 54109, 50839, 51540, 52759, 50806, 51360, 77159, 50795, 51957, 54454, 54322, 51056, 53496, 52096, 55783, 50892, 50655, 50343, 60095, 53704, 56051, 54173, 50873, 50655, 50344, 51631, 51028, 50795, 52159, 51056, 55521, 52096, 67686, 52122, 50856, 52417, 51495, 51452, 50438, 50965, 57599, 51253, 50856, 53057, 51114, 50911, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 57599, 51159, 74870, 50468, 74870, 50474, 50965, 50873, 51957, 50879, 51495, 71823, 54109, 50839, 51540, 51147, 50805, 51602, 52382, 54322, 68659, 53704, 55800, 51028, 50879, 52159, 68659, 52417, 51495, 51452, 50438, 50965, 50849, 51089, 51253, 50856, 53057, 51114, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 51028, 50849, 51089, 51159, 53956, 50995, 64746, 69238, 50834, 50468, 74870, 50474, 50965, 50805, 51602, 50937, 51495, 51006, 55837, 50915, 50655, 50339, 61035, 54109, 50839, 51540, 51966, 50806, 51378, 51936, 50322, 50893, 51640, 54454, 54322, 51056, 52582, 52096, 51701, 53413, 55862, 51127, 50655, 50341, 50918, 50856, 53704, 55800, 51028, 79253, 68659, 52417, 51495, 51452, 60496, 50873, 51268, 51253, 53956, 51145, 64746, 51127, 50856, 53057, 51147, 50893, 51023, 51157, 50856, 53754, 50961, 50462, 51028, 50805, 51268, 51159, 57041, 51003, 59969, 57038, 50834, 50468, 74870, 50474, 50877, 50849, 51640, 51100, 51495, 51006, 56431, 50915, 56461, 61035, 54109, 50839, 51540, 54637, 51442, 50291, 51442, 50322, 50806, 51910, 51655, 54110, 51056, 54549, 52096, 52606, 53413, 58241, 51359, 56822, 51036, 50856, 53704, 55800, 51001, 50849, 52473, 68659, 52417, 51595, 51452, 50438, 50973, 50805, 51341, 51253, 50856, 53057, 51220, 50806, 51208, 51157, 50856, 53754, 50961, 50462, 51001, 50879, 51341, 51159, 56431, 51097, 56461, 69238, 50834, 50468, 74870, 50474, 50973, 50901, 51910, 50865, 51595, 51006, 57041, 51003, 59969, 57038, 54109, 50839, 51540, 51841, 51936, 50296, 51936, 50324, 50879, 51374, 54300, 51815, 51056, 52091, 53413, 52398, 53413, 56431, 53651, 56461, 53363, 50856, 53704, 55800, 50968, 50849, 52159, 68659, 52417, 51595, 51452, 50438, 50973, 57599, 51253, 50856, 53057, 50968, 50806, 51281, 51157, 50856, 53754, 50961, 50462, 50973, 50805, 51089, 51159, 74870, 50468, 74870, 50474, 50965, 50805, 51595, 51006, 61155, 50915, 55386, 61035, 54109, 50839, 51540, 51324, 79541, 60452, 50879, 51910, 50879, 54110, 51056, 52582, 53413, 52606, 53413, 65661, 52821, 53927, 52045, 50856, 53704, 56051, 52458, 51631, 50989, 50795, 51910, 51655, 52473, 68659, 52417, 51595, 51452, 64574, 50805, 51268, 51253, 50856, 53057, 50989, 50893, 51208, 51157, 50856, 53754, 50961, 50462, 50956, 63483, 51159, 74870, 50468, 74870, 50474, 51086, 50893, 51595, 71823, 54109, 50839, 51540, 51841, 53073, 50973, 50914, 52398, 60130, 52295, 60130, 52252, 60130, 77412, 52639, 50965, 53470, 50916, 50892, 51971, 56391, 51971, 51798, 51315, 51801, 50973, 50873, 51971, 51343, 50462, 50965, 50845, 50474, 50916, 51166, 51971 ]

[ 0, 250, 15352, 30054, 5175, 25771, 2214, 19, 10, 980, 219, 8, 3366, 219, 5466, 6, 4246, 10, 20535, 2810, 6, 38668, 22052, 6, 18558, 6, 38668, 9590, 6, 8, 3459, 13305, 6, 278, 11, 10, 7212, 204, 73, 306, 20889, 8, 5, 762, 9, 274, 10431, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 8, 230, 10431, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50796, 50799, 50776, 50354, 53501, 50796, 50799, 50776, 50354, 53501, 50799, 56716, 52266, 54308, 51353, 52623, 51353, 52089, 52122, 75386, 51243, 56470, 51243, 52582, 52122, 52252, 51353, 53034, 51353, 50450, 57183, 56210, 56376, 50911, 50799, 57183, 51551, 54099, 51353, 53444, 51353, 50740, 50286, 51243, 67314, 51243, 52072, 51353, 52736, 51353, 50776, 50354, 53501, 50438, 62365, 51551, 50799, 56716, 52266, 54308, 51353, 52623, 51353, 75386, 51243, 56470, 51243, 52252, 51353, 53034, 51353, 50450, 57183, 56210, 56376, 50911, 50799, 57183, 51551, 54099, 51353, 53444, 51353, 50740, 50286, 51243, 67314, 51243, 52072, 51353, 52736, 51353, 50776, 50354, 53501, 50438, 56302, 51551, 50799, 56276, 52282, 52041, 51353, 51986, 51353, 54308, 52122, 64638, 51243, 53278, 51243, 52398, 51353, 52252, 51353, 52295, 51353, 55697, 51243, 50444, 59394, 56160, 62365, 56210, 56276, 50911, 50799, 62365, 51551, 52623, 51353, 52089, 51353, 75386, 51243, 56470, 51243, 52582, 52122, 52252, 51353, 53034, 51353, 61570, 51243, 50438, 56716, 51551, 50799, 57183, 52266, 54099, 52122, 53444, 52122, 52089, 52122, 50740, 50286, 51801, 67314, 51801, 52072, 52122, 52736, 52122, 61570, 51801, 50832, 52231, 51921, 52231, 55997, 52611, 52111, 52611, 50426, 50832, 52611, 51999, 52445, 50432, 50832, 51693, 52224, 52445, 50438, 50832, 51693, 52260, 76027, 50832, 51258, 52283, 58547, 56716, 51090, 50832, 51258, 52145, 58210, 59336, 52215, 51129, 50799, 57183, 52017, 71087, 73150, 50832, 50908, 52111, 53356, 59336, 51999, 54354, 68097, 52224, 54114, 50816, 62264, 50908, 50440, 60707, 53525, 54697, 65454, 50816, 54485, 50816, 52497, 56453, 50816, 55721, 50816, 52144, 57855, 72358, 51899, 69618, 59986, 50835, 54706, 51909, 61634, 50816, 52579, 50816, 51872, 50829, 56032, 50841, 53206, 52100, 57243, 50816, 50846, 71999, 50882, 54076, 50882, 56716, 52266, 54308, 51353, 52623, 51353, 52089, 52122, 52582, 52122, 52252, 51353, 53034, 51353, 52924, 51792, 50368, 51865, 64264, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 54451, 51130, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 50882, 57183, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 50930, 56376, 56655, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 51551, 54099, 51353, 53444, 51353, 52072, 51353, 52736, 51353, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 50930, 62365, 51551, 52924, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 59057, 51792, 54991, 60807, 50930, 53311, 52633, 51792, 50908, 71999, 50882, 54076, 50882, 56716, 52266, 54308, 51353, 52623, 51353, 52252, 51353, 53034, 51353, 52924, 51792, 50908, 51402, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 54451, 51130, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 50882, 57183, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 50930, 56376, 56655, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 51551, 54099, 51353, 53444, 51353, 52072, 51353, 52736, 51353, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 50930, 56302, 51551, 52924, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 56409, 53934, 51792, 54991, 60807, 50930, 53311, 56409, 51239, 51792, 50908, 69036, 50882, 54813, 50882, 56276, 52282, 52041, 51353, 51986, 51353, 54308, 52122, 52398, 51353, 52252, 51353, 52295, 51353, 55697, 51243, 52924, 51792, 50908, 51402, 51792, 54213, 52645, 50882, 54813, 54984, 70406, 51510, 51792, 52976, 52645, 50882, 54813, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 52645, 50930, 54813, 59057, 51792, 54606, 52645, 50930, 54813, 52633, 51792, 52958, 52645, 50930, 54813, 54451, 51130, 51792, 61577, 52645, 50882, 54813, 51594, 51792, 53858, 59394, 50911, 51525, 56502, 51792, 54847, 52645, 50930, 54813, 50386, 55913, 52465, 51792, 53166, 52645, 50882, 54813, 50882, 62365, 50911, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 52645, 50930, 54813, 50930, 56276, 56655, 51792, 54991, 52645, 50930, 54813, 52633, 51792, 50908, 71999, 50882, 54076, 50882, 62365, 51551, 52623, 51353, 52089, 51353, 52582, 52122, 52252, 51353, 53034, 51353, 61570, 51243, 52924, 51792, 50908, 50776, 50354, 53501, 51402, 51792, 54213, 54471, 50882, 54076, 54984, 70406, 51510, 51792, 52976, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 54471, 50930, 54076, 59057, 51792, 54606, 54471, 50930, 54076, 52633, 51792, 52958, 54471, 50930, 54076, 50930, 56716, 51551, 52924, 51792, 61577, 54471, 50882, 54076, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 54471, 50930, 54076, 50386, 55913, 52465, 51792, 53166, 54471, 50882, 54076, 53235, 57875, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 54471, 50930, 54076, 59057, 51792, 54991, 54471, 50930, 54076, 52633, 51792, 50908, 52308, 50274, 50882, 53311, 50882, 57183, 52266, 54099, 52122, 53444, 52122, 52089, 52122, 52072, 52122, 52736, 52122, 61570, 51801, 52924, 51792, 50908, 51402, 51792, 54213, 60807, 50882, 53311, 54984, 70406, 51510, 51792, 52976, 60807, 50882, 53311, 53235, 57875, 53500, 51239, 51792, 50908, 51532, 51792, 53814, 60807, 50930, 53311, 59057, 51792, 54606, 60807, 50930, 53311, 52633, 51792, 52958, 60807, 50930, 53311, 54451, 51130, 51792, 61577, 60807, 50882, 53311, 51594, 51792, 53858, 51525, 56502, 51792, 54847, 60807, 50930, 53311, 50386, 55913, 52465, 51792, 53166, 60807, 50882, 53311, 50882, 56716, 51090, 77156, 53500, 51239, 51792, 50908, 51647, 51792, 54038, 60807, 50930, 53311, 59057, 51792, 54991, 60807, 50930, 53311, 52633, 51792, 50908, 52308, 50274, 50882, 53311 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 13305, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 21979, 9590, 6, 2020, 3548, 6, 8, 21979, 8669, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2125, 3136, 23, 10, 182, 1769, 20889, 9, 25669, 13410, 228, 2289, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 406, 6, 274, 406, 6, 8, 163, 428, 401, 6, 8216, 7, 5, 2214, 18, 32076, 8, 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 ]

[ 71691, 51560, 51145, 73918, 51197, 51047, 53167, 50981, 51707, 50914, 51302, 61349, 50997, 50942, 50956, 50942, 64871, 51207, 50984, 71108, 53167, 50897, 51707, 56057, 51261, 51391, 73918, 51234, 51047, 53167, 51333, 51707, 50932, 51382, 61349, 78679, 70697, 58882, 51207, 51210, 77680, 53167, 50987, 51707, 73246, 51261, 50959, 53202, 51148, 73918, 51050, 51148, 50956, 51148, 71698, 78872, 50876, 51148, 51997, 50808, 53167, 51123, 50418, 51997, 50844, 53167, 53010, 50422, 51997, 69860, 61349, 51131, 50984, 71108, 53167, 51014, 51997, 78137, 53167, 56149, 51997, 54773, 51261, 51127, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 53167, 51387, 50439, 51997, 62604, 53167, 56888, 51997, 50833, 51382, 61349, 51846, 50984, 62326, 50451, 51997, 50938, 53167, 51174, 50458, 51997, 56569, 53167, 50844, 55970, 51145, 73918, 51197, 51148, 50956, 51148, 70330, 80242, 51707, 51380, 53457, 51312, 51302, 61349, 51207, 50984, 71108, 53457, 50895, 51707, 58322, 51707, 52462, 50435, 53457, 52462, 62145, 51148, 73918, 51279, 51047, 53154, 50844, 52344, 51269, 50442, 53154, 50827, 52344, 54861, 50446, 53154, 50851, 51382, 61349, 50956, 50942, 69874, 64940, 70178, 52028, 50984, 73248, 52344, 50910, 53154, 62990, 52344, 58247, 53154, 50854, 53202, 51183, 73918, 51050, 51047, 51997, 51380, 53457, 51312, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 51131, 50984, 71108, 53457, 50895, 51997, 58322, 51997, 52462, 50435, 53457, 52462, 68958, 51148, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 52814, 50981, 52146, 50914, 53526, 50907, 51382, 51589, 50907, 52239, 51101, 62212, 52814, 50897, 52146, 64175, 52681, 50813, 55970, 51145, 73918, 51197, 51047, 53282, 51603, 53139, 51162, 53167, 51330, 51707, 51097, 51302, 61349, 50997, 50942, 50956, 50942, 64871, 53282, 51603, 53139, 51162, 51207, 50984, 71108, 53167, 51008, 51707, 59983, 51261, 51391, 73918, 51234, 51047, 52269, 51021, 53282, 50917, 53167, 52025, 51707, 77074, 53282, 51603, 53139, 51162, 51382, 61349, 78679, 70697, 58882, 51207, 51210, 77680, 53167, 51174, 51707, 61703, 52269, 51021, 53282, 73246, 51261, 50959, 53788, 51148, 73918, 51085, 51047, 53282, 51112, 53139, 51411, 52181, 52056, 52391, 51806, 51302, 61349, 74656, 64871, 69429, 70178, 53282, 51112, 53139, 51411, 51246, 50984, 68864, 52391, 50820, 52181, 59992, 52181, 52794, 50435, 52391, 56373, 50438, 52078, 51145, 73918, 51214, 51047, 52269, 50865, 53559, 50987, 52181, 52378, 52391, 51484, 50444, 53282, 51112, 53139, 51411, 51382, 61349, 61412, 58882, 63156, 59725, 51246, 51210, 59664, 52181, 50867, 52391, 53268, 52269, 50865, 53559, 77381, 52181, 55084, 52391, 58576, 53202, 51790, 73918, 51050, 51047, 52889, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 53139, 51025, 55402, 51576, 51131, 51376, 51136, 50977, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 56373, 57385, 51391, 73918, 51085, 51047, 53139, 51025, 55402, 51576, 51997, 52378, 53457, 51484, 51382, 61349, 70697, 72461, 59725, 52449, 50866, 52889, 51174, 51131, 52731, 79196, 51997, 50867, 53457, 53268, 52449, 51714, 52889, 52335, 50458, 51997, 55084, 53457, 58576, 50459, 51150, 51328, 60200, 51183, 73918, 51050, 51145, 51997, 53957, 53457, 51484, 51302, 61349, 50956, 50897, 50871, 65840, 50897, 66634, 51131, 51166, 51136, 50838, 51997, 50886, 53457, 59062, 51997, 51252, 53457, 51998, 57385, 51047, 73918, 51085, 51397, 51131, 51432, 51136, 51242, 51997, 54836, 53457, 51775, 53526, 50907, 51382, 51589, 50907, 50956, 50942, 68452, 64940, 70178, 70009, 51136, 50901, 51997, 50867, 53457, 62616, 51997, 58576, 50459, 53457, 54146, 54204, 51148, 73918, 51234, 51047, 52269, 51025, 52889, 51576, 52162, 52056, 52814, 51806, 51302, 61349, 68452, 76600, 69429, 71363, 52269, 51025, 52889, 51576, 51846, 50984, 62326, 52814, 50820, 52162, 59992, 52162, 52794, 50435, 52814, 56373, 50438, 51793, 51145, 73918, 51247, 51047, 52269, 51134, 52889, 51679, 52162, 52378, 52814, 51484, 51382, 61349, 57956, 74803, 63156, 64144, 51846, 51210, 70748, 52162, 50867, 52814, 53268, 52681, 50866, 52449, 51174, 50458, 52162, 55084, 52814, 58576, 53202, 51148, 73918, 51050, 51148, 50956, 51148, 71698, 78872, 50876, 51148, 53139, 51025, 55402, 51576, 53167, 51330, 51997, 51097, 51302, 61349, 53139, 51025, 55402, 51576, 51131, 50984, 71108, 53167, 51008, 51997, 59983, 51261, 51127, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 53139, 50866, 55951, 51174, 52814, 51330, 52146, 61112, 52889, 51134, 55439, 51679, 51382, 61349, 51846, 50984, 62326, 52814, 51008, 52146, 51008, 55970, 51145, 73918, 51197, 51148, 50956, 51148, 70330, 80242, 52889, 51025, 55951, 51576, 51707, 52056, 53457, 51806, 51302, 61349, 53282, 51025, 53139, 51576, 51207, 50984, 71108, 53457, 50820, 51707, 59992, 51707, 52794, 50435, 53457, 52794, 62145, 51148, 73918, 51279, 51047, 52449, 50866, 54106, 51174, 53154, 50912, 52344, 51550, 50442, 53154, 50984, 52344, 58961, 50444, 52449, 51025, 54106, 51576, 50446, 53154, 51123, 51382, 61349, 50956, 50942, 69874, 64940, 70178, 52028, 50984, 73248, 52344, 50959, 53154, 61898, 52269, 50866, 53282, 51174, 50458, 52344, 72037, 53154, 50827, 53202, 51183, 73918, 51050, 51047, 53282, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 52449, 51025, 52889, 51576, 51131, 50984, 71108, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 52794, 68958, 51148, 73918, 51234, 51148, 71698, 50965, 51148, 80242, 50902, 51148, 52269, 50866, 53282, 51174, 52814, 51330, 52146, 61112, 52681, 51134, 52449, 51679, 53526, 50907, 51382, 51589, 50907, 62212, 52814, 51008, 52146, 51008, 55970, 51145, 61237, 51589, 50367, 52054, 50907, 51197, 51047, 53282, 51025, 53139, 51576, 53167, 51330, 51707, 51097, 51302, 61349, 50956, 50942, 64871, 69429, 53282, 51025, 53139, 51576, 51207, 50984, 71108, 53167, 51008, 51707, 59983, 51261, 51391, 73918, 51234, 51047, 52269, 50866, 53282, 51174, 53167, 52025, 51707, 77074, 53282, 51025, 53139, 51576, 51382, 61349, 70697, 58882, 63156, 51207, 51210, 77680, 53167, 51174, 51707, 61703, 52269, 50866, 53282, 51174, 50458, 51261, 50959, 53788, 51134, 73918, 51085, 51047, 53282, 51025, 53139, 51576, 52181, 52056, 52391, 51806, 50426, 51261, 56744, 61349, 74656, 64871, 69429, 70178, 53282, 51025, 53139, 51576, 51246, 50984, 68864, 52391, 50820, 52181, 59992, 52181, 52794, 50435, 52391, 56373, 50438, 51522, 50995, 73918, 51214, 51047, 52269, 50866, 53559, 51174, 52181, 52378, 52391, 51484, 50444, 53282, 51025, 53139, 51576, 53526, 55814, 51098, 67675, 53156, 50907, 61412, 58882, 63156, 59725, 51246, 51210, 59664, 52181, 50867, 52391, 53268, 52269, 50866, 53559, 51174, 50458, 52181, 55084, 52391, 58576, 53202, 51148, 73918, 51050, 51047, 52889, 51025, 53652, 51576, 51997, 52056, 53457, 51806, 51302, 61349, 50956, 50942, 68452, 64940, 70178, 53139, 51025, 55402, 51576, 51131, 51166, 51136, 50892, 53457, 50820, 51997, 59992, 51997, 52794, 50435, 53457, 56373, 57385, 51145, 73918, 51085, 51047, 53139, 51025, 55402, 51576, 51997, 52378, 53457, 51484, 51382, 61349, 70697, 72461, 59725, 52449, 50866, 52889, 51174, 51131, 51074, 51136, 50905, 51997, 50867 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 278, 11, 10, 132, 73, 306, 86, 6543, 23, 10, 7212, 20889, 4, 20, 13305, 8, 2236, 1021, 2678, 29, 1045, 41, 3722, 8, 19448, 5466, 6, 7630, 14805, 6453, 9, 657, 4, 20, 2214, 6, 11, 5, 762, 9, 274, 10431, 3694, 6, 1575, 10, 33215, 16739, 9, 230, 10431, 406, 6, 274, 10431, 119, 6, 83, 6, 163, 119, 6, 8, 381, 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 ]

[ 74734, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 62521, 50989, 51048, 51220, 51048, 51057, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 55834, 50989, 51048, 76986, 51048, 51027, 51048, 51086, 51048, 50989, 51048, 51081, 52115, 51220, 51631, 51315, 51048, 51026, 51048, 51086, 51048, 50916, 51048, 50999, 56171, 51220, 60568, 50999, 54372, 50951, 50795, 51057, 51378, 51048, 50997, 51048, 50916, 51048, 50931, 52115, 51114, 51631, 51026, 51048, 51086, 51048, 50916, 51048, 50968, 56171, 51114, 60568, 50968, 54372, 50902, 50795, 51057, 51315, 51048, 51086, 67565, 51048, 51028, 54925, 50902, 61131, 51028, 55587, 50973, 51631, 51378, 51048, 50997, 51048, 50916, 51048, 51028, 51736, 51114, 50795, 51057, 51324, 79746, 51048, 50973, 51048, 50415, 50627, 50416, 50627, 50417, 50627, 50418, 50627, 50419, 50627, 50420, 50627, 50421, 50627, 50422, 50626, 50423, 50626, 50424, 50626, 50425, 50626, 50426, 50626, 72995, 50989, 71884, 51048, 50427, 50626, 50428, 50626, 50429, 50626, 50430, 50626, 51086, 72068, 50626, 50432, 50625, 50433, 50625, 50434, 50625, 51378, 57907, 50625, 50436, 50625, 50437, 50625, 51057, 50625, 51324, 79746, 51048, 50973, 51048, 50415, 50625, 50416, 50625, 50417, 50625, 50418, 50624, 50419, 50624, 50420, 50624, 50421, 50624, 50422, 50624, 50423, 50624, 50424, 50624, 50425, 50624, 50426, 50624, 72995, 50989, 71884, 51048, 50427, 50624, 50428, 50623, 50429, 50623, 50430, 50623, 51086, 72068, 50623, 50432, 50623, 50433, 50623, 50434, 50623, 51378, 57907, 50623, 50436, 50623, 51057, 51324, 65842, 73757, 50918, 79296, 50899, 68691, 71884, 51048, 51114, 51048, 53773, 51048, 56947, 67565, 51048, 50973, 51048, 50968, 51048, 52908, 51048, 75040, 61336, 63831, 50918, 51028, 50918, 52642, 52115, 52525, 51631, 52655, 51736, 51855, 50795, 69953, 74882, 63831, 68900, 50918, 53773, 56202, 53773, 52296, 52642, 51620, 52086, 51048, 51057, 51086, 51048, 50989, 51048, 50973, 71884, 51048, 52086, 62521, 51315, 67565, 51048, 51028, 51048, 52642, 51048, 51057, 51378, 71651, 74882, 68488, 50918, 51028, 50918, 52655, 52115, 52753, 51631, 52077, 51736, 52708, 50795, 51057, 51324, 79746, 74882, 73757, 50918, 52086, 62521, 51086, 51048, 52525, 51048, 51057, 51315, 51352, 61104, 54828, 56190, 50795, 52655, 51736, 52655, 50795, 51057, 51040, 67565, 51048, 50973, 51048, 52655, 52115, 52655, 51631, 51120, 75465, 67565, 51048, 50973, 51048, 52525, 51736, 51315, 50795, 52655, 50795, 51057, 51378, 65842, 51048, 50989, 51048, 50973, 51048, 52642, 51048, 53337, 51048, 50989, 51048, 50973, 51048, 52086, 51048, 65679, 51352, 61104, 51048, 50916, 51048, 50973, 51048, 52655, 51736, 52655, 50795, 51057, 51040, 51048, 50916, 51048, 50973, 51048, 52655, 52115, 52655, 51631, 51378, 64404, 51048, 50916, 51048, 50973, 51048, 52525, 51736, 51026, 50795, 52655, 50795, 74519, 51048, 51040, 71883, 51048, 50973, 51048, 52642, 62521, 51360, 51048, 51040, 71883, 51048, 50973, 51048, 52086, 51736, 52655, 50795, 51057, 51378, 50918, 51040, 71651, 74882, 73757, 51048, 52655, 50983, 50415, 50622, 50416, 50622, 50417, 50622, 50418, 50622, 50419, 50622, 50420, 50622, 50421, 50621, 50422, 50621, 50423, 50621, 50424, 50621, 50425, 50621, 50426, 50621, 50906, 51048, 50427, 50621, 50428, 50621, 50429, 50621, 50430, 50621, 50431, 50621, 50432, 50621, 52525, 60121, 50621, 50434, 50621, 50435, 50621, 51057, 51324, 79746, 51048, 50989, 51048, 50973, 51048, 52525, 62521, 50622, 51114, 51736, 50968, 50795, 51057, 60537, 50418, 51114, 56908, 51028, 53244, 50973, 59161, 51114, 56080, 60537, 64690, 68691, 71884, 51048, 51114, 51048, 53773, 51048, 56947, 67565, 51048, 50973, 51048, 50968, 51048, 52908, 51048, 75040, 61336, 63831, 50918, 51028, 50918, 52642, 52115, 52525, 51631, 52655, 51736, 51855, 50795, 69953, 74882, 63831, 68900, 50918, 53773, 56202, 53773, 52296, 52642, 51620, 52086, 51048, 51057, 51086, 51048, 50989, 51048, 50973, 71884, 51048, 52086, 62521, 51315, 67565, 51048, 51028, 51048, 52642, 51048, 51057, 51378, 71651, 74882, 68488, 50918, 51028, 50918, 52655, 52115, 52753, 51631, 52077, 51736, 52708, 50795, 51057, 51324, 79746, 74882, 73757, 50918, 52086, 62521, 51086, 51048, 52525, 51048, 67870, 50918, 51040, 51048, 50965, 51048, 50973, 51048, 52655, 59492, 51040, 51048, 50965, 51048, 50973, 68175, 52655, 50795, 51057, 51315, 50918, 51040, 67565, 72999, 51048, 52655, 52115, 52655, 51631, 51040, 67565, 68691, 51048, 52086, 51736, 52642, 50795, 69953, 65842, 51048, 50989, 68691, 51048, 53773, 62521, 50989, 68691, 71884, 51048, 53773, 51048, 51057, 51315, 61336, 71068, 53773, 52115, 50916, 50795, 52642, 51631, 50861, 71068, 52908, 51736, 50916, 50795, 51882, 50795, 51057, 51378, 74882, 56190, 50795, 52525, 51048, 61683, 51631, 51966, 51048, 50989, 56730, 50795, 52655, 68175, 51040, 50795, 51057, 51247, 50918, 51050, 72025, 56190, 57981, 50795, 55272, 51048, 61683, 51631, 50965, 56190, 57981, 50795, 52655, 68175, 51040, 50795, 51057, 51247, 50918, 51050, 72025, 56190, 57981, 50795, 52655, 60055, 51040, 51631, 50965, 56190, 57981, 51736, 51040, 50795, 52655, 50795, 51057, 51841, 51048, 51315, 67565, 56730, 57981, 50795, 52655, 52115, 51040, 50795, 52655, 51631, 51279, 67565, 56730, 57981, 50795, 52086, 51736, 51040, 50795, 52642, 50795, 51057, 51799, 50918, 51120, 74882, 56036, 55673, 50795, 53773, 51048, 54569, 51631, 50989, 56036, 55673, 50795, 53773, 51048, 58296, 50795, 51057, 51841, 50918, 51315, 61336, 57981, 50795, 53773, 52115, 50916, 50795, 52642, 51631, 50861, 57981, 50795, 52086, 51736, 50916, 50795, 52655, 50795, 51057, 51966, 50918, 51378, 74882, 56190, 55673, 50795, 52525, 51048, 54569, 51631, 50989, 56190, 55673, 50795, 52086, 51048, 58296, 50795, 51057, 51966, 50918, 51378, 74882, 56730, 50795, 52655, 51048, 56440, 51631, 50989, 56730, 50795, 53773, 51048, 64185, 50795, 51057, 51324, 51161, 50899, 51161, 50989, 51161, 50973, 51161, 52525, 50918, 51038, 50426, 50631, 74734, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 62521, 50989, 51048, 51220, 51048, 51057, 51324, 51048, 50951, 59492, 51086, 62715, 51114, 50795, 78246, 72999, 50918, 50968, 52115, 51114, 51631, 50916, 51048, 50951, 51736, 51399, 50795, 64690, 51048, 50973, 50918, 51220, 55834, 50989, 51048, 76986, 51048, 51027, 51048, 51086, 51048, 50989, 51048, 51081, 52115, 51220, 51631, 51315, 51048, 51026, 51048, 51086, 51048, 50916, 51048, 50999, 56171, 51220, 60568, 50999, 54372, 50951, 50795, 51057, 51378, 51048, 50997, 51048, 50916, 51048, 50931, 52115, 51114, 51631, 51026, 51048, 51086, 51048, 50916, 51048, 50968, 56171, 51114, 60568, 50968, 54372, 50902, 50795, 51057, 51315, 51048, 51086, 67565, 51048, 51028, 54925, 50902, 61131, 51028, 55587, 50973, 51631, 51378, 51048, 50997, 51048, 50916, 51048, 51028, 51736, 51114, 50795, 51057, 51324, 79746, 51048, 50973, 51048, 50415, 50627, 50416, 50627, 50417, 50627 ]

[ 0, 713, 765, 5175, 2214, 11, 274, 10431, 538, 1575, 10, 38668, 483, 816, 5, 33301, 6, 7513, 30, 38668, 22052, 6, 31391, 1672, 9590, 6, 8, 21072, 4, 85, 34, 10, 1372, 8, 15352, 30054, 16464, 6, 20455, 9, 569, 177, 50, 822, 930, 6, 8, 3136, 23, 41, 178, 5285, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 52466, 51066, 50913, 50800, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 63783, 51184, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 60061, 51407, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 63783, 51184, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51407, 51068, 51184, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 58583, 52442, 50913, 50809, 53214, 52628, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 52737, 50798, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51184, 51068, 52737, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 52737, 50798, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 52737, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 56426, 69795, 51732, 50913, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 51670, 69795, 51732, 50913, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 57621, 51732, 51068, 51732, 50913, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 52259, 69795, 51732, 50913, 53401, 50913, 52555, 50737, 50298, 57621, 51732, 51068, 51732, 50913, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 53607, 53467, 50737, 50312, 53123, 52329, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53649, 52359, 50737, 50298, 50809, 50737, 50313, 53123, 50809, 53198, 52444, 50737, 50298, 50809, 50737, 50313, 53123, 54790, 50737, 50312, 53123, 52510, 50737, 50298, 50809, 50737, 50310, 53123, 53401, 50913, 52555, 50737, 50298, 53123, 54139, 50913, 52485, 50737, 50298, 50809, 56885, 52085, 50809, 53341, 50809, 50799, 50737, 50298, 50809, 50737, 50310, 50809, 56258, 50811, 56490, 75991, 50809, 53214, 51835, 50737, 50298, 50809, 50737 ]

[ 0, 713, 14899, 3495, 2214, 6, 30291, 19, 15855, 4785, 6, 22750, 1626, 11098, 8, 8593, 26358, 6, 442, 24, 1969, 13, 2365, 50, 1619, 9629, 4, 20, 20902, 12447, 1001, 20889, 8, 204, 73, 306, 86, 6543, 489, 5, 1007, 239, 6, 150, 5, 228, 438, 4781, 2088, 6757, 6, 2020, 3548, 6, 3152, 6757, 6, 856, 17993, 6, 8, 20535, 2810, 1045, 10, 11577, 8, 31612, 2369, 18795, 4, 8504, 11, 5, 762, 9, 272, 538, 6, 5, 2214, 1575, 10, 16331, 33215, 16739, 9, 272, 6, 211, 6, 272, 6, 8, 230, 6, 1271, 7, 63, 33200, 8, 10132, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50457, 53587, 61736, 53081, 50851, 50799, 51871, 51677, 51908, 51449, 50964, 52570, 56170, 53201, 51829, 53201, 52328, 53201, 51676, 53201, 57788, 51161, 53546, 51592, 51683, 51677, 52384, 51486, 52006, 52526, 51872, 71768, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 50832, 55108, 50832, 69506, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 50832, 54939, 52368, 51411, 54291, 50932, 51648, 51411, 51702, 51400, 50832, 73951, 59480, 51124, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 51908, 50932, 51871, 52062, 50832, 50971, 50799, 53546, 51878, 52384, 51413, 50832, 65707, 57788, 50991, 51683, 51627, 50416, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 51666, 51484, 50832, 56323, 50832, 50941, 50427, 60996, 51112, 50428, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 51531, 51627, 50832, 55108, 53546, 50932, 50832, 70639, 55301, 51291, 51963, 51283, 52384, 51413, 50440, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 50832, 54939, 53587, 51108, 50832, 73951, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 50832, 50971, 50799, 51908, 50827, 51871, 50844, 50953, 51196, 53455, 51922, 52333, 51922, 53546, 50933, 52006, 52526, 51872, 65707, 60996, 50800, 52310, 50864, 51866, 50854, 50416, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 51908, 51627, 51871, 51627, 60996, 51446, 53546, 51627, 52310, 51448, 51866, 51291, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 61075, 50832, 50971, 52224, 59380, 50832, 55108, 51443, 51285, 50832, 69506, 50832, 51126, 52260, 69869, 50832, 57522, 50832, 70003, 50832, 50941, 52283, 63155, 51666, 51199, 51691, 51108, 51859, 51466, 51982, 51466, 57435, 51048, 53081, 51709, 51913, 51645, 50832, 54939, 51702, 51346, 50832, 73951, 50832, 50971, 52145, 67010, 50832, 60325, 50832, 73706, 50832, 50904, 52215, 58449, 51531, 53142, 51908, 53142, 56170, 51922, 51676, 51922, 51829, 51922, 51953, 51922, 53587, 52140, 51963, 51243, 52384, 51264, 50832, 50971, 52534, 51469, 55301, 51605, 52006, 52526, 51872, 71768, 50832, 50904, 51921, 51000, 50419, 50832, 54202, 50832, 50941, 66049, 50941, 52111, 69645, 50832, 56323, 50832, 73956, 50832, 50904, 51999, 64463, 50832, 55286, 50832, 62692, 50832, 51128, 52224, 73370, 50832, 64212, 50832, 51851, 50440, 50832, 52134, 52260, 51297, 50443, 50832, 51851, 50444, 51068, 51909, 51297, 50446, 50832, 51128, 52283, 51319, 50449, 59829, 68359, 60258, 51068, 52100, 51128, 79697, 51319, 52145, 51319, 50455, 50832, 60272, 51068, 52493, 52139, 51319, 50458, 50832, 51319, 52215, 51851, 50461, 53546, 54101, 52134, 52534, 50880, 52277, 53201, 52673, 53201, 52901, 53201, 79017, 50839, 52344, 54819, 50964, 50962, 59829, 54447, 51700, 50857, 51707, 75900, 54104, 53546, 53383, 75990, 53208, 52773, 56338, 53546, 50822, 51707, 53705, 50964, 50962, 53587, 53065, 52273, 50857, 52181, 56446, 55233, 59701, 53587, 52444, 50964, 54441, 50840, 51707, 50904, 52344, 50837, 51891, 60362, 53081, 54247, 50964, 52374, 51700, 50813, 51707, 56518, 51891, 57723, 53587, 52741, 50964, 54441, 58045, 51707, 64833, 52181, 53017, 50964, 50962, 59829, 51277, 50791, 51700, 50857, 51621, 57498, 53546, 50862, 52534, 54441, 50846, 52344, 52944, 50964, 50962, 59829, 54447, 51700, 50857, 51707, 50971, 51891, 53868, 53546, 53383, 75990, 53208, 52773, 56338, 53546, 50810, 51707, 61699, 52181, 53031, 50964, 50962, 53587, 53065, 52273, 59880, 55233, 61360, 53587, 52444, 50964, 54441, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 53081, 50862, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 53587, 51446, 50450, 50964, 54441, 64703, 51707, 62356, 52181, 54232, 66827, 50852, 51700, 59854, 52993, 50809, 79704, 50864, 51531, 50857, 50964, 54441, 58888, 50839, 52344, 68353, 51531, 50981, 51994, 50981, 52993, 76260, 50964, 52374, 51700, 50857, 51707, 75900, 54104, 51707, 54689, 50964, 54441, 56338, 52181, 62627, 52619, 50864, 52344, 57378, 50964, 50962, 54144, 51421, 52273, 59701, 51531, 51172, 51871, 51172, 56107, 50880, 55301, 56937, 50840, 51707, 50904, 51891, 53027, 50964, 52374, 51700, 50813, 51707, 57298, 52146, 58510, 57435, 68390, 51666, 51642, 51871, 51233, 50964, 54441, 50840, 51891, 58207, 51707, 68935, 52181, 53017, 50964, 52374, 51700, 50857, 51621, 57498, 51908, 50864, 50799, 51871, 50857, 75990, 60996, 52773, 50846, 52344, 52944, 51908, 50981, 51871, 51312, 50964, 50962, 60996, 73262, 51700, 50857, 51707, 50971, 51891, 52712, 50964, 54441, 56338, 51707, 50904, 52146, 58734, 51666, 50857, 52181, 53031, 50964, 50962, 57435, 55593, 52273, 59701, 51908, 51277, 51871, 51448, 56107, 50880, 60996, 59155, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 51666, 50838, 51707, 55368, 50964, 50962, 57435, 54260, 51700, 58171, 51891, 61444, 51531, 75756, 75990, 55301, 60761, 64703, 51707, 62356, 52181, 54232, 66827, 50852, 51700, 59854, 51531, 50857, 51691, 50904, 52354, 50880, 55301, 50836, 53165, 56004, 52842, 56004, 52350, 56004, 50801, 50846, 52344, 68353, 51531, 50932, 51691, 57410, 50945, 50962, 55301, 56958, 51700, 50857, 52131, 75900, 54104, 51997, 54689, 50945, 54441, 56338, 51707, 62627, 52131, 57378, 51873, 50864, 50945, 50962, 54144, 52217, 52273, 53891, 51531, 51233, 51691, 51309, 50945, 50880, 55301, 60725, 50840, 52131, 50904, 51891, 53027, 50945, 52374, 51700, 50813, 51997, 57298, 51891, 58510, 51997, 52846, 51691, 50995, 51666, 51328, 50945, 50880, 57435, 51650, 58045, 51707, 68935, 55301, 50987, 52131, 53017, 51531, 51432, 50945, 52374, 51700, 50857, 51621, 50828, 50799, 51691, 50857, 51531, 50834, 50945, 50880, 55301, 53959, 50846, 52344, 61732, 55301, 61766, 51531, 51309, 51691, 51309, 50945, 52374, 51700, 50857, 52131, 50971, 51891, 52712, 50945, 54441, 56338, 51707, 50904, 51891, 58734, 51531, 50857, 51691, 50837, 55301, 50854, 52131, 53031, 50945, 56214, 52273, 59701, 51994, 51212, 51908, 51481, 54144, 51646, 75990, 52673, 53201, 52277, 53201, 52901, 53201, 50801, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 52993, 50839, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 51994, 51233, 51908, 51233, 52993, 59323, 50964, 54441, 64703, 51707, 62356, 52181, 54232, 50964, 58558, 51700, 50857, 50799, 51871, 50864, 51531, 50834, 75990, 52993, 53704, 58888, 50839, 52344, 63266, 52993, 61766, 51531, 50981, 51871, 50932, 50964, 52374, 51700, 50857, 51707, 50971, 51891, 52712, 50964, 54441, 56338, 51707, 61699, 51873, 50864, 52181, 53031, 50964, 50962, 54144, 51187, 52273, 59701, 51531, 51233, 51871, 51212, 56107, 50880, 55301, 68868, 50840, 51707, 50904, 52344, 50835, 51891, 60362, 51707, 55368, 50964, 52374, 51700, 58171, 51891, 61444, 51871, 51233, 51666, 68324, 75990, 57435, 51650, 64703, 51707, 62356, 55301, 50839, 52181, 54232, 50964, 52374, 51700, 50857, 51621, 50828, 50799, 51908, 50825, 51871, 50864, 50964, 54441, 50846, 52344 ]

[ 0, 713, 8787, 5175, 15229, 11, 230, 3694, 16, 17407, 30, 63, 15352, 30054, 8, 3366, 219, 13408, 6, 19, 10, 11602, 9, 23975, 1825, 4, 20, 13305, 6, 3459, 13305, 6, 38668, 483, 6, 38668, 9590, 6, 8, 21040, 2426, 283, 561, 7, 1045, 10, 13363, 28191, 2369, 18795, 4, 8504, 11, 10, 204, 73, 306, 86, 6543, 6, 5, 2125, 3136, 23, 41, 12447, 1001, 20889, 6, 19, 5, 33215, 16739, 9, 230, 119, 406, 8, 272, 119, 1271, 7, 63, 70, 2407, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 55333, 50911, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 64904, 50806, 58498, 50811, 60187, 79160, 54663, 53897, 53241, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50807, 52951, 50807, 52003, 50807, 52647, 50807, 51771, 50807, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 56734, 50806, 58498, 50811, 60187, 79160, 54663, 55516, 52282, 52003, 51696, 52647, 51696, 51771, 51696, 52158, 51696, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 55516, 50893, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 54663, 53897, 50893, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 51795, 54686, 51795, 54464, 51795, 56704, 51795, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 55333, 50911, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 64904, 50806, 58498, 50811, 60187, 79160, 54663, 53897, 53241, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 53293, 51184, 55743, 51184, 54410, 51184, 58086, 51184, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 68478, 50811, 57389, 52940, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50807, 52951, 50807, 52003, 50807, 52647, 50807, 51771, 50807, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 50799, 55333, 51977, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 51795, 54686, 51795, 54464, 51795, 56704, 51795, 58498, 50811, 60187, 50811, 51229, 54402, 55841, 50811, 59449, 50811, 51229, 53935, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 55841, 50811, 59449, 52952, 67061, 50811, 59016, 52940, 67497, 50893, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 56734, 50893, 58498, 50811, 60187, 79160, 54663, 55516, 51977, 52003, 51977, 52647, 51977, 51771, 51977, 52158, 51977, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 53293, 51184, 55743, 51184, 54410, 51184, 58086, 51184, 59767, 50811, 59613, 50811, 51674, 50840, 52591, 55841, 50811, 59449, 50811, 51229, 53548, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 59767, 50811, 59613, 50811, 51229, 52444, 55516, 50806, 53362, 50806, 52003, 50806, 52647, 50806, 51771, 50806, 52158, 50806, 64875, 55531, 73028, 68478, 50811, 57389, 52940, 55516, 50806, 53362, 50806, 52003, 50806, 52647, 50806, 51771, 50806, 52158, 50806, 51577, 51122, 55206, 50385, 52486, 50836, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 55516, 50911, 53362, 50911, 52003, 50911, 52647, 50911, 51771, 50911, 52158, 50911, 51577, 51122, 51864, 50385, 52752, 50811, 59767, 50811, 59613, 50811, 51229, 54663, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 64766, 51013, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 51845, 50361, 51053, 73028, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 53435, 54686, 53435, 54464, 53435, 56704, 53435, 58498, 50811, 60187, 50811, 51229, 50836, 51039, 50880, 55841, 50811, 59449, 50811, 51229, 64783, 56647, 50887, 51694, 73028, 54799, 50896, 63811, 50811, 59470, 79160, 50890, 54503, 50809, 51361, 50880, 55841, 50811, 59449, 59009, 53149, 55122, 52632, 55855, 73028, 53141, 50795, 67061, 50811, 59016, 52940, 52645, 55855, 73028, 56267, 50924, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 51758, 57321, 73028, 56647, 50887, 54799, 50806, 58498, 50811, 60187, 79160, 54663, 52587, 51364, 52003, 51696, 52647, 51696, 51771, 51696, 52158, 51696, 63151, 50880, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 54990, 50936, 53293, 52208, 55743, 52208, 54410, 52208, 58086, 52208, 59767, 50811, 59613, 50811, 51674, 50840, 53028, 54658, 63151, 50880, 52969, 50879, 55841, 50811, 59449, 50811, 51229, 50840, 51694, 73028, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 52587, 53417, 50880, 54544, 51226, 59767, 50811, 59613, 50811, 51229, 52444, 52632, 55855, 73028, 68478, 50811, 57389, 52940, 52632, 50879, 51577, 51225, 50880, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 52645, 57321, 73028, 52969, 51016, 59767, 50811, 59613, 50811, 51229, 54663, 51758, 55855, 73028, 63811, 50811, 59470, 79160, 50809, 54503, 50809, 64766, 51013, 52114, 52536, 53643, 52536, 51890, 52536, 52609, 52536, 63151, 50880, 58969, 52069, 63910, 52069, 57302, 52069, 57734, 52069, 52754, 53435, 54686, 53435, 54464, 53435, 56704, 53435, 58498, 50811, 60187, 50811, 51229, 50836, 51039, 50880, 55841, 50811, 59449, 50811, 51229, 64783, 56647, 50887, 51694, 73028, 54799, 50896, 63811, 50811, 59470, 79160, 50890, 54503, 50809, 51361, 50880, 55841, 50811, 59449, 59009, 53149, 55122, 52632, 55855, 73028, 53141, 50806, 67061, 50811, 59016, 52940, 52645, 55855, 73028, 56267, 50936, 59767, 50811, 59613, 50811, 51229, 50836, 54503, 52555, 51758, 57321, 73028, 53141, 50806, 58498, 50811, 60187, 79160, 68065, 56216, 54647, 52587, 51364, 52003, 52536, 52647, 52536, 51771, 52536, 52158, 52536, 63151, 50880, 58185, 51353, 59679, 51353, 56825, 51353, 56482, 51353, 69631, 51021, 53293, 52208, 55743, 52208, 54410, 52208, 58086, 52208, 59767, 50811, 59613, 50811, 51674, 50840, 53028, 54658, 63151, 50880, 59245, 50806, 55841, 50811, 59449, 50811, 51229, 50840, 51694, 73028, 63811, 50811, 59470, 79160, 50890, 54503, 52359, 52587, 53417, 50880, 54799, 51235, 59767, 50811, 59613, 50811, 51229, 52444, 52632, 55855, 73028, 68478, 50811, 57389, 52940, 52632, 50879, 51577, 51225, 50880, 54990, 50983, 67061, 50811, 59016, 50811, 51674, 50809, 54503, 52555, 52645, 50879, 52951, 51016, 52003, 51016, 52647, 51016, 51771, 62909, 73028, 59767, 50811, 59613, 50811, 51229, 54663, 51758, 55855, 73028, 63811, 50811, 59470 ]

[ 0, 250, 19448, 5175, 19834, 4246, 41, 21979, 8669, 483, 7513, 30, 10, 6755, 12547, 6, 21072, 6, 18558, 6, 8, 31391, 1672, 9590, 4, 20, 2214, 7630, 6568, 10, 5679, 26709, 8, 3722, 5466, 6, 10686, 13, 822, 4, 85, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 6543, 8, 16, 278, 11, 5, 762, 9, 230, 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 ]

[ 54458, 61627, 51164, 50918, 50885, 51036, 50872, 51036, 50850, 62641, 52728, 50939, 50807, 61281, 71365, 52910, 50847, 52424, 51171, 50918, 50946, 51161, 50872, 51918, 50848, 51798, 50872, 50918, 57732, 59492, 50939, 53182, 50988, 51646, 50885, 57172, 51605, 50872, 51605, 50939, 51918, 74233, 50939, 51161, 57732, 57345, 53160, 50795, 51149, 51646, 51332, 55990, 50918, 50939, 50918, 51257, 51918, 51332, 50795, 51149, 51798, 51171, 56528, 51923, 51217, 50795, 56696, 59008, 50918, 50872, 51161, 50850, 51161, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 50909, 51370, 53031, 51007, 52152, 57481, 51217, 50918, 68456, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 60930, 56663, 50885, 70113, 63474, 51949, 55223, 50832, 52579, 50872, 59331, 51007, 52959, 51004, 58282, 50918, 51181, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 50872, 59331, 51007, 52959, 57395, 60945, 50885, 57858, 55541, 53305, 52223, 54203, 51332, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 54704, 50847, 51820, 50872, 57068, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50868, 57429, 53600, 60078, 50903, 51693, 74015, 50918, 50848, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50872, 64700, 64276, 51370, 53031, 50909, 51370, 54203, 51688, 77560, 50983, 75707, 51007, 50795, 51844, 51127, 52033, 51447, 51656, 51447, 51711, 51447, 52225, 51447, 53215, 50918, 54643, 52616, 51149, 52959, 51258, 51955, 51130, 51949, 55223, 50832, 52579, 50872, 51358, 50939, 51358, 51007, 51358, 51257, 51358, 59526, 74491, 50807, 54311, 50943, 51881, 51447, 51615, 51447, 51863, 51447, 51838, 51447, 52776, 53305, 51406, 58010, 57395, 51688, 50795, 51844, 50873, 53215, 51370, 53031, 52021, 50795, 51727, 50873, 52602, 51650, 52465, 54203, 51332, 55787, 55599, 77179, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 52616, 51007, 51370, 56663, 51171, 50795, 56696, 51181, 50873, 52371, 57429, 51130, 54781, 50903, 53556, 51217, 55599, 50795, 51374, 50873, 52830, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 55541, 50918, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 50909, 51370, 53031, 51257, 52152, 57481, 51217, 77560, 71365, 50918, 51149, 50807, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 60930, 56663, 50909, 58785, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 50848, 50918, 50872, 71365, 50918, 51007, 50807, 51181, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 58010, 57395, 51007, 50807, 51468, 53782, 52223, 54203, 51332, 71365, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 52616, 50872, 51370, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50946, 57429, 53600, 60078, 50903, 51693, 69768, 50918, 50988, 50918, 51857, 51127, 51743, 51671, 51615, 51671, 52187, 51671, 52036, 51671, 54333, 50918, 52455, 58010, 57395, 60945, 50848, 51370, 54203, 53160, 50918, 51042, 50983, 50872, 50795, 54311, 51127, 52776, 50918, 54643, 52616, 50847, 51370, 56663, 50850, 57429, 51130, 51949, 55223, 50832, 52579, 51037, 51605, 50868, 50983, 50847, 51605, 51863, 51445, 51711, 51445, 52225, 51445, 52735, 76914, 51331, 50923, 57732, 50807, 51338, 50943, 52143, 50807, 51039, 57395, 51171, 56378, 50807, 51181, 50943, 52371, 50807, 51468, 53782, 52465, 54203, 51217, 57680, 50807, 51374, 50943, 52830, 53305, 51437, 60930, 56663, 51332, 65333, 55787, 55541, 70286, 50943, 52143, 58785, 51130, 54781, 50903, 53556, 50939, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 50918, 68456, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 68456, 60945, 50852, 57481, 51217, 77560, 71365, 50918, 51007, 50795, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 52616, 50909, 56958, 56663, 51007, 58785, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 50848, 50918, 50872, 71365, 65961, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 50847, 52959, 57395, 60945, 50850, 52218, 52223, 59817, 50847, 51724, 51332, 50918, 50872, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 52616, 50946, 51370, 56663, 50885, 57429, 51130, 54781, 50903, 53556, 50946, 57429, 53600, 60078, 50903, 51693, 74015, 50918, 50848, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50872, 64700, 64276, 51370, 53031, 50909, 51370, 54203, 51688, 77560, 50983, 75707, 51007, 50795, 51844, 51127, 52033, 51447, 51656, 51447, 51711, 51447, 52225, 51447, 53215, 50918, 54643, 52616, 51149, 52959, 51258, 51955, 51130, 51949, 55223, 50832, 52579, 50872, 51358, 50939, 51358, 51007, 51358, 51257, 51358, 59526, 74491, 50807, 54311, 50943, 51881, 51447, 51615, 51447, 51863, 51447, 51838, 51447, 52776, 53305, 51406, 58010, 57395, 51688, 50795, 51844, 50873, 53215, 51370, 53031, 52021, 50795, 51727, 50873, 52602, 51650, 52465, 54203, 51332, 50807, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 60930, 56663, 51171, 55914, 50939, 77179, 51181, 50873, 52371, 57429, 51130, 54781, 50903, 53556, 51217, 60613, 51374, 50873, 52830, 57429, 53600, 60078, 50903, 51693, 59008, 50918, 50872, 71365, 50918, 68456, 51132, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 51887, 50918, 52455, 60740, 57395, 51257, 50807, 60945, 50852, 57481, 51217, 77560, 71365, 50918, 59792, 51374, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52830, 50918, 54643, 52616, 50909, 57068, 51258, 51955, 51130, 51949, 55223, 50832, 50820, 51453, 51004, 58282, 50918, 74024, 79274, 75707, 51007, 65961, 51127, 51881, 51447, 51743, 51447, 51656, 51447, 52371, 50918, 52455, 52761, 51007, 52959, 57395, 60945, 74233, 79274, 50850, 60314, 52223, 54203, 51332, 50918, 51338, 51127, 52133, 51447, 51743, 51447, 51656, 51447, 52143, 50918, 54643, 60930, 56663, 50850, 57429, 51130, 54781, 50903, 53556, 53449, 50903, 53600, 60078, 50903, 51693, 74015, 50918, 51037, 50918, 50848, 50918, 50872, 50807, 51727, 51127, 51743, 51447, 51863, 51447, 51838, 51447, 52036, 51447, 52602, 50918, 52455, 58010, 57395, 50850, 50807, 51468, 51361, 54203, 51332, 65333, 76481, 51338, 50943, 51711, 51965, 51863, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51406, 60930, 56663, 51332, 50807, 53449, 51338, 50943, 52143, 58785, 51130, 51949, 55223, 50832, 52579, 50946, 51358, 50885, 51358, 50872, 51358, 52133, 52015, 51743, 52015, 51656, 52015, 51711, 52015, 50801, 51331, 50923, 50799, 53845, 50983, 58154, 51218, 52907, 50983, 51039, 57395, 60945, 53845, 50795, 58154, 50873, 52907, 51650, 52465, 54203, 51332, 68600, 68456, 51338, 50943, 51863, 51447, 51711, 51447, 52225, 51447, 52735, 51447, 52143, 53305, 51437, 60930, 56663, 51332, 76481, 50939, 50807, 51338, 50943, 52143, 58785, 51130, 54781, 50903, 53556, 50903, 53600, 60078, 50903, 51693, 59008, 57858, 50983, 50850, 53006 ]

[ 0, 250, 765, 37903, 9, 5175, 15855, 930, 11, 12608, 3694, 6, 4246, 10, 2933, 8, 20425, 6711, 4, 85, 34, 10, 27841, 139, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 19, 10, 881, 21263, 9, 5, 33215, 13931, 12608, 119, 6, 163, 428, 6, 12608, 119, 6, 8, 163, 428, 406, 73, 495, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51081, 52410, 51086, 52038, 51081, 52030, 51086, 52125, 51220, 52313, 51086, 52175, 51220, 52325, 51147, 50802, 58526, 52410, 51147, 52038, 51176, 52030, 51147, 52125, 51176, 52313, 51081, 52175, 51176, 52325, 51399, 50802, 60820, 52410, 50956, 52038, 51081, 52030, 50956, 52125, 51399, 52313, 50956, 52175, 51399, 52325, 51081, 50802, 56178, 52410, 51081, 52038, 50956, 52030, 51081, 52125, 50956, 52313, 51399, 52175, 50956, 52325, 51405, 50802, 60820, 52410, 51086, 52038, 51081, 52030, 51086, 52125, 51220, 52313, 51086, 52175, 51220, 52325, 51399, 50802, 58526, 52410, 51399, 52038, 51176, 52030, 51220, 52125, 51176, 52313, 51220, 52175, 51176, 52325, 51220, 50802, 60820, 52410, 50956, 52038, 51081, 52030, 50956, 52125, 51399, 52313, 50956, 52175, 51399, 52325, 51405, 50802, 57346, 52410, 51405, 52038, 51040, 52030, 51405, 52125, 51040, 52313, 51787, 52175, 51040, 52325, 52128, 50802, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3366, 219, 5175, 25771, 2214, 19, 10, 980, 219, 8, 15352, 30054, 16464, 6, 4246, 38668, 18569, 6, 21072, 6, 8, 10, 38668, 9590, 4, 20, 1349, 16, 11, 274, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 3136, 23, 41, 12447, 1001, 20889, 9, 8325, 163, 5683, 6, 19, 5, 40286, 274, 8, 163, 428, 73, 597, 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, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 50456, 52293, 54792, 56558, 50809, 50799, 52999, 53834, 76299, 50387, 55550, 50387, 53692, 57188, 52293, 50849, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 66720, 52999, 55732, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 66720, 55526, 50849, 52556, 53834, 51589, 54434, 54913, 50849, 52020, 50849, 71950, 58426, 50873, 51874, 57652, 51370, 54509, 50689, 50270, 50873, 52505, 50873, 52558, 50799, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 56910, 51589, 55105, 52293, 50849, 75445, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 67450, 52201, 54342, 52293, 50849, 66720, 52999, 50849, 52509, 51013, 52754, 51013, 54464, 56910, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53298, 51013, 53514, 51013, 55743, 51013, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 53514, 50879, 53293, 50879, 54464, 50879, 51190, 54936, 55149, 52999, 50849, 53514, 50879, 53293, 50879, 54464, 53417, 50905, 51553, 56210, 52293, 50849, 53514, 50879, 51190, 53823, 58361, 51224, 50882, 50799, 52999, 50849, 51190, 53183, 55446, 52293, 50849, 53514, 51013, 53293, 51013, 54464, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50879, 53293, 50879, 54464, 50879, 66720, 52999, 50849, 52509, 50879, 52754, 50879, 54464, 54523, 51589, 54434, 52293, 50849, 52509, 50879, 52754, 50879, 54464, 50879, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 51013, 55743, 51013, 54410, 51013, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 51013, 66720, 55526, 50849, 52556, 53834, 51589, 54434, 54913, 50849, 52020, 50849, 53514, 51013, 53293, 51013, 54464, 51013, 71950, 58426, 50873, 51874, 57652, 51370, 54509, 50689, 50270, 50873, 52505, 50873, 53514, 50879, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 75445, 52999, 50849, 53514, 51013, 53293, 51013, 54464, 67450, 52201, 54342, 52293, 50849, 66720, 52999, 50849, 52509, 51013, 52754, 51013, 54464, 56910, 51589, 54434, 52293, 50849, 71950, 52999, 54792, 52201, 54509, 52293, 50849, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50807, 66720, 52999, 53834, 51589, 54434, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 71950, 52999, 54792, 51370, 54509, 52293, 50849, 53514, 51370, 50867, 50799, 52999, 53834, 51589, 55105, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 75445, 52999, 54792, 52201, 54342, 52293, 50849, 53514, 50795, 53293, 50795, 54464, 51370, 54077, 52999, 50849, 76117, 52754, 50795, 54464, 51428, 51589, 54434, 52293, 50873, 76117, 52754, 50795, 54464, 51370, 54185, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50807, 66720, 52999, 50849, 52293, 53834, 55629, 56448, 76428, 52060, 61173, 52060, 61285, 52060, 54758, 52999, 50849, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 50807, 51190, 56448, 61794, 52060, 56518, 52060, 59433, 52060, 54208, 54916, 50873, 53178, 57652, 51370, 50905, 52060, 62161, 51553, 60754, 51553, 64461, 51553, 54232, 54916, 50873, 53178, 50873, 51190, 54936, 62309, 51553, 54655, 51553, 59496, 51553, 50836, 50799, 54913, 50873, 53298, 50807, 53514, 50807, 53293, 52221, 55629, 54936, 63137, 53213, 52020, 50873, 75445, 54913, 50873, 53298, 50807, 53514, 50807, 53293, 53030, 52201, 54342, 52020, 50873, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 52221, 50901, 71950, 54913, 55732, 57353, 52201, 54509, 52020, 50873, 53298, 52152, 50893, 50799, 54913, 50873, 53298, 50795, 53293, 50795, 54464, 51428, 51589, 55105, 52020, 50873, 53298, 50807, 53293, 50807, 54464, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 71950, 54913, 57652, 51370, 54509, 52020, 50873, 53298, 51370, 50867, 50799, 54913, 55732, 51589, 55105, 52020, 50873, 53298, 50807, 53514, 50807, 53293, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 51370, 54077, 54913, 50873, 53298, 50795, 52754, 50795, 53619, 51428, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 71950, 54913, 57652, 52201, 54509, 52020, 50873, 53298, 51370, 50867, 50799, 54913, 50873, 53298, 50795, 53293, 50795, 54464, 51428, 50833, 52558, 50420, 52020, 50873, 53298, 50807, 53293, 50807, 54464, 50807, 75445, 54913, 57652, 52201, 54342, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 66720, 54913, 55732, 51589, 54434, 52020, 50873, 53298, 50807, 52754, 50807, 53619, 50807, 51190, 54936, 57740, 51553, 59673, 51553, 54255, 51553, 63865, 51553, 57868, 51553, 53409, 54913, 57652, 51370, 50905, 51553, 59682, 51553, 54418, 52020, 50873, 53298, 50795, 52754, 50795, 53619, 50795, 51190, 53823, 57264, 51224, 50859, 50799, 52999, 55732, 55629, 53183, 51012, 51769, 65061, 52293, 50873, 53514, 50807, 53293, 50807, 54464, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50795, 53293, 50795, 54464, 51370, 54077, 52999, 50873, 52509, 50807, 52754, 50807, 54464, 52221, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 50807, 66720, 52999, 55732, 51589, 54434, 52293, 50873, 53514, 50807, 53293, 50807, 54464, 50807, 71950, 52999, 57652, 51370, 54509, 52293, 50873, 53514, 51370, 50867, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 75445, 52999, 50873, 53514, 50807, 53293, 50807, 54464, 53030, 52201, 54342, 52293, 50873, 66720, 52999, 50873, 52509, 50807, 52754, 50807, 54464, 52221, 51589, 54434, 52293, 50873, 71950, 52999, 57652, 52201, 54509, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 52558, 50799, 52999, 55732, 51589, 55105, 52293, 50873, 53514, 50807, 55743, 50807, 54410, 50807, 75445, 52999, 57652, 52201, 54342, 52293, 50873, 53514, 51370, 54077, 52999, 50849, 52293, 50849, 53514, 50807, 53293, 50807, 54464, 52221, 55629, 54936, 57972, 51553, 64562, 51553, 55218, 51553, 59117, 51553, 58431, 51553, 53885, 52999, 50849, 52293, 50849, 51190, 54936, 56160, 54916, 50873, 53178, 57652, 51370, 50905, 51553, 59574, 51456, 54403, 54916, 50873, 53178, 50873, 51190, 53120, 58361, 51326 ]

[ 0, 250, 2635, 8, 19448, 5175, 25771, 2214, 4246, 10, 13305, 8, 41, 6168, 3540, 6, 278, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 226, 22740, 20889, 9, 654, 13410, 228, 2289, 6, 2351, 10, 23975, 8, 2829, 2933, 5466, 19, 15352, 30054, 4785, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50447, 54258, 50821, 54258, 50821, 63767, 50821, 63767, 50821, 77432, 50821, 77432, 53153, 54258, 51160, 54258, 51160, 63767, 51160, 63767, 51160, 77432, 51160, 77432, 51160, 50459, 54050, 50821, 54050, 50821, 59849, 50821, 59849, 50821, 65358, 50821, 65358, 50821, 76759, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 50980, 55677, 51469, 50426, 52745, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56158, 51774, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56812, 52557, 50980, 54258, 50980, 54258, 50980, 63767, 50980, 63767, 50980, 77432, 50980, 77432, 50980, 78320, 50806, 52257, 50806, 52257, 50806, 58795, 50806, 58795, 50806, 63767, 50806, 63767, 50806, 55677, 69033, 52557, 50806, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 50806, 59849, 50806, 59849, 52247, 52769, 50806, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 52309, 52557, 50806, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 50806, 59849, 50806, 59849, 52322, 52027, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 63767, 50980, 63767, 56812, 52557, 50980, 50799, 72840, 50980, 55677, 50980, 52257, 50980, 52257, 50980, 63767, 50980, 63767, 56003, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 50806, 52557, 50980, 52027, 50980, 51434, 56925, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52322, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 50806, 57848, 50980, 52769, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52603, 50806, 52603, 50806, 58795, 50806, 58795, 50806, 52557, 50980, 52027, 50980, 51434, 57175, 52327, 50806, 52327, 50806, 59849, 50806, 59849, 50806, 50799, 57117, 50806, 52557, 50806, 52257, 51196, 52257, 51196, 63767, 51196, 63767, 62002, 58748, 50806, 52745, 52247, 54437, 50806, 51774, 52309, 56922, 50806, 52435, 52322, 53722, 50806, 51614, 50806, 54258, 50806, 54258, 50806, 59849, 50806, 59849, 52692, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 52610, 54258, 50806, 54258, 50806, 54910, 50806, 54910, 52931, 53876, 50806, 53876, 50806, 58795, 50806, 58795, 50806, 50799, 57117, 50980, 52557, 50980, 52327, 51285, 52327, 51285, 59849, 51285, 59849, 68542, 52557, 51160, 51614, 51160, 51929, 71832, 52557, 50821, 51614, 50821, 51929, 52877, 52557, 50980, 51614, 50980, 51929, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 50806, 53722, 57175, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 50806, 50799, 55677, 50980, 52257, 51285, 52257, 51285, 63767, 51285, 63767, 68542, 52557, 51160, 52027, 51160, 51434, 71832, 52557, 50821, 52027, 50821, 51434, 52877, 52557, 50980, 52027, 50980, 51434, 58648, 52257, 50806, 52257, 50806, 63767, 50806, 63767, 52610, 52769, 50806, 54258, 50806, 54258, 50806, 77432, 50806, 77432, 52931, 54632, 50806, 54050, 50806, 54050, 50806, 65358, 50806, 65358, 50806, 50799, 57117, 50980, 52557, 50980, 52257, 51196, 63767, 63492, 52557, 50980, 52027, 50980, 51434, 50980, 54258, 50980, 58795, 56158, 57117, 50980, 52557, 50980, 52327, 51196, 59849, 69562, 54632, 50980, 51614, 50980, 51515, 50980, 51929, 50980, 54258, 50980, 54910, 50980, 51057, 52027, 50980, 51434, 50980, 52603, 50980, 52603, 50980, 52257, 50980, 52257, 50980, 58795, 50980, 58795, 50980, 51057, 53042, 50806, 55677, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50896, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52203, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 53042, 50806, 52769, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50980, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50806, 55677, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52774, 52203, 50806, 52769, 50806, 52557, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52247, 52849, 50806, 57117, 50806, 52257, 50806, 52257, 50806, 54258, 50806, 54258, 52309, 52849, 50806, 52769, 50806, 52557, 50806, 52257, 50806, 52257, 50806, 54258, 50806, 54258, 50806, 51057, 52203, 50896, 55677, 50806, 52603, 50980, 52603, 50980, 52257, 50980, 52257, 59217, 52769, 50806, 52557, 52247, 52203, 50806, 52769, 50806, 52557, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52309, 52769, 50806, 52557, 50806, 51057, 52203, 50806, 54437, 50806, 51774, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52774, 52203, 50806, 52769, 50806, 51774, 50806, 52027, 50806, 52603, 50806, 52603, 50806, 52257, 50806, 52257, 52247, 53042, 50806, 53369, 50806, 51607, 50806, 51607, 50806, 52603, 50806, 52603, 52309, 52307, 50806, 52806, 50806, 51774, 50806, 52027, 50806, 51607, 50806, 51607, 50806, 52327, 50806, 52327, 50806, 51057, 52307, 50980, 57117, 50806, 52557, 50806, 51773, 50980, 51773, 50980, 51669, 50980, 51669, 50980, 52327, 50980, 52327, 59217, 54632, 52247, 52769, 52309, 53369, 50806, 51057, 53042, 50806, 55677, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50896, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52203, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 53042, 50806, 52769, 52774, 53042, 50806, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52307, 50806, 57117, 52309, 52307, 50806, 51614, 50806, 51614, 50806, 51929, 50806, 51929, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50980, 55677, 59217, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52247, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 52309, 52027, 50806, 52027, 50806, 51434, 50806, 51434, 50806, 51773, 50806, 51773, 50806, 51057, 52203, 50806, 52027, 50806, 52257, 50806, 52257, 50806, 52027, 50980, 51607, 50980, 51607, 59217, 52203, 50806, 51440, 50806, 52257, 50806, 52257, 52247, 52614, 50806, 51614, 50806, 52807, 50806, 52807, 50806, 51614, 50980, 52603, 50980, 52603, 56925, 52203, 50806, 52027, 50806, 51440, 50806, 52257, 50806, 52257, 50806, 51057, 52307, 50896, 51614, 50806, 51614, 50980, 51669, 50980, 51669, 50980, 52327, 51274 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3152, 15229, 6, 42, 8787, 2125, 16, 278, 11, 381, 3694, 8, 11498, 10, 7212, 204, 73, 306, 20889, 4, 20, 13305, 8, 2382, 3459, 8669, 483, 5, 169, 6, 2800, 30, 5, 25115, 32343, 9, 38668, 22052, 8, 10, 697, 6755, 12547, 6, 150, 5, 21072, 694, 10, 5204, 41063, 15796, 4811, 4, 20, 33215, 16739, 9, 83, 6, 3676, 6, 211, 6, 163, 119, 6, 8, 272, 31473, 7, 5, 2214, 18, 33558, 8, 9066, 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 ]

[ 54458, 50456, 60189, 51541, 57731, 59456, 50893, 50428, 60544, 50889, 50439, 60189, 51345, 50449, 73365, 58448, 51472, 54708, 51056, 52978, 51073, 59811, 50829, 53722, 50905, 51614, 50838, 51944, 50845, 51440, 50845, 51669, 50901, 79147, 51448, 61372, 51448, 52016, 51115, 52582, 51448, 51701, 51115, 52009, 51115, 50460, 50843, 52291, 60628, 50841, 52177, 50843, 53495, 58640, 51069, 50896, 60189, 51204, 56531, 51346, 54033, 51112, 61305, 50863, 56090, 50838, 52806, 50974, 51440, 50849, 51607, 51101, 52043, 51233, 75154, 51233, 52091, 51101, 51701, 51423, 51716, 51412, 58932, 53762, 54114, 50843, 53107, 65454, 57205, 51541, 63678, 62476, 50843, 53495, 58136, 54991, 60189, 52732, 53495, 50908, 51809, 58448, 50807, 66200, 63740, 53855, 57205, 66739, 53107, 53962, 50843, 52291, 59445, 50927, 51226, 62672, 52195, 54708, 51056, 52978, 51112, 66200, 50863, 53722, 50974, 51614, 50978, 51944, 50845, 51440, 50866, 51669, 50873, 79147, 51878, 61372, 51397, 52016, 51218, 52582, 51397, 51701, 51397, 52009, 51115, 59341, 53995, 50908, 50452, 50843, 53495, 63343, 50945, 51226, 57205, 51291, 53143, 51400, 52798, 51294, 66200, 50870, 58933, 51337, 53369, 51043, 51515, 51100, 51440, 51110, 51607, 51255, 66451, 51312, 51821, 51255, 51701, 51400, 51716, 50915, 50796, 52399, 52499, 60628, 50839, 59915, 53495, 62618, 66200, 61193, 58599, 51742, 54268, 53995, 64807, 50843, 53495, 69232, 66200, 50891, 50799, 58578, 77776, 52499, 67945, 50843, 53495, 62184, 69276, 62134, 51417, 54764, 51167, 59811, 50829, 50656, 50284, 54143, 55243, 53487, 51434, 53259, 51808, 53363, 52043, 53753, 51815, 51359, 50701, 50284, 55408, 67348, 53295, 52091, 55428, 51678, 53295, 52252, 53295, 52295, 55277, 50434, 50843, 52291, 60628, 50841, 51089, 51894, 50440, 50843, 53495, 53384, 62157, 51097, 50445, 51205, 51377, 55142, 50879, 61305, 50371, 52617, 68127, 51452, 50455, 51019, 51178, 67620, 51749, 54148, 59964, 53762, 77430, 50895, 51208, 51417, 50460, 50843, 53107, 50908, 52478, 63678, 68713, 62157, 51380, 50428, 50843, 53495, 58136, 58685, 50843, 53495, 52958, 62134, 51423, 66200, 63740, 63865, 62134, 51411, 67346, 53107, 65496, 50843, 52291, 56013, 50953, 51346, 62134, 52335, 52876, 51345, 66200, 50863, 57848, 51679, 52769, 51283, 51434, 51189, 51808, 51310, 51669, 51477, 52257, 51283, 51401, 51307, 63995, 52062, 51678, 52062, 52252, 52062, 52009, 52222, 56020, 50843, 53995, 50908, 51083, 51714, 50427, 50843, 53495, 53814, 50927, 51345, 52978, 51100, 66200, 50370, 52617, 50895, 51020, 51692, 50442, 50953, 51178, 52837, 51111, 50843, 52499, 60628, 79914, 50895, 51208, 51183, 78847, 53495, 58207, 60189, 51141, 66200, 50863, 51601, 50843, 53995, 62589, 59456, 51111, 50843, 53495, 52966, 60544, 51157, 66200, 63122, 60189, 63590, 52499, 50908, 63262, 53495, 55721, 50927, 51162, 58448, 51291, 54708, 51377, 52978, 51073, 59811, 50829, 53722, 51277, 51614, 51277, 51944, 51242, 51440, 51242, 51669, 51043, 79147, 51448, 61372, 51448, 52016, 51295, 52582, 51448, 51701, 51397, 52009, 51448, 50457, 50843, 52291, 60628, 50841, 55986, 53495, 53738, 51069, 51377, 60189, 51091, 56531, 51346, 54033, 51112, 61305, 50863, 56090, 51753, 52806, 51337, 51440, 51043, 51607, 51194, 52043, 51363, 75154, 51484, 52091, 51194, 51701, 51203, 51716, 51411, 50430, 50843, 53762, 55762, 50843, 53107, 50908, 50440, 57205, 51294, 63678, 69232, 50843, 53495, 58136, 52920, 60189, 55185, 53495, 59119, 58448, 50807, 66200, 63740, 50846, 60212, 57205, 66739, 53107, 50928, 53764, 52291, 63795, 50927, 50889, 62672, 51291, 54708, 50943, 52978, 51112, 66200, 50863, 53722, 51006, 51614, 51006, 51944, 50892, 51440, 50978, 51669, 50892, 79147, 51145, 61372, 51627, 52016, 51115, 52582, 51535, 51701, 51397, 52009, 51535, 54032, 53995, 53166, 50843, 53495, 64360, 50945, 51055, 57205, 50918, 53143, 51400, 52798, 51294, 66200, 50870, 58933, 51423, 53369, 51337, 51515, 51233, 51440, 51203, 51607, 51480, 66451, 50932, 51821, 51377, 51701, 51003, 51716, 51134, 52177, 50843, 52499, 60628, 58235, 50843, 53495, 74031, 66200, 56609, 58599, 51134, 57315, 53995, 68211, 55635, 51328, 50843, 53495, 63612, 66200, 57855, 58599, 51775, 50458, 58578, 50981, 55975, 52499, 50908, 51809, 50843, 53495, 60776, 51019, 51285, 62134, 51115, 54764, 51167, 53752, 52755, 50829, 55243, 51965, 51660, 51381, 51434, 51562, 51808, 51535, 52043, 51627, 51815, 51036, 50701, 50284, 55277, 67348, 55277, 52091, 55428, 51678, 55277, 52252, 55277, 52295, 55277, 58932, 72340, 51089, 52069, 50437, 50843, 53495, 67387, 62157, 50981, 55142, 50879, 57653, 52532, 73175, 51422, 50452, 51019, 51364, 67620, 51448, 54148, 54523, 52141, 53762, 50928, 51208, 51397, 68674, 53107, 50908, 51601, 63678, 59509, 51205, 51797, 62157, 63575, 53434, 53495, 60628, 59508, 50843, 53495, 55813, 62134, 51337, 50436, 51019, 51157, 59491, 52535, 58394, 51213, 51227, 62134, 51400, 50843, 53107, 78014, 50843, 52291, 63917, 50953, 51336, 62134, 51445, 52876, 51238, 53804, 52535, 50863, 57848, 51080, 52769, 51148, 51434, 51183, 51808, 51148, 51669, 51148, 52257, 51244, 51401, 51353, 63995, 56235, 51678, 55116, 52252, 58643, 52009, 55277, 53069, 50843, 53995, 50368, 51765, 50839, 51083, 52069, 73535, 53495, 65973, 52978, 51100, 64892, 52535, 50870, 51020, 51452, 50440, 50953, 51472, 52837, 65764, 53833, 52499, 50928, 51208, 51562, 50445, 59456, 63342, 53495, 63612, 56601, 52848, 60189, 51346, 51266, 51534, 66200, 57243, 50927, 51346, 58448, 51346, 51107, 51411, 50798, 53833, 77163, 52478, 50843, 53495, 54951, 50953, 51203, 60189, 50889, 51266, 50981, 55722, 52535, 70365, 57535, 50927, 51043, 59456, 51048, 51284, 50981, 63014, 52499, 64481, 50843, 53495, 53384, 51019, 51196, 65256, 51291, 54764, 51167, 51558, 51627, 53752, 52755, 50829, 55243, 53849, 51660, 53413, 51434, 53454, 51808, 53082, 52043, 53478, 51815, 53259, 67348, 55277, 52091, 55408, 51678, 55277, 52252, 55116, 52295, 55482, 50454, 50843, 72340, 51089, 51307, 50460, 50843, 53495, 50891, 52177, 63912, 51048, 55142, 50879, 51384, 51411, 57653, 52532, 73175, 51486, 50427, 51019, 51189, 67261, 51446, 54148, 50879, 51733, 77005, 52141, 53762, 50928, 51208, 51413, 58932, 53107, 52958, 63678, 63612, 51019, 51346, 63912, 50889, 51384, 56203, 53434, 53495, 60628, 50834, 54710, 53495, 63343, 51205, 51025, 60891, 51446, 51304, 51627, 59491, 52535, 50863, 55753, 51019, 76985, 53107, 53098, 50843, 52291, 66284, 51069, 51215, 59456, 52500, 54033, 51110, 51284, 54035, 50846, 56090, 51423, 52806, 51309, 51440, 51101, 51607, 51194, 52043, 51233, 51282, 51194, 51023, 51100, 51092, 51060, 51403, 51100, 52110, 51101, 75154, 51677, 52091, 51742, 51701, 51452, 51716, 51677, 50452, 51069, 51111, 54033, 50806, 51284, 51233, 52428, 52617, 50846, 56090, 51242, 52806, 51337, 51440, 51255, 51607, 51255, 52043, 51124, 51282, 51178, 51023, 51116, 51092, 50967, 51403, 51215, 52110, 51043, 53285, 51212, 54033, 51215, 51284, 55998, 51276, 50608, 50818, 56090, 51051, 52806, 50933, 51440, 50959, 51607, 50978, 52043, 50978, 51282, 73753, 50845, 51092, 50845, 51403, 50873, 52110, 51328, 50435, 52235, 51025, 50446, 52235, 51400, 50456, 53085, 51025, 53069, 51971, 51562, 51069, 51215, 53752, 50828, 56090, 52015, 52806, 51592, 51660, 51677, 51440, 51422, 51607, 51662, 51282 ]

[ 0, 4688, 14899, 5175, 3495, 2214, 4246, 36075, 8669, 6, 21072, 6, 3152, 6757, 6, 228, 438, 4781, 2088, 6757, 6, 8, 12280, 3275, 1725, 3109, 6, 2351, 10, 15352, 30054, 8, 20425, 5466, 4, 8504, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 163, 5683, 6, 19, 5, 33215, 16739, 9, 274, 401, 6, 230, 6, 8, 272, 16331, 1328, 5, 2125, 6, 8216, 7, 63, 1372, 8, 1313, 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 ]

[ 54458, 61163, 55198, 50776, 50314, 53501, 51155, 54484, 51046, 51717, 62273, 64218, 50870, 54245, 60685, 54245, 75549, 53899, 51287, 51459, 50870, 54245, 53906, 69386, 54245, 53911, 50843, 58586, 50870, 54245, 50854, 51556, 50820, 54245, 62079, 51190, 51459, 50870, 54245, 50854, 65947, 54245, 50854, 51618, 76397, 56663, 51782, 51459, 50870, 54245, 50854, 51647, 50928, 54245, 50854, 51453, 64218, 50908, 54245, 58223, 51190, 51459, 51129, 50799, 51782, 51459, 50870, 54245, 60685, 54245, 75549, 62827, 64024, 51287, 51459, 50870, 54245, 53906, 73554, 54245, 57544, 51587, 51258, 50430, 52547, 53917, 50843, 58586, 50870, 54245, 56529, 63609, 54245, 68412, 52547, 55381, 51758, 50896, 51222, 51016, 51587, 51129, 54517, 58666, 51190, 51459, 50870, 54517, 70532, 52471, 51653, 50444, 54517, 50854, 51618, 76397, 55038, 52587, 50896, 51386, 51013, 51340, 51459, 50870, 54904, 50854, 51647, 50928, 54904, 54424, 78154, 50870, 54904, 58223, 51190, 51459, 51129, 61163, 56082, 51155, 56736, 51046, 53295, 62273, 58586, 50870, 54245, 60685, 54245, 72250, 52547, 50882, 51039, 50837, 51510, 64218, 50870, 54245, 65599, 52547, 56519, 73554, 54245, 57544, 51587, 51258, 50430, 52471, 50993, 58932, 58586, 50870, 54245, 50854, 51556, 50820, 54245, 62079, 51190, 51459, 50870, 54245, 54746, 54245, 50854, 51618, 76397, 56663, 51782, 51459, 50870, 54245, 50854, 51647, 50928, 54245, 50854, 51453, 64218, 50908, 54245, 58223, 51190, 51459, 51129, 50799, 51782, 51459, 50870, 54245, 50854, 51402, 50982, 54245, 75549, 58586, 51129, 51510, 61988, 50870, 54245, 50854, 51544, 50820, 54245, 57544, 78154, 51258, 51361, 58064, 50870, 54245, 50854, 51556, 50818, 54245, 54181, 51758, 51016, 51587, 51129, 54517, 50851, 50770, 50273, 51054, 50441, 51190, 51459, 50870, 54517, 54746, 54517, 50854, 51618, 76397, 55038, 52587, 51073, 56319, 56921, 50870, 54904, 50854, 51647, 50928, 54904, 54424, 78154, 50870, 54904, 58223, 51190, 51459, 51129, 61163, 55198, 51155, 54484, 51046, 51717, 51622, 52250, 61401, 59805, 50870, 54245, 60685, 54245, 75549, 53899, 51587, 50870, 54245, 53906, 52321, 50818, 54245, 50854, 51361, 61988, 50870, 54245, 56529, 54245, 50854, 70960, 55201, 51587, 50870, 54245, 50854, 51180, 50870, 54245, 56888, 51587, 56663, 52321, 58906, 50870, 54245, 57622, 54245, 50854, 51453, 61988, 50908, 54245, 58223, 51587, 51129, 51755, 51139, 59520, 50870, 79151, 53501, 54245, 60685, 54245, 75549, 61988, 64024, 51587, 50870, 54245, 53906, 52321, 50846, 54245, 57544, 51587, 51258, 50430, 52547, 50882, 51361, 61988, 50870, 54245, 56529, 54245, 68412, 52547, 55381, 51758, 50896, 51222, 51016, 52321, 58906, 51129, 54517, 58666, 51587, 50870, 54517, 70532, 52471, 51653, 51180, 50870, 54517, 56888, 51587, 55038, 52587, 50896, 51386, 51013, 52321, 58906, 50870, 54904, 57622, 54904, 50854, 51453, 61988, 50870, 54904, 58223, 51587, 51129, 61163, 56082, 51155, 54484, 51046, 51717, 51075, 52821, 52321, 55274, 50870, 54245, 60685, 54245, 72250, 52547, 50882, 51039, 53899, 51587, 50870, 54245, 65599, 52547, 56519, 52321, 50818, 54245, 57544, 51587, 51258, 50430, 52471, 50993, 51361, 61988, 50870, 54245, 56529, 54245, 50854, 70960, 55201, 51587, 50870, 54245, 50854, 51180, 50870, 54245, 56888, 51587, 56663, 52321, 58906, 50870, 54245, 57622, 54245, 54424, 58413, 61988, 50908, 54245, 50874, 53206, 63292, 51129, 51755, 53989, 51041, 59520, 50870, 54245, 60685, 50816, 50870, 54245, 75549, 50371, 52388, 58064, 64024, 50816, 76397, 50870, 54245, 53906, 58809, 52465, 50846, 54245, 57544, 51224, 58250, 57617, 50816, 52465, 61988, 50870, 54245, 56529, 79831, 54245, 54181, 51758, 51016, 51222, 51013, 51935, 52082, 51437, 58906, 51129, 54517, 50851, 53525, 76397, 50870, 54517, 54746, 50816, 52223, 50870, 54517, 56888, 50816, 61682, 55038, 52587, 51073, 51386, 51013, 58809, 51139, 58906, 50870, 54904, 50854, 54706, 50891, 54904, 54424, 58413, 61988, 50870, 54904, 50874, 53206, 64678, 51129, 61163, 51427, 52364, 50806, 51262, 51043, 51355, 51043, 51630, 51363, 61401, 59805, 53738, 52673, 50873, 51288, 50812, 68135, 51075, 50887, 52292, 50890, 52242, 51559, 53899, 52660, 50948, 51262, 50837, 74746, 52573, 54352, 58064, 52966, 52364, 51112, 54680, 54013, 52292, 53644, 52660, 50924, 51262, 51351, 51355, 51241, 51630, 51134, 51046, 51103, 75257, 51288, 55755, 51750, 61988, 53115, 52660, 51173, 52364, 51227, 52292, 50890, 52242, 53309, 51179, 54905, 52573, 53743, 52573, 54109, 51239, 54914, 52573, 51178, 52292, 51100, 52242, 72326, 52660, 50936, 52364, 52504, 51139, 53173, 52887, 50893, 52673, 50805, 52573, 50855, 52242, 50855, 52292, 53243, 52771, 50863, 64766, 51167, 52842, 50805, 51195, 51177, 51543, 51121, 51262, 50901, 52321, 58064, 53738, 52277, 50805, 58152, 63902, 51843, 50840, 52443, 50836, 52292, 51421, 53991, 53149, 50821, 79527, 51262, 53735, 58064, 52966, 52842, 50991, 54680, 54660, 52292, 50887, 52443, 54215, 53149, 50821, 51262, 51295, 51543, 51115, 51195, 51318, 51348, 51127, 51344, 50918, 51843, 55755, 51750, 61988, 55799, 52573, 53040, 53149, 51500, 52842, 51364, 52443, 50833, 52292, 53841, 51179, 52986, 52573, 53669, 51239, 54914, 52573, 51095, 52292, 51095, 52443, 65504, 53149, 51500, 54680, 53173, 52573, 50855, 52292, 50836, 52443, 53933, 62653, 55569, 50835, 60139, 51379, 52277, 50795, 51350, 51101, 51250, 50901, 51536, 51212, 52453, 75533, 53738, 52842, 50977, 51063, 50833, 57760, 51211, 50833, 52049, 50809, 51975, 51559, 59136, 51250, 54316, 52587, 50921, 52740, 55642, 58064, 52966, 52277, 76927, 54013, 51975, 50854, 52049, 66428, 51350, 51310, 51536, 51310, 51250, 51391, 50432, 52587, 50882, 52842, 50849, 51143, 54376, 51750, 61988, 55799, 52740, 52766, 52587, 51160, 52277, 50795, 51143, 51013, 78802, 51288, 50849, 52049, 50859, 51975, 50878, 52455, 53114, 52842, 50849, 51211, 50845, 64671, 52740, 54169, 51239, 54914, 52292, 51158, 52049, 51158, 51975, 64860, 52587, 51021, 52277, 76927, 53173, 52587, 50924, 52842, 50849, 52740, 50855, 52049, 50809, 51975, 53933, 52771, 50863, 62640, 51175, 52350, 50952, 51250, 50845, 51780, 50974, 51630, 51212, 52321, 58064, 53738, 52350, 50910, 51063, 50836, 51219, 50887, 51329, 50813, 52797, 50890, 52044, 50836, 51970, 50422, 51250, 50820, 51780, 50835, 51630, 56037, 51995, 50830, 52049, 53669, 58064, 52966, 52350, 53030, 51139, 54660, 52797, 50887, 52044, 52810, 51995, 50952, 51250, 51134, 51780, 51134, 51630, 51241, 51063, 51417, 51329, 51535, 51219, 55855, 51750, 61988, 55799, 52049, 52950, 51995, 51290, 52277, 50795, 51075, 51191, 52797, 54020, 51179, 52986, 52842, 51013, 52049, 53669, 51239, 54914, 52049, 51175, 52797, 51173, 52044, 64860, 51995, 50865, 54680, 53173, 52475, 50910, 52049, 50836, 52797, 50884, 52044, 55459, 51467, 50863, 53206, 60634, 51630, 51212, 51262, 51212, 51355, 51101, 61163, 51427, 52364, 50893, 52453, 61988, 53738, 52673, 50901, 51155, 50859, 51046, 50859, 51075, 50859, 52292, 50880, 52242, 50855, 51842, 50422, 79641, 51355, 53109, 52660, 50948, 52573, 52773, 58064, 52966, 52364, 50991, 52573, 53889, 51139, 54013, 52292, 50890, 52242, 59833, 51262, 51351, 51355, 51241, 51630, 51351, 50432, 52660, 50924, 51155, 51446, 53488, 52573, 53243, 51750, 61988, 55799, 52573, 53442, 52660, 51173, 52364, 51073, 51046, 51294, 51075 ]

[ 0, 713, 14899, 5175, 3495, 2214, 6, 278, 11, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 1931, 21683, 10, 33928, 8, 20425, 16464, 4, 20, 1076, 560, 31365, 25999, 1239, 5, 483, 6, 7513, 30, 2382, 3459, 8, 81, 9756, 29589, 6, 10, 3152, 6757, 6, 8, 10, 11577, 20535, 2810, 4, 20, 33301, 30853, 23, 41, 12447, 1001, 20889, 9, 18461, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 4246, 230, 6, 211, 119, 401, 6, 8, 2060, 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 ]

[ 56236, 50796, 50444, 51652, 50883, 51643, 50883, 52113, 50880, 51069, 54554, 51667, 50883, 51633, 50883, 51993, 50883, 51096, 54353, 51721, 50880, 51633, 50880, 53179, 50880, 51205, 50882, 51755, 52050, 52885, 51031, 51721, 52500, 52113, 52500, 52372, 52500, 71155, 52317, 54153, 52328, 51264, 52836, 53520, 54753, 54834, 51694, 51759, 50895, 50964, 60493, 50852, 52950, 50816, 55498, 50964, 52940, 69591, 65974, 51899, 51759, 51031, 50964, 52193, 69591, 69948, 56703, 51759, 51031, 51667, 50921, 51633, 50921, 51993, 50921, 52463, 51692, 52906, 50839, 51652, 50883, 51643, 50883, 52113, 50883, 50964, 50817, 51694, 51759, 51031, 51667, 50880, 51633, 50883, 51993, 50880, 50964, 52030, 50852, 50846, 51652, 50883, 51643, 50883, 52200, 53294, 58393, 51031, 50964, 52940, 63360, 51667, 50883, 51633, 50880, 51993, 50880, 72035, 51899, 55498, 51096, 55273, 60936, 50818, 51652, 53898, 51721, 53898, 52113, 53898, 70593, 52317, 51151, 52328, 51353, 52836, 51307, 54753, 51353, 51755, 52050, 51759, 51031, 73185, 52906, 50841, 50964, 50962, 51694, 51759, 51031, 50964, 59959, 50852, 53116, 58393, 50949, 50964, 52267, 62957, 71155, 51899, 51759, 54210, 50852, 50846, 69948, 56703, 51759, 50949, 52317, 51714, 51982, 51945, 52463, 51894, 50420, 50964, 50817, 51694, 55498, 50964, 54684, 69386, 50964, 52444, 58393, 51031, 50964, 52940, 63970, 50839, 51652, 50883, 51643, 50883, 52113, 50880, 60378, 51899, 51759, 51031, 51667, 50883, 51633, 50883, 51993, 50883, 51096, 55273, 62686, 50895, 52200, 50883, 53179, 50883, 70593, 56703, 52885, 50961, 51721, 51469, 52113, 51469, 52372, 51469, 65974, 52317, 51714, 52328, 51353, 52836, 51894, 54753, 51945, 50420, 50964, 50817, 51694, 55498, 50964, 54684, 71973, 50964, 52565, 50816, 55498, 50964, 52940, 56345, 71155, 51899, 51759, 55891, 56345, 69948, 56703, 51759, 50949, 51667, 50921, 51633, 50921, 51993, 50921, 52317, 51518, 51982, 51486, 52463, 51486, 52906, 50828, 50964, 50949, 51694, 51759, 50949, 51667, 50921, 51633, 50921, 51993, 50921, 50964, 54179, 69591, 51652, 50880, 51643, 50880, 52113, 50880, 50964, 53813, 50816, 55498, 50964, 52940, 56345, 51831, 50880, 51633, 50880, 72035, 51899, 51759, 51031, 51096, 52325, 62686, 50841, 51652, 51469, 51643, 51469, 52113, 51469, 72035, 52317, 51353, 51829, 50854, 52328, 51307, 52836, 51264, 54753, 51264, 56703, 55498, 65974, 52906, 50839, 65974, 51694, 51759, 51031, 50964, 60493, 50852, 53116, 58393, 51031, 50964, 52267, 73554, 57951, 51899, 51759, 50961, 50964, 52349, 62957, 50964, 51066, 56703, 51759, 50949, 51982, 51692, 52463, 51353, 55193, 51486, 52906, 50839, 50964, 50949, 51694, 51759, 51031, 50964, 59959, 50852, 53116, 58393, 50949, 50964, 52940, 63360, 60378, 51899, 55498, 68427, 51829, 51056, 53329, 51267, 50456, 55525, 50895, 78247, 61332, 50949, 51368, 50930, 51350, 50911, 51921, 52761, 50832, 50839, 51368, 50820, 52111, 50841, 51368, 52437, 50832, 50949, 51368, 50811, 51350, 51010, 51999, 52925, 50832, 50841, 52224, 53116, 50832, 50949, 51368, 50828, 52260, 53044, 50832, 50839, 51436, 59932, 50883, 52283, 52802, 50832, 50817, 52145, 53268, 50832, 50828, 51265, 51500, 51223, 51235, 52215, 50839, 61332, 50817, 51921, 53223, 50832, 50834, 51425, 50818, 51265, 50828, 52111, 52992, 50832, 51031, 51265, 50880, 51223, 50883, 51999, 52667, 50832, 50841, 52224, 52950, 50832, 51031, 52260, 53041, 50832, 50841, 51425, 50828, 51265, 50895, 52283, 52725, 50832, 50817, 51265, 50949, 51223, 50890, 52145, 52881, 50832, 50841, 52007, 50949, 51195, 50895, 52215, 50839, 61332, 50949, 51368, 50823, 51350, 50806, 51921, 52761, 50832, 50839, 52111, 50841, 51368, 53150, 50832, 50949, 51368, 50817, 51350, 50930, 51999, 52925, 50832, 50841, 52224, 53116, 50832, 50949, 51368, 50817, 51350, 50884, 52260, 53044, 50832, 50839, 51436, 50817, 51195, 51031, 52283, 52802, 50832, 50817, 52145, 53268, 50832, 50828, 51265, 51932, 51223, 51603, 52215, 50839, 61332, 50817, 51921, 53223, 50832, 50834, 51425, 50841, 52111, 52992, 50832, 51031, 51223, 51031, 51999, 52667, 50832, 54665, 50816, 51625, 52950, 50816, 51625, 51031, 53525, 51903, 53041, 50816, 52683, 54926, 50816, 51625, 50820, 51899, 51625, 54085, 50816, 51625, 52881, 50816, 51625, 50841, 53206, 51625, 50839, 51755, 52050, 52885, 51031, 50876, 51300, 56372, 51593, 51291, 51694, 51759, 50895, 50964, 50993, 51020, 76334, 50962, 51403, 56257, 69591, 50712, 50280, 60920, 50816, 55498, 50876, 51454, 50964, 50817, 51593, 51048, 56960, 50839, 71155, 51899, 51759, 51031, 50877, 50949, 51020, 76334, 50962, 51403, 51010, 51323, 52485, 50852, 68128, 51454, 50964, 50993, 51593, 51048, 56703, 51759, 51031, 52906, 65172, 50949, 50964, 50949, 51323, 50809, 51694, 51759, 51031, 71155, 51023, 76334, 50962, 51530, 50962, 50712, 50280, 52726, 50852, 50846, 54761, 50949, 50712, 50280, 51300, 50435, 52372, 54968, 58393, 51031, 56056, 50949, 50964, 55092, 54761, 54586, 63360, 52372, 50949, 51069, 55373, 53179, 50962, 51899, 55498, 51993, 50962, 68427, 51023, 72738, 50880, 51530, 61702, 52200, 56354, 60936, 50818, 51643, 50962, 72035, 51755, 52050, 51759, 51031, 50876, 51496, 57951, 51593, 51291, 52906, 50841, 65974, 51694, 51759, 51031, 71155, 51020, 76334, 51010, 51403, 52726, 62957, 50712, 50280, 60920, 58393, 50949, 50876, 51090, 65974, 51593, 51112, 56960, 50841, 71155, 51899, 51759, 50949, 50877, 50930, 51020, 50880, 51092, 50962, 51403, 51010, 51323, 52485, 50852, 77360, 51090, 69948, 51593, 51112, 56703, 51759, 54892, 50964, 50817, 51323, 72335, 55498, 71155, 51023, 50880, 51092, 50962, 51530, 50930, 50712, 50280, 52119, 69386, 54761, 50961, 50712, 50280, 51029, 50435, 52372, 55622, 58393, 51031, 56056, 50882, 50964, 55092, 54761, 56843, 63970, 50839, 52372, 50961, 51069, 55373, 53179, 50930, 51899, 51759, 51031, 51993, 50930, 68427, 51023, 71701, 50961, 51530, 63756, 52200, 55577, 62686, 50895, 51643, 50930, 51205, 57239, 51721, 50961, 56703, 52885, 50961, 50876, 52195, 65974, 51593, 60055, 50964, 50817, 51694, 55498, 69948, 51020, 50880, 51092, 50962, 51403, 55736, 71973, 50712, 50280, 60920, 50816, 55498, 50876, 51566, 50964, 50817, 51593, 65455, 56345, 71155, 51899, 51759, 51031, 50877, 50961, 51020, 74660, 50811, 51403, 51010, 51323, 52485, 56345, 50876, 51566, 69948, 51593, 51048, 56703, 51759, 50949, 52906, 63864, 50961, 50964, 50817, 51323, 50809, 51694, 51759, 50949, 71155, 51023, 72738, 50930, 51530, 50880, 50712, 50280, 52726, 69591, 54761, 50961, 50712, 50280, 51300, 50435, 52372, 55622, 50816, 55498, 56056, 50961, 50964, 55092, 54761, 55186, 56345, 52372, 50961, 51069, 61443, 53179, 50930, 51899, 51759, 51031, 51993, 50930, 68427, 51023, 50883, 80061, 51530, 62172, 52200, 55577, 62686, 50841, 51643, 50930, 72035, 56703, 55498, 50876, 51496, 65974, 51593, 50983, 52906, 50839, 65974, 51694, 51759, 51031, 69948, 51020, 72738, 50880, 51403, 56629, 62957, 50712, 50280, 60920, 58393, 51031, 50876, 51090, 50964, 50817, 51593, 51048, 56960, 50834, 56372, 51899, 51759, 50961, 50877, 50930, 51020, 72738, 51010, 51403, 51010, 51323, 52349, 62957, 50902, 51090, 71155, 51593, 51112, 56703, 51759, 50949, 52906, 65172, 50961, 50964, 50817, 51323, 51620, 58393, 51031, 71155, 51023, 74718, 50880, 51530, 50880, 50712, 50280, 56257, 62957, 54761, 50961, 50712 ]

[ 0, 250, 2635, 12, 20764, 1619, 3495, 2214, 11, 211, 538, 6, 4246, 10, 6755, 12547, 6, 21979, 8, 3459, 29589, 6, 8, 21072, 4, 20, 2125, 16, 17407, 30, 10, 15352, 30054, 8, 1372, 6711, 6, 19, 10, 19448, 8, 11653, 13569, 9862, 4, 20, 1049, 33215, 16739, 6, 272, 6, 83, 6, 8, 211, 6, 17992, 7, 5, 2214, 18, 1374, 619, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50799, 52105, 51544, 50839, 51570, 53068, 52105, 61108, 51072, 51311, 51055, 52554, 50991, 52146, 51255, 50426, 51207, 51138, 51311, 50925, 50960, 50948, 66694, 52554, 51110, 52146, 51377, 50432, 51311, 50833, 50960, 55632, 51207, 50895, 51311, 50809, 65498, 50929, 50839, 52554, 52729, 73500, 50986, 51033, 50960, 51048, 50929, 51189, 51891, 50911, 52146, 75658, 51207, 50925, 51311, 50924, 52554, 53562, 51207, 51138, 50986, 51030, 50960, 50825, 51891, 51100, 52146, 57313, 73500, 50960, 50923, 63755, 52146, 50940, 60533, 51407, 52146, 51480, 50426, 51131, 51029, 50960, 51274, 51078, 51157, 50947, 51496, 51067, 51191, 52146, 51576, 50438, 52146, 51328, 50441, 51078, 52794, 50444, 61811, 66253, 50947, 51008, 51067, 57904, 51444, 50809, 51131, 54276, 51504, 50803, 51997, 50803, 52146, 51454, 50453, 52028, 50809, 52554, 53581, 51131, 50952, 51997, 64959, 51707, 50836, 61108, 51072, 51311, 51055, 52554, 50991, 52146, 51255, 50426, 51207, 51138, 51311, 50925, 50960, 50948, 66694, 52554, 51110, 52146, 51377, 50432, 51311, 50833, 50960, 55632, 51207, 50895, 51311, 50809, 65498, 50929, 50839, 52554, 52729, 73500, 50986, 51033, 50960, 51048, 50929, 51189, 51891, 50911, 52146, 75658, 51207, 50925, 51311, 50924, 52554, 53562, 51207, 51138, 50986, 51030, 50960, 50825, 51891, 51100, 52146, 57313, 73500, 50960, 50923, 63755, 52146, 50940, 60533, 51072, 52146, 51480, 50417, 51113, 54055, 64308, 57104, 51444, 51290, 51131, 51048, 69086, 51078, 51110, 51067, 51121, 52146, 51576, 50432, 50960, 51753, 50435, 51078, 51142, 51067, 58346, 51444, 50942, 51131, 50925, 52146, 51328, 50441, 72259, 51078, 51423, 51067, 51642, 50444, 52888, 50893, 51444, 50983, 51131, 50983, 50447, 50960, 54915, 53873, 50806, 66124, 51078, 51060, 51067, 64713, 54992, 51138, 50960, 57326, 72990, 51078, 50809, 62342, 50799, 58635, 51286, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 57026, 51370, 50891, 50960, 51932, 50426, 58635, 50911, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 54992, 51237, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50879, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 54992, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 53873, 51226, 51983, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 64181, 51078, 51100, 51707, 50897, 52146, 58175, 58635, 50924, 53358, 50891, 50947, 51603, 51997, 50937, 52146, 58761, 59634, 50805, 51983, 69359, 53154, 50844, 50799, 61656, 50893, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 59634, 51575, 50891, 50960, 51932, 50426, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 57026, 50924, 51983, 50960, 59067, 57026, 50917, 51983, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50845, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 57026, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 54992, 51370, 50891, 50960, 50882, 52162, 50959, 50799, 58635, 50967, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 64181, 51078, 51100, 51707, 50897, 52146, 58175, 53873, 50806, 53358, 50891, 50947, 51603, 51997, 50937, 52146, 57414, 54992, 51138, 51983, 69359, 53154, 50987, 50799, 58635, 51286, 51983, 51207, 51009, 51707, 51025, 52146, 74523, 57026, 51370, 50891, 50960, 51932, 50426, 58635, 50911, 53358, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50432, 54992, 51237, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 61255, 58635, 50879, 51983, 50960, 51072, 51707, 50937, 52146, 58248, 54992, 50849, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 66225, 53873, 51226, 51983, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 51012, 51570, 50891, 51444, 52512, 50960, 51300, 53154, 50866, 52146, 50987, 50441, 52888, 55933, 58635, 51864, 50891, 51078, 51100, 51707, 50897, 52146, 76173, 54992, 54208, 53873, 53841, 51392, 50891, 50947, 51603, 51997, 50937, 52146, 75830, 54992, 50890, 51453, 50891, 69359, 53154, 50844, 50799, 58635, 51111, 51983, 51207, 51009, 51707, 51025, 52146, 51124, 51039, 50891, 50960, 51932, 50423, 54992, 52329, 53873, 56081, 51392, 50891, 50929, 51059, 51707, 51109, 52146, 51411, 50429, 54992, 53810, 53873, 50942, 51983, 50960, 50967, 51570, 50891, 51444, 51009, 53154, 50937, 52146, 50987, 64181, 50960, 51072, 51707, 50937, 52146, 58248, 53358, 50891, 50947, 50993, 53154, 51100, 52146, 51162, 51453, 50891, 50960, 50882, 52162, 50959, 50799, 51983, 51725, 51527, 50986, 51472, 52181, 51109, 52146, 51480, 51039, 50891, 50998, 63559, 53358, 50891, 50929, 51054, 52181, 51480, 52146, 51534, 51361, 50891, 50998, 63982, 58635, 51021, 51983, 51444, 52512, 50960, 51009, 53154, 50866, 52146, 61255, 59634, 51021, 51983, 51078, 51100, 51707, 50897, 52146, 58175, 59634, 50823, 53358, 50891, 50947, 51454, 51997, 50937, 52146, 57414, 61656, 51090, 53358, 50891, 51078, 50938, 53154, 50987, 51755, 51392, 50825, 51207, 51059, 50960, 51014, 50929, 51066, 51076, 51345, 50415, 51137, 51285, 52554, 51013, 53560, 51124, 65945, 72259, 50421, 59634, 55447, 59634, 50893, 54680, 50825, 50960, 50975, 50929, 50975, 51076, 51167, 51133, 52445, 53560, 68178, 57026, 50924, 53026, 50825, 51207, 71758, 68233, 52554, 50917, 54683, 52195, 57026, 50911, 53358, 50825, 51725, 51300, 50986, 51021, 50929, 50823, 51891, 50849, 53560, 60021, 58635, 50879, 51468, 51311, 51030, 50929, 51267, 52554, 70083, 53560, 56060, 58635, 50924, 54680, 50825, 50986, 50860, 51891, 71250, 53560, 61898, 54992, 51291, 53026, 50825, 62875, 50929, 51101, 52146, 52097, 53560, 51189, 50458, 51288, 52208, 51622, 52379, 50459, 51529, 51036, 50460, 51075, 51036, 50461, 51155, 51184, 53447, 50824, 53358, 60008, 50828, 51444, 51072, 65945, 50960, 50936, 71172, 50825, 51444, 50980, 60217, 57504, 50947, 51286, 50427, 51181, 52030, 54680, 50825, 50960, 63937, 51181, 53785, 51181, 59557, 50825, 50960, 50921, 51078, 51030, 50947, 51030, 51658, 51392, 50825, 51444, 50952, 50439, 51334, 50860, 51118, 50860, 53525, 50961, 50960, 51354, 51078, 51167, 50947, 51215, 50442, 51181, 52940, 51910, 51030, 51590, 50806, 53358, 50825, 51444, 51072, 51595, 63233, 51349, 51192, 51229, 52677, 51139, 50825, 50960, 51735, 51078, 51566, 50947, 51237, 57596, 54706, 54450, 51910, 50952, 51209, 51021, 53358, 55147, 50961, 51444, 50803, 51401, 51030, 53053, 51072, 51263, 51551, 51063, 51496, 53358, 58168, 50828, 51207, 51066, 50960, 50823, 51076, 50980, 51401, 52871, 50899, 53108, 50311, 51819, 52517, 50802, 51813, 50802, 51478, 51427, 51155, 51226, 51931, 50960, 69817, 52888, 56346, 50973, 76564, 52525, 50896, 52086, 51054, 51245, 50914, 51075, 51552, 54680, 50834, 51207, 51066, 50960, 50879, 50929, 51505, 51076 ]

[ 0, 250, 765, 37903, 9, 5175, 25771, 930, 4246, 41, 3459, 8669, 6, 13305, 6, 6755, 12547, 6, 21072, 6, 8, 31391, 1672, 9590, 6, 2351, 10, 15352, 30054, 8, 19448, 5466, 19, 10, 11602, 9, 2365, 8, 3366, 219, 4785, 6, 278, 11, 5, 762, 9, 272, 3694, 19, 10, 20889, 9, 14881, 163, 5683, 8, 10, 204, 73, 306, 86, 6543, 6, 8200, 10, 881, 21263, 9, 5, 163, 43531, 1176, 406, 8, 1918, 406, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57739, 50791, 77181, 50800, 53028, 70829, 77181, 52513, 52052, 59550, 51814, 57891, 51487, 52116, 51339, 51052, 57465, 51430, 62103, 51146, 53532, 51062, 58268, 51081, 58403, 50999, 52163, 50951, 57303, 50931, 56575, 50968, 52937, 50902, 58055, 56245, 50461, 50906, 50817, 55881, 51732, 50956, 51732, 50861, 51732, 50906, 51732, 50902, 51732, 51107, 51496, 52481, 53501, 51772, 50821, 78993, 51408, 50821, 51390, 50821, 54280, 50911, 51533, 53501, 52055, 51104, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 59964, 51620, 50660, 50350, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51165, 51496, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 54042, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 73159, 51551, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51088, 55362, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 50799, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51620, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 50956, 56893, 58503, 57129, 50802, 52481, 50894, 51107, 50911, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 51533, 52964, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 54206, 52442, 50871, 52442, 50877, 52442, 50876, 52442, 51093, 51496, 52371, 56073, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 50821, 52700, 50911, 51181, 56073, 52055, 51104, 56191, 51322, 69635, 77180, 50800, 51334, 51835, 51322, 69635, 77180, 50800, 51334, 51049, 54080, 51322, 69635, 77180, 50800, 51334, 50800, 52700, 59964, 51620, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 55104, 51322, 69635, 77180, 50800, 51334, 51628, 51113, 51496, 51322, 69635, 77180, 50800, 51334, 50800, 52700, 54042, 54125, 51322, 69635, 77180, 50800, 51334, 52154, 51724, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 56050, 51322, 69635, 77180, 50800, 51334, 51820, 51322, 69635, 77180, 50800, 51334, 51049, 54672, 51322, 69635, 77180, 50800, 51334, 56392, 50448, 51209, 71540, 51674, 55254, 51154, 52266, 51229, 50961, 51408, 50961, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 64380, 51590, 50961, 51334, 79857, 51934, 50961, 51390, 57886, 52031, 50961, 51924, 50961, 51322, 69635, 77180, 50800, 51334, 57924, 51893, 50961, 53076, 70896, 52004, 54450, 51209, 50961, 51322, 69635, 77180, 50800, 51334, 55701, 50457, 51674, 65083, 51229, 50961, 51408, 59426, 51590, 50961, 51334, 50961, 51322, 69635, 77180, 50800, 51334, 56392, 50460, 51934, 50961, 51390, 67327, 52031, 50961, 51924, 50961, 50799, 51893, 50961, 53076, 50961, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 52589, 55121, 63586, 52004, 59757, 51322, 69635, 77180, 50800, 51334, 51835, 51322, 69635, 77180, 50800, 51334, 51049, 54080, 51322, 69635, 77180, 50800, 51334, 52154, 51620, 50997, 58813, 56798, 57650, 50802, 52602, 50923, 51154, 50911, 51113, 50911, 52000, 50806, 51322, 74348, 51727, 50923, 52055, 51104, 52686, 50900, 67898, 56893, 58503, 62748, 50882, 51165, 50882, 52143, 50923, 51451, 50821, 51772, 50821, 78993, 51408, 50821, 51338, 52964, 54125, 51451, 50800, 51772, 50800, 69787, 51408, 52154, 51724, 51165, 50911, 51451, 50800, 51772, 50800, 69787, 51408, 51730, 55121, 56050, 51451, 50800, 51772, 50800, 69787, 51408, 51820, 50899, 59237, 50803, 58336, 56245, 52371, 50894, 51113, 50882, 51093, 50882, 51093, 51541, 51322, 50821, 51256, 50821, 51229, 50821, 51334, 50821, 51181, 52964, 54672, 51322, 69635, 77180, 50800, 51334, 52154, 51757, 51322, 69635, 77180, 50800, 51334, 51730, 55121, 55982, 51322, 69635, 77180, 50800, 51334, 51754, 51322, 69635, 77180, 50800, 51334, 51049, 54421, 51322, 69635, 77180, 50800, 51334, 56392, 56178, 51732, 50861, 51732, 50906, 51732, 50902, 51732, 51107, 51496, 52481, 53501, 51426, 53601, 51088, 53601, 51772, 50821, 78993, 51408, 50821, 51390, 50821, 54280, 50911, 51533, 53501, 52055, 51104, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 59964, 51620, 50660, 50350, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51165, 51496, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 54280, 54042, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 73159, 51090, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51154, 50802, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51088, 50802, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 51107, 51795, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 50799, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56191, 51772, 50800, 69787, 51408, 50800, 51390, 51835, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54080, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51620, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55104, 51772, 50800, 69787, 51408, 50800, 51390, 51628, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54125, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51724, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 56050, 51772, 50800, 69787, 51408, 50800, 51390, 51820, 51772, 50800, 69787, 51408, 50800, 51390, 51049, 54672, 51772, 50800, 69787, 51408, 50800, 51390, 52154, 51757, 51093, 50802, 51772, 50821, 78993, 51408, 50821, 51390, 52589, 55121, 55982, 51772, 50800, 69787, 51408, 50800, 51390, 51754, 50956, 56893, 58503, 57129, 50802, 52481, 50894, 51426, 50911, 51088, 50911, 51107, 50802, 51772, 50800, 69787, 51408, 50800, 51390, 50800, 51533, 52964, 54421, 51772, 50800, 69787, 51408, 50800, 51390, 56392, 54206, 52442, 50871, 52442, 50877, 52442, 50876, 52442, 51093, 51496, 51251, 55362, 51154, 55362, 52371, 56073, 51154, 57676, 51322, 50821, 51256, 50821, 51229, 50821, 51334 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 5175, 3495, 2214, 19, 10, 1619, 16464, 6, 4246, 13305, 6, 6755, 12547, 6, 20535, 2810, 6, 21072, 6, 8, 23338, 33518, 1264, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 7212, 20889, 9, 13259, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 163, 428, 6, 274, 119, 1176, 406, 6, 163, 428, 6, 274, 6, 8, 230, 3639, 7, 63, 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, 0 ]

[ 56103, 51453, 62298, 52746, 56300, 50459, 51706, 55068, 53842, 50461, 51198, 54153, 51099, 56094, 53870, 55482, 51209, 50833, 51408, 50833, 51390, 50833, 54280, 52149, 52404, 51225, 51297, 50415, 51308, 55068, 50417, 73780, 51408, 50854, 51390, 54611, 51209, 50822, 73083, 51390, 53199, 63140, 73083, 51390, 51373, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 73083, 51390, 52658, 73083, 51390, 51373, 64568, 73083, 51390, 53330, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 51209, 50827, 51408, 50844, 51390, 53103, 73083, 51390, 51373, 63491, 51408, 50854, 51390, 53330, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 54424, 73083, 51390, 53330, 68248, 51209, 50822, 51408, 50833, 51390, 52938, 51126, 69853, 50833, 51408, 50833, 51390, 53530, 55137, 51297, 50417, 51209, 50822, 51408, 50854, 51390, 54611, 51408, 50854, 51390, 53330, 63140, 51408, 50854, 51390, 52938, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51209, 50822, 51408, 50854, 51390, 53911, 51408, 50854, 51390, 53330, 64568, 51408, 50854, 51390, 52938, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 54746, 52746, 51274, 73083, 51390, 53330, 63491, 51408, 50854, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 51209, 50874, 51408, 50854, 51390, 66145, 51198, 51212, 50455, 51706, 50937, 51099, 61327, 51105, 51328, 51209, 50827, 51408, 50854, 51390, 52938, 68248, 51209, 50822, 51408, 50854, 51390, 52938, 51126, 52288, 53233, 51256, 50833, 51229, 50833, 51334, 50833, 52700, 52024, 52404, 51225, 51297, 50415, 51280, 51419, 52176, 54143, 51144, 51241, 51119, 51419, 50417, 51256, 50844, 51229, 50854, 51334, 53932, 51256, 50874, 51229, 50810, 51334, 53330, 63140, 51229, 50854, 51334, 52938, 57203, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 68762, 51256, 50874, 51229, 50810, 51334, 53911, 51153, 51159, 51144, 51991, 51280, 50980, 51229, 50810, 51334, 53330, 64568, 51256, 50822, 51229, 50854, 51334, 52938, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51256, 50874, 51229, 50810, 51334, 54746, 51280, 51244, 51119, 51790, 51256, 50874, 51229, 50844, 51334, 51373, 63491, 51256, 50822, 51229, 50854, 51334, 53330, 60801, 51256, 50833, 51229, 50833, 51334, 55190, 63464, 54139, 51256, 50827, 51229, 50810, 51334, 54424, 51256, 50874, 51229, 50810, 51334, 53330, 68248, 51229, 50854, 51334, 53330, 51126, 76308, 50833, 51229, 50833, 51334, 53530, 55137, 51297, 50417, 51256, 50822, 51229, 50810, 51334, 54611, 51229, 50854, 51334, 53330, 63140, 51229, 50854, 51334, 53330, 57203, 51096, 51423, 51256, 50833, 51229, 50833, 51334, 50833, 51251, 50866, 51887, 50845, 52602, 51212, 51113, 51212, 50801, 52716, 51128, 50427, 53038, 51100, 76092, 51198, 69353, 51256, 50874, 51229, 50810, 51334, 53911, 50964, 51277, 51229, 50854, 51334, 50854, 52143, 50959, 51699, 50955, 51426, 50955, 51165, 55325, 71598, 51964, 50924, 51561, 50910, 51308, 78885, 51256, 50844, 51229, 50833, 51334, 53330, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 54746, 50927, 51309, 51229, 50854, 51334, 50854, 52371, 50878, 51883, 50866, 51154, 50978, 51093, 61098, 51128, 50445, 51153, 50937, 52176, 50795, 51144, 59414, 51256, 50822, 51229, 50854, 51334, 53330, 60801, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 70596, 51256, 50874, 51229, 50854, 51334, 54424, 51229, 50810, 51334, 53330, 68248, 51256, 50827, 51229, 50854, 51334, 52938, 51126, 79921, 52570, 51198, 52392, 51099, 52149, 51105, 55116, 51209, 50854, 51408, 50833, 51390, 50833, 54280, 51492, 51638, 52829, 51088, 52829, 51251, 52829, 51154, 52720, 52404, 51225, 51297, 50417, 51209, 50822, 51408, 50854, 51390, 54611, 73083, 51390, 53330, 63140, 51408, 50854, 51390, 53330, 57203, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51408, 50844, 51390, 53911, 51308, 50918, 51408, 50844, 51390, 53330, 64568, 51209, 50822, 51408, 50833, 51390, 52938, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 53103, 73083, 51390, 53330, 51128, 50445, 51088, 51419, 50447, 51209, 50822, 51408, 50833, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 52863, 51198, 51142, 77480, 51408, 50822, 51390, 51373, 68248, 51408, 50854, 51390, 52938, 51126, 50460, 51107, 51677, 69853, 50833, 51408, 50833, 51390, 53530, 55137, 51297, 50415, 51275, 51158, 51198, 51060, 50417, 73083, 51390, 54611, 73083, 51390, 53330, 63140, 51209, 50874, 51408, 50833, 51390, 52938, 51126, 50424, 51198, 51939, 51153, 73969, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 68762, 51209, 50827, 51408, 50854, 51390, 53911, 51308, 51742, 51408, 50844, 51390, 53330, 64568, 51408, 50854, 51390, 53330, 55666, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 74593, 73083, 51390, 54746, 73083, 51390, 53330, 51128, 50445, 51093, 51312, 50447, 51408, 50854, 51390, 52938, 60801, 51209, 50833, 51408, 50833, 51390, 53530, 52716, 70596, 73083, 51390, 70566, 51107, 51480, 50456, 51105, 51328, 51408, 50854, 51390, 53330, 68248, 51408, 50854, 51390, 52938, 51126, 70781, 51377, 52176, 51293, 51144, 51189, 50927, 54143, 51256, 50833, 51229, 50833, 51334, 50833, 52700, 51492, 51299, 56515, 51883, 56515, 52404, 51225, 51297, 50415, 51280, 51241, 50416, 51154, 52151, 50417, 51256, 50822, 51229, 50810, 51334, 53066, 51229, 50854, 51334, 53330, 63140, 51256, 50810, 51229, 50833, 51334, 52938, 51126, 50424, 51099, 51255, 50426, 51256, 50810, 51229, 50833, 51334, 53530, 52716, 68762, 51229, 50810, 51334, 53911, 51229, 50810, 51334, 53330, 71598, 51144, 51662, 51280, 52140, 51119, 51422, 50435, 51229, 50854, 51334, 52938, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 54746, 51229, 50810, 51334, 53330, 63491, 51229, 50854, 51334, 52938, 60801, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 70596, 51229, 50810, 51334, 50854, 51088, 51480, 50456, 51229, 50810, 51334, 53330, 68248, 51229, 50854, 51334, 51589, 51126, 76308, 50833, 51229, 50833, 51334, 50833, 51154, 51145, 52404, 51225, 51297, 50417, 51229, 50810, 51334, 54611, 51229, 50844, 51334, 53330, 63140, 51229, 50854, 51334, 53330, 57203, 51096, 51423, 51256, 50833, 51229, 50833, 51334, 50833, 52602, 51212, 51887, 51212, 51251, 51101, 51113, 78267, 52716, 51128, 50427, 51119, 51173, 53038, 51100, 51198, 69353, 51229, 50810, 51334, 52658, 50964, 51277, 51229, 50844, 51334, 50810, 52143, 50955, 51699, 50878, 51426, 50878, 51165, 56879, 71598, 51561, 50925, 51308, 50977, 51964, 75339, 51229, 50810, 51334, 51373, 55666, 51256, 50833, 51229, 50833, 51334, 53530, 52716, 74593, 51229, 50844, 51334, 53103, 50927, 51328, 51229, 50854, 51334, 50833, 52371, 50866, 51883, 50866, 51154, 50866, 51093, 55325, 51128, 50445, 79305, 52176, 50917, 51144, 69352, 51256, 50874, 51229, 50833, 51334, 52938, 60801, 51256, 50833, 51229, 50833, 51334, 50833, 51088, 53877, 52716, 51126, 50452, 51113, 67763, 51256, 50822, 51229, 50854, 51334, 70566, 51165, 59631, 51229, 50854, 51334, 53330, 71439, 51093, 50987, 50459, 51256, 50822, 51229, 50833, 51334, 52938, 78584, 51107, 53413, 53870, 55482, 51209, 50833, 51408, 50833 ]

[ 0, 250, 239, 12, 18261, 3152, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 81, 9756, 8, 30587, 29589, 6, 13305, 6, 17605, 9590, 6, 8, 21072, 4, 20, 33301, 16, 33200, 8, 17627, 17274, 6, 7630, 14805, 6453, 9, 11098, 8, 657, 4, 8504, 11, 5, 762, 9, 381, 538, 19, 10, 1769, 20889, 6, 5, 2214, 3905, 10, 33215, 16739, 9, 381, 6, 163, 6, 274, 10431, 119, 406, 6, 381, 6, 8, 163, 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 ]

[ 58402, 50450, 77312, 50799, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 55267, 52244, 50852, 51973, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52119, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 51428, 51858, 52116, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52163, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52152, 50803, 50799, 57139, 58147, 59838, 64198, 55096, 52221, 51858, 52244, 59054, 56182, 65115, 51499, 52472, 51973, 59054, 55555, 65115, 57300, 55096, 52108, 51858, 52119, 60273, 51288, 68453, 51029, 51529, 51029, 75503, 51323, 50889, 55096, 52221, 51858, 52057, 50852, 52284, 56044, 59793, 69885, 75121, 55096, 51428, 51858, 52116, 57139, 59054, 65115, 64198, 55096, 52108, 51858, 52163, 59054, 56044, 65115, 59793, 69885, 75121, 55096, 52152, 50803, 50799, 59054, 65115, 72218, 60993, 51571, 50889, 74683, 53930, 52221, 51858, 52244, 58147, 51219, 52319, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52163, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52152, 50803, 50799, 53930, 52221, 51858, 51858, 52244, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 51323, 52472, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 51219, 50846, 68143, 59793, 76715, 78700, 56718, 51404, 50846, 69885, 75121, 53930, 52108, 59177, 52163, 51219, 50846, 68143, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 52152, 50803, 50799, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 55267, 52244, 50852, 51973, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52119, 51219, 50846, 60993, 76715, 67368, 60273, 78700, 70857, 74683, 51499, 50889, 51404, 50846, 75503, 51323, 50889, 53968, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 51428, 51858, 52116, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52108, 51858, 52163, 51219, 50846, 54633, 58147, 56182, 56044, 59838, 59793, 58157, 63708, 51404, 50846, 69885, 75121, 53968, 52152, 50803, 50799, 57139, 58147, 59838, 64198, 55096, 52221, 51858, 52244, 59054, 56182, 65115, 51499, 52472, 51973, 59054, 55555, 65115, 57300, 55096, 52108, 51858, 52119, 60273, 51288, 68453, 51029, 51529, 51029, 75503, 51323, 50889, 55096, 52221, 51858, 52057, 50852, 52284, 56044, 59793, 69885, 75121, 55096, 51428, 51858, 52116, 57139, 59054, 65115, 64198, 55096, 52108, 51858, 52163, 59054, 56044, 65115, 59793, 69885, 75121, 55096, 52152, 50803, 50799, 59054, 65115, 72218, 60993, 51571, 50889, 74683, 53930, 52221, 51858, 52244, 58147, 51219, 52319, 51973, 55281, 54633, 58147, 59838, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 76715, 58230, 60273, 78700, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 58147, 68143, 59838, 59793, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 55281, 54633, 51155, 50824, 62608, 53930, 52108, 51858, 52163, 51219, 50846, 58230, 60273, 70857, 74187, 51404, 50846, 75503, 51323, 50889, 53930, 52152, 50803, 50799, 51885, 51029, 53930, 52221, 51858, 52244, 51219, 50846, 68143, 59793, 56718, 51404, 50846, 69885, 51323, 52472, 51973, 55281, 54633, 62608, 53930, 52108, 51858, 52119, 51219, 50846, 51219, 50817, 58230, 51046, 50824, 60273, 78700, 70857, 51288, 70931, 50889, 51404, 50846, 75503, 51323, 50889, 53930, 52221, 51858, 52057, 50852, 52284, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 51428, 51858, 52116, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 52108, 51858, 52163, 51219, 50846, 51219, 50817, 53488, 56840, 56044, 59838, 59793, 64741, 56718, 51404, 50846, 69885, 75121, 53930, 52152, 50803, 50799, 54633, 51278, 51732, 51219, 51732, 50965, 50802, 58157, 53968, 50983, 53005, 55267, 53113, 51529, 60037, 50802, 51823, 52201, 51973, 56044, 50965, 50824, 51404, 52504, 60107, 51529, 51623, 51854, 51623, 51823, 51623, 51746, 51623, 53968, 51428, 52010, 50438, 50965, 50802, 53968, 59770, 52284, 50989, 69793, 59758, 52677, 59690, 50916, 52442, 50791, 50803, 50799, 57139, 50899, 50802, 64198, 55096, 50983, 53005, 52010, 50420, 55555, 56044, 50899, 51795, 57300, 51404, 52201, 51973, 56182, 51499, 52504, 60107, 51219, 51264, 51288, 51264, 51404, 51264, 51323, 51264, 55096, 51428, 52010, 50438, 55096, 59770, 50803, 52129, 52010, 51899, 52010, 51453, 50803, 60652, 51141, 51278, 51141, 51046, 51141, 51040, 51352, 51571, 51141, 51580, 51141, 51200, 51141, 53930, 55157, 52010, 56440, 52448, 50803, 51694, 60107, 51219, 50846, 51219, 51538, 51288, 51264, 50916, 54217, 51404, 50846, 51404, 51538, 51323, 51264, 53930, 51428, 52010, 50438, 53930, 57068, 50803, 52129, 52010, 50450, 51040, 51732, 50816, 59690, 51086, 52448, 50803, 50799, 55281, 57116, 53930, 55157, 52010, 50420, 56044, 51027, 51732, 51404, 52201, 51973, 53488, 51200, 52504, 60107, 51219, 51623, 51288, 51623, 51404, 51623, 51323, 51623, 53930, 51428, 52010, 50438, 53930, 57068, 50803, 52129, 52010, 51899, 52010, 56672, 50803, 50799, 54633, 50965, 50802, 58157, 53968, 55157, 51520, 55267, 52244, 51529, 60037, 50802, 51823, 52201, 51973, 56044, 50965, 50802, 51404, 52504, 60107, 51529, 51623, 51854, 51623, 50965, 50802, 51823, 51623, 51746, 51623, 53968, 51428, 52010, 50438, 50965, 50802, 53968, 57068, 52284, 50989, 52299, 52010, 51899, 59690, 50916, 57838, 50803, 50799, 57139, 50899, 50802, 64198, 55096, 55157, 52010, 50420, 55555, 56044, 50899, 51184, 57300, 51404, 52201, 51973, 56182, 51499, 52504, 60107, 51219, 51264, 51288, 51264, 50916, 50802, 51404, 51264, 51323, 51264, 55096, 51428, 52010, 50438, 50989, 51029, 55096, 57068, 50803, 52129, 52010, 51899, 59690, 50916, 51732, 50791, 50803, 60652, 51141, 51278, 51141, 51046, 51141, 51086, 51732, 51571, 51141, 51580, 51141, 51200, 51141, 53930, 55157, 52010, 61683, 51732, 50791 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 21979, 8669, 6, 13305, 6, 21677, 32909, 6, 32909, 6, 8, 21072, 6, 278, 11, 5, 762, 9, 230, 538, 19, 10, 204, 73, 306, 86, 6543, 8, 10, 7212, 20889, 9, 727, 13410, 228, 2289, 6, 7630, 14805, 6453, 9, 657, 8, 26545, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 60859, 50839, 51768, 52742, 50903, 50825, 51955, 50839, 60859, 50825, 51768, 50825, 51658, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 50439, 51140, 51692, 51618, 69263, 51397, 51131, 51878, 51955, 51464, 50839, 51050, 55002, 60859, 66174, 51277, 50871, 59389, 56307, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50427, 51150, 51692, 50868, 51161, 51246, 51422, 59015, 51464, 50839, 51955, 66174, 51277, 50916, 58399, 50974, 51755, 54778, 50839, 51247, 51662, 50415, 51140, 51692, 50416, 50872, 51077, 51131, 51145, 60284, 51803, 51768, 51464, 73619, 51749, 58783, 51351, 59015, 61299, 74458, 50876, 58248, 50801, 54778, 50839, 51085, 52441, 50900, 51679, 50916, 51310, 50861, 51318, 50906, 51477, 50451, 51150, 51518, 50885, 52827, 51574, 51896, 50799, 59193, 53227, 50900, 51477, 51768, 61687, 51400, 50432, 69122, 50820, 66734, 50435, 50850, 50823, 50986, 50940, 51658, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50439, 51140, 51518, 50440, 50872, 51870, 51131, 51336, 51955, 51464, 50839, 60859, 50834, 51050, 73355, 60365, 59772, 54657, 69122, 65858, 50930, 50960, 61083, 50850, 50836, 50986, 53803, 50801, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50427, 51150, 51518, 50428, 50847, 51356, 51246, 51127, 51556, 52950, 59193, 50839, 51955, 52920, 50850, 50817, 50986, 60203, 50992, 50884, 50986, 61994, 50847, 50812, 51246, 50867, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 51131, 56075, 51140, 51518, 50416, 50872, 51227, 51131, 51377, 51768, 51464, 56344, 50850, 51761, 50986, 51364, 56014, 51477, 59015, 60953, 51400, 75795, 62150, 50909, 50940, 50970, 58460, 50801, 54778, 50839, 51234, 52441, 50899, 51679, 50871, 51310, 50906, 51318, 50902, 51477, 50451, 51261, 51518, 50453, 67866, 63232, 51621, 61994, 51007, 51091, 50970, 51134, 50799, 59193, 53227, 50899, 51477, 51768, 60953, 51400, 63975, 77119, 51439, 50823, 51064, 50921, 51658, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50439, 51140, 51518, 50441, 51257, 51138, 50947, 50924, 50449, 50850, 51364, 50986, 51295, 51955, 51464, 53268, 50900, 51477, 60859, 60953, 51400, 58060, 50897, 50421, 50909, 51045, 50970, 58798, 50801, 54778, 50839, 51085, 52441, 50900, 51679, 50916, 51310, 50861, 51318, 50906, 51477, 50427, 51150, 51518, 50428, 50939, 50860, 50998, 50948, 51556, 61574, 51343, 51246, 51218, 59015, 51464, 53044, 50900, 51477, 51955, 61687, 51400, 50454, 50847, 55392, 51246, 61489, 50456, 50906, 61076, 50909, 51030, 50970, 50938, 51755, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50415, 51140, 51518, 50419, 50850, 51353, 50986, 51243, 51768, 51464, 52950, 50903, 50834, 51050, 51645, 55513, 56697, 50801, 54778, 50839, 51085, 52140, 50900, 51314, 50916, 51742, 50861, 51662, 50906, 51939, 50451, 51150, 51692, 50799, 59193, 50839, 51768, 57334, 50850, 50950, 50986, 67803, 50992, 50840, 50986, 53705, 50900, 65867, 50847, 50811, 51246, 50890, 51658, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50439, 51140, 51518, 50872, 51336, 51131, 51183, 51955, 51464, 50839, 60859, 50834, 51050, 73355, 60365, 59772, 79171, 57263, 50986, 54718, 50939, 50858, 64856, 50424, 55119, 50986, 54317, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50986, 59741, 51150, 51518, 50429, 50847, 51661, 51246, 51417, 59015, 51464, 50839, 51955, 66174, 51277, 50916, 58399, 50974, 50452, 61909, 50986, 69085, 59406, 51246, 50858, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50415, 51140, 51692, 50872, 51073, 51131, 51267, 51510, 50839, 51768, 51464, 56344, 50850, 51761, 50986, 51364, 56014, 51477, 59015, 60953, 51400, 75795, 62150, 50909, 50870, 50970, 54044, 50801, 54778, 50839, 51234, 52441, 50899, 51679, 50871, 51310, 50906, 51318, 50902, 51477, 50451, 51261, 51692, 50452, 50939, 51178, 50960, 51423, 50799, 59193, 56813, 51007, 50975, 50970, 51175, 54569, 51477, 50424, 50885, 51749, 51504, 52441, 51768, 60953, 51400, 51149, 50823, 50929, 62019, 66557, 50433, 77144, 51064, 50882, 51658, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 51504, 52482, 50439, 51140, 51692, 50440, 51257, 50802, 50947, 50893, 51955, 51464, 50839, 51050, 55002, 50451, 50850, 51364, 50986, 51295, 60859, 66174, 51277, 50871, 59389, 50974, 50422, 50909, 50921, 50970, 52710, 50801, 54778, 50839, 51085, 52015, 50900, 51679, 50916, 51542, 50861, 51318, 50906, 51318, 50998, 55882, 51150, 51518, 50428, 50939, 50811, 50998, 69544, 50850, 50836, 50986, 64938, 50992, 50942, 70899, 51556, 52950, 59193, 57927, 50868, 50983, 51246, 51115, 51955, 66174, 51277, 50916, 58399, 50974, 50458, 50847, 50882, 51246, 50808, 51755, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50415, 51140, 51692, 50418, 50872, 51518, 51131, 51939, 51768, 51464, 52950, 50903, 50834, 51050, 51645, 55513, 56697, 50801, 54778, 50839, 51247, 52140, 50900, 51314, 50871, 51742, 50877, 51662, 50876, 51939, 50451, 51140, 51518, 50799, 59193, 58235, 51257, 50823, 50947, 51033, 51768, 50834, 51050, 51645, 50428, 51439, 50823, 51064, 51033, 56014, 78239, 51257, 63935, 50882, 51658, 54778, 50839, 51085, 52140, 50900, 51314, 50916, 51742, 50861, 51662, 50906, 51939, 50439, 51150, 51692, 50440, 51149, 50824, 51064, 51090, 51955, 51464, 58472, 51007, 50811, 50970, 69738, 50909, 50820, 50998, 50837, 60859, 61442, 50835, 50998, 61252, 67723, 51246, 50865, 53502, 50974, 50424, 57263, 50986, 54149, 50801, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50427, 51150, 51518, 50430, 50939, 51059, 50998, 51362, 51556, 52950, 59193, 54525, 50909, 51045, 50998, 50952, 51955, 55007, 51007, 50823, 50970, 50921, 50460, 51257, 63935, 50858, 51755, 54778, 50839, 51247, 52783, 51050, 52441, 50900, 51679, 50871, 51310, 50877, 51318, 50876, 51477, 50415, 51140, 51518, 50419, 51007, 51021, 50970, 50865, 51768, 51464, 65760, 50909, 51518, 50970, 51939, 56014, 51477, 59015, 60953, 51400, 75795, 55620, 50801, 54778, 50839, 51247, 51447, 50900, 51535, 70837, 75474, 50451, 51140, 51518, 50799, 59193, 58235, 51257, 63935, 50882, 51768, 50834, 51050, 73355, 60365, 59772, 50857, 51439, 50860, 51064, 51030, 50433, 51257, 50823, 50947, 50921, 51658, 54778, 50839, 51085, 52528, 50916, 51939, 50861, 51939, 50906, 51939, 50876, 51939, 50439, 51150, 51518, 50440, 51149, 51059, 51064, 51226, 51955, 51464, 58472, 63921, 73635, 60859, 65537, 50835, 50998, 61252, 75330, 51246, 78960, 50850, 50821, 50986, 52710, 50801, 54778, 50839, 51085, 51447, 50916, 51535, 68930, 69507, 72144, 50427, 51150, 51518, 50431, 50939, 51204, 50998, 51391, 59015, 51464, 57740, 50909, 50950, 50998, 50859, 51955, 61687, 61381, 60334, 60982, 70175, 50860, 50970, 50948, 50457, 60992, 51064, 50882, 51755, 54778, 50839, 51247, 52015, 50900, 51679, 50871, 51542, 50877, 51318, 50876, 51318, 50415, 51140, 51790, 51257, 51029, 50947, 51496, 51510, 50839, 51768 ]

[ 0, 4688, 14899, 5175, 2214, 19, 10, 2842, 9, 3495, 2712, 6, 4246, 10, 20902, 11739, 9, 21072, 6, 12280, 3275, 1725, 3109, 6, 228, 438, 4781, 2088, 6757, 6, 38668, 20535, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 211, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 20425, 12447, 1001, 20889, 4, 20, 33215, 16739, 9, 211, 6, 83, 406, 6, 8, 1918, 401, 3639, 7, 63, 33928, 8, 33558, 16464, 6, 442, 24, 41, 11653, 2365, 8859, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 53458, 50807, 52321, 50961, 65945, 51768, 51041, 52209, 51668, 50937, 52868, 54279, 51044, 52600, 51389, 51377, 52789, 54020, 51392, 63247, 52772, 51389, 62400, 55767, 54966, 53563, 70707, 53317, 50895, 53458, 50807, 52321, 64600, 54885, 68709, 56856, 54885, 61953, 54885, 50828, 51768, 51392, 52209, 51668, 50937, 52868, 55089, 51187, 53040, 51389, 51377, 52789, 54441, 51139, 62961, 66541, 66027, 59361, 66541, 52396, 51389, 51194, 66541, 52873, 59534, 54966, 50961, 51453, 55410, 56093, 50884, 53458, 50807, 52833, 50879, 53286, 50938, 52321, 50386, 52281, 52755, 50834, 52797, 50961, 52044, 50840, 54081, 50895, 54066, 67046, 54830, 50415, 52868, 51585, 52789, 51161, 51039, 53246, 58964, 53286, 52450, 52833, 50952, 55347, 52245, 50870, 52797, 50961, 52044, 50846, 54081, 50895, 54066, 52667, 51668, 50937, 52833, 50921, 53286, 50830, 52120, 69627, 52797, 50883, 52044, 50809, 54081, 50884, 54066, 53574, 51389, 51377, 53358, 53078, 59808, 52833, 50800, 53286, 50830, 51180, 50374, 52663, 52797, 50949, 52044, 50846, 54081, 50895, 54066, 59596, 52350, 50943, 52197, 77439, 52254, 50450, 51389, 51194, 52901, 50889, 52380, 55023, 51239, 55767, 54966, 53353, 50837, 52242, 50818, 51975, 50846, 52662, 50828, 53382, 60233, 52197, 51754, 52380, 50952, 70707, 55399, 54821, 50870, 52242, 50884, 75673, 52662, 50846, 53382, 50828, 53458, 50807, 52277, 51518, 52868, 51538, 53319, 51158, 52464, 51121, 52321, 53078, 50835, 52049, 50895, 52797, 50817, 52205, 50818, 54081, 50961, 50861, 53700, 50418, 54885, 50880, 51039, 60415, 50422, 54885, 51031, 50425, 54885, 50884, 51768, 51392, 52245, 50825, 52049, 50884, 52797, 51031, 52205, 50846, 54081, 52975, 51668, 50937, 52868, 55089, 51187, 50376, 52663, 52049, 50818, 52797, 50883, 52205, 50841, 54081, 53418, 51389, 51377, 52789, 56545, 51139, 53099, 58616, 66541, 50882, 51180, 53246, 50837, 52049, 50818, 52797, 50961, 52205, 50841, 54081, 66119, 66541, 55254, 51389, 51194, 52350, 51003, 52901, 50807, 66541, 71074, 51239, 59534, 55222, 54016, 50863, 52242, 50895, 75673, 52662, 50818, 53382, 50841, 51453, 55410, 53317, 55101, 50870, 52242, 50883, 51975, 50846, 52662, 50884, 53382, 50841, 53458, 50807, 52789, 51538, 52833, 50805, 53286, 50849, 52321, 54016, 50829, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 70082, 54830, 50415, 52868, 51538, 51039, 76211, 50425, 52833, 56382, 53286, 50910, 55347, 52245, 50837, 52797, 50895, 52044, 50846, 54081, 50846, 54066, 52925, 51668, 50937, 52833, 50830, 53286, 50952, 52120, 53518, 50870, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 53116, 51389, 51377, 53358, 53078, 59808, 53286, 52711, 52833, 50858, 76556, 50908, 52797, 50895, 52044, 50846, 54081, 50846, 54066, 58560, 52253, 50812, 50876, 52254, 50450, 51389, 51194, 52901, 50943, 53676, 50807, 53625, 65958, 51406, 55767, 54966, 53353, 50825, 51975, 50884, 52416, 50884, 53382, 50828, 57082, 58014, 52253, 51754, 53625, 50821, 70707, 54782, 54821, 50870, 75673, 52416, 50884, 53382, 50828, 57082, 50846, 54389, 50807, 54775, 50809, 52789, 51692, 55626, 51175, 52107, 51111, 52321, 53078, 50829, 52044, 50884, 53731, 50817, 54066, 50846, 71461, 50949, 50902, 53700, 50415, 55432, 51692, 50418, 54885, 50880, 51039, 60415, 50422, 54885, 51031, 50425, 54885, 50884, 51768, 51392, 52245, 50837, 52044, 50818, 53731, 50949, 54066, 50828, 71461, 53644, 51150, 50937, 52901, 53672, 51187, 53622, 50870, 52044, 50818, 53731, 50817, 54066, 50828, 71461, 55622, 51389, 51162, 52789, 54285, 51139, 53099, 60862, 66541, 50882, 51180, 53246, 50870, 52044, 50846, 53731, 50817, 54066, 50841, 71461, 72989, 66541, 55254, 51389, 51346, 53676, 50943, 54379, 50807, 66541, 71074, 51187, 59534, 55215, 54016, 50825, 52416, 50895, 52205, 50883, 57082, 50818, 66262, 50884, 51453, 55410, 54782, 55101, 50870, 52416, 50895, 52205, 50895, 57082, 50818, 66262, 50818, 54389, 50889, 55432, 51518, 55288, 51161, 55499, 50911, 54290, 51650, 51139, 54016, 50829, 53731, 50949, 52662, 50884, 71461, 50895, 50657, 50337, 50846, 51114, 54830, 51039, 53246, 58964, 54290, 52450, 55499, 50940, 55347, 52245, 50837, 53731, 50949, 52662, 50818, 71461, 50895, 50657, 50337, 52844, 51150, 50917, 55499, 50858, 54290, 50865, 52120, 69627, 53731, 50949, 52662, 50884, 71461, 50895, 50657, 50337, 53442, 51389, 51377, 53358, 53078, 53162, 55499, 50940, 54290, 51049, 53419, 50825, 53731, 50961, 52662, 50818, 71461, 50895, 50657, 50337, 53083, 51389, 51377, 53676, 50889, 54379, 50889, 53610, 50882, 52575, 67055, 51239, 55767, 54966, 53353, 50835, 52416, 50961, 52205, 50895, 57082, 50895, 66262, 71200, 66504, 53610, 50894, 52575, 50897, 70707, 56379, 50384, 52663, 52416, 50895, 52205, 50895, 57082, 50846, 66262, 56904, 52107, 60946, 54830, 54389, 50807, 54775, 50887, 52789, 51518, 55626, 51021, 52321, 53078, 50829, 52044, 50818, 53731, 50817, 54066, 50828, 71461, 58410, 55432, 51662, 51039, 52909, 52641, 55626, 51014, 52107, 50942, 66358, 52245, 50825, 52044, 50818, 53731, 50949, 54066, 50841, 71461, 53644, 51150, 50977, 55626, 50894, 52107, 50917, 53026, 53622, 50891, 52044, 50895, 53731, 50949, 54066, 50846, 71461, 54292, 51389, 51377, 52321, 53099, 53162, 55626, 51033, 52107, 50833, 51287, 52663, 52044, 50884, 53731, 51031, 54066, 50828, 71461, 53711, 51389, 51159, 52901, 50943, 53676, 50889, 53625, 50858, 52253, 59488, 51044, 59534, 56093, 54016, 50825, 75673, 52416, 50884, 53382, 50828, 57082, 67974, 66504, 53625, 50880, 52253, 51420, 55410, 53317, 50383, 52663, 51975, 50895, 52416, 50884, 53382, 50818, 57082, 50828, 54079, 51191, 52868, 51538, 52833, 50936, 53286, 50901, 52321, 54016, 50835, 52797, 50817, 52044, 50818, 54081, 50961, 54066, 66351, 54830, 50415, 52789, 51486, 51039, 53246, 58990, 52833, 53950, 53286, 50925, 55347, 52245, 50825, 52797, 50949, 52044, 50846, 54081, 50895, 54066, 52667, 51216, 50977, 52833, 50921, 53286, 50897, 52120, 69627, 52797, 50961, 52044, 50818, 54081, 50895, 54066, 53219, 51389, 51221, 53358, 53078, 60862, 53286, 63634, 52833, 50940, 76556, 50825, 52797, 50883, 52044, 50846, 54081, 50818, 54066, 53068, 51389, 51162, 52350, 51003, 52901, 50943, 52380, 50952, 52197, 60629, 51239, 55767, 55140, 53353, 50837, 52242, 50883, 75673, 52662, 50818, 53382, 65490, 52254, 50455, 52197, 58298, 52380, 50859, 70707, 53317, 54821, 50891, 52242, 50884, 51975, 50884, 52662, 50846, 53382, 57498, 52464, 50833, 50861, 53700, 53458, 50808, 52277, 50855, 52868, 50840, 53319, 53287, 56088, 51130, 53078, 50825, 52049, 50884, 52797, 50949, 52205, 50828, 54081, 64174, 52464, 53932, 51098, 50859, 52277, 50855, 52868, 50836, 53319, 53558, 60369, 51139, 53099, 50825, 52049, 50895, 52797, 50961, 52205, 50846, 54081, 53516, 51098, 50936, 52277, 50859, 52868, 50859, 53319, 50950, 52464, 50910, 52219, 51502, 63704, 50835, 52049, 50961, 52797, 50817, 52205, 50884, 54081, 54968, 52365, 55384, 52365, 53027, 52365, 54926, 52365, 52802, 52365, 53685, 51224, 50895, 53458, 50807, 52833, 50879, 53286, 50938, 52321, 68739, 52543, 50834, 52797, 50961, 52044, 50840, 54081, 50895, 54066, 67046, 54830, 50415, 52868, 51585, 52789, 51161, 51039, 53246, 58964, 52833, 50952, 53286, 50808, 51768, 51041, 52245, 50870, 52797, 50961, 52044, 50846, 54081, 50895, 54066, 52667, 51668, 50937, 52833 ]

[ 0, 250, 20902, 11057, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 13305, 8, 1076, 560, 31365, 25999, 6, 2800, 30, 21979, 9590, 8, 21072, 4, 8504, 11, 274, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 24, 3136, 23, 10, 23667, 12701, 4450, 20889, 4, 20, 20299, 29769, 198, 5, 40286, 274, 406, 6, 163, 428, 406, 6, 12608, 406, 6, 8, 2060, 6, 2351, 10, 32076, 8, 19448, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 67833, 57267, 51363, 78933, 50978, 68423, 51417, 53360, 51597, 50851, 51085, 60250, 51233, 50422, 50968, 50805, 53327, 58782, 51248, 52258, 51026, 65377, 58327, 51337, 73866, 50987, 55957, 53269, 51150, 51003, 54547, 51085, 51242, 73054, 50446, 50931, 50865, 52612, 51252, 51034, 50804, 50907, 59085, 51027, 51277, 50916, 63751, 57777, 51233, 64309, 66700, 61237, 58688, 53220, 51150, 51417, 73522, 50822, 51085, 50959, 51001, 51101, 50434, 51114, 50805, 52594, 55707, 51248, 52258, 51027, 50933, 50989, 50933, 51001, 51212, 67655, 57091, 62373, 50449, 51001, 50978, 68423, 51675, 50801, 56444, 78627, 51022, 51085, 50822, 50968, 51203, 50999, 64131, 53636, 74180, 60471, 61048, 50951, 51025, 50434, 50968, 59577, 53636, 74180, 61022, 57472, 59855, 50440, 67692, 50442, 50876, 51091, 50446, 51150, 51423, 68423, 51675, 50801, 50371, 54945, 51085, 58382, 53636, 68070, 60471, 50877, 52788, 53636, 76339, 50916, 63700, 62869, 77376, 50902, 62928, 60256, 73831, 51183, 73522, 50822, 51247, 50822, 51050, 50959, 75640, 51001, 51116, 50422, 59855, 53327, 55124, 51248, 52258, 66742, 68719, 65058, 71869, 50902, 51043, 57096, 52101, 65281, 50955, 52594, 58688, 52691, 51140, 51241, 53636, 66742, 51027, 68804, 59903, 51177, 51001, 51194, 73227, 50867, 51034, 57411, 51210, 59085, 51247, 50955, 51050, 50955, 57634, 50902, 63980, 51140, 50925, 60729, 53220, 51705, 51397, 53360, 51597, 50851, 51966, 51609, 50298, 50959, 79724, 51001, 51110, 65281, 50867, 52594, 59580, 51248, 52258, 51378, 51008, 50900, 74265, 63700, 51101, 80039, 73227, 56317, 62373, 67834, 51183, 54547, 51214, 51537, 50299, 50955, 68575, 50906, 51110, 50422, 60192, 53327, 51252, 51302, 50907, 59085, 51026, 51008, 50997, 51008, 73630, 50916, 51233, 50877, 51233, 73866, 54378, 61237, 58688, 53269, 51150, 58379, 56897, 50822, 52206, 52415, 50292, 70023, 51212, 50906, 51212, 50446, 62958, 67834, 50943, 59085, 51214, 50827, 78456, 70584, 67692, 60729, 53220, 51216, 51127, 73522, 50822, 51279, 51537, 50301, 50844, 50916, 51178, 58893, 75172, 73866, 50867, 52594, 55707, 51248, 52258, 51026, 78720, 50827, 50916, 51233, 50877, 51212, 55258, 52101, 50446, 51027, 60097, 50857, 52612, 50365, 51597, 50907, 79515, 51486, 50801, 50371, 54945, 51120, 50844, 50989, 50865, 50418, 50877, 50987, 68225, 52524, 53636, 51027, 52169, 50304, 77964, 52169, 50310, 50933, 75244, 51001, 79865, 50973, 72759, 53636, 51027, 50933, 60906, 65058, 50989, 62378, 51242, 50902, 51242, 78933, 60982, 50857, 67834, 51486, 50801, 50371, 54945, 51214, 51609, 50299, 50822, 50973, 63814, 50902, 68102, 50931, 52524, 53636, 51086, 52169, 50306, 64611, 73793, 71227, 51025, 51147, 79865, 50968, 52781, 53636, 77469, 50899, 61123, 63903, 72938, 50854, 50951, 69775, 50902, 60553, 50813, 68423, 64269, 50371, 54945, 51085, 66956, 50833, 50968, 53049, 53636, 50997, 51642, 70489, 50876, 62408, 51085, 51174, 60116, 50914, 53636, 51027, 51481, 50871, 58681, 62150, 51085, 64180, 54547, 68423, 51486, 50801, 50371, 54945, 51026, 51642, 50916, 59391, 51241, 50422, 51085, 51174, 51510, 53450, 53636, 51050, 51309, 50899, 63125, 51085, 52718, 53636, 51315, 50933, 50900, 52169, 50306, 68677, 50813, 56756, 60256, 73831, 51486, 50801, 56444, 78409, 51022, 51050, 51680, 50999, 51295, 50422, 50916, 59219, 71278, 58326, 53636, 50434, 50956, 51277, 55957, 52729, 53636, 50899, 51576, 50973, 51134, 51034, 51493, 64269, 50371, 54945, 51315, 52168, 50951, 51121, 63715, 63821, 51253, 50902, 51419, 50426, 53636, 50434, 51040, 51174, 50435, 51068, 53269, 51216, 50914, 53636, 70223, 50877, 51003, 51034, 51560, 64269, 50371, 54945, 51197, 51517, 50322, 51351, 66345, 51709, 51040, 75763, 51328, 50906, 71277, 51423, 50426, 53636, 50434, 51120, 51199, 55957, 52729, 51522, 50914, 53636, 51176, 51484, 50900, 51309, 50965, 66956, 50955, 51001, 52415, 50324, 50955, 51034, 52318, 64269, 50371, 54945, 51360, 75575, 51562, 50422, 51176, 51283, 50900, 64611, 58327, 69790, 53636, 50434, 70265, 50973, 53980, 51868, 50914, 53636, 50997, 51199, 50871, 63422, 51058, 50446, 51120, 50864, 51034, 51461, 64269, 50371, 54945, 51085, 51627, 51001, 51241, 50422, 51026, 51277, 50956, 64290, 54335, 53636, 50434, 51176, 53945, 51140, 50914, 53636, 51027, 62215, 55512, 68543, 50925, 78459, 64269, 50371, 54945, 51234, 51680, 51028, 51183, 50422, 51176, 51309, 51040, 51419, 50965, 58187, 53636, 50434, 51050, 64611, 51328, 50435, 51068, 54793, 51560, 50914, 53636, 51026, 57935, 50955, 51034, 51216, 64269, 50371, 54945, 51279, 51380, 50876, 51351, 50422, 51315, 51380, 51026, 51380, 50900, 61087, 68033, 53636, 50434, 51503, 59612, 51522, 50914, 53636, 51197, 51260, 50298, 51309, 66481, 74372, 50989, 65479, 60756, 50955, 67834, 51486, 50801, 50371, 54945, 51214, 51080, 50973, 51377, 50426, 53636, 51120, 51199, 51026, 51517, 50303, 51534, 50871, 51534, 50877, 51534, 50438, 53636, 50861, 51534, 78933, 50978, 68423, 51417, 53360, 52054, 51022, 51085, 51242, 50876, 51337, 50422, 50968, 50849, 53327, 58782, 51248, 52258, 51026, 51277, 50916, 67220, 70139, 50861, 50974, 55957, 53269, 51150, 50943, 54547, 51085, 51242, 50902, 51337, 50446, 75033, 52612, 51252, 51034, 50804, 50907, 59085, 51027, 51309, 50871, 69715, 51328, 64309, 51277, 50423, 61237, 58688, 53220, 51150, 51562, 73522, 50822, 51085, 50822, 51001, 51423, 50434, 51114, 51124, 52594, 55707, 51248, 52258, 51027, 50933, 67668, 51001, 50892, 67655, 61554, 62373, 50449, 51001, 51051, 68423, 51675, 50801, 56444, 78627, 51022, 51085, 50959, 50968, 51158, 50999, 60823, 53636, 68719, 68070, 50916, 67089, 75766, 51124, 50434, 50968, 58866, 53636, 50997, 51051, 64385, 50877, 69666, 50959, 50440, 67692, 50442, 50876, 51141, 50446, 51098, 51642, 68423, 51790, 50801, 50371, 54945, 51085, 58382, 53636, 50997, 51051, 73952, 50877, 53269, 53636, 73249, 64385, 50877, 69666, 50844, 50442, 50902, 65845, 59725, 73831, 51127, 73522, 50822, 51247, 51537, 50297, 50844, 50877, 51100, 51001, 51110, 68225, 50955, 53327, 55124, 51248, 52258, 51050, 50851, 51027, 51051, 70090, 50877, 51233, 50902, 51233, 57096, 52101, 50434, 59725, 52594, 58688, 52691, 51140, 51241, 53636, 51050, 50822, 51027, 68925, 62821, 51043, 51001, 51101, 50446, 70688, 51034, 57411, 51210, 59085, 51247, 50822, 51050, 59035, 75213, 68102, 51140, 50925, 60729, 53220, 51705, 51397, 53360, 51597, 50851, 51966, 50844, 51378, 50955, 50877, 51110, 51001, 51110, 65281, 50955, 52594, 59580, 51248, 52258, 51378, 51051, 50900, 78284, 62055, 60756, 51212, 50446, 53262, 50959, 50876, 56518, 62373, 67834, 51145, 54547, 51214, 50844, 51026, 70023, 51110, 50906, 51110, 64309, 50987, 53327, 51252, 51302, 50907, 59085, 78456, 50997, 52169, 50304, 78721, 51212, 50877, 51233, 50434, 58882, 50435, 61237, 58688, 53269, 51150, 51145, 50804, 56897, 50822, 52206, 50822, 51085, 73665, 51212, 50906, 51212, 50446, 65150, 51034, 59085, 51214, 50933, 51026, 78721, 68699, 50892, 60729, 53220, 51216, 51145, 73522, 50822, 51279, 51609, 50301, 50959, 50916, 51110, 59285, 50906, 51110, 50434, 60569, 52594, 55707, 51248, 52258, 51026, 53130, 50305, 50851, 50916, 59389, 51212, 55258, 52101, 67655, 50813, 52612, 50365, 51597, 50907, 79515, 51486, 50801, 50371, 54945, 51120, 50851, 78887, 50418, 50877, 50978, 68225, 53383, 53636, 51026, 51609 ]

[ 0, 713, 14899, 3152, 2214, 6, 30291, 19, 3495, 4785, 6, 22750, 1626, 11098, 8, 1007, 4, 6208, 38645, 8, 81, 9756, 29589, 6, 3459, 9590, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 21072, 283, 561, 7, 1045, 10, 15352, 30054, 8, 33558, 2369, 4, 8504, 11, 5, 762, 9, 163, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 11498, 10, 1769, 20889, 1328, 63, 13428, 4, 20, 33215, 16739, 9, 381, 8, 163, 4620, 5, 46336, 24456, 9, 42, 20902, 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 ]

[ 63515, 53028, 75011, 50841, 51570, 53057, 51471, 50799, 51956, 50420, 51323, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51943, 66579, 50855, 51323, 50854, 51200, 51363, 50425, 51323, 56412, 78903, 51943, 51101, 50427, 51323, 54259, 51323, 79939, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 51404, 50901, 52074, 50879, 51943, 72759, 51323, 61985, 51943, 50866, 52074, 50866, 77492, 51323, 50892, 51200, 51003, 50449, 51823, 55178, 51943, 50901, 51404, 71364, 51323, 57313, 76710, 78903, 51823, 50845, 51323, 70634, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 50852, 55477, 51746, 51241, 51499, 51218, 51361, 53116, 50852, 61374, 52023, 50892, 51746, 55322, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 59842, 51200, 59960, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 64956, 60341, 51499, 51391, 51404, 51351, 51499, 79416, 52023, 51318, 51746, 51218, 51404, 51295, 69591, 51361, 52950, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52105, 50449, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 56015, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51499, 50959, 51404, 50897, 51404, 51353, 50799, 52023, 51312, 51499, 51253, 51404, 51109, 51746, 51267, 51499, 51353, 50852, 60740, 59824, 51499, 51351, 51404, 51351, 51404, 51295, 51499, 79416, 51746, 51134, 52023, 51189, 69386, 51361, 53116, 50852, 60604, 51746, 51177, 50443, 51499, 50987, 52023, 50901, 51404, 55200, 51499, 50978, 51404, 51183, 52261, 50448, 51499, 51101, 50449, 51746, 50987, 51323, 50905, 51404, 68366, 51943, 61600, 59842, 51323, 51177, 51746, 51100, 51200, 58667, 51499, 50873, 51404, 50892, 52093, 71634, 50892, 51943, 50845, 77492, 51323, 50905, 51200, 51353, 51404, 51353, 50852, 53227, 51323, 51467, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51943, 66579, 50855, 51323, 50854, 51200, 51363, 50425, 51323, 56412, 78903, 51943, 51101, 50852, 56344, 51323, 54259, 51323, 50925, 52105, 50433, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 51404, 50901, 52074, 50879, 51943, 72759, 51323, 71589, 53044, 51943, 50866, 52074, 50866, 77492, 51323, 50892, 51200, 51003, 52105, 50449, 51823, 55178, 51943, 50901, 51404, 59140, 53732, 56688, 51323, 57313, 76710, 78903, 51823, 50845, 51323, 50845, 52112, 50458, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 55919, 51362, 50852, 53889, 60854, 51746, 51241, 51499, 51218, 51361, 53116, 50852, 61374, 52023, 50892, 51746, 50873, 54488, 64966, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 55164, 74037, 51200, 59960, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 54488, 51048, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 64956, 60341, 51499, 51391, 51404, 51351, 51499, 51218, 52328, 53049, 52023, 51318, 51746, 51218, 51404, 51295, 50816, 53732, 52925, 52328, 51116, 70658, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52328, 51582, 58560, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 50845, 52328, 68215, 53732, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51404, 51353, 53146, 51400, 50799, 51404, 50854, 79536, 51200, 51109, 51943, 51056, 51404, 51056, 51323, 50915, 51200, 51353, 50852, 60740, 59824, 51200, 51318, 52328, 52710, 51404, 51218, 51323, 51189, 51404, 51318, 51943, 51295, 51323, 52392, 50852, 53889, 65898, 52328, 50914, 51361, 53116, 50852, 61374, 51404, 50977, 53146, 58991, 51943, 50892, 51404, 51121, 51323, 51121, 52261, 50445, 51200, 50866, 50449, 51823, 51100, 52328, 55125, 51200, 54539, 55164, 65134, 51404, 50866, 51323, 50977, 76710, 51943, 50845, 50455, 52333, 57313, 51404, 53259, 52093, 50457, 51200, 50977, 51943, 50892, 51404, 50901, 51323, 73827, 53146, 51241, 71634, 51353, 51404, 51353, 50852, 56813, 51200, 50892, 51943, 50892, 51404, 50845, 51323, 55689, 51323, 50839, 51323, 51187, 61266, 51323, 50857, 51943, 75891, 50844, 51200, 60988, 51323, 60682, 51200, 50834, 51943, 66579, 50855, 51323, 66659, 51323, 53855, 51943, 50820, 51323, 50942, 51404, 50892, 51943, 51101, 51200, 51194, 50816, 53732, 56344, 51323, 54259, 51323, 50841, 51323, 50833, 52105, 50433, 51943, 50959, 51404, 50878, 51323, 50937, 51200, 51056, 50437, 52074, 50884, 51404, 50901, 51943, 72759, 52074, 50937, 51323, 71589, 53044, 51200, 50937, 51943, 50866, 52074, 50977, 77492, 51323, 50892, 52105, 50449, 51823, 50839, 51823, 55178, 51943, 50839, 51404, 50829, 51404, 50866, 51200, 50892, 51943, 57957, 53732, 56688, 51323, 50828, 69438, 50455, 51823, 52579, 51200, 50839, 51943, 50829, 51404, 50841, 51323, 50820, 51404, 50901, 51823, 50845, 51323, 50892, 52112, 50457, 51200, 77930, 51943, 50942, 50799, 51499, 50833, 51404, 50925, 52023, 50915, 51404, 51003, 51746, 50981, 51404, 51307, 51499, 51353, 50852, 56075, 51499, 51109, 51039, 59824, 51404, 75749, 51404, 50839, 51499, 51191, 52023, 51295, 50852, 53889, 60854, 51746, 51241, 51499, 51218, 51361, 53116, 55919, 58474, 61374, 52023, 50892, 51746, 55322, 51404, 50925, 51499, 50978, 51499, 50987, 51404, 50901, 54488, 51095, 52261, 50449, 51943, 50977, 51404, 50905, 51499, 51101, 51404, 68500, 51746, 50917, 51323, 56895, 55164, 74037, 51200, 50977, 54488, 51157, 50456, 51499, 50987, 51404, 50978, 51323, 50905, 51746, 50845, 52093, 50461, 51499, 50959, 51404, 50897, 51499, 50981, 51404, 50995, 50799, 52023, 50943, 51746, 50914, 51499, 51293, 51404, 51151, 50852, 53227, 52328, 51346, 52105, 50425, 51499, 51391, 51404, 51351, 51499, 79416, 52023, 51318, 51746, 51218, 51404, 51295, 50816, 53732, 52925, 52328, 51215, 70658, 50852, 60371, 52023, 50905, 51499, 50905, 51404, 50905, 51746, 51177, 51404, 60510, 51499, 50977, 52105, 50445, 52328, 61495, 51943, 50905, 51404, 78229, 67426, 51746, 50866, 51323, 50845, 52328, 51124, 50816, 53732, 60233, 51200, 58325, 51499, 50905, 51404, 50892, 51323, 51101, 51746, 51101, 52112, 50461, 51404, 51353, 53146, 51346, 50799, 51404, 50854, 79536, 51200, 51109, 51943, 51056, 51404, 51056, 51323, 50915, 51200, 51353, 50852, 60740, 59824, 51200, 51318, 52328, 53906, 51404, 51218, 51323, 51189, 51404, 51318, 51943, 51295, 51323, 52392, 50852, 53889, 65898, 52328, 51162, 51361, 53116, 50852, 61374, 51404, 50977, 53146, 55040, 51943, 50892, 51404, 51121, 51323, 51121, 52261, 50445, 51200, 50866, 50449, 51823 ]

[ 0, 250, 15855, 2125, 14, 115, 1807, 25, 10, 19834, 6, 4246, 17691, 28430, 6, 2370, 21305, 6, 8, 1515, 21305, 6, 2351, 10, 19448, 8, 5679, 26709, 5466, 10686, 13, 822, 4, 590, 10, 86, 6543, 9, 290, 73, 306, 8, 10, 27841, 139, 20889, 6, 24, 3136, 15682, 149, 10, 33215, 16739, 9, 211, 6, 230, 6, 211, 6, 1918, 6, 8, 163, 428, 11, 5, 762, 9, 272, 3694, 6, 5203, 11, 10, 765, 53, 9066, 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 ]

[ 50799, 50643, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 50799, 52285, 51492, 58048, 51492, 62005, 51492, 50796, 50796, 50796, 50799, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 50799, 52285, 51492, 58048, 51492, 62005, 51492, 50796, 50796, 50796, 50799, 56049, 76175, 63533, 50918, 50799, 56334, 51036, 56049, 56039, 51900, 50918, 56049, 50918, 76309, 51036, 56620, 51036, 56708, 51036, 50799, 52285, 51036, 63533, 51036, 56049, 56039, 56049, 50918, 73410, 51036, 56708, 76175, 58267, 52728, 58267, 50807, 50799, 58048, 50918, 60766, 56039, 51784, 50807, 58267, 50918, 60766, 56811, 51784, 50807, 75316, 50918, 63911, 50807, 56708, 61899, 56334, 52424, 51784, 50918, 56620, 52728, 59017, 50807, 50799, 51950, 50807, 63911, 50918, 56049, 55834, 51802, 52424, 52173, 50807, 63911, 50918, 56049, 56811, 51900, 50807, 50799, 51950, 50918, 60766, 76175, 51950, 50918, 59017, 52728, 59017, 50807, 50799, 58267, 50918, 56708, 56039, 51900, 50807, 59017, 50807, 56708, 56811, 51900, 50807, 59017, 50807, 67628, 50918, 58048, 50918, 56049, 56039, 51784, 50807, 58048, 50918, 56049, 56811, 51784, 50807, 75316, 50918, 66207, 76175, 52186, 50918, 59017, 52728, 58267, 50807, 50799, 58048, 50918, 62005, 56039, 51900, 50807, 58048, 50807, 62005, 56811, 51784, 50807, 58048, 50807, 50799, 52824, 50918, 58267, 50807, 66207, 61899, 56334, 52424, 52186, 50807, 56334, 56811, 52186, 50807, 67628, 50807, 56620, 51036, 56708, 55834, 51802, 52424, 51802, 50918, 56708, 50918, 78321, 51036, 58048, 51036, 60766, 51036, 75316, 51036, 58048, 51036, 66207, 51036, 75316, 51036, 60766, 56039, 58048, 50918, 60766, 50918, 50799, 60285, 51036, 66207, 76175, 52278, 50918, 50799, 52285, 50918, 58048, 51036, 62005, 56039, 52285, 50918, 62005, 50918, 58106, 52285, 51492, 58048, 51492, 62005, 51492, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 25771, 2214, 19, 10, 182, 1769, 20889, 6, 4246, 21072, 6, 21979, 8669, 6, 2236, 1021, 2678, 29, 6, 38668, 2236, 6, 8, 31391, 1672, 9590, 4, 20, 19448, 8, 15352, 30054, 15229, 16, 278, 11, 272, 3694, 8, 204, 73, 306, 86, 6, 19, 5, 40286, 211, 406, 8, 272, 119, 19983, 1328, 6, 2351, 41, 11653, 8, 5679, 26709, 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 ]

[ 77629, 50759, 50304, 51362, 50727, 50292, 70756, 60574, 51175, 50727, 50299, 59591, 60311, 51175, 50727, 50304, 65651, 60574, 50940, 50727, 50299, 50952, 50799, 58478, 51235, 50727, 50302, 68907, 58478, 51235, 50727, 50302, 76183, 60574, 51173, 50727, 50299, 55260, 50759, 50307, 51173, 50727, 50295, 51060, 50799, 50759, 50304, 51235, 50727, 50292, 51345, 50432, 60574, 50893, 50727, 50299, 59591, 60311, 51235, 50727, 50304, 55764, 60574, 50858, 50727, 50299, 50940, 50799, 58478, 51175, 50727, 50302, 68907, 58478, 51175, 50727, 50302, 76183, 60574, 51227, 50727, 50299, 51175, 50799, 50759, 50304, 66196, 50893, 51206, 55300, 51354, 50727, 50292, 68907, 50852, 59004, 65846, 60574, 72649, 50940, 51170, 51014, 50727, 50299, 50948, 53550, 76714, 54465, 60311, 51175, 51718, 51657, 50894, 50727, 50304, 65399, 50852, 64493, 54712, 60574, 56956, 66572, 50894, 50727, 50299, 50952, 50799, 58478, 72706, 51235, 75750, 51388, 50727, 50302, 51173, 51039, 53803, 58478, 51235, 50852, 50925, 51236, 51014, 50727, 50302, 51175, 51974, 50948, 51170, 55734, 60574, 63944, 50893, 51190, 51372, 51021, 50727, 50299, 50893, 51180, 54004, 50759, 50307, 51173, 50852, 50942, 51270, 54966, 50894, 50727, 50295, 55000, 51270, 53211, 50804, 70159, 60381, 51014, 50799, 50759, 50304, 72706, 51173, 51190, 51372, 50923, 51383, 50813, 50727, 50292, 51345, 68072, 50852, 50959, 51236, 65846, 60574, 54187, 50940, 51170, 51014, 50727, 50299, 50948, 53550, 50948, 51892, 50444, 60311, 51235, 76994, 50894, 50727, 50304, 55260, 50852, 50917, 51240, 63695, 60574, 53474, 61757, 50962, 50727, 50299, 50940, 50799, 58478, 72649, 50893, 75750, 51021, 50727, 50302, 51173, 51039, 53803, 58478, 51175, 50852, 50897, 51236, 51014, 50727, 50302, 51175, 51974, 50940, 51170, 55734, 60574, 63924, 50948, 51190, 51372, 51014, 50727, 50299, 51175, 51180, 53140, 50852, 50925, 51270, 60381, 62172, 51270, 53211, 50804, 70159, 60381, 50894, 50799, 50759, 50304, 58249, 50893, 51190, 52272, 61391, 72432, 50883, 50979, 64143, 50909, 50883, 50727, 50292, 51173, 51039, 50844, 50885, 61122, 55969, 58149, 52247, 50852, 55210, 51014, 50885, 61346, 56977, 57750, 53308, 60574, 72649, 50948, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 50948, 51892, 50885, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 51175, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 55260, 50852, 73893, 51014, 50885, 61346, 56977, 57750, 53702, 60574, 56956, 61757, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50859, 50799, 58478, 72706, 80037, 51021, 51892, 50885, 50883, 50979, 64143, 59902, 50909, 50883, 50727, 50302, 51173, 51039, 50857, 50885, 61122, 55969, 59978, 56990, 52247, 58478, 51235, 50852, 55210, 51014, 50885, 61346, 56977, 60014, 56990, 50849, 50727, 50302, 51175, 51974, 50940, 51170, 63473, 61122, 55969, 59978, 56990, 52322, 60574, 63944, 50948, 51170, 51021, 52068, 50885, 50883, 50979, 64143, 50939, 68341, 50883, 50727, 50299, 50893, 51180, 58392, 61122, 55969, 59978, 56990, 52610, 50759, 50307, 51173, 50852, 61639, 51014, 51270, 65412, 61346, 56977, 60014, 56990, 50849, 50727, 50295, 55000, 51270, 52579, 50804, 70159, 65412, 61122, 55969, 59978, 56990, 50806, 50799, 50759, 50304, 72706, 80037, 51021, 51190, 52272, 65412, 50883, 50979, 64143, 50909, 50883, 50727, 50292, 51345, 51039, 58392, 61122, 55969, 58149, 52247, 50852, 50897, 51236, 51014, 50885, 61346, 56977, 57750, 53308, 60574, 54187, 50940, 51170, 51014, 50885, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 55417, 73945, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 51175, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 55260, 50852, 59922, 58806, 51014, 50885, 61346, 56977, 57750, 50849, 79697, 50908, 52145, 61733, 50832, 53553, 60574, 53474, 61757, 55607, 64358, 61122, 55969, 69140, 50727, 50299, 67320, 68097, 52215, 57243, 68097, 50799, 58478, 72649, 80037, 51014, 54659, 65622, 50883, 50979, 64143, 59902, 50909, 50883, 50727, 50302, 51173, 50416, 77038, 51921, 64159, 50832, 61044, 53187, 65832, 61122, 55969, 59978, 56990, 50806, 66049, 50835, 52111, 58646, 50832, 52762, 58478, 51175, 50852, 50897, 51236, 66224, 62168, 61346, 56977, 60014, 56990, 50849, 50727, 50302, 51175, 50428, 50832, 50834, 51999, 59651, 50832, 50834, 51974, 66034, 54763, 50962, 50885, 61122, 55969, 59978, 56990, 66454, 50832, 50820, 52224, 56305, 50832, 52950, 60574, 63924, 50940, 51170, 51014, 55088, 64937, 50883, 50979, 64143, 50939, 68341, 50883, 50727, 50299, 51175, 50440, 50832, 50839, 52260, 60371, 50832, 73816, 53187, 64937, 61122, 55969, 59978, 56990, 75237, 50832, 50839, 52283, 58560, 50832, 52725, 50852, 64206, 54966, 52973, 64354, 61346, 56977, 60014, 56990, 50849, 50452, 69536, 52145, 58729, 60425, 50832, 53217, 50832, 58847, 60381, 63473, 61122, 55969, 59978, 56990, 69810, 77038, 52215, 57995, 77038, 54309, 51362, 53216, 51541, 51813, 51541, 51882, 58747, 51016, 51206, 58949, 61391, 72432, 50883, 50979, 64143, 50909, 50883, 50727, 50304, 50859, 51039, 50844, 50885, 61122, 55969, 58149, 52247, 50852, 55210, 51014, 52819, 51328, 50885, 61346, 56977, 57750, 53308, 54311, 51362, 53216, 51090, 51813, 51541, 51882, 51091, 60574, 57603, 50940, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 51175, 51190, 63467, 62773, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 50948, 54722, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 58631, 51727, 51227, 53216, 51427, 51813, 51427, 51882, 55568, 61363, 61639, 51014, 52819, 51242, 50885, 61346, 56977, 57750, 53702, 60574, 50952, 51170, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50855, 54309, 51343, 53216, 51496, 51813, 51496, 51882, 50983, 57698, 72649, 51016, 51170, 51021, 51892, 50885, 50883, 50979, 64143, 50909, 50883, 50727, 50307, 51173, 51039, 50857, 50885, 61122, 55969, 58149, 52247, 57698, 51175, 50852, 55210, 51014, 52819, 51277, 50885, 61346, 56977, 57750, 50849, 50727, 50307, 70756, 54311, 66196, 80037, 63473, 61122, 55969, 58149, 52322, 54827, 58804, 51175, 51170, 51021, 51230, 63467, 62773, 50883, 50979, 64143, 50909, 50883, 50727, 50306, 51173, 51180, 58392, 61122, 55969, 58149, 52610, 51727, 51227, 60311, 51215, 51224, 61363, 68195, 60381, 51014, 52819, 51337, 50885, 61346, 56977, 57750, 50849, 50727, 50304, 68454, 51270, 52579, 51270, 65412, 61122, 55969, 69140, 54309, 51364, 53216, 51541, 51813, 51541, 51882, 58747, 51016, 76994, 51021, 51383, 65412, 50883, 50979, 64143, 50909, 67385, 58392, 61122, 55969, 58149, 52247, 50852, 50897, 51236, 51014, 52819, 60925, 61346, 56977, 57750, 53308, 54311, 51362, 51882, 50807, 53216, 50896, 51813, 51090, 60574, 54070, 50948, 51170, 63473, 61122, 55969, 69140, 50727, 50299, 50948, 53550, 51175, 51718, 63467, 51173, 50885, 50883, 50979, 50883, 50847, 61937, 52878, 60311, 53538, 50897, 51170, 63473, 61122, 55969, 69140, 50727, 50304, 57322, 51727, 51290, 53216, 51427, 51882, 50991, 51813, 73328, 56285, 73893, 51014, 52819, 51174, 50885, 61346, 56977, 57750, 53702, 60574, 69734, 50962, 50885, 61122, 55969, 69140, 50727, 50299, 50858, 54309, 51343, 51813, 52195, 51882, 51291, 53216, 51551, 57698, 63388, 51290, 51170, 51014, 51892, 50885, 50883, 50979, 64143, 50909, 50883, 50727, 50307, 50893, 51039, 58392, 61122, 55969, 58149 ]

[ 0, 250, 19448, 8, 15352, 30054, 3495, 13305, 2125, 11, 211, 538, 6, 42, 765, 2214, 7630, 6568, 10, 1472, 9, 657, 8, 11926, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 33215, 16739, 9, 211, 119, 6, 83, 6, 211, 119, 6, 12608, 6, 8, 211, 4, 20, 5540, 13305, 819, 31473, 1495, 157, 7, 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 ]

[ 56103, 50451, 51099, 51210, 50454, 51308, 65628, 51275, 51134, 50457, 51198, 51283, 51869, 51283, 51706, 52136, 52478, 51777, 54691, 50430, 51275, 58685, 51275, 57869, 51494, 57032, 51708, 55812, 50436, 51280, 55812, 51275, 53280, 50455, 51777, 52782, 50458, 51275, 51269, 50460, 51435, 51862, 65364, 55776, 51099, 56329, 51198, 58468, 51639, 54836, 50423, 51275, 52056, 50437, 51275, 51337, 50444, 51435, 52460, 50450, 51639, 51470, 50454, 51275, 75574, 51639, 54573, 52177, 52477, 54573, 50425, 51144, 77263, 50433, 51280, 57070, 50441, 51275, 51376, 50445, 51777, 51432, 50449, 51869, 54557, 51275, 51703, 50455, 52040, 59170, 62673, 53024, 50421, 51153, 51862, 50424, 51429, 52192, 50428, 51153, 51172, 51561, 51852, 50435, 51198, 51824, 50439, 51847, 51365, 50443, 51280, 53161, 50449, 51837, 51128, 51153, 50891, 60212, 51837, 52136, 50427, 51153, 51419, 50431, 52746, 56329, 50439, 51280, 63667, 50456, 51308, 61545, 51847, 51318, 51099, 51448, 51308, 51115, 50460, 52533, 53486, 75695, 51153, 51074, 50433, 51308, 61929, 53483, 53957, 51494, 54848, 51119, 51852, 51280, 54861, 50447, 51708, 51319, 50454, 51494, 51314, 50457, 51275, 65019, 51119, 55812, 50461, 51578, 51004, 51809, 52353, 51242, 50420, 59150, 59953, 51153, 66007, 51119, 50941, 50439, 51119, 64524, 51119, 51477, 50449, 51964, 52980, 50455, 51561, 52025, 70781, 52063, 50423, 51512, 52462, 50429, 51847, 52441, 51099, 52598, 50430, 52746, 70316, 50447, 51847, 59821, 50452, 51869, 56373, 51119, 52782, 50456, 51099, 52731, 50460, 51494, 54557, 52176, 53674, 50461, 51280, 58898, 69341, 53646, 51123, 50430, 51964, 60952, 52537, 69876, 56686, 51142, 50439, 56387, 51318, 50459, 51099, 51432, 51601, 51308, 51254, 50419, 53366, 54228, 51275, 52188, 50426, 51198, 51365, 50434, 51099, 51697, 50440, 51275, 51080, 50447, 51708, 55086, 50454, 51198, 52946, 50799, 51777, 51862, 50418, 51275, 51524, 50422, 51777, 54146, 50426, 51275, 52167, 50430, 51869, 61653, 51639, 57032, 50438, 51706, 63160, 50446, 51198, 61124, 50452, 51099, 51738, 51275, 51806, 51308, 53957, 52478, 51308, 50955, 51275, 50937, 51099, 72029, 51144, 51210, 51435, 50849, 51099, 50933, 51308, 71699, 51489, 51142, 51232, 51824, 50432, 51561, 51126, 51639, 59383, 51275, 51550, 50435, 51198, 51269, 50439, 51639, 51097, 51512, 51645, 51153, 69506, 52176, 51490, 50446, 52477, 51562, 50457, 51429, 51337, 51144, 50974, 51275, 51194, 51601, 53483, 51269, 50418, 51869, 53280, 51777, 51006, 79633, 51429, 62791, 51275, 64644, 53366, 50984, 50428, 51639, 50978, 50431, 51435, 56524, 51639, 51134, 50436, 51435, 51306, 51964, 51309, 50443, 51869, 51166, 50449, 51280, 50984, 50452, 51198, 51524, 50455, 51561, 51961, 50458, 51099, 52025, 50799, 51639, 50904, 51837, 51008, 51153, 54861, 50427, 68089, 51662, 50431, 53629, 59880, 53629, 51675, 50441, 51964, 54848, 50449, 51869, 55765, 50457, 51561, 51269, 52177, 68089, 51134, 50419, 55165, 52048, 50420, 53629, 51253, 50424, 52785, 54848, 50433, 51964, 55584, 50439, 52353, 51051, 50443, 52929, 51142, 50447, 52353, 53588, 50454, 53038, 56458, 59649, 63667, 50422, 51198, 52101, 50428, 52746, 51314, 50442, 51706, 55584, 50450, 51837, 53486, 50453, 51153, 78473, 51153, 51627, 51601, 51708, 53055, 50422, 51561, 54228, 50431, 51280, 74553, 50437, 51308, 51365, 50440, 51119, 51432, 50445, 51308, 52519, 52176, 63160, 50452, 51708, 53801, 50461, 51119, 51365, 51809, 51512, 52946, 50420, 51099, 52482, 50427, 51869, 53055, 50434, 51198, 56123, 50440, 52353, 77388, 52778, 59323, 52709, 52835, 50452, 51708, 51466, 50457, 51494, 51432, 50458, 52353, 59496, 52778, 51269, 51601, 52353, 56115, 52929, 77946, 52353, 72100, 52649, 55665, 51869, 53161, 53519, 60847, 52176, 51258, 50443, 52353, 61495, 52353, 51056, 50454, 51708, 51381, 51494, 50932, 50460, 51837, 50982, 52177, 52461, 58218, 52040, 51126, 51099, 51128, 50428, 53481, 50987, 50431, 65510, 68163, 59150, 62517, 75958, 51051, 50652, 50349, 58159, 59150, 64847, 53481, 50809, 51489, 59012, 59150, 65415, 52070, 77219, 53481, 50891, 51489, 51297, 69378, 50825, 58889, 63222, 53481, 53227, 51489, 51470, 59150, 51524, 68337, 70852, 53481, 69156, 58889, 59045, 51275, 51851, 50431, 55374, 51004, 51777, 60622, 58889, 51878, 51275, 52598, 50456, 55165, 50984, 50457, 51777, 71133, 50459, 58889, 53957, 50460, 51275, 60326, 50461, 51489, 54060, 50799, 55165, 51824, 50418, 57473, 52946, 51153, 55811, 50422, 53519, 52482, 51429, 54344, 50443, 51099, 52782, 50447, 51429, 51703, 50452, 51275, 52136, 54733, 51145, 51144, 52212, 69341, 51275, 64463, 51494, 52168, 50432, 51275, 51680, 52537, 51466, 53483, 67302, 51964, 79626, 53483, 51003, 52537, 50889, 51809, 51964, 51126, 50421, 53483, 51642, 50422, 51708, 50864, 52537, 51309, 50425, 51706, 51470, 50428, 51280, 51376, 50430, 52176, 52179, 51847, 51524, 50433, 53483, 52482, 51198, 51006, 50434, 52537, 51642, 50441, 52176, 51297, 50451, 51153, 51091, 50458, 52537, 51490, 51809, 53483, 52025, 51429, 65173, 51153, 74095, 51275, 51008, 50428, 51429, 52136, 50434, 53366, 51703, 50440, 52176, 57032, 50452, 51198, 79181, 51847, 74879, 51280, 51108, 51809, 52537, 51283, 50422, 51232, 51008, 50425, 51561, 51524, 50427, 51198, 51309, 50433, 52649, 51013, 50446, 72931, 50452, 51429, 51824, 50457, 52477, 51314, 51198, 51333, 51512, 50878, 51489, 50873, 56020, 52040, 61211, 50428, 51275, 65975, 51144, 51095, 51119, 51033, 51275, 51215, 50434, 51708, 50995, 50446, 52533, 51803, 50458, 51489, 50820, 51837, 57326, 51578, 50829, 51964, 51542, 57731, 53519, 50982, 51578, 51258, 51948, 78572, 52746, 51806, 50432, 53646, 51123, 50434, 54513, 54034, 52176, 51242, 51837, 73052, 51153, 60844, 51639, 51319, 50443, 51777, 71095, 51275, 56782, 51639, 50841, 52070, 50835, 51153, 50820, 52461, 50828, 52478, 51198, 63366, 55165, 63026, 51837, 62618, 53519, 51177, 51516, 51423, 50437, 52649, 58275, 51275, 51051, 50448, 53038, 58914, 51516, 64461, 51777, 51212, 52537, 51241, 53069, 51516, 53896, 51280, 51542, 50427, 54733, 51381, 50433, 51494, 53892, 50440, 52040, 52059, 53366, 51753, 50447, 51869, 63226, 51516, 50977, 50457, 52461, 50978, 50460, 52353, 51215, 53069, 51869, 53726, 50426, 51198, 56458, 50433, 52477, 51203, 50439, 52778, 50972, 50443, 52709, 51254, 50447, 54513, 51145, 51708, 53674, 50453, 51280, 55584, 50461, 51494, 52134, 53069, 51280, 51161, 50434, 51232, 51679, 50440, 51489, 51824, 51099, 51737, 50447, 51708, 52518, 50453, 51494, 51174, 51198, 52996, 51275, 50838, 50460, 52176, 51449, 53069, 51489, 50836, 51708, 65278, 50420, 52070, 54618, 50422, 51489, 72029, 51275, 62886, 51489, 51354, 50439, 51280, 54861, 50448, 53483, 50360, 50400, 50449, 51275, 51210, 50453, 51489, 72492, 52070, 79207, 51516, 51006, 51869, 58468, 51429, 50838, 52478, 53366, 53674, 50431, 51198, 68630, 51847, 71552, 52537, 51314, 51280, 51097, 50445, 51708, 52397, 50453, 51232, 51142, 50455, 51561, 51524, 50458, 51198, 51337, 52177, 52649, 51283, 51869, 51283, 50431, 51232, 50849, 51429, 59383, 51512, 51006, 50437, 51429, 62079, 51232, 50867, 51489, 54840, 51489, 51242, 50445, 51232, 51074, 50451, 52477, 50941, 51198, 58958, 51275, 50863, 51809, 51275, 58718, 51144, 58574, 52537, 60481, 51489, 75343, 52533, 51775, 50436, 51435, 51051, 51876, 54848, 50439, 52070, 59356 ]

[ 0, 250, 765, 37903, 9, 10, 1372, 8, 19448, 3495, 2214, 19, 15855, 16882, 6, 4246, 10, 17691, 28430, 8, 1021, 5901, 1243, 816, 5, 33301, 81, 10, 13305, 38963, 8913, 6, 278, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 8, 10, 33215, 16739, 9, 274, 6, 163, 428, 6, 230, 406, 6, 274, 6, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50450, 52714, 55405, 50309, 50807, 52303, 50807, 57117, 50807, 73410, 50983, 68150, 50983, 52303, 50983, 57117, 57345, 52355, 61008, 50309, 50795, 52303, 50795, 57117, 51646, 51784, 61008, 50307, 50795, 53075, 50795, 57117, 51918, 52186, 61008, 50306, 50795, 53075, 50795, 57117, 51798, 54108, 61008, 50306, 50795, 52303, 50795, 57117, 51923, 52714, 61008, 50306, 50795, 52303, 50795, 53722, 50795, 50799, 52355, 50983, 50730, 50307, 50983, 52303, 50983, 55677, 57345, 52278, 61008, 50307, 50795, 52303, 50795, 55677, 51646, 52278, 55405, 50307, 50807, 52303, 50807, 55677, 52728, 52186, 55405, 50308, 79260, 50807, 54437, 50807, 50799, 52355, 50983, 50730, 50307, 50983, 51476, 50983, 53369, 57345, 51784, 61008, 50307, 50795, 52326, 50795, 53369, 51646, 54649, 61008, 50307, 50795, 52326, 50795, 53369, 51918, 52714, 61008, 50307, 50795, 52326, 50795, 53369, 51798, 52355, 61008, 50307, 50795, 51476, 50795, 53369, 51923, 52278, 61008, 50307, 50795, 52326, 50795, 53369, 50795, 50799, 52714, 50983, 50730, 50306, 50983, 52303, 50983, 57117, 57345, 54649, 61008, 50307, 50795, 52690, 50795, 57117, 51646, 54108, 55405, 50306, 50807, 53075, 50807, 57117, 52728, 52714, 55405, 50309, 50807, 52303, 50807, 57117, 50807, 73410, 50983, 65621, 50983, 52303, 50983, 52557, 57345, 52173, 61008, 50313, 50795, 51476, 50795, 52557, 51646, 51802, 61008, 50312, 50795, 51410, 50795, 52557, 51918, 52186, 61008, 50312, 50795, 51410, 50795, 52557, 51798, 51784, 61008, 50312, 50795, 51687, 50795, 52557, 51923, 51900, 61008, 50312, 50795, 76351, 52557, 50795, 78321, 50983, 65621, 50983, 51231, 50983, 55677, 57345, 52278, 61008, 50307, 50795, 51687, 50795, 55677, 51646, 52186, 77979, 50807, 52102, 50807, 55243, 52728, 52355, 61008, 50308, 50807, 52102, 50807, 55243, 53312, 52278, 50795, 50799, 52714, 55405, 50309, 79364, 50807, 53369, 52910, 51900, 50918, 65621, 50918, 51303, 50918, 53369, 56811, 51784, 55405, 50313, 74701, 53369, 50807, 58106, 52186, 51161, 68150, 51161, 51410, 51161, 52557, 51161, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 8, 33928, 3495, 14123, 22750, 1626, 8593, 26358, 19, 63, 15352, 30054, 3459, 8669, 8, 13305, 4798, 17130, 6, 2800, 30, 10, 5204, 12638, 1451, 4, 8504, 11, 5, 762, 9, 230, 538, 6, 24, 11498, 10, 7212, 20889, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 2351, 10, 33558, 8, 17627, 17274, 5466, 1969, 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, 0, 0, 0, 0 ]

[ 54458, 52129, 52116, 50798, 52163, 57221, 50799, 50682, 50328, 50930, 53760, 50808, 52569, 53618, 52244, 50682, 50330, 50993, 51959, 50820, 52569, 50839, 52930, 50813, 52569, 60980, 51973, 58644, 53632, 52119, 50682, 50328, 50803, 51959, 50834, 52930, 50820, 52569, 50813, 52569, 53352, 52057, 50682, 50330, 50976, 53760, 50808, 52569, 62067, 52284, 52930, 50835, 51959, 50886, 52569, 55106, 52116, 50682, 50328, 50976, 58644, 50854, 52569, 60665, 52163, 69143, 50854, 51959, 50820, 52569, 50820, 52930, 54200, 51779, 50803, 52198, 50803, 50799, 73604, 50950, 56223, 50812, 51959, 54923, 52244, 50682, 50326, 50975, 51959, 50825, 52930, 50834, 52092, 50857, 54282, 50864, 52092, 69652, 51973, 56223, 53590, 52119, 73604, 51010, 51959, 50825, 52092, 50835, 52930, 50829, 54282, 50904, 51959, 54806, 52057, 50682, 50326, 50975, 53760, 50833, 52092, 56426, 52284, 51959, 50835, 52092, 50829, 54282, 50863, 52930, 53352, 52116, 73604, 50976, 62422, 50854, 51959, 69959, 52163, 51959, 50813, 52092, 50855, 54282, 50886, 52930, 54597, 50803, 50799, 74704, 50803, 54117, 50833, 52427, 60922, 52244, 73604, 50976, 52627, 50834, 52427, 50886, 52569, 54345, 51973, 56223, 52972, 52119, 74704, 50962, 52427, 50867, 52569, 50862, 52627, 54597, 52057, 73604, 50860, 54117, 51747, 52284, 52427, 50867, 52569, 50862, 52627, 54597, 52116, 74704, 50806, 56223, 52972, 52163, 52427, 50857, 52569, 50855, 52627, 54597, 50803, 50799, 65119, 52379, 54117, 50808, 51771, 78706, 52244, 52427, 50857, 52092, 50855, 52627, 53352, 52801, 50804, 51973, 56223, 50854, 51816, 59486, 52119, 52427, 50857, 52092, 50855, 52627, 53352, 52057, 54117, 50833, 52158, 70306, 52284, 50679, 50275, 50833, 52427, 50857, 52092, 50854, 52569, 53632, 51779, 50803, 52612, 52116, 78742, 50854, 52427, 66711, 52163, 79353, 50854, 52627, 50834, 52427, 50862, 52092, 50862, 52569, 53303, 51779, 50803, 50799, 73604, 51012, 58644, 50854, 51959, 53948, 52244, 74704, 51012, 52158, 50813, 52627, 50862, 52577, 50854, 52158, 71441, 51973, 56223, 51747, 52119, 50682, 50322, 50821, 52158, 50855, 51816, 50844, 52577, 50833, 52627, 54806, 52057, 73604, 50976, 58341, 50812, 51959, 71160, 52284, 52158, 50862, 52577, 50862, 52627, 54597, 52116, 74704, 50802, 55704, 50808, 52158, 64861, 52163, 52158, 50862, 52577, 50855, 52627, 54806, 50803, 50799, 63198, 51870, 51915, 51003, 51959, 60881, 52244, 52158, 50857, 52577, 50862, 52627, 53352, 51973, 52447, 56001, 52119, 52158, 50855, 52577, 50813, 52627, 54597, 50803, 52594, 52057, 52331, 50914, 52775, 61011, 52284, 52158, 50862, 52577, 50862, 52627, 54597, 50803, 52612, 52116, 54117, 50943, 51771, 55530, 52163, 51959, 50805, 52577, 50849, 54462, 52918, 50803, 50799, 73109, 50882, 53760, 50854, 51959, 50862, 52569, 50862, 52930, 50862, 51959, 64250, 52244, 73604, 50976, 51959, 50839, 52569, 50854, 52930, 54172, 51973, 53760, 53632, 52119, 50682, 50328, 50812, 51959, 50862, 52569, 50862, 52930, 54597, 52057, 50682, 50332, 50976, 62422, 50859, 52092, 72213, 52284, 52092, 50822, 54282, 50822, 52930, 51779, 52116, 50682, 50330, 50976, 51482, 52972, 52163, 54282, 50862, 52092, 50822, 52930, 51779, 50803, 50799, 50682, 50328, 51795, 54117, 50812, 52158, 57787, 52244, 52158, 50835, 52092, 50867, 52569, 50867, 52627, 53352, 51973, 54117, 50854, 52577, 52015, 50798, 52119, 52158, 50813, 52092, 50857, 52569, 50862, 52627, 54597, 58198, 54117, 53945, 51915, 53590, 60295, 51915, 54394, 52447, 50933, 52158, 50839, 52577, 50862, 52627, 53303, 51779, 52116, 52331, 55759, 50803, 55350, 52163, 54117, 50933, 52158, 50841, 52577, 50840, 52627, 53303, 51779, 50803, 50799, 50682, 50328, 51010, 53760, 50854, 52569, 53983, 52244, 50682, 50330, 50802, 51959, 50839, 52569, 50862, 52930, 50855, 52569, 68798, 51973, 58644, 53632, 52119, 50682, 50328, 50858, 51959, 50839, 52569, 50855, 52930, 50836, 52569, 53119, 52057, 50682, 50330, 50860, 53760, 50833, 52569, 75751, 52284, 51959, 50862, 52569, 50854, 52930, 53497, 52116, 50682, 50328, 51505, 55704, 50854, 52577, 50886, 54462, 50857, 52569, 69959, 52163, 58341, 50854, 53234, 50810, 52627, 53590, 51779, 50803, 50799, 73604, 50950, 56223, 50854, 51959, 52784, 52244, 50682, 50326, 50976, 51959, 50839, 52092, 50862, 54282, 50854, 52092, 64544, 51973, 78742, 53632, 52119, 73604, 50803, 51959, 50855, 52092, 50836, 51959, 50854, 54282, 54172, 52057, 50682, 50326, 50976, 56223, 50854, 52092, 59407, 52284, 51959, 50839, 52092, 50855, 54282, 54597, 52116, 73604, 50802, 78742, 50844, 51959, 58610, 52163, 50679, 50276, 50822, 51959, 50862, 52092, 50836, 54282, 52784, 51779, 50803, 50799, 74704, 50950, 50679, 50275, 50854, 52427, 53197, 52244, 73604, 51505, 52427, 50857, 52569, 50855, 52627, 50857, 52427, 73325, 51973, 78742, 53632, 52119, 74704, 50950, 52427, 50857, 52569, 50855, 52627, 50862, 52427, 54172, 52057, 73604, 50802, 62761, 50833, 52427, 71160, 52284, 52627, 50820, 52427, 50862, 52569, 54345, 52116, 74704, 51505, 79353, 50854, 52427, 63477, 52163, 52627, 50835, 52427, 50862, 52569, 53497, 50803, 50799, 65119, 51505, 54117, 51255, 51771, 75751, 52244, 52627, 50863, 51959, 50862, 52092, 50862, 52569, 54597, 52801, 50804, 51973, 65119, 51505, 53760, 51255, 51771, 58610, 52119, 52627, 50834, 51959, 50813, 52092, 50862, 52569, 54806, 52057, 68475, 51012, 55704, 51255, 51771, 69607, 52284, 52627, 50834, 52427, 50886, 52569, 53352, 50803, 52612, 52116, 73109, 51138, 56223, 51221, 51771, 63477, 52163, 52627, 50839, 52427, 50813, 52569, 54806, 50803, 50799, 73604, 50823, 58644, 50854, 51959, 54035, 52244, 73604, 50803, 51771, 50803, 52158, 50803, 51959, 50803, 51959, 56369, 51973, 74704, 51300, 56223, 50833, 52158, 78711, 52119, 51771, 50803, 52158, 50803, 51959, 51779, 52057, 55704, 53590, 52284, 52126, 50803, 51771, 50803, 52158, 50803, 51959, 51779, 52116, 58644, 53590, 52163, 50682, 50322, 50882, 52126, 50803, 51771, 50803, 51816, 50844, 52158, 50803, 51959, 51779, 50803, 50799, 73604, 50976, 55704, 50808, 51959, 70811, 52244, 52126, 50857, 52158, 50813, 51959, 50855, 51771, 54806, 51973, 74704, 50860, 54117, 50810, 52158, 62067, 52119, 52158, 50836, 52126, 50833, 51771, 50854, 51959, 51779, 52057, 73604, 50860, 51915, 50854, 51959, 51411, 50798, 52284, 52126, 50862, 52158, 50813, 51771, 50854, 51959, 51779, 52116, 74704, 51012, 54117, 50833, 52158, 55568, 52163, 52158, 50855, 52126, 50833, 51771, 50833, 51959, 51779, 50803, 50799, 73109, 51870, 53760, 50808, 51816, 63732, 52244, 51816, 50813, 51959, 50803, 52092, 50833, 51890, 57990, 51973, 53760, 53590, 52119, 51816, 50836, 52092, 50840, 51890, 50808, 51959, 51779, 52057, 50682, 50333, 51009, 62761, 50812, 54057, 80174, 52284, 53464, 50862, 51890, 50833, 51771, 50833, 52158, 54806, 52116, 62761, 51747, 52163, 51890, 50833, 51771, 50833, 52158, 50925, 53464, 57990, 50803, 50799, 50682, 50333, 54217, 53760, 50859, 52930, 51448, 68153, 54024, 54117, 54507, 52331, 50887, 51816, 50862, 51959, 50862, 52569, 54597, 55054, 53180, 54218, 52710, 51915, 51670, 51779, 53300, 51482, 54742, 52749, 52191, 50840, 51816, 50862, 51959, 50862, 52569, 53630, 51779, 51998, 50435, 51726, 54742, 52841, 51425, 50803, 51816, 50862, 51959, 50862, 52569, 53630, 51779, 52116, 53760, 51264, 51816, 51353, 51959, 51353, 52569, 51353, 68153 ]

[ 0, 250, 2635, 8, 3722, 3495, 2125, 11, 230, 10431, 3694, 6, 42, 8787, 13305, 15229, 7630, 6568, 6453, 9, 657, 8, 26545, 6, 442, 24, 157, 12, 9228, 4560, 13, 822, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 16331, 33215, 16739, 9, 2060, 406, 6, 230, 10431, 119, 6, 8, 2060, 6, 8216, 7, 63, 15352, 30054, 8, 32625, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 50799, 50619, 51040, 50830, 51966, 51036, 51378, 51036, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 60278, 50989, 56388, 59836, 57346, 50830, 51841, 51036, 51315, 51036, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 60278, 50989, 56388, 59836, 54206, 50830, 51799, 50918, 51120, 50918, 50418, 50989, 56908, 50877, 53244, 50899, 59161, 50989, 56080, 50877, 53402, 66432, 54637, 50918, 51324, 50918, 50442, 50861, 57225, 50973, 53484, 50899, 60278, 50861, 56388, 69315, 57346, 50830, 52759, 50918, 51360, 50918, 50418, 50871, 56908, 50973, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 50830, 52759, 50918, 51360, 50918, 50442, 50989, 57225, 50965, 53484, 51040, 60278, 50871, 56388, 76251, 56310, 50830, 51966, 51036, 51360, 51036, 51378, 51036, 50418, 51040, 56908, 50989, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 51040, 63792, 50989, 57225, 50877, 53484, 51040, 50830, 51028, 50991, 50454, 50989, 56388, 50877, 57814, 67243, 57346, 50830, 51028, 51161, 51247, 51036, 51360, 51036, 51050, 51036, 50418, 50965, 56908, 50973, 53244, 51040, 59161, 50965, 56080, 50973, 53402, 51040, 63792, 50965, 57225, 50973, 53484, 51040, 50830, 51028, 50991, 50454, 50965, 56388, 50973, 57814, 67243, 57346, 50830, 51966, 50918, 51378, 50918, 51028, 50918, 50418, 50989, 56908, 50877, 53244, 51040, 59161, 50989, 56080, 50877, 53402, 66432, 54637, 50918, 51324, 68900, 50918, 50442, 50989, 57225, 50973, 53484, 50899, 60278, 50989, 56388, 69315, 57346, 50830, 51841, 50918, 51315, 50918, 51028, 50918, 50418, 50916, 56908, 50877, 53244, 51040, 59161, 50916, 56080, 50877, 53402, 66432, 50973, 50807, 51841, 50918, 51315, 50918, 50442, 50916, 57225, 50965, 53484, 66432, 50968, 50807, 50454, 50916, 56388, 76251, 57346, 50830, 50877, 50807, 51279, 51036, 51027, 51036, 50418, 50916, 56908, 50877, 53244, 51040, 59161, 50916, 56080, 50877, 53402, 51040, 63792, 50916, 57225, 50877, 53484, 51040, 60278, 50916, 56388, 59836, 53975, 50830, 51279, 51036, 51027, 51036, 50418, 50916, 56908, 50877, 53244, 50900, 59161, 50916, 56080, 50877, 53402, 50900, 63792, 50916, 57225, 50877, 53484, 64566, 71923, 50454, 50916, 56388, 50877, 57814, 56143, 53975, 50830, 50876, 51161, 51214, 51036, 51026, 51036, 50418, 50916, 56908, 50906, 53244, 50900, 59161, 50916, 56080, 50906, 53402, 50900, 63792, 50916, 57225, 50906, 53484, 64566, 71923, 50454, 50916, 56388, 50906, 57814, 56143, 53975, 50830, 51247, 71570, 55695, 51161, 50418, 50871, 56908, 50877, 53244, 64566, 51841, 50807, 51315, 50807, 50430, 50916, 56080, 50877, 53402, 64566, 52046, 50918, 51197, 50918, 50442, 50989, 57225, 50877, 53484, 51086, 50830, 50973, 50807, 50454, 50989, 56388, 59836, 57542, 50830, 51841, 50918, 51315, 73757, 50918, 50418, 50916, 56908, 50861, 53244, 51086, 59161, 50916, 56080, 50861, 53402, 64566, 51279, 72778, 50442, 50916, 57225, 50989, 53484, 76983, 51085, 57543, 50807, 50454, 50916, 56388, 77206, 57542, 50830, 51324, 73757, 50918, 50418, 50916, 56908, 50861, 53244, 51086, 59161, 50916, 56080, 50861, 53402, 51086, 50830, 54637, 50918, 51324, 73757, 50918, 50442, 50956, 57225, 50989, 53484, 51086, 60278, 50956, 56388, 77206, 55524, 50830, 51841, 52382, 51315, 52382, 50418, 50861, 56908, 50973, 53244, 50916, 59161, 50861, 56080, 50973, 53402, 50916, 63792, 50965, 57225, 50973, 53484, 65927, 50968, 51054, 50454, 50965, 56388, 69315, 55524, 50830, 50931, 51161, 50418, 50877, 56908, 50876, 53244, 65927, 51279, 53531, 50301, 51054, 50430, 50877, 56080, 50876, 53402, 65927, 51085, 53531, 50304, 51054, 50442, 50877, 57225, 50876, 53484, 65927, 51279, 53531, 50301, 53531, 50319, 51054, 50454, 50877, 56388, 56251, 55524, 50830, 50968, 51161, 51841, 56073, 51315, 56073, 50418, 50965, 56908, 50973, 53244, 50916, 59161, 50965, 56080, 50973, 53402, 50916, 63792, 50965, 57225, 50973, 53484, 65927, 50968, 51054, 50454, 50965, 56388, 69315, 55524, 50830, 50931, 51161, 50418, 50877, 56908, 50876, 53244, 65927, 51279, 53531, 50301, 51054, 50430, 50877, 56080, 50876, 53402, 65927, 51085, 53531, 50304, 51054, 50442, 50877, 57225, 50876, 53484, 65927, 51279, 53531, 50301, 53531, 50319, 51054, 50454, 50877, 56388, 56251, 55524, 50830, 51841, 51527, 51315, 51527, 50968, 50918, 50418, 50965, 56908, 50973, 53244, 50916, 59161, 50965, 56080, 50973, 53402, 65927, 52759, 51527, 51360, 51527, 50968, 51527, 50442, 50861, 57225, 50906, 53484, 50916, 60278, 50861, 56388, 60074, 55524, 50830, 53492, 51527, 51234, 51527, 50968, 50918, 50418, 50989, 56908, 51028, 53244, 50916, 59161, 50989, 56080, 51028, 53402, 66432, 54637, 51527, 51324, 51527, 50902, 51527, 50442, 50989, 57225, 50973, 53484, 50899, 60278, 50989, 56388, 69315, 53975, 50830, 51841, 51527, 51315, 51527, 50876, 50918, 50418, 50916, 56908, 50861, 53244, 50900, 59161, 50916, 56080, 50861, 53402, 51086, 50830, 51247, 51527, 51050, 51527, 50973, 51527, 50442, 50899, 57225, 50965, 53484, 51086, 60278, 50899, 56388, 76251, 59130, 51014, 51966, 51527, 50989, 51527, 50418, 51086, 51014, 63715, 61177, 51378, 51014, 50430, 51086, 78137, 50899, 62591, 51378, 51014, 50989, 53531, 50286, 51527, 50442, 51086, 51014, 50446, 51040, 61208, 51378, 51014, 50989, 51054, 50454, 50997, 75183, 51040, 51014, 57542, 51014, 54637, 52208, 51966, 52208, 51324, 52208, 50418, 50899, 51014, 50422, 50989, 51014, 53337, 51014, 50430, 50989, 78137, 50973, 62591, 50989, 51014, 50442, 50973, 51014, 50446, 50902, 61208, 50989, 51014, 51114, 51460, 50454, 50973, 75183, 50902, 51014, 50459, 51114, 50894, 57126, 50830, 51114, 52369, 51234, 52208, 51378, 52208, 50997, 52208, 50418, 51028, 56908, 50968, 53244, 50989, 59161, 51028, 56080, 50968, 53402, 50989, 63792, 51028, 57225, 50968, 53484, 77206, 51114, 51460, 50454, 51028, 56388, 50968, 57814, 51114, 50894, 57126, 50830, 51324, 50918, 51086, 50918, 51114, 51527, 50418, 50973, 56908, 50902, 53244, 50989, 59161, 50973, 56080, 50902, 53402, 61617, 51503, 50807, 51176, 59351, 51054, 50442, 50973, 57225, 50902, 53484, 77206, 51966, 50807, 51378, 73412, 51054, 50454, 50973, 56388, 60537, 57190, 50830, 51247, 51161, 51360, 51161, 51050, 51161, 51147, 51161, 50418, 50973, 56908, 51028, 53244, 50965, 59161, 50973, 56080, 51028, 53402, 50965, 63792, 50973, 57225, 51028, 53484, 76251, 51247, 50807, 51360, 71570, 78210, 50807, 50454, 50973, 56388, 51028, 50830, 54852, 50830, 51966, 50918, 51360, 50918, 51378, 50918, 50999, 50918, 50418, 51028, 56908, 51114, 53244, 50877, 59161, 51028, 56080, 51114, 53402, 76251, 54637, 50807, 51324, 78210, 50807, 50442, 50973, 57225, 50902, 53484, 54637, 50830, 51324, 50830, 77206, 51114, 50807, 50454, 50877, 56388, 65133, 56229, 50830, 52759, 51036, 51360, 51036, 50418, 50871, 56908, 50965, 53244, 51028, 50830, 51028, 63057, 50807, 74413, 56080, 50965, 53402, 60537, 50902, 64953, 50442, 50871, 57225, 50965, 53484, 69315, 50973, 60939, 50807, 50454, 50871, 56388, 76251, 75697, 51036, 51360, 51036, 50418, 50871, 56908, 50965, 53244, 51040, 50830, 51040, 73685, 50807, 74413, 56080, 50965, 53402, 66432, 50899, 59153, 50807, 50442, 50871, 57225, 50965, 53484, 51086, 50830, 51086 ]

[ 0, 250, 15352, 30054, 3495, 8, 11057, 24904, 2125, 6, 42, 2214, 22750, 1626, 11098, 8, 26545, 4, 2595, 10312, 30, 41, 12547, 9, 30062, 620, 7085, 12280, 642, 6, 21072, 6, 769, 196, 6757, 6, 13305, 6, 8, 2724, 368, 31365, 25999, 6, 24, 11498, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 2060, 538, 6, 24, 1575, 10, 33215, 13931, 9, 2060, 401, 8, 230, 119, 6, 8216, 7, 63, 32625, 13569, 9862, 4, 590, 10, 13428, 9, 29065, 2397, 6, 24, 18, 10, 24897, 3251, 149, 10, 11739, 9, 23409, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50438, 50913, 55368, 50913, 50971, 53721, 60801, 50913, 55735, 50856, 56138, 78693, 51132, 51803, 51755, 59220, 62073, 55217, 52386, 50304, 51714, 50420, 51236, 56685, 54731, 50309, 54869, 51170, 55217, 78176, 54342, 53360, 51586, 56685, 54191, 50316, 51313, 50438, 51236, 55217, 79392, 50965, 51318, 50444, 51236, 57258, 51297, 50445, 51533, 51534, 50450, 51240, 55217, 51000, 50455, 50989, 53581, 50852, 64371, 56685, 51297, 50457, 51957, 50838, 51755, 50904, 51248, 51586, 55217, 52386, 50304, 52222, 50871, 51411, 50415, 51132, 52071, 50420, 51236, 56685, 51297, 50421, 50956, 51662, 50426, 51170, 55217, 70001, 50871, 52015, 50432, 53360, 51586, 56685, 54191, 50312, 51447, 50438, 51236, 55217, 57522, 51236, 57258, 60258, 51240, 55217, 51000, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 51803, 76945, 52069, 50420, 51236, 56685, 51297, 50421, 50871, 76906, 51170, 55217, 70202, 68766, 53360, 51586, 56685, 54191, 50314, 56656, 51236, 55217, 57522, 51236, 57258, 54731, 50312, 50981, 50445, 51533, 51534, 50450, 50852, 78737, 55217, 51000, 56672, 59608, 56685, 54731, 50310, 51576, 50457, 51957, 51328, 51755, 50904, 51248, 51586, 55217, 52386, 50304, 52071, 50415, 51132, 52071, 50420, 51236, 56685, 54731, 50307, 51662, 50426, 51170, 55217, 75868, 51749, 50432, 53360, 53323, 64371, 56685, 54191, 50312, 51419, 50438, 51236, 55217, 57522, 51236, 57258, 51297, 50445, 50876, 52256, 50447, 51170, 54915, 51240, 54940, 70185, 51240, 51297, 56672, 50372, 52526, 50366, 51613, 54800, 51297, 51755, 50904, 51248, 52526, 64371, 55217, 50971, 51132, 55277, 50900, 54143, 50871, 53478, 50876, 53478, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79392, 65167, 56306, 51236, 57258, 60258, 51240, 55217, 51000, 50455, 50723, 50307, 51363, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 66981, 50723, 50310, 51939, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 71598, 50900, 64488, 51236, 55217, 75770, 51535, 50444, 51236, 57258, 54731, 50314, 50995, 50449, 51533, 78271, 51240, 55217, 51000, 50455, 51957, 54298, 56672, 64371, 56685, 54731, 50316, 51051, 50461, 50900, 52151, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 53413, 50871, 52335, 50420, 51236, 56685, 61288, 51170, 55217, 64463, 50723, 50310, 53911, 53360, 51586, 56685, 73370, 66964, 74610, 51236, 55217, 57522, 51236, 57258, 60258, 51240, 55217, 78454, 50723, 50310, 50955, 56672, 64371, 56685, 51297, 50460, 50723, 50310, 51242, 50461, 51050, 51391, 51755, 50904, 51248, 51586, 55217, 72428, 50900, 60726, 51236, 56685, 51297, 65167, 51742, 50426, 51170, 55217, 75868, 79309, 53360, 51586, 56685, 54191, 50316, 51351, 50437, 51132, 57937, 51236, 55217, 57522, 51456, 64371, 57258, 54731, 50314, 51397, 50450, 51456, 60381, 55217, 51000, 51132, 65632, 51381, 50455, 51533, 51242, 56672, 50372, 53823, 55217, 54731, 50309, 51534, 51755, 50904, 71891, 59548, 55217, 50971, 51132, 55482, 50900, 62557, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79743, 50931, 51452, 50443, 65167, 75115, 51236, 57258, 51297, 50445, 50876, 52168, 50450, 51240, 55217, 78454, 50723, 50307, 50959, 56672, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 50723, 50310, 70589, 51236, 56685, 51297, 50421, 50723, 50310, 65785, 51170, 55217, 64463, 50723, 50310, 52783, 50432, 53360, 51586, 56685, 54191, 50310, 50981, 50437, 50965, 72762, 51236, 55217, 57522, 51236, 57258, 51297, 51533, 59478, 57105, 51240, 55217, 52666, 50310, 51121, 56672, 64371, 56685, 51297, 51957, 55512, 51423, 51755, 50904, 51248, 51586, 55217, 50971, 51132, 53413, 50871, 51452, 50420, 51236, 56685, 61288, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 79392, 66964, 56306, 51236, 57258, 60258, 51240, 55217, 51000, 50455, 50723, 50310, 54194, 50852, 64371, 56685, 51297, 51755, 50904, 51248, 51586, 55217, 50971, 50723, 50310, 51328, 50420, 51236, 56685, 51297, 65167, 72440, 51170, 55217, 55487, 53360, 51586, 56685, 60438, 51236, 55217, 51000, 51132, 51008, 50965, 51095, 50441, 50876, 51267, 54141, 55217, 51297, 51132, 51962, 50317, 54230, 53360, 51071, 76922, 50372, 58934, 55217, 51000, 51533, 67883, 77304, 50920, 51297, 50458, 51001, 50886, 51755, 50372, 52526, 64371, 55217, 50971, 51640, 55116, 51040, 52140, 50989, 51692, 55997, 64371, 56685, 51297, 50421, 50906, 51662, 51768, 61391, 55217, 52386, 50317, 52168, 50431, 57249, 53911, 53360, 51259, 64371, 56685, 51128, 55957, 75753, 57249, 53264, 50856, 64371, 55217, 79392, 60530, 55200, 51236, 57258, 51297, 50449, 54783, 50905, 51955, 60381, 55217, 51000, 56672, 64371, 56685, 51297, 66964, 50844, 51755, 50904, 51248, 51586, 55217, 50971, 59659, 51400, 55997, 64371, 56685, 51297, 50425, 60530, 50901, 51768, 61391, 55217, 55487, 53360, 51259, 64371, 56685, 51128, 59659, 51417, 55957, 51297, 56797, 64371, 55217, 57522, 51236, 57258, 51297, 51955, 60381, 55217, 51000, 51640, 68369, 51100, 50453, 69429, 56672, 64371, 56685, 54731, 50317, 50849, 51755, 50904, 51248, 51586, 55217, 50971, 51602, 53413, 50876, 51351, 50965, 51945, 55997, 64371, 56685, 51297, 51768, 61391, 55217, 52386, 50307, 55586, 50427, 66964, 59780, 53360, 51259, 64371, 56685, 51128, 59659, 50878, 50876, 51145, 55957, 51297, 50436, 66964, 50959, 56797, 64371, 55217, 65246, 54783, 51391, 50444, 51236, 57258, 51297, 51955, 60381, 55217, 78454, 66964, 50955, 56672, 64371, 56685, 51297, 50460, 59659, 51101, 51755, 50904, 51248, 51586, 55217, 55650, 50832, 64371, 56685, 51297, 65167, 51145, 51768, 61391, 55217, 55487, 53360, 51259, 64371, 56685, 51128, 55957, 75753, 51602, 51080, 56797, 64371, 55217, 52666, 50307, 50943, 50441, 50965, 71493, 51456, 64371, 57258, 51297, 50445, 50876, 50995, 50447, 51456, 60678, 51456, 62468, 55217, 52666, 50321, 62034, 51236, 56685, 54731, 50319, 50972, 51755, 50372, 52526, 64371, 55217, 50971, 51640, 53295, 50906, 51115, 50989, 51351, 55997, 64371, 56685, 51297, 51768, 55892, 60380, 55217, 52386, 50317, 52063, 50432, 53360, 51259, 64371, 56685, 51128, 57249, 63772, 51677, 50434, 50906, 51714, 55957, 51297, 56797, 64371, 55217, 51000, 57249, 50901, 50443, 60530, 56391, 51236, 57258, 51297, 50449, 54783, 50978, 51955, 55892, 71402, 55217, 51000, 50455, 66964, 54900, 50852, 64371, 56685, 51297, 50461, 59659, 50892, 51755, 50904, 71891, 64371, 55217, 55650, 50832, 64371, 56685, 51297, 50421, 60530, 51267, 51768, 55892, 60380, 55217, 52386, 50317, 51328, 50989, 60539, 53360, 51259, 64371, 56685, 51128, 59659, 51115, 50906, 51775, 50989, 51480, 55957, 51297, 56797, 64371, 55217, 57522, 51236, 57258, 54731, 50314, 51542, 51955, 55892, 71402, 55217, 51000, 51640, 75286, 51194, 56672, 64371, 56685, 54731, 50317, 50851, 51755, 50904, 71891, 64371, 55217, 50971, 51602, 52096, 50876, 59229, 51255, 50419, 66964, 52415, 50312, 51645, 55997, 64371, 56685, 51297, 51768, 55892, 60380, 55217, 50971, 59659, 50845, 50431, 66964, 54221, 53360, 51259, 64371, 56685, 54191, 50316, 51790, 50965, 51803, 50956, 51047, 55957, 75753, 54783, 51295, 56797, 64371, 55217, 57522, 51236, 57258, 67676, 50856, 51297, 51955, 60381, 55217, 51000, 50455, 66964, 54194, 50856, 64371, 56685 ]

[ 0, 250, 8787, 5175, 15229, 11, 274, 538, 6, 42, 2125, 30853, 23, 41, 178, 5285, 20889, 6, 63, 204, 73, 306, 86, 6543, 1976, 10, 5204, 22293, 4, 20, 13305, 52, 9419, 10, 5797, 990, 1506, 9, 34879, 6, 7630, 14805, 10, 25306, 5466, 326, 25963, 19, 15073, 8, 11926, 4, 20, 40286, 230, 406, 73, 717, 6, 274, 6, 274, 119, 6, 230, 10431, 6, 8, 12608, 406, 73, 534, 1606, 5581, 7, 5, 46336, 5252, 6, 13869, 5, 30443, 7, 12327, 8, 4356, 2089, 1090, 1235, 11, 5, 930, 18, 36355, 2088, 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 ]

[ 57448, 51247, 51269, 50417, 51966, 51269, 51050, 64080, 51247, 66495, 51966, 51269, 51050, 58844, 51247, 51269, 50429, 51966, 51269, 51050, 60816, 51247, 70855, 51966, 51269, 51050, 61929, 51247, 51269, 50441, 51966, 51269, 51050, 62622, 51247, 51269, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 51027, 58194, 77204, 51966, 51269, 51050, 51269, 50454, 50871, 54088, 50456, 51247, 51269, 50458, 50871, 54088, 50459, 51966, 51269, 51050, 51269, 54734, 51269, 50871, 54088, 50997, 69711, 50981, 50417, 51966, 51269, 51050, 51269, 50418, 50871, 54088, 50989, 54088, 50420, 51247, 51269, 63714, 54088, 50989, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50871, 54088, 50989, 51178, 51040, 70342, 51966, 51269, 51050, 51269, 74413, 54088, 50989, 54088, 50432, 51247, 51269, 50434, 50871, 54088, 50989, 64759, 51966, 51269, 51050, 61929, 51247, 51269, 50956, 54088, 50900, 69711, 51013, 50441, 51966, 51269, 51050, 51269, 50442, 50956, 54088, 50989, 54088, 50444, 51247, 51269, 50446, 50956, 54088, 50989, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50956, 54088, 50989, 51215, 50997, 70256, 51966, 51269, 51050, 51269, 50454, 50956, 54088, 50989, 54088, 50456, 51247, 51269, 50458, 50956, 54088, 50989, 71428, 51966, 51269, 51050, 51269, 54734, 51269, 50956, 54088, 50871, 54088, 51027, 66743, 51352, 50417, 51966, 51269, 51050, 51269, 50418, 50956, 54088, 50871, 54088, 50420, 51247, 51269, 50422, 50956, 54088, 50871, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50956, 54088, 50871, 54088, 50429, 51966, 51269, 51050, 51269, 79471, 54088, 50871, 54088, 50432, 51247, 51269, 50434, 50956, 54088, 50871, 54088, 50435, 51966, 51269, 51050, 61929, 51247, 51269, 50956, 54088, 50871, 54088, 51026, 66977, 51966, 51269, 51050, 51269, 50442, 50956, 54088, 50871, 54088, 50444, 51247, 51269, 50446, 50956, 54088, 50871, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50956, 54088, 72302, 50997, 70256, 51966, 51269, 51050, 51269, 50454, 50956, 54088, 50871, 54088, 50456, 51247, 51269, 50458, 50956, 54088, 62676, 50459, 51966, 51269, 51050, 51269, 54734, 51269, 50956, 54088, 51027, 58194, 50981, 50417, 51966, 51269, 51050, 51269, 50418, 50956, 54088, 50871, 54088, 50420, 51247, 51269, 50422, 50956, 54088, 50871, 54088, 50423, 51966, 51269, 51050, 58844, 51247, 51269, 50956, 54088, 72302, 50900, 70342, 51966, 51269, 51050, 51269, 79471, 54088, 50871, 54088, 50432, 51247, 51269, 50434, 50956, 54088, 50871, 75339, 51966, 51269, 51050, 61929, 51247, 51269, 51040, 54088, 50997, 58194, 51013, 50441, 51966, 51269, 51050, 51269, 50442, 51040, 54088, 50444, 51247, 51269, 50446, 51040, 54088, 50447, 51966, 51269, 51050, 60205, 51247, 51269, 50900, 54088, 50871, 50952, 51027, 70256, 51966, 51269, 51050, 51269, 50454, 50900, 54088, 50871, 58298, 51841, 51269, 50458, 50900, 54088, 65080, 50459, 51247, 51269, 51050, 51269, 62368, 51269, 50997, 54088, 50871, 54088, 50997, 51080, 51028, 51127, 50417, 51279, 51269, 51378, 51269, 50418, 56963, 50906, 61378, 51966, 51269, 50422, 56963, 67695, 50423, 51279, 51269, 51378, 58844, 51966, 51269, 56963, 67695, 50429, 51279, 51269, 51378, 51269, 50430, 56963, 50906, 56626, 51966, 51269, 50434, 56963, 50906, 65153, 51279, 51269, 51378, 61929, 51966, 51269, 60471, 67695, 51040, 51283, 50441, 51279, 51269, 51378, 51269, 50442, 60471, 50906, 57940, 51966, 51269, 50446, 60471, 50906, 64043, 51279, 51269, 51378, 60205, 51966, 51269, 60471, 67695, 50453, 51279, 51269, 51378, 51269, 50454, 60471, 50906, 57131, 51247, 51269, 50899, 70529, 60471, 50906, 62908, 51966, 51269, 54795, 51269, 67695, 51028, 50933, 51234, 62139, 60420, 52297, 50319, 51013, 50417, 51279, 51269, 51026, 51269, 50418, 67695, 51028, 61378, 51214, 51269, 50422, 67695, 51028, 67829, 51279, 51269, 51026, 58844, 51214, 51269, 67695, 51028, 50933, 50956, 70354, 65708, 51279, 51269, 51026, 51269, 50430, 67695, 51028, 56626, 51214, 51269, 50956, 70354, 67449, 67695, 51028, 65153, 51279, 51269, 51026, 61929, 51214, 51269, 67695, 51028, 50933, 51234, 51260, 50296, 62215, 74335, 50943, 50441, 51279, 51269, 51026, 51269, 50442, 67695, 51028, 57940, 51214, 51269, 50446, 67695, 51028, 64043, 51279, 51269, 51026, 60205, 51214, 51269, 67695, 51028, 50933, 51234, 62139, 60420, 66714, 65371, 51279, 51269, 51026, 51269, 50454, 67695, 51028, 57131, 51966, 51269, 50956, 66714, 73752, 67695, 51028, 62908, 51214, 51269, 58439, 51269, 50965, 50933, 64304, 51085, 62139, 60420, 51145, 51001, 51145, 50417, 51279, 51269, 51176, 51269, 50418, 50965, 50933, 50876, 61378, 51503, 51269, 50422, 50965, 50933, 64304, 50423, 51279, 51269, 51176, 58844, 51503, 51269, 50965, 50933, 64304, 50429, 51279, 51269, 51176, 51269, 50430, 50965, 50933, 50876, 56626, 51503, 51269, 50434, 50965, 50933, 64304, 50435, 51279, 51269, 51176, 61929, 51503, 51269, 50965, 50933, 64304, 50441, 51279, 51269, 51176, 51269, 50442, 50965, 57940, 51503, 51269, 50446, 50965, 64043, 51279, 51269, 51176, 60205, 51503, 51269, 50900, 59219, 77204, 51279, 51269, 51176, 51269, 50454, 50965, 57131, 51503, 51269, 50458, 50965, 62908, 51279, 51269, 51176, 51269, 58439, 51269, 50965, 54088, 51040, 59219, 50981, 50417, 51279, 51269, 51176, 51269, 50418, 50965, 54088, 50420, 51503, 51269, 50422, 50965, 54088, 50423, 51279, 51269, 51176, 58844, 51503, 51269, 50965, 54088, 65645, 50916, 70342, 51279, 51269, 51176, 51269, 50430, 50965, 54088, 50906, 54088, 50432, 51503, 51269, 50434, 50965, 54088, 62927, 50435, 51279, 51269, 51176, 61929, 51503, 51269, 50989, 54088, 50956, 59219, 51013, 50441, 51279, 51269, 51176, 51269, 50442, 50989, 54088, 50444, 51503, 51269, 50446, 50989, 54088, 50447, 51279, 51269, 51176, 60205, 51503, 51269, 50989, 54088, 50877, 51215, 51040, 70256, 51279, 51269, 51176, 51269, 50454, 50989, 54088, 50906, 54088, 50456, 51503, 51269, 50458, 50989, 54088, 50877, 71428, 51279, 51269, 51176, 51269, 58439, 51269, 50989, 54088, 50965, 54088, 50900, 51080, 51001, 51352, 50417, 51234, 51269, 51176, 51269, 50418, 50989, 54088, 50965, 54088, 50420, 51503, 51269, 50422, 50989, 54088, 50965, 54088, 50423, 51234, 51269, 51176, 58844, 51503, 51269, 50989, 54088, 50965, 54088, 50429, 51234, 51269, 51176, 51269, 50430, 50989, 54088, 50965, 54088, 50432, 51503, 51269, 50434, 50989, 54088, 50965, 54088, 50435, 51234, 51269, 51176, 61929, 51503, 51269, 50989, 54088, 50965, 54088, 50997, 66977, 51234, 51269, 51176, 51269, 50442, 50989, 54088, 50965, 54088, 50444, 51503, 51269, 50446, 50989, 54088, 50965, 54088, 50447, 51234, 51269, 51176, 60205, 51503, 51269, 50989, 54088, 50965, 50952, 51040, 70256, 51234, 51269, 51176, 51269, 50454, 50989, 54088, 50965, 54088, 50456, 51503, 51269, 50458, 50989, 54088, 50965, 66376, 51234, 51269, 51176, 51269, 58439, 51269, 50989, 54088, 50900, 61306, 50981, 50417, 51234, 51269, 51176, 51269, 50418, 50989, 54088, 50965, 54088, 50420, 51503, 51269, 50422, 50989, 54088, 50965, 54088, 50423, 51234, 51269, 51176, 58844, 51503, 51269, 50989, 54088, 50965, 50925, 50956, 70342, 51234, 51269, 51176, 51269, 50430, 50989, 54088, 50965, 54088, 50432, 51503, 51269, 50434, 50989, 54088, 50965, 75339, 51234, 51269, 51176, 61929, 51503, 51269, 50916, 54088, 51040, 61306, 51013, 50441, 51234, 51269 ]

[ 0, 250, 765, 6, 15352, 30054, 3495, 2214, 19, 5175, 4785, 6, 4246, 3459, 9590, 6, 21072, 6, 17605, 9590, 6, 2382, 3459, 8669, 6, 8, 2724, 368, 31365, 25999, 6, 2351, 10, 1372, 8, 33558, 5466, 19, 10, 11602, 9, 1619, 4780, 6, 278, 11, 10, 204, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 13442, 741, 1685, 11, 5, 762, 9, 272, 10431, 3694, 6, 19, 10, 33215, 16739, 9, 2060, 406, 6, 163, 401, 6, 12608, 119, 6, 2060, 119, 6, 8, 163, 43531, 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 ]

[ 57333, 50791, 50880, 51544, 79161, 50897, 52320, 50897, 50799, 56520, 50910, 55213, 60623, 53932, 56520, 50910, 55213, 60623, 53049, 56520, 50897, 55213, 61174, 53627, 56520, 50865, 55213, 53840, 53574, 59521, 50910, 57920, 60623, 60464, 57224, 50810, 62179, 53701, 50579, 52878, 57178, 50836, 58232, 50375, 53183, 55354, 53631, 50836, 53973, 50375, 53823, 53035, 57865, 50937, 57003, 51058, 51553, 54166, 53968, 50938, 53621, 50987, 67779, 50818, 50799, 56520, 50952, 55213, 50828, 58232, 50820, 62179, 50829, 55213, 50925, 53916, 51469, 54322, 50955, 51728, 52054, 63465, 53227, 56520, 50938, 55213, 50834, 58232, 50820, 62179, 50835, 55213, 50987, 54322, 51058, 61862, 54634, 50910, 56413, 50820, 60382, 50825, 54770, 50867, 54770, 50955, 52947, 50933, 51525, 56340, 52538, 54262, 50572, 56402, 52927, 54634, 50917, 56413, 50854, 60382, 50933, 54770, 50978, 54770, 50987, 52947, 51006, 53804, 52742, 53968, 50805, 57920, 50867, 53621, 50844, 58599, 51008, 53621, 50845, 52491, 50830, 51815, 57685, 51421, 53806, 54308, 50862, 52623, 50827, 52089, 57444, 52843, 54308, 50905, 52041, 50838, 51986, 50905, 51525, 57517, 52538, 52516, 50855, 51453, 57023, 57178, 50884, 58232, 50841, 52159, 50834, 50799, 53968, 50840, 53621, 50813, 51815, 55234, 52304, 54745, 53968, 50855, 53621, 50867, 51815, 55772, 53968, 50937, 53621, 51058, 53339, 50910, 51815, 69207, 55946, 52541, 53901, 57865, 50938, 57003, 50987, 53339, 50833, 52473, 51006, 51525, 56340, 52538, 52516, 54056, 52541, 52810, 57178, 50924, 58232, 50937, 53780, 50854, 52159, 50987, 53752, 56788, 52541, 52729, 56520, 50795, 55213, 50845, 54727, 50880, 53064, 51295, 54322, 56777, 52207, 56650, 53580, 51033, 56960, 52802, 54308, 50839, 52623, 50867, 52089, 60995, 57517, 52538, 52516, 54139, 54308, 50866, 52041, 50978, 51986, 51008, 51453, 57326, 54634, 50855, 54770, 50867, 52947, 54897, 50828, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 52541, 51055, 54110, 55759, 52938, 54878, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 54110, 62316, 54156, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 53780, 50813, 54322, 50959, 51525, 56340, 52538, 52516, 54056, 52541, 61690, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 53894, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 53580, 50880, 53064, 50810, 52947, 56777, 52207, 59846, 52608, 50800, 52695, 51241, 50444, 53319, 55879, 54004, 53444, 50845, 52623, 50974, 52089, 50838, 51902, 50905, 51525, 57517, 52538, 52516, 54166, 52695, 50854, 52093, 50459, 57865, 50813, 57003, 50904, 53064, 50810, 52473, 57515, 50841, 50799, 57178, 50840, 58232, 50857, 52695, 50854, 52159, 55234, 51420, 58093, 57178, 50846, 58232, 50834, 54541, 51194, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 54156, 54541, 51194, 51525, 56340, 52538, 57036, 53644, 56520, 50865, 55213, 50866, 54322, 50978, 67370, 52950, 53968, 50980, 58599, 51178, 65385, 51124, 53621, 51162, 52041, 51411, 51986, 51255, 52541, 50952, 51815, 51400, 51728, 55958, 50388, 52281, 56442, 53780, 67367, 52491, 53401, 52656, 55510, 54634, 51060, 54770, 51101, 60382, 51178, 68476, 51194, 52623, 51328, 52089, 51328, 52541, 50859, 52947, 51242, 51525, 57517, 52538, 63239, 63055, 55726, 53780, 62174, 52608, 50383, 53183, 53902, 52891, 75615, 50841, 50799, 56520, 50952, 55213, 50828, 58232, 50820, 62179, 50829, 55213, 50925, 54322, 50955, 71329, 52432, 56520, 50938, 55213, 50834, 58232, 50820, 62179, 50835, 55213, 50987, 54322, 60593, 52437, 54634, 50910, 56413, 50820, 60382, 50825, 54770, 50867, 54770, 50955, 52947, 50933, 51525, 56340, 52538, 52516, 53810, 54634, 50917, 56413, 50854, 60382, 50933, 54770, 50978, 54770, 50987, 52947, 51006, 52358, 52950, 53968, 50805, 57920, 50867, 53621, 50844, 58599, 51008, 53621, 50845, 53780, 50849, 51815, 57685, 52304, 53806, 53064, 51562, 50852, 53140, 53580, 50961, 54308, 50841, 52623, 50904, 52089, 50374, 55913, 57517, 52538, 52516, 58045, 52491, 50865, 54308, 50878, 52041, 50955, 51986, 52863, 53804, 57023, 57178, 50884, 58232, 50841, 52159, 50834, 50799, 53968, 50840, 53621, 50813, 51815, 55234, 51864, 54745, 53968, 50855, 53621, 50867, 51815, 55772, 53968, 50937, 53621, 51058, 51815, 69207, 53383, 57865, 50938, 57003, 50987, 52473, 51006, 51525, 56340, 52538, 52516, 52359, 57178, 50924, 58232, 50937, 52159, 50987, 52553, 52781, 56520, 50795, 55213, 50845, 52541, 50858, 54322, 56777, 52207, 53806, 52541, 58474, 55118, 53780, 52800, 52041, 50878, 51986, 50925, 52170, 50955, 51525, 57517, 52538, 52516, 58045, 53780, 50855, 51453, 54814, 54634, 50855, 54770, 50867, 53780, 51110, 52947, 54897, 50818, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 54110, 55759, 51049, 55777, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 53064, 51043, 54110, 62316, 53901, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 52695, 51043, 54322, 50959, 51525, 56340, 52538, 52516, 52359, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 54431, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 52947, 56777, 51864, 55489, 53580, 59057, 55118, 52608, 53886, 53319, 50967, 53444, 50820, 52089, 50835, 51902, 60995, 57517, 52538, 52516, 54139, 52623, 50878, 52089, 51051, 51902, 61898, 53339, 55744, 57023, 57865, 50813, 57003, 50904, 52541, 50839, 52473, 57515, 50818, 50799, 57178, 50840, 58232, 50857, 53916, 51294, 52159, 55234, 52189, 58767, 57178, 50846, 58232, 50834, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 53548, 51525, 56340, 52538, 52516, 53644, 56520, 50865, 55213, 50866, 53339, 50833, 54322, 56835, 55310, 52541, 53618, 53116, 59521, 50800, 57920, 50810, 58599, 51178, 65385, 51124, 53339, 51204, 51595, 53835, 55190, 58935, 57224, 50812, 62179, 50822, 51495, 53086, 57178, 50809, 58232, 50813, 53979, 51033, 52159, 56317, 53631, 50840, 53973, 50813, 53319, 50952, 51401, 54105, 57865, 50910, 57003, 50955, 60382, 51178, 68476, 51194, 52656, 50821, 52473, 51008, 51525, 57517, 52538, 63756, 51979, 56354, 53968, 51345, 53621, 51400, 52891, 51227, 51815, 51480, 50816, 50895, 50799, 55096, 50897, 57003, 50834, 53204, 50813, 57920, 50867, 53204, 50955, 54110, 55759, 51049, 55777, 55096, 50977, 57003, 50829, 53204, 50867, 57920, 50886, 53204, 51006, 53064, 51043, 54110, 62316, 53901, 56520, 50830, 55213, 50813, 57003, 50813, 62179, 50867, 55213, 50878, 52695, 51043, 54322, 50959, 51525, 56340, 52538, 52516, 52359, 56520, 50865, 55213, 50813, 57003, 50857, 62179, 50857, 55213, 50866, 54322, 51058, 52358, 54431, 54634, 50795, 54770, 50955, 57003, 50955, 57920, 50959, 54770, 50845, 52947, 56777, 51864, 55489, 53580, 59057, 55118, 52608, 53886, 53319, 50967, 53444, 50820, 52089, 50835, 51902, 60995, 57517, 52538, 52516, 54139, 52623, 50878, 52089, 51051, 51902, 61898, 53339, 55744, 57023, 57865, 50813, 57003, 50904, 52541, 50839, 52473, 57515, 50818, 50799, 57178, 50840, 58232, 50857, 53916, 51294, 52159, 55234, 52189, 58767, 57178, 50846, 58232, 50834, 52159, 53023, 57178, 50952, 58232, 50942, 52159, 56879, 53548, 51525, 56340 ]

[ 0, 250, 15855, 8, 19834, 12, 13028, 15229, 6, 42, 2214, 7630, 6568, 10, 25306, 5466, 6, 29354, 26545, 8, 20183, 19, 9066, 8, 3722, 223, 34693, 4, 20, 6755, 12547, 6, 30062, 620, 7085, 12280, 642, 6, 18558, 6, 2342, 4467, 6, 8, 17691, 28430, 35810, 561, 10, 4066, 5797, 990, 1506, 9, 2369, 6, 25451, 23, 41, 178, 5285, 2877, 11, 204, 73, 306, 86, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 5, 46336, 5252, 16, 10122, 19, 5, 8089, 9, 3676, 406, 6, 83, 6, 272, 401, 6, 211, 6, 8, 272, 119, 401, 40286, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57211, 50799, 51946, 51939, 70164, 50932, 50415, 60691, 54249, 53541, 51243, 51881, 70762, 60131, 51423, 50426, 54650, 52096, 55228, 51753, 50432, 53472, 57937, 54019, 50915, 52650, 51328, 50444, 52697, 50974, 50449, 54577, 69204, 52650, 77228, 51996, 50915, 53472, 50838, 50799, 52494, 51189, 70164, 51253, 52133, 51380, 52402, 51312, 50420, 52695, 51233, 63950, 51480, 50426, 52196, 51310, 55228, 54342, 52795, 50873, 54969, 75120, 52890, 51328, 50439, 52795, 64486, 54969, 51233, 50445, 52032, 67426, 53715, 62970, 52196, 51047, 50456, 55228, 50874, 50799, 54577, 51445, 70164, 50995, 60691, 54143, 53541, 51445, 51881, 55085, 60131, 51312, 51881, 53466, 51596, 50915, 55228, 51423, 51615, 51111, 50427, 51946, 51677, 50432, 53472, 51391, 52332, 51060, 50437, 51789, 55965, 52650, 51212, 52033, 51918, 52697, 51242, 52332, 65223, 52083, 51013, 52650, 51363, 52033, 53702, 53472, 50844, 51881, 50849, 50799, 54019, 52256, 51686, 51189, 52285, 51803, 52196, 51134, 70164, 51363, 53389, 50995, 53100, 51241, 50420, 61534, 54278, 55039, 60092, 53339, 51677, 50432, 51565, 51111, 53748, 51242, 50433, 50626, 50438, 52890, 77046, 52433, 51161, 50444, 53101, 51277, 53260, 67446, 50626, 50450, 51950, 51101, 52890, 51058, 50455, 50626, 50456, 54063, 51043, 53748, 50837, 50799, 59861, 50829, 55228, 50834, 53828, 51101, 52133, 52121, 55793, 51244, 53817, 51318, 50415, 51950, 51742, 52196, 53487, 55228, 59991, 53260, 51142, 53748, 62016, 50626, 53436, 73616, 55802, 54611, 55248, 67175, 54307, 51717, 50432, 52626, 55306, 52886, 67367, 50625, 53828, 51692, 50449, 51711, 75926, 52430, 51242, 50455, 50625, 50456, 53499, 51101, 51838, 51242, 50799, 52626, 51397, 50415, 52225, 72442, 52033, 63559, 52332, 62109, 51615, 51446, 50433, 52886, 51178, 50438, 52340, 51148, 50440, 52626, 51047, 50446, 59861, 50905, 50448, 54969, 64913, 53715, 50874, 52650, 52800, 52890, 50857, 51656, 76679, 70164, 51878, 53472, 51058, 50460, 52650, 50959, 55228, 52263, 57211, 54029, 50981, 51615, 50834, 51838, 52121, 53499, 52015, 51615, 52250, 60691, 50981, 50415, 53541, 60726, 53472, 65785, 52650, 78265, 54029, 69397, 52697, 55322, 54029, 54004, 52650, 54199, 53472, 50864, 50799, 70164, 51109, 55228, 60726, 53472, 67732, 52650, 54342, 54029, 54123, 52697, 56391, 54029, 52985, 52650, 59781, 53472, 50864, 50799, 57853, 50830, 53565, 51655, 52123, 51151, 70164, 51542, 55228, 50915, 51615, 55482, 53817, 55116, 64885, 50825, 60691, 55482, 53541, 58643, 50420, 53472, 53770, 52650, 68181, 54029, 68535, 52697, 60182, 54029, 51412, 50450, 52650, 77146, 53472, 50864, 50799, 52689, 51016, 52041, 50932, 70164, 50932, 55228, 57933, 53472, 54335, 53565, 51013, 52123, 50915, 52650, 54342, 54029, 68535, 53391, 51226, 53444, 50915, 52697, 51363, 50444, 54029, 51534, 50450, 53565, 51016, 52123, 51134, 52650, 56711, 53472, 50886, 50799, 57375, 50833, 52689, 51469, 52041, 51313, 70563, 51253, 55039, 51480, 59439, 51151, 51615, 51293, 52133, 78160, 53748, 58192, 52650, 53387, 52566, 53913, 52697, 55200, 52566, 53562, 52650, 61703, 53748, 61243, 53444, 51097, 51656, 51680, 55430, 52015, 53100, 51330, 50799, 59213, 50952, 55102, 51013, 51783, 50981, 50697, 50282, 51203, 60131, 65516, 53472, 67732, 52888, 51977, 52123, 51535, 52089, 51318, 55052, 51212, 51881, 52256, 50432, 52890, 75120, 52697, 55103, 52890, 51242, 50449, 51584, 51452, 50450, 51886, 50933, 52083, 51123, 52123, 51025, 52089, 50995, 55052, 51058, 60165, 61081, 51565, 50851, 52433, 55371, 67092, 59753, 52083, 66968, 51886, 50822, 60165, 54319, 51606, 50844, 53472, 65267, 52604, 64074, 52083, 50942, 58301, 57023, 51886, 70039, 60165, 59700, 51565, 51295, 50799, 64884, 50800, 52433, 51749, 52679, 51419, 52041, 51419, 51555, 51134, 50697, 50280, 50995, 59861, 51411, 55793, 52096, 50415, 67092, 65739, 53748, 53770, 53274, 51013, 52650, 53387, 52566, 50901, 50437, 52089, 51328, 50438, 56806, 51016, 52123, 51101, 51584, 51043, 51902, 51043, 52697, 59791, 52566, 51194, 50449, 51555, 50905, 52041, 50974, 51584, 50974, 51567, 55125, 53873, 51541, 52650, 66913, 53748, 50827, 50799, 54992, 50896, 51584, 50905, 51902, 51328, 52089, 51328, 51612, 50873, 50697, 50280, 50981, 59861, 51312, 50420, 53748, 58632, 53873, 50896, 51555, 50892, 52041, 51212, 51584, 50892, 51567, 50901, 52650, 68181, 52566, 53913, 56806, 51215, 52089, 51775, 51902, 51203, 52123, 51363, 51584, 51411, 52697, 51480, 50444, 52566, 75926, 52650, 51277, 50455, 52041, 50844, 52679, 50810, 51555, 50810, 51584, 52863, 53274, 51173, 53748, 50874, 50799, 57853, 50809, 52888, 51696, 70164, 51679, 55228, 50981, 60691, 55174, 53817, 52826, 50415, 52123, 53753, 51584, 51293, 52089, 53142, 51902, 53651, 50420, 53472, 67732, 53598, 51254, 51886, 50955, 55052, 51212, 79916, 60155, 52433, 50959, 52367, 51051, 73159, 52810, 54029, 51101, 50433, 53598, 61172, 53297, 50851, 73038, 57320, 51886, 53269, 53598, 51000, 52697, 51109, 79916, 54305, 54029, 51363, 50449, 52156, 51008, 51886, 65743, 55052, 50974, 60165, 61081, 51673, 50987, 50453, 52433, 72921, 67092, 53211, 51886, 50978, 53472, 68826, 53598, 51142, 79916, 57867, 51886, 50941, 52156, 50864, 60165, 50862, 50799, 52041, 52056, 51555, 51199, 70164, 51534, 55228, 64965, 51565, 50867, 52156, 50971, 53748, 50978, 62086, 52870, 51596, 50867, 51565, 50941, 52650, 50987, 55839, 52925, 51596, 50904, 52697, 50844, 56333, 65312, 52202, 59380, 52133, 51148, 52402, 50932, 55793, 51148, 51615, 51939, 50438, 64884, 50859, 51752, 51166, 52155, 51481, 53132, 51016, 59861, 50932, 53715, 51480, 56220, 62801, 51596, 60466, 52202, 50912, 54969, 51212, 56333, 54086, 52161, 51166, 52945, 50896, 52650, 50978, 52402, 51097, 50451, 51752, 50974, 57644, 54199, 51606, 50904, 52566, 64853, 51596, 50941, 57016, 59854, 60691, 51801, 50799, 53565, 51285, 70164, 51637, 55228, 51391, 53817, 52337, 53541, 52337, 50415, 57853, 50821, 51596, 52519, 56333, 70624, 52202, 51961, 50420, 53472, 54335, 52650, 50845, 51881, 57648, 54029, 51212, 50437, 51615, 56692, 53565, 51362, 55052, 51328, 50444, 53472, 51242, 50449, 52332, 55247, 55052, 54771, 53565, 50911, 54029, 50857, 50799, 57853, 50859, 53565, 51054, 70164, 51148, 55228, 51115, 51743, 51121, 51881, 51074, 50419, 53100, 51481, 50420, 52650, 51328, 52033, 63559, 53274, 51016, 54029, 51212, 51881, 51753, 51743, 62118, 53039, 50867, 52033, 51753, 51615, 64967, 53000, 51212, 52255, 51362, 51743, 51679, 50444, 52697, 72326, 52888, 51090, 54757, 51328, 50455, 51615, 57414, 53118, 50867, 51743, 51481, 50799, 64884, 50800, 53132, 51527, 50697, 50280, 50995, 59861, 50981, 55793, 53413, 52033, 51753, 52133, 75272, 53748, 51212, 52187, 50795, 51615, 54335, 54012, 51419, 52650, 51121, 52033, 52783, 50427, 51615, 51538, 50432, 52566, 74387, 53132, 51745, 57570, 50981, 52697, 67367, 52566, 55125, 53883, 51295, 52650, 54509, 53132, 51030, 53748, 61561, 52402, 50978, 50799, 53132, 51237, 59861, 51391, 53715, 50981, 52133, 52168, 50419, 61249, 51043, 52402, 58879, 54969, 51212, 51615, 53466, 52888, 50824, 56065, 51452, 52650, 50845, 51615, 51008, 52187, 50910, 50429, 52187, 68858, 51838, 57748, 52566, 73626, 51656, 51051, 51711, 50897, 50437, 53817, 51148, 55793, 60934, 54610, 50952, 52697, 51043, 52402, 51314, 51656, 51486, 50444, 52566, 68366, 52689 ]

[ 0, 713, 8787, 5175, 8, 3495, 15229, 6, 278, 11, 381, 538, 6, 30853, 23, 10, 7212, 20889, 19, 10, 204, 73, 306, 86, 6543, 4, 660, 21979, 8669, 6, 17691, 28430, 6, 8, 6755, 12547, 35810, 561, 15352, 30054, 2301, 6, 150, 2236, 1021, 2678, 29, 1606, 41, 364, 38537, 2842, 6, 8, 21072, 694, 10, 5204, 1451, 4, 20, 2125, 7630, 6568, 10, 25306, 5466, 6, 29354, 26545, 8, 1007, 6, 19, 17878, 9, 657, 4, 20, 33215, 16739, 9, 1918, 6, 381, 6, 8, 163, 3639, 7, 63, 13363, 28191, 2574, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 52225, 51148, 52430, 51243, 50438, 51838, 57105, 52414, 50981, 50799, 51656, 51692, 51838, 51445, 52036, 51445, 50450, 51615, 50943, 50799, 51743, 51518, 51656, 52121, 52225, 51293, 50450, 52033, 51013, 50799, 51743, 51655, 52187, 51151, 59007, 50938, 51688, 50795, 53100, 51293, 74622, 51656, 70762, 50850, 50921, 50946, 57327, 50992, 53104, 50616, 53566, 50946, 56291, 76183, 51688, 65562, 50946, 63815, 60866, 50868, 52757, 50616, 54098, 50946, 62033, 51566, 58282, 50805, 51881, 51293, 51743, 51293, 79656, 67653, 61128, 63963, 66732, 52005, 53566, 50946, 50942, 50872, 63418, 51171, 53969, 50946, 63815, 55125, 51171, 57046, 50911, 52005, 54098, 59385, 65713, 59007, 51033, 51688, 51100, 53100, 51293, 74622, 51656, 70762, 50850, 50882, 50946, 59204, 50992, 52965, 50616, 53566, 50946, 50865, 50868, 56810, 51688, 65562, 59385, 50946, 68366, 50868, 50940, 52005, 54098, 58126, 50946, 74369, 51396, 52069, 64933, 52500, 51217, 51036, 53541, 51293, 51881, 51293, 51743, 51293, 78738, 51605, 50416, 50872, 52500, 50438, 52549, 57197, 51900, 51003, 62193, 51343, 53101, 51295, 50420, 51017, 65292, 54851, 52005, 53566, 51688, 50918, 52285, 60592, 66581, 50992, 50948, 52285, 70268, 50850, 70845, 52596, 52005, 54098, 51688, 50918, 59007, 50952, 51017, 50917, 60474, 56548, 53466, 52005, 53566, 50848, 51159, 50868, 51157, 76686, 51217, 51452, 54108, 55306, 51900, 51267, 57403, 51798, 50850, 56291, 51212, 50872, 51060, 51900, 51267, 52005, 54098, 50848, 50893, 62193, 51364, 51900, 51295, 50420, 51017, 65292, 54851, 52005, 53566, 51688, 51336, 52285, 74387, 66581, 50992, 50948, 52549, 70268, 50850, 70845, 52596, 52005, 54098, 51688, 50866, 51688, 50917, 62193, 51274, 60474, 56548, 53466, 52005, 53566, 50848, 51159, 50868, 51157, 76686, 51688, 61086, 52549, 60510, 50946, 51798, 50850, 56291, 51212, 50872, 51060, 51900, 51400, 52005, 54098, 50848, 50893, 62193, 51541, 53101, 51295, 60474, 59590, 56346, 52005, 53566, 51217, 52195, 52285, 55306, 66853, 50992, 51030, 52285, 51562, 66368, 65396, 63233, 52005, 54098, 51171, 51407, 50461, 50946, 51103, 57342, 51103, 50415, 50944, 51551, 50416, 50850, 52195, 50426, 52005, 53566, 54108, 50977, 50437, 52540, 51870, 50438, 51017, 51551, 50868, 51103, 51900, 51003, 50439, 50992, 69562, 52549, 51400, 52005, 50824, 70128, 51541, 52824, 51295, 50420, 50944, 51286, 50850, 70266, 52005, 53566, 51506, 50808, 52549, 74387, 51017, 70732, 51541, 52355, 70268, 50944, 51286, 50850, 63589, 52005, 54098, 51506, 50830, 61281, 51552, 50420, 50850, 50859, 57835, 50423, 50992, 57630, 50850, 53376, 50616, 53566, 73483, 50847, 51624, 50289, 60655, 50868, 79771, 51017, 51377, 50850, 51346, 52005, 54098, 51688, 50987, 52355, 50901, 58282, 51486, 52355, 51003, 51881, 51036, 52332, 56100, 50946, 51661, 57189, 51413, 51900, 51003, 52005, 53566, 50868, 51196, 50944, 51196, 50850, 64050, 53101, 67367, 50946, 50911, 52515, 76630, 51171, 51159, 52005, 54098, 50946, 50821, 50799, 52540, 51294, 52515, 51194, 53100, 51492, 52033, 56100, 51017, 51204, 50868, 51191, 50423, 52933, 51255, 50426, 52005, 53566, 52540, 51417, 54063, 74387, 67832, 50868, 50859, 52515, 51194, 50444, 51017, 51090, 50850, 62902, 52285, 76630, 52005, 54098, 52540, 50987, 50799, 52540, 51189, 51743, 56100, 50872, 51091, 50850, 51541, 51007, 75749, 51900, 51177, 52005, 53566, 50946, 51358, 52549, 58927, 50872, 56709, 74503, 50940, 52549, 67367, 50850, 51215, 50935, 51379, 50872, 51400, 52824, 57197, 52005, 54098, 50944, 51215, 50850, 51016, 52355, 51183, 70128, 50807, 52332, 54994, 51017, 50914, 50944, 52910, 52005, 53566, 51506, 51790, 50437, 50946, 52212, 50438, 51017, 51127, 52549, 51003, 52033, 61298, 50944, 51356, 50440, 50850, 66336, 51900, 51400, 51881, 50807, 52005, 50824, 63649, 51554, 50296, 51241, 53101, 51003, 53389, 51036, 53100, 56100, 50868, 55035, 66588, 52285, 50977, 52005, 53566, 51017, 51496, 51217, 51591, 50850, 51742, 52285, 51351, 66368, 68366, 51017, 51328, 52005, 54098, 50946, 50959, 54246, 51177, 57342, 51060, 51217, 51353, 51900, 51003, 53541, 51036, 51881, 56100, 50868, 53466, 63224, 52285, 51003, 52005, 53566, 51149, 77787, 52824, 57197, 52549, 51177, 52005, 54098, 52355, 51353, 59007, 50937, 51688, 50849, 53389, 51036, 53100, 56100, 50850, 50830, 50946, 54919, 50992, 52757, 50616, 53566, 50946, 56467, 51095, 54570, 51500, 52456, 51500, 50438, 51688, 72438, 50946, 77194, 51100, 54570, 51496, 52456, 51496, 51855, 55362, 50450, 50868, 53597, 50616, 54098, 50946, 57588, 51073, 58282, 50901, 53541, 51605, 51881, 51605, 52517, 52017, 52088, 52017, 67653, 63815, 71783, 66853, 52005, 53566, 68069, 50872, 51013, 54246, 55306, 51171, 50901, 51900, 55945, 50946, 77194, 50892, 52285, 67168, 52549, 51562, 50450, 51171, 59718, 50879, 52005, 54098, 50946, 50833, 62081, 59007, 50952, 51688, 51177, 53389, 51036, 53100, 56100, 50850, 75708, 51110, 52355, 71783, 50992, 53104, 50616, 58542, 52355, 51790, 50432, 50946, 63879, 50879, 54570, 51427, 52456, 51500, 50438, 51688, 72438, 50946, 68710, 51212, 54570, 51496, 52456, 51496, 51855, 52282, 50450, 66732, 52005, 54098, 59416, 50946, 50942, 61281, 63243, 50830, 62062, 68651, 52517, 51090, 52088, 51090, 50425, 51042, 57944, 51217, 51486, 50848, 51161, 50427, 50872, 51161, 50935, 51941, 50450, 52549, 67773, 51900, 50901, 62193, 51343, 53101, 51295, 50420, 66067, 50850, 51631, 52005, 59984, 51688, 51077, 52285, 54014, 57835, 50992, 50938, 52285, 51448, 50444, 72074, 50868, 55125, 52005, 61510, 51688, 51047, 59007, 50878, 76608, 60474, 56219, 54335, 52005, 55112, 75548, 50868, 51253, 50872, 51199, 51217, 52168, 52285, 52718, 51900, 51576, 57403, 56697, 50850, 67923, 51884, 50872, 51277, 51900, 52188, 52005, 59827, 50848, 50974, 62193, 51283, 51900, 52136, 50420, 74315, 50850, 55191, 52005, 57648, 51688, 51447, 52285, 52518, 50438, 78665, 50992, 51254, 52549, 52212, 50444, 79718, 50868, 59914, 52005, 63190, 51688, 52731, 51688, 52192, 62193, 53280, 60474, 57574, 50313, 68544, 52005, 52011, 50432, 50848, 55574, 50868, 55574, 50872, 55765, 51688, 53055, 50438, 52515, 57032, 50444, 50946, 53024, 50450, 50850, 50363, 50815, 50308, 60150, 50872, 58961, 52005, 52618, 50456, 50848, 53313, 54063, 54386, 62193, 60243, 52515, 68303, 60474, 57070, 50850, 54386, 50426, 54570, 55811, 51855, 54386, 52005, 56869, 50432, 51217, 75222, 52549, 72464, 52456, 68303, 52753, 71133, 50438, 50868, 58576, 50992, 59641, 52285, 72782, 66368, 63069, 50850, 59641, 50450, 52456, 63069, 52005, 65254, 50456, 51171, 55044, 54744, 53265, 54570, 53265, 52456, 53265, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 51601, 50626, 50426, 50625, 50438, 50624, 50446, 50622, 50449, 50621, 50451, 50621, 50452, 50621, 50454, 50621, 50456, 50621, 50457, 50619, 50461, 50622, 51601, 50622, 50420, 50622, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 50796, 61627, 50623, 50450, 50623, 57528, 77718, 50438, 50623, 50443, 50623, 50448 ]

[ 0, 713, 5175, 2214, 11, 83, 538, 22750, 1626, 10, 15352, 30054, 8, 1372, 16464, 6, 1969, 13, 2365, 50, 33558, 9629, 4, 590, 10, 23758, 3938, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 11739, 9, 21979, 8669, 6, 38668, 22052, 6, 20535, 2810, 6, 3459, 9590, 6, 8, 21072, 4, 20, 2125, 16, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 163, 119, 6, 381, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 76501, 51322, 51671, 51547, 50932, 51229, 52188, 52563, 51151, 51614, 51449, 51434, 51445, 51808, 51445, 50415, 51209, 52335, 50416, 51590, 53142, 50461, 51547, 51490, 55194, 51145, 52435, 51447, 51944, 51243, 51440, 51080, 51229, 51314, 50437, 51322, 51080, 51547, 51080, 51912, 67608, 51415, 51148, 52745, 51314, 51614, 51244, 53400, 51047, 51660, 52263, 51434, 51878, 51808, 51080, 51209, 51314, 51590, 51447, 51366, 51490, 50437, 51229, 52256, 57876, 51047, 52435, 51080, 51660, 51447, 51440, 53849, 51917, 51961, 51366, 51381, 50461, 51322, 51922, 51229, 51449, 52288, 53259, 51614, 51243, 51944, 51449, 51547, 51243, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 50843, 53225, 61391, 51194, 51532, 52144, 53998, 50843, 54620, 56579, 56147, 53945, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 53846, 54870, 56317, 51913, 50855, 56147, 60380, 53068, 51683, 53846, 53739, 61960, 51177, 50453, 51888, 51406, 58043, 54870, 53007, 50843, 54620, 57187, 51648, 51351, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 70943, 51913, 51542, 50843, 53225, 61391, 51194, 50429, 50945, 50866, 56543, 53998, 50843, 54620, 56579, 50927, 51008, 56147, 53945, 50953, 51194, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 54996, 54870, 56317, 51913, 50904, 56147, 60380, 53068, 51963, 53846, 53739, 61960, 51177, 50453, 51683, 51464, 58043, 54870, 53007, 50843, 54620, 57187, 51913, 51183, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 50845, 51402, 52497, 50864, 51039, 55716, 55785, 55470, 51287, 51168, 51949, 68441, 52992, 51069, 65316, 53225, 61391, 51194, 50429, 50964, 50987, 56543, 53998, 50843, 54620, 56579, 51069, 51008, 56147, 50864, 53758, 51194, 50843, 53739, 61391, 50845, 51572, 54870, 54394, 51913, 53846, 54870, 56317, 51913, 50855, 56147, 60380, 53068, 51683, 53434, 53739, 61960, 51177, 50453, 51888, 51406, 58043, 54870, 53007, 50843, 54620, 57187, 51648, 50855, 56147, 50864, 50799, 51248, 51168, 54870, 61568, 63118, 51648, 55316, 52497, 54202, 52002, 51916, 55716, 55785, 55470, 52002, 51187, 55681, 51949, 68441, 52992, 50945, 55638, 53225, 61391, 51194, 50429, 51019, 50937, 56543, 53998, 50843, 54620, 56579, 50927, 50822, 56147, 53945, 51069, 51121, 50843, 53739, 61391, 50845, 51572, 54870, 50864, 54032, 50374, 54936, 55240, 56317, 51713, 50844, 51287, 54936, 51949, 60380, 53068, 51888, 55309, 50376, 53823, 55240, 61960, 51177, 50453, 51648, 51833, 58043, 50374, 53823, 53742, 53007, 51913, 53816, 72128, 55240, 57187, 51913, 51916, 50373, 53183, 51909, 50864, 52288, 54954, 50891, 51007, 50820, 51840, 50862, 51648, 53871, 51189, 51782, 53692, 50943, 50913, 50813, 51402, 50864, 51039, 53744, 75412, 51007, 50839, 51840, 55164, 51437, 55828, 53383, 51069, 61221, 63490, 50840, 51532, 53998, 50927, 55792, 79371, 50836, 51840, 50857, 51718, 51102, 73746, 53891, 51205, 69959, 60596, 50840, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 51539, 55748, 57012, 51205, 54546, 51559, 54105, 50927, 60665, 51095, 52112, 50453, 50935, 70175, 50841, 51840, 51750, 54738, 50813, 51453, 54359, 50927, 51373, 50813, 53400, 51424, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 51019, 50810, 51439, 50841, 52548, 53831, 51437, 55828, 53383, 50953, 61221, 63490, 50840, 51532, 53998, 51415, 51305, 50323, 50836, 52548, 51559, 55748, 73746, 53891, 51011, 54035, 60596, 50840, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 51464, 55748, 57012, 51011, 55164, 51559, 54105, 51011, 57564, 51095, 52112, 50453, 51125, 50837, 51149, 50820, 51649, 51464, 54738, 53211, 77666, 51762, 51621, 50813, 52288, 56219, 50891, 51007, 50820, 51840, 53630, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 50927, 70175, 50839, 51840, 55164, 51437, 55828, 53383, 50927, 55998, 63490, 50840, 51532, 53998, 51069, 51277, 50850, 79371, 50836, 51840, 50857, 51718, 51102, 73746, 53891, 51205, 54788, 60596, 50840, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 51539, 55748, 57012, 51205, 55071, 51559, 54105, 50927, 77493, 51095, 52112, 50453, 50935, 70175, 50841, 51840, 51750, 54738, 50813, 51453, 54359, 51213, 50827, 52385, 53400, 51393, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 51019, 50822, 51439, 50841, 52548, 53831, 51437, 55828, 53383, 50953, 54035, 63490, 50840, 51532, 53998, 51415, 50822, 51439, 50836, 52548, 51559, 55748, 73746, 53891, 51011, 61221, 60596, 50840, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 51464, 55748, 57012, 51011, 55071, 51559, 54105, 51019, 51242, 50798, 51095, 52112, 50453, 51125, 50837, 51149, 50820, 51649, 51464, 54738, 50813, 51453, 54359, 51019, 51589, 50813, 52288, 51121, 51007, 50839, 51840, 54534, 51189, 69327, 50813, 51402, 50864, 51039, 53744, 75412, 51007, 50820, 51840, 53754, 51437, 55828, 53383, 51069, 54788, 63490, 50840, 51532, 53998, 51205, 54954, 50825, 51007, 50820, 51840, 51437, 55748, 73746, 50857, 53758, 55998, 60596, 50840, 51572, 50374, 54936, 61374, 51553, 53114, 51069, 58176, 50825, 51007, 50820, 51840, 51406, 55748, 62885, 51553, 50862, 51618, 63041, 51553, 53688, 50927, 55732, 51095, 51782, 52388, 54363, 50850, 50825, 51007, 50841, 51840, 50855, 57563, 77794, 53217, 51069, 50959, 51224, 51239, 56399, 51224, 50840, 51621, 50813, 53400, 51681, 50320, 50825, 51439, 50834, 52548, 55136, 51189, 50843, 50383, 53692, 51134, 50913, 50813, 52091, 51449, 51678, 52407, 52252, 51878, 51402, 50874, 52906, 57851, 51019, 50822, 51439, 50841, 52548, 53831, 51437, 54702, 53383, 51213, 54035, 72594, 50813, 51532, 54221, 50953, 51305, 50323, 50836, 52548, 55476, 56428, 73746, 67560, 51701, 51314, 52736, 52263, 57876, 55998, 69319, 50836, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 55033, 56428, 57012, 51011, 55071, 51559, 54385, 51019, 71058, 69167, 56269, 51125, 50837, 51149, 50820, 51649, 51464, 55355, 53211, 50852, 57661, 51019, 51589, 61145, 52016, 51748, 51701, 51314, 52582, 51243, 52288, 54954, 50891, 51007, 50820, 51840, 53630, 51189, 50843, 56428, 50813, 51402, 50874, 52906, 57851, 50927, 50822, 51007, 50839, 51840, 55164, 51437, 54702, 53383, 51213, 55998, 72594, 50813, 51532, 54221, 51011, 56219, 79371, 50836, 51840, 56768, 56428, 73746, 67560, 54549, 65680, 51415, 71058, 69319, 50836, 51572, 54758, 50935, 50825, 51007, 50841, 51840, 54539, 56428, 57012, 51415, 54327, 51559, 54385, 51213, 54788, 69167, 56269, 50935, 70175, 50841, 51840, 51750, 55355, 53211, 50852, 57661, 51213, 73049, 53400, 50866, 51149, 50825, 51439, 50834, 52548, 55136, 51189, 50843, 56428, 50813, 51678, 52263, 52091, 51671, 52252, 51878, 51402, 50874, 52906, 57851, 51019, 50827, 51439, 50841, 52548, 53831, 51437, 54702, 53383, 51415, 62285, 72594, 50813, 51532, 54221, 51186, 51501, 50323, 50836, 52548, 55476, 56428, 73746, 67560, 51701, 53849, 57876, 61525, 69319, 50836, 52736, 51080, 51572, 54758, 51125, 50837, 51149, 50841, 51649, 55033, 56428, 57012, 51011, 55897, 51559, 54385, 50953, 74812, 69167, 56269, 51125, 50837, 51149, 50820, 51649, 51464, 55355, 53211, 50852, 57661, 67035, 52068, 50461, 52582 ]

[ 0, 250, 20902, 3152, 2214, 4246, 10, 228, 438, 4781, 2088, 6757, 6, 36075, 8669, 6, 21072, 6, 8, 3459, 9590, 6, 2351, 41, 20425, 8, 33558, 5466, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 9, 23272, 13410, 228, 2289, 6, 5, 1349, 11498, 10, 5204, 204, 73, 306, 86, 6543, 1328, 63, 13428, 4, 20, 33301, 16, 3185, 30, 10, 33215, 16739, 9, 230, 119, 1176, 406, 6, 272, 406, 6, 211, 6, 8, 1918, 406, 6, 8216, 7, 5, 2214, 18, 14899, 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 ]

[ 58402, 61627, 62251, 52096, 57697, 51293, 55494, 50665, 50302, 54270, 72842, 68086, 56568, 51129, 50446, 50832, 54044, 63850, 56584, 51693, 50458, 71087, 50799, 55494, 56130, 51693, 50421, 58118, 50982, 66049, 51258, 50425, 58118, 53356, 50832, 56609, 58118, 50837, 56096, 58025, 58118, 72215, 59336, 50436, 58118, 52621, 55494, 50440, 58118, 50984, 56568, 51129, 67823, 51991, 50443, 58118, 59279, 50832, 51693, 50447, 58118, 52772, 68097, 58118, 59835, 58118, 50827, 56584, 59923, 58118, 57450, 59336, 50459, 58118, 50835, 50799, 55494, 50415, 58118, 50820, 56130, 51004, 58118, 59490, 58118, 60161, 50832, 51693, 50424, 58118, 52712, 61672, 50427, 58118, 50825, 56096, 51693, 50431, 58118, 62886, 50665, 50306, 51036, 50434, 68097, 58118, 57320, 58118, 54123, 56643, 52096, 53460, 52096, 55494, 50440, 58118, 50833, 56568, 65112, 58118, 56892, 50832, 51258, 58118, 65261, 58118, 52772, 50832, 50908, 50452, 58118, 50820, 56584, 63820, 58118, 57029, 50832, 56047, 58118, 50839, 61332, 51693, 58118, 56166, 58118, 50844, 56130, 54605, 58118, 56856, 71087, 50424, 58118, 53906, 55494, 50427, 58118, 50851, 56096, 52445, 58118, 60093, 58118, 59347, 50832, 58721, 67823, 51605, 50436, 58118, 52600, 55494, 50439, 58118, 50827, 56568, 51129, 58118, 71696, 58118, 57785, 50832, 51004, 50448, 58118, 52772, 63850, 50452, 58118, 50863, 56584, 51693, 50455, 58118, 56399, 71087, 58118, 57995, 58118, 50827, 50799, 55494, 50416, 58118, 50870, 56130, 51693, 50419, 58118, 58659, 50832, 51258, 58118, 59045, 58118, 52670, 50832, 65368, 50665, 50306, 51894, 50429, 58118, 50907, 56096, 58025, 58118, 59347, 50832, 58721, 58118, 52904, 55494, 58118, 56755, 58118, 50870, 56568, 57536, 58118, 57785, 50832, 51693, 50447, 58118, 52846, 68097, 58118, 51128, 50452, 58118, 50891, 56584, 51306, 50455, 58118, 58958, 59336, 58118, 50907, 50799, 55494, 58118, 50907, 50416, 58118, 50870, 56130, 54303, 58118, 58115, 50832, 51693, 58118, 54951, 67823, 52069, 50426, 61672, 58118, 57845, 58118, 50984, 56096, 63256, 58118, 58039, 50832, 54483, 58118, 56006, 55494, 58118, 68977, 58118, 50863, 56568, 54189, 58118, 60402, 50832, 68466, 58118, 53567, 50832, 50908, 58118, 58207, 58118, 50863, 56584, 51693, 50457, 58118, 65241, 61672, 50460, 58118, 50912, 61332, 51693, 50665, 50306, 78996, 58118, 50912, 56130, 50982, 58118, 59109, 58118, 61183, 50832, 64024, 50770, 50295, 51307, 50424, 58118, 52641, 55494, 50427, 58118, 50844, 56096, 52445, 58118, 63163, 59336, 58118, 58316, 58118, 58946, 50832, 51693, 50440, 58118, 50829, 56568, 51258, 50443, 58118, 62182, 50832, 51693, 58118, 58510, 58118, 55514, 55494, 50452, 58118, 50863, 56584, 52445, 50455, 58118, 50984, 50458, 50832, 52611, 58118, 61969, 58118, 50982, 59626, 51443, 50893, 54379, 57771, 50668, 50341, 50864, 61961, 55392, 72571, 55392, 50798, 53837, 52761, 70431, 51063, 50917, 51075, 50977, 51978, 51012, 63201, 66308, 52172, 52677, 51392, 52270, 52667, 51019, 50878, 52380, 55580, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 53319, 51012, 52358, 52616, 73703, 51979, 50936, 52008, 60560, 52139, 52881, 70943, 51979, 52090, 51916, 50908, 52563, 50948, 52172, 51012, 52902, 53403, 63345, 51063, 50917, 51075, 50987, 51978, 51575, 52872, 52380, 50923, 55605, 52270, 52667, 70587, 53319, 56562, 51750, 52904, 70490, 51075, 50977, 51063, 50849, 54379, 51142, 61961, 51051, 72571, 50933, 52358, 52986, 66482, 51842, 57762, 50830, 54379, 51210, 59785, 51174, 50668, 50344, 51006, 51776, 50937, 56582, 51138, 51068, 53754, 60486, 51949, 50839, 51020, 51058, 51185, 51058, 51810, 60077, 58918, 54379, 55392, 50668, 50341, 50904, 61961, 53849, 72571, 52826, 51776, 50938, 56582, 50860, 63400, 55453, 50834, 51810, 50897, 51185, 50942, 51020, 50933, 56142, 50948, 52358, 52761, 70431, 51075, 50878, 51063, 50917, 51978, 51012, 60656, 66308, 52172, 51012, 53316, 51909, 52667, 51019, 50878, 52380, 52090, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 53319, 51012, 52358, 52616, 73703, 51979, 50924, 51983, 51899, 68325, 52881, 50927, 59083, 51916, 50870, 52563, 50948, 52902, 53223, 63345, 51063, 50937, 51075, 50866, 52228, 50923, 57878, 52491, 53757, 51392, 52275, 52667, 70587, 51978, 52466, 51750, 52958, 70490, 51063, 50873, 63639, 54379, 51470, 61961, 50907, 72571, 51174, 52358, 53044, 66482, 54727, 50911, 51956, 57762, 50830, 54379, 51524, 59785, 51210, 50668, 50344, 50912, 52394, 50936, 55605, 51909, 53268, 58918, 54379, 57598, 50668, 50341, 51128, 61961, 56004, 72571, 57598, 50668, 50347, 69103, 52228, 55469, 50839, 56142, 50948, 52358, 53576, 70431, 51063, 50937, 51075, 50866, 51978, 51012, 63201, 66308, 52172, 52677, 51392, 52270, 52667, 51019, 50878, 52380, 55580, 52223, 53018, 66308, 51063, 50849, 63639, 53319, 51012, 52358, 52616, 73703, 51979, 50936, 52008, 60560, 52139, 52881, 70943, 51979, 52090, 51916, 50908, 52563, 50948, 52172, 51012, 52902, 53403, 63345, 51063, 50917, 51075, 50866, 51978, 51575, 52872, 52380, 50923, 55605, 52270, 52667, 70587, 53319, 56562, 51750, 52904, 70490, 51063, 50849, 63639, 54379, 51142, 61961, 51051, 72571, 50933, 52358, 52986, 66482, 51842, 57762, 50830, 54379, 51210, 59785, 51174, 50668, 50344, 51006, 51776, 50937, 56582, 51138, 51068, 53754, 60486, 51949, 50839, 51020, 51058, 51185, 51058, 51810, 60077, 58918, 54379, 55392, 50668, 50341, 50904, 61961, 55392, 72571, 55174, 51776, 50938, 56582, 50860, 63400, 55453, 50834, 51810, 50897, 51185, 50942, 51020, 50933, 56142, 50948, 52358, 53223, 70431, 51063, 50937, 51075, 50866, 51978, 51012, 60656, 66308, 52172, 51012, 53316, 51909, 52667, 51019, 50878, 52380, 52090, 52223, 53018, 66308, 51063, 50849, 70998, 53319, 51012, 52358, 52616, 73703, 51979, 50924, 51983, 51899, 68325, 52881, 50927, 59083, 55569, 50839, 52563, 50948, 52902, 52761, 63345, 51063, 50937, 51075, 50866, 51960, 59158, 51909, 52667, 70587, 52969, 53393, 51750, 53018, 70490, 51063, 50937, 51075, 50866, 52358, 55698, 54799, 51735, 50444, 66482, 51983, 57762, 53373, 68325, 57143, 54990, 51073, 50456, 50953, 51575, 50870, 56142, 50948, 52969, 51735, 52358, 53576, 70431, 51063, 50917, 51075, 50977, 63201, 66308, 56319, 52270, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 55998, 52493, 52616, 73703, 51931, 60560, 52139, 52881, 50927, 59083, 51916, 50908, 52563, 50948, 52902, 53403, 63345, 51063, 50917, 51075, 50987, 51960, 65719, 52270, 52667, 50964, 55548, 51750, 52904, 70490, 52969, 50896, 51075, 50977, 51063, 50849, 52358, 52986, 66482, 51960, 57762, 53373, 68325, 57143, 53141, 55764, 50953, 53072, 59036, 52969, 51500, 56142, 50948, 52358, 52761, 70431, 51075, 50878, 51063, 50917, 60656, 66308, 53316, 51909, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 50901, 52358, 52616, 73703, 51983, 51899, 68325, 52881, 50927, 59083, 51916, 50870, 52563, 50948, 52902, 53223, 63345, 51063, 50937, 51075, 50866, 52008, 78602, 52275, 52667, 70587, 52969, 53235, 51750, 52958, 70490, 54799, 51427, 51063, 50873, 63639, 52358, 53044, 66482, 51956, 57762, 53373, 73005, 57143, 54990, 51454, 50456, 50953, 53072, 50839, 56142, 50948, 52358, 57056, 52969, 51566, 50420, 70431, 51063, 50937, 51075, 50866, 63201, 66308, 56319, 52270, 52667, 51019, 55576, 52223, 53018, 66308, 51063, 50849, 51075, 54035 ]

[ 0, 250, 1769, 12, 20764, 3495, 8, 15855, 24904, 2125, 19, 10, 1619, 16464, 6, 4246, 10, 3152, 6757, 483, 7513, 30, 21979, 9590, 6, 32909, 6, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 12608, 538, 8, 3905, 10, 204, 73, 306, 86, 6543, 6, 19, 5, 40286, 12608, 8, 2060, 19983, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 66377, 58299, 55981, 50838, 52301, 50838, 53088, 50838, 56864, 55665, 55981, 50838, 52301, 50838, 53088, 52718, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 66377, 57197, 55981, 50838, 53245, 50838, 51859, 50838, 58226, 56109, 55981, 50838, 53245, 50838, 51859, 50838, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 66377, 54869, 55981, 50932, 52301, 50932, 53088, 50932, 56864, 66377, 56509, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 66377, 54980, 54609, 50932, 55981, 50932, 53245, 50932, 58226, 66377, 51003, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 53360, 52054, 50851, 53327, 58782, 55981, 50838, 52301, 50838, 53088, 50838, 56864, 50932, 51248, 52258, 50432, 55981, 50838, 52301, 50838, 53088, 50838, 55957, 53269, 55981, 50932, 53245, 50932, 51859, 50932, 56510, 50932, 62493, 56897, 50822, 52612, 61013, 54609, 50838, 55981, 50838, 53245, 50838, 58226, 50932, 51248, 52258, 50456, 54609, 50838, 55981, 50838, 53245, 56517, 62493, 78200, 50799, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 56864, 50932, 54547, 53327, 51252, 51302, 50907, 59085, 50435, 61237, 58688, 53269, 52211, 50932, 56170, 50932, 55977, 50932, 55981, 50932, 54547, 50447, 61977, 55814, 51723, 50932, 63090, 50932, 53455, 50932, 53503, 50932, 59563, 50459, 61977, 51022, 63355, 51080, 52301, 51080, 53033, 50932, 50856, 52654, 56170, 50932, 55977, 50932, 55981, 50932, 59085, 76744, 51431, 50932, 52301, 50932, 51930, 50932, 50856, 52843, 51641, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 59085, 50459, 54547, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 54547, 53327, 58782, 63090, 50932, 54609, 50932, 55981, 56858, 50907, 59563, 50435, 61237, 58688, 53269, 52061, 50932, 53245, 50932, 51930, 50932, 54547, 55258, 52101, 50447, 61977, 61013, 51509, 50932, 53455, 50932, 53245, 50932, 51859, 50932, 59563, 55350, 79530, 61977, 50907, 67719, 51283, 53088, 51283, 53033, 50932, 50856, 52654, 55981, 50932, 52301, 50932, 59085, 50432, 51509, 50838, 51859, 50838, 76744, 51641, 50932, 53088, 50932, 51930, 50932, 50856, 52843, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 51243, 52301, 51243, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51793, 50932, 54547, 50447, 61977, 55814, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 50932, 59563, 50459, 61977, 51022, 67719, 51283, 53088, 51283, 53033, 50932, 73522, 50822, 53327, 58782, 55981, 50932, 52301, 56858, 50907, 51248, 52258, 50432, 51509, 50838, 51859, 50838, 52594, 56897, 53269, 51641, 50932, 53088, 50932, 51930, 50932, 73522, 50822, 52612, 61013, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 51248, 52258, 50459, 62493, 70968, 63355, 51080, 52301, 51080, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 54547, 50447, 61977, 55814, 51641, 50932, 55977, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 59563, 50459, 61977, 51022, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 50856, 52654, 63090, 50932, 54609, 50932, 55981, 50932, 59085, 76744, 52061, 50932, 53245, 50932, 54021, 50932, 50856, 52843, 51431, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 52301, 50932, 59085, 50459, 54547, 69494, 51080, 53503, 51080, 51930, 50932, 50856, 52654, 63090, 50932, 53455, 50932, 59085, 76744, 51641, 51080, 53088, 51080, 51930, 50932, 50856, 52843, 53455, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 52826, 52301, 52826, 53033, 50932, 50856, 52654, 56170, 50838, 55977, 50838, 55981, 50838, 59085, 50432, 56170, 50838, 55977, 50838, 55981, 50838, 76744, 56170, 50932, 54609, 50932, 55981, 50932, 51930, 50932, 50856, 52843, 56170, 50838, 54609, 50838, 55981, 50838, 59085, 50456, 56170, 50838, 54609, 50838, 55981, 56517, 54547, 50799, 56170, 50932, 55977, 50932, 55981, 50932, 53033, 50932, 54547, 53327, 58782, 51930, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 52211, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 51793, 50932, 54547, 50447, 61977, 55814, 51723, 50932, 63090, 50932, 55977, 50932, 53503, 50932, 52078, 50932, 59563, 50459, 61977, 51022, 63355, 51080, 52301, 51080, 53033, 50932, 73522, 50822, 53327, 55124, 56170, 50932, 55977, 50932, 55981, 50932, 51248, 52258, 55957, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 62493, 55921, 50822, 52612, 55814, 51641, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 51248, 52258, 50459, 62493, 70968, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 50856, 50907, 57493, 51550, 50422, 62493, 62071, 54504, 63090, 50932, 54609, 50932, 55981, 56858, 51022, 51248, 52258, 50434, 61237, 55484, 53269, 52061, 50932, 53245, 50932, 51930, 50932, 54547, 50446, 61977, 55814, 51509, 50932, 53455, 50932, 53245, 50932, 51859, 50932, 51248, 52258, 50458, 61977, 62127, 50851, 67719, 51283, 53088, 51283, 53033, 50932, 73522, 50822, 53327, 55124, 55981, 50932, 52301, 50932, 51248, 52258, 50432, 51509, 50838, 51859, 50838, 55957, 53269, 51641, 50932, 53088, 50932, 51930, 50932, 62493, 55921, 50822, 52612, 55814, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 51248, 52258, 50459, 62493, 70968, 63355, 51243, 52301, 51243, 53033, 50932, 73522, 50822, 53327, 55124, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 50932, 51248, 52258, 57096, 52101, 52594, 58688, 52691, 51793, 50932, 69447, 55258, 51252, 52612, 55814, 56170, 50932, 55977, 50932, 55981, 50932, 51930, 56858, 52101, 51248, 52258, 55350, 79530, 62493, 70968, 67719, 51283, 53088, 51283, 53033, 50932, 50856, 52654, 55981, 50932, 52301, 50932, 59085, 50432, 51509, 50838, 51859, 50838, 76744, 51641, 50932, 53088, 50932, 51930, 50932, 50856, 52843, 52061, 50932, 54609, 50932, 55981, 50932, 53245, 50932, 59085, 50459, 54547, 63355, 51080, 52301, 51080, 53033, 50932, 54547, 53327, 58782, 56170, 50932, 55977, 50932, 55981, 56858, 50907, 59085, 50435, 61237, 58688, 53269, 51431, 50932, 52301, 50932, 51930, 50932, 54547, 50447, 61977, 55814, 51641, 50932, 55977, 50932, 55981, 50932, 52301, 50932, 53088, 50932, 53033, 50932, 59563, 50459, 61977, 51022, 50799, 52061, 51080, 53245, 51080, 54021, 50932, 73522, 50822, 53327, 55124, 63090, 50932, 54609, 50932, 55981, 50932, 51248, 52258, 55957, 53269, 52061, 50932, 53245, 50932, 54021, 50932, 62493, 55921, 50822, 52612, 55814, 51431, 50932, 63090, 50932, 54609, 50932, 55981, 50932, 52301, 50932, 51248, 52258, 50459, 62493, 70968, 69494, 51080, 53503, 51080, 51930, 50932, 54547, 53327, 58782, 63090, 50932, 53455, 56858, 50907, 59563, 50435, 61237, 58688, 53269, 51431, 51080, 52301, 51080, 51930, 50932, 54547, 55258, 52101, 50447, 61977, 61013, 63090, 50932, 53455, 50932, 59563, 55350, 79530, 61977, 50907, 50799, 52211, 53233, 55981, 51243, 51522, 50932, 73522, 50822, 53327, 58782, 56170, 50838, 55977, 50838, 51248, 52258, 50432, 56170, 50838, 55977, 50838, 55957, 53269, 56452, 50932, 54609, 50932, 51868, 50932, 62493, 55484, 52843, 56452, 50838, 63090, 50838, 51793, 50932, 51248, 52258, 50456, 56452, 50838, 63090, 56517, 73522, 50822, 50799 ]

[ 0, 250, 2635, 12, 20764, 3495, 1619, 2214, 11, 272, 538, 6, 4246, 81, 9756, 8669, 6, 228, 438, 4781, 2088, 6757, 6, 21072, 6, 6755, 12547, 6, 8, 21979, 8669, 4, 20, 2125, 7630, 6568, 6453, 9, 657, 8, 11098, 149, 63, 15352, 30054, 15229, 4, 590, 10, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 1918, 6, 272, 6, 211, 401, 6, 1918, 6, 8, 272, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57448, 50799, 51762, 51544, 79932, 53003, 51960, 55524, 52263, 50900, 51244, 51725, 52222, 50852, 57311, 50968, 50901, 51207, 51592, 54439, 68636, 51328, 50986, 51803, 59409, 50833, 65026, 52622, 50437, 50960, 53142, 50929, 52222, 51970, 62204, 63129, 58532, 51330, 69332, 51679, 51180, 56663, 50973, 51480, 55524, 51318, 50900, 51283, 51725, 52071, 50852, 51693, 50419, 51207, 52062, 67855, 69115, 50951, 50937, 50986, 52168, 54439, 51006, 50431, 50876, 50904, 71882, 51361, 66643, 50960, 52431, 50929, 51680, 57267, 51775, 50902, 51380, 50876, 64636, 51961, 51960, 51180, 53003, 63475, 51453, 50928, 53975, 71562, 74471, 51679, 51725, 51749, 50856, 54605, 50951, 50849, 51207, 51637, 50425, 50986, 51423, 50426, 51062, 57038, 66284, 50960, 59780, 50968, 51177, 50436, 60917, 50437, 50998, 64345, 50951, 57864, 52454, 50303, 72272, 50932, 50856, 67520, 51311, 51576, 50444, 51220, 51101, 50449, 51207, 66809, 50968, 66560, 71880, 51574, 50974, 51453, 51258, 50461, 51504, 51178, 56229, 50977, 52029, 50919, 50908, 65882, 51961, 51027, 51381, 50900, 77873, 50999, 50901, 51131, 51562, 51842, 56546, 51255, 50986, 51277, 50852, 57617, 77661, 62432, 50973, 51277, 51026, 66719, 54590, 50318, 61849, 51108, 51311, 51376, 61414, 51895, 50919, 53384, 68103, 51131, 51006, 56222, 51174, 51207, 54836, 50852, 76595, 51311, 53957, 50456, 50877, 51058, 54920, 51991, 77114, 50900, 51172, 51725, 51662, 62279, 51358, 58140, 53738, 50861, 50838, 51207, 51592, 56248, 51576, 68275, 50986, 51314, 50791, 54354, 50960, 68495, 51129, 55203, 51381, 50998, 52783, 50798, 51916, 53594, 50861, 51277, 50449, 62279, 51798, 50916, 53131, 50320, 51177, 51983, 50456, 51910, 52434, 50323, 50845, 64220, 59893, 50837, 54468, 51307, 73767, 51027, 51484, 52012, 51662, 63844, 52149, 65387, 74910, 51916, 61844, 51574, 52783, 56440, 51328, 53523, 53535, 50325, 51295, 51131, 51803, 52008, 50432, 51311, 56777, 52621, 51027, 50995, 50986, 51490, 54933, 54485, 50916, 52985, 50900, 53131, 50325, 51178, 65387, 50849, 63012, 66652, 54996, 54794, 50951, 57498, 51504, 51422, 62279, 51486, 52894, 52222, 50951, 51267, 51050, 66673, 52465, 53403, 50900, 51481, 50986, 55586, 57025, 53130, 50321, 51562, 50970, 79886, 54354, 50929, 54784, 53018, 50900, 51108, 50929, 50829, 50947, 51680, 53804, 54485, 50877, 51254, 50970, 51423, 50449, 50986, 51481, 70925, 63589, 50931, 75494, 50932, 59526, 50455, 66652, 62034, 51137, 63778, 54600, 50968, 60870, 62367, 52071, 54920, 52335, 50900, 52056, 50968, 51677, 51725, 52140, 62279, 51945, 54933, 63180, 51207, 51314, 55902, 50978, 56248, 51312, 50986, 51381, 74270, 50960, 56104, 57405, 50960, 52766, 50900, 51961, 50998, 51452, 52902, 67520, 50986, 51637, 58365, 51423, 50449, 51207, 57991, 50916, 75598, 50873, 51970, 50455, 65387, 55345, 51416, 63988, 59301, 50891, 55975, 56842, 51444, 51945, 69533, 51313, 64220, 51714, 57958, 51592, 50968, 66867, 51484, 50791, 54749, 63266, 51131, 51742, 58973, 63700, 69192, 50960, 51314, 71241, 51337, 50902, 51749, 52008, 50432, 50998, 51387, 50798, 53018, 51027, 51419, 51078, 52980, 53752, 54485, 50989, 51642, 50450, 51684, 60763, 52169, 50306, 71509, 50892, 51983, 50455, 64220, 52961, 50902, 57121, 56772, 52012, 52980, 73730, 51151, 54468, 51449, 51027, 51328, 50876, 51233, 62279, 51894, 58140, 62503, 51574, 51447, 56440, 69192, 51131, 52168, 53523, 64900, 51312, 50791, 54075, 51311, 72494, 57892, 50986, 51703, 63809, 50932, 53752, 54406, 50916, 52188, 56222, 51051, 51983, 50451, 50900, 51365, 50455, 62279, 55345, 50877, 71986, 73496, 51444, 51945, 52894, 51314, 50968, 70460, 50972, 67624, 51243, 64220, 51307, 55418, 64159, 51131, 52168, 58973, 59772, 51254, 50425, 50960, 51490, 53645, 51576, 50902, 51318, 51983, 50431, 50998, 52482, 51974, 57413, 50929, 51080, 57842, 51480, 50899, 51108, 52620, 53325, 50877, 53567, 51137, 50907, 50871, 69715, 60489, 51349, 55293, 51416, 61902, 61982, 62279, 51204, 54920, 51157, 50900, 51534, 50876, 51448, 51725, 51318, 54933, 53405, 50861, 51212, 51207, 62693, 53896, 50916, 50978, 50986, 55468, 59741, 51137, 51112, 50431, 69164, 51974, 57667, 64618, 51295, 58711, 51073, 51086, 51381, 53092, 51189, 51927, 51005, 53885, 50861, 50971, 51207, 50943, 51960, 50449, 51311, 51423, 50450, 51137, 61928, 65482, 55559, 64868, 52920, 50877, 50978, 72203, 50461, 62279, 51592, 66652, 51677, 54920, 51991, 77549, 50900, 51484, 51725, 51422, 54933, 53023, 50861, 50972, 51207, 51490, 61797, 51258, 56248, 51645, 50876, 51148, 50986, 51961, 50852, 62264, 53063, 50960, 63819, 52223, 52958, 64528, 50998, 51103, 61260, 53858, 50861, 50972, 50986, 52011, 50843, 53430, 50916, 52169, 50320, 50845, 51207, 51481, 62279, 50889, 56449, 53173, 51910, 52434, 50323, 51177, 51725, 50863, 64220, 59312, 51129, 54468, 51307, 50999, 51101, 51027, 51775, 51131, 51592, 63844, 51518, 65387, 51486, 67951, 52761, 50916, 50892, 50998, 54829, 52622, 53523, 60472, 51397, 50947, 51419, 50852, 52497, 53196, 51076, 56879, 79693, 52766, 51027, 51318, 51076, 50908, 51032, 51145, 50843, 55047, 53806, 50916, 50974, 50947, 52011, 50843, 57855, 65387, 51111, 55895, 60472, 51203, 50998, 51797, 50791, 51792, 54450, 51131, 74671, 63917, 66652, 66458, 50951, 56842, 67624, 51151, 62279, 51692, 52894, 52222, 50951, 51480, 51504, 52071, 58140, 55916, 51050, 51484, 53502, 51058, 50986, 54829, 52622, 57025, 71227, 51115, 50970, 54211, 50832, 55623, 59277, 65423, 51974, 51406, 55799, 51169, 57352, 50947, 51803, 55203, 51534, 64450, 53384, 57472, 50970, 51797, 50843, 72748, 62279, 50893, 50449, 50832, 55254, 50931, 51363, 50871, 51775, 50986, 51337, 52008, 50455, 64220, 59562, 51137, 50978, 50970, 50368, 51163, 60078, 50968, 56172, 51725, 51714, 54920, 52335, 50900, 51806, 50968, 51677, 65387, 51486, 66951, 63094, 51207, 51244, 55902, 50838, 51960, 50425, 50986, 51351, 56248, 51642, 50832, 53671, 59278, 70698, 51974, 51750, 61562, 51136, 52896, 50900, 51381, 50998, 52151, 50798, 52141, 60362, 62367, 57997, 50861, 50932, 50986, 52518, 50843, 53166, 50916, 52363, 50321, 50987, 51207, 51043, 65387, 51157, 56749, 53563, 51416, 63988, 50942, 50986, 66666, 61969, 69533, 51353, 57958, 51592, 50968, 51101, 50899, 51097, 51444, 52151, 64220, 51692, 71218, 53223, 63009, 50877, 51174, 51131, 51742, 63201, 50989, 62597, 51097, 50986, 51115, 50852, 51872, 62171, 50960, 51212, 51974, 51467, 61562, 50798, 55622, 51027, 50995, 51078, 51103, 50843, 53594, 50989, 51199, 50960, 51447, 50843, 62849, 50968, 50892, 77271, 57105, 51684, 60763, 70460, 51753, 50986, 52063, 54164, 59713, 50902, 70854, 51131, 55638, 63940, 73730, 51307, 50461, 70778, 51991, 54468, 51449, 50876, 51194, 51027, 51576, 52012, 51894, 52620, 53227, 50916, 51074, 51574, 51803, 52008, 50425, 65387, 51486, 53523, 51642, 50876, 51310, 51131, 51194, 50852, 53637, 53644, 51311, 50851, 51927, 51005, 57413, 51131, 51524, 63809, 51380, 51311, 50829, 50986, 51277, 50843, 56630, 53675, 50916, 50972, 51311, 51318, 50843, 62849, 51471, 55895, 50851, 57660, 51131, 51253, 50832, 52579, 50877, 50892, 51574, 56661, 50928, 52894, 51314, 50968, 77704, 51108, 51444, 52071, 64220, 51991, 63844, 50943, 52620, 53227, 50902, 60951, 51470, 51131, 51803, 51970, 50425, 67624, 51056, 53645, 52059, 50902, 51115, 50960, 51295, 50852, 51949 ]

[ 0, 250, 765, 6, 15352, 30054, 5175, 2125, 11, 272, 3694, 6, 4246, 10, 13305, 4, 85, 34, 41, 20425, 8, 1372, 16464, 6, 10686, 13, 10, 822, 19834, 4, 20, 2214, 16, 11, 204, 73, 306, 86, 6543, 8, 3136, 23, 10, 20902, 12701, 4450, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 50861, 51318, 65555, 72239, 54964, 50951, 56237, 51062, 54504, 51405, 60137, 51487, 54661, 50965, 51283, 50876, 56857, 51001, 54584, 50635, 51147, 60887, 50635, 51062, 54682, 50635, 51405, 57764, 50635, 52128, 54626, 50635, 50871, 51477, 50906, 62785, 50635, 50902, 55346, 50635, 50931, 57467, 50635, 51081, 50907, 59626, 51146, 51051, 50417, 51339, 54964, 80235, 50906, 56237, 50902, 54504, 50951, 60137, 51081, 54661, 51146, 56857, 51487, 54584, 50635, 50956, 51477, 50965, 60887, 50635, 50876, 54682, 50635, 51001, 57764, 50635, 51147, 54626, 50635, 51062, 62785, 50635, 51405, 55346, 50635, 50871, 51283, 50965, 57467, 50635, 65996, 59626, 76521, 50417, 51147, 54964, 51062, 56237, 51339, 50907, 53337, 57935, 60137, 50973, 54661, 50861, 57777, 56857, 50951, 54584, 50635, 50902, 51712, 50327, 60887, 50635, 51146, 54682, 50635, 50951, 51260, 50335, 57764, 50635, 51146, 54626, 50635, 50902, 51712, 50327, 62785, 50635, 50951, 55346, 50635, 50861, 57777, 57467, 50635, 50973, 50907, 59626, 50861, 51318, 65555, 72239, 54964, 50951, 56237, 51062, 54504, 51405, 60137, 51487, 54661, 50965, 51283, 50876, 56857, 51001, 54584, 50635, 51147, 60887, 50635, 51062, 54682, 50635, 51405, 57764, 50635, 52128, 54626, 50635, 50871, 51477, 50906, 62785, 50635, 50902, 55346, 50635, 50931, 57467, 50635, 51081, 50907, 59626, 51146, 51051, 50417, 51339, 54964, 80235, 50906, 56237, 50902, 54504, 50951, 60137, 51081, 54661, 51146, 56857, 51487, 54584, 50635, 50956, 51477, 50965, 60887, 50635, 50876, 54682, 50635, 51001, 57764, 50635, 51147, 54626, 50635, 51062, 62785, 50635, 51405, 55346, 50635, 50871, 51283, 50965, 57467, 50635, 65996, 59626, 76521, 50417, 51147, 54964, 51062, 56237, 51339, 50907, 53337, 57935, 60137, 50973, 54661, 50861, 57777, 56857, 50951, 54584, 50899, 51712, 50327, 60887, 51146, 54682, 51086, 51260, 50335, 57764, 51146, 54626, 51026, 51712, 50327, 62785, 50951, 55346, 51120, 57777, 57467, 50973, 50907, 54594, 78377, 51405, 55752, 50931, 56427, 50965, 51283, 51146, 55659, 50635, 51001, 77131, 50635, 50444, 50635, 51062, 71106, 50635, 50450, 50635, 50871, 51477, 50453, 50635, 50456, 50635, 51405, 67273, 50635, 59626, 50931, 51481, 55902, 51283, 51146, 55752, 51001, 57937, 50635, 50956, 51477, 50441, 50635, 50444, 50635, 51001, 57060, 50635, 50450, 50635, 51114, 70184, 50635, 50456, 50635, 50871, 51283, 50999, 56517, 50635, 59626, 51146, 55126, 51787, 52688, 50899, 51712, 50335, 55544, 50861, 77868, 52718, 50635, 50902, 51712, 50328, 68861, 50635, 50444, 50635, 50951, 74984, 51283, 50447, 50635, 50450, 50635, 50902, 70184, 50635, 50456, 50635, 50861, 56517, 50635, 59626, 50861, 78377, 51405, 55752, 50931, 56427, 50965, 51283, 51146, 55659, 50635, 51001, 77131, 50635, 50444, 50635, 51062, 71106, 50635, 50450, 50635, 50871, 51477, 50453, 50635, 50456, 50635, 51405, 67273, 50635, 59626, 50931, 51481, 55902, 51283, 51146, 55752, 51001, 57937, 50635, 50956, 51477, 50441, 50635, 50444, 50635, 51001, 57060, 50635, 50450, 50635, 51114, 70184, 50635, 50456, 50635, 50871, 51283, 50951, 56517, 50635, 59626, 50902, 55126, 50876, 52688, 50899, 78288, 51244, 58319, 55659, 50899, 59388, 51086, 56989, 51026, 52104, 50319, 50851, 50951, 56936, 69017, 50931, 53820, 51120, 80095, 50912, 51001, 54846, 62007, 59139, 53975, 51481, 50861, 55512, 55041, 50861, 77413, 73585, 54335, 50956, 67891, 73275, 54342, 50861, 70358, 75598, 54137, 50997, 52104, 50319, 68294, 50981, 57428, 51074, 56279, 67891, 52026, 50328, 58843, 50871, 51074, 58526, 51481, 50951, 74616, 50981, 58097, 51074, 53523, 72895, 51853, 50326, 54342, 50956, 74056, 53131, 50328, 54137, 50931, 75668, 52104, 50319, 50974, 50440, 50951, 64524, 50931, 54394, 50951, 61123, 70358, 69262, 50931, 61800, 50951, 53996, 50899, 64675, 64369, 62214, 50871, 77413, 50838, 54197, 51481, 50876, 67120, 50905, 53502, 74337, 52688, 51176, 64675, 66102, 51097, 56014, 55659, 51026, 73585, 78504, 50974, 55989, 74337, 52985, 51086, 64675, 66102, 62214, 50899, 51074, 58526, 51481, 50876, 77410, 55126, 50956, 65721, 52688, 50900, 73585, 55544, 50956, 52216, 50319, 52718, 50635, 50997, 75598, 75576, 50635, 50444, 50635, 50871, 77413, 57060, 50635, 50450, 50635, 50899, 72895, 50874, 51081, 70184, 50635, 50931, 53176, 50635, 50871, 52216, 50319, 50827, 51146, 56517, 50635, 58254, 59626, 50900, 51481, 50861, 55512, 55041, 50861, 77413, 73585, 54335, 50956, 67891, 73275, 54342, 50861, 70358, 75598, 54137, 50997, 52104, 50319, 68294, 50981, 57428, 51074, 56279, 67891, 52019, 50328, 59835, 50951, 53176, 50871, 52216, 50330, 54529, 60299, 58526, 51481, 50951, 51911, 50331, 58172, 51339, 53004, 50956, 52216, 50335, 53591, 51062, 52580, 50900, 72895, 51712, 50330, 55544, 50956, 74056, 64079, 52718, 50997, 52104, 50319, 51712, 50328, 56391, 50871, 70358, 57945, 52985, 50899, 72895, 51712, 50330, 59835, 51405, 53176, 50871, 52216, 50326, 51260, 50333, 50838, 54197, 51481, 51062, 51412, 51487, 58172, 51405, 53004, 50900, 52216, 50328, 56909, 51339, 52580, 51176, 72895, 52019, 50330, 58519, 51081, 52739, 50900, 52216, 50330, 53720, 51405, 52788, 51026, 52104, 50330, 75576, 50931, 53086, 50899, 52216, 50328, 54043, 51001, 52989, 51086, 52104, 50326, 70184, 50902, 53176, 50899, 52216, 50319, 50827, 50951, 56517, 51405, 50838, 58526, 51481, 51405, 67943, 50951, 53004, 50956, 74337, 77868, 53591, 50931, 52580, 50900, 52104, 50328, 50874, 51146, 71714, 51001, 52739, 50956, 52216, 50326, 50827, 51405, 56784, 50902, 52788, 50635, 50997, 52104, 50319, 58666, 50635, 50931, 53086, 50635, 50871, 64900, 54043, 50635, 50902, 52989, 50635, 50899, 52104, 50319, 59835, 50635, 50906, 53176, 50635, 50871, 64900, 54529, 50635, 58254, 59626, 51027, 51481, 50877, 58903, 55041, 50916, 80095, 72895, 50905, 53523, 67891, 73276, 54342, 50916, 70358, 52104, 50327, 54137, 51026, 71509, 52026, 50328, 50981, 55989, 56989, 51086, 52104, 50325, 52026, 50332, 58843, 50899, 51074, 54197, 51481, 50999, 51911, 50332, 50995, 53502, 55752, 51027, 72895, 51712, 50332, 55544, 50900, 77882, 77868, 52718, 51026, 73585, 52019, 50328, 50974, 55989, 52216, 50327, 52985, 51086, 73585, 78172, 56711, 50899, 74337, 50838, 54868, 51481, 50902, 51644, 50325, 51108, 56945, 72713, 52688, 51050, 67252, 78172, 70550, 51027, 55659, 51315, 73585, 51712, 50327, 68288, 51086, 72713, 52985, 51176, 67252, 78172, 73786, 51086, 51074, 54197, 51481, 50877, 60250, 50905, 53502, 72713, 52688, 51027, 78288, 51712, 50327, 55544, 50900, 64900, 65348, 52718, 50635, 51026, 73585, 52019, 50330, 68861, 50635, 50444, 50635, 50899, 74337, 57060, 50635, 50450, 50635, 51086, 71509, 50874, 50951, 70184, 50635, 50902, 53176, 50635, 50899, 64900, 50827, 51220, 56517, 50635, 61661, 59626, 51027, 51481, 50877, 58903, 55041, 50916, 80095, 72895, 50905, 53523, 67891, 73276, 54342, 50916, 70358, 52104, 50327, 54137, 51026, 71509, 52026, 50328, 50981, 55989, 56989, 51086, 52104, 50325, 50874, 51430, 78252, 50968, 53176, 50899, 52216, 50327, 54529, 57910, 54197, 51481, 51062, 50822, 51430, 51412, 50417, 51146, 53004, 50900, 52216, 50332, 56909, 50999, 52580, 51027, 52104, 50327, 51712, 50332, 55544, 50900, 74337, 77868, 52718, 51026, 52104, 50325, 51712, 50328, 50974, 55989, 72713, 74984, 52985, 51086, 52104, 50327, 50874 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 274, 538, 6, 4246, 10, 20902, 13305, 33301, 7513, 30, 31391, 1672, 9590, 8, 21072, 6, 7630, 14805, 10, 1372, 8, 20425, 6711, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 177, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51684, 50991, 50899, 50991, 50902, 55568, 62405, 52474, 59065, 50800, 50968, 51620, 50798, 57102, 52584, 57722, 78858, 52262, 52584, 57722, 50800, 57061, 54585, 71244, 69222, 51730, 53218, 51349, 71244, 69222, 51757, 51526, 66209, 59123, 51730, 53312, 51416, 60692, 50800, 56143, 54983, 50991, 50997, 50991, 50906, 55568, 62405, 51416, 60692, 66303, 51620, 50798, 57102, 51684, 61441, 64441, 52262, 51684, 61441, 50800, 57213, 54908, 60692, 66303, 51730, 53218, 51416, 60692, 66303, 51757, 52458, 77099, 50800, 51028, 51730, 53312, 52458, 77099, 50800, 67243, 57958, 50991, 50899, 50991, 50902, 55568, 62405, 52474, 59065, 50800, 50968, 51620, 50798, 57102, 52584, 57722, 78858, 52262, 52584, 57722, 50800, 57061, 54585, 71244, 69222, 51730, 53218, 51349, 71244, 69222, 51757, 51526, 66209, 59123, 51730, 53312, 51416, 60692, 50800, 56143, 54983, 50991, 50997, 50991, 50906, 55568, 62405, 51416, 60692, 66303, 51620, 50798, 57102, 51684, 61441, 64441, 52262, 51684, 61441, 50800, 57213, 54908, 60692, 66303, 51730, 53218, 51416, 60692, 66303, 51757, 52458, 77099, 50800, 51028, 51730, 53312, 52458, 77099, 50800, 67243, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 19448, 5175, 25771, 2214, 19, 10, 15352, 30054, 8, 5679, 26709, 5466, 6, 4246, 38668, 18569, 6, 21072, 6, 17605, 9590, 6, 3152, 6757, 6, 8, 3741, 27374, 594, 4, 8504, 11, 5, 762, 9, 274, 10431, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 10, 38451, 3938, 20889, 9, 727, 13410, 228, 2289, 4, 20, 33215, 16739, 9, 83, 6, 230, 10431, 406, 6, 274, 10431, 119, 6, 230, 10431, 6, 8, 211, 3639, 7, 5, 980, 219, 8, 2635, 16464, 9, 42, 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 ]

[ 56103, 76501, 65725, 51109, 61155, 51109, 57041, 51159, 50799, 59521, 55572, 51052, 55267, 50810, 55831, 51109, 57041, 51109, 55837, 51159, 51402, 53004, 59521, 52516, 50833, 51510, 50912, 51302, 52010, 55831, 50866, 57041, 50866, 55837, 69353, 59521, 51031, 51361, 50984, 56431, 50866, 53956, 50866, 55862, 71148, 59521, 51745, 53947, 50810, 51570, 51022, 57041, 51109, 55837, 51109, 53136, 51159, 51572, 57043, 57665, 50447, 50852, 50912, 51382, 51052, 50833, 57041, 50866, 55837, 50866, 54173, 75409, 59521, 51392, 56838, 65753, 51187, 50803, 57041, 50866, 55837, 50866, 53136, 67238, 50688, 50303, 51187, 51252, 50799, 57224, 55461, 52010, 56431, 51109, 55521, 51109, 55862, 51159, 51402, 52101, 50420, 57224, 67116, 50833, 51510, 51022, 51302, 52010, 56431, 51109, 55521, 51109, 55837, 51159, 51361, 53720, 63018, 54279, 50827, 68773, 57865, 53432, 51052, 50808, 61155, 51109, 57041, 51109, 54142, 51159, 51572, 57043, 57865, 61940, 51858, 50808, 51382, 51052, 50808, 65725, 51109, 61155, 51109, 57041, 51159, 51647, 51022, 51453, 50808, 52198, 67992, 50827, 50799, 59521, 52750, 52010, 55831, 50866, 57041, 50866, 55837, 50917, 50417, 59521, 51239, 53004, 59521, 51156, 50833, 56431, 50866, 53956, 50866, 55862, 78768, 50688, 50303, 51156, 50912, 51302, 52010, 57041, 50866, 55837, 50866, 53136, 69353, 59521, 50811, 51361, 50984, 57041, 50866, 55837, 50866, 54173, 71148, 59521, 51072, 53947, 50810, 51570, 51022, 55837, 51109, 53136, 51109, 57106, 51159, 51572, 57043, 57665, 50447, 59521, 51759, 54823, 64748, 51463, 51052, 50833, 57041, 51109, 55837, 51109, 54173, 51159, 51647, 56838, 64748, 52675, 52937, 50688, 50303, 52675, 51252, 50799, 57865, 50976, 57665, 54142, 51422, 55862, 51422, 57106, 51486, 51402, 50827, 51039, 54588, 57224, 52873, 54325, 65753, 52279, 52010, 50429, 50801, 56327, 78289, 55456, 54134, 51553, 55920, 51553, 52911, 51068, 51049, 54988, 51068, 51594, 50803, 65725, 51109, 61155, 51109, 57041, 51159, 50453, 51553, 54403, 51224, 50803, 50799, 59521, 55572, 52010, 55831, 51109, 57041, 51109, 55837, 51159, 51402, 52101, 50420, 59521, 52516, 50833, 51510, 51022, 51302, 52010, 55831, 50866, 57041, 50866, 55837, 69353, 59521, 51031, 51361, 50827, 56431, 50866, 53956, 50866, 55862, 71148, 59521, 51745, 50801, 50827, 52068, 51658, 51052, 50808, 57041, 51109, 55837, 51109, 53136, 51159, 51572, 57043, 50801, 51858, 50808, 51382, 51052, 50808, 57041, 50866, 55837, 50866, 54173, 75409, 59521, 51392, 56773, 65753, 51187, 50808, 57041, 50866, 55837, 50866, 53136, 67238, 50688, 50303, 54212, 67992, 50827, 50799, 57224, 55461, 52010, 56431, 51109, 55521, 51109, 55862, 51159, 50417, 50852, 64080, 57224, 67116, 50833, 51510, 51022, 51302, 52010, 56431, 51109, 55521, 51109, 55837, 51159, 51361, 53720, 63018, 54279, 50827, 68773, 57865, 53432, 51052, 50808, 61155, 51109, 57041, 51109, 54142, 51159, 51572, 57043, 57865, 61940, 51858, 50808, 51382, 51052, 50808, 65725, 50866, 61155, 50866, 57041, 50917, 51647, 51022, 51453, 50808, 65725, 50866, 61155, 50866, 57041, 50917, 52198, 67992, 50827, 72723, 55572, 52010, 65661, 50866, 55831, 50866, 54240, 50917, 51402, 53004, 53631, 52516, 50833, 56477, 50866, 56431, 50866, 53956, 50917, 51510, 50912, 51302, 52010, 55831, 50866, 54240, 50866, 55837, 69353, 53631, 51031, 51361, 50984, 56431, 50866, 54240, 50866, 55862, 71148, 53631, 55572, 51508, 52729, 53930, 52448, 51022, 56431, 51109, 53956, 51109, 53136, 51159, 51572, 57043, 57665, 50447, 50852, 50912, 51382, 51052, 50833, 56431, 50866, 53956, 50866, 55862, 75409, 53930, 50898, 56838, 60706, 51239, 50803, 61155, 50866, 56431, 50866, 53956, 67238, 64748, 51239, 51252, 51755, 52010, 55831, 52644, 57041, 52644, 55837, 52903, 51402, 52101, 51039, 54588, 59521, 50898, 51022, 51302, 52010, 51361, 53720, 59521, 52750, 50827, 68773, 64748, 52750, 51052, 54134, 59521, 52223, 57043, 64748, 54036, 51858, 50808, 51382, 51052, 53987, 53930, 51156, 56773, 64748, 52675, 53848, 59521, 51779, 67992, 50827, 50799, 59521, 50976, 52962, 57802, 54275, 52006, 54945, 51039, 57079, 65753, 53933, 53433, 66622, 52580, 50688, 50303, 52750, 58163, 55104, 50852, 50810, 51361, 52877, 50804, 61618, 50801, 51779, 53103, 50801, 52984, 50579, 51550, 52612, 50882, 51382, 50822, 57041, 50866, 55837, 50866, 53136, 75409, 50801, 56662, 56838, 50801, 51779, 59714, 50803, 57041, 50866, 55837, 50866, 54173, 67238, 59011, 71568, 52750, 51052, 65209, 55771, 50808, 53956, 51109, 53136, 51109, 57106, 51159, 51914, 51151, 51617, 51307, 51982, 64163, 60612, 55771, 54448, 53133, 51052, 57079, 60612, 66622, 50844, 51302, 68494, 53956, 50866, 53136, 50866, 57106, 69353, 53133, 54046, 56386, 51269, 53782, 51582, 63685, 51550, 53956, 51134, 53136, 51134, 57106, 51191, 50435, 53133, 61940, 52229, 60207, 50858, 51570, 56050, 50856, 56854, 66027, 65932, 50856, 66622, 51550, 51382, 51052, 57488, 59603, 50882, 53136, 50866, 57106, 50866, 54030, 75409, 53133, 51663, 53820, 53930, 51239, 64992, 50907, 53956, 50866, 53136, 50866, 57106, 67238, 56072, 54376, 50361, 51002, 56700, 60207, 50874, 50799, 53930, 55461, 51052, 60035, 55771, 50858, 53956, 51109, 55862, 51109, 54173, 51159, 52949, 51047, 51953, 51103, 51617, 63229, 75057, 53066, 53930, 67116, 51252, 52880, 51218, 60729, 51252, 54267, 51134, 73973, 57488, 50803, 57041, 50866, 53956, 50866, 53136, 69353, 50856, 58701, 51123, 53489, 51116, 70273, 51372, 50812, 54142, 51134, 55862, 51134, 54173, 51191, 50435, 64748, 54279, 50363, 51024, 60207, 54362, 57865, 53432, 68494, 53503, 51047, 52421, 51103, 52317, 66584, 75057, 56854, 51820, 57865, 51059, 53978, 53232, 51218, 50447, 60612, 66622, 51123, 52661, 51134, 51382, 51052, 57488, 50858, 54142, 50866, 55862, 50866, 57106, 75409, 50856, 56386, 50851, 54832, 51116, 65095, 52462, 50791, 50984, 54142, 50866, 55862, 50866, 54173, 50917, 62190, 52229, 60207, 50851, 50799, 59521, 52750, 51052, 57802, 50821, 57041, 51109, 55837, 51109, 53136, 51159, 53144, 51151, 52421, 51307, 52333, 64163, 60612, 59532, 54448, 59521, 51052, 57079, 60612, 69253, 50844, 73973, 57488, 50858, 57041, 50866, 55837, 50866, 54173, 69353, 59521, 54046, 56386, 51269, 53782, 51582, 63685, 51550, 55837, 51134, 53136, 51134, 57106, 51191, 50435, 59521, 61940, 52229, 60207, 50858, 51570, 56050, 50801, 52229, 56854, 66027, 65932, 50856, 66622, 51550, 51382, 51052, 57488, 59603, 50882, 57041, 50866, 55837, 50866, 53136, 75409, 59521, 51663, 56386, 53176, 65753, 51239, 64992, 50907, 55831, 50866, 57041, 50866, 55837, 67238, 64748, 54376, 50361, 58290, 54336, 60207, 50874, 50799, 57865, 55461, 51052, 60035, 55771, 50821, 57041, 51109, 54142, 51109, 55862, 51159, 53503, 51151, 52421, 51307, 52317, 64163, 75057, 59532, 52871, 57865, 67116, 51252, 53469, 51417, 60729, 51269, 52661, 51115, 73973, 57488, 50803, 57041, 50866, 54142, 50866, 53136, 69353, 50856, 58701, 50912, 54832, 50889, 70273, 51372, 50812, 57041, 51134, 54142, 51134, 55862, 51191, 50435, 65753, 54279, 62127, 60207, 54362, 57865, 54279, 51052, 56050, 75057, 60806, 51820, 57865, 51573, 53978, 53469, 51241, 50447, 60612, 69253, 51123, 51382, 53972, 51594, 57488, 50858, 54142, 50866, 55862, 50866, 54173, 75409, 50856, 64136, 50912, 54832, 51111, 65095, 51550, 52352, 51372, 50851, 57041, 50866 ]

[ 0, 250, 765, 37903, 9, 5679, 26709, 5175, 930, 19, 10, 2933, 8, 3366, 219, 5466, 6, 4246, 38668, 22052, 6, 31391, 1672, 9590, 6, 21711, 102, 6, 38668, 483, 6, 8, 13305, 6, 278, 11, 272, 3694, 19, 10, 20889, 9, 21436, 741, 1685, 8, 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, 0, 0, 0 ]

[ 58402, 52998, 50795, 52585, 50800, 55538, 50795, 53865, 50918, 72286, 51036, 55575, 51036, 53370, 51036, 55931, 64163, 62733, 55747, 62733, 51620, 53787, 50795, 52585, 51628, 62733, 63363, 53354, 50795, 63370, 52831, 62733, 54811, 53787, 53658, 62733, 54721, 52585, 52809, 52998, 51923, 62733, 50879, 50799, 53907, 50795, 52584, 50800, 52956, 50795, 59610, 51036, 53733, 51036, 53818, 51036, 58714, 64163, 60160, 55747, 60160, 53950, 53283, 50795, 52584, 51628, 60160, 63363, 54505, 50795, 65270, 50800, 56078, 66584, 60160, 54811, 53283, 53658, 60160, 54721, 52584, 52809, 53907, 51923, 60160, 50879, 50799, 52998, 50795, 52993, 50800, 52912, 50795, 54971, 50918, 56833, 51492, 53370, 51492, 53949, 51492, 60047, 51492, 50417, 57788, 55747, 57788, 53950, 53787, 50795, 52993, 51628, 57788, 63363, 53354, 50795, 69031, 50800, 53304, 66584, 57788, 54811, 53787, 53658, 57788, 54721, 52993, 52809, 52998, 51923, 57788, 50879, 50799, 52998, 50795, 52993, 50800, 53159, 63229, 57788, 55747, 57788, 53950, 53787, 50795, 52993, 51628, 57788, 63363, 53354, 50795, 69031, 50800, 58083, 66584, 57788, 54811, 53787, 53658, 57788, 54721, 52993, 52809, 52998, 51923, 57788, 50879, 50799, 61279, 50795, 51416, 50800, 53919, 50795, 53865, 50918, 65852, 52045, 54884, 52045, 53370, 52045, 55931, 52045, 50417, 55301, 55747, 55301, 53950, 52998, 50795, 51416, 51628, 55301, 63363, 53787, 50795, 54908, 50800, 53554, 66584, 55301, 54811, 52998, 53658, 55301, 54721, 51416, 52809, 61279, 51923, 55301, 50879, 50799, 61279, 50795, 51416, 50800, 53159, 63229, 55301, 55747, 55301, 53950, 52998, 50795, 51416, 51628, 55301, 63363, 53787, 50795, 57080, 50800, 52912, 50795, 58083, 50918, 70075, 50918, 54511, 50918, 53733, 50918, 55014, 66584, 57435, 54811, 52998, 53658, 57435, 54721, 51684, 52809, 61279, 51923, 57435, 50879, 50799, 61279, 50795, 52585, 50800, 52052, 50795, 53865, 50918, 72286, 51492, 55575, 51492, 53370, 51492, 55931, 51492, 50417, 62733, 55747, 62733, 53950, 52998, 50795, 52585, 51628, 62733, 63363, 53787, 50795, 63370, 50800, 53554, 66584, 62733, 54811, 52998, 53658, 62733, 54721, 52585, 52809, 61279, 51923, 62733, 50879, 50799, 61279, 50795, 52585, 50800, 53159, 63229, 62733, 55747, 62733, 53950, 52998, 50795, 52585, 51628, 62733, 63363, 53787, 50795, 63370, 52831, 62733, 54811, 52998, 53658, 62733, 54721, 52585, 52809, 61279, 51923, 62733, 50879, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 6, 20425, 5175, 37903, 11, 211, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 881, 21263, 9, 5, 33215, 16739, 274, 10431, 119, 406, 6, 211, 6, 230, 10431, 119, 406, 428, 245, 73, 387, 6, 274, 10431, 119, 406, 6, 211, 6, 70, 25451, 23, 10, 20902, 12701, 4450, 20889, 11, 204, 73, 306, 86, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 55673, 58938, 51324, 55673, 57775, 51028, 51724, 51027, 55673, 59323, 51027, 55673, 59831, 67243, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 57551, 59625, 58938, 51315, 59625, 60847, 51315, 59625, 59830, 50877, 51757, 51315, 59625, 59831, 51028, 50830, 58066, 55673, 58938, 51324, 55673, 57775, 51028, 53402, 51027, 55673, 59323, 51027, 55673, 59831, 51028, 50830, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 57579, 54955, 56190, 50991, 56947, 56190, 60847, 51026, 56190, 59830, 50877, 51757, 51026, 56190, 59831, 67243, 54955, 55673, 51631, 51026, 55673, 57775, 50968, 51724, 51315, 61907, 59830, 50968, 51757, 51315, 55673, 59831, 67243, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 765, 3495, 2214, 19, 10, 2842, 9, 5175, 2712, 6, 4246, 10, 11739, 9, 13305, 6, 32909, 6, 326, 5638, 18026, 6, 8, 17465, 102, 4, 20, 2125, 7630, 6568, 10, 1186, 9, 8597, 6, 31, 5, 11098, 8, 657, 7, 5, 20292, 6, 55, 25306, 3423, 4, 8504, 11, 5, 762, 9, 12608, 538, 8, 3185, 30, 41, 12447, 1001, 20889, 6, 24, 18, 17407, 30, 10, 5705, 16331, 33215, 16739, 9, 12608, 8, 2060, 6, 6946, 7, 63, 15352, 30054, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52552, 50630, 52274, 52274, 52274, 52552, 51001, 51199, 58526, 52169, 50304, 58007, 55126, 50956, 67220, 52688, 50965, 69667, 55544, 50956, 67220, 52718, 51176, 77803, 58007, 56391, 50956, 67220, 52985, 50965, 69667, 56711, 50956, 67220, 51006, 58526, 52169, 50317, 51962, 50305, 55041, 50871, 73793, 57104, 50965, 52363, 50317, 51058, 58783, 71227, 56480, 51176, 77803, 66714, 51477, 61614, 57299, 50965, 61703, 50956, 78393, 51006, 57346, 64611, 73793, 71508, 70589, 51028, 57104, 51040, 64238, 52363, 50312, 52363, 50321, 62050, 51147, 51006, 55203, 71678, 67307, 51962, 50319, 61972, 51147, 51006, 55895, 53130, 50307, 53130, 50312, 53130, 50319, 61703, 50876, 51006, 55881, 52169, 50300, 52169, 50304, 66714, 58187, 51197, 53130, 50302, 61875, 75865, 63821, 61417, 51503, 77803, 53130, 50307, 53130, 50300, 65479, 54058, 53777, 51380, 51503, 65876, 53130, 50307, 53130, 50300, 71387, 50974, 79705, 60236, 51962, 50288, 52026, 50300, 60726, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59791, 50876, 57299, 50965, 61703, 53777, 67220, 51006, 79705, 73658, 51962, 50288, 52026, 50300, 60726, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 55512, 51006, 79705, 71678, 51962, 50288, 52026, 50300, 60115, 53407, 67220, 57104, 53777, 52363, 50312, 62050, 53250, 67220, 56480, 54414, 51477, 50956, 52363, 50283, 52026, 50295, 59242, 50906, 51006, 56222, 61703, 53777, 64066, 51006, 79705, 60236, 51962, 50288, 52026, 50300, 60115, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59242, 50876, 57299, 50965, 61703, 53777, 67220, 51006, 78857, 60236, 51962, 50293, 72110, 60115, 53407, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 52363, 50307, 52363, 50288, 52026, 50300, 59242, 53250, 67220, 57299, 57147, 52363, 50312, 61703, 54414, 67220, 50838, 79705, 67307, 67220, 51568, 50288, 52026, 50300, 60115, 53777, 77964, 57104, 54414, 64328, 53130, 50314, 51644, 50283, 52454, 50295, 57648, 53250, 77964, 56480, 57147, 51380, 50965, 53130, 50316, 51568, 50288, 52026, 50300, 59242, 50956, 57299, 50965, 53130, 50316, 54509, 53777, 77964, 51006, 50799, 56853, 51644, 50288, 52026, 50300, 60726, 56853, 60420, 78502, 67891, 58069, 56853, 52363, 50307, 67816, 63257, 55378, 56418, 77964, 53131, 50312, 53131, 50316, 70448, 56853, 52363, 50288, 52026, 50300, 59242, 53863, 77964, 53131, 50312, 67891, 58369, 53407, 64238, 53130, 50312, 71174, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 78857, 51962, 50293, 72110, 60115, 55343, 64611, 78502, 52104, 50317, 58069, 53407, 64238, 67816, 71174, 55378, 56853, 64611, 53131, 50312, 53131, 50317, 70448, 53777, 51477, 51503, 52026, 50300, 59242, 50956, 78502, 67891, 58369, 50956, 67816, 63257, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 50799, 56853, 51644, 50288, 52026, 50300, 60726, 56853, 60420, 78502, 67891, 58069, 56853, 52363, 50307, 67816, 63257, 55378, 56418, 77964, 53131, 50312, 53131, 50316, 70448, 56853, 52363, 50288, 52026, 50300, 59242, 53863, 77964, 53131, 50312, 67891, 58369, 53407, 64238, 53130, 50312, 71174, 57092, 53777, 77964, 53131, 50312, 53131, 50316, 51254, 77632, 51962, 50290, 71117, 60115, 54414, 52169, 50306, 78502, 72397, 58069, 53250, 69887, 67816, 65273, 55378, 53077, 52169, 50306, 53131, 50312, 53131, 50314, 70448, 53777, 51477, 51197, 53130, 50307, 55200, 50861, 53131, 50314, 53131, 50319, 54323, 52046, 53131, 50295, 54509, 53777, 64716, 53131, 50317, 53131, 50307, 51079, 79705, 73658, 51962, 50288, 52026, 50300, 60115, 53250, 55512, 57104, 53250, 71387, 62050, 53250, 55512, 56480, 53250, 67736, 52363, 50288, 52026, 50300, 59791, 53250, 55512, 57299, 53250, 71387, 61703, 53250, 67220, 51006, 50799, 55343, 65482, 51962, 50288, 52026, 50300, 60726, 57147, 52169, 50317, 57104, 55343, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 51477, 50956, 52363, 50288, 52026, 50300, 59242, 50876, 57299, 50965, 61703, 53777, 50827, 50876, 72486, 53777, 50864, 50799, 56853, 65482, 51962, 50293, 72110, 60115, 53863, 52169, 50317, 57104, 56853, 52363, 50312, 62050, 53407, 52169, 50317, 56480, 53777, 52363, 50288, 52026, 50300, 59242, 56853, 60420, 53131, 50312, 53131, 50316, 67042, 56853, 52363, 50281, 52454, 50293, 58843, 53407, 64611, 53131, 50312, 53131, 50317, 51254, 50799, 53777, 51962, 50283, 52026, 50295, 60115, 53250, 77964, 53131, 50312, 53131, 50316, 54335, 54414, 52363, 50283, 52454, 50295, 57648, 53250, 77964, 74998, 53131, 50317, 70448, 57147, 51477, 50965, 53130, 50316, 51644, 50288, 52454, 50300, 59791, 50956, 57299, 50965, 53131, 50316, 54509, 61478, 51006, 52770, 50838, 52608, 51006, 59378, 77964, 50838, 50799, 57147, 50978, 52770, 50905, 52394, 50905, 56381, 51644, 50288, 53130, 50307, 73793, 67220, 51962, 50300, 55126, 54414, 51006, 52770, 50838, 52394, 50838, 56381, 52688, 53250, 51058, 52770, 50974, 52394, 50974, 56381, 51712, 50288, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 55544, 55343, 51006, 52770, 51006, 52394, 50838, 56381, 52718, 53777, 50974, 52185, 50974, 52394, 50974, 56381, 51712, 50288, 53130, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 55103, 53777, 50838, 52185, 50838, 52394, 50838, 56381, 52985, 53777, 51058, 52185, 51058, 52394, 50974, 56381, 51712, 50288, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 56711, 53250, 51006, 52770, 50838, 52394, 51006, 56381, 50838, 50799, 57147, 50978, 52770, 50978, 52608, 50978, 56381, 51644, 50288, 53130, 50307, 73793, 67220, 52415, 50300, 55041, 53250, 51006, 52185, 50838, 52394, 51006, 56381, 57104, 55343, 51058, 52185, 51058, 51978, 51058, 58881, 51712, 50293, 78067, 53130, 50312, 53130, 50317, 53130, 50305, 54342, 53407, 51006, 52226, 51006, 52656, 50838, 58881, 56480, 53777, 51477, 51643, 51477, 52656, 51477, 56381, 51477, 51503, 53130, 50307, 53130, 50312, 53130, 50316, 52415, 50300, 54058, 51503, 53131, 50307, 53130, 50312, 53130, 50316, 53130, 50300, 54509, 53777, 50827, 51643, 50827, 52656, 50827, 56381, 54529, 53777, 50864, 51643, 50864, 52656, 50864, 56381, 50864, 50799, 56853, 50978, 52226, 50905, 51978, 50905, 58881, 51644, 50293, 72110, 60115, 53863, 51006, 52226, 50838, 51978, 51006, 58881, 57712, 78502, 52104, 50317, 58069, 56853, 51058, 52226, 50974, 53580, 50974, 58881, 59704, 67816, 71174, 55378, 53407, 51006, 52226, 51006, 53580, 51006, 58881, 64611, 53131, 50312, 53131, 50317, 70448, 53777, 51058, 52185, 50974, 52394, 50974, 56381, 51712, 50288, 53130, 50300, 55200, 56853, 50838, 52185, 50838, 52394, 51006 ]

[ 0, 250, 32076, 8, 15352, 30054, 3495, 2214, 4246, 10, 2216, 11739, 9, 5921, 3343, 1290, 642, 5255, 6, 1481, 677, 2957, 16940, 6, 2662, 271, 6, 1076, 560, 31365, 25999, 6, 8, 856, 17993, 6, 2351, 10, 19448, 5466, 19, 10, 11602, 9, 657, 4, 8504, 11, 5, 762, 9, 381, 3694, 8, 6780, 10, 5204, 204, 73, 306, 86, 6543, 6, 5, 2214, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 230, 6, 274, 401, 6, 272, 406, 6, 1918, 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 ]

[ 54458, 76501, 50660, 50301, 55597, 50728, 50289, 53201, 50452, 73291, 55856, 50454, 72619, 60130, 50457, 59752, 55856, 50796, 50796, 50457, 50755, 50337, 52720, 50459, 50755, 50332, 54270, 51601, 50755, 50328, 53201, 50418, 50755, 50327, 54171, 50444, 66682, 63667, 50454, 60792, 54228, 52478, 50755, 50327, 53055, 50428, 66682, 53838, 50439, 60792, 54211, 50452, 50755, 50320, 63510, 50796, 50444, 75885, 53697, 50453, 50728, 50292, 57771, 50454, 64013, 52025, 52177, 74935, 52988, 51236, 54088, 50427, 51236, 51252, 50431, 51236, 62551, 50903, 67458, 51236, 51820, 51236, 50942, 50449, 50903, 51365, 50453, 51170, 50984, 50460, 50903, 51824, 68111, 52177, 51170, 72640, 59308, 53801, 50422, 50728, 50294, 66595, 50903, 51738, 78739, 50987, 50433, 51170, 67446, 76054, 51748, 50457, 51889, 52462, 50796, 50439, 61344, 50361, 50413, 50728, 50292, 57771, 50440, 51236, 54146, 50445, 51236, 60979, 59308, 53486, 50450, 51236, 74022, 51236, 54896, 50903, 51737, 50461, 51236, 50812, 52478, 51236, 50897, 50424, 51236, 50897, 50431, 60028, 53486, 50432, 50903, 51524, 50433, 51170, 51051, 50440, 58061, 50361, 50412, 50446, 51170, 51365, 50448, 50903, 52167, 50456, 50728, 50291, 55086, 50457, 67581, 52011, 51236, 72666, 51166, 50461, 51236, 51319, 53069, 51236, 54351, 58113, 52441, 50903, 74525, 51889, 71133, 51236, 65599, 51383, 51693, 50428, 51236, 56080, 61759, 51447, 50436, 51170, 50987, 50441, 58563, 76395, 50728, 50287, 52783, 50442, 50903, 51212, 50448, 51170, 54004, 50755, 50320, 53306, 50455, 51170, 53597, 50606, 54088, 50903, 60078, 50903, 64224, 51236, 50862, 51809, 51236, 72250, 66682, 51269, 50419, 50903, 51192, 51236, 50921, 51889, 72656, 60792, 50834, 50716, 50277, 58878, 56919, 60312, 50933, 50428, 55540, 50827, 53587, 56552, 54269, 73418, 60028, 51376, 53546, 54299, 59651, 55233, 57307, 72619, 50828, 73291, 50809, 61344, 50836, 58113, 51051, 50716, 50277, 52923, 67195, 52444, 73291, 51470, 72619, 51006, 61344, 51006, 60028, 51079, 74935, 66377, 55548, 74508, 59360, 50716, 50277, 51051, 50442, 50755, 50320, 51254, 50446, 58113, 80246, 73291, 50809, 72619, 50836, 61344, 50836, 60028, 50987, 50903, 50897, 50455, 73291, 50827, 72619, 50844, 61344, 50844, 75885, 54529, 50755, 50299, 51233, 50903, 50942, 51601, 59308, 51174, 51383, 63180, 70874, 50862, 67058, 50862, 59752, 50880, 67581, 50955, 55233, 55759, 55023, 55139, 52628, 50716, 50287, 60342, 53587, 51210, 50423, 67058, 51051, 70874, 51254, 59752, 50987, 59308, 50933, 50424, 64013, 51006, 50716, 50287, 53970, 60629, 71093, 61057, 53546, 53450, 54269, 69118, 55540, 63444, 50755, 50301, 51363, 50716, 50289, 50955, 60312, 53756, 50830, 51236, 54075, 60028, 51174, 51270, 59051, 73291, 50836, 72619, 50836, 61344, 50809, 58113, 51142, 50716, 50289, 62156, 54880, 54772, 59797, 73291, 50844, 72619, 50844, 61344, 50942, 60028, 51079, 74935, 51351, 50716, 50289, 60623, 59904, 64206, 52510, 50755, 50320, 51174, 51170, 59787, 58113, 51051, 51383, 69008, 73291, 50809, 72619, 50809, 61344, 54139, 60028, 51006, 50903, 57071, 52485, 61344, 50854, 73291, 51051, 72619, 50955, 75885, 50933, 50903, 68063, 51270, 73562, 50755, 50299, 51411, 50716, 50287, 57277, 59532, 50809, 52177, 59308, 51254, 50421, 70874, 50862, 67058, 50836, 59752, 50880, 67581, 50955, 50716, 50287, 62156, 61221, 55507, 62588, 70874, 50912, 67058, 50844, 59752, 50827, 59308, 50844, 64013, 50897, 50716, 50287, 53948, 65303, 55658, 50755, 50301, 51048, 50716, 50277, 53948, 59093, 60028, 51051, 50716, 50277, 61221, 61868, 72619, 50836, 61344, 50809, 73291, 50812, 58113, 50933, 51170, 54905, 72619, 50827, 61344, 50827, 73291, 51142, 60028, 50901, 74935, 51189, 50903, 50977, 50442, 51170, 60812, 58401, 50972, 58280, 50972, 50755, 50320, 51363, 51170, 52555, 58113, 51142, 51236, 65415, 73291, 50809, 72619, 50836, 61344, 50854, 58401, 51142, 58280, 51142, 60028, 50838, 51236, 57459, 72619, 50827, 73291, 51210, 61344, 51210, 60828, 51376, 66296, 51376, 75885, 75478, 50897, 50799, 62762, 51006, 72353, 51006, 50755, 50299, 51267, 50418, 58401, 51174, 58280, 51174, 59308, 51174, 51889, 69280, 70874, 50836, 67058, 50836, 59752, 50812, 58085, 51254, 59776, 51254, 67581, 51194, 50716, 50287, 58972, 52923, 55507, 59953, 70874, 50912, 67058, 50912, 59752, 51142, 64013, 50917, 50716, 50287, 60623, 60629, 77716, 52167, 50431, 58401, 52441, 58280, 52441, 67471, 51255, 50716, 50285, 60623, 68066, 60028, 51172, 51889, 52167, 50439, 50660, 50304, 50862, 57447, 50809, 72619, 50800, 58113, 51174, 50716, 50285, 63088, 52923, 50385, 52272, 62859, 50660, 50304, 50851, 57447, 50827, 72619, 50933, 64657, 51006, 50716, 50285, 50955, 52428, 51698, 51365, 51383, 72615, 52179, 50447, 58061, 51172, 50660, 50304, 52378, 50716, 50280, 50955, 57657, 63054, 58678, 70570, 67058, 51737, 50455, 61344, 50851, 73291, 51210, 58085, 51376, 59776, 51376, 75885, 50836, 74935, 50809, 59308, 50809, 50716, 50280, 50836, 59877, 54897, 54647, 51270, 67238, 67058, 52167, 74935, 50827, 75885, 51142, 59308, 50933, 50716, 50280, 61221, 50897, 50903, 50897, 51809, 61344, 51006, 73291, 51283, 58085, 51254, 59776, 51254, 59877, 54351, 67058, 55197, 57587, 51210, 60609, 51210, 50903, 59768, 61344, 52192, 58108, 51210, 61962, 51210, 75885, 50836, 74935, 50836, 59308, 69573, 71093, 67161, 58061, 51376, 58085, 51376, 59776, 51376, 75885, 50912, 74935, 50827, 59308, 50851, 57657, 61040, 53998, 61404, 50844, 70874, 51051, 57587, 51254, 60609, 51254, 67749, 75688, 68412, 57447, 72666, 50380, 53047, 52179, 50440, 72619, 51051, 70874, 51006, 61404, 51006, 57587, 51174, 60609, 51174, 59455, 50818, 64013, 50809, 60028, 50809, 50716, 50282, 50836, 67749, 54784, 60836, 52597, 57447, 50941, 64013, 51210, 59455, 50933, 60028, 51051, 50716, 50282, 59904, 52923, 75956, 52179, 50448, 50716, 50277, 50942, 50449, 61344, 51806, 50660, 50301, 51679, 58108, 51679, 61962, 51679, 59877, 53948, 50977, 51170, 54859, 73291, 51737, 50903, 55144, 53268, 55233, 51142, 50457, 72619, 51174, 75885, 50809, 74935, 50809, 60028, 50836, 50716, 50277, 52923, 55023, 50987, 51170, 53793, 53587, 51210, 50461, 73291, 50864, 75885, 50827, 74935, 50854, 60028, 50933, 50716, 50277, 55998, 50897, 51236, 50854, 50799, 53546, 64982, 54269, 50851, 50416, 55540, 59834, 50755, 50301, 50981, 60312, 55816, 59109, 60028, 51470, 51236, 58405, 72619, 50809, 73291, 50800, 61344, 50800, 58401, 51254, 58280, 51254, 58113, 76524, 52765, 73291, 50851, 72619, 50827, 61344, 51252, 60028, 50972, 74935, 51003, 50430, 50903, 50942, 50433, 58401, 51709, 50434, 58280, 51709, 50755, 50320, 52718, 58113, 51174, 50903, 57434, 51862, 50442, 73291, 50809, 72619, 50836, 61344, 50812, 60028, 63675, 69775, 73291, 50827, 72619, 50854, 61344, 50844, 60828, 51470, 66296, 51470, 75885, 50942, 51889, 62911, 62762, 50933, 72353, 50933, 50755, 50299, 51411, 50716, 50287, 57277, 69821, 58401, 51254, 58280, 51254, 59308, 51254, 51170, 57434, 52167, 50458, 70874, 50812, 67058, 50812, 59752, 50800, 58085, 51174, 59776, 51174, 67581, 50838, 50716, 50287, 53351, 56880, 50897, 51170, 50880, 50799, 67058, 50827, 70874, 50933, 59752, 50933, 64013, 50897, 50716, 50287, 53970, 59719, 64647, 51365, 50418, 58401, 51447, 58280, 51447, 67471, 51212, 50716, 50285, 57277, 50897, 51236, 57466 ]

[ 0, 250, 33928, 3495, 1619, 2214, 11, 274, 538, 6, 4246, 10, 11739, 9, 13305, 6, 21979, 8669, 6, 6755, 12547, 6, 3459, 8669, 6, 8, 21979, 9590, 6, 70, 1375, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 6, 19, 10, 33215, 16739, 9, 230, 406, 6, 274, 6, 8, 163, 428, 6, 2351, 10, 15352, 30054, 8, 11653, 5466, 3820, 19, 657, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 76501, 51926, 51110, 50458, 51384, 51058, 54204, 51291, 51722, 51047, 54099, 51293, 52123, 51151, 52447, 51295, 51690, 78711, 56260, 67355, 67907, 50939, 51337, 51037, 51703, 50422, 50903, 53868, 50939, 55656, 51028, 61936, 51100, 50931, 51158, 50903, 57334, 50848, 51199, 74649, 50939, 51242, 50434, 50906, 56808, 50878, 50872, 50810, 51482, 50813, 51926, 70571, 53040, 51028, 59926, 51218, 50931, 50983, 51261, 50910, 51037, 52011, 74868, 50992, 51194, 50939, 51043, 51986, 51145, 51425, 51159, 53089, 58641, 57854, 51261, 50897, 71262, 50939, 51051, 50903, 52772, 51273, 65333, 52188, 50848, 51411, 51482, 51043, 52838, 50938, 50903, 55223, 50939, 51484, 50992, 51775, 50454, 51690, 61997, 51425, 50925, 51384, 50933, 50903, 50839, 55970, 51191, 69130, 71032, 50939, 51242, 66724, 51080, 51555, 51151, 53444, 51243, 52191, 51351, 51905, 68539, 56813, 51037, 51535, 50422, 68683, 66177, 50903, 58646, 51114, 71351, 68114, 51062, 50866, 50979, 51709, 50903, 58245, 50847, 51400, 50939, 51480, 50430, 51098, 50830, 51394, 50987, 50433, 51001, 57083, 51560, 50925, 52191, 50886, 51304, 77203, 57320, 51081, 51552, 50951, 51343, 50438, 51493, 50918, 50847, 53161, 50868, 52059, 51037, 52518, 61707, 51148, 51726, 51295, 51394, 55530, 59673, 51037, 50933, 64059, 50903, 52772, 51037, 51738, 50868, 51480, 70531, 51125, 51101, 51926, 61737, 57620, 67873, 50847, 63321, 52331, 77203, 57498, 51037, 51330, 54204, 51077, 74868, 77735, 50939, 51309, 57330, 51148, 52123, 51244, 51722, 51145, 52447, 50943, 51690, 68361, 60161, 50939, 51174, 50872, 51210, 50903, 58646, 51028, 67118, 51111, 57189, 51480, 51037, 50932, 50872, 51480, 51690, 50925, 50903, 56344, 50902, 50938, 50939, 51775, 50430, 52447, 50955, 51384, 50878, 50433, 50906, 56080, 53180, 50955, 51394, 50959, 50903, 52766, 50876, 51364, 50968, 51364, 51150, 51336, 50885, 51333, 64939, 50847, 51309, 50909, 51101, 61707, 51244, 52679, 52015, 51555, 51145, 51915, 51391, 51304, 69472, 57854, 50909, 51365, 50847, 51524, 50903, 52772, 50885, 51797, 71359, 71032, 50909, 51423, 51926, 50878, 50903, 57690, 51733, 63321, 59178, 56640, 50847, 57708, 50907, 51726, 51008, 51304, 50933, 50903, 50839, 56229, 51175, 50999, 51175, 51140, 78451, 51797, 50872, 51277, 67905, 57330, 51534, 51584, 51043, 51425, 50901, 51690, 68796, 52870, 52286, 69052, 52000, 63112, 51322, 71478, 51256, 51161, 50461, 51165, 51243, 54204, 51077, 51037, 51671, 50848, 51108, 50872, 51412, 50939, 51423, 52447, 51189, 51201, 52140, 50798, 60161, 50903, 53868, 50939, 51142, 70331, 51768, 57334, 50939, 51101, 75548, 50872, 51177, 50434, 70848, 73360, 51482, 62421, 53040, 51140, 51077, 51425, 68796, 57927, 50939, 51753, 50446, 50939, 51365, 50872, 51210, 50903, 52772, 72977, 51256, 51345, 51482, 50943, 51182, 66377, 55223, 50872, 51121, 50939, 51121, 50457, 50939, 61996, 50872, 60840, 50839, 54204, 50918, 51037, 51129, 50848, 51330, 50992, 52059, 51772, 51073, 52447, 51391, 51375, 51449, 51201, 73506, 56813, 50939, 51481, 50422, 50992, 51524, 50939, 51142, 50903, 52712, 51037, 53866, 51322, 51541, 50903, 58245, 61542, 50939, 51177, 50992, 77313, 67138, 51482, 62421, 54487, 50992, 58450, 51140, 51013, 51425, 56001, 56866, 50848, 52056, 50992, 53010, 50939, 51884, 50446, 50939, 51210, 50992, 51210, 52000, 70785, 52772, 51273, 50889, 68450, 51482, 51177, 50903, 55223, 50992, 63373, 51177, 50454, 52000, 75183, 51425, 59904, 50828, 55970, 51103, 51037, 60237, 66329, 50979, 51330, 50939, 51277, 51830, 51991, 52191, 51003, 51395, 52980, 51088, 52829, 50798, 60161, 50939, 51210, 50847, 52179, 50903, 52712, 66329, 68279, 50939, 51101, 50903, 57535, 50939, 51097, 66177, 51368, 62156, 57405, 51114, 52444, 80248, 51081, 50952, 51261, 51077, 79625, 50847, 51481, 51436, 73013, 57854, 50931, 51653, 51081, 51460, 62832, 68683, 50903, 52772, 51037, 53678, 50979, 51749, 65806, 50939, 51233, 51368, 51097, 51394, 51006, 50903, 55097, 51001, 68681, 51304, 66668, 50931, 75931, 50809, 57230, 50939, 50981, 51182, 51006, 50903, 50839, 60497, 50884, 51560, 51077, 52191, 51108, 51304, 62285, 56260, 50951, 53318, 50326, 51160, 50847, 51481, 50418, 51394, 52222, 50422, 50939, 51142, 77544, 50903, 52712, 66276, 50939, 51178, 50979, 51423, 50903, 59347, 50939, 50981, 68898, 51368, 60840, 53040, 51787, 51879, 50337, 50800, 52052, 50808, 51261, 51013, 51436, 58955, 56866, 51487, 51101, 50979, 52996, 50446, 51081, 64558, 51174, 50847, 51210, 50903, 52772, 51405, 51379, 51487, 51215, 51560, 51003, 51037, 51534, 50979, 51233, 65104, 50939, 51177, 51322, 50858, 51368, 61737, 57208, 51322, 61963, 60279, 51772, 52282, 50903, 50841, 53202, 51336, 50946, 52528, 50885, 51330, 73360, 50850, 51129, 51425, 51115, 51201, 51314, 51284, 61619, 60161, 75017, 50903, 52712, 50872, 52059, 67474, 50885, 51423, 50903, 56512, 67103, 50872, 51391, 50885, 51391, 51265, 60605, 53040, 51150, 51077, 51223, 50943, 51201, 51330, 51093, 74260, 57854, 65580, 51772, 51460, 50903, 52772, 50946, 51748, 50885, 51775, 75333, 67474, 51265, 50981, 51266, 51108, 50903, 57620, 69350, 68100, 50458, 50903, 50839, 53202, 51446, 50979, 51797, 51322, 51192, 51425, 51535, 51113, 51671, 51395, 51748, 50798, 58235, 50872, 57588, 50878, 50979, 51365, 51451, 51364, 50903, 52712, 74088, 50903, 58245, 50979, 51309, 50872, 51233, 50434, 78762, 69816, 50979, 51365, 51265, 60605, 52950, 51098, 50889, 51223, 68796, 61374, 51664, 51235, 50446, 58132, 68064, 50903, 52772, 51216, 57858, 51267, 50946, 51333, 50979, 70267, 51025, 51265, 63184, 57208, 51830, 50936, 50458, 50903, 50828, 54204, 51127, 50939, 53010, 51037, 58651, 50848, 52378, 69427, 52286, 52500, 51436, 57787, 60161, 50903, 53868, 50939, 50933, 51768, 56344, 50848, 51148, 50872, 51121, 73367, 50434, 74798, 59458, 51482, 50874, 51182, 51008, 51395, 50987, 50903, 52766, 51140, 51077, 51425, 51025, 51201, 51542, 51107, 51679, 50798, 57927, 69690, 50939, 51097, 50445, 50997, 68787, 50903, 58145, 51040, 55268, 50899, 71368, 50952, 51482, 63184, 57136, 61542, 50872, 51177, 50939, 51101, 50454, 51165, 51051, 51154, 51006, 50458, 50900, 76378, 51021, 71100, 50872, 51241, 51395, 50959, 51093, 51376, 50903, 50839, 55435, 50896, 51261, 50977, 52447, 50915, 51165, 51445, 51107, 51671, 50798, 59891, 67138, 50422, 50903, 52712, 51050, 51237, 51140, 51013, 51037, 51151, 50848, 51047, 50872, 51178, 50939, 51101, 50903, 59347, 63573, 59504, 52447, 63088, 53040, 51026, 51090, 78253, 51425, 68361, 56866, 50939, 51242, 50446, 50939, 51254, 70331, 51256, 51192, 50903, 52772, 51216, 51013, 51482, 63096, 55223, 51027, 51237, 50848, 64986, 51121, 50939, 51101, 50454, 51256, 71478, 71100, 60942, 50903, 50841, 55435, 51745, 51261, 51336, 51256, 52311, 52447, 51241, 51107, 55174, 51165, 53849, 51201, 55174, 50798, 56260, 67355, 50872, 51328, 50422, 68683, 66181, 50903, 52712, 51037, 52212, 50848, 51148, 50872, 51121, 50939, 51101, 50903, 56512, 50939, 51056, 62038, 51482, 62156, 53040, 51140, 51077, 51425, 64132, 57927, 70177, 50445, 50939, 67139, 51256, 69702, 52772, 51037, 51097, 62224, 62814, 50939, 51121, 51482, 50933, 50903, 57208, 52191, 50933, 50457, 74375, 50458, 51425, 50959, 50903, 50839, 54204, 51191, 51037, 50932, 74868, 67907, 50939, 51277, 51772, 51343, 52447, 68539, 58235, 68683, 50903 ]

[ 0, 250, 251, 6, 19448, 1619, 2125, 14, 28337, 4785, 9, 3495, 8, 15855, 930, 6, 4246, 10, 6755, 12547, 6, 1515, 21305, 6, 13305, 6, 3459, 9590, 6, 8, 21072, 4, 20, 33301, 30853, 23, 41, 1614, 1073, 1020, 20889, 11, 204, 73, 306, 86, 6, 278, 11, 5, 762, 9, 381, 538, 6, 19, 10, 33215, 16739, 9, 274, 10431, 119, 406, 6, 83, 73, 387, 6, 163, 406, 6, 8, 3676, 1176, 406, 4, 20, 1374, 6711, 16, 15352, 30054, 8, 7630, 36041, 9, 657, 6, 442, 24, 157, 12, 9228, 4560, 13, 304, 11, 3541, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 53215, 51313, 52316, 52071, 51794, 51293, 51301, 52151, 51733, 55277, 77348, 50908, 77348, 56736, 50799, 52371, 52071, 51883, 52071, 51794, 52071, 51491, 51714, 50450, 52405, 50981, 50711, 50334, 51013, 50799, 53215, 52151, 52316, 52071, 51794, 52071, 51301, 52071, 51558, 50981, 50415, 61249, 54243, 51905, 50981, 50427, 77347, 52424, 51629, 78024, 58302, 57197, 51284, 50981, 50451, 56065, 51013, 50799, 52371, 51151, 51883, 51293, 51794, 51313, 51491, 51293, 51266, 51391, 50415, 54012, 60823, 51600, 50981, 50427, 57570, 53912, 51488, 51145, 50440, 53916, 72423, 51818, 71428, 52948, 50800, 50799, 55390, 51264, 53001, 62340, 51818, 53548, 52109, 53063, 52671, 51134, 51651, 52950, 52571, 50943, 51465, 50889, 51651, 57991, 51672, 50834, 50799, 53655, 51894, 52102, 51538, 51719, 50918, 51249, 59185, 52671, 56585, 52671, 52781, 52671, 51233, 52109, 50889, 50445, 52202, 70635, 52155, 54105, 51249, 70834, 52671, 51109, 50799, 55390, 51655, 52571, 51933, 51465, 53241, 51651, 51605, 50415, 52202, 50851, 50418, 52155, 64560, 52671, 72416, 52671, 52781, 51672, 51134, 50456, 51719, 57264, 51651, 50886, 50799, 53655, 51359, 52102, 52392, 51719, 52536, 51249, 51677, 50430, 52671, 56585, 52671, 52781, 52671, 51101, 52109, 51417, 50445, 52202, 71303, 52155, 54915, 72106, 50452, 52671, 50977, 50457, 52202, 63357, 52155, 50886, 50799, 57081, 51307, 52326, 51991, 51410, 51605, 51719, 76971, 51596, 51253, 50438, 51249, 76630, 51719, 51346, 50456, 52326, 50933, 50799, 66165, 50802, 52326, 51518, 51410, 51486, 51719, 51538, 50420, 66165, 52528, 50431, 51596, 59992, 51596, 62293, 51596, 55040, 52671, 57012, 52202, 54086, 51249, 66794, 51596, 53820, 52671, 54421, 52202, 50813, 50799, 55390, 51036, 52102, 51091, 51465, 51685, 51651, 75189, 51789, 58861, 51789, 53803, 52109, 55214, 52102, 51238, 50444, 51465, 55149, 51719, 64620, 51651, 50795, 50799, 56698, 51103, 51410, 51141, 51303, 50918, 51651, 51291, 51672, 51472, 50430, 52671, 56585, 52671, 53894, 52671, 50955, 66165, 51535, 52326, 51016, 51410, 50807, 51719, 50889, 50442, 52202, 63178, 52155, 61230, 51789, 79308, 51249, 52643, 51019, 57651, 51213, 50854, 53534, 51894, 55390, 51264, 53001, 62340, 51818, 53548, 52109, 53063, 52671, 51056, 51651, 52950, 52571, 50943, 51465, 50889, 51651, 57991, 51672, 52920, 51069, 50925, 52288, 51714, 53655, 51894, 52102, 51538, 51719, 50918, 51249, 59185, 52671, 54350, 52671, 52781, 52671, 50878, 52109, 55480, 52202, 56112, 52155, 54105, 51249, 63653, 52671, 54194, 52202, 50813, 50927, 58223, 52155, 50904, 51019, 50874, 53534, 51714, 55390, 51655, 52571, 51933, 51465, 53241, 51651, 51605, 50416, 52671, 69596, 52671, 54077, 51672, 51134, 50456, 51069, 50942, 51719, 57264, 51651, 50886, 52288, 51714, 53655, 51359, 52102, 52392, 51719, 52536, 51249, 51677, 50429, 52671, 64458, 52671, 58572, 52671, 55467, 52109, 51417, 50443, 52671, 60886, 52202, 59433, 52155, 54185, 51249, 58031, 52671, 54424, 50927, 59697, 52202, 57651, 51228, 61764, 52155, 50867, 54798, 51293, 57081, 51307, 52326, 51991, 51410, 51605, 51719, 76971, 51596, 71266, 52202, 52781, 51249, 76630, 51719, 51346, 50456, 52326, 50933, 53400, 52069, 66165, 50802, 52326, 51518, 51410, 51486, 51719, 51538, 50420, 66165, 52528, 50431, 51596, 56579, 51596, 54077, 51596, 50955, 50443, 52671, 56112, 52202, 54105, 51249, 66794, 51596, 59631, 52671, 50862, 51019, 56054, 51213, 50822, 53534, 52151, 55390, 51036, 52102, 51091, 51465, 51685, 51651, 59047, 51789, 53910, 51789, 58193, 52109, 55214, 52102, 51238, 50444, 51465, 55149, 51719, 64620, 51651, 51923, 51011, 50857, 54798, 51183, 57081, 51103, 51410, 51141, 51303, 50918, 51651, 51291, 51672, 51472, 56903, 51141, 66165, 51535, 52326, 51016, 51410, 50807, 51719, 55082, 51249, 52643, 67110, 50459, 74901, 53534, 51933, 52830, 51307, 55390, 51353, 52102, 51241, 51465, 51141, 51651, 51310, 51672, 51241, 52537, 51293, 51847, 51151, 51232, 51353, 51512, 51449, 51429, 51353, 50801, 52437, 50843, 56657, 51789, 51400, 50432, 52102, 69876, 51465, 53415, 51719, 61032, 51651, 52616, 51672, 53641, 51818, 52555, 52948, 55250, 55647, 53001, 52485, 66381, 55386, 53971, 50846, 52288, 51991, 53148, 51103, 52176, 51318, 51198, 51109, 51494, 50914, 51119, 51189, 51777, 70812, 53150, 51198, 51477, 50843, 52925, 51789, 50813, 52176, 51145, 51494, 51191, 51119, 51310, 51777, 51351, 50435, 51789, 52950, 51883, 73125, 51789, 55945, 51198, 51542, 50447, 51596, 52800, 52671, 50813, 51794, 50914, 51777, 56230, 55647, 71107, 50454, 51789, 73575, 50927, 50854, 51494, 55236, 54359, 51019, 50862, 52176, 50874, 53534, 51486, 52065, 50914, 52537, 51191, 51847, 51159, 51232, 51623, 51512, 51486, 51429, 51486, 50801, 57705, 51596, 63630, 52671, 66118, 51789, 55035, 52830, 51486, 51847, 51542, 50843, 52667, 52537, 51244, 50433, 51789, 52616, 51847, 51172, 50447, 51232, 54980, 51512, 77776, 55647, 51429, 59132, 51069, 50812, 51847, 62064, 54991, 52537, 50886, 52288, 51692, 53148, 51103, 52176, 51134, 51198, 51025, 51494, 51189, 51119, 51518, 51777, 51692, 50801, 53150, 51198, 51419, 50843, 59483, 51789, 54215, 52176, 51183, 51494, 51417, 50435, 51789, 52781, 51883, 50889, 50439, 51789, 53999, 51198, 51679, 50446, 51596, 61495, 52671, 54105, 50927, 50854, 51491, 50914, 51777, 64918, 55079, 51789, 50942, 51019, 50854, 51119, 66947, 51228, 50857, 51494, 59597, 58472, 51596, 57651, 50927, 50854, 52176, 63729, 52671, 50836, 54798, 51894, 51301, 51486, 52649, 51945, 51198, 51124, 51494, 50807, 51119, 58307, 54639, 51686, 66010, 52202, 50977, 51198, 54640, 52417, 51708, 51417, 51198, 51134, 51494, 73779, 51119, 51642, 50450, 51491, 50889, 51494, 51221, 50843, 55647, 51198, 53920, 51205, 50910, 51708, 56525, 54943, 51198, 50908, 53400, 52392, 51113, 51518, 58001, 51307, 51708, 51221, 51198, 51623, 51494, 51161, 51119, 51538, 50801, 53150, 51708, 51363, 50843, 52925, 52083, 50813, 52533, 51047, 50435, 52083, 63025, 52083, 63634, 52083, 50855, 51708, 52378, 50447, 51198, 51330, 50448, 51789, 53886, 51357, 50943, 51494, 51412, 50843, 56688, 51596, 57168, 63439, 50454, 52083, 68429, 51019, 50833, 51708, 53097, 54359, 51213, 50836, 52533, 50971, 53285, 51991, 51488, 51538, 52537, 50914, 51847, 51124, 51232, 50983, 51512, 51141, 51429, 63524, 55893, 51789, 52710, 51847, 51419, 50843, 56670, 51686, 52749, 51686, 51377, 52537, 51148, 51232, 51562, 51512, 51637, 51429, 73779, 51847, 75589, 51357, 50943, 51429, 63342, 55647, 51512, 55345, 51069, 50859, 51232, 53530, 54991, 52537, 50904, 52288, 51933, 51113, 51077, 52176, 51241, 51847, 51204, 51198, 51204, 51494, 51204, 51119, 67839, 53150, 50843, 55739, 56387, 53196, 56387, 51591, 51847, 72687, 51295, 51494, 51413, 51119, 64345, 51491, 71158, 52176, 51381, 50804, 54131, 53595, 51489, 51363, 50843, 65163, 56782, 51777, 51101, 51224, 53268, 70490, 51429, 59250, 61852, 54943, 78683, 53534, 52536, 51301, 51307, 52537, 51003, 51847, 51221, 51232, 51191, 51512, 51422, 52120, 66999, 60740, 52992, 51847, 51419, 61394, 54883, 52537, 53063, 51789, 51159, 52537, 51127, 51232, 51562, 51429, 51241, 54643, 50839, 63664, 53044, 51847, 52256, 59056, 51429, 51221, 54001, 54859, 51512, 66947, 75740, 51232, 50897, 74268, 52537, 50854, 52288, 51991, 52176, 51134, 51198, 51591 ]

[ 0, 250, 15352, 30054, 3495, 2214, 19, 15855, 16882, 6, 278, 11, 5, 762, 9, 274, 538, 8, 10, 204, 73, 306, 86, 6543, 6, 7630, 14805, 10, 19448, 8, 3722, 5466, 20455, 9, 10, 822, 19834, 4, 20, 7212, 20889, 9, 5962, 13410, 228, 2289, 2386, 5, 2125, 7, 21815, 18399, 6, 19, 10, 33215, 16739, 4246, 272, 119, 6, 1918, 6, 8, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50906, 56329, 50902, 55586, 65882, 68303, 53492, 54146, 51234, 54088, 50899, 56869, 71626, 51862, 50435, 51120, 64240, 50297, 57070, 50441, 50871, 50978, 50449, 51799, 59170, 50876, 51253, 50871, 65988, 51120, 60326, 50900, 52996, 51809, 50906, 52019, 50302, 51199, 52759, 54228, 51360, 55036, 50309, 54521, 50431, 50956, 55765, 72689, 50997, 51738, 58783, 58090, 51085, 56308, 52206, 75222, 78933, 52136, 50447, 51027, 53161, 50956, 64399, 50871, 51737, 50461, 50965, 51965, 51176, 59170, 51050, 62609, 50956, 68886, 50871, 69066, 54734, 57912, 50429, 51027, 56393, 50307, 69066, 50430, 50877, 52059, 50871, 53313, 50444, 50931, 51637, 50445, 50871, 51806, 50965, 55036, 50316, 53674, 50446, 51799, 59294, 50294, 59821, 50459, 50900, 52059, 51176, 55789, 53069, 50965, 50978, 50427, 50931, 51178, 50965, 56615, 50871, 52056, 50876, 54298, 51120, 54228, 50428, 51799, 62609, 50441, 50968, 51178, 50442, 50916, 51753, 50965, 52063, 50876, 51961, 50455, 51001, 51380, 50456, 50956, 52996, 50861, 54298, 50973, 54861, 55774, 56563, 51214, 53055, 57731, 50902, 51884, 50973, 54848, 50899, 55584, 50871, 55789, 50438, 50973, 52011, 50439, 51086, 54344, 51085, 57912, 50861, 69066, 52206, 62609, 50956, 69895, 50455, 50876, 52482, 50900, 54126, 50307, 57826, 72786, 52946, 55753, 50951, 51047, 50422, 51197, 54861, 50861, 51314, 51001, 52147, 52046, 56393, 50314, 55812, 50436, 50956, 54126, 50302, 51737, 50437, 50900, 52462, 50451, 50999, 51183, 50452, 51197, 52059, 50877, 51314, 52046, 51884, 50876, 54532, 50931, 52263, 52591, 68274, 50421, 51027, 54126, 50307, 54088, 63686, 60968, 50951, 58532, 51961, 50436, 50902, 53697, 51799, 55584, 51120, 56615, 50906, 56615, 50452, 50931, 58520, 52063, 50902, 57800, 50306, 51862, 50997, 60754, 50906, 54088, 51050, 54071, 52478, 50877, 51109, 51027, 52188, 50871, 53161, 51120, 62609, 50419, 51799, 56308, 50899, 58961, 50431, 50906, 51534, 71288, 60318, 54848, 50871, 54298, 50443, 52206, 53726, 50446, 50902, 51680, 50447, 50916, 52431, 51085, 52063, 50448, 50906, 56308, 50461, 50997, 51542, 53997, 61653, 50419, 50861, 50981, 50428, 50877, 51391, 51027, 51961, 50442, 50906, 51637, 50443, 51026, 58090, 50916, 61450, 50861, 69895, 50458, 50902, 55086, 50459, 50871, 58898, 51247, 58961, 50877, 55812, 51050, 69066, 55746, 50956, 56308, 50427, 51050, 63510, 50443, 50876, 53801, 57428, 50359, 50399, 50445, 50877, 50359, 50398, 51809, 51028, 58556, 50307, 50359, 50399, 74850, 54691, 50418, 51050, 52462, 50419, 50877, 63069, 50430, 50997, 53486, 50434, 50871, 56308, 50440, 50902, 52980, 50445, 50931, 72887, 51081, 60754, 51146, 59593, 51339, 55397, 51339, 50904, 51601, 51339, 63749, 67558, 50419, 51339, 58115, 50899, 60243, 51487, 53991, 50871, 54521, 50424, 50876, 51709, 51339, 51297, 50425, 51487, 70898, 51339, 71729, 51487, 66059, 51339, 58467, 51487, 57869, 51339, 68210, 51487, 57514, 51040, 79675, 51797, 50438, 51339, 51297, 50439, 50906, 51534, 51487, 64100, 51339, 51128, 50443, 51487, 60822, 51339, 51297, 50446, 51487, 65807, 51339, 51550, 50449, 51487, 54185, 50900, 50363, 50410, 50451, 50956, 58651, 50453, 50871, 58651, 50455, 50906, 50932, 50460, 50931, 51524, 51809, 50999, 77678, 51405, 51319, 50422, 51339, 53109, 50877, 50932, 50425, 51339, 61036, 51339, 52767, 51339, 55643, 51487, 59051, 50965, 51477, 50437, 51339, 52742, 51487, 66116, 51339, 69157, 51487, 60862, 51339, 61794, 51487, 54914, 51339, 60062, 51487, 69232, 51339, 55097, 51487, 77112, 51484, 50455, 51339, 55293, 51487, 62298, 51339, 61824, 51487, 50941, 68818, 51022, 50416, 50899, 51174, 50419, 50965, 72599, 50931, 51047, 50433, 51147, 51051, 50437, 51062, 50955, 50441, 51146, 51123, 50443, 51339, 56892, 51339, 54004, 51339, 71300, 52015, 50453, 51339, 54319, 51487, 57023, 51339, 79163, 51419, 50461, 51487, 50886, 51601, 51339, 56166, 51487, 64159, 51339, 56856, 51339, 59768, 51487, 60931, 51339, 52670, 50968, 51025, 50427, 51487, 64755, 51339, 51126, 50433, 51430, 61284, 51339, 64000, 52980, 57267, 53486, 50439, 50973, 54829, 50441, 51001, 51419, 50444, 50951, 51376, 50447, 51220, 60333, 51405, 51365, 50454, 51487, 62107, 50902, 51466, 50459, 51487, 51128, 51601, 51487, 51000, 50419, 51487, 68684, 50956, 56329, 50423, 52128, 60548, 50861, 54829, 50425, 50973, 51878, 50426, 51487, 51319, 50428, 52128, 51297, 50430, 51487, 51319, 50431, 52128, 70301, 51487, 59068, 52128, 65219, 51487, 56819, 52128, 65246, 51487, 60362, 52128, 51297, 50445, 50876, 51432, 50446, 51487, 55686, 52128, 62849, 51487, 60258, 52128, 51128, 50453, 51487, 51128, 50454, 52128, 51297, 51809, 52046, 63532, 51197, 63532, 73290, 58468, 50931, 66495, 50861, 51697, 50428, 50876, 51128, 50430, 51001, 75116, 50956, 63801, 50997, 51022, 50900, 61389, 51001, 52179, 50441, 50876, 51254, 50445, 50861, 62749, 50999, 51397, 52046, 52167, 50449, 51197, 52782, 50452, 70741, 75152, 51524, 50459, 51001, 51128, 51601, 63227, 50956, 51832, 50416, 50900, 52134, 50419, 51001, 52167, 68225, 51824, 56207, 58832, 50951, 51480, 51799, 59977, 50294, 54861, 50433, 50861, 51022, 50436, 50906, 54618, 50439, 50902, 52782, 50445, 50931, 51775, 50899, 54088, 50446, 51050, 50360, 50842, 50302, 51022, 50449, 50871, 51550, 50452, 50906, 51297, 50455, 50902, 78584, 50877, 51411, 51799, 56308, 51120, 62609, 52177, 51027, 51128, 54569, 62021, 50871, 57252, 72535, 50430, 50997, 53998, 50899, 79106, 50871, 52134, 50441, 51001, 51803, 50442, 51085, 63684, 50280, 52179, 50445, 50956, 51862, 56222, 51252, 50454, 50876, 51319, 50458, 50951, 50908, 53069, 50861, 51852, 78740, 51432, 50430, 51247, 52946, 51050, 53306, 50435, 50956, 51851, 50440, 70795, 50445, 50877, 60258, 50931, 51297, 51601, 50902, 52731, 50429, 50906, 52482, 50430, 51234, 58483, 50899, 61450, 51050, 58961, 74206, 51297, 50441, 50906, 51252, 50445, 51001, 54146, 50449, 50902, 51252, 50997, 57598, 56415, 54088, 50451, 50899, 52462, 50453, 50951, 62662, 50931, 51297, 50461, 51062, 50971, 53069, 51081, 50982, 50906, 59519, 54569, 59519, 50871, 68334, 50421, 51062, 66806, 51081, 75583, 51062, 51000, 50427, 51081, 52782, 50428, 51062, 54854, 51062, 71372, 51081, 51128, 50436, 51062, 79743, 51081, 51128, 50443, 50999, 52514, 50447, 51081, 54344, 50459, 52052, 61211, 61627, 51214, 59170, 67655, 52519, 50447, 51026, 55002, 50456, 50997, 74695, 51851, 52177, 50877, 51277, 51027, 52731, 50424, 67695, 50997, 50955, 50899, 51297, 78630, 52134, 50429, 51085, 54861, 50430, 50876, 51233, 56014, 52188, 50437, 50956, 54731, 50311, 62971, 50902, 55103, 50899, 65397, 50956, 51022, 51001, 50974, 56222, 78454, 51120, 54211, 50456, 50902, 51542, 50457, 50899, 52441, 51601, 50989, 51550, 50416, 50877, 51297, 50422, 50877, 51129, 50989, 52462, 50430, 64304, 50431, 50899, 63684, 50310, 52101, 50900, 52782, 63174, 54060, 63808, 54848, 50439, 50899, 65748, 50997, 52063, 50861, 59821, 50446, 51027, 51697, 50447, 50877, 61634, 50861, 51884, 51026, 51737, 50456, 50997, 51123, 50899, 57070, 51809, 51197, 51824, 50422, 50951, 51542, 50423, 50861, 53161, 50429, 51001, 77429, 50314, 70709, 50999, 50959, 50436, 50877, 74034, 51081, 50955, 50906, 51376, 50443, 51001, 54731, 50323, 65397, 50999, 51775, 50877, 52378, 50455, 51001, 51269, 50876, 51022, 50461, 50951, 51419, 54594, 51961, 50419 ]

[ 0, 250, 15352, 30054, 11057, 1011, 625, 19, 10, 1619, 16464, 6, 4246, 10, 13305, 816, 5, 483, 33301, 6, 7513, 30, 41, 21979, 9590, 8, 21072, 4, 20, 2214, 16, 11, 5, 762, 9, 230, 538, 6, 34, 10, 204, 73, 306, 86, 6543, 6, 8, 11498, 41, 12447, 1001, 20889, 1328, 63, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56236, 51150, 51330, 50801, 54088, 54407, 51206, 56183, 50878, 50415, 50916, 51939, 50876, 51077, 51062, 51161, 50877, 51677, 50997, 51592, 50899, 52431, 50426, 51098, 51108, 75944, 50878, 56321, 54088, 50856, 55467, 51150, 51097, 54407, 50856, 56060, 51668, 62771, 52675, 61965, 50878, 62190, 52167, 50856, 50878, 54204, 51199, 50801, 54088, 54407, 50856, 50878, 63686, 50912, 50861, 74265, 77875, 50855, 53327, 51210, 51176, 52917, 51140, 51097, 75944, 68486, 75490, 50956, 59833, 50900, 65379, 50837, 51176, 63795, 50951, 55643, 50801, 54088, 50856, 74029, 50900, 52059, 79270, 51081, 51162, 50899, 51642, 68958, 51534, 54407, 50856, 50878, 51176, 51481, 50446, 51140, 51022, 50449, 51176, 50844, 75716, 58222, 61335, 51146, 63112, 51668, 66377, 52873, 61965, 61997, 51062, 52392, 71698, 58470, 50878, 50997, 51145, 50899, 51244, 72734, 53788, 50932, 54407, 50856, 50878, 60729, 55440, 51098, 51806, 75944, 50878, 56321, 54088, 50437, 50899, 51878, 57385, 51108, 54407, 50856, 50878, 50916, 51535, 50877, 51477, 50997, 52263, 50450, 51668, 63184, 52873, 61965, 50878, 54204, 51380, 50801, 54088, 54407, 50856, 60988, 51146, 76149, 66411, 50984, 50861, 69156, 51176, 54953, 51140, 51108, 75944, 68486, 51146, 66113, 50956, 61549, 53998, 51176, 54191, 50304, 51319, 50434, 51062, 50941, 56321, 54088, 50856, 55467, 51261, 51806, 54407, 50856, 50878, 51146, 51267, 50900, 51484, 50861, 51534, 50899, 51576, 51176, 51423, 50449, 51339, 51238, 50899, 55514, 51668, 63184, 52873, 61965, 50878, 73630, 62958, 51176, 50955, 62190, 52167, 50856, 50878, 51430, 51036, 71578, 50899, 51080, 67663, 50460, 50997, 51148, 53788, 51097, 54407, 50856, 50878, 60729, 55440, 51098, 51097, 75944, 50878, 56321, 54088, 57385, 51645, 54407, 50856, 50878, 50899, 53280, 50916, 51477, 50877, 51318, 50997, 52263, 50446, 51140, 54823, 51668, 61701, 52675, 61965, 50878, 54204, 51108, 54407, 50856, 60988, 50801, 51210, 51062, 50809, 51339, 69811, 73476, 71807, 61549, 59094, 51176, 52966, 51140, 51330, 75944, 50878, 50861, 77081, 57643, 53130, 50333, 50866, 77095, 52104, 50300, 51962, 50328, 60465, 51261, 52397, 54407, 50856, 50878, 50861, 52104, 50333, 50866, 50439, 50900, 53186, 50321, 50933, 51081, 51008, 50899, 52216, 50300, 51254, 60350, 78263, 55620, 51705, 62771, 52873, 61965, 77836, 51176, 50874, 51814, 50938, 50452, 51399, 66407, 50984, 76604, 50899, 51123, 50861, 52192, 50453, 51146, 51365, 62190, 52167, 50461, 51399, 50874, 50997, 54211, 51487, 51419, 50951, 51961, 50899, 52256, 50871, 52256, 50877, 56374, 53458, 51108, 50801, 54088, 54407, 50856, 50878, 50416, 51146, 76370, 51216, 50981, 75944, 50878, 56321, 54088, 50856, 55467, 51261, 50981, 54407, 50856, 50878, 50439, 77556, 65997, 50440, 51378, 75365, 57904, 51026, 74810, 51176, 54086, 51668, 61737, 52873, 61965, 77836, 50956, 58722, 51481, 50452, 50989, 52363, 50301, 53010, 62190, 52167, 50856, 50878, 77555, 50460, 66398, 51026, 66412, 51753, 53788, 51411, 50801, 54088, 54407, 50856, 63980, 51098, 56237, 66359, 50876, 52363, 50310, 51337, 50424, 51027, 60324, 51461, 51391, 75944, 50878, 55481, 54088, 50856, 50878, 50871, 54378, 50997, 50907, 50902, 51008, 50877, 54123, 51273, 50995, 54407, 50856, 62928, 51224, 51210, 50916, 51110, 50968, 55761, 75640, 51028, 51731, 50302, 51221, 50951, 54208, 51493, 66377, 52873, 61965, 50878, 66310, 51028, 52363, 50323, 51058, 54124, 51862, 50856, 74651, 50861, 51753, 53202, 62093, 54088, 54407, 51206, 51365, 50876, 52104, 50319, 58114, 51148, 50899, 52063, 51027, 53010, 50416, 50968, 51174, 53951, 52167, 50426, 51461, 51351, 50804, 52167, 75944, 50878, 55481, 54088, 50856, 60157, 69271, 77559, 70253, 50997, 54584, 51140, 50932, 54407, 50856, 50878, 50931, 51194, 50446, 51224, 54088, 50447, 50968, 53140, 51461, 61701, 54218, 56373, 75944, 50878, 55350, 54146, 57268, 52167, 50856, 50878, 50876, 51803, 50461, 79182, 72251, 50899, 51210, 53202, 50932, 54407, 50856, 50878, 51027, 51210, 60729, 55440, 51461, 50981, 75944, 50878, 56321, 54088, 70088, 72534, 64444, 50436, 51027, 56006, 51140, 50995, 54407, 50856, 50878, 50439, 50968, 53562, 51668, 51056, 50903, 52873, 61965, 50878, 50931, 50893, 54204, 60981, 54088, 54407, 50856, 50878, 50415, 50951, 51472, 53327, 64586, 51140, 50981, 75944, 50878, 56321, 54088, 50856, 50878, 50956, 63893, 52666, 50300, 50827, 50900, 55666, 51261, 50995, 54407, 50856, 50878, 50931, 51255, 50448, 50968, 54004, 51140, 51097, 50903, 52873, 61965, 61997, 50876, 51680, 58470, 50878, 54204, 51253, 54407, 50856, 50878, 50899, 51210, 50900, 55505, 50311, 51210, 51176, 51008, 60729, 55440, 51140, 50915, 75944, 50878, 56321, 54088, 50436, 75716, 50899, 64007, 50851, 51176, 54123, 51261, 51312, 54407, 50856, 50878, 50968, 51112, 50446, 51522, 56317, 50876, 60801, 51984, 63184, 52873, 61965, 77836, 73955, 60653, 61725, 54088, 54407, 50856, 50878, 51028, 51141, 50989, 51218, 50965, 51241, 50931, 51218, 51147, 51091, 51040, 51310, 50906, 51295, 53327, 64586, 51216, 50995, 75944, 50878, 56321, 54088, 50856, 55467, 51522, 51380, 54407, 50856, 66092, 51114, 50859, 50989, 59433, 50871, 78271, 51930, 58028, 52675, 61965, 50878, 50931, 51212, 58470, 50878, 51028, 76268, 50864, 60294, 51253, 50801, 54088, 54407, 50856, 63980, 75729, 72814, 50931, 60988, 70688, 50871, 57499, 52318, 51056, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 50899, 57481, 51273, 51380, 54407, 50856, 50878, 51028, 78067, 51753, 50968, 52363, 50312, 70381, 50916, 51376, 50448, 51040, 54626, 51098, 71547, 52873, 61965, 77836, 50899, 51862, 79507, 50902, 77429, 50312, 51210, 50871, 52782, 62190, 52167, 50856, 50878, 50876, 51353, 53788, 68108, 54088, 54407, 50856, 55440, 51098, 50915, 75944, 50878, 56321, 54088, 50856, 55467, 51150, 50915, 54407, 50856, 50878, 50439, 77925, 67514, 70138, 50440, 51086, 58271, 52078, 51447, 50903, 52873, 61965, 50878, 62190, 52167, 50856, 50878, 50956, 51142, 68274, 50906, 51365, 51086, 51254, 60294, 70013, 54088, 54407, 50856, 55440, 51522, 51312, 75944, 50878, 55481, 54088, 50856, 60157, 58529, 51086, 51008, 50956, 55467, 51868, 50943, 54407, 50856, 50878, 50906, 51033, 50442, 50876, 53783, 69195, 50446, 51224, 51210, 50447, 50861, 54823, 51668, 63184, 52873, 61965, 50878, 50906, 51400, 54124, 51862, 50856, 65264, 50876, 51077, 53788, 68108, 54088, 54407, 51206, 59121, 50878, 50415, 57810, 50899, 51210, 65471, 50997, 54088, 50426, 51098, 51333, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 70088, 57472, 69271, 50997, 54584, 51150, 50932, 54407, 50856, 50878, 50439, 50906, 51238, 50448, 50861, 73792, 51668, 61701, 52675, 61965, 77836, 50906, 51377, 62190, 52167, 50856, 50878, 50902, 51675, 54204, 68108, 54088, 54407, 50856, 50878, 50899, 51142, 50900, 51365, 63207, 50415, 51176, 57818, 51140, 50915, 75944, 50878, 56321, 54088, 50856, 50878, 50436, 50861, 67843, 50851, 50899, 51604, 50300, 52781, 51493, 50932, 54407, 50856, 50878, 50440, 50906, 50901, 50448, 50861, 60678, 51522, 63184, 52873, 61965, 77836, 50906, 51043, 62190, 52167, 50856, 50878, 50965, 61780, 51040, 71414, 70455, 50810, 70806, 54389, 51373, 57075, 63980, 51216, 54252, 50856, 50878, 50424, 50916, 51233, 50965, 51178, 51028, 51194, 51027, 55640, 52318, 50995, 75944, 50878, 56321, 54088, 50437, 51176, 55379 ]

[ 0, 250, 19448, 8, 5679, 26709, 15855, 2125, 13, 21979, 8669, 6, 278, 11, 83, 3694, 19, 10, 2635, 226, 22740, 20889, 8, 132, 73, 306, 86, 6543, 4, 20, 15229, 1575, 10, 33215, 16739, 9, 230, 6, 3676, 6, 381, 406, 6, 1918, 6, 8, 381, 6, 2351, 10, 32625, 8, 11653, 5466, 11, 42, 765, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51057, 50621, 59364, 50415, 60266, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 51057, 59364, 50415, 51131, 50936, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 50437, 51317, 50883, 51057, 59364, 50960, 56191, 50998, 53113, 50970, 54007, 50929, 52422, 59364, 50947, 55104, 51064, 61426, 51032, 59185, 51064, 53695, 50947, 53660, 65611, 51057, 65009, 56406, 50415, 51316, 50936, 50419, 51316, 53336, 51788, 52247, 52012, 55224, 68433, 56406, 55784, 51057, 65009, 50415, 56488, 50998, 50936, 50416, 51292, 60647, 51292, 63447, 65009, 67911, 50998, 55104, 51067, 52686, 51032, 53660, 70442, 51057, 65009, 67911, 62049, 50415, 51032, 59630, 51067, 53113, 51032, 54007, 51076, 52422, 65009, 51032, 59485, 51067, 61146, 50986, 50936, 50998, 50936, 51032, 56865, 51076, 52686, 50947, 53660, 70442, 51057, 79655, 51846, 50896, 56479, 56406, 51076, 52774, 56406, 51076, 63447, 79655, 51846, 50896, 56479, 50429, 51064, 52686, 51076, 53660, 51316, 50821, 51057, 65009, 68433, 50415, 56406, 50947, 60647, 70601, 58308, 50947, 53765, 52012, 55224, 68433, 50433, 56406, 50947, 50936, 51057, 50621, 59364, 50415, 60266, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 51057, 59364, 50415, 51131, 50936, 50960, 50936, 50416, 50970, 50936, 50947, 50921, 57761, 52247, 59364, 50960, 55104, 50998, 52686, 50970, 65109, 50929, 56720, 50970, 55310, 62049, 50437, 51317, 50883, 51057, 59364, 50960, 56191, 50998, 53113, 50970, 54007, 50929, 52422, 59364, 50947, 55104, 51064, 61426, 51032, 59185, 51064, 53695, 50947, 53660, 65611, 51057, 65009, 56406, 50415, 51316, 50936, 50419, 51316, 53336, 51788, 52247, 52012, 55224, 68433, 56406, 55784, 51057, 65009, 50415, 56488, 50998, 50936, 50416, 51292, 60647, 51292, 63447, 65009, 67911, 50998, 55104, 51067, 52686, 51032, 53660, 70442, 51057, 65009, 67911, 62049, 50415, 51032, 59630, 51067, 53113, 51032, 54007, 51076, 52422, 65009, 51032, 59485, 51067, 61146, 50986, 50936, 50998, 50936, 51032, 56865, 51076, 52686, 50947, 53660, 70442, 51057, 79655, 51846, 50896, 56479, 56406, 51076, 52774, 56406, 51076, 63447, 79655, 51846, 50896, 56479, 50429, 51064, 52686, 51076, 53660, 51316, 50821, 51057, 65009, 68433, 50415, 56406, 50947, 60647, 70601, 58308, 50947, 53765, 52012, 55224, 68433, 50433, 56406, 50947, 50936, 51057, 50621, 62867, 50415, 61446, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 50427, 61446, 79186, 50429, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 51317, 53113, 50960, 54007, 50998, 52422, 59364, 50970, 59485, 50929, 61146, 50970, 56865, 50998, 52686, 50970, 53660, 60405, 51057, 65009, 50415, 79655, 51131, 50936, 50416, 51317, 50936, 50998, 59723, 68433, 56406, 75563, 65009, 50427, 79655, 51131, 50936, 50428, 51317, 50936, 50998, 75101, 60405, 50431, 51316, 52975, 51788, 50806, 51057, 62867, 50415, 60266, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 51131, 63220, 50986, 57850, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 50998, 53113, 50970, 54007, 50929, 52422, 65009, 50970, 59485, 50929, 61146, 50970, 56865, 50621, 50998, 54053, 50621, 50960, 53660, 50620, 51317, 62256, 51317, 50883, 51057, 50620, 51444, 51274, 50960, 50936, 50419, 50970, 53336, 51067, 50936, 50425, 51317, 53087, 50960, 51055, 50432, 62318, 51057, 50621, 62867, 50415, 61446, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 50427, 61446, 79186, 50429, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 51317, 53113, 50960, 54007, 50998, 52422, 59364, 50970, 59485, 50929, 61146, 50970, 56865, 50998, 52686, 50970, 53660, 60405, 51057, 65009, 50415, 79655, 51131, 50936, 50416, 51317, 50936, 50998, 59723, 68433, 56406, 75563, 65009, 50427, 79655, 51131, 50936, 50428, 51317, 50936, 50998, 75101, 60405, 50431, 51316, 52975, 51788, 50806, 51057, 62867, 50415, 60266, 50986, 50936, 50416, 50970, 50936, 50947, 59723, 56488, 57566, 50947, 63447, 62867, 51131, 63220, 50986, 57850, 50929, 52686, 51064, 53660, 60405, 51057, 79655, 56488, 50415, 50929, 52774, 51032, 53765, 52012, 55224, 59077, 68433, 51057, 59364, 50960, 56868, 50998, 65334, 50960, 58160, 50998, 53113, 50970, 54007, 50929, 52422, 65009, 50970, 59485, 50929, 61146, 50970, 56865, 50621, 50998, 54053, 50621, 50960, 53660, 50620, 51317, 62256, 51317, 50883, 51057, 50620, 51444, 51274, 50960, 50936, 50419, 50970, 53336, 58870, 50425, 51317, 53087, 50960, 55224, 62318, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 15352, 30054, 8, 12298, 5175, 8, 15855, 1619, 2214, 11, 274, 538, 6, 4246, 13305, 6, 18558, 6, 17035, 873, 2401, 6, 38668, 22052, 6, 8, 32909, 4, 20, 2125, 11498, 10, 5204, 204, 73, 306, 86, 6543, 8, 41, 178, 5285, 20889, 9, 1812, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 163, 428, 6, 274, 6, 230, 6, 163, 428, 6, 230, 8165, 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 ]

[ 57448, 50799, 52060, 50373, 56448, 50373, 54936, 50373, 54936, 59834, 52060, 50372, 56448, 50372, 54936, 50373, 54936, 55470, 51553, 50373, 54936, 50373, 56448, 50373, 56448, 56789, 51456, 50369, 52388, 63738, 63738, 53670, 51456, 50373, 53823, 50373, 54936, 50373, 54936, 59380, 51456, 50373, 53823, 50373, 54936, 50373, 54936, 61285, 51224, 62843, 65279, 65279, 53528, 51224, 69415, 50369, 52388, 67744, 52763, 51224, 62843, 65279, 65279, 54781, 51224, 72128, 50373, 53823, 50372, 53823, 55735, 51224, 72128, 50373, 53823, 50373, 53823, 56551, 51224, 50374, 53120, 50374, 53823, 50374, 53823, 50886, 53596, 51294, 54099, 51535, 52123, 51535, 51783, 51535, 51722, 51535, 51612, 51535, 52547, 50827, 55803, 54352, 75327, 67943, 52471, 51550, 56141, 67735, 52547, 51128, 55803, 51128, 56644, 50423, 52471, 51550, 56141, 65437, 52547, 51126, 55803, 53529, 50338, 51592, 50903, 53021, 65005, 52471, 51252, 56141, 51252, 50431, 52547, 51128, 55803, 57378, 51096, 52098, 50333, 53588, 50801, 51079, 56644, 50434, 52471, 51123, 56141, 51123, 50437, 52547, 51123, 55803, 58604, 51096, 51204, 51146, 52528, 76677, 50905, 50440, 52471, 50984, 56141, 50984, 50442, 52547, 51126, 55803, 60825, 51081, 53866, 76677, 50972, 50445, 52471, 50984, 56141, 50984, 50448, 52547, 51269, 55803, 51269, 51955, 53021, 71364, 52471, 51123, 56141, 51123, 50454, 52547, 51126, 55803, 60325, 51096, 58493, 80024, 50457, 52471, 51210, 56141, 51210, 60506, 65922, 52547, 51022, 55803, 51022, 53596, 51134, 52123, 51535, 51783, 51535, 51722, 51535, 76677, 50905, 50416, 52471, 51210, 56141, 51210, 50419, 52547, 50827, 55803, 50827, 51039, 60147, 53034, 50907, 54571, 76785, 52009, 51006, 54155, 51006, 51768, 53021, 79614, 53034, 54861, 54571, 54861, 50432, 51096, 66699, 51079, 56644, 50437, 52547, 51432, 55803, 67458, 51096, 73841, 53284, 77046, 50931, 51353, 50444, 53034, 51697, 54571, 51697, 76677, 64180, 51081, 52062, 50449, 52009, 51297, 54155, 51297, 51955, 53021, 50905, 50452, 51716, 60326, 53372, 60326, 50456, 51096, 59375, 51592, 50801, 80024, 50461, 52072, 51737, 53909, 51737, 53596, 51241, 52123, 51535, 51783, 51535, 51722, 51535, 51612, 51535, 76677, 55126, 51716, 51470, 53372, 51470, 56644, 50425, 52009, 52731, 54155, 52731, 51768, 53021, 79614, 53034, 51697, 54571, 75506, 51096, 58493, 56975, 54938, 51096, 51241, 52547, 51074, 55803, 72873, 53284, 50905, 50443, 52471, 51166, 56141, 62523, 52123, 72923, 50449, 53051, 53313, 60541, 53313, 50450, 51783, 77461, 53021, 54509, 51096, 50937, 51722, 50905, 53372, 53024, 62952, 53024, 50801, 80024, 60506, 50844, 53596, 51134, 54099, 51535, 52123, 51535, 51783, 51535, 51722, 51535, 53909, 63309, 59680, 63309, 76677, 75558, 50972, 51768, 53021, 54342, 51096, 61467, 56975, 54938, 51096, 67839, 55056, 55103, 52123, 57791, 50907, 71330, 51783, 60344, 50844, 51892, 51647, 54622, 51096, 50866, 51722, 56993, 50844, 69494, 51356, 51096, 51351, 54099, 51448, 52123, 51448, 51783, 51448, 51722, 51448, 50801, 55559, 75558, 55191, 53124, 56651, 53021, 54342, 51096, 66699, 56975, 54938, 51509, 51356, 50927, 51191, 52123, 50978, 51783, 50978, 51584, 50978, 51612, 65220, 53284, 55103, 61789, 54265, 55437, 52123, 50972, 52182, 50942, 50903, 53021, 67763, 53124, 54232, 50927, 50937, 52123, 51058, 51783, 51058, 51584, 51058, 51612, 70263, 80024, 60506, 50844, 69494, 51941, 50953, 51351, 55699, 51535, 52123, 51535, 51555, 51535, 51722, 51535, 76677, 75558, 55191, 51081, 51283, 51146, 51283, 50931, 52263, 50903, 53021, 68751, 53124, 53705, 50953, 66699, 56975, 54938, 50953, 69561, 53284, 55103, 55699, 60745, 53284, 55437, 51431, 50948, 55699, 50981, 52123, 50981, 51555, 50981, 51722, 50981, 52182, 66340, 50863, 50931, 52666, 50328, 65485, 53021, 67763, 51081, 51954, 50330, 66445, 60004, 51485, 50948, 50953, 61467, 80024, 67719, 51661, 51105, 51351, 54099, 51448, 52623, 51448, 51555, 51448, 51722, 51448, 51081, 52140, 50931, 52916, 76677, 78556, 50951, 52431, 51039, 55191, 53124, 62421, 53021, 54342, 51105, 55675, 56975, 54938, 51485, 51356, 51096, 51091, 54099, 50978, 52123, 50978, 51783, 50978, 51722, 65220, 53284, 55103, 54099, 66223, 53284, 55437, 52123, 77461, 53021, 71364, 52182, 57168, 53124, 54232, 51096, 50987, 51783, 66223, 80024, 51621, 50844, 63355, 51941, 50945, 51241, 57330, 51448, 52623, 51448, 51783, 51448, 51584, 51448, 51567, 51448, 76677, 75558, 55191, 53124, 63088, 53021, 54342, 50945, 60175, 51079, 56644, 53357, 51241, 57330, 51448, 52679, 51448, 51783, 51448, 51584, 51448, 76677, 55103, 76677, 55437, 52334, 51227, 53124, 63088, 53021, 54509, 50945, 66699, 80024, 75315, 51661, 51105, 51241, 54099, 51448, 52623, 51448, 51555, 51448, 76677, 75558, 55191, 53124, 63088, 53021, 54342, 51105, 61467, 56975, 54938, 51898, 51661, 50945, 51241, 52679, 50978, 51783, 50978, 51584, 65220, 53284, 55103, 57330, 60745, 53284, 55437, 52679, 50972, 50903, 53021, 71364, 52182, 58261, 53124, 54481, 50945, 50866, 57330, 51058, 52679, 51058, 51783, 51058, 51584, 70263, 80024, 51621, 50844, 69494, 51661, 51096, 51241, 52123, 50978, 51783, 50978, 51722, 50978, 51612, 65220, 53284, 55126, 54099, 57948, 55191, 52123, 77461, 53021, 68751, 53124, 54216, 51096, 50866, 51783, 66223, 56975, 54938, 51431, 51173, 51105, 51241, 54099, 50978, 52623, 50978, 51555, 65220, 53284, 55103, 66724, 72923, 50447, 51485, 55260, 54099, 50974, 52315, 60629, 53021, 54509, 51641, 50893, 51105, 50977, 52623, 66223, 80024, 51621, 50844, 64934, 51661, 51096, 51204, 52123, 50978, 51783, 50978, 51722, 65220, 53284, 55126, 54099, 57948, 55191, 52123, 50974, 53124, 60629, 53021, 54342, 51096, 50977, 51783, 66223, 56975, 54938, 51431, 51661, 50945, 51091, 52623, 51448, 51783, 51448, 51584, 51448, 51567, 51448, 76677, 55103, 76677, 55437, 52182, 62156, 53021, 67763, 53124, 54199, 50945, 60175, 80024, 60506, 65922, 53909, 51166, 59680, 51166, 69494, 52536, 51096, 51241, 52123, 51535, 51783, 51535, 51722, 51535, 76677, 50905, 50419, 53051, 55789, 60541, 55789, 50420, 52052, 52783, 56644, 50423, 51339, 52980, 50425, 52471, 51470, 56141, 65933, 51146, 51080, 50903, 53021, 68751, 53124, 67318, 52547, 52782, 55803, 52782, 50432, 51096, 52098, 50326, 51637, 50801, 51079, 56644, 50437, 53034, 53010, 54571, 53010, 50438, 51096, 51241, 50931, 51108, 76677, 50905, 50443, 52009, 51387, 54155, 64714, 50902, 51481, 76677, 55437, 51716, 51387, 53372, 78290, 52431, 50903, 53021, 50905, 50455, 52009, 53010, 54155, 53010, 50456, 51096, 62980, 52980, 50801, 80024, 69494, 51356, 51096, 51191, 54099, 50978, 52123, 50978, 51783, 50978, 51722, 50978, 51612, 50978, 52072, 52988, 53909, 52988, 50931, 52263, 76677, 75558, 55191, 52123, 50978, 53124, 60629, 53021, 54342, 51096, 50938, 51783, 79198, 51079, 56644, 53758, 51294, 61789, 50978, 52123, 50978, 51783, 50978, 51584, 65220, 53284, 77046, 51509, 51661, 51180, 55437, 52123, 50978, 53124, 50942, 50903, 53021, 54509, 50927, 50866, 51783, 79198, 80024, 69494, 51941, 50953, 51191, 52123, 51535, 51555, 51535, 51722, 51535, 51612, 51535, 76677, 75558, 55191, 53124, 50854, 50931, 52386, 50326, 51954, 50330, 65485, 53021, 54342, 50953, 68543, 51258, 51081, 50863, 51146, 55170, 51079, 56644, 50436, 50999, 52511, 50328, 78063, 54861, 55208, 67839, 53284, 55103, 55699, 51644 ]

[ 0, 250, 15855, 19834, 2125, 14, 7630, 6568, 10, 1619, 16464, 6, 4246, 10, 6755, 12547, 6, 13305, 6, 21979, 8669, 6, 8, 9590, 4, 8504, 11, 274, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 178, 5285, 20889, 6, 2351, 10, 19448, 8, 3722, 5466, 4, 20, 33215, 16739, 9, 230, 406, 6, 274, 119, 6, 230, 406, 6, 274, 119, 6, 8, 163, 43531, 3639, 7, 63, 25306, 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 ]

[ 57448, 57448, 51234, 50905, 50419, 50625, 60284, 78868, 50625, 61104, 50805, 50431, 50625, 50432, 51050, 50838, 50436, 50625, 64574, 50795, 50442, 50625, 50444, 51050, 61554, 50625, 50450, 51040, 60976, 50625, 50456, 51050, 70634, 50625, 54662, 50905, 50416, 50625, 60284, 75026, 50625, 61104, 74083, 50625, 50432, 51050, 70488, 50625, 50438, 50625, 50956, 53969, 50625, 51050, 50892, 50449, 50625, 50450, 51040, 68927, 50625, 50456, 51050, 77197, 50625, 54662, 50845, 50418, 50625, 60284, 50905, 50424, 50625, 61104, 63707, 54253, 50625, 50432, 51050, 62244, 53505, 50625, 64574, 77147, 51016, 50440, 50625, 50444, 51050, 74307, 50625, 50450, 51040, 70792, 50625, 50456, 51050, 51644, 50329, 74949, 50625, 57448, 51197, 50805, 51339, 51496, 56363, 55035, 50956, 54100, 50989, 51853, 50334, 54993, 50906, 51458, 50331, 68249, 50989, 52985, 50956, 54509, 51040, 50972, 53975, 55689, 50956, 58069, 50989, 52858, 50331, 51736, 51339, 50893, 50437, 50622, 51001, 66744, 50622, 50931, 51318, 50439, 50622, 51405, 54590, 50325, 51961, 51062, 51542, 50440, 50622, 52128, 51108, 50441, 50621, 50442, 50621, 50443, 50621, 50444, 50621, 51787, 51166, 50445, 50621, 50446, 50620, 50447, 50620, 50448, 50620, 50449, 50620, 50450, 50620, 50999, 52511, 50328, 52104, 50333, 50972, 50451, 50619, 50456, 51405, 50974, 57448, 50997, 51644, 50326, 52136, 51399, 53280, 51339, 52136, 61683, 50972, 53645, 53052, 50997, 53264, 51176, 55945, 51040, 51333, 56415, 59111, 51176, 50974, 54955, 52864, 50997, 50905, 50425, 50625, 61104, 51853, 50326, 54259, 50906, 52104, 50328, 53913, 51028, 51644, 50331, 57997, 51399, 60779, 51062, 57092, 51081, 51074, 53975, 51644, 50329, 51466, 50419, 50625, 69724, 51697, 56546, 64809, 51405, 52718, 50900, 52511, 50308, 61527, 53164, 50323, 52845, 50328, 51333, 58365, 53562, 50906, 56711, 50876, 74191, 50974, 53975, 60778, 55036, 50322, 53164, 50328, 51097, 58097, 55752, 50989, 51697, 63931, 51568, 50329, 51166, 50437, 50625, 50438, 50625, 51050, 73276, 53164, 50328, 55036, 50331, 52397, 50439, 50625, 50440, 50625, 50441, 50624, 50442, 50624, 50443, 50624, 50444, 50624, 50900, 51074, 50445, 50623, 50446, 50623, 50447, 50623, 50448, 50623, 50449, 50623, 50450, 50620, 50956, 69173, 51114, 51712, 50334, 50972, 50461, 50620, 57448, 51234, 64369, 53588, 51081, 53142, 51399, 55490, 51339, 53142, 60284, 54335, 51040, 53308, 51050, 54137, 50956, 53946, 50369, 53120, 60825, 51050, 56993, 50372, 53120, 59038, 51040, 56751, 54592, 50576, 56838, 51050, 50974, 51326, 50855, 54662, 50905, 51261, 51364, 51836, 51148, 52714, 51922, 51784, 51671, 53453, 51671, 55465, 51671, 55465, 51671, 50798, 51642, 52356, 50984, 51186, 55002, 60284, 54265, 58632, 51040, 50901, 52830, 50845, 51301, 50873, 56617, 53946, 55601, 55238, 51050, 50892, 51261, 51006, 51887, 50845, 51154, 50873, 54720, 55732, 57284, 50912, 51186, 52782, 64574, 51644, 50305, 60367, 53177, 50314, 51013, 51261, 51318, 51638, 51115, 51165, 51295, 53181, 51295, 52032, 68591, 53156, 50971, 51186, 55002, 50444, 51050, 57154, 54823, 51040, 57791, 51000, 53861, 50456, 51050, 71277, 50911, 51261, 51006, 51794, 50901, 51488, 50873, 53100, 50873, 52541, 56777, 71165, 51186, 52782, 55881, 61480, 51218, 50989, 51310, 50906, 50983, 50931, 51761, 51560, 51310, 51154, 51189, 51201, 50983, 51743, 51141, 53780, 51445, 52186, 51671, 52549, 51671, 51802, 51449, 53699, 51671, 55455, 51748, 50798, 53701, 50584, 51297, 51105, 55002, 56363, 54042, 54689, 50956, 56751, 51000, 53861, 50432, 50989, 51853, 50322, 50806, 51560, 51254, 51491, 50845, 51600, 50901, 52332, 55998, 71165, 51105, 54071, 63808, 64813, 69246, 64609, 51295, 51560, 51253, 51426, 51742, 51395, 51452, 52402, 51790, 50798, 59029, 50971, 51105, 54344, 50444, 50989, 55559, 60258, 50956, 50905, 52318, 77867, 50864, 52066, 51228, 54344, 50456, 51040, 60386, 51851, 53673, 53975, 50873, 51461, 51310, 52032, 51047, 52173, 51447, 53101, 51314, 55455, 51447, 55705, 61619, 53156, 50912, 50964, 55002, 58097, 51079, 53842, 71241, 52858, 50319, 50806, 51405, 50845, 51426, 50901, 51395, 50873, 52402, 53946, 56914, 55100, 50906, 59879, 52370, 50333, 50845, 51461, 50978, 51154, 50849, 65979, 51743, 51654, 51126, 53673, 50964, 52731, 63451, 51442, 50324, 50795, 52128, 50974, 57411, 51295, 51375, 50901, 51629, 50849, 52255, 50849, 51836, 51148, 52173, 51490, 51802, 51314, 54668, 51314, 56848, 74744, 56914, 50971, 52936, 53577, 61614, 76724, 51936, 50334, 50892, 51491, 50845, 51600, 50901, 52332, 54042, 55256, 50877, 56645, 53194, 50333, 50901, 51154, 50873, 51201, 50805, 51743, 53888, 50971, 52066, 50456, 51001, 50795, 51405, 50974, 57411, 51006, 51426, 50974, 51395, 50905, 52402, 52839, 50904, 52936, 52782, 55435, 64674, 51295, 50906, 50983, 51028, 51637, 50931, 51295, 52157, 51310, 51154, 53651, 51201, 53259, 51743, 53259, 53151, 51244, 52186, 51314, 52549, 51447, 53157, 51447, 55826, 74260, 51000, 52470, 51096, 55002, 61683, 50873, 53842, 53645, 56751, 51126, 53861, 71288, 50845, 52157, 62977, 51128, 52470, 51096, 52731, 50438, 51176, 50805, 51522, 51295, 53916, 50981, 52926, 51490, 52549, 51447, 53699, 51490, 53157, 74744, 50984, 53884, 51325, 53577, 71289, 51330, 52470, 56415, 50838, 51836, 57604, 51174, 53861, 50456, 51176, 50892, 51522, 53840, 51128, 53673, 51325, 52192, 54955, 50893, 51098, 51047, 52032, 51313, 52278, 51449, 52186, 51671, 55465, 51748, 53157, 51671, 50798, 52482, 53861, 50953, 52147, 56363, 54042, 55070, 51040, 51712, 50326, 50923, 51638, 50901, 51165, 50873, 53181, 53946, 61349, 63931, 65348, 50923, 51299, 50845, 77854, 52133, 55732, 51319, 53673, 50438, 51028, 51514, 50331, 50879, 54128, 51189, 51426, 50845, 51395, 50901, 52402, 55998, 57162, 51142, 51443, 53280, 50444, 51399, 50893, 51794, 50905, 51488, 50892, 53100, 52839, 59038, 51062, 50911, 51299, 50845, 77854, 52133, 53946, 53156, 55346, 51081, 50806, 54128, 50917, 51638, 50905, 51165, 50845, 53181, 52839, 50971, 51443, 51824, 53975, 58681, 51477, 51114, 51115, 51081, 51141, 51461, 51295, 51794, 51318, 51488, 51115, 53100, 51115, 53780, 51244, 54219, 51490, 52186, 51449, 52915, 51671, 54670, 73506, 52482, 50791, 50827, 50964, 53577, 56440, 52201, 56323, 50989, 55284, 59251, 55238, 50906, 50805, 51405, 50806, 51461, 50978, 51426, 50892, 51395, 50845, 52402, 55998, 51126, 53884, 50964, 52731, 55203, 56472, 51283, 50968, 51218, 50951, 51189, 51081, 50983, 51461, 51295, 51299, 51115, 51093, 51218, 52133, 51218, 51946, 51080, 52278, 74260, 51166, 53884, 50964, 53577, 65827, 56655, 51297, 56222, 53946, 62441, 50456, 50906, 71673, 50923, 51461, 50978, 51638, 50901, 51165, 50873, 53181, 55732, 51126, 53861, 50964, 52731, 53975, 58681, 51477, 51001, 51318, 51114, 51318, 51081, 51141, 51461, 51295, 51299, 51115, 51093, 51295, 52133, 51295, 53780, 51080, 54219, 51490, 52186, 51314, 52915, 51671, 53699, 51671, 50798, 53156, 50941, 50964, 53577, 58097, 52808, 57203, 50989, 54371, 51000, 51892, 63931, 51442, 50331, 50879, 51461, 51058, 51426, 50845, 51395, 50901, 52402, 55998, 70196, 50971, 50964, 52782, 63451, 56472, 51283, 51001, 51283, 50931, 51218, 50999, 50983, 57411, 51115, 51794, 51115, 51488, 51295, 53100, 51218, 52196, 51080, 52714, 51490, 52355, 74260, 50907, 53861, 52936, 53577, 61614, 54042, 54823 ]

[ 0, 250, 765, 5175, 15229, 19, 15855, 16882, 6, 4246, 10, 3551, 139, 8, 6755, 12547, 7513, 30, 10, 486, 118, 9877, 483, 6, 21711, 102, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 381, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 2933, 6, 23975, 6, 8, 25306, 5466, 4, 20, 33215, 16739, 9, 3676, 6, 230, 6, 3676, 6, 8, 230, 401, 3639, 7, 63, 15352, 30054, 8, 5679, 26709, 13408, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50799, 53428, 51452, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53299, 53398, 52639, 52521, 50813, 54231, 50813, 53554, 50813, 54807, 50820, 53448, 52810, 53448, 52919, 50438, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 55261, 56060, 54271, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 55388, 51025, 77435, 50813, 54231, 50813, 53554, 50813, 51093, 52644, 53448, 53299, 54271, 58193, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 52810, 55261, 59290, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 53428, 57554, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 53048, 51025, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 54807, 51095, 50420, 53698, 72038, 52521, 50813, 54231, 50813, 54388, 50813, 53398, 50846, 57889, 52810, 53398, 53442, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 52919, 50450, 52521, 50813, 54231, 50813, 54388, 50813, 51107, 50813, 57889, 53211, 51266, 50840, 77435, 50813, 54231, 50813, 54388, 50813, 51093, 50840, 57889, 53299, 51266, 53939, 52521, 50813, 54231, 50813, 54388, 50813, 51357, 50880, 57889, 52810, 51266, 54459, 52521, 50813, 54231, 50813, 54388, 50813, 71315, 57889, 53524, 51266, 53688, 52521, 50813, 54231, 50813, 54388, 50813, 51113, 50840, 57889, 53211, 51266, 50840, 50799, 53428, 51452, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53299, 53398, 56382, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 57889, 56799, 56311, 52919, 50438, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 55261, 56060, 54271, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 55388, 51025, 77435, 50813, 54231, 50813, 53554, 50813, 51093, 52644, 53448, 53299, 54271, 58193, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 52810, 55261, 59290, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53524, 53428, 57554, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 53211, 53048, 51025, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53698, 51134, 54807, 55440, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 53398, 56799, 57889, 52919, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52800, 52521, 50813, 54231, 50813, 54388, 50813, 51107, 50813, 57889, 53211, 51266, 50840, 77435, 50813, 54231, 50813, 54388, 50813, 51093, 50840, 57889, 53299, 51266, 53939, 52521, 50813, 54231, 50813, 54388, 50813, 51357, 50880, 57889, 52810, 51266, 54459, 52521, 50813, 54231, 50813, 54388, 50813, 71315, 57889, 53524, 51266, 53688, 52521, 50813, 54231, 50813, 54388, 50813, 51113, 50840, 57889, 53211, 51266, 50840, 50799, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 51093, 51452, 57889, 53299, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 53698, 59290, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 53517, 69204, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 52869, 51346, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 55299, 56060, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53211, 55299, 51346, 77435, 50813, 54231, 50813, 54388, 50813, 57889, 53299, 53048, 55440, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 52810, 53048, 51346, 50438, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53524, 53446, 56060, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 53211, 53446, 51204, 77435, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 56311, 51043, 53448, 71266, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53398, 51043, 53011, 69397, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53448, 51043, 54648, 65029, 52521, 50813, 54231, 50813, 53554, 50813, 53448, 50813, 53398, 51043, 53011, 51043, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 56311, 50813, 53448, 50813, 53448, 51043, 50420, 53446, 55440, 53048, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 56311, 50813, 53448, 50813, 53448, 69400, 53050, 68499, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 50813, 53941, 64949, 53048, 51043, 52521, 50813, 54231, 50813, 54388, 50813, 57889, 50813, 57889, 50813, 53941, 51095, 50799, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 54507, 53446, 50878, 65203, 51266, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 52810, 53698, 51025, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53524, 53517, 51134, 65203, 51266, 52843, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53211, 65203, 78155, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53299, 53446, 50878, 65203, 51266, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 52810, 52869, 51346, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53524, 55299, 50878, 65203, 51266, 52843, 53048, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 53211, 55299, 51346, 65203, 78155, 77435, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 51095, 50420, 53048, 50878, 65203, 51266, 52654, 53446, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 57889, 50813, 53941, 69400, 53048, 51346, 65203, 51266, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 55030, 50813, 53155, 74971, 53446, 50878, 65203, 51266, 52843, 53698, 50878, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 78155, 55030, 50813, 53155, 69780, 53446, 51134, 65203, 78155, 77435, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 56311, 50813, 53448, 54507, 65203, 51201, 52654, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53398, 50813, 53011, 52810, 65203, 51201, 52729, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53448, 50813, 54648, 53524, 65203, 51201, 52843, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 53398, 50813, 53011, 53211, 65203, 72214, 50799, 53698, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 56311, 50813, 53448, 53299, 53446, 50878, 65203, 51201, 52654, 53048, 50878, 52521, 50813, 54231, 50813, 53554, 50813, 65203, 72214, 55030, 50813, 53155, 53810, 53050, 51141, 65203, 51201, 52729, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 72214, 57889, 50813, 53941, 54989, 65203, 51201, 52843, 53048, 51043, 52521, 50813, 54231, 50813, 54388, 50813, 65203, 72214, 57889, 50813, 53941, 54647, 65203, 72214, 50799, 53446, 51043, 52130, 50813, 53304, 50813, 53485, 69685, 51452, 57889, 51801, 50426, 53698, 50878, 52130, 50813, 53304, 50813, 53485, 52810, 53446, 67082, 52130, 50813, 53304, 50813, 53485, 52800, 53048, 50878, 52130, 50813, 53304, 50813, 53485, 53211, 53698, 51025, 77630, 50813, 53304, 50813, 53485, 50813, 51491, 51452, 50420, 53517, 72038, 52130, 50813, 53304, 50813, 53485, 52781, 52130, 50813, 53304, 50813, 53485, 52800, 53517, 50878, 52130 ]

[ 0, 250, 15352, 30054, 1619, 3495, 2214, 19, 10, 2842, 9, 5175, 4785, 6, 4246, 10, 13305, 6, 2342, 4467, 6, 21072, 6, 6755, 12547, 6, 8, 18558, 4, 20, 2125, 16, 11, 274, 538, 6, 34, 10, 132, 73, 306, 86, 6543, 6, 8, 3136, 23, 10, 11956, 178, 5285, 20889, 4, 20, 1049, 33215, 16739, 10726, 9, 230, 406, 6, 274, 6, 1918, 6, 272, 119, 6, 8, 230, 6, 2351, 10, 32625, 8, 5679, 26709, 5466, 1328, 5, 2214, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 51057, 50624, 54258, 51101, 50423, 52807, 62118, 52257, 50866, 50799, 57117, 50866, 52327, 75504, 53369, 54278, 51614, 53961, 51515, 54014, 51773, 51115, 50456, 52257, 50866, 73471, 50866, 52327, 50866, 52806, 75504, 51515, 54278, 51440, 53961, 51607, 51047, 78940, 50866, 52603, 55085, 52557, 50866, 52327, 54278, 52603, 50866, 52027, 59102, 54258, 54014, 52603, 51134, 51434, 51115, 50456, 51773, 50866, 75235, 50866, 51669, 64965, 52557, 54278, 51515, 50866, 51614, 59102, 51773, 66744, 52557, 57554, 57117, 58761, 51773, 54655, 51607, 50813, 50799, 55677, 50866, 51669, 51115, 51699, 51151, 51638, 51151, 51426, 51151, 51105, 75504, 52557, 54278, 52027, 53961, 51434, 54014, 52027, 51101, 51607, 51101, 50447, 51434, 51101, 52603, 62034, 51515, 50866, 51669, 50866, 51105, 50866, 71862, 50866, 51607, 51115, 51887, 51151, 51638, 51151, 51251, 51151, 50927, 75504, 52557, 54278, 51614, 53961, 51515, 67082, 51773, 69204, 52557, 58761, 51773, 54655, 51515, 50813, 50799, 54437, 50866, 52027, 51025, 51699, 51151, 51299, 51151, 51426, 51151, 50964, 75504, 52769, 54278, 51515, 50866, 51774, 59102, 51773, 54014, 51669, 50866, 51434, 60182, 52603, 57554, 51774, 58761, 52327, 50866, 50964, 54655, 51105, 50813, 75235, 50866, 51607, 51025, 51699, 51397, 51638, 51397, 51426, 51397, 50945, 71215, 51774, 54278, 51434, 50866, 52027, 59102, 51773, 54014, 53369, 51714, 51440, 51714, 51607, 51714, 51883, 51151, 51299, 51151, 77681, 50945, 51714, 51038, 76759, 51422, 51774, 51422, 53124, 55085, 53124, 54278, 53124, 53961, 51596, 54014, 51596, 51115, 67547, 51422, 51515, 51422, 51440, 51422, 51752, 55085, 51752, 54278, 51752, 53961, 51606, 54014, 51752, 51115, 78940, 51422, 51614, 51422, 52315, 55085, 52315, 54278, 52315, 53961, 51752, 54014, 51596, 51134, 50456, 52315, 50866, 76759, 51422, 51614, 51422, 51515, 51422, 53320, 55085, 53320, 54278, 53320, 53961, 51565, 54014, 51565, 51134, 50456, 51606, 50866, 50799, 55677, 51422, 52557, 51422, 51614, 51422, 52182, 55085, 52182, 54278, 52182, 53961, 51606, 54014, 51606, 51134, 50456, 52161, 50866, 76759, 51422, 51515, 51422, 51596, 51422, 66629, 51422, 52027, 51422, 51434, 51422, 51596, 55085, 51752, 54278, 51752, 53961, 52315, 54014, 51596, 55040, 51752, 58761, 52315, 50866, 75235, 51115, 52557, 51115, 52182, 55085, 53124, 51452, 50438, 53369, 51115, 50439, 52027, 51115, 50440, 51607, 50810, 51440, 70703, 51669, 55726, 51607, 53211, 51773, 54655, 51434, 50813, 50799, 57117, 50866, 51515, 51422, 53124, 50866, 51638, 51151, 51251, 51151, 77681, 51096, 71382, 64965, 53369, 50866, 53124, 54278, 52557, 50866, 53124, 53961, 51614, 50866, 51596, 54014, 51515, 51115, 51596, 51115, 50843, 59957, 51270, 52800, 51236, 54752, 51096, 52784, 50866, 51270, 61219, 50964, 50813, 71862, 50866, 51752, 50866, 51883, 51151, 51299, 51151, 77681, 50927, 59401, 64965, 52806, 50866, 51752, 54278, 51614, 51025, 51752, 53961, 51606, 54014, 51440, 51025, 51752, 51115, 50927, 51115, 50843, 54356, 51515, 51025, 50832, 50866, 78940, 51422, 51614, 51422, 52315, 50866, 51699, 51151, 51638, 51151, 51251, 51151, 50953, 71382, 64965, 52315, 54278, 52315, 53961, 51752, 54014, 51596, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52315, 50866, 50927, 53840, 50866, 51270, 50866, 50799, 57117, 50866, 53320, 50866, 51887, 51151, 52316, 51151, 51251, 51151, 51096, 59401, 64965, 53369, 50866, 53320, 54278, 54632, 50866, 53320, 53961, 52557, 51047, 51565, 54014, 51565, 51134, 50927, 51115, 50843, 54356, 50832, 54752, 51606, 50866, 50799, 55677, 50866, 52182, 50866, 51699, 51151, 51638, 51151, 51426, 51151, 51105, 71382, 64965, 52557, 50866, 52182, 54278, 52027, 50866, 52182, 53961, 51515, 51047, 51606, 54014, 51606, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52161, 50866, 51105, 53840, 50866, 51270, 50866, 76759, 51025, 51614, 51025, 51596, 51025, 51887, 51025, 51638, 51025, 51251, 51025, 51096, 59486, 58193, 52806, 51025, 51515, 51025, 51752, 51025, 51887, 51025, 51883, 51025, 51299, 51025, 51069, 59290, 52769, 51115, 51614, 51115, 52315, 51134, 51699, 51397, 51638, 51397, 51251, 51397, 50953, 51115, 50843, 54356, 50832, 54752, 54809, 54655, 55830, 50813, 66629, 51115, 52027, 51115, 51434, 51115, 51596, 50866, 51699, 51151, 51299, 51151, 51426, 51151, 50964, 71382, 64965, 51752, 54278, 51752, 53961, 52315, 54014, 52027, 51115, 51434, 51115, 51773, 51115, 51752, 51134, 50843, 59957, 51270, 52800, 51236, 54752, 52315, 50866, 51105, 53840, 50866, 51270, 50866, 75235, 51115, 52027, 51115, 51565, 50866, 51699, 52644, 51638, 52644, 51154, 52644, 50945, 59401, 64965, 51606, 54278, 51606, 53961, 51596, 54014, 53369, 51115, 52027, 51115, 51606, 51714, 50945, 51115, 50843, 54356, 51434, 51025, 51773, 51025, 50832, 50866, 76056, 50866, 51773, 50866, 52327, 50866, 53369, 51025, 50945, 59401, 64965, 51607, 54278, 51773, 50866, 52027, 59102, 51607, 54014, 55677, 51025, 52027, 51025, 51773, 51025, 51565, 51025, 51699, 51025, 51638, 51025, 51426, 51025, 51105, 62720, 50866, 56953, 52800, 53369, 51025, 52027, 51025, 51440, 51025, 51606, 51025, 51883, 51025, 51299, 51025, 51154, 51025, 50945, 57765, 72829, 50813, 53061, 53211, 51326, 50813, 50799, 57117, 50866, 53124, 50866, 51887, 51151, 51638, 51151, 51251, 51151, 51096, 59084, 50866, 51769, 55085, 53369, 50866, 52182, 55377, 50426, 52557, 50866, 52315, 80104, 50432, 53369, 50866, 51752, 50866, 51096, 71844, 50438, 52557, 50866, 51596, 50866, 51096, 59401, 55377, 50444, 53369, 50866, 51606, 55377, 50450, 52557, 51025, 51614, 51025, 51565, 80104, 50456, 51827, 78073, 71862, 50866, 51686, 50866, 51883, 51151, 51251, 51151, 77681, 50927, 59084, 55377, 50420, 52806, 50866, 51606, 55377, 50426, 51614, 50866, 51606, 80104, 50432, 52806, 50866, 51596, 50866, 50927, 71844, 50438, 51515, 50866, 51596, 51134, 50927, 59486, 55377, 50444, 52806, 55377, 50450, 51614, 51025, 51515, 51025, 50964, 57765, 55377, 50456, 51596, 78073, 50799, 54437, 50866, 51565, 50866, 51699, 51397, 51299, 51397, 51426, 51397, 50964, 59084, 55377, 50420, 52769, 50866, 52161, 55377, 50426, 51774, 50866, 52161, 80104, 50432, 52769, 50866, 51752, 50866, 50964, 71844, 50438, 53369, 51109, 51752, 51134, 51638, 51025, 51299, 51025, 51426, 51025, 50945, 59486, 55377, 51180, 54356, 51774, 51025, 51883, 51025, 51299, 51025, 51154, 51025, 50945, 57765, 55377, 50456, 53124, 78073, 71862, 50866, 51606, 50866, 51883, 51397, 51251, 51397, 51154, 51397, 50927, 59084, 55377, 50420, 52806, 50866, 51596, 55377, 50426, 51515, 50866, 51596, 80104, 50432, 51614, 50866, 52315, 50866, 50927, 71844, 50438, 52769, 50866, 52315, 51025, 51699, 51397, 51638, 51397, 51251, 51397, 50953, 59401, 55377, 50444, 51614, 55377, 50450, 51434, 51025, 52315, 54566, 55377, 50455, 51752, 50878, 56672, 61219, 51596, 50813, 75235, 50866, 51596, 50866, 51883, 51151, 51299, 51151, 51426, 51151, 50945, 59084, 55377, 50420, 51774, 50866, 51752, 51115, 53226, 50426, 52027, 57765, 55377, 50432, 51105, 71844, 50438, 51515, 51025, 50945, 59486, 55377, 50444, 51596, 64914, 56953, 52800, 51774, 50866, 52027, 50866, 51752, 77440, 57765, 72829, 55726, 52315, 53352, 53211, 53369, 50866, 52182, 50866, 51326, 50813, 50799, 57117, 50866, 53124, 50866, 51887, 51151, 51638, 51151, 51251, 51151, 51096, 59084 ]

[ 0, 250, 19448, 8, 5679, 26709, 5175, 25771, 2214, 11, 230, 538, 6, 4246, 3459, 8, 81, 9756, 29589, 6, 13305, 6, 6755, 12547, 6, 8, 3459, 9590, 4, 20, 15352, 30054, 15229, 6, 278, 11, 204, 73, 306, 86, 6543, 19, 41, 12447, 1001, 20889, 6, 5705, 13774, 5, 33215, 16739, 163, 428, 6, 274, 6, 163, 428, 6, 8, 230, 6, 2351, 10, 3366, 219, 8, 23975, 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 ]

[ 54458, 50796, 50799, 50775, 50309, 68086, 50799, 53075, 54217, 51303, 54089, 51249, 54089, 51327, 52903, 53818, 58962, 53511, 58962, 55014, 58962, 50945, 54300, 50791, 50971, 51690, 73728, 51039, 50886, 51544, 50904, 51361, 50904, 51570, 50886, 51180, 50904, 52320, 55735, 50801, 53340, 50904, 50799, 56997, 50978, 55313, 50864, 53985, 50897, 52945, 50925, 51039, 62488, 56997, 50978, 53985, 50955, 52945, 50925, 51768, 51559, 60394, 56997, 50955, 53985, 50833, 52945, 50810, 51361, 53945, 56997, 51233, 53861, 53985, 51233, 52945, 79954, 51687, 50914, 51231, 51603, 51414, 51054, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 67425, 50971, 51811, 52256, 50446, 55049, 51542, 53132, 50914, 53391, 51241, 51955, 51420, 54232, 50852, 50886, 50799, 55285, 52024, 51410, 53090, 51303, 52045, 51414, 52045, 53733, 58962, 54638, 58962, 51096, 53090, 50801, 50950, 52470, 51384, 63712, 51039, 50886, 51768, 50862, 52558, 51361, 50864, 51570, 50867, 51180, 50864, 51955, 51437, 55370, 50801, 50840, 52470, 50799, 56997, 51008, 52962, 50867, 53985, 50942, 52945, 50942, 51039, 62488, 56997, 51008, 53985, 50955, 52945, 50942, 51768, 52873, 63341, 56997, 50886, 53985, 50810, 52945, 50810, 51361, 54728, 56997, 51534, 52470, 53985, 51177, 52945, 51194, 50444, 51687, 51400, 51231, 50980, 51414, 51157, 53370, 52519, 56125, 52519, 51105, 51191, 52470, 51811, 55002, 50446, 55049, 51480, 53132, 51025, 53391, 51377, 51955, 51559, 54232, 63609, 50799, 53075, 54089, 51303, 53090, 51249, 52045, 51327, 52821, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 50959, 50945, 51585, 50801, 50950, 52470, 50775, 50309, 68086, 53985, 50925, 52945, 50878, 51690, 63712, 51039, 59329, 53698, 50844, 53985, 50812, 52945, 50808, 51768, 51559, 63432, 53698, 50844, 53985, 50854, 52945, 50854, 51361, 54077, 53698, 51412, 50791, 50886, 53985, 51212, 52945, 51177, 51180, 61794, 53446, 51419, 53132, 51351, 53391, 73324, 50964, 63096, 51539, 55370, 63151, 50904, 50799, 53698, 50844, 50945, 51356, 52962, 50886, 53985, 50910, 52945, 50897, 51039, 59993, 53698, 50822, 53985, 50910, 52945, 50910, 51768, 51464, 63341, 53698, 50886, 53985, 50833, 52945, 50833, 51361, 53980, 53698, 51423, 52558, 53985, 51101, 52945, 65562, 51687, 51109, 51231, 51460, 51414, 50896, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51141, 51209, 51295, 50791, 50886, 51811, 53280, 50446, 53446, 51419, 53132, 50889, 53391, 50889, 51955, 53065, 54199, 50852, 50867, 50799, 55285, 54153, 51410, 53090, 51303, 53090, 51414, 53090, 53733, 58962, 54638, 58962, 53698, 50844, 51096, 51446, 51408, 51353, 59944, 50867, 53985, 50952, 52945, 50897, 52689, 50942, 51384, 58962, 51039, 59329, 53698, 50822, 53985, 50812, 52945, 50925, 52689, 50955, 51768, 51539, 73418, 53698, 50867, 53985, 50833, 52945, 50812, 52689, 53513, 50945, 51100, 79788, 53698, 51212, 51186, 51623, 52558, 53985, 50873, 52945, 51121, 52689, 50905, 51180, 59763, 53446, 50981, 53985, 51267, 53391, 50943, 52888, 50981, 51955, 51750, 63226, 55449, 54481, 50801, 52304, 51126, 50799, 55449, 51212, 52962, 55394, 51096, 51196, 74755, 53517, 51312, 51768, 51406, 63432, 56997, 51749, 51361, 53980, 53517, 55999, 54305, 51687, 51194, 51231, 51167, 51414, 51175, 53370, 52519, 56125, 52519, 55449, 50978, 51105, 51226, 52558, 51955, 51833, 54194, 53698, 51445, 63609, 66513, 53090, 51249, 53090, 51327, 53454, 53818, 58962, 53511, 58962, 55014, 58962, 50945, 53174, 51935, 62045, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 54915, 51133, 51167, 59193, 55835, 53698, 51058, 50945, 52311, 51897, 50941, 50799, 53428, 51677, 50801, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 51000, 51361, 50941, 51570, 55434, 51687, 51351, 51231, 50896, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51364, 52962, 50941, 53132, 51295, 54669, 72044, 52869, 50959, 59193, 55370, 63380, 61357, 54300, 51303, 54089, 51414, 54300, 53733, 58962, 54638, 58962, 53050, 51293, 51096, 51605, 55313, 50864, 53985, 56235, 52888, 56235, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 50945, 51111, 51897, 50941, 54516, 63524, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 56693, 51096, 51091, 53861, 50438, 53517, 50978, 53861, 50444, 51687, 51351, 51231, 51226, 51414, 51204, 53370, 52519, 56125, 52519, 51105, 51141, 52962, 70042, 53517, 50978, 51955, 51464, 65556, 55449, 54900, 63380, 66513, 52903, 51249, 53090, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 52071, 50945, 53241, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 60838, 51334, 51446, 53861, 51570, 50971, 51180, 54915, 51408, 51177, 59193, 55835, 69161, 51229, 51452, 51897, 50941, 52354, 53672, 52516, 55772, 50945, 51552, 51895, 51102, 63521, 51070, 51000, 51768, 51437, 56138, 66251, 53428, 50959, 51361, 54927, 53428, 51337, 53861, 50444, 51687, 51351, 51231, 51294, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 50983, 52962, 70042, 52869, 50959, 51955, 51464, 65556, 52869, 53820, 63380, 61357, 52903, 51303, 53090, 51414, 52045, 53733, 58962, 54638, 58962, 52869, 51242, 51096, 51991, 55313, 54202, 53050, 53753, 52352, 51102, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 50945, 51158, 51897, 50941, 54516, 65501, 52516, 50904, 50775, 50309, 68086, 51039, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 51000, 51361, 54927, 53517, 50959, 53861, 50444, 51687, 50915, 71217, 51414, 51091, 53370, 52519, 56125, 52519, 51105, 50983, 52962, 70042, 53517, 50978, 51955, 51464, 65556, 55449, 53820, 63380, 66513, 53090, 51249, 52903, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 51313, 50945, 53241, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 51126, 51361, 50941, 51570, 50971, 51180, 50904, 51955, 51464, 55835, 69161, 51897, 50941, 52354, 52195, 50801, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 66251, 53698, 50959, 51361, 54927, 53428, 51542, 53861, 50444, 51687, 51351, 51231, 51362, 51414, 51226, 53370, 52519, 53949, 53201, 56125, 52519, 51105, 51364, 52962, 50941, 51955, 51464, 65556, 52869, 50959, 56672, 50825, 61357, 53090, 51303, 52045, 51414, 54300, 53733, 58962, 54638, 58962, 55324, 51212, 51096, 51141, 55313, 50864, 51039, 58682, 67643, 53050, 52222, 50423, 51070, 50864, 51768, 50904, 63985, 60838, 50945, 52201, 54927, 51186, 71109, 50971, 51180, 50904, 51955, 51464, 55835, 51096, 51356, 51897, 50941, 51755, 52516, 77654, 59795, 63521, 51070, 51000, 51768, 51437, 56138, 56693, 51105, 51623, 53861, 50438, 53517, 50959, 53861, 50444, 51687, 51003, 51231, 51073, 51414, 51091, 53370, 52519, 56125, 52519, 52962, 70042, 53517, 50987, 51955, 51464, 65556, 55449, 51008, 56672, 50825, 66513, 53090, 51249, 53090, 51327, 53090, 53818, 58962, 53511, 58962, 55014, 58962, 53698, 53487, 50945, 52392, 55313, 50864, 51039, 58682, 63521, 51070, 50864, 51768, 50904, 63985, 60838, 51334, 51562, 53861, 51570, 50971, 51180, 54915, 51408, 50925, 59193, 55835, 69741, 51897, 50941, 52354, 51527, 51229, 51742, 51334, 51742 ]

[ 0, 250, 5679, 26709, 5175, 15229, 4246, 10, 13305, 6, 38668, 11212, 6, 2342, 4467, 6, 8, 15054, 17838, 6, 2351, 10, 3366, 219, 8, 19448, 5466, 4, 8504, 11, 83, 3694, 19, 10, 155, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 23667, 2877, 4, 20, 33215, 16739, 9, 1918, 6, 163, 406, 6, 3676, 6, 163, 406, 6, 8, 272, 3639, 7, 63, 364, 38537, 13569, 9862, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 75571, 75571, 78534, 51295, 51050, 51364, 50871, 50893, 55796, 50974, 50740, 50333, 78556, 53124, 51685, 60187, 51591, 50420, 56477, 51790, 50900, 51364, 66789, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53091, 72600, 54963, 78704, 51013, 50740, 50333, 61112, 56477, 51790, 51034, 53124, 51661, 50739, 50294, 51295, 51120, 57874, 51977, 53679, 50974, 50740, 50333, 50905, 60187, 51413, 50420, 55831, 51295, 50899, 51896, 67931, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53956, 51790, 50438, 54120, 51932, 54963, 78704, 51013, 50740, 50333, 51097, 59623, 75665, 55831, 51295, 51034, 53124, 51285, 50739, 50290, 51189, 51234, 56135, 51977, 53361, 50974, 50740, 50335, 50905, 60187, 51446, 50420, 55831, 51295, 50899, 51896, 67931, 56307, 54240, 51295, 51050, 51336, 55796, 51244, 50432, 54142, 51790, 50437, 52182, 51427, 59613, 69705, 54240, 51295, 50861, 51336, 50740, 50335, 61112, 55831, 51295, 51034, 52155, 52195, 78098, 51189, 50900, 51364, 50876, 51343, 66789, 50974, 50740, 50340, 50905, 60072, 51446, 50420, 54240, 51295, 50740, 50335, 56307, 53091, 51295, 66789, 51145, 50432, 53807, 51790, 50438, 52315, 51290, 53091, 51295, 50876, 51336, 50740, 50340, 51097, 57389, 67645, 54240, 51295, 50861, 50893, 50740, 50335, 50905, 51034, 51752, 51055, 50739, 50289, 51189, 51050, 51364, 50871, 51343, 55796, 50974, 50740, 50333, 50905, 61090, 51157, 50420, 56477, 51790, 50900, 51364, 66789, 56307, 53124, 51227, 54963, 51790, 51027, 51196, 57756, 51145, 60187, 70705, 53091, 51790, 50438, 51596, 51290, 54963, 52069, 50871, 51013, 50740, 50333, 51097, 64008, 67645, 56477, 51295, 51034, 50739, 50289, 51519, 50294, 51364, 50871, 51343, 53679, 50974, 50740, 50333, 78556, 51752, 51300, 61090, 70599, 55831, 51295, 50899, 51896, 67931, 56307, 54963, 51790, 51027, 51196, 57756, 51145, 50432, 53956, 51295, 50437, 53124, 51227, 60187, 69205, 54963, 52122, 50871, 51013, 50740, 50333, 61112, 55831, 50901, 51034, 52182, 55198, 50739, 50290, 51364, 51234, 51364, 50906, 51364, 53361, 50974, 50740, 50338, 50974, 59613, 52045, 50420, 55831, 51141, 50861, 52500, 50740, 50335, 53770, 54240, 51141, 50997, 51336, 59601, 51244, 50432, 54142, 52446, 54240, 51623, 50861, 54454, 50740, 50335, 61112, 55831, 51141, 50899, 51343, 67931, 50905, 51034, 78098, 60867, 51364, 50876, 51343, 66789, 50974, 50740, 50340, 55126, 54240, 51141, 50861, 53002, 50740, 50335, 56307, 53091, 62530, 51196, 66789, 51145, 50432, 53807, 68499, 53091, 51623, 50876, 51013, 50740, 50340, 61112, 54240, 55143, 53073, 50740, 50335, 50905, 51034, 52155, 52369, 60607, 69748, 51364, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 60072, 59047, 54963, 51991, 50871, 51364, 50740, 50333, 56307, 53956, 51141, 50900, 51196, 66789, 51145, 50432, 53775, 51790, 50438, 53956, 57254, 51013, 50740, 50337, 61112, 54963, 51790, 51034, 52155, 52512, 50739, 50294, 51189, 51027, 51364, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 60072, 51472, 50420, 54963, 51790, 50871, 51896, 50740, 50333, 56307, 53956, 51295, 50899, 51196, 67931, 51145, 50432, 53136, 51790, 50438, 52155, 51354, 53956, 51295, 50877, 51013, 50740, 50337, 51097, 60072, 60482, 54963, 52122, 51034, 52202, 51300, 78098, 51591, 51315, 51364, 50965, 51343, 55314, 50974, 50740, 50336, 50905, 65696, 70599, 55831, 51295, 50899, 51896, 67931, 56307, 55521, 51295, 51086, 51196, 64995, 51145, 50432, 53136, 55306, 51752, 51162, 55521, 51295, 50965, 51013, 50740, 50336, 51097, 61090, 51411, 50444, 55831, 51295, 51034, 51596, 51274, 78098, 51189, 51086, 51364, 50973, 51343, 64995, 50974, 50740, 50339, 50905, 64008, 70506, 55521, 51790, 50965, 51364, 50740, 50336, 56307, 55837, 51295, 50899, 51196, 67931, 51145, 50432, 54173, 72600, 51606, 51653, 55837, 64449, 51013, 50740, 50339, 51097, 78415, 51238, 50444, 55521, 51295, 51034, 51789, 51016, 50739, 50289, 51189, 51279, 51364, 50916, 51343, 52684, 50974, 50740, 50332, 50905, 76401, 57519, 56477, 60259, 51896, 66789, 56307, 51752, 51160, 56431, 51295, 51315, 51336, 55314, 51244, 61090, 68109, 53956, 51790, 50438, 51596, 51500, 56431, 51295, 50916, 51013, 50740, 50332, 51097, 64008, 51346, 50444, 56477, 50901, 51034, 51789, 51527, 50739, 50291, 51189, 51315, 51896, 50965, 51977, 55314, 50974, 50740, 50336, 50905, 76401, 54994, 55831, 51295, 50899, 51896, 67931, 56307, 55521, 51514, 50303, 51196, 64995, 51145, 50432, 53136, 72600, 51606, 51227, 55521, 51896, 50965, 51013, 50740, 50336, 51003, 78415, 65346, 55831, 51364, 51034, 51789, 56073, 50739, 50292, 67899, 51896, 50916, 51356, 56336, 50901, 50740, 50332, 50901, 76401, 52382, 50420, 56431, 51336, 50916, 51336, 50740, 50332, 55035, 56431, 51336, 51026, 51196, 56336, 78787, 53091, 55122, 56431, 51364, 50916, 51013, 50740, 50332, 51353, 50444, 56431, 53002, 50916, 51343, 50740, 50332, 52122, 51034, 78098, 51274, 51315, 51896, 50951, 51364, 55314, 50901, 50740, 50347, 57437, 54240, 51364, 50876, 51685, 50740, 50340, 53890, 53091, 51364, 50916, 51336, 50740, 50332, 52122, 50432, 53807, 55122, 51752, 51290, 53091, 51364, 50876, 51933, 50740, 50340, 51003, 61090, 67645, 54240, 51364, 50861, 53073, 50740, 50335, 50901, 51034, 51606, 52369, 50739, 50294, 51274, 51120, 51364, 50871, 51343, 53679, 50901, 50740, 50333, 50901, 78415, 59047, 55831, 52122, 50899, 51896, 67931, 56307, 54963, 51295, 51027, 51196, 57756, 51145, 50432, 53956, 55306, 54963, 51353, 50871, 51013, 50740, 50333, 61112, 55831, 52122, 51034, 51596, 51661, 60607, 74911, 51896, 50877, 51343, 57756, 50974, 50740, 50337, 50905, 64008, 51413, 50420, 54963, 53651, 50871, 51364, 50740, 50333, 56307, 53956, 61566, 51196, 67931, 51145, 50432, 53136, 51790, 50438, 51606, 51603, 53956, 51295, 50877, 51013, 50740, 50337, 51097, 78415, 71493, 54963, 53454, 51034, 51789, 51454, 50739, 50292, 51189, 51085, 51896, 50877, 51343, 53465, 50974, 50740, 50337, 50905, 76401, 72929, 56431, 51790, 50916, 51364, 50740, 50332, 52337, 50426, 51752, 54527, 53956, 51295, 51085, 51336, 53465, 51244, 61090, 53380, 50432, 53091, 51790, 50438, 53956, 51295, 50876, 51336, 50740, 50340, 61112, 56431, 52122, 51034, 78534, 51189, 51279, 51896, 50876, 51364, 52684, 50974, 50740, 50340, 58879, 56477, 78704, 51274, 50740, 50333, 53770, 54963, 51295, 51027, 51336, 57756, 51244, 50432, 53091, 51790, 50438, 54963, 52122, 50871, 51013, 50740, 50333, 61112, 56477, 51790, 50900, 51343, 66789, 50905, 51034, 51596, 52097, 50739, 50294, 51519, 50294, 51364, 50906, 51343, 53679, 50974, 50740, 50338, 50905, 64008, 51291, 50420, 55831, 52122, 50871, 51364, 50740, 50333, 56307, 58241, 51790, 50997, 51336, 59601, 51244, 50432, 53136, 50901, 50437, 51596, 51054, 64008, 52424, 50906, 51013, 50740, 50338, 61112, 55831, 52122, 51034, 51752, 51661, 50739, 50292, 51189, 51085, 51364, 50916, 51343, 53465, 50974, 50740, 50332, 51662, 61090, 51413, 50420, 56431, 51183, 50916, 53002, 50740, 50332, 52337, 50426, 56431, 51692, 51026, 51336, 56336, 51244, 50432, 53091, 55306, 52315, 50980, 56431, 52122, 50916, 53002, 50740, 50332, 52337, 57389, 51346, 50444, 56431, 52122, 51034, 51752, 53898, 60607, 51364, 51027, 51358, 50877, 51364, 57756, 50974, 50740, 50337, 50905, 61090, 53363, 50420, 54963, 51264, 50871, 50983, 50740, 50333, 56307, 53956, 72136 ]

[ 0, 250, 15352, 30054, 8, 1372, 3495, 2214, 19, 10, 2842, 9, 3152, 6, 4246, 10, 25044, 139, 10170, 1499, 6, 31391, 1672, 9590, 6, 8, 21072, 6, 278, 11, 10, 132, 73, 306, 86, 6543, 23, 10, 7212, 20889, 9, 1814, 741, 1685, 6, 24826, 198, 5, 33215, 16739, 9, 83, 6, 211, 119, 6, 230, 6, 8, 274, 6, 61, 35315, 1328, 5, 2214, 6, 2351, 41, 20425, 8, 1313, 16464, 19, 10, 11602, 9, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50423, 53326, 57550, 52635, 75104, 53346, 54154, 53326, 60085, 52635, 50940, 50437, 53346, 50858, 51057, 53326, 50813, 53346, 50808, 53539, 50833, 52635, 50921, 51137, 51505, 50801, 59515, 70374, 53326, 57780, 59970, 50855, 54174, 53104, 50611, 59182, 53915, 50859, 53326, 60724, 53346, 50870, 53539, 54447, 50957, 50612, 52227, 51060, 50422, 59970, 50890, 54174, 50821, 52635, 55747, 51137, 53277, 50611, 52773, 71201, 53326, 50809, 53346, 50859, 52860, 50859, 53539, 50821, 52635, 58216, 51526, 54065, 56028, 51421, 52390, 64977, 59970, 50809, 54174, 50887, 53346, 56274, 51845, 58607, 52979, 52686, 51684, 55968, 50957, 50612, 52218, 59553, 57775, 53346, 52262, 51845, 59321, 52860, 50890, 51057, 52635, 50863, 55883, 50834, 54343, 50835, 51181, 66363, 51044, 56028, 60549, 51421, 51049, 52218, 68868, 51060, 50416, 52979, 54745, 54174, 59905, 59182, 52635, 50883, 55883, 50884, 54343, 50880, 57843, 50890, 51039, 50869, 50612, 52227, 71587, 54174, 50828, 52979, 50828, 54535, 57851, 51181, 64717, 52773, 71201, 52635, 50825, 52860, 53950, 51640, 51575, 56028, 51421, 52390, 51060, 50428, 54174, 50809, 52979, 54056, 52979, 53104, 50611, 58607, 52635, 50884, 55883, 50884, 57843, 50841, 54535, 50840, 54343, 54053, 51349, 51575, 50869, 50612, 52218, 55220, 74891, 54174, 50841, 52979, 54665, 52860, 50940, 51845, 50809, 51057, 52635, 50870, 52979, 50812, 51181, 51575, 56028, 51421, 52218, 66139, 54535, 54745, 52979, 50820, 54174, 57899, 59182, 52635, 50884, 55883, 50884, 54343, 50883, 57843, 50884, 52635, 50821, 51039, 50957, 50612, 52227, 51060, 50422, 54174, 50837, 52979, 50836, 52860, 67761, 51181, 50386, 52486, 52773, 71201, 53346, 52450, 52635, 50835, 51640, 51575, 56028, 51421, 52390, 64977, 52979, 53847, 52979, 51004, 54174, 64717, 58607, 54535, 50812, 53326, 50827, 51349, 55214, 52635, 50883, 55883, 50883, 54343, 50883, 57843, 51041, 50957, 50612, 52218, 59553, 57775, 52979, 50809, 52979, 53660, 54174, 71517, 59321, 52635, 72017, 50887, 51057, 51137, 51575, 56028, 51421, 52218, 51060, 50416, 54174, 50837, 53326, 50834, 53346, 60851, 51845, 59182, 52635, 50895, 53539, 50846, 57843, 50834, 56313, 68709, 50869, 50612, 52227, 71587, 54174, 50891, 54469, 50928, 53326, 50870, 52979, 50829, 53346, 50809, 53210, 55081, 51137, 50387, 52486, 52773, 71201, 53210, 51258, 52635, 50818, 53539, 50825, 56313, 50835, 53062, 55640, 51526, 54065, 56028, 51421, 52390, 51060, 50428, 54174, 50841, 53915, 50834, 53326, 50809, 77888, 52635, 55658, 51845, 58607, 52635, 50961, 53539, 50883, 54343, 50825, 57843, 50883, 53210, 50887, 56313, 50880, 78491, 51361, 50869, 50612, 52218, 55220, 74891, 54174, 50820, 53326, 50813, 53346, 73691, 75339, 53210, 50359, 51462, 58291, 52635, 50812, 51057, 52635, 50835, 51137, 58568, 56028, 51421, 52218, 66139, 53210, 59176, 54174, 50834, 53326, 50887, 53346, 79468, 59182, 52635, 50895, 53539, 50884, 56313, 50818, 57843, 50895, 53539, 50897, 51039, 50957, 50612, 52227, 51060, 50422, 53062, 65647, 54174, 50841, 53326, 50880, 53346, 63356, 50386, 52486, 52773, 71201, 53915, 52450, 52635, 50867, 51910, 58568, 56028, 51421, 52390, 64977, 54174, 50870, 53326, 50864, 53210, 50836, 52635, 55730, 53539, 58452, 58607, 52635, 50949, 53539, 50884, 52860, 50880, 58013, 50836, 57843, 56629, 51684, 56832, 50957, 50612, 52218, 59553, 57775, 53326, 50820, 53210, 50884, 52635, 53660, 51845, 59321, 52860, 50886, 53915, 51175, 51057, 51338, 54065, 56028, 51421, 52218, 51060, 50416, 53539, 50982, 53326, 58671, 56114, 66678, 59182, 52860, 50895, 53915, 50840, 53539, 71813, 50869, 50612, 52227, 71587, 56114, 50809, 53326, 56037, 51727, 50837, 51338, 50384, 52486, 52773, 71201, 52860, 52992, 51533, 51575, 56028, 51421, 52390, 51060, 50429, 56114, 50818, 53326, 50825, 53915, 67543, 58607, 52860, 50895, 53915, 50846, 53915, 50809, 53539, 50880, 55954, 53695, 51137, 53734, 50869, 50612, 52218, 55220, 74891, 56114, 50884, 53326, 50867, 52635, 61023, 51845, 58291, 52635, 50862, 52635, 50930, 51057, 51181, 54065, 56028, 51421, 52218, 66139, 54174, 50846, 54535, 50870, 54343, 50863, 52979, 58093, 52860, 66112, 59182, 52635, 50883, 55883, 50884, 54343, 50961, 57843, 50895, 52860, 68709, 50957, 50612, 52227, 51060, 50422, 54174, 72017, 50961, 52979, 53467, 51181, 50386, 52486, 52773, 71201, 52635, 50820, 53346, 52422, 51640, 52964, 56028, 51421, 52390, 64977, 52979, 55212, 54174, 50836, 52979, 63874, 58607, 52635, 50895, 55883, 50884, 57843, 50884, 54343, 50880, 52979, 50882, 79646, 51361, 50957, 50612, 52218, 59553, 57775, 53326, 50883, 54174, 50809, 52979, 56788, 51845, 59321, 52635, 50829, 52635, 50950, 53539, 50882, 56313, 50882, 53326, 50865, 51137, 50921, 51057, 53326, 52259, 65209, 50821, 50416, 53326, 50864, 53346, 66182, 54174, 50884, 54343, 50846, 53326, 50855, 53346, 50857, 52635, 51010, 53539, 50930, 56313, 50930, 57843, 57188, 53326, 50894, 52635, 50894, 53539, 50894, 56313, 50882, 51137, 53235, 64257, 76237, 53326, 57550, 52635, 50821, 50428, 53346, 78881, 53326, 59979, 52635, 51014, 50437, 53346, 50384, 58934, 51291, 61234, 53326, 59182, 53915, 66685, 52635, 50882, 50425, 52860, 50858, 50428, 53346, 58812, 52979, 78116, 53346, 63892, 54174, 50880, 54535, 50887, 52979, 50890, 52635, 51010, 55883, 50962, 54343, 51010, 57843, 51010, 52860, 50894, 53424, 50950, 54343, 50894, 57843, 50950, 55883, 51014, 51181, 51045, 51057, 51728, 52054, 50882, 50419, 54174, 50930, 54535, 50890, 52979, 50930, 52635, 51010, 55883, 50882, 55883, 50882, 54343, 50894, 57843, 50894, 57843, 58609, 54174, 50882, 52979, 50858, 53424, 50894, 54343, 50882, 51181, 53056, 64257, 57625, 54535, 53244, 52860, 58129, 52979, 67803, 54535, 68066, 52860, 50921, 51057, 52979, 56624, 54535, 51835, 52635, 66553, 52860, 56382, 53346, 62549, 52979, 70328, 53326, 62408, 52979, 77451, 53346, 50882, 51057, 54174, 50840, 53326, 50836, 53346, 50887, 52635, 50930, 53539, 50809, 56313, 50890, 57843, 50880, 53326, 50882, 52635, 50894, 53539, 50821, 56313, 50882, 57843, 50894, 51137, 51045, 51728, 52054, 55446, 54174, 50809, 53326, 50890, 53346, 50880, 52635, 51010, 53539, 50890, 56313, 50930, 57843, 50930, 53326, 50859, 52635, 50950, 53539, 50894, 56313, 50882, 57843, 50894, 51137, 51014, 52723, 52054, 76237, 53210, 50910, 50425, 53062, 50925, 50428, 52635, 50952, 50431, 53210, 59979, 53210, 52611, 53062, 59321, 52635, 50808, 51057, 51137, 54065, 53837, 54005, 66139, 53210, 59176, 51845, 59182, 52635, 50895, 53539, 50818, 58013, 50809, 57843, 57242, 53539, 51594, 50957, 50612, 52227, 51060, 50422, 53210, 50813, 53062, 65647, 53326, 50867, 51137, 50386, 52486, 52773, 71201, 53915, 53950, 52635, 50813, 51910, 51575, 56028, 51421, 52390, 64977, 52635, 55104, 54174, 50837, 53326, 50874, 53210, 79678, 58607, 53539, 50884, 52635, 50930, 57843, 50930, 52860, 50894, 58013, 50808, 52474, 50839, 51684, 50917, 51361, 50957, 50612, 52218, 59553, 57775, 54174, 50833, 53326, 50810, 53210, 50833, 52635, 56966, 51845, 59321, 53915, 51427, 51057, 51338, 54065, 56028, 51421, 52218, 51060, 50417, 53326, 67255, 59748, 56114, 61132, 52860, 50884, 53915, 50855, 53539, 50836, 51039, 50869, 50612, 52227, 71587, 56114, 50846, 53326, 53991, 51338, 50387, 52486, 52773, 53244, 52860, 50837, 51533, 51575, 56028, 51421, 52390 ]

[ 0, 250, 20902, 11057, 8859, 19, 10, 1619, 27456, 6, 4246, 10, 11577, 20535, 2810, 9, 326, 5638, 18026, 6, 32909, 6, 8, 31365, 6673, 6909, 6, 2800, 30, 41, 21979, 9590, 4, 20, 2214, 11498, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 25451, 11, 5, 762, 9, 163, 428, 538, 19, 41, 28339, 33215, 16739, 14, 1171, 230, 10431, 37152, 6, 272, 119, 406, 6, 211, 119, 406, 428, 245, 6, 272, 406, 6, 8, 230, 119, 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 ]

[ 59626, 50843, 51031, 55057, 56262, 50843, 51031, 63262, 51031, 67746, 56385, 50843, 51031, 64934, 51060, 51744, 51060, 51579, 51060, 53147, 51060, 52135, 50967, 51652, 71822, 51111, 50415, 51140, 51055, 52058, 50967, 51866, 50967, 53084, 50967, 52228, 50967, 52491, 59958, 59935, 51641, 50800, 51509, 50800, 52264, 50800, 52629, 50800, 52194, 50800, 52185, 50830, 51643, 50830, 51978, 60809, 51968, 50800, 52377, 50800, 52608, 58821, 50816, 56519, 69278, 50903, 62864, 51345, 50856, 59453, 68686, 51641, 50830, 51509, 50830, 52264, 50830, 52629, 50830, 51968, 50830, 52377, 50830, 52194, 50865, 52608, 50865, 51978, 55941, 53439, 52185, 50830, 51643, 53402, 51522, 61785, 50952, 50439, 51947, 50991, 51702, 50991, 52377, 50991, 52185, 51112, 51831, 51112, 52394, 51291, 52608, 51291, 50440, 51431, 50967, 51641, 50967, 51509, 50967, 52264, 59323, 74320, 51431, 50795, 51641, 50795, 51509, 50795, 52264, 50795, 51947, 51060, 52377, 51060, 50903, 54972, 51345, 50856, 62468, 68343, 51702, 77852, 52211, 50830, 51431, 50830, 51485, 50830, 51509, 50830, 53542, 50809, 51702, 51740, 60381, 57326, 52058, 50809, 54204, 51160, 53636, 50421, 52228, 50865, 51978, 69904, 52211, 51161, 51431, 51161, 51509, 51161, 51485, 68110, 55892, 75177, 51702, 51161, 53542, 51161, 52058, 51161, 52185, 50865, 51643, 51620, 51261, 51055, 51633, 50967, 52656, 50967, 50903, 71541, 51238, 51236, 50910, 50427, 51643, 51060, 51978, 74891, 52185, 50865, 51643, 50865, 52228, 50830, 51978, 53661, 54336, 52877, 51389, 51055, 51633, 51060, 52656, 51060, 50439, 51643, 50795, 51978, 59830, 51493, 50883, 51643, 50865, 52200, 50865, 51978, 50830, 52656, 55941, 65835, 50903, 56060, 51261, 50980, 51633, 50967, 51993, 50967, 52656, 70264, 51215, 51240, 67509, 52380, 51060, 50457, 51493, 50883, 51140, 61765, 52185, 50865, 51643, 50830, 52228, 50830, 51978, 53071, 51388, 52356, 51354, 51240, 50855, 54204, 51160, 52314, 51060, 52067, 51060, 51744, 51060, 55078, 64194, 78346, 52384, 51060, 52148, 51060, 54006, 51060, 50421, 51273, 50883, 51493, 59013, 51579, 50865, 52336, 50865, 51721, 50830, 51633, 50800, 51978, 50865, 51979, 61456, 51509, 50865, 53954, 50830, 51702, 50865, 52178, 50865, 52488, 50830, 72130, 56519, 51261, 78686, 51345, 50856, 61150, 50952, 50903, 51014, 50433, 51702, 50830, 52488, 50830, 52178, 56080, 51579, 50830, 52336, 50830, 51509, 50830, 53954, 50830, 51721, 50830, 51633, 50830, 51978, 50830, 51979, 55941, 54077, 51098, 50980, 52058, 50991, 52178, 51112, 50856, 50924, 50439, 51509, 50991, 51579, 50991, 51485, 50991, 52336, 50991, 51866, 51112, 51721, 51291, 51652, 51291, 51978, 51291, 52228, 51291, 50450, 69278, 51509, 51060, 51579, 51060, 51485, 51060, 52058, 50865, 51866, 50865, 52178, 57429, 54972, 61785, 61369, 65170, 52336, 59831, 51723, 50830, 51485, 50830, 51744, 50830, 51579, 50830, 52339, 50865, 52384, 50865, 51866, 57700, 56093, 50810, 53788, 61785, 73489, 52376, 50865, 51652, 61456, 53628, 50830, 52228, 51620, 51984, 78686, 67013, 59608, 50924, 50903, 51021, 50427, 51721, 50795, 51652, 50865, 52491, 50967, 52228, 64760, 51721, 50865, 52226, 50865, 51978, 55941, 53439, 51979, 53402, 51150, 51167, 51643, 50967, 52491, 78576, 50924, 50439, 51721, 51060, 51979, 59830, 51273, 50883, 51652, 50800, 51721, 50800, 53580, 50800, 52491, 53484, 51098, 51160, 52376, 51060, 52185, 51060, 53628, 55992, 76431, 68147, 63653, 53580, 50865, 50903, 61046, 51273, 56153, 56093, 62923, 52488, 50991, 53202, 51055, 53954, 50967, 51744, 50967, 51579, 50967, 53147, 50967, 52384, 50967, 53084, 50967, 52135, 51060, 51633, 51060, 52491, 71822, 53412, 78346, 51979, 71587, 51273, 50883, 51493, 50883, 51978, 50800, 52656, 52296, 51509, 50865, 52264, 50865, 52629, 50865, 55558, 50865, 51702, 50830, 52194, 50830, 53397, 50830, 51643, 50800, 52200, 60809, 50816, 56519, 69278, 50903, 53766, 52990, 58251, 53230, 51978, 50830, 52656, 56080, 52629, 50830, 51509, 50830, 52264, 50830, 55558, 50830, 51702, 50830, 52194, 50830, 53397, 50830, 51643, 50830, 52200, 55941, 53442, 51522, 50980, 51968, 51112, 52377, 51112, 52194, 50991, 52608, 51048, 51978, 56053, 57014, 51509, 51048, 52264, 51048, 51641, 51048, 52629, 51048, 52185, 50967, 51643, 60866, 74320, 51947, 50795, 51702, 50795, 52377, 50795, 51831, 51060, 52185, 51060, 52394, 51060, 52608, 51060, 50903, 51695, 52990, 55399, 57150, 51641, 50795, 51509, 50795, 51431, 50795, 52264, 59831, 51509, 50865, 52264, 50865, 51641, 50830, 51968, 50830, 52377, 50830, 52194, 50830, 52185, 50800, 51643, 50830, 52608, 50800, 51978, 51740, 56093, 54943, 52629, 50830, 60200, 61785, 61553, 51978, 51091, 52656, 51091, 50422, 51509, 51091, 52264, 51091, 52629, 51091, 51702, 50807, 52194, 50807, 53397, 50807, 51643, 50983, 52200, 51091, 50423, 55558, 65183, 74320, 50843, 52990, 58251, 64654, 50949, 54127, 52742, 51261, 51055, 53179, 71822, 59901, 51898, 50865, 51431, 50865, 51641, 50865, 52314, 50795, 53093, 50795, 51968, 50795, 52698, 50795, 52200, 50795, 52172, 50967, 52380, 51060, 50446, 53437, 50800, 51898, 50800, 51431, 50800, 51643, 50830, 52200, 58726, 51641, 50800, 51947, 50809, 55870, 50809, 51968, 50800, 52172, 50830, 52891, 53484, 51261, 50980, 51633, 51060, 51993, 64918, 52990, 56379, 56688, 52211, 51060, 52298, 51060, 51485, 51060, 51509, 51060, 52058, 50795, 51702, 50795, 53266, 50795, 52656, 51060, 53319, 51060, 50903, 56995, 52039, 50830, 51723, 50830, 51431, 50800, 51641, 50800, 55870, 50830, 51947, 50830, 51643, 50800, 52200, 51740, 56093, 54943, 51140, 50883, 51098, 50883, 51968, 50800, 51979, 50800, 71229, 60653, 51167, 52211, 51060, 52298, 51060, 51485, 51060, 53542, 50967, 51633, 50967, 51993, 50967, 53319, 51060, 52656, 64194, 59540, 56868, 51509, 51060, 52058, 51060, 51702, 51060, 50422, 51140, 55133, 51493, 50883, 55870, 50809, 51947, 50809, 51968, 50800, 51643, 50800, 52200, 50800, 52891, 50830, 52172, 53373, 79286, 53437, 50809, 51898, 50809, 51431, 50809, 51641, 51620, 51389, 51055, 50903, 53766, 52990, 58251, 61251, 51643, 50807, 52200, 51091, 50434, 51273, 50883, 51493, 50883, 53266, 51358, 51947, 51358, 51968, 51036, 52436, 51048, 50856, 53404, 64917, 52039, 51358, 51723, 52045, 51431, 52045, 51641, 51036, 51979, 51048, 57385, 78678, 59484, 51273, 50883, 51493, 50883, 51643, 50865, 52380, 55178, 69278, 50903, 51695, 52990, 55399, 57150, 51721, 51060, 52436, 50865, 54820, 56093, 50846, 53202, 50980, 52334, 51036, 51947, 50918, 53456, 50918, 51652, 50967, 51979, 71822, 60480, 51978, 58218, 51831, 51620, 51150, 50980, 50843, 52990, 58251, 64654, 65341, 52832, 66881, 52394, 57700, 57514, 51579, 56039, 51261, 50980, 53456, 50918, 52058, 50918, 52339, 50918, 54641, 50918, 50856, 59901, 53628, 50918, 50447, 51140, 50883, 51098, 53711, 51389, 51167, 50903, 51695, 52990, 56379, 58323, 51140, 52893, 56093, 50846, 60653, 51055, 51756, 51576, 50856, 53087, 69278, 52280, 54249, 50903, 53766, 52990, 58251, 50884, 54127, 53442, 74320, 52522, 71822, 57014, 51667, 50967, 54727, 50967, 52228, 69127, 51721, 50830, 52394, 50800, 52608, 58726, 51652, 51757, 52770, 51060, 51652, 50967, 53628, 50967, 50903, 51695, 52990, 55399, 57150, 52078, 51055, 52394, 64603, 52770, 50865, 54512, 50800, 53628, 51740, 56093, 54943, 52832, 50830, 60200, 51055, 51652, 50967, 56404 ]

[ 0, 250, 182, 765, 37903, 9, 5175, 930, 11, 274, 10431, 538, 6, 4246, 10, 881, 33215, 13931, 9, 274, 10431, 6, 163, 43531, 406, 6, 8, 230, 10431, 73, 534, 10431, 6, 702, 23, 10, 182, 1769, 20889, 11, 204, 73, 306, 86, 6, 7630, 14805, 10, 3344, 9, 20425, 6, 15352, 30054, 6, 8, 25306, 6711, 29, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50956, 52115, 51324, 51631, 50956, 51736, 51001, 51646, 51324, 51918, 50956, 51798, 50931, 51923, 51324, 50795, 57126, 52115, 51197, 51631, 50989, 51736, 51114, 51646, 51197, 51918, 51114, 51798, 51028, 51923, 51197, 50795, 57126, 52115, 51360, 51631, 50989, 51736, 51028, 51646, 51360, 51918, 50989, 51798, 50906, 51923, 51360, 50795, 57126, 52115, 51360, 51631, 50989, 51736, 51028, 51646, 51360, 51918, 50989, 51798, 50906, 51923, 51360, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 765, 6, 1769, 12, 20764, 5175, 37903, 11, 272, 538, 6, 4246, 10, 15352, 30054, 13305, 516, 81, 10, 881, 21263, 9, 5, 33215, 16739, 211, 6, 163, 119, 406, 6, 272, 6, 211, 6, 163, 119, 406, 6, 2351, 41, 20425, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 58375, 51085, 60692, 72355, 52115, 51120, 61441, 79594, 51631, 51026, 72674, 51220, 52262, 51026, 72674, 50951, 51820, 51026, 72674, 50951, 51757, 51120, 56931, 61907, 50795, 54868, 61441, 72355, 51835, 51120, 61441, 79594, 51620, 51315, 57341, 57022, 53505, 51315, 69856, 59304, 52444, 51315, 59065, 72355, 51820, 51120, 69584, 77101, 52555, 51085, 58035, 55648, 50795, 53997, 60692, 72355, 52115, 51120, 61441, 79594, 51631, 51026, 72674, 51220, 52262, 51026, 72674, 50951, 51820, 51026, 72674, 50951, 51757, 51120, 61441, 50800, 51114, 51754, 51120, 61441, 50800, 68631, 54868, 61441, 72355, 51835, 51120, 61441, 79594, 51620, 51315, 57341, 57022, 53505, 51315, 69856, 59304, 52444, 51315, 59065, 72355, 51820, 51120, 69584, 77101, 52555, 51085, 58035, 79564, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 8787, 3152, 8, 5175, 24904, 2125, 6, 278, 11, 5, 762, 9, 272, 538, 6, 1931, 21683, 10, 15352, 30054, 8, 33558, 13569, 9862, 4, 590, 10, 7212, 20889, 9, 5663, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 1575, 10, 5544, 14123, 24943, 217, 2342, 4467, 6, 13305, 6, 3459, 9590, 6, 18558, 6, 8, 32909, 4, 20, 15229, 5705, 29769, 198, 5, 33215, 16739, 9, 272, 6, 163, 119, 6, 8, 230, 6, 8216, 7, 63, 17627, 17274, 8, 2365, 12, 6928, 16464, 6, 19, 12405, 17878, 9, 10, 12298, 1619, 4780, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 67548, 52500, 51434, 53435, 51607, 53435, 50964, 51472, 67625, 51021, 52033, 52250, 51615, 52250, 51711, 51307, 51335, 54005, 51139, 73628, 54183, 51089, 74716, 50880, 51092, 51864, 60628, 75090, 50928, 74121, 55212, 51089, 74716, 50880, 51092, 52153, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51472, 51089, 72200, 72738, 53287, 51139, 79496, 74096, 60628, 54525, 51089, 74716, 50880, 51092, 51864, 50928, 51382, 74831, 76419, 60628, 52881, 51089, 50895, 51020, 50883, 51092, 51041, 56232, 70429, 51089, 74716, 50880, 51092, 51864, 60628, 50841, 67548, 52392, 51434, 52500, 51808, 53435, 51019, 51472, 69492, 51021, 52187, 51359, 52321, 73628, 54183, 51089, 50859, 67173, 51208, 51508, 60628, 75090, 50928, 74121, 55212, 51089, 63242, 50890, 51208, 50930, 52622, 51361, 60628, 78651, 50367, 52388, 52565, 51019, 51294, 51089, 70424, 50962, 51208, 54441, 51139, 79496, 74096, 60628, 54525, 51089, 74716, 50890, 51208, 51864, 50928, 51382, 74831, 54944, 50964, 52304, 60628, 52881, 67482, 51089, 64407, 50880, 51208, 51864, 56232, 51019, 76681, 62905, 69901, 52207, 60628, 50841, 72721, 51941, 51440, 53435, 51607, 52392, 50945, 51291, 63770, 51021, 51743, 51036, 51711, 51717, 52321, 56868, 51656, 52644, 51402, 54183, 61012, 51023, 50821, 51092, 51508, 60628, 75090, 50928, 74121, 55212, 51061, 69639, 50880, 51092, 51508, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50945, 51336, 51061, 69639, 50821, 51092, 53287, 51139, 79496, 74096, 60628, 54525, 61012, 51023, 50880, 51092, 51864, 50928, 51382, 74831, 76419, 60628, 52881, 51061, 69015, 50880, 51092, 52207, 56232, 51061, 66578, 65889, 51421, 60628, 50841, 50799, 51944, 51226, 51440, 51226, 51607, 51294, 51213, 51336, 63770, 51021, 52332, 50918, 52321, 73628, 54183, 51268, 50821, 51023, 50821, 51092, 52189, 60628, 75090, 50928, 74121, 55212, 51268, 69015, 65889, 51421, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 51515, 51356, 51434, 51196, 51607, 51196, 50953, 51472, 63770, 51021, 51061, 51196, 51020, 51527, 51092, 51196, 51615, 51103, 51743, 51103, 52321, 79496, 74096, 60628, 50839, 51618, 50928, 51382, 74831, 76419, 60628, 50841, 51453, 50928, 51621, 60628, 50841, 67548, 51226, 51434, 51573, 51607, 51573, 50964, 51291, 51615, 51359, 51711, 51103, 52033, 51036, 51335, 54005, 51139, 73628, 54183, 51089, 72200, 74718, 52304, 60628, 75090, 53098, 51565, 52764, 51139, 55212, 51686, 78755, 64407, 72738, 52207, 50928, 51361, 60628, 53908, 70429, 52156, 50925, 53510, 52388, 52565, 51660, 51091, 51434, 51573, 51808, 51573, 51019, 51336, 51089, 72200, 50880, 51208, 54441, 51139, 59575, 52187, 51103, 50441, 51673, 50910, 52622, 51180, 60628, 54525, 52156, 50910, 51089, 74158, 50890, 51208, 51864, 50928, 51382, 74831, 54944, 51565, 51049, 60628, 52881, 51089, 62905, 70377, 51864, 56232, 51686, 51933, 51089, 64379, 72019, 51421, 60628, 50841, 72721, 51585, 51440, 51585, 51607, 51585, 50945, 51291, 52321, 56868, 51711, 51717, 51743, 52149, 51656, 52122, 51402, 54183, 51061, 66578, 74718, 52304, 60628, 75090, 50928, 74121, 55212, 51061, 59869, 65889, 52304, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50945, 51364, 51061, 59869, 65889, 53672, 51139, 79496, 74096, 60628, 54525, 51061, 66578, 74718, 51421, 50928, 51382, 74831, 76419, 60628, 52881, 51515, 50800, 51773, 50859, 51669, 50821, 61197, 66453, 50894, 51061, 73818, 50884, 51092, 51421, 56232, 58883, 51061, 69345, 66146, 52217, 60628, 50841, 72721, 52392, 51440, 52500, 51607, 52536, 50945, 51472, 63770, 55024, 51139, 56868, 52171, 50859, 51402, 68419, 52433, 52871, 51061, 55457, 65889, 52207, 60628, 75090, 65152, 52433, 50879, 74121, 55212, 51061, 59869, 72738, 51421, 66221, 51886, 50809, 51361, 60628, 53908, 51886, 51091, 53510, 52388, 52565, 50945, 51336, 51061, 69639, 65889, 53672, 51139, 79496, 74096, 60628, 54525, 51673, 72677, 67357, 65889, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51061, 62194, 62737, 51421, 56232, 51061, 59869, 65889, 52675, 60628, 58660, 51673, 50795, 67548, 51585, 51434, 52369, 51607, 51585, 50964, 51472, 52033, 52250, 51615, 52149, 52321, 73628, 54183, 51789, 50910, 51089, 63242, 74718, 52207, 60628, 54446, 51565, 51896, 52622, 74121, 55212, 51089, 74158, 74718, 52304, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51472, 51089, 74158, 72738, 52773, 51139, 79496, 74096, 60628, 54525, 51089, 72200, 50880, 51092, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51774, 50859, 51515, 50821, 51440, 50821, 71465, 50894, 51089, 50818, 51020, 71701, 52304, 56232, 51089, 74158, 68129, 51421, 60628, 50841, 66629, 51036, 51660, 51036, 51434, 51469, 50964, 51472, 67625, 55024, 51139, 73628, 54183, 51089, 63242, 72738, 52207, 60628, 75090, 53098, 52433, 51238, 59425, 55212, 51089, 50808, 51020, 65889, 51421, 50928, 51361, 60628, 53908, 51886, 51421, 50367, 52388, 52565, 50964, 51294, 51886, 51364, 51089, 74158, 72738, 53672, 51139, 79496, 74096, 60628, 54525, 51089, 63242, 72738, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 75108, 51673, 50910, 51089, 68204, 50884, 51092, 51135, 56232, 64628, 52156, 59494, 74158, 68129, 51421, 60628, 50841, 67547, 50795, 51434, 51192, 51808, 51192, 50953, 51472, 51881, 51717, 52321, 56868, 52187, 52149, 50417, 51596, 51420, 54183, 51083, 50808, 51020, 69901, 52153, 60628, 54446, 51606, 51358, 52622, 74121, 55212, 53876, 50862, 51083, 74158, 69901, 51421, 53962, 54797, 52873, 60628, 53908, 52257, 51420, 50367, 52388, 52565, 51669, 50828, 50953, 51364, 51083, 74158, 73817, 52773, 51139, 55757, 51607, 51421, 54485, 51808, 52675, 60628, 54525, 51434, 50812, 51083, 74158, 69901, 51421, 53430, 51614, 53497, 74831, 54944, 51434, 51187, 60628, 52881, 51614, 50830, 51434, 50940, 51607, 50921, 50964, 50887, 63770, 50962, 51083, 74158, 69901, 52207, 56232, 79072, 51083, 62106, 73817, 51421, 60628, 50841, 67547, 51696, 51515, 51469, 51808, 51469, 50953, 51291, 69492, 50894, 51743, 51036, 52321, 73628, 54183, 51083, 50858, 61012, 51208, 52189, 60628, 54446, 51596, 50867, 63201, 51596, 54047, 51139, 55212, 51789, 50859, 51083, 63218, 50890, 51208, 51049, 50928, 51361, 60628, 53908, 51606, 52189, 50367, 52388, 52565, 50953, 51336, 51083, 60213, 50890, 51208, 52218, 51139, 55757, 51565, 50830, 52622, 51180, 60628, 54525, 51606, 50859, 51083, 50859, 51061, 50880, 51208, 52189, 50928, 51382, 74831, 54944, 51565, 52189, 60628, 52881, 51083, 63218, 76590, 51421, 56232, 51606, 50849, 51083, 50862, 51061, 72019, 52217, 60628, 50841, 67548, 51941, 51434, 52369, 51607, 52369, 50964, 51472, 52321, 56868, 52033, 51492, 51615, 52250, 51711, 52122, 50417, 51789, 50952, 52622, 50420, 51089, 50808, 51020, 72738, 52189, 60628, 54446, 51565, 51336, 52622, 74121, 55212, 51089, 74158, 65889, 51421, 50928, 51361, 60628, 78651, 50367, 52388, 52565, 50964, 51364, 51089, 57133, 74026, 53841, 51139, 79496, 74096, 60628, 54525, 51089, 74158, 72738, 52304, 50928, 51382, 74831, 76419, 60628, 52881, 51515, 50821, 51440, 50894, 51607, 50821, 63657, 71465, 50894, 51089, 74158, 50884, 51092, 51421, 56232, 51011, 59494, 50855, 51020, 66146, 52217, 60628, 50841, 67548, 51036, 51434, 52208, 51607, 51469, 51133, 50918, 67625, 55024, 51139, 73628, 54183, 51089, 57133, 72738, 52304, 60628, 75090, 53098, 51673 ]

[ 0, 250, 19448, 15855, 2125, 4246, 41, 21979, 8669, 6, 278, 11, 5, 762, 9, 381, 538, 19, 10, 86, 6543, 9, 112, 73, 398, 4, 20, 2214, 3136, 23, 41, 178, 5285, 20889, 6, 7630, 14805, 10, 1472, 9, 11098, 8, 20183, 4, 20, 1049, 33215, 16739, 10726, 9, 163, 6, 381, 6, 83, 6, 8, 381, 6, 2351, 41, 11653, 8, 822, 12, 3341, 5466, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 57448, 50998, 52774, 50947, 50883, 52012, 51274, 51317, 51274, 50421, 51076, 57466, 51316, 51110, 50429, 51076, 52686, 74724, 50947, 51160, 52012, 51274, 50960, 51274, 50447, 51169, 53153, 51078, 52931, 58308, 52012, 51274, 51317, 51274, 75196, 50947, 51585, 50438, 50998, 51196, 50462, 61446, 70601, 58308, 50474, 51846, 51196, 50960, 51585, 50998, 51585, 75196, 51311, 53585, 51574, 51196, 50462, 51846, 50896, 56479, 58308, 50474, 51131, 51196, 51317, 51585, 50998, 51585, 75196, 51574, 53585, 51317, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 50947, 53585, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51274, 52012, 51585, 51317, 51585, 70814, 51078, 52247, 51169, 52309, 74724, 50998, 51196, 50462, 61446, 77389, 51316, 60814, 51316, 50896, 51846, 51196, 50998, 51196, 51540, 51076, 53765, 61446, 60511, 50947, 53585, 57360, 51311, 69562, 58308, 51169, 60306, 53092, 50896, 61446, 77389, 60511, 50474, 51574, 51196, 51078, 51196, 75196, 61446, 51136, 53585, 51846, 50896, 50998, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 63800, 50437, 51076, 54459, 50947, 54526, 51169, 60306, 60511, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 53794, 51169, 52931, 60183, 50462, 70696, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 57360, 50437, 51076, 53294, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 78019, 51316, 52322, 51292, 51196, 50462, 70601, 56767, 57360, 50474, 57360, 50960, 51196, 50476, 51078, 51285, 51540, 51067, 53765, 59364, 51786, 53585, 70601, 51574, 51196, 50947, 69562, 58308, 50462, 75193, 79655, 56479, 50468, 60183, 50474, 52012, 51585, 50960, 51585, 51076, 51585, 75196, 51131, 53585, 52012, 51196, 51317, 51196, 78963, 50474, 62569, 51540, 51316, 53765, 63800, 50437, 51076, 54459, 50947, 54526, 51169, 60306, 60511, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 53794, 51169, 52931, 60183, 50462, 70696, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 57360, 50437, 51076, 53294, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 78019, 51316, 52322, 51292, 51196, 50462, 70601, 56767, 57360, 50474, 57360, 50960, 51196, 50476, 51078, 51285, 51540, 51067, 53765, 59364, 51786, 53585, 70601, 51574, 51196, 50947, 69562, 58308, 50462, 75193, 79655, 56479, 50468, 60183, 50474, 52012, 51585, 50960, 51585, 51076, 51585, 75196, 51131, 53585, 52012, 51196, 51317, 51196, 78963, 50462, 58308, 50474, 50947, 51274, 52012, 51585, 50986, 51585, 50998, 51585, 70814, 51169, 52247, 50947, 53585, 51076, 51274, 51846, 51585, 50960, 51585, 50998, 51585, 50456, 60106, 50462, 63800, 50473, 51076, 50880, 50474, 55784, 51131, 51585, 50986, 51585, 50998, 51585, 50480, 70505, 51540, 50947, 52774, 51076, 52247, 51032, 52309, 51067, 52322, 51292, 60306, 51292, 60814, 51846, 51196, 50960, 51196, 51076, 51585, 75196, 51292, 51585, 50438, 51846, 51196, 50960, 51196, 51076, 51196, 50462, 51292, 60814, 51131, 51196, 51032, 51585, 50986, 51469, 75196, 51131, 53585, 57360, 52012, 51585, 50462, 50998, 51469, 50474, 50947, 51274, 51131, 51585, 50986, 51585, 70814, 51169, 52247, 50947, 53585, 51076, 51274, 51207, 51585, 50960, 51585, 50970, 51585, 50456, 55784, 50462, 51076, 60814, 60106, 50986, 51585, 50998, 51585, 50480, 51076, 50849, 51540, 51032, 52774, 51067, 52247, 51292, 52309, 51438, 52322, 51563, 60306, 51563, 52644, 50474, 51067, 52919, 75196, 57998, 78158, 50437, 51292, 54459, 51207, 51585, 50970, 51585, 51067, 51585, 50456, 60106, 50462, 51076, 60814, 50998, 51196, 51032, 51196, 75196, 50986, 53585, 51725, 51196, 50462, 64922, 51292, 60814, 51076, 51196, 51067, 51196, 75196, 56767, 63800, 51563, 50896, 50437, 51563, 54459, 51786, 51274, 78963, 51032, 51196, 50456, 68909, 50462, 56479, 64922, 51786, 60814, 50929, 51585, 50476, 51076, 51585, 50478, 51563, 51685, 51474, 50438, 51067, 51196, 50462, 56767, 63800, 51292, 60814, 50970, 51196, 78963, 51438, 51196, 75196, 59100, 57360, 51032, 53585, 50970, 51196, 78963, 51067, 51196, 50462, 59100, 57360, 51549, 60814, 50998, 51585, 50476, 51169, 51585, 50478, 51292, 51685, 51474, 50462, 51292, 60814, 51438, 51585, 75196, 51846, 50896, 56479, 51076, 53585, 51076, 51196, 51846, 51585, 50960, 51585, 50462, 62569, 51438, 60814, 51292, 51196, 75196, 61446, 57998, 50947, 53585, 51131, 51196, 50986, 51196, 78963, 50462, 65009, 57998, 58308, 51032, 60814, 50625, 51076, 51274, 73085, 50960, 51196, 50970, 51196, 51018, 50416, 51032, 56092, 51076, 59740, 50947, 59740, 51076, 61923, 51032, 52981, 51067, 52247, 79655, 57998, 58308, 50947, 53585, 51574, 50806, 62979, 54765, 51169, 52692, 52012, 51274, 50986, 51274, 50998, 51274, 50947, 51274, 75196, 51131, 53585, 52012, 51196, 50462, 58308, 50474, 50947, 50880, 52012, 51585, 51317, 51585, 50476, 79750, 50477, 51316, 51191, 70814, 51076, 52247, 50947, 53585, 50947, 51274, 52012, 51585, 50960, 51585, 50456, 70505, 50462, 60511, 50474, 50998, 51196, 52012, 51585, 51317, 51585, 75196, 50947, 51585, 50438, 50998, 51196, 50462, 61446, 58308, 50474, 51846, 50896, 50960, 51196, 50998, 51196, 51540, 51131, 53765, 65400, 56479, 50998, 53585, 79655, 50960, 51196, 50998, 69562, 52028, 60306, 51846, 50896, 56479, 58308, 50474, 51317, 51196, 50998, 51196, 51131, 51585, 75196, 50947, 53585, 50998, 51196, 50462, 58308, 50474, 51316, 51274, 52012, 51585, 51317, 51585, 70814, 51076, 52247, 50947, 53585, 51076, 50880, 52012, 51585, 50960, 51585, 50440, 50947, 67106, 51169, 64733, 50947, 61951, 51076, 54411, 50947, 72480, 51316, 64985, 51076, 67758, 50947, 63958, 51169, 50880, 50462, 51076, 50880, 50464, 50947, 50880, 50467, 51169, 50880, 50469, 50947, 50880, 50472, 51078, 50880, 50474, 50998, 51196, 52012, 51469, 51540, 70601, 50425, 51169, 53087, 51078, 51160, 56479, 50435, 50998, 52877, 51317, 51196, 50998, 51196, 50462, 61446, 77389, 51316, 60814, 58308, 51316, 50896, 51846, 51196, 51540, 51076, 53765, 61446, 60511, 50947, 53585, 57360, 51311, 69562, 51169, 60306, 53092, 50896, 61446, 77389, 60511, 50474, 51574, 51196, 51078, 51196, 75196, 61446, 51136, 53585, 51846, 50896, 50998, 51196, 50462, 58308, 50474, 62569, 51540, 51316, 53765, 51076, 53585, 51076, 52692, 50947, 52610, 51169, 52931, 60183, 50462, 55784, 50468, 57504, 50474, 50998, 51585, 75196, 51846, 50896, 65400, 50960, 53585, 51846, 51196, 51311, 51196, 50960, 51196, 50462, 58308, 50474, 58870, 50480, 51316 ]

[ 0, 250, 15352, 30054, 5175, 3495, 2214, 19, 10, 2365, 8, 1619, 619, 6, 4246, 3459, 8669, 6, 38668, 9590, 6, 21072, 6, 8, 2724, 368, 31365, 25999, 4, 85, 34, 10, 7212, 20889, 9, 8783, 741, 1685, 6, 16, 11, 5, 762, 9, 163, 428, 538, 6, 8, 3905, 10, 204, 73, 306, 86, 6543, 4, 20, 1049, 33215, 16739, 25935, 1626, 227, 12608, 8, 163, 428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 57530, 50796, 50796, 50799, 55526, 50800, 51334, 51650, 51594, 53504, 52556, 50859, 51674, 50809, 51772, 52227, 52871, 51334, 52189, 57625, 50689, 50271, 50836, 51334, 50882, 51334, 50991, 51674, 50800, 51772, 78362, 55526, 56776, 58465, 52556, 50800, 51674, 50859, 51772, 52189, 53917, 51408, 50879, 52066, 50435, 50689, 50271, 54405, 51049, 54584, 50689, 50271, 50879, 51209, 50911, 51334, 50911, 52031, 50911, 51772, 50911, 55313, 61618, 50852, 52597, 58426, 50805, 51408, 50805, 51256, 50805, 51390, 50805, 52066, 51618, 54988, 54913, 50879, 52031, 50889, 51209, 51090, 51408, 50889, 51209, 55506, 50882, 51647, 55346, 54048, 51421, 58361, 52490, 52207, 50907, 50799, 55526, 50890, 53008, 50859, 51674, 51012, 51334, 51362, 51772, 51362, 55313, 53504, 55526, 50836, 52066, 50420, 51674, 51594, 54347, 55526, 50828, 51674, 51427, 63349, 55526, 52467, 58465, 55526, 50809, 53008, 51437, 54150, 52999, 50879, 51390, 50890, 51408, 53960, 64338, 51256, 58970, 51976, 54362, 79026, 51209, 51090, 52031, 50889, 51408, 50889, 55313, 77907, 54478, 54048, 51421, 56325, 52490, 56034, 51757, 52490, 53543, 51594, 52794, 50453, 51408, 50830, 51209, 50830, 51772, 50830, 52066, 50456, 54048, 51421, 56860, 52490, 50890, 52066, 68615, 51158, 52031, 51012, 55313, 56025, 51334, 51417, 51674, 50983, 78594, 52031, 51594, 54347, 52490, 50809, 52031, 51653, 52066, 51302, 58465, 52490, 52675, 52749, 52401, 50836, 52031, 50879, 52068, 50435, 51976, 65598, 51674, 51797, 50438, 52490, 50821, 51334, 51432, 52031, 50912, 51893, 55572, 51594, 52831, 52031, 50950, 51892, 50444, 51390, 50911, 51893, 51916, 54803, 51893, 51051, 51674, 51022, 71330, 52031, 59359, 67979, 51209, 60554, 51209, 51074, 52066, 50454, 51408, 59593, 52999, 50904, 52068, 50459, 52401, 50855, 51408, 51022, 51209, 50984, 52066, 68615, 50887, 51772, 64211, 58197, 52490, 50809, 51408, 51345, 51209, 51073, 51772, 61883, 51779, 60845, 52490, 54472, 51550, 50418, 54048, 54218, 52462, 55207, 51269, 50421, 57986, 57625, 52490, 50887, 54223, 53933, 50882, 50424, 52999, 53850, 52462, 50426, 51408, 50859, 51209, 50859, 51772, 53104, 50572, 56998, 52490, 50808, 51772, 62522, 51550, 50429, 52999, 58331, 54048, 52773, 54092, 53917, 52490, 53745, 50572, 75405, 51209, 54597, 52794, 50436, 52999, 50817, 51408, 52773, 51907, 55381, 52490, 55855, 68749, 52490, 53543, 52794, 50441, 51408, 50830, 51209, 50830, 51772, 50830, 51224, 60295, 51209, 50830, 51772, 53661, 52462, 50444, 54048, 61189, 54048, 52773, 54092, 57674, 52490, 50384, 54936, 59550, 52490, 54078, 60205, 53185, 50879, 51209, 50889, 51772, 50889, 51408, 50889, 52031, 55506, 57465, 53185, 55855, 51779, 50882, 53061, 50803, 55350, 55084, 50456, 52960, 59567, 52960, 52467, 52567, 53185, 54078, 50882, 50460, 53185, 54078, 50811, 50799, 52436, 50849, 52490, 50890, 51408, 51121, 51209, 51121, 51772, 51121, 55313, 55456, 53504, 52490, 50833, 52066, 50420, 52436, 50892, 52068, 50423, 52490, 50890, 51408, 50901, 74255, 51772, 50901, 63349, 52436, 53543, 58465, 52490, 51421, 52749, 52436, 50859, 52401, 50840, 51408, 50901, 51772, 50901, 74255, 52068, 50435, 52436, 50991, 51976, 53269, 52999, 53841, 51594, 52831, 51408, 50808, 51209, 50808, 51772, 51582, 54478, 52436, 51370, 54803, 50689, 50271, 50904, 51408, 50836, 51772, 50836, 51209, 52217, 52848, 52401, 54732, 59574, 54223, 51044, 54622, 50689, 50271, 50810, 51408, 50809, 51772, 50809, 51209, 51421, 54678, 52608, 50854, 52066, 50799, 52608, 50873, 55526, 50879, 51674, 50889, 51334, 50889, 51772, 50889, 55313, 50800, 51402, 54718, 52608, 50901, 77012, 54347, 55526, 50890, 63349, 52608, 50854, 52999, 50879, 51390, 50889, 51256, 50889, 51408, 55506, 58465, 51978, 51370, 54150, 52293, 51421, 55632, 51979, 51336, 52999, 54020, 51049, 53269, 52490, 50890, 51408, 51162, 51209, 51124, 51772, 51162, 55313, 52831, 52490, 50836, 52066, 51180, 56325, 52490, 50828, 54223, 55702, 51757, 52490, 50809, 51408, 50859, 51772, 50859, 51209, 54047, 51594, 52794, 50453, 52490, 51421, 50851, 51453, 54678, 52608, 50882, 52490, 50890, 52066, 50799, 52436, 50911, 51408, 51336, 51209, 51336, 51772, 51336, 55313, 56025, 52490, 51030, 78594, 52436, 54065, 50882, 51510, 60809, 52490, 54392, 52436, 54780, 58465, 50852, 66142, 52490, 54937, 52436, 50859, 52401, 50836, 52066, 50435, 52436, 50991, 51976, 54584, 52490, 55024, 51594, 61618, 50852, 52597, 52436, 50879, 51209, 50809, 51408, 50809, 51772, 51421, 50851, 51618, 54988, 52436, 51427, 50804, 59574, 54223, 51406, 55346, 51408, 50887, 51209, 50887, 51772, 52304, 71529, 50689, 50271, 54359, 52608, 53097, 51049, 50907, 50799, 52608, 50879, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 50800, 78594, 52608, 50879, 77012, 55884, 55526, 50890, 63349, 52608, 50849, 52999, 50879, 51390, 50889, 51408, 50889, 51256, 55506, 71646, 54150, 51978, 50911, 52293, 51421, 55632, 52999, 54020, 51049, 53269, 52608, 51090, 52490, 52773, 51594, 52831, 54048, 50887, 51408, 50809, 51772, 50809, 51209, 51421, 50851, 51180, 56325, 52999, 79716, 50800, 69787, 51772, 52227, 51757, 52490, 56776, 51594, 52794, 50453, 54048, 50800, 51408, 50859, 51209, 50859, 51772, 50859, 52066, 50456, 52436, 51012, 52068, 50459, 52999, 51179, 50851, 50799, 52436, 50911, 54048, 54020, 51594, 53504, 54048, 50840, 52066, 50420, 52436, 50882, 54048, 50836, 51209, 79716, 50836, 51772, 50836, 52068, 50423, 52436, 51653, 54048, 50809, 51408, 50833, 51209, 50833, 51772, 50833, 52066, 51302, 58465, 54048, 50890, 79529, 73083, 51772, 51373, 54150, 52436, 51012, 52068, 50435, 54048, 50858, 51408, 50874, 51209, 50886, 51772, 55503, 51049, 53269, 52436, 50911, 55313, 52831, 52293, 50890, 79529, 73083, 51772, 51373, 53743, 52436, 51496, 52490, 79374, 50447, 51408, 51178, 51209, 51178, 51772, 67300, 74780, 50882, 51647, 54622, 51408, 50855, 51772, 50855, 51209, 50855, 52068, 76362, 50799, 52608, 50882, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 53504, 52608, 51427, 52066, 50420, 77012, 54347, 55526, 50890, 63349, 52608, 50911, 52999, 53543, 58465, 51390, 50830, 51408, 50830, 51256, 50830, 74055, 51978, 50950, 52293, 51421, 54112, 51979, 51541, 52999, 54020, 51049, 53269, 52490, 50809, 51408, 51073, 51772, 51073, 51209, 51073, 55313, 52831, 54048, 50887, 51892, 51180, 54803, 52999, 52217, 52848, 52490, 50910, 51772, 62522, 59574, 54048, 51049, 54622, 52436, 50950, 51209, 50862, 52068, 50459, 52436, 50950, 52999, 50884, 51408, 51421, 50851, 50799, 52436, 51012, 52490, 54285, 51594, 53504, 52490, 50855, 52066, 50420, 52436, 50950, 51408, 50836, 51772, 50836, 51209, 52217, 55884, 52436, 51653, 52490, 50890, 51408, 50855, 51772, 50833, 51209, 50855, 52066, 51302, 58465, 52490, 50809, 73083, 79529, 51772, 51373, 54150, 52436, 51012, 52401, 52675, 55632, 51408, 50886, 51209, 50886, 51772, 54874, 51049, 53269, 53786, 51012, 52999, 53841, 51594, 52831, 79529, 73083, 51772, 51373, 54478, 53786, 53960, 56325, 50689, 50271, 50904, 51408, 51178, 51209, 51178, 51772, 51178, 50852, 51757, 53786, 51012, 52401, 54732, 51594, 52794, 51647, 54622, 52608, 50911, 50689, 50271, 50810, 51408, 50855, 51209, 50855, 51772, 50855, 52068, 76362, 50799, 52608, 50882, 55526, 50879, 51334, 50889, 51674, 50889, 51772, 50889, 55313, 53504, 52608, 51427 ]

[ 0, 713, 8787, 5175, 15229, 6, 30291, 19, 4785, 9, 3495, 6, 30853, 23, 10, 7212, 20889, 11, 204, 73, 306, 86, 4, 16241, 212, 22052, 6, 13305, 6, 23338, 33518, 1264, 6, 3459, 8669, 6, 8, 21979, 9590, 45552, 833, 7, 1045, 10, 15352, 30054, 5797, 990, 1506, 14, 7630, 6568, 10, 25306, 5466, 4, 8504, 11, 5, 762, 9, 381, 538, 6, 5, 2125, 24708, 1626, 149, 10, 33215, 13931, 9, 1918, 406, 6, 230, 10431, 119, 6, 8, 83, 6, 6946, 7, 63, 19448, 8, 8728, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 54389, 51343, 52806, 52069, 51660, 51714, 51929, 51945, 52361, 52069, 52331, 51124, 51729, 50955, 51350, 50897, 51781, 50978, 54924, 51801, 55321, 52204, 65359, 52069, 54227, 51714, 53037, 51945, 52840, 52069, 51479, 54987, 52954, 52302, 51729, 50864, 73264, 51781, 51589, 56368, 52954, 52976, 51729, 50845, 51350, 51100, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 50874, 61778, 78260, 53740, 55813, 51984, 68524, 50886, 80072, 51781, 54874, 54987, 52676, 51984, 50987, 51479, 52954, 54129, 51729, 51212, 51350, 51121, 51781, 51328, 51240, 52267, 53262, 50865, 51479, 56368, 52954, 55686, 52331, 53140, 51984, 50924, 51729, 50851, 51350, 50810, 51781, 54965, 50898, 55717, 52954, 54085, 52331, 54199, 53262, 50879, 51729, 50864, 51350, 50833, 51781, 50822, 57806, 53558, 50898, 56368, 52954, 56013, 52331, 51241, 55626, 72482, 50817, 54389, 51343, 52806, 51605, 51660, 51945, 51929, 51894, 52361, 51991, 51729, 51363, 51350, 51116, 51781, 51203, 57806, 51226, 65359, 51605, 54227, 51945, 53037, 51894, 52840, 51991, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51212, 51350, 51100, 51781, 51101, 52777, 55717, 52954, 54396, 61778, 55224, 52331, 53199, 56368, 52954, 55813, 51984, 50841, 51729, 50864, 80072, 51781, 54036, 54987, 52676, 51984, 50977, 51479, 54987, 52954, 54129, 51729, 50892, 51350, 50849, 51781, 50892, 57806, 58931, 52267, 53262, 50938, 55626, 53558, 50898, 56368, 52954, 55686, 52331, 50857, 57806, 69560, 53240, 50917, 51729, 50874, 51350, 50854, 51781, 56062, 50898, 55717, 52954, 54085, 52331, 61960, 52954, 54038, 53262, 50936, 51729, 50904, 73264, 51781, 50822, 61778, 51196, 51479, 53740, 53736, 52331, 51377, 51240, 52954, 50908, 54389, 51364, 52806, 51894, 51660, 52069, 51929, 51894, 52361, 51991, 51729, 50955, 51350, 50910, 51781, 50866, 65359, 51894, 54227, 52069, 53037, 51894, 52840, 51991, 51479, 54987, 52954, 52302, 51729, 50851, 80072, 51781, 51589, 56368, 52954, 52976, 51729, 50974, 51350, 50873, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 50813, 57806, 51508, 53740, 55813, 51984, 50836, 51729, 50886, 80072, 51781, 50822, 55626, 53558, 54987, 52676, 51984, 50942, 57806, 51226, 51479, 52954, 54129, 51729, 50892, 51350, 50805, 51781, 51212, 51240, 52267, 53262, 50917, 51479, 56368, 52954, 55686, 52331, 54004, 51984, 50938, 51729, 50822, 77071, 51781, 54965, 50898, 55717, 52954, 54085, 52331, 50862, 55626, 57175, 53262, 50936, 51729, 50955, 51350, 50925, 51781, 50955, 51479, 56368, 52954, 56013, 51170, 50817, 54389, 51274, 52806, 51991, 51660, 51714, 51929, 51894, 52361, 51894, 51729, 51233, 51350, 51100, 51781, 51043, 53979, 52500, 65359, 51991, 54227, 51714, 53037, 51894, 52840, 51894, 51479, 54987, 52954, 52302, 52331, 50987, 79989, 52954, 52976, 51729, 50892, 51350, 50849, 51781, 50845, 52777, 55717, 52954, 52265, 52331, 52873, 56368, 52954, 55813, 51984, 50836, 51729, 50857, 66098, 51781, 53877, 54987, 52676, 51984, 53095, 50898, 54987, 52954, 54129, 51729, 50892, 51350, 50873, 51781, 50892, 51240, 52267, 53262, 50938, 51479, 56368, 52954, 55686, 52331, 54004, 53240, 50878, 51729, 51212, 51350, 51100, 51781, 51212, 52777, 55717, 52954, 54085, 51170, 52954, 54038, 53262, 50921, 52331, 53097, 50898, 53740, 53736, 51240, 52954, 50908, 54389, 51343, 52806, 53380, 52361, 52919, 52043, 53363, 54050, 53753, 52331, 51162, 51729, 51363, 51350, 51124, 51781, 51363, 58943, 53002, 65359, 53380, 52840, 52919, 51971, 53363, 52943, 53753, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51177, 51350, 51111, 51781, 51101, 52777, 55717, 52954, 52265, 52331, 51373, 53740, 55813, 51984, 68524, 50886, 77071, 51781, 53877, 54987, 52676, 51984, 50987, 51479, 52954, 54129, 51729, 51212, 51350, 51111, 51781, 51212, 51240, 52267, 53262, 50865, 51479, 56368, 52954, 55686, 52331, 52843, 51984, 50924, 51729, 50955, 51350, 50897, 51781, 50955, 52777, 55717, 52954, 54085, 51726, 54583, 53262, 50879, 51729, 50959, 51350, 50925, 51781, 50955, 51479, 56368, 52954, 56013, 51170, 50817, 54389, 51343, 51729, 50955, 51350, 50897, 51781, 50878, 51479, 54987, 52954, 52302, 51729, 51142, 51350, 50955, 51781, 51006, 79989, 52954, 52976, 51729, 50974, 51350, 50805, 51781, 50845, 52777, 55717, 52954, 52265, 52331, 51589, 56368, 52954, 55813, 51984, 50841, 51729, 50874, 51350, 50854, 51781, 61413, 54987, 52676, 51984, 50977, 51479, 54987, 52954, 54129, 51729, 50838, 51350, 51177, 51781, 51212, 51240, 52267, 53262, 50938, 51479, 56368, 52954, 55686, 52331, 54086, 53240, 50917, 52361, 50813, 52043, 50840, 54050, 50844, 51729, 50933, 51350, 50833, 51781, 50905, 52840, 50813, 51971, 50840, 52943, 53887, 50898, 55717, 52954, 54085, 51170, 52954, 54038, 53262, 50936, 51479, 53740, 53736, 51240, 52954, 50908, 50799, 53262, 52195, 51944, 53082, 52361, 52826, 53335, 52826, 52807, 53413, 51990, 50981, 51729, 51412, 51659, 51480, 51355, 51203, 54924, 52250, 54598, 53082, 52840, 52826, 52678, 52826, 52235, 53413, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51328, 51659, 51101, 51355, 51101, 52777, 55717, 52954, 52265, 51990, 53111, 53740, 55813, 51868, 50840, 51729, 50864, 51659, 50857, 51355, 54355, 54987, 52676, 53262, 52773, 50898, 52954, 54129, 51729, 50892, 51659, 50901, 51355, 50901, 51240, 52267, 53262, 50806, 51479, 56368, 52954, 55686, 51990, 53938, 51868, 50930, 51729, 50912, 51659, 50827, 51355, 56062, 50898, 55717, 52954, 54085, 58226, 50977, 51990, 54232, 51729, 50904, 51659, 50867, 51355, 54036, 50898, 56368, 52954, 56013, 51868, 50809, 51990, 67195, 50817, 50799, 53262, 51472, 51729, 50959, 51659, 50866, 51355, 50878, 51479, 54987, 52954, 52302, 51729, 50874, 51659, 50844, 51355, 51373, 56368, 52954, 52976, 51729, 50974, 51659, 50845, 51355, 50845, 52777, 55717, 52954, 52265, 51990, 53330, 56368, 52954, 55813, 51868, 50887, 51729, 50851, 51659, 50822, 51355, 53877, 54987, 52676, 53262, 53345, 50898, 54987, 52954, 54129, 51729, 50905, 51659, 50845, 51355, 50845, 51240, 52267, 53262, 53841, 50898, 56368, 52954, 55686, 51990, 54276, 58226, 50810, 51729, 50822, 51659, 50942, 51355, 50942, 52777, 55717, 52954, 54085, 53262, 60855, 52954, 54038, 51868, 50952, 51990, 53933, 50898, 53740, 53736, 51240, 52954, 50908, 50799, 53240, 51472, 52806, 53082, 52361, 55392, 52043, 53082, 54050, 53849, 52331, 50981, 51729, 51412, 51350, 51221, 51781, 51363, 58943, 52024, 65359, 53082, 52840, 55392, 51971, 53082, 52943, 53849, 51479, 54987, 52954, 57474, 56368, 52954, 52976, 51729, 51328, 51350, 51177, 51781, 51242, 52777, 55717, 52954, 52265, 52331, 53199, 53740, 55813, 51984, 50809, 51729, 50904, 51350, 50857, 51781, 54874, 54987, 52676, 53240, 53097, 50898, 52954, 54129, 51729, 51328, 51350, 51121, 51781, 51212, 51240, 52267, 53262, 50936, 51479, 56368, 52954, 55686, 52331, 54004, 51729, 50941, 51350, 50857, 51781, 54965, 50898, 55717, 52954, 54085, 51984, 50890, 52331, 54199, 53262, 50936, 51729, 50941, 51350, 50857, 51781, 56029, 50898, 56368, 52954, 56013, 52331, 59532, 50817, 54389, 51294, 51729, 51008, 51350, 50942, 51781, 50978, 51479, 54987, 52954, 52302, 51729, 50851, 51350, 50854, 51781, 50959, 79989, 52954, 52976, 51729, 50974, 51350, 50873, 51781, 50892, 52777, 55717, 52954, 52265, 51984, 50887, 52331, 52873, 56368, 52954 ]

[ 0, 250, 765, 15855, 5175, 2125, 11, 155, 73, 306, 86, 6543, 6, 278, 11, 5, 762, 9, 12608, 538, 6, 4246, 10, 13305, 816, 10, 881, 13931, 9, 12608, 6, 230, 119, 6, 163, 428, 401, 6, 12608, 6, 8, 163, 428, 406, 40286, 23, 41, 12447, 1001, 20889, 6, 7630, 14805, 10, 2933, 6, 15352, 30054, 6, 8, 3722, 5466, 14, 115, 28, 157, 12, 9228, 4560, 13, 10, 822, 19834, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 73566, 51018, 51034, 51503, 51157, 69980, 54818, 50965, 50859, 63365, 50438, 50965, 50859, 50997, 51157, 51034, 50965, 50859, 51176, 51157, 62144, 74301, 76094, 50965, 50859, 51050, 51157, 76898, 51157, 50420, 51197, 56412, 51360, 51157, 51197, 51157, 51339, 51157, 62275, 51157, 51197, 51157, 51405, 51157, 51034, 51399, 52014, 50290, 51157, 51050, 51157, 50420, 51081, 56412, 50951, 52014, 50288, 51157, 51197, 51157, 50432, 51001, 50938, 50437, 51001, 53813, 51214, 50808, 51197, 50808, 74106, 50441, 51026, 65389, 67944, 55513, 64201, 66088, 79043, 50808, 51034, 50965, 51077, 51503, 52024, 70562, 72597, 51157, 63808, 50859, 51028, 50859, 51176, 51157, 51034, 62926, 51001, 50859, 51176, 72265, 50973, 64830, 50859, 51176, 51157, 62204, 78222, 50859, 51176, 51157, 51034, 51028, 50859, 75032, 51176, 51157, 56546, 78222, 50859, 51176, 76094, 50973, 64830, 50859, 51176, 51157, 77575, 64715, 51538, 51001, 51538, 56978, 56412, 51050, 56632, 51197, 57581, 51360, 60492, 51085, 50938, 72316, 64471, 52014, 50317, 61555, 51315, 52014, 50326, 56412, 51050, 64471, 52014, 50317, 56632, 51378, 52014, 50326, 57581, 51026, 64471, 51157, 51028, 74322, 51197, 50938, 77575, 73278, 64715, 50938, 56363, 52014, 50324, 50938, 53523, 73278, 64715, 56632, 51040, 52014, 50324, 50938, 55898, 73278, 72597, 51157, 61614, 50938, 71213, 64294, 64471, 50938, 58097, 75210, 56412, 51040, 52014, 50319, 50938, 56014, 64471, 57581, 51086, 64294, 60492, 50997, 74928, 51034, 51086, 65159, 50938, 56363, 68551, 56412, 51176, 60657, 56632, 51026, 64294, 57581, 51050, 73278, 60492, 51197, 64471, 50938, 51034, 51378, 73278, 51077, 60284, 56412, 51197, 64715, 51157, 50432, 51360, 57581, 51085, 64471, 51157, 51028, 74322, 51234, 50938, 51034, 51503, 64715, 51157, 51001, 51157, 50420, 51214, 56412, 51503, 52014, 50315, 51157, 50902, 51157, 50432, 51214, 57581, 51966, 64715, 51157, 51001, 74322, 51214, 50938, 51034, 51214, 52014, 50317, 51141, 50931, 67729, 51503, 52014, 50293, 56412, 51214, 56632, 51503, 52014, 50295, 64715, 51157, 51001, 76094, 51214, 60492, 51503, 52014, 50297, 52014, 50315, 67922, 50938, 51034, 51214, 64715, 51538, 51001, 51538, 50420, 51378, 56412, 51026, 56632, 51050, 57581, 51197, 60492, 51120, 50938, 64507, 52014, 50319, 61555, 51197, 75210, 56412, 51026, 76463, 50938, 56014, 52014, 50319, 57581, 50956, 67922, 50938, 58365, 64715, 50938, 51034, 51214, 67922, 50938, 56978, 76463, 56412, 51176, 52014, 50319, 56632, 51086, 67922, 50938, 55898, 64715, 50938, 57428, 52014, 50315, 50938, 51034, 50956, 64715, 51157, 55902, 50938, 53645, 64715, 51157, 64551, 50938, 55898, 64715, 51157, 55513, 50938, 51034, 50956, 50910, 51062, 52014, 50302, 51157, 50418, 50989, 62714, 51405, 50808, 64309, 68018, 51399, 52450, 50965, 52014, 50328, 56632, 50861, 52014, 50326, 57581, 51147, 63804, 50910, 50956, 51157, 50440, 51081, 57108, 51147, 65389, 50876, 60204, 50951, 76788, 74106, 51034, 51147, 52014, 50328, 73278, 72597, 51157, 50420, 51001, 56412, 50951, 52014, 50326, 68551, 51157, 50906, 51157, 50432, 51001, 57581, 51147, 52014, 50328, 73278, 72597, 74322, 51001, 50938, 77575, 52014, 50324, 52014, 50328, 50938, 56363, 52014, 50319, 50938, 53523, 75210, 52014, 50326, 56632, 51040, 52014, 50319, 57581, 51147, 52014, 50328, 68551, 74322, 51001, 50938, 51034, 50956, 64471, 52014, 50328, 52014, 50331, 50938, 58060, 52014, 50319, 56412, 51028, 52014, 50326, 52014, 50329, 56632, 50876, 52014, 50319, 57581, 50956, 50910, 67944, 50951, 52014, 50326, 50938, 50442, 51040, 60204, 51001, 50938, 68121, 50910, 75424, 50910, 51062, 52014, 50331, 50938, 50418, 51027, 62714, 51001, 77455, 51176, 56382, 51026, 50910, 51081, 52014, 50329, 50938, 50430, 51176, 58466, 51001, 78446, 51050, 56983, 51197, 50910, 50951, 52014, 50326, 50938, 50442, 51050, 60204, 51001, 76788, 51026, 50910, 77575, 50910, 51147, 52014, 50328, 50938, 50418, 50997, 62714, 51001, 50938, 63686, 56382, 51040, 75210, 52014, 50326, 56632, 50956, 52014, 50319, 50938, 57019, 52014, 50324, 52014, 50328, 50938, 58365, 52014, 50319, 50938, 51034, 50965, 52014, 50324, 52014, 50328, 61555, 50906, 52014, 50319, 56412, 50876, 75210, 52014, 50326, 56632, 51028, 52014, 50319, 57581, 50902, 52014, 50324, 52014, 50328, 60492, 51001, 52014, 50319, 50938, 51034, 50956, 50910, 74106, 71049, 51081, 69392, 66088, 74106, 69697, 51220, 60853, 50965, 50910, 67594, 72926, 51062, 56382, 51026, 50910, 50956, 50910, 51081, 52014, 50331, 50938, 50430, 51050, 58466, 51001, 78446, 51197, 56983, 51176, 50910, 75902, 51081, 52014, 50333, 50938, 50442, 51050, 60204, 51001, 76788, 51197, 50910, 75424, 50910, 51040, 50910, 51081, 52014, 50335, 50938, 50418, 51050, 62714, 51001, 77455, 51197, 56382, 51176, 50910, 75902, 51081, 52014, 50333, 50938, 50430, 51050, 58466, 51001, 78446, 51197, 56983, 51081, 51804, 50299, 50910, 50956, 50910, 51399, 50910, 51405, 69822, 51050, 50910, 51146, 60204, 51001, 63674, 51405, 50884, 51197, 50910, 51034, 51147, 52014, 50328, 52014, 50336, 61555, 51001, 52014, 50338, 56412, 50951, 52014, 50326, 52014, 50340, 56632, 51001, 52014, 50341, 57581, 51147, 52014, 50328, 52014, 50343, 60492, 51001, 52014, 50341, 50938, 51034, 51147, 52014, 50328, 52014, 50340, 61555, 51001, 52014, 50338, 56412, 50951, 52014, 50326, 52014, 50336, 56632, 51001, 52014, 50338, 57581, 51147, 52014, 50328, 52014, 50340, 60492, 51001, 52014, 50341, 50938, 51034, 51062, 52014, 50331, 52014, 50343, 61555, 51001, 52014, 50341, 56412, 51081, 52014, 50329, 52014, 50340, 56632, 51001, 52014, 50338, 57581, 50951, 52014, 50326, 52014, 50336, 60492, 51001, 52014, 50338, 50938, 51034, 51062, 52014, 50331, 52014, 50340, 61555, 51001, 52014, 50341, 56412, 51081, 52014, 50329, 52014, 50343, 56632, 51001, 52014, 50341, 57581, 50951, 52014, 50326, 52014, 50340, 60492, 51001, 52014, 50338, 50938, 51034, 51147, 52014, 50336, 52014, 50340, 61555, 50951, 52014, 50331, 56412, 50931, 52014, 50336, 52014, 50340, 56632, 51001, 52014, 50328, 57581, 51028, 52014, 50336, 52014, 50340, 60492, 50876, 52014, 50331, 50938, 51034, 51001, 52014, 50335, 52014, 50338, 61555, 51028, 52014, 50326, 56412, 50876, 52014, 50335, 52014, 50338, 56632, 50906, 52014, 50329, 57581, 50965, 52014, 50335, 52014, 50338, 50938, 58365, 52014, 50326, 50938, 78031, 52014, 50331, 52014, 50336, 61555, 50906, 52014, 50324, 56412, 50965, 52014, 50331, 52014, 50336, 56632, 50861, 52014, 50328, 50938, 57019, 52014, 50331, 52014, 50336, 60492, 50956, 52014, 50324, 50938, 77575, 52014, 50324, 52014, 50327, 50938, 56363, 52014, 50319, 56412, 51086, 75210, 52014, 50326, 56632, 51040, 52014, 50319, 57581, 50956, 52014, 50324, 52014, 50327, 60492, 51040, 52014, 50319, 50938, 51034, 51086, 52014, 50324, 52014, 50327, 50938, 56363, 52014, 50319, 56412, 51176, 75210, 52014, 50326, 56632, 50997, 52014, 50319, 57581, 51086, 52014, 50324, 52014, 50327, 60492, 51040, 52014, 50319, 50938, 51034, 50956, 52014, 50327, 52014, 50331, 61555, 51040, 52014, 50319, 56412, 51086, 52014, 50326, 52014, 50329, 56632, 50997, 52014, 50317, 57581, 51176, 75210, 52014, 50326, 60492, 50997, 52014, 50319, 50938, 51034, 51086, 52014, 50327, 52014, 50331, 61555, 51040, 52014, 50319, 50938, 56040, 52014, 50326, 52014, 50329, 56632, 51040, 52014, 50319 ]

[ 0, 713, 17627, 17274, 3495, 2214, 11, 272, 538, 22750, 1626, 11098, 8, 10563, 149, 63, 15352, 30054, 15229, 4, 25837, 2987, 30, 41, 21979, 8669, 6, 3459, 9590, 6, 21072, 6, 8, 10, 2352, 6757, 6, 19, 32625, 2236, 1021, 2678, 29, 1271, 5581, 6, 24, 11498, 10, 20902, 12447, 1001, 20889, 11, 204, 73, 306, 86, 4, 20, 16331, 33215, 16739, 9, 230, 6, 211, 6, 272, 6, 230, 6, 8, 211, 4620, 5, 24456, 9, 42, 33928, 8859, 6, 1969, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 56236, 52013, 63220, 52013, 66972, 52013, 53153, 52013, 50880, 62193, 56179, 51688, 51631, 51688, 52605, 51791, 51646, 51332, 51196, 58463, 50914, 78664, 50847, 58705, 50885, 55077, 55969, 50892, 62193, 56179, 51688, 53466, 51688, 52605, 51791, 52446, 51332, 51356, 50444, 53449, 50885, 65675, 57024, 50885, 56467, 55969, 50901, 62193, 57487, 51688, 51631, 51688, 53308, 51791, 51646, 51332, 52610, 51171, 56747, 57482, 55792, 50873, 64933, 67064, 51310, 50868, 51991, 51217, 56073, 50432, 51042, 54137, 51042, 56678, 59731, 51042, 55792, 54509, 50850, 53677, 64539, 51103, 52591, 50868, 51141, 50992, 51364, 50432, 51217, 55306, 51042, 53999, 51171, 56378, 72869, 70441, 55069, 50848, 56291, 56678, 50873, 62193, 57437, 51688, 53172, 51688, 53308, 51791, 51646, 51332, 51356, 58463, 50914, 50868, 68941, 55069, 50885, 56291, 57486, 50873, 62193, 57487, 51688, 51631, 51688, 52309, 51791, 52446, 51332, 67114, 50847, 57954, 65675, 61510, 50885, 55077, 54703, 50901, 62193, 52774, 51688, 54851, 51688, 52605, 51791, 51646, 51332, 55260, 51171, 62009, 60439, 57349, 50845, 64933, 51141, 50992, 51115, 50868, 51077, 51217, 53601, 50432, 51042, 55306, 51042, 61659, 55787, 79766, 51042, 54771, 51042, 61659, 75736, 51358, 56236, 50420, 51042, 61678, 51364, 50432, 51042, 55306, 51042, 51314, 50868, 50918, 50992, 66563, 51224, 50923, 51335, 50923, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 52299, 78880, 51882, 51045, 51855, 67721, 51882, 50940, 51855, 52422, 51164, 57245, 56743, 59140, 50923, 50427, 51882, 50921, 50428, 51855, 56896, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55580, 74439, 51855, 50940, 51882, 57581, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 57520, 50923, 50439, 51813, 51033, 52525, 51014, 50445, 51813, 51066, 52525, 56812, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 61254, 50457, 52456, 51454, 51813, 51454, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 59579, 50923, 50421, 51882, 54055, 51813, 61874, 51332, 67881, 57245, 59140, 57067, 58285, 50868, 64986, 51237, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 55580, 52322, 50964, 57825, 57816, 50868, 57954, 51097, 67478, 50847, 59124, 52982, 51332, 50995, 71432, 64583, 50816, 57241, 50885, 60046, 56785, 59847, 50807, 64584, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50923, 51882, 51014, 51855, 75832, 51855, 50858, 51882, 55889, 51164, 57245, 56743, 59140, 50923, 51855, 68315, 51882, 62019, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55580, 50911, 51855, 50952, 50433, 51882, 57626, 50988, 60871, 69139, 50988, 51115, 51042, 51115, 64851, 50953, 70312, 50923, 50439, 51813, 50950, 52525, 77762, 51813, 51735, 50445, 52525, 77225, 71432, 61542, 62254, 50816, 57241, 50988, 76026, 59718, 50974, 58918, 50457, 52456, 52208, 51813, 51184, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 57078, 50885, 50795, 51332, 51662, 50988, 51662, 50885, 51662, 50816, 57067, 58285, 50868, 64986, 51016, 68205, 50964, 54209, 54993, 50964, 73088, 57816, 50868, 55109, 51097, 67478, 50847, 59124, 50848, 54792, 57241, 50885, 59847, 56291, 56785, 50974, 64584, 59008, 50915, 62443, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50893, 51855, 50823, 51882, 64342, 51855, 73888, 51882, 52422, 51164, 57245, 56743, 59140, 50923, 50427, 51855, 50882, 51882, 57359, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55195, 50893, 51855, 50952, 51882, 58818, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 70312, 50923, 51813, 51045, 50439, 52525, 73136, 51813, 51012, 50445, 52525, 67876, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 63485, 51813, 51066, 50457, 52525, 51932, 61281, 50915, 51042, 50915, 65107, 51042, 51477, 50868, 51477, 50847, 51477, 51019, 73088, 50923, 50421, 51813, 50858, 52525, 52450, 51217, 50995, 79085, 63153, 50816, 50923, 51813, 51030, 50427, 52525, 57359, 51042, 55077, 54667, 50845, 51019, 52090, 50879, 52456, 51454, 50433, 51882, 52827, 50438, 50946, 51115, 75714, 76775, 51688, 51047, 51217, 51047, 50946, 51047, 51011, 73088, 57816, 52517, 50948, 51899, 50923, 50451, 53169, 51566, 50456, 50946, 59847, 60046, 50974, 70994, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 73181, 52088, 51045, 51855, 67721, 52088, 50882, 51855, 58216, 51164, 57245, 56743, 59140, 50923, 50427, 52088, 50882, 51855, 56896, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 55195, 74439, 52088, 50948, 51855, 54930, 51217, 50915, 51042, 50915, 65107, 51042, 51115, 76775, 77543, 51019, 70312, 50923, 52456, 51014, 50439, 51813, 70378, 52456, 51072, 51813, 51932, 50450, 51217, 50995, 79085, 63153, 50816, 57241, 51042, 60046, 56785, 50974, 72488, 50457, 53169, 51454, 52456, 51055, 62193, 50915, 51217, 50915, 67034, 50946, 51477, 50885, 51477, 50868, 51477, 51069, 59579, 50911, 50421, 54744, 52311, 53169, 52536, 50426, 51688, 71898, 59467, 59140, 57067, 67034, 58285, 65107, 51688, 51318, 51217, 51318, 50946, 51318, 51069, 55580, 54993, 51069, 76721, 56646, 77456, 50885, 51097, 50868, 59124, 51688, 50995, 51217, 50995, 50946, 64989, 57241, 50946, 59847, 60046, 50974, 76008, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 59579, 50911, 51335, 50923, 51855, 51045, 51882, 55573, 51855, 50940, 51882, 54149, 51164, 57245, 56743, 59140, 50923, 51855, 65001, 51882, 50894, 50431, 51855, 57647, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 54209, 50893, 51882, 59646, 50988, 60871, 69139, 51042, 51115, 64851, 77543, 50953, 57393, 50923, 51813, 51033, 50439, 52525, 54952, 51813, 51735, 50445, 52525, 51500, 50450, 71432, 61542, 62254, 50816, 57241, 51042, 59718, 56785, 50974, 58918, 50457, 52456, 51454, 51813, 51454, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 50911, 50421, 51882, 52266, 51813, 53174, 50426, 51332, 67881, 57245, 57245, 56649, 56087, 58285, 50868, 64986, 51016, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 54209, 54993, 50964, 57393, 57816, 50868, 57954, 51097, 67478, 50847, 59124, 50848, 51424, 50292, 50995, 71432, 64583, 50816, 57241, 50885, 59847, 55905, 56785, 50974, 58623, 59008, 50915, 58285, 72080, 50946, 51477, 50885, 51477, 50872, 51477, 50945, 57393, 50911, 51855, 51045, 50415, 51882, 75832, 51855, 50940, 50421, 51882, 55889, 51164, 57245, 56743, 59140, 50923, 50427, 51855, 50821, 51882, 53917, 51164, 59467, 56566, 57245, 55808, 56743, 61217, 54209, 50893, 51855, 50940, 50433, 51882, 59826, 50988, 60871, 69139, 50988, 51115, 51042, 51115, 64851, 50953, 73088, 50923, 50439, 51813, 51014, 52525, 51014, 50445, 51813, 51735, 52525, 51603, 50450, 71432, 61542, 62254, 50816, 56210, 50988, 76026, 59718, 50974, 61254, 50457, 51813, 52208, 52456, 52208, 57732, 50915, 69433, 58285, 50885, 51477, 50868, 51477, 50847, 51477, 50964, 57393, 56346, 51332, 67881, 57245, 57245, 56649, 57067, 58285, 50868, 64986, 51016, 68205, 51332, 51318, 50988, 51318, 79845, 50964, 54209, 54993, 50964, 57825, 56646, 50868, 57954, 51097, 67478, 50847, 59124, 50848, 51393, 50292, 50995, 71432, 64583, 50816, 57241, 50885 ]

[ 0, 250, 33928, 8, 15352, 30054, 3495, 1619, 2214, 4246, 21979, 8669, 6, 17691, 28430, 6, 3459, 8669, 6, 8, 13602, 6757, 6, 19, 41, 21979, 9590, 1976, 5, 41063, 15796, 4811, 4, 8504, 11, 5, 762, 9, 272, 538, 19, 10, 1769, 20889, 6, 5, 2125, 29769, 198, 5, 40286, 272, 8, 230, 6, 61, 7230, 1328, 5, 2214, 6, 2351, 10, 32076, 8, 12298, 5466, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58375, 50796, 61627, 53160, 52192, 50909, 56391, 53160, 52460, 50935, 62214, 53160, 54532, 78656, 57342, 52519, 50420, 50850, 54278, 50847, 71895, 53160, 51447, 50438, 50848, 51447, 70173, 66368, 51753, 50450, 57230, 50456, 78005, 57732, 51524, 50885, 52263, 50872, 78377, 51332, 52598, 50432, 50848, 51542, 50438, 64804, 50868, 73196, 51332, 52441, 50450, 51042, 51709, 50456, 53160, 52407, 50847, 54344, 57342, 78377, 50850, 54278, 50847, 51310, 50432, 53160, 51679, 50438, 50848, 51535, 50444, 50850, 61637, 53160, 53674, 50456, 50872, 50905, 58402, 51042, 52263, 50420, 53160, 52256, 50848, 51419, 50426, 68161, 50432, 50847, 56656, 53160, 52598, 57403, 71320, 51784, 57486, 70347, 51900, 54180, 52192, 57732, 51448, 50415, 51802, 55419, 50868, 65933, 52285, 51173, 50847, 54342, 51784, 50943, 50868, 58087, 51332, 51878, 50847, 54947, 57835, 50450, 50847, 57092, 52278, 58310, 51824, 50799, 52355, 50924, 51164, 51477, 50420, 52355, 51158, 50872, 53161, 50426, 51784, 56548, 51481, 50432, 60490, 50433, 51900, 53912, 51164, 51679, 50872, 57997, 50885, 72887, 77934, 50451, 51802, 68179, 50885, 51470, 76309, 51016, 51332, 51448, 60474, 65933, 52285, 56625, 54342, 50868, 51166, 50433, 51784, 76094, 51332, 51878, 50847, 54947, 57835, 50450, 50847, 57092, 52278, 58310, 51824, 50799, 52355, 51013, 51164, 51477, 50420, 50872, 53161, 50426, 51784, 56244, 51481, 50432, 51900, 51013, 60490, 50438, 51164, 51679, 50872, 57997, 50885, 72887, 50946, 61703, 50885, 51470, 76309, 50910, 51332, 51448, 50420, 51802, 75736, 65933, 50847, 54342, 52285, 51060, 50868, 58087, 51332, 51878, 58876, 50439, 51900, 55451, 57835, 50450, 50847, 50972, 50451, 51784, 64713, 51802, 51162, 50885, 51824, 59008, 51477, 50420, 50872, 53161, 50426, 78110, 50432, 52285, 58649, 60676, 51900, 51013, 51164, 53674, 50885, 57997, 50872, 72887, 51784, 54180, 61703, 51900, 51359, 50946, 51470, 57746, 51283, 50935, 51172, 50420, 60179, 50426, 51007, 51481, 50432, 70173, 50438, 50988, 53280, 51042, 71892, 50847, 67042, 51007, 66913, 80231, 57746, 52256, 51042, 51642, 58082, 60316, 50847, 51797, 50432, 50848, 56692, 50988, 52519, 50444, 51042, 66809, 50847, 50974, 52078, 53697, 50456, 52285, 56954, 69510, 52285, 50808, 76309, 51016, 51332, 51448, 51150, 52727, 60474, 51470, 50929, 52062, 50426, 52285, 57753, 50905, 51032, 64003, 54221, 51784, 55787, 51166, 51292, 51318, 50438, 51332, 51878, 50847, 54947, 52278, 51100, 57835, 51032, 71320, 50847, 57948, 69305, 51292, 52048, 50456, 52278, 51177, 50885, 51824, 50799, 52355, 51016, 51164, 51477, 51140, 54829, 50420, 50872, 53161, 50970, 72599, 51784, 59590, 51481, 50947, 52482, 77501, 51900, 50889, 60490, 51032, 52168, 50438, 51164, 51679, 50872, 57997, 50885, 51470, 50947, 52519, 50450, 77934, 50970, 51380, 51140, 52397, 52470, 50456, 51802, 68156, 51470, 76309, 51013, 51332, 51448, 51150, 52528, 60474, 51470, 50929, 65435, 50847, 50905, 51032, 51412, 52470, 50427, 52285, 70756, 50868, 51166, 51292, 51466, 50433, 51784, 59306, 51332, 51878, 50847, 54947, 57835, 51563, 51277, 50445, 52278, 67081, 50847, 50972, 51292, 51108, 51150, 51738, 50791, 55370, 50885, 51824, 50458, 52278, 50830, 50799, 52355, 51158, 51164, 51477, 51140, 56329, 50420, 50872, 53161, 50422, 52355, 52710, 78110, 51438, 51662, 50791, 67322, 51784, 57943, 51900, 51294, 60490, 51032, 66916, 51164, 51679, 50872, 57997, 50885, 51470, 50947, 53562, 77934, 51032, 50932, 51140, 54344, 50791, 54900, 50885, 51470, 50457, 51802, 51346, 57732, 51448, 51150, 54829, 60474, 51470, 50929, 52519, 50421, 51802, 63963, 50847, 50905, 51292, 51939, 50791, 50874, 50428, 52285, 61690, 50868, 51166, 51032, 50932, 50437, 51900, 55965, 51332, 51878, 50847, 54947, 57835, 50929, 51312, 50449, 51784, 68366, 50847, 50972, 51032, 51709, 51150, 54344, 52068, 50455, 51802, 68862, 50885, 51824, 59008, 51477, 51140, 52136, 50420, 50872, 53161, 50970, 51592, 50424, 52285, 72598, 78110, 50947, 56329, 52470, 50432, 51900, 51218, 60490, 51032, 51328, 51216, 52147, 50438, 51164, 53674, 50885, 50972, 51438, 52136, 50444, 50872, 72887, 51784, 58239, 51058, 51032, 51174, 51892, 50456, 51900, 51675, 50946, 51470, 57746, 51283, 50935, 51172, 51098, 52256, 50420, 60179, 50929, 50863, 51076, 53881, 51007, 51481, 50929, 50941, 51076, 56423, 52739, 70173, 51076, 51534, 51067, 51043, 51389, 52980, 50435, 51784, 61842, 52824, 77787, 50988, 53280, 51042, 71892, 70984, 51438, 50857, 51067, 54185, 51007, 51242, 51438, 51199, 51067, 51775, 51892, 50456, 80231, 57746, 52256, 51042, 51642, 50929, 51961, 51098, 52256, 58082, 51174, 51067, 51542, 50426, 50847, 51797, 51076, 52460, 50791, 54221, 59762, 50929, 51314, 51098, 52519, 50438, 50988, 52519, 50444, 51042, 51277, 50445, 51950, 73319, 50847, 50974, 51098, 52996, 52558, 50456, 51950, 51196, 50848, 51126, 57732, 51448, 50998, 52407, 51150, 51490, 50903, 55869, 50868, 51470, 50929, 52062, 50426, 50847, 50905, 51292, 64003, 54221, 52285, 51364, 50868, 51166, 51032, 51412, 50438, 51332, 51878, 58876, 51150, 53892, 50903, 54682, 57835, 51032, 71320, 51950, 68941, 50972, 51292, 52048, 51098, 52056, 50791, 54900, 50885, 51824, 76309, 51016, 51164, 51477, 51438, 52441, 51140, 51637, 50903, 53004, 50872, 53161, 50970, 72599, 52285, 51060, 78110, 50947, 52482, 77501, 51784, 51191, 60490, 51032, 51679, 50438, 51164, 51679, 50872, 50972, 51140, 51709, 50903, 55368, 50885, 51470, 50947, 52519, 50450, 77934, 51032, 51738, 50970, 51380, 51098, 51330, 52470, 50456, 50885, 51470, 50799, 51950, 51073, 51332, 51448, 51292, 51333, 51150, 52136, 50903, 55650, 50868, 51470, 50929, 51333, 50424, 51802, 63963, 50847, 50905, 51032, 51412, 52470, 50432, 52285, 51364, 50868, 51166, 51292, 51466, 51150, 53577, 50438, 51332, 51878, 50847, 72900, 57522, 57835, 51563, 66809, 51950, 74515, 50972, 51292, 51576, 51150, 52034, 50791, 55370, 50885, 51824, 50461, 51802, 51016, 59008, 51477, 50947, 51330, 51140, 51381, 50903, 54202, 50872, 53161, 50426, 51784, 50952, 78110, 51438, 51662, 50791, 54221, 51784, 51351, 60490, 50947, 51466, 51140, 52441, 50438, 51164, 51679, 50872, 50972, 50903, 54394, 50885, 51470, 51032, 77072, 77934, 50947, 50932, 51140, 52048, 50791, 54900, 50885, 51470, 50799, 51950, 50983, 51332, 51448, 51032, 51466, 51150, 51965, 50903, 53738, 50868, 51470, 50929, 52519, 50426, 50847, 50905, 51292, 51939, 50791, 54221, 51802, 51158, 50868, 51166, 51032, 50932, 51216, 52256, 50438, 52285, 78648, 51878, 50847, 72900, 56069, 57835, 50929, 72380, 50847, 50972, 51032, 51709, 51098, 51108, 52068, 50451, 51950, 57024, 50885, 51824, 50929, 51174, 76309, 50805, 51164, 51477, 50970, 51592, 51140, 52256, 50903, 55650, 52285, 75345, 53161, 50426, 78110, 50947, 54228, 52470, 50432, 60490, 51032, 51097, 51216, 52136, 50433, 51900, 68499, 51164, 53674, 50885, 50972, 51438, 52136, 50903, 55368, 50872, 72887, 51784, 51111, 65999, 51032, 51481, 51140, 51330, 51892, 50456, 51900, 53090, 50946, 51470, 78673, 57746, 51283, 50935, 51309, 50929, 52256, 51098, 51637, 50903, 55650, 50847, 51470, 51076, 51423, 57189, 51365, 50935, 67814, 52063, 64059, 51067, 51806, 50791, 52739, 50848, 51365, 51076, 51172, 51438, 51309, 51389, 52441, 50438, 50988, 53280, 51042, 51254, 62587, 70984, 50903, 54947, 50847, 52192, 51438, 73580 ]

[ 0, 250, 15855, 822, 19834, 14, 7630, 6568, 10, 1472, 9, 26545, 8, 9066, 2821, 16235, 4, 20, 6755, 12547, 8, 1515, 21305, 185, 5, 483, 6, 2800, 30, 13305, 6, 2342, 4467, 6, 8, 26432, 636, 3938, 22052, 4, 8504, 11, 5, 762, 9, 274, 538, 19, 10, 7212, 20889, 6, 5, 2125, 3905, 10, 33215, 16739, 9, 230, 406, 6, 274, 119, 1176, 406, 6, 8, 163, 43531, 1176, 406, 4, 20, 15229, 18, 3722, 5581, 8, 5679, 26709, 13408, 146, 24, 157, 12, 9228, 4560, 13, 25306, 5422, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50799, 51394, 52996, 51182, 52011, 51088, 51447, 51827, 51466, 52471, 51333, 53909, 51108, 50415, 51107, 52204, 50426, 51304, 51703, 51284, 51703, 51673, 51490, 53051, 51447, 53372, 51447, 50438, 51491, 51314, 50450, 51394, 51333, 51384, 51333, 51886, 51466, 53909, 51576, 54155, 51108, 50799, 51394, 52056, 51182, 51466, 51154, 51447, 51827, 52996, 52471, 51108, 53909, 51709, 50426, 51284, 51166, 51304, 51074, 51673, 52518, 53051, 51254, 53372, 66255, 51384, 51166, 51394, 52063, 51886, 52059, 53909, 51481, 54155, 52718, 51284, 51333, 51304, 51333, 51301, 51314, 51673, 51333, 53051, 50932, 53372, 58959, 51182, 52378, 51394, 51333, 51827, 51466, 52471, 51642, 53909, 51097, 70127, 51738, 51107, 52916, 51426, 55844, 51565, 51466, 52009, 52140, 52471, 60184, 51284, 51753, 51686, 51074, 53051, 55378, 51394, 51074, 51827, 51884, 53909, 54938, 51201, 51333, 51299, 55002, 51165, 51447, 51606, 51333, 52547, 58959, 51093, 51333, 51395, 51330, 52161, 51466, 53034, 51108, 51716, 51333, 63535, 51079, 51883, 51637, 51088, 52528, 51596, 51166, 52009, 77870, 51093, 51965, 51752, 52063, 51716, 51637, 50426, 51395, 51447, 51299, 51449, 52161, 51703, 53034, 76357, 51165, 52431, 52371, 52528, 52072, 52431, 50450, 51491, 51490, 51107, 51490, 51596, 52147, 52009, 51490, 51038, 50799, 57853, 50812, 52650, 51128, 50416, 53267, 51126, 50418, 52697, 58387, 53039, 73192, 54428, 65869, 54723, 56323, 51251, 51333, 50852, 51258, 52016, 65184, 51088, 51330, 57853, 50833, 50906, 51196, 59526, 51678, 58959, 51113, 62742, 51306, 51701, 53581, 51165, 51079, 52072, 50972, 68674, 51004, 63535, 51703, 51165, 53849, 51426, 52204, 51088, 52720, 64884, 50942, 51001, 51977, 59526, 52009, 51490, 50426, 50852, 55379, 51093, 51703, 64884, 52938, 50982, 51716, 51490, 50450, 50852, 73068, 50906, 50921, 70127, 52256, 51395, 52441, 55908, 50878, 50877, 58415, 51004, 52471, 51961, 50422, 50877, 51500, 50426, 50852, 51004, 50430, 51375, 51210, 51357, 51210, 52252, 51142, 50434, 51113, 51174, 51093, 53535, 50313, 51362, 50843, 51004, 51716, 70448, 51201, 51330, 51113, 51449, 55908, 53330, 50982, 52547, 51108, 50439, 51107, 52056, 50450, 51093, 51738, 51395, 66719, 78782, 51129, 53034, 51108, 66140, 51166, 51107, 51753, 51154, 51449, 51251, 55174, 78638, 69539, 58101, 50982, 52009, 51481, 50420, 51107, 51432, 51201, 51079, 52547, 50972, 50422, 50902, 51685, 50426, 51284, 52212, 51304, 51447, 50852, 51004, 53372, 67608, 51088, 52204, 78638, 52938, 54044, 51201, 51074, 51284, 73775, 51004, 53051, 51079, 50455, 51201, 51753, 52547, 77146, 51107, 51432, 68674, 51004, 79152, 52136, 51182, 51965, 51426, 51748, 68741, 52854, 51004, 52471, 51637, 50426, 50852, 56761, 51426, 51387, 51088, 51079, 51678, 50972, 50434, 50956, 56983, 51201, 51806, 51107, 51333, 51299, 51447, 68741, 73045, 51215, 59526, 52547, 51709, 67655, 52741, 51093, 51074, 51395, 64675, 54762, 51129, 53034, 57092, 51357, 51432, 51107, 51079, 52009, 50972, 50458, 50861, 56593, 51004, 66140, 51166, 51488, 51079, 51794, 51449, 51301, 51243, 57375, 50942, 50861, 51175, 59526, 52736, 59288, 51488, 51074, 51266, 50972, 52295, 67132, 51028, 51977, 50426, 51182, 51490, 51394, 51447, 50852, 51258, 53909, 67608, 57375, 51373, 67421, 51284, 51079, 53051, 55437, 51201, 64675, 51013, 50852, 51258, 50455, 51182, 51753, 52471, 77146, 51266, 51074, 50799, 51600, 52056, 51107, 51333, 52065, 51314, 51491, 52204, 51113, 51801, 59213, 53330, 51004, 53608, 51806, 50415, 50989, 51655, 50426, 51113, 51703, 51488, 51447, 50852, 51129, 52736, 67608, 51794, 51243, 50696, 50277, 53330, 54044, 51284, 51333, 51905, 51333, 50852, 51004, 55031, 51330, 68674, 51004, 50799, 51600, 51922, 59213, 50810, 52155, 51333, 54019, 51108, 58907, 50415, 51284, 51671, 53051, 51449, 50426, 52202, 51166, 54577, 62742, 54075, 52671, 51074, 54568, 54938, 52065, 51314, 50696, 50277, 50833, 51596, 52056, 52494, 79202, 53421, 52671, 51074, 54568, 62742, 54616, 52202, 51074, 54577, 51277, 68674, 60323, 51299, 51243, 51154, 52204, 50799, 56577, 50937, 51596, 51490, 52494, 51080, 50791, 54953, 50852, 54203, 57375, 50878, 50871, 51551, 51789, 51330, 52882, 64003, 54044, 51596, 51466, 52494, 63438, 51004, 68674, 60323, 51638, 52204, 67378, 55392, 57853, 59375, 53435, 51606, 52011, 51686, 51333, 52614, 61578, 53896, 51789, 52212, 51565, 52212, 50852, 51004, 50427, 52203, 67608, 57853, 55690, 54044, 51606, 51074, 51686, 51166, 52614, 55559, 56077, 51565, 51884, 51827, 51166, 52849, 51328, 50461, 51301, 52204, 50799, 64884, 50833, 51827, 51703, 51886, 51703, 59526, 50415, 53767, 51749, 63715, 50910, 56248, 66587, 67109, 50916, 56230, 54203, 51299, 55392, 64884, 67885, 51090, 51686, 51466, 51673, 51333, 52900, 71782, 53421, 51565, 51466, 51827, 52011, 50852, 51004, 50451, 52849, 51199, 50458, 50916, 50940, 50799, 51883, 51313, 55908, 50833, 50916, 51030, 51686, 51466, 51673, 51333, 52900, 51108, 58907, 50422, 50877, 51977, 50426, 51789, 52916, 51752, 52916, 50852, 51129, 50427, 52882, 52140, 50438, 55908, 52938, 65112, 51266, 51753, 50444, 53064, 69265, 51301, 72887, 51154, 51166, 51284, 51753, 51996, 51212, 50852, 56077, 51304, 50905, 51113, 52518, 52196, 50905, 68674, 50982, 50799, 51690, 51939, 78638, 50862, 51836, 51244, 59526, 50415, 51201, 52916, 51154, 52335, 51113, 51671, 51251, 51449, 52494, 54171, 63715, 61177, 50852, 51004, 50430, 50899, 57626, 78638, 66229, 50993, 52032, 58880, 53421, 51284, 51466, 52487, 50932, 52196, 63438, 66193, 50899, 71208, 50899, 50809, 50799, 52065, 51748, 52838, 55844, 70370, 78228, 58834, 51004, 50415, 51629, 53233, 51375, 52720, 51301, 52337, 52541, 51449, 50426, 50852, 51129, 50430, 50916, 68624, 50871, 63342, 54203, 51251, 51447, 70370, 68877, 70817, 54044, 50899, 51566, 50852, 51004, 50799, 51794, 52503, 57375, 51682, 50305, 51941, 53064, 51313, 58907, 50422, 54294, 51481, 51558, 51852, 50426, 50852, 51129, 50430, 52487, 51309, 51284, 51645, 50438, 52838, 51309, 51629, 51709, 57375, 51437, 51004, 50448, 51905, 70941, 51488, 56881, 51811, 63713, 51004, 50451, 51395, 50912, 50452, 51733, 66663, 51266, 50864, 52405, 68935, 51600, 50907, 52838, 63652, 52487, 50867, 51629, 50907, 68674, 60078, 51284, 50864, 54294, 65315, 51558, 61561, 56939, 50878, 50799, 51905, 50822, 50696, 50277, 53425, 50916, 55965, 50877, 52728, 50968, 50914, 50799, 51488, 51314, 51491, 51449, 51251, 52829, 60842, 50942, 50968, 51343, 50426, 50852, 51258, 50433, 50902, 53415, 51357, 51314, 60842, 50854, 50902, 51933, 59526, 50446, 53780, 51645, 50450, 50852, 79104, 52196, 51423, 68674, 51004, 50799, 51488, 51314, 51375, 55392, 70370, 53330, 51004, 50415, 52541, 53478, 50426, 50852, 55379, 51491, 51314, 51357, 51449, 70370, 52217, 71102, 50956, 52596, 50852, 51004, 50451, 50916, 66604, 50902, 50805, 50799, 51794, 51801, 51301, 52204, 57375, 53340, 51004, 50416, 51028, 51655, 50426, 50852, 67109, 50843, 54203, 51491, 51080, 51113, 51080, 70370, 50836, 53780, 51080, 50791, 53421, 50852, 51129, 50799, 51488, 51166, 51266, 51432, 51375, 51449, 57375, 50862, 52541, 51243, 50791, 54605, 51107, 51166, 51600, 51884, 50426, 51266, 51470, 50852, 51004, 50427, 51629, 57524, 51600, 51166, 50433, 51284, 71113, 51733, 55392, 51905, 56004, 70370, 51421, 54406, 50916, 67081, 50852, 66193 ]

[ 0, 250, 5679, 26709, 5175, 15229, 4246, 10, 6755, 12547, 6, 1481, 677, 2957, 16940, 6, 5921, 3343, 1290, 642, 5255, 6, 8, 15054, 17838, 6, 2351, 10, 19448, 648, 2933, 5466, 20455, 9, 10, 822, 19834, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 204, 73, 306, 86, 6543, 6, 42, 765, 2214, 3136, 23, 10, 23667, 2877, 9, 19376, 13410, 228, 2289, 6, 19, 5, 33215, 16739, 9, 163, 428, 6, 272, 119, 6, 8, 272, 119, 406, 428, 245, 73, 597, 1271, 7, 63, 13363, 28191, 13569, 9862, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 58402, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51299, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 51394, 50807, 51154, 51291, 62811, 50807, 57389, 50807, 50454, 51251, 50967, 50799, 53623, 50918, 51304, 51605, 57088, 51605, 61090, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51107, 51358, 56333, 51358, 59800, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51638, 50918, 50446, 51304, 50807, 51251, 51291, 57088, 50807, 61090, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51394, 51605, 62811, 51605, 57389, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51699, 50918, 50430, 51426, 56039, 51699, 50918, 50446, 51426, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51182, 51358, 55839, 51358, 59613, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 65085, 51251, 51291, 57016, 50807, 60187, 50807, 50454, 51887, 50967, 50799, 52481, 50918, 51395, 52045, 57644, 52045, 59470, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 70809, 51154, 51291, 60768, 50807, 60768, 50807, 50454, 51251, 50967, 50799, 52481, 50918, 51395, 51358, 77990, 51358, 77990, 51358, 50422, 51638, 50918, 50430, 51426, 56039, 77853, 50446, 70809, 51426, 51291, 60768, 50807, 60768, 50807, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51358, 50728, 50335, 51358, 50728, 50335, 51358, 50422, 51699, 50918, 50430, 51299, 56039, 51426, 50918, 50446, 51395, 50807, 51299, 51291, 77990, 50807, 77990, 50807, 50454, 51699, 50967, 50799, 51887, 50918, 51394, 52045, 50728, 50338, 52045, 50728, 50338, 52045, 50422, 51299, 50918, 50430, 51426, 56039, 51165, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 50422, 51638, 50918, 50430, 51154, 56039, 51375, 50918, 50446, 51394, 50807, 51154, 51291, 62811, 50807, 57389, 50807, 50454, 51251, 50967, 50799, 53623, 50918, 51304, 51605, 57088, 51605, 61090, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51107, 51358, 56333, 51358, 59800, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51638, 50918, 50446, 51304, 50807, 51251, 51291, 57088, 50807, 61090, 50807, 50454, 51638, 50967, 50799, 52481, 50918, 51394, 51605, 62811, 51605, 57389, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52143, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51699, 50918, 50430, 51426, 56039, 51699, 50918, 50446, 51426, 51291, 50454, 51699, 50967, 50799, 51887, 50918, 51182, 51605, 55839, 51605, 59613, 51605, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51182, 51358, 55839, 51358, 59613, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 65085, 51251, 51291, 57016, 50807, 60187, 50807, 50454, 51887, 50967, 50799, 52481, 50918, 51395, 52045, 57644, 52045, 59470, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52481, 50918, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51395, 50807, 51426, 51291, 50454, 51638, 50967, 50799, 53623, 50918, 51395, 51605, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 51426, 51291, 50454, 51299, 50967, 50799, 53623, 50918, 51107, 51358, 50422, 52481, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 65085, 51426, 51291, 50454, 51299, 50967, 50799, 52776, 50918, 51395, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 52776, 50918, 51165, 51605, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 51887, 50918, 51375, 51358, 50422, 51299, 50918, 50430, 51426, 56039, 51299, 50918, 50446, 75840, 51426, 51291, 50454, 51299, 50967, 50799, 52602, 50918, 51375, 51358, 50422, 51887, 50918, 50430, 51251, 56039, 51887, 50918, 50446, 70809, 51251, 51291, 50454, 51887, 50967, 50799, 52481, 50918, 51088, 52045, 50422, 51638, 50918, 50430, 51426, 56039, 51638, 50918, 50446, 51426, 51291, 50454, 51638, 50967, 50799, 53599, 50918, 50422, 51638, 50918, 50430, 51794 ]

[ 0, 713, 17627, 17274, 3495, 2214, 6, 30291, 19, 232, 930, 16882, 6, 22750, 1626, 11098, 8, 7125, 4, 590, 10, 182, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 18, 10, 20902, 15229, 4246, 10, 11577, 11739, 9, 13305, 6, 21072, 6, 20535, 2810, 6, 32909, 6, 8, 2724, 368, 31365, 25999, 4, 8504, 11, 5, 762, 9, 211, 3694, 6, 5, 33215, 16739, 9, 211, 119, 6, 211, 406, 6, 272, 119, 6, 163, 428, 6, 8, 274, 3639, 7, 63, 15352, 30054, 2868, 6, 2351, 10, 1313, 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 ]

[ 50799, 50645, 50791, 50821, 51544, 79161, 50812, 52320, 50812, 52591, 51906, 50924, 51723, 51030, 53628, 52309, 51683, 50917, 51431, 50865, 52394, 59067, 51648, 50938, 51485, 50948, 52228, 56209, 52099, 50917, 51641, 50924, 52608, 57830, 51888, 50952, 51744, 51033, 52491, 50865, 52656, 51192, 51528, 55188, 50937, 51335, 50897, 53615, 70739, 50955, 51132, 50824, 51713, 51036, 51509, 51696, 51978, 51036, 52172, 51696, 51504, 50887, 75188, 50986, 50808, 50986, 50879, 51136, 50879, 50929, 50879, 51064, 50879, 51706, 51346, 51948, 51124, 55374, 61766, 51070, 50851, 66192, 51136, 50905, 65783, 51064, 50905, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51504, 50839, 63896, 51136, 50901, 65738, 51064, 50901, 51561, 50924, 53629, 50830, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51416, 50880, 50986, 50911, 51136, 50911, 71927, 51064, 50911, 59857, 51136, 51090, 50929, 51016, 51504, 51362, 51099, 51215, 53519, 50948, 51450, 66363, 51110, 51070, 50955, 51416, 51552, 74178, 51136, 50895, 50929, 50895, 51064, 53885, 51170, 50381, 56497, 60658, 50827, 50986, 50828, 51136, 66655, 50828, 51064, 50828, 51706, 50795, 51948, 50938, 55374, 52596, 51287, 51826, 63115, 51123, 51504, 50887, 67485, 75188, 80244, 50986, 51012, 51136, 51012, 50929, 51012, 51064, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 65930, 51136, 50849, 67291, 79400, 51708, 50807, 51578, 51157, 55165, 51157, 51528, 52715, 51100, 51070, 50955, 51132, 50824, 51504, 50839, 50986, 50879, 51136, 50879, 50970, 50879, 50947, 56179, 51170, 72560, 50897, 51070, 50851, 52099, 50865, 51641, 50948, 52608, 50948, 66192, 51136, 50905, 77661, 77458, 51561, 50849, 53629, 50938, 51544, 65072, 59345, 51022, 65373, 75188, 51504, 50800, 63896, 51136, 50901, 63960, 58993, 51099, 51294, 53519, 51362, 51974, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51416, 50882, 51648, 50865, 51485, 50936, 52228, 50938, 50986, 50911, 51136, 50911, 50970, 50911, 61734, 50970, 51016, 51136, 51226, 51504, 51294, 50986, 51091, 62434, 51014, 51782, 68817, 50805, 51070, 50955, 51416, 51761, 51683, 50805, 51431, 50893, 52394, 51158, 74178, 51136, 50895, 50970, 50895, 50947, 74440, 61944, 59345, 50827, 51906, 50795, 51723, 50893, 53628, 51173, 50986, 50828, 51136, 76769, 50828, 50947, 50828, 51708, 50917, 51578, 50800, 55165, 53639, 51240, 54262, 50608, 57047, 51123, 70952, 50970, 50880, 51504, 50858, 61270, 50986, 51012, 51136, 51012, 50970, 51012, 50947, 51012, 51706, 50830, 51948, 50812, 55374, 54418, 53005, 67822, 53277, 50608, 55237, 50941, 51913, 50812, 51898, 50800, 53880, 50936, 65930, 51136, 50849, 68859, 70696, 52040, 50952, 52461, 50808, 58889, 50812, 51528, 55188, 50937, 53615, 70739, 50955, 51526, 51072, 52002, 51091, 52067, 51226, 52172, 51541, 53979, 51090, 51246, 50938, 59241, 50970, 50879, 50947, 50879, 51032, 50879, 51280, 51159, 51837, 50901, 53481, 55099, 51070, 50851, 64484, 50970, 61793, 50838, 71314, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51246, 50836, 64856, 63557, 77661, 77458, 77667, 51144, 50938, 52709, 50910, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51132, 50811, 52366, 51204, 52336, 51362, 52436, 50896, 52833, 51294, 54765, 50970, 50911, 61734, 74731, 50960, 51091, 50970, 51091, 50947, 51294, 51246, 51091, 51119, 50873, 57473, 50825, 55165, 50924, 51450, 66363, 51110, 51070, 50955, 73646, 50960, 50884, 50970, 50895, 50947, 50895, 51032, 53885, 51170, 50381, 56497, 60658, 50827, 50960, 50841, 50970, 50828, 50947, 50828, 51032, 50828, 51198, 50937, 52353, 50878, 59150, 57006, 51287, 51826, 63115, 51123, 51713, 51036, 51509, 51469, 51978, 52392, 52436, 52392, 50970, 50887, 66483, 75727, 51246, 50830, 50960, 50923, 50970, 51012, 50947, 51012, 51032, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 63557, 77661, 77458, 77667, 51280, 51377, 51837, 51377, 53481, 51116, 51528, 52715, 51100, 51070, 50955, 51526, 51066, 69125, 59241, 50970, 50879, 50947, 50879, 51032, 56179, 51170, 72560, 50897, 51070, 50851, 64484, 50970, 61793, 50838, 71314, 51144, 50977, 52709, 50854, 51544, 65072, 59345, 51022, 79764, 65498, 63557, 77661, 77458, 77667, 51119, 50925, 55165, 50812, 51974, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51132, 51010, 54765, 50970, 50911, 61734, 74731, 56767, 50960, 51204, 50970, 51362, 51246, 51294, 51280, 51124, 51837, 51255, 53481, 59067, 50816, 51014, 51782, 68817, 50805, 51070, 50955, 73646, 50960, 50884, 50970, 50895, 50947, 50895, 51032, 74440, 61944, 59345, 50827, 50960, 50841, 50970, 50828, 50947, 50828, 51032, 50828, 72157, 52709, 50834, 55165, 54208, 51240, 54262, 50608, 57047, 51123, 51246, 50859, 73127, 73635, 70541, 50960, 50923, 50970, 51012, 50947, 51012, 51032, 51012, 51280, 50808, 51837, 50812, 53481, 52955, 53005, 67822, 53277, 50608, 55237, 50941, 63557, 77661, 77458, 77667, 51280, 50800, 51837, 50854, 53481, 50833, 51528, 55188, 50937, 53615, 70739, 50955, 51349, 50824, 65373, 75187, 51136, 57484, 50879, 50947, 50879, 51032, 56179, 51070, 50851, 52306, 50924, 52629, 50936, 52380, 50940, 65904, 60384, 73126, 71314, 51561, 50940, 53629, 50859, 51694, 51049, 64371, 50860, 52190, 60228, 51022, 51131, 50840, 68828, 51136, 50974, 65783, 77458, 77667, 51099, 50924, 53519, 50910, 51974, 50950, 51190, 53224, 50937, 51070, 50912, 51349, 51059, 52366, 50952, 52336, 50921, 52436, 50936, 60494, 71927, 61734, 74731, 50986, 51091, 51131, 51294, 50929, 51274, 51136, 52195, 51280, 50795, 51837, 50805, 53481, 50805, 51450, 66363, 51110, 51070, 50955, 52002, 50879, 52067, 50806, 52172, 50893, 51136, 50884, 50929, 50895, 50947, 50895, 51032, 53885, 51170, 50381, 56497, 60658, 50827, 51776, 50924, 51579, 50936, 51979, 50936, 51136, 50841, 50929, 50828, 50947, 50828, 51032, 50828, 51561, 50865, 74383, 53629, 50830, 53519, 58138, 51287, 51826, 63115, 51123, 51533, 51066, 51131, 50910, 71716, 51136, 50923, 50929, 51012, 50947, 51012, 51032, 60345, 50816, 51049, 67822, 51012, 53615, 50955, 51070, 50941, 52578, 50948, 52314, 51021, 52891, 51030, 51131, 50839, 50986, 50808, 51136, 50974, 65783, 77458, 77667, 51198, 51116, 52353, 51178, 59150, 51095, 51528, 52715, 51100, 51070, 50955, 51181, 51059, 59241, 51078, 50879, 50947, 50879, 51032, 56179, 51170, 72560, 50897, 51070, 50851, 51963, 50865, 52039, 50948, 54512, 50806, 64484, 51078, 61793, 50838, 71314, 51494, 50938, 54513, 50833, 51544, 65072, 59345, 51022, 51131, 50833, 75341, 63557, 78465, 77458, 77667, 79408, 55165, 51628, 50798, 50823, 51441, 51586, 51138, 52190, 59418, 50912, 51181, 50860, 51913, 51158, 51898, 51192, 53880, 51175, 54765, 51078, 50911, 61734, 74731, 50986, 51091, 50960, 51294, 51131, 51294, 51078, 51294, 51198, 51400, 52353, 51110, 59150, 51100, 62434, 51014, 51782, 68817, 50805, 51070, 50955, 51349, 51454, 51906, 50924, 51723, 51030, 53628, 50893, 50960, 50884, 51078, 50895, 50947, 50895, 51032, 74440, 61944, 59345, 50827, 51648, 51100, 51485, 51060, 52228, 50879, 50960, 50841, 51078, 50828, 50947, 50828, 51032, 50828, 51708, 50840, 51578, 50846, 55165, 53057, 51240, 54262, 50608, 57047, 51123, 51602, 50993, 50960, 50887, 51131, 50858, 61270, 50960, 50923, 51078, 51012, 50947, 51012, 51032, 51012, 52477, 50887, 52381, 50887, 57473, 54166, 53005, 67822, 53277 ]

[ 0, 4688, 20425, 5175, 3836, 2214, 4246, 38668, 20535, 6, 6755, 12547, 6, 16867, 6, 20535, 483, 6, 8, 38668, 9590, 6, 2351, 10, 15352, 30054, 8, 3366, 219, 5466, 4, 8504, 11, 163, 3694, 19, 10, 204, 73, 306, 86, 6543, 6, 5, 1349, 3136, 23, 41, 12447, 1001, 20889, 9, 19446, 163, 5683, 6, 19, 5, 33215, 16739, 381, 406, 8, 272, 73, 250, 8165, 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 ]

[ 54458, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 53260, 52972, 51759, 50908, 52016, 52017, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50974, 55052, 58453, 62131, 54446, 54029, 58188, 52992, 52987, 50905, 53714, 50901, 52408, 50901, 53190, 50901, 52751, 50838, 53431, 56396, 51187, 58388, 52844, 52987, 52168, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 53486, 50852, 73189, 51170, 59347, 51170, 59131, 51170, 57540, 51170, 53040, 51971, 51175, 51584, 52722, 51902, 52722, 52075, 52722, 66300, 56198, 54586, 51170, 54778, 61970, 51971, 51294, 50852, 54763, 53595, 53431, 56396, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 75497, 51240, 59546, 51240, 50891, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 56837, 50833, 53260, 52972, 51759, 50908, 52016, 52017, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50974, 55052, 58453, 62131, 54446, 54029, 58188, 52639, 52987, 50905, 53714, 50901, 52408, 50901, 53190, 50845, 52751, 50838, 53431, 56396, 51187, 58388, 52844, 52987, 51680, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 54829, 50852, 73189, 51170, 56516, 51170, 59131, 51170, 57514, 51170, 53040, 51971, 51175, 51584, 52722, 51902, 52722, 52075, 52722, 66300, 57071, 55933, 51170, 54778, 61970, 51971, 51362, 50852, 54763, 53595, 53431, 57517, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 68430, 51240, 61969, 51240, 50891, 50799, 52987, 50802, 53714, 50802, 52408, 50802, 53190, 50802, 52751, 50802, 56837, 50812, 53260, 53632, 51759, 50908, 52016, 51469, 52091, 51469, 51701, 52017, 50417, 53472, 53728, 52987, 50795, 53714, 50849, 52408, 50805, 53190, 50873, 52751, 50838, 55052, 58453, 62131, 53744, 54029, 58188, 52992, 52987, 50905, 53714, 50873, 52408, 50845, 53190, 50901, 52751, 50838, 53431, 56340, 51187, 58388, 52844, 52987, 52168, 53714, 52015, 52408, 51803, 53190, 51680, 52751, 54829, 50852, 73189, 51170, 59347, 51170, 59131, 51170, 57514, 51170, 52600, 52678, 51158, 51902, 53700, 52075, 53700, 52792, 53700, 66300, 56198, 55933, 51170, 54778, 61970, 52678, 51941, 50852, 54763, 53595, 53431, 57517, 51187, 54038, 50852, 67239, 51240, 57950, 51240, 68430, 51240, 61969, 51240, 50891, 69036, 55580, 51759, 50908, 52906, 62131, 53744, 50852, 52639, 52645, 50975, 53431, 56340, 51187, 58388, 52844, 50852, 73189, 51170, 59347, 51170, 60591, 51170, 57540, 51170, 52600, 53386, 51072, 56498, 53778, 50949, 54268, 53325, 52235, 50879, 50920, 53528, 50920, 53057, 53386, 51735, 51525, 56289, 52793, 54119, 50841, 54287, 53685, 52678, 51215, 50843, 52786, 50883, 55975, 52786, 50817, 52308, 50275, 57520, 55453, 55927, 53378, 55772, 51971, 51290, 53378, 56138, 51135, 60991, 52408, 50904, 61236, 51525, 54739, 51463, 51437, 58832, 53378, 53998, 52475, 51407, 53378, 55316, 54497, 56356, 52408, 57072, 52600, 51320, 57502, 53378, 54305, 52235, 50893, 53378, 51559, 54497, 56156, 52408, 52800, 51525, 54749, 51463, 51406, 61362, 52678, 51238, 53378, 54319, 53378, 53340, 53301, 56924, 52408, 57812, 50820, 52308, 50275, 51029, 51971, 51013, 54958, 51005, 55265, 53378, 54507, 53378, 52675, 54497, 55893, 52408, 50840, 58522, 51525, 54749, 51463, 51467, 58832, 53378, 52359, 52475, 51407, 53378, 52304, 54497, 53593, 52408, 54078, 52909, 52600, 51320, 57502, 53378, 54815, 53378, 51864, 54497, 54739, 53851, 52408, 50930, 60899, 51525, 54739, 51463, 51467, 61362, 53378, 56354, 53378, 52853, 54497, 54943, 51971, 50890, 52408, 70160, 50835, 60139, 51029, 51992, 50858, 50661, 50351, 51589, 58597, 50817, 57727, 53073, 58684, 51274, 61610, 52570, 59049, 53073, 50417, 52648, 57188, 51992, 50884, 52648, 50962, 75879, 55999, 54497, 54579, 51992, 50952, 52117, 55447, 50661, 50344, 50955, 51525, 54749, 51463, 51467, 58832, 51971, 50940, 52648, 54053, 53386, 51407, 52648, 50880, 78632, 56835, 54497, 50846, 70730, 56300, 50435, 51992, 50952, 52117, 54459, 80215, 50987, 51320, 56432, 52235, 50858, 52648, 54815, 52648, 50887, 64495, 61098, 54497, 55354, 53399, 51227, 52117, 55268, 62527, 50978, 51525, 54739, 51463, 51406, 61362, 52648, 55433, 65953, 58997, 53021, 54497, 54370, 52117, 50840, 60139, 51029, 62527, 50978, 54958, 51005, 55265, 52648, 54507, 52648, 50836, 64495, 56835, 54497, 54069, 52117, 50836, 61236, 80215, 50955, 51525, 54739, 51463, 51437, 58832, 52648, 54216, 53386, 50802, 52648, 50862, 78632, 53199, 54497, 54665, 52117, 57812, 52621, 52660, 50802, 50661, 50344, 53983, 50898, 57502, 52648, 53524, 53386, 51012, 52235, 51215, 52648, 50813, 75879, 51589, 54497, 54926, 52117, 51559, 53068, 52587, 50802, 50661, 50351, 54023, 50559, 54749, 51463, 51467, 61362, 52678, 51235, 52648, 54199, 52713, 50923, 52648, 53065, 53301, 54625, 52117, 50867, 52308, 50275, 51029, 51971, 51073, 54958, 51005, 55265, 53378, 55394, 53378, 53065, 54497, 53744, 52408, 50867, 61236, 51525, 54749, 51463, 51467, 58832, 53378, 53860, 52475, 51407, 53378, 53111, 54497, 54487, 52408, 58122, 52600, 51320, 56432, 53378, 53524, 52235, 50879, 53378, 53340, 54497, 54847, 52408, 50862, 59848, 51525, 54739, 51463, 51467, 61362, 52235, 51235, 53378, 54583, 53378, 52873, 53301, 54814, 52408, 57812, 50820, 52308, 50275, 51029, 53399, 53734, 58597, 55265, 53378, 54402, 52678, 50879, 53378, 52675, 54497, 54316, 52408, 50836, 58522, 52235, 51013, 51525, 54739, 51463, 51467, 58832, 53378, 53810, 52475, 51407, 53378, 51421, 54497, 54002, 52408, 52467, 52909, 53040, 51320, 57502, 53378, 55489, 53378, 52304, 56583, 52087, 54525, 52408, 54755, 51525, 54749, 51463, 51467, 61362, 53378, 54663, 53378, 57148, 51464, 60451, 52408, 58724, 50825, 60139, 51029, 51992, 50895, 50661, 50351, 53199, 58597, 50817, 57727, 53073, 58684, 51274, 61610, 53601, 59049, 53501, 50417, 51992, 50858, 52648, 57242, 52648, 50962, 75879, 55999, 54497, 54477, 51992, 50924, 52117, 55447, 50661, 50344, 50959, 51525, 54749, 51463, 51467, 58832, 51971, 50924, 52648, 55736, 53386, 51407, 52648, 51010, 78632, 61098, 54497, 50841, 70730, 52903, 50435, 51992, 50893, 52117, 70160, 52766, 80215, 50978, 51320, 56432, 52235, 50924, 52648, 52940, 52648, 50811, 64495, 61098, 54497, 54926, 53399, 51227, 52117, 52768, 62527, 50987, 51525, 54739, 51463, 51467, 61362, 52648, 56354, 52648, 50930, 58997, 54265, 54497, 54814, 52117, 58724, 50835, 60139, 51029, 62527, 50987, 54958, 51005, 55265, 52648, 55180, 52648, 50887, 64495, 56835, 54497, 54069, 52117, 50887, 61236, 80215, 50959, 51525, 54739, 51463, 51437, 58832, 52648, 53810, 53386, 50802, 52648, 50836, 78632, 53199, 54497, 54002, 52117, 57047, 52600, 52660, 50802, 53399, 51175, 50661, 50344, 52923, 50898, 57502, 52648, 54247, 53386, 51012, 52648, 50813, 75879, 51589, 54497, 54926, 53085, 51215, 52117, 52800, 52587, 50802, 50661, 50351, 52346, 50559, 54749, 51463, 51406, 61362, 52648, 54199, 52713, 50923, 53727, 50948, 52648, 54738, 51406, 57841, 52117, 57194, 50825, 60139, 50975, 53727, 51896, 50798, 52885, 50846, 52233, 51036, 52091, 51655, 51678, 53073, 50415, 51301, 52311, 50420, 55668, 52502, 51135, 60991, 53354, 51179, 52992, 52587, 64825, 54739, 51463, 51467, 58832, 55668, 52927, 53354, 51239, 54497 ]

[ 0, 250, 19448, 5175, 25771, 2214, 4246, 4401, 757, 3178, 6, 1893, 43639, 6, 3689, 21072, 6, 8, 21072, 6, 2351, 10, 15352, 30054, 8, 2829, 2933, 5466, 10686, 13, 822, 4, 590, 10, 7212, 20889, 9, 16491, 741, 1685, 6, 24, 18, 11, 204, 73, 306, 86, 8, 5, 762, 9, 230, 538, 6, 21437, 10, 33215, 16739, 9, 272, 406, 6, 230, 6, 274, 6, 230, 6, 274, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50913, 55376, 50913, 52639, 50913, 55477, 50913, 52417, 50913, 52600, 50913, 55698, 50913, 52725, 50913, 55223, 50913, 52579, 50913, 50820, 51528, 52755, 62793, 53745, 50572, 50955, 50415, 50913, 53223, 52428, 52439, 53450, 50913, 65233, 50378, 63599, 53513, 51925, 50379, 53221, 50955, 51450, 52755, 65233, 53745, 50572, 63959, 53257, 54004, 50913, 78846, 54023, 50612, 53920, 51925, 78829, 50878, 51528, 52755, 50379, 53746, 58370, 68621, 50913, 53223, 52428, 52439, 67614, 55440, 50913, 65233, 50378, 63599, 52658, 51925, 50379, 63599, 67614, 60157, 52365, 50810, 51450, 52502, 50379, 53746, 58370, 53745, 50572, 58991, 52365, 52843, 50913, 65233, 53920, 59896, 72078, 78829, 50878, 50799, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 50878, 50415, 50913, 53223, 58508, 50860, 52243, 52439, 52654, 50913, 65233, 50378, 63599, 52658, 59896, 72078, 50379, 53221, 58927, 58508, 50860, 52243, 50875, 65233, 53745, 50572, 63634, 58508, 50860, 53257, 54276, 50913, 78846, 53597, 50612, 53920, 58508, 50802, 51925, 78829, 50942, 50799, 56849, 50860, 52243, 50875, 50379, 53746, 53597, 50612, 68621, 50913, 53223, 58508, 50860, 52243, 52439, 53597, 50572, 57629, 58508, 63724, 65233, 50378, 63599, 53911, 59896, 72078, 50379, 53221, 58927, 58508, 53236, 52245, 65233, 53745, 50572, 63634, 58508, 54554, 50913, 50379, 53746, 53597, 50612, 53920, 55807, 72078, 78829, 50942, 50799, 56228, 53236, 52245, 65233, 53745, 50572, 50925, 50415, 50913, 53223, 56228, 53236, 61526, 53049, 50913, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 53221, 58866, 56228, 53236, 52245, 65233, 53745, 50572, 62063, 56228, 50860, 53257, 53639, 50913, 78846, 53376, 50612, 53920, 56228, 50802, 51925, 78829, 50925, 50799, 55398, 50860, 52613, 50875, 50379, 53746, 53376, 50612, 68621, 50913, 53223, 56228, 50860, 52613, 53746, 78829, 65647, 52365, 53049, 56228, 63724, 65233, 50378, 63599, 53627, 55807, 72078, 50379, 54502, 78829, 58866, 56228, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 56228, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 59896, 50860, 53257, 52757, 50612, 78829, 50897, 50799, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 79069, 50913, 53223, 58508, 50860, 52613, 52439, 52710, 50913, 65233, 50378, 63599, 52749, 59896, 72078, 50379, 53221, 56057, 58508, 50860, 52613, 50875, 65233, 53745, 50572, 58937, 58508, 50860, 53257, 52848, 50913, 78846, 52757, 50612, 53920, 58508, 50802, 51925, 78829, 50897, 50799, 56849, 50860, 52615, 50875, 50379, 53746, 52757, 50612, 68621, 50913, 53223, 58508, 50860, 52615, 53746, 63838, 68018, 52365, 52450, 58508, 63724, 65233, 50378, 63599, 52559, 59896, 72078, 50379, 54502, 63838, 56983, 58508, 50860, 52615, 50875, 65233, 53745, 50572, 60204, 58508, 50860, 53257, 52741, 50913, 78846, 52476, 50612, 53920, 55807, 50860, 53257, 52476, 50612, 78829, 50910, 50799, 56228, 50860, 52615, 50875, 71958, 77290, 50913, 53223, 56228, 53236, 53516, 55398, 54684, 55398, 55276, 55398, 50860, 52615, 79052, 56843, 56677, 54554, 58865, 55273, 55398, 51184, 50799, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 51014, 50416, 50816, 52432, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50802, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 55807, 51009, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 50663, 50285, 50865, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52588, 50937, 53368, 50937, 53163, 50937, 50663, 50285, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 53368, 51377, 53163, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 50378, 52272, 50844, 50799, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 78934, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56228, 50917, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 50860, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 56228, 50860, 78934, 50865, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51066, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 50937, 78934, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 52588, 51377, 54083, 51377, 52787, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 56677, 51066, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 52588, 50937, 54083, 50937, 52787, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 55398, 50860, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 56228, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 58508, 51300, 50663, 50290, 50865, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 64491, 54023, 50572, 53402, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 52631, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 53350, 50937, 52631, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50663, 50290, 51091, 64423, 53473, 67123, 51700, 62284, 72901, 72207, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 56228, 51066, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 59215, 53498, 51989, 58678, 52559, 50663, 50290, 50865, 53350, 50937, 54453, 50937, 53368, 60716, 51989, 64491, 54023, 50572, 53402, 55398, 51059, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 50937, 50663, 50290, 51291, 64423, 53473, 53498, 51989, 50383, 52638, 63838, 54630, 53350, 51377, 54453, 51377, 53368, 51377, 55231, 51377, 50856, 51989, 50378, 52272, 54004, 50843, 53498, 51989, 64115, 50381, 58934, 52935, 56228, 50860, 53350, 50937, 54453, 50937, 53368, 50937, 55231, 60716, 51989, 50378, 52272, 50844, 50799, 56228, 50860, 52564, 51377, 52588, 51377, 53368, 51377, 53163, 51377, 50663, 50285, 51091, 64423, 53473, 53498, 51989, 62284, 72901, 72207, 55807, 51066, 56639, 51989, 50378, 52638, 50844, 52111, 53901, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 59215, 53498, 51989, 58678, 52559, 55807, 51066, 50663, 50285, 50865, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 60716, 51989, 64491, 54023, 50572, 53402, 52564, 50937, 52588, 50937, 53368, 50937, 53163, 50937, 50663 ]

[ 0, 250, 15352, 30054, 8, 17627, 17274, 3495, 8, 5175, 2214, 4246, 10, 13305, 6, 16224, 1097, 483, 6, 33704, 5675, 22052, 6, 2236, 1021, 2678, 29, 6, 8, 21072, 4, 8504, 11, 5, 762, 9, 230, 538, 19, 10, 1769, 20889, 9, 13950, 741, 1685, 6, 42, 2214, 11498, 10, 204, 73, 306, 86, 6543, 1328, 4, 20, 33215, 16739, 9, 211, 6, 3676, 406, 6, 8, 1918, 406, 3639, 7, 5, 2214, 18, 33558, 8, 2365, 619, 6, 442, 24, 1969, 13, 10, 3143, 9, 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 ]

[ 56236, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 53465, 52337, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 51358, 52537, 51358, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50839, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 50891, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 50918, 52537, 50918, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 55760, 50795, 51964, 50795, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 56387, 50983, 52176, 50983, 66780, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 66780, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 66780, 64762, 71168, 56941, 50977, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 56387, 50807, 52176, 50807, 67334, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 58001, 50807, 52533, 50807, 51144, 78922, 51489, 50807, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 52785, 50918, 51876, 50918, 51144, 50918, 51119, 50918, 51153, 52382, 51374, 50924, 56941, 51470, 54826, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 51094, 50273, 51364, 52684, 51939, 56578, 51470, 57976, 51254, 56430, 51470, 62393, 53576, 56578, 51470, 57976, 51470, 56430, 51254, 50856, 52870, 56578, 50977, 57976, 50917, 56430, 58224, 52893, 52667, 52785, 50795, 51876, 50795, 51280, 50795, 66780, 63439, 58154, 50924, 56578, 51166, 57976, 51079, 56430, 51166, 63405, 53116, 52785, 50807, 51876, 50807, 51280, 50807, 67334, 78582, 58154, 50924, 56578, 51470, 57976, 51254, 56430, 51470, 62393, 53239, 58154, 50879, 56578, 51470, 57976, 51470, 56430, 51254, 50856, 53083, 53366, 50807, 51869, 50807, 78261, 71269, 51429, 50807, 51844, 50924, 54008, 51097, 56314, 50977, 54826, 50977, 59443, 69234, 54528, 53390, 52270, 52193, 51181, 50924, 56314, 51470, 59443, 50891, 59443, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 54062, 52337, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 51358, 52537, 51358, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 51374, 50924, 56941, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 60310, 50983, 52537, 50983, 64227, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 64227, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 64227, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 60310, 50918, 52537, 50918, 71269, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 50891, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 51099, 50983, 51429, 50983, 51489, 50983, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50839, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 55760, 50795, 51964, 50795, 51374, 50924, 56941, 51470, 55847, 50891, 55847, 51079, 63405, 50841, 50799, 56387, 50983, 52176, 50983, 66780, 64762, 71168, 51844, 51364, 56941, 51470, 54826, 50891, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53576, 66780, 73201, 61565, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 52870, 66780, 64762, 71168, 56941, 50977, 54826, 50839, 54826, 50917, 56430, 50917, 55847, 58224, 52893, 52667, 56387, 50807, 52176, 50807, 67334, 51429, 50807, 51275, 50807, 51844, 50924, 56941, 51166, 54826, 51079, 56430, 51079, 55847, 51166, 63405, 50841, 57552, 50924, 56941, 51470, 54826, 51254, 56430, 51254, 55847, 51470, 62393, 53239, 58001, 50807, 52533, 50807, 51144, 78922, 51489, 50807, 51844, 51073, 56941, 51470, 54826, 51470, 56430, 51470, 55847, 51254, 50856, 53083, 56941, 50977, 54826, 50977, 56430, 50977, 55847, 69234, 54528, 53390, 52270, 52193, 52785, 50918, 51876, 50918, 51144, 50918, 51119, 50918, 51153, 52382, 58154, 51300, 73731, 51109, 55242, 51109, 53682, 52392, 50798, 56253, 50796, 51510, 52870, 73731, 51097, 55242, 51097, 50852, 52975, 52785, 50795, 51876, 50795, 51280, 50795, 66780, 63439, 58154, 50924, 52855, 52897, 58406, 52060, 53294, 52785, 50807, 51876, 50807, 51280, 50807, 67334, 78582, 58154, 51013, 51728, 52418, 55757, 51046, 51221, 51553, 53041, 51456, 54926, 50946, 53376, 50576, 53083, 53366, 50807, 51869, 50807, 68946, 64227, 73201, 51844, 50924, 50988, 50943, 51042, 50833, 51942, 50943, 51329, 50943, 51326, 54944, 50935, 53376, 50574, 52881, 51232, 65961, 50924, 50935, 50873, 52855, 52082, 54814, 51007, 53835, 50883, 67094, 51492, 51232, 50795, 64227, 64762, 51844, 51364, 52553, 53576, 68946, 64227, 51429, 51370, 52870, 51232, 50795, 64227, 51153, 57599, 51253, 55347, 56670, 51020, 51109, 51023, 51109, 51092, 69558, 78261, 71269, 51429, 50807, 51844, 50924, 52553, 50841, 57552, 51364, 52553, 53041, 52040, 50807, 71269, 63350, 51089, 51253, 51020, 64429, 51041, 56688, 51020, 51109, 51023, 51109 ]

[ 0, 250, 15352, 30054, 5175, 2125, 19, 10, 2842, 9, 15855, 2712, 6, 4246, 10, 3741, 27374, 594, 25, 5, 6922, 10320, 4, 8504, 11, 10, 155, 73, 398, 86, 6543, 8, 10, 7212, 20889, 6, 24, 7630, 6568, 10, 1472, 9, 23975, 1825, 8, 26545, 6, 19, 41, 7482, 11602, 9, 15073, 4, 20, 2214, 6, 1982, 11, 5, 762, 9, 211, 538, 6, 16, 3487, 765, 11, 13428, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 52323, 50630, 50420, 54981, 50802, 52118, 61874, 53489, 52030, 53074, 52125, 54832, 52313, 53385, 50802, 52323, 52779, 52410, 62133, 50802, 52724, 61874, 55358, 52030, 54122, 52125, 54981, 52313, 53489, 50802, 52323, 53074, 52410, 54832, 50802, 52508, 61874, 53385, 52030, 52779, 52125, 52360, 52313, 52880, 50802, 52323, 52345, 52410, 54981, 50802, 52118, 61874, 53489, 52030, 53074, 52125, 54832, 52313, 53385, 50802, 52323, 52779, 52410, 50658, 50334, 50823, 52360, 54433, 62133, 53537, 50658, 50334, 50823, 52880, 55396, 62133, 54179, 50658, 50334, 50823, 52345, 54241, 62133, 53925, 50658, 50334, 50823, 52118, 56119, 62133, 55380, 50658, 50334, 50823, 53469, 55373, 62133, 50823, 52323, 50658, 50334, 50823, 52760, 56778, 62133, 55573, 64974, 50823, 52508, 54433, 50658, 50334, 53537, 64974, 50823, 52724, 55396, 50658, 50334, 54179, 64974, 50823, 55424, 54241, 50658, 50334, 53925, 62133, 50823, 53854, 56119, 50658, 50334, 55380, 64974, 50802, 53874, 50824, 52323, 55358, 52410, 62133, 50802, 52724, 54107, 54122, 52030, 54981, 50802, 52508, 58769, 53489, 52313, 53074, 50802, 55227, 50824, 52323, 54832, 52410, 71902, 53074, 54107, 55358, 52030, 54832, 50802, 52345, 53663, 53489, 52313, 53074, 50802, 72228, 52323, 54832, 52410, 52880, 50824, 53074, 54107, 55358, 52030, 53489, 50802, 53469, 53663, 54122, 52313, 54981, 50802, 74759, 52323, 53489, 52410, 71902, 54981, 54107, 55358, 52030, 54832, 50802, 52345, 53663, 53489, 52313, 53074, 50802, 72228, 52323, 54832, 52410, 52880, 50824, 53074, 54107, 55358, 52030, 53489, 50802, 53469, 53663, 54122, 52313, 54981, 50802, 74759, 52323, 53489, 52410, 54981, 51066, 52118, 66489, 52779, 52030, 62133, 50823, 53469, 54241, 55358, 53925, 62133, 50823, 52345, 56119, 55358, 55380, 62133, 50823, 52118, 55373, 55358, 50823, 52323, 62133, 50823, 53469, 56778, 55358, 52410, 52118, 66489, 52779, 52030, 62133, 50823, 52345, 54241, 55358, 53925, 62133, 50823, 52360, 56119, 55358, 55380, 62133, 50823, 52880, 55373, 55358, 50823, 52323, 62133, 50823, 52345, 56778, 55358, 52410, 52880, 66489, 52779, 52030, 62133, 50823, 53469, 54241, 55358, 53925, 62133, 50823, 52345, 56119, 55358, 55380, 62133, 50823, 52118, 55373, 55358, 50823, 52323, 62133, 50823, 53469, 56778, 55358, 52410, 52118, 66489, 52779, 52030, 62133, 50823, 52345, 54241, 55358, 53925, 62133, 50823, 52360, 56119, 55358, 55380, 62133, 50823, 52880, 55373, 55358, 50823, 52323, 62133, 50823, 52345, 56778, 55358, 55573, 62133, 50823, 52880, 54433, 55358, 53537, 62133, 50823, 52779, 55396, 55358, 54179, 52345, 50802, 54122, 53663, 52360, 52313, 76281, 54981, 50824, 52323, 52880, 52410, 53469, 50802, 53489, 54107, 52345, 52030, 52760, 50802, 53074, 53663, 52118, 52313, 52508, 50802, 54832, 50824, 52323, 53469, 52410, 54750, 50802, 53385, 54107, 52760, 52030, 55424, 50802, 52779, 53663, 52508, 52313, 53854, 50802, 54267, 50824, 52323, 54750, 52410, 53874, 50802, 52880, 54107, 55424, 52030, 60229, 50802, 52345, 53663, 53854, 52313, 56165, 50802, 71902, 52323, 53874, 52410, 53469, 50802, 55227, 54107, 53489, 52030, 54267, 50802, 52760, 53663, 53385, 52313, 52779, 50802, 71902, 52323, 54267, 52410, 53469, 50824, 52779, 54107, 54832, 52030, 53385, 50802, 54750, 53663, 53074, 52313, 54832, 50802, 53854, 50824, 52323, 53385, 52410, 74759, 54832, 54107, 53489, 52030, 54267, 50802, 52760, 53663, 53385, 52313, 52779, 50802, 71902, 52323, 54267, 52410, 53469, 50824, 52779, 54107, 54832, 52030, 53385, 50802, 54750, 53663, 53074, 52313, 54832, 50802, 53854, 50824, 52323, 53385, 52410, 54832, 51066, 52508, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 52760, 54241, 53489, 53925, 54981, 50823, 52118, 56119, 53489, 55380, 54981, 50823, 53469, 55373, 53489, 50823, 52323, 54981, 50823, 52760, 56778, 53489, 52410, 53469, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 53854, 54241, 53489, 53925, 54981, 50823, 54750, 56119, 53489, 55380, 54981, 50823, 55424, 55373, 53489, 50823, 52323, 54981, 50823, 53854, 56778, 53489, 52410, 55424, 66489, 52345, 52030, 54981, 50823, 60229, 54241, 53489, 53925, 54981, 50823, 53854, 56119, 53489, 55380, 54981, 50823, 53874, 55373, 53489, 50823, 52323, 54981, 50823, 60229, 56778, 53489, 52410, 53874, 52038, 52345, 52030, 59633, 50823, 52118, 54241, 54981, 53925, 59633, 50823, 53469, 56119, 54981, 55380, 59633, 50823, 52760, 55373, 54981, 50823, 52323, 59633, 50823, 52508, 56778, 54981, 55573, 53489, 50802, 54750, 54107, 53074, 52030, 54832, 50802, 53854, 53663, 53385, 52313, 52779, 50802, 55424, 50824, 52323, 54832, 52410, 53385, 50802, 53874, 54107, 53074, 52030, 54832, 50802, 53854, 58769, 53385, 52313, 52779, 50802, 56024, 50824, 52323, 54267, 52410, 52508, 51072, 54832, 54107, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 52760, 54241, 53489, 53925, 54981, 50823, 52118, 56119, 53489, 55380, 54981, 50823, 53469, 55373, 53489, 50823, 52323, 54981, 50823, 52760, 56778, 53489, 52410, 53469, 66489, 52345, 52030, 54981, 50823, 54750, 54241, 53489, 53925, 54981, 50823, 52760, 56119, 53489, 55380, 54981, 50823, 52508, 55373, 53489, 50823, 52323, 54981, 50823, 54750, 56778, 53489, 52410, 52508, 66489, 52345, 52030, 54981, 50823, 53854, 54241, 53489, 53925, 54981, 50823, 54750, 56119, 53489, 55380, 54981, 50823, 55424, 55373, 53489, 50823, 52323, 54981, 50823, 53854, 56778, 53489, 52410, 55424, 66489, 52345, 52030, 54981, 50823, 60229, 54241, 53489, 53925, 54981, 50823, 53854, 56119, 53489, 55380, 54981, 50823, 53874, 55373, 53489, 50823, 52323, 54981, 50823, 60229, 56778, 53489, 52410, 53874, 52038, 52345, 52030, 59633, 50823, 52118, 54241, 54981, 53925, 59633, 50823, 53469, 56119, 54981, 55380, 59633, 50823, 52760, 55373, 54981, 50823, 52323, 59633, 50823, 52508, 56778, 54981, 55573, 53489, 50802, 54750, 54107, 53074, 52030, 54832, 50802, 53854, 53663, 53385, 52313, 52779, 50802, 55424, 50824, 52323, 54832, 52410, 53385, 50802, 53874, 54107, 53074, 52030, 54832, 50802, 53854, 58769, 53385, 52313, 52779, 50802, 56024, 50824, 52323, 54267, 52410, 52779, 50802, 55227, 61874, 53489, 52030, 55358, 52125, 59633, 52313, 54981, 50802, 52323, 53489, 52410, 53074, 50802, 53874, 61874, 54832, 52030, 53385, 52125, 52779, 52313, 54267, 50802, 52323, 52880, 52410, 53489, 50802, 52345, 61874, 53074, 52030, 54832, 52125, 53385, 52313, 52779, 50802, 52323, 54267, 52410, 53074, 50823, 52779, 54433, 54832, 53537, 53074, 50823, 54267, 55396, 54832, 54179, 53074, 50823, 52880, 54241, 54832, 53925, 53074, 50823, 52345, 56119, 54832, 55380, 53074, 50823, 52118, 55373, 54832, 50823, 52323, 53074, 50823, 53469, 56778, 54832, 55573, 59633, 50823, 52118, 54433, 54981, 53537, 59633, 50823, 53469, 55396, 54981, 54179, 59633 ]

[ 0, 250, 2635, 8, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 18558, 6, 6755, 12547, 6, 38668, 20535, 6, 26432, 636, 3938, 22052, 6, 8, 2724, 368, 31365, 25999, 4, 20, 2125, 7630, 6568, 10, 2933, 8, 980, 219, 5466, 19, 10, 11602, 9, 1619, 4780, 4, 8504, 11, 230, 3694, 8, 6780, 10, 204, 73, 306, 86, 6543, 6, 24, 3136, 23, 41, 12447, 1001, 20889, 9, 5962, 13410, 228, 2289, 6, 19, 10, 33215, 16739, 9, 272, 6, 2060, 6, 163, 428, 6, 8, 230, 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 ]

[ 54458, 50432, 50945, 52570, 50798, 65483, 50441, 51169, 51363, 50791, 53484, 50970, 51363, 50791, 57814, 50986, 51363, 50804, 65483, 52591, 51169, 51363, 50791, 63395, 50970, 51363, 50791, 53402, 51169, 78706, 52744, 58726, 50970, 51363, 50791, 54896, 50986, 51363, 50791, 50830, 52177, 51169, 51363, 50804, 52744, 53244, 50970, 51363, 50791, 57907, 50986, 51363, 50791, 54630, 50964, 54300, 52233, 55136, 52744, 64870, 50929, 51363, 50791, 50830, 69683, 51363, 50791, 58218, 50986, 51363, 50804, 52744, 54372, 50929, 51363, 50791, 67007, 51136, 51363, 50791, 53484, 50929, 78706, 52744, 57814, 51136, 51363, 50791, 50830, 52591, 77059, 50986, 51363, 50791, 63395, 64504, 50929, 51363, 50804, 52744, 53402, 51105, 50952, 51136, 78706, 77572, 50945, 53238, 62620, 50945, 52392, 52233, 55136, 50830, 51335, 50940, 52394, 52442, 52177, 51169, 51363, 50791, 53244, 50970, 51363, 50791, 57907, 50986, 51363, 50804, 52744, 54630, 51169, 51363, 50791, 64870, 50964, 50887, 50970, 51363, 50791, 50830, 52354, 52392, 50986, 78706, 52744, 58218, 51169, 51363, 50791, 50830, 56478, 51460, 50432, 50970, 51363, 50791, 50830, 54512, 51460, 50441, 50986, 51363, 50804, 65483, 56404, 67424, 51169, 51363, 50791, 50830, 52608, 51238, 50459, 74885, 50970, 51363, 50791, 50830, 53580, 51160, 52591, 51325, 52392, 52233, 50835, 52606, 52337, 52398, 55136, 65483, 52394, 56073, 50429, 51169, 51363, 50791, 53402, 51136, 51363, 50791, 58726, 50986, 51363, 50804, 52744, 54896, 51169, 51363, 50791, 50830, 52177, 51105, 50952, 51136, 51363, 50791, 53244, 51325, 51655, 50986, 78706, 52744, 57907, 51169, 51363, 50791, 54630, 51136, 51363, 50791, 50830, 56404, 51460, 50453, 50986, 51363, 50804, 65483, 53628, 51552, 50799, 51169, 51363, 50791, 58218, 51136, 51363, 50791, 50830, 56478, 51460, 50432, 51105, 52392, 50798, 65483, 54512, 52442, 50441, 50929, 51363, 50791, 53484, 51136, 51363, 50791, 57814, 51246, 51363, 50804, 65483, 52591, 50929, 51363, 50791, 63395, 51096, 50859, 51136, 63238, 53402, 51105, 51336, 51246, 70306, 65483, 51979, 51427, 50447, 50929, 63238, 50830, 51978, 61828, 51136, 63238, 50830, 52608, 51552, 52177, 51105, 51294, 51246, 68798, 52744, 53244, 50929, 63238, 50830, 52436, 51496, 50435, 63796, 51136, 63238, 54630, 50964, 51933, 52606, 50835, 51678, 50835, 51246, 70306, 65483, 51979, 56073, 50453, 50929, 63238, 50830, 69683, 63238, 58218, 50986, 68798, 52744, 54372, 50929, 63238, 67007, 69126, 51136, 63238, 53484, 50964, 51896, 50986, 70306, 65483, 52608, 51029, 50459, 50929, 63238, 50830, 52591, 51136, 63238, 50830, 53628, 51653, 50429, 50986, 68798, 65483, 52394, 51029, 53758, 50952, 50929, 63238, 58726, 51105, 50952, 51136, 63238, 50830, 52608, 61828, 50945, 52392, 52233, 50835, 51821, 55482, 52398, 55482, 51169, 70306, 65483, 51978, 53898, 52177, 50970, 63238, 53244, 50986, 63238, 57907, 51169, 68798, 52744, 54630, 50970, 63238, 64870, 64504, 50986, 70306, 55110, 50952, 52354, 51933, 51032, 70306, 50910, 51335, 50910, 50441, 53085, 51091, 50459, 53085, 50991, 52591, 53016, 51605, 51096, 51933, 53496, 54143, 51821, 54143, 52072, 54143, 50798, 50830, 51335, 71307, 50970, 69707, 53402, 51317, 51412, 50791, 58726, 51064, 51412, 50804, 52744, 54896, 50970, 63238, 50830, 52177, 52943, 50991, 69126, 51317, 70306, 55110, 58798, 51850, 50983, 50945, 51933, 52233, 54143, 51821, 51445, 52398, 69565, 52744, 57907, 50970, 51534, 50791, 54630, 51992, 51091, 50986, 72707, 64870, 51169, 51412, 50804, 65483, 50799, 51850, 50865, 50970, 71162, 58218, 51850, 50830, 69126, 50986, 75751, 55110, 59099, 51850, 52045, 51228, 52392, 53496, 51445, 51821, 51445, 52398, 69565, 65483, 50441, 52036, 51203, 50970, 71162, 53484, 52137, 51534, 51317, 72707, 57814, 53188, 51310, 50929, 74741, 65483, 52591, 51136, 71162, 63395, 71669, 52735, 51534, 52606, 51534, 51678, 51534, 52072, 51534, 51246, 70811, 55110, 50952, 53357, 51655, 52626, 53233, 52233, 54143, 51821, 54143, 51169, 55568, 52744, 58726, 50970, 71162, 54896, 50986, 63238, 50830, 52177, 52527, 50983, 51169, 74741, 52744, 53244, 50970, 63238, 57907, 51756, 50991, 50986, 70811, 55110, 60835, 52943, 51036, 51228, 52392, 53976, 54249, 53496, 51445, 51821, 51445, 52398, 55136, 52744, 64870, 50970, 72707, 50830, 75961, 71162, 58218, 51169, 74741, 52744, 54372, 50970, 72707, 67007, 51228, 50859, 51317, 64861, 55110, 58710, 51992, 51358, 50964, 52392, 52626, 52015, 52233, 51243, 52606, 51243, 51678, 63854, 52744, 57814, 50929, 71162, 50830, 52591, 50998, 71162, 63395, 51850, 50991, 53828, 52015, 51032, 51412, 50804, 52744, 53402, 51992, 50991, 50929, 72707, 58726, 51850, 50991, 69126, 50998, 70811, 55110, 59349, 51756, 52045, 50945, 52392, 53718, 78706, 65483, 52177, 54307, 51203, 51169, 51412, 50791, 53244, 56726, 51363, 50970, 72707, 57907, 53718, 51255, 51169, 79635, 52744, 54630, 54307, 51255, 50970, 71162, 64870, 69126, 56726, 51221, 50986, 75751, 55110, 50952, 52354, 52392, 59151, 53259, 51169, 70811, 52744, 58218, 50970, 63238, 54372, 50986, 72707, 67007, 52943, 50991, 51169, 74741, 52744, 53484, 51850, 50991, 50970, 71162, 57814, 53085, 50991, 64504, 50986, 75751, 55110, 50952, 52591, 53016, 51060, 51096, 52392, 64092, 52015, 53496, 51243, 51821, 50825, 52072, 63854, 52744, 63395, 53016, 51161, 50970, 63238, 53402, 51317, 63490, 58726, 57204, 51364, 51064, 68798, 52744, 54896, 50970, 71162, 50830, 52177, 51992, 50830, 77059, 56726, 51238, 51317, 70811, 55110, 50952, 50421, 51850, 53244, 52527, 51291, 51105, 52392, 54307, 53363, 52606, 53233, 51678, 53233, 52072, 53233, 50929, 70811, 52744, 57907, 51136, 63238, 54630, 51246, 71162, 64870, 51850, 50991, 50929, 68798, 65483, 74215, 50865, 51136, 63238, 58218, 51756, 50967, 51105, 50952, 51246, 70811, 55110, 59099, 51756, 50830, 51228, 51933, 53718, 51358, 51821, 51243, 52398, 53233, 50798, 65483, 50436, 51850, 67007, 52943, 52382, 50970, 71162, 53484, 51317, 63238, 57814, 54339, 51218, 51169, 74741, 65483, 52591, 51325, 50924, 50970, 71162, 63395, 51228, 50887, 52626, 51124, 51317, 75751, 55110, 50952, 50433, 50964, 55395, 51096, 52392, 53976, 53380, 53496, 50825, 51821, 53233, 52072, 53233, 51064, 78706, 52744, 58726, 50970, 71162, 54896, 52943, 50991, 51317, 69707, 50830, 52177, 51992, 50983, 51064, 68798, 52744, 53244, 50970, 72707, 57907, 51850, 50991, 51096, 50859, 51317, 70811, 55110, 60835, 51756, 51036, 50964, 51933, 54307, 51534, 50798, 52744, 64870, 54339, 51221, 50929, 72707, 50830, 50799, 52626, 51255, 51136, 51412, 50791, 58218, 52735, 51680, 51032, 51363, 50804, 52744, 54372, 50929, 63238, 67007, 69126, 51136, 70811, 55110, 58710, 51756, 51358, 50964, 51933, 52626, 51313, 50929, 75751, 52744, 57814, 51136, 51363, 50791, 50830, 52591, 50986, 71162, 63395, 52527, 50983, 50929, 51534, 50804, 52744, 53402, 50927, 50952, 51136, 51363, 50791, 58726, 51971, 50991, 51019, 53238, 55110, 59349, 51850, 52045, 50945, 51655, 52036, 51203, 51821, 52826, 52398, 52826, 51716, 54880, 65483, 52177, 52137, 51255, 50970, 51363, 50791, 53244, 53188, 51255, 50986, 72707, 57907, 52735, 51255, 51169, 69652, 52744, 54630, 53188, 51124, 50970, 72707, 64870, 52735, 51221, 50986, 70811, 55110, 50952, 52354, 51896, 52626, 51591, 51169, 70811, 50921, 51335, 50921, 50441, 53085, 50807, 52060, 57099 ]

[ 0, 250, 15352, 30054, 5175, 2214, 19, 10, 2842, 9, 3495, 6, 4246, 10, 13305, 14, 1974, 23, 10, 27841, 139, 20889, 11, 155, 73, 176, 86, 6543, 4, 8504, 11, 5, 762, 9, 211, 538, 6, 24, 7630, 6568, 10, 3344, 9, 20425, 8, 19448, 6711, 29, 6, 10686, 13, 304, 11, 3541, 4, 20, 15229, 16, 1490, 198, 5, 40286, 211, 6, 3676, 6, 8, 83, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 51026, 51413, 50861, 51417, 50973, 51417, 50902, 51417, 50438, 51086, 51291, 50973, 51472, 50902, 51472, 50951, 51472, 54206, 51291, 50902, 51291, 51114, 51291, 50999, 51291, 57267, 73642, 51073, 50951, 51073, 51220, 69556, 51086, 51446, 50973, 51413, 50902, 51413, 50951, 51413, 50796, 53337, 71884, 51048, 51114, 51048, 50999, 51048, 57267, 73642, 51073, 50951, 51073, 51220, 69556, 51086, 51159, 50973, 51159, 50902, 51159, 50951, 51159, 54206, 71884, 51048, 51114, 51048, 50999, 62521, 50989, 51291, 50902, 51472, 50999, 51472, 51146, 51472, 56279, 51157, 50902, 51157, 51114, 51157, 50999, 51157, 54594, 71884, 51048, 50951, 51048, 51220, 62521, 51086, 51159, 50902, 51380, 51114, 51380, 50999, 53308, 50951, 53470, 50899, 71884, 51312, 51114, 51312, 50999, 69556, 50989, 51472, 50902, 51397, 50999, 51397, 51146, 51472, 50796, 53337, 51157, 50902, 51312, 51114, 51312, 50999, 51159, 57267, 73642, 51109, 50951, 51109, 51220, 69556, 51086, 51157, 50902, 51312, 51114, 51312, 50999, 52961, 50951, 50849, 54206, 51291, 50902, 51048, 51114, 51048, 50999, 51048, 60718, 51417, 56279, 51056, 51114, 51055, 50999, 51055, 51146, 51055, 57542, 51157, 50902, 51157, 50999, 51157, 51146, 51157, 53337, 51048, 51114, 51157, 50999, 51157, 51146, 51157, 59419, 51446, 50968, 51397, 50951, 51397, 51146, 63112, 51062, 52961, 51220, 50805, 59733, 51048, 53523, 51056, 50968, 51048, 50951, 51048, 51062, 61636, 51027, 72597, 51048, 50951, 51048, 51062, 51048, 55895, 51048, 50968, 51157, 50951, 51157, 51062, 51157, 54206, 51291, 50902, 51448, 51114, 51448, 51062, 72265, 51220, 52605, 50999, 52446, 50902, 51048, 50951, 51048, 51220, 63112, 51086, 51056, 50902, 51048, 51220, 51048, 51146, 51048, 54955, 51157, 50902, 51048, 51220, 51048, 51146, 62521, 51086, 73642, 51048, 51220, 51048, 51146, 51048, 55203, 51291, 50968, 51677, 51220, 51048, 51146, 63112, 50999, 76916, 53702, 50951, 50805, 51220, 50805, 58479, 51048, 51062, 51048, 57025, 51056, 50968, 51312, 50999, 51157, 51062, 51157, 55203, 51157, 50968, 51312, 50999, 51157, 51062, 69785, 51027, 51157, 50968, 51109, 50951, 51157, 51062, 51157, 54206, 51161, 50902, 51677, 51114, 51538, 51062, 51538, 56279, 71884, 51267, 51114, 51267, 51146, 51048, 54594, 51941, 50902, 51422, 50951, 51422, 51220, 72265, 50999, 76094, 51220, 51048, 55895, 51157, 50968, 51312, 50951, 51312, 51062, 51048, 54206, 51605, 50902, 52222, 50951, 51448, 50999, 51486, 66240, 51535, 51114, 51448, 50450, 50951, 51157, 54955, 51397, 51086, 51446, 68930, 50902, 51535, 50951, 51291, 50438, 50973, 51562, 50951, 51562, 55331, 51562, 50999, 51562, 50438, 50951, 51073, 51220, 69556, 50973, 51413, 50951, 51413, 55746, 50902, 51048, 50999, 61636, 50951, 51048, 51220, 63112, 50973, 51159, 50951, 51159, 55331, 51048, 50999, 62521, 50999, 51472, 51146, 51472, 63932, 51159, 50999, 51159, 56807, 51048, 51220, 62521, 50973, 51380, 50999, 52605, 50951, 52446, 50902, 51048, 50999, 63112, 50999, 51472, 51146, 51472, 55746, 50902, 51159, 50999, 51159, 66836, 51157, 50999, 51157, 63932, 51159, 54955, 51413, 50899, 51413, 50438, 51086, 51472, 50861, 51472, 54206, 51291, 50877, 51291, 57267, 51253, 50973, 75355, 51086, 51448, 78759, 50796, 53337, 68721, 51048, 57267, 51267, 50973, 63112, 51086, 51312, 50861, 51159, 54206, 68721, 51073, 56207, 51562, 50902, 51472, 56279, 51312, 50877, 51159, 54594, 51267, 50973, 62521, 51086, 51312, 50877, 52605, 50861, 52446, 50899, 51312, 50877, 51048, 60027, 51562, 50902, 51472, 50796, 53337, 78979, 51056, 51220, 51055, 51146, 65294, 51086, 64306, 51157, 51220, 51048, 51146, 51048, 56279, 74972, 51073, 51220, 51157, 51146, 51157, 55524, 51291, 50861, 51291, 51220, 51157, 51146, 72265, 50999, 76916, 53308, 50951, 51458, 50327, 54233, 50999, 51048, 51062, 51048, 55895, 74669, 51056, 50999, 51048, 51062, 51048, 56310, 51159, 50900, 51159, 50999, 51048, 51062, 51048, 53523, 51048, 50916, 51048, 50999, 51048, 51062, 51048, 55898, 51291, 50989, 51291, 50999, 51157, 51062, 69785, 50951, 50805, 51220, 52961, 51114, 67611, 50849, 56807, 51048, 51220, 62521, 50973, 51056, 50902, 67272, 50973, 51157, 50902, 69785, 50973, 51157, 50902, 51157, 57844, 71884, 51048, 56207, 56472, 52605, 50861, 58654, 52446, 50877, 72597, 51157, 60027, 72597, 51157, 54852, 72597, 51157, 56207, 72597, 51157, 60496, 73463, 56279, 51312, 50973, 52961, 50877, 50805, 54594, 51073, 50973, 51073, 56947, 51056, 51220, 51055, 51487, 65294, 51315, 51157, 51220, 51048, 51487, 63112, 51026, 51157, 51220, 51048, 51487, 51048, 56310, 51291, 51399, 51417, 51487, 72265, 51787, 52605, 51430, 53470, 51787, 63112, 51378, 51056, 50999, 51048, 51787, 51048, 54868, 51157, 51146, 51048, 51787, 62521, 51378, 51048, 50999, 51048, 51787, 61636, 51026, 51291, 51220, 53413, 51787, 69785, 51430, 53702, 51146, 50805, 76502, 52115, 51487, 51631, 50861, 51056, 51787, 51736, 51487, 55122, 50861, 51157, 51430, 52815, 51487, 55149, 50861, 51157, 51787, 52961, 51487, 50795, 54594, 51662, 51028, 51933, 50968, 51692, 50999, 51692, 56222, 51109, 51028, 51048, 50968, 51157, 50999, 51157, 57126, 51312, 50902, 51036, 50999, 51036, 51146, 51036, 56248, 79881, 50989, 51109, 56279, 51677, 51487, 51159, 54852, 51894, 50999, 51448, 51146, 51448, 51787, 51446, 63809, 51535, 50999, 51448, 51399, 51448, 51430, 69785, 51146, 51159, 54206, 51991, 51114, 51677, 50999, 51677, 51146, 77481, 51220, 51157, 51146, 51157, 66302, 51048, 51146, 62521, 51220, 51048, 51146, 61636, 50999, 51159, 51062, 75355, 51220, 67026, 51923, 50999, 68968, 50805, 56807, 51157, 51220, 72265, 51220, 51073, 51146, 69052, 50999, 51157, 51062, 69785, 50951, 51157, 51220, 51157, 56807, 51048, 51220, 62521, 50973, 51380, 50999, 52605, 50951, 52446, 50902, 51048, 50999, 63112, 50973, 51159, 50902, 51159, 57844, 71884, 62521, 50973, 71884, 51048, 60496, 72597, 69785, 50973, 60446, 55416, 50877, 71068, 54594, 51157, 50973, 72265, 50973, 73642, 51073, 60496, 72597, 51157, 56222, 51157, 50973, 51157, 54594, 51157, 50973, 51157, 62795, 51312, 50877, 52605, 50861, 52446, 50899, 70148, 69556, 51086, 51056, 66459, 51220, 51055, 51146, 51055, 54955, 51157, 50902, 51048, 51220, 51048, 51146, 62521, 51086, 71884, 51048, 51220, 51048, 51146, 51048, 55203, 51291, 50968, 51692, 51220, 51157, 51146, 69785, 50999, 68968, 52961, 50951, 50805, 51220, 50805, 58479, 51048, 51062, 51048, 57025, 51159, 50968, 51109, 50999, 51048, 51062, 51048, 55203, 51048, 50968, 51312, 50999, 51157, 51062, 69785, 51027, 51157, 50968, 51312, 50951, 51048, 51062, 51048, 54206, 51161, 50902, 51312, 51114, 51161, 51062, 57944, 50902, 61148, 50902, 51109, 56279, 71884, 51109, 51114, 51109, 51146, 51048, 54594, 51933, 50902, 51422, 50951, 51422, 51220, 72100, 50999, 69241, 51220, 51048, 55895, 51159, 50968, 51109, 50951, 51109, 51062, 51048, 54206, 51605, 50902, 52222, 50951, 51397, 50999, 51486, 66240, 51535, 51114, 51535, 50450, 50951, 51157, 54955, 51692, 51086, 51157, 50973, 51291, 50951, 51291, 54439, 51290, 55898, 69785, 51086, 51157, 74576, 51220, 51056, 51146, 51056, 54955, 51157, 50902, 51157, 51220, 51157, 51146, 51157, 62795, 71884, 51157, 51220, 51157, 51146, 51157, 55203, 51291, 50968, 51662, 51220, 51048, 51146, 63112, 50999, 68968, 52961, 50951, 50805, 51220, 50805 ]

[ 0, 250, 765, 5175, 2214, 19, 10, 2842, 9, 3495, 2712, 6, 4246, 10, 15352, 30054, 3222, 5785, 227, 1893, 43639, 6, 3459, 13305, 6, 8, 2003, 38704, 31365, 25999, 6, 2800, 30, 38668, 18569, 8, 21072, 4, 8504, 11, 83, 3694, 8, 1375, 23, 10, 23667, 20889, 6, 24, 7630, 6568, 10, 11739, 9, 2933, 8, 19448, 6711, 29, 6, 19, 10, 25306, 1318, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 50852, 50949, 51544, 50895, 55703, 55622, 50852, 50961, 52320, 50961, 55779, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50827, 50741, 50286, 57824, 61142, 50924, 68008, 54447, 66261, 61981, 62828, 51008, 50741, 50288, 61509, 50883, 50799, 59931, 52821, 50741, 50289, 56004, 50852, 54906, 75335, 52647, 56382, 52998, 50857, 59059, 50841, 53907, 51194, 75884, 51194, 52126, 51582, 63248, 51771, 58877, 50743, 50303, 51318, 52609, 51239, 59873, 52998, 51134, 51816, 56983, 50852, 60032, 51959, 55441, 55750, 67300, 66261, 65449, 50743, 50299, 51242, 51959, 51095, 50458, 58417, 53259, 50743, 50296, 55844, 50791, 56046, 51816, 50836, 57752, 58410, 68439, 51816, 50937, 52577, 50937, 50422, 53234, 50840, 51816, 51307, 50423, 52577, 51264, 51544, 50895, 55703, 55622, 50852, 63281, 62828, 51008, 50741, 50288, 60649, 61142, 50952, 68008, 55690, 66261, 61981, 68921, 50925, 50741, 50286, 52854, 54162, 50887, 50799, 63352, 54300, 72410, 53478, 50852, 54906, 73427, 51816, 61057, 52998, 50886, 59059, 53901, 53907, 51337, 75884, 51642, 53234, 51239, 61749, 52627, 50897, 52577, 51095, 50434, 52998, 51241, 50743, 50303, 67248, 59873, 52627, 52599, 53234, 55064, 60032, 52627, 50849, 50440, 52577, 59503, 52092, 62813, 51959, 50925, 50449, 50743, 50299, 51043, 52092, 64949, 53354, 66741, 66261, 72727, 53929, 52919, 50458, 50743, 50301, 51359, 51959, 53259, 50791, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50925, 50741, 50286, 58262, 61142, 50925, 68008, 52938, 66261, 67383, 62828, 50925, 50741, 50288, 67952, 50883, 50799, 59931, 52644, 50741, 50289, 52821, 50852, 54906, 75249, 51771, 59824, 52609, 50846, 51959, 75749, 53907, 51100, 75884, 51337, 51816, 54881, 61361, 52998, 51204, 50434, 50743, 50303, 72876, 55622, 51771, 57383, 71540, 55750, 67081, 50743, 50299, 51309, 52647, 50846, 51771, 60596, 66261, 65449, 52126, 78767, 52114, 60135, 58417, 51353, 50743, 50296, 51922, 50791, 59363, 53643, 50846, 51771, 50917, 50799, 52003, 50910, 52114, 53708, 68936, 53643, 50846, 51771, 51991, 50422, 52003, 51161, 51544, 50895, 55703, 55622, 50852, 63281, 62828, 50959, 50741, 50288, 58248, 61142, 50938, 68008, 55744, 66261, 67320, 68921, 50938, 50741, 50286, 50978, 52902, 50883, 50799, 63352, 53090, 72410, 52821, 52647, 52672, 54906, 50858, 50416, 52126, 73963, 51771, 55640, 53907, 51100, 75884, 51101, 51816, 52201, 61361, 52998, 51189, 50434, 50743, 50303, 51318, 51816, 52217, 55622, 51959, 51100, 50852, 63281, 51816, 58501, 52092, 63589, 55750, 62400, 66261, 65449, 50743, 50299, 51101, 50457, 56201, 51151, 51959, 58323, 50743, 50301, 52151, 50791, 50883, 50799, 52577, 52227, 72922, 52569, 62799, 52577, 51623, 51544, 50895, 55703, 55622, 50852, 71309, 57355, 50937, 50446, 68921, 50937, 50741, 50286, 51051, 58195, 50878, 53643, 56060, 61142, 50808, 54067, 50822, 68008, 50855, 53168, 50810, 52003, 53065, 66261, 67320, 62828, 50952, 57454, 50925, 50741, 50288, 50959, 52647, 50878, 55953, 52854, 50883, 50799, 59931, 53478, 54377, 50859, 50741, 50289, 52826, 52126, 52644, 53359, 53454, 50852, 50387, 52214, 53871, 50940, 51544, 60063, 55860, 55690, 55622, 53862, 58453, 50961, 52320, 66261, 69866, 57454, 56022, 59363, 54377, 50887, 57752, 68936, 55860, 50878, 50425, 53862, 50851, 51544, 61361, 54157, 51142, 55703, 73957, 55823, 54123, 50852, 71309, 54377, 62604, 62828, 50937, 50741, 50288, 50984, 55953, 50955, 52003, 50857, 52647, 64891, 53862, 53567, 61142, 50878, 68008, 50822, 53168, 50987, 52003, 61098, 66261, 54353, 55823, 64074, 68921, 50978, 50741, 50286, 51210, 53643, 50813, 58195, 51559, 54162, 66430, 54542, 51896, 50799, 63352, 51151, 72410, 52821, 52114, 52644, 53362, 52644, 50852, 54906, 50858, 51544, 50895, 55703, 55622, 50852, 60464, 54163, 52192, 50446, 53862, 52989, 54377, 56522, 66261, 59994, 54067, 61963, 54377, 54881, 50883, 57752, 70394, 54067, 68874, 54978, 60567, 54560, 52524, 54699, 53065, 61749, 54783, 63444, 59659, 58511, 57619, 58528, 57964, 62225, 65167, 58467, 72009, 50941, 55703, 55622, 50852, 63281, 68921, 50921, 57355, 50925, 50741, 50286, 50959, 58195, 50866, 53643, 52843, 61142, 50808, 54067, 50810, 68008, 50813, 52003, 50878, 53168, 53199, 66261, 61981, 62828, 50910, 57454, 50910, 50741, 50288, 50959, 55953, 50878, 52647, 55966, 50883, 50799, 59931, 53413, 54377, 50878, 50741, 50289, 53413, 53359, 53454, 52126, 53082, 50852, 54906, 50940, 51544, 50895, 55703, 59873, 55860, 53415, 50852, 60032, 53862, 50874, 52320, 66261, 50890, 55779, 56046, 57454, 50937, 50799, 54377, 55476, 70394, 55860, 57817, 53862, 54225, 60063, 54157, 69207, 55622, 55823, 54791, 63281, 62828, 50959, 54377, 50925, 50741, 50288, 50912, 55953, 50878, 52647, 58238, 61142, 50925, 53862, 50912, 68008, 50925, 53168, 50878, 52003, 56879, 66261, 61981, 68921, 50873, 56101, 50910, 50741, 50286, 51142, 58195, 50878, 53643, 52854, 54162, 50887, 50799, 63352, 53363, 57436, 53090, 72410, 52644, 52114, 53082, 53362, 52644, 50852, 54906, 50940, 51544, 50895, 55703, 55622, 50852, 50961, 52320, 66261, 50890, 55779, 50883, 57752, 50949, 51544, 50895, 55703, 55622, 50852, 63281, 68921, 50952, 50741, 50286, 50933, 58195, 50866, 53643, 77203, 55888, 57355, 57006, 61142, 50808, 68008, 50808, 52003, 50955, 53168, 51373, 66261, 64380, 54067, 57450, 62828, 50952, 50741, 50288, 50878, 52647, 50878, 55953, 55999, 56046, 57454, 50910, 50799, 59931, 52821, 50741, 50289, 53413, 52126, 52644, 53359, 52644, 50852, 50387, 52214, 52411, 50924, 50415, 54377, 50859, 51544, 50895, 55703, 59873, 55860, 58866, 50852, 60032, 53862, 50907, 52320, 66261, 67320, 57454, 56522, 50883, 50799, 54377, 55879, 70394, 55860, 50937, 51544, 61749, 53862, 70301, 54157, 56022, 55622, 50852, 60032, 55823, 64201, 62828, 51142, 54377, 50910, 50741, 50288, 50810, 52647, 50955, 55953, 58038, 61142, 50952, 53862, 50851, 68008, 50912, 53168, 50810, 52003, 52854, 66261, 69866, 68921, 50910, 50741, 50286, 51008, 58195, 50866, 53643, 52854, 54162, 57661, 55823, 50921, 50799, 63352, 53090, 72410, 52826, 52114, 53082, 52003, 50834, 53362, 52644, 50852, 54906, 68621, 54542, 51896, 51544, 50895, 55703, 55622, 50852, 69396, 54163, 51824, 50446, 53862, 52192, 52320, 66261, 72860, 54377, 50925, 50455, 54067, 65737, 54377, 55706, 50883, 57752, 68936, 54067, 67643, 54978, 58304, 54560, 59066, 54699, 54156, 54783, 52873, 61749, 59659, 63692, 57619, 58511, 57964, 64247, 65167, 59833, 72009, 50813, 55703, 55622, 50852, 63281, 68921, 50924, 50741, 50286, 50925, 50742, 50293, 50924, 57106, 50924, 58195, 50878, 53643, 50878, 51553, 53756, 71977, 51553, 52725, 61142, 50821, 68008, 50810, 50742, 50294, 50940, 53807, 50897, 53168, 50810, 52003, 53199, 50386, 52418, 69866, 62828, 51210, 50741, 50288, 50952, 78206, 50952, 56817, 50808, 55953, 50955, 52647, 50878, 52615, 52082, 51179, 50883, 50799, 59931, 50910, 50741, 50289, 50808, 50742, 50296, 50865, 54030, 50924, 53359, 50810, 52126, 50955, 69621, 57901, 66055, 53852, 65418, 54515, 50867, 57436, 52762, 56101, 51309, 50433, 54515, 54431, 54542, 65562, 54163, 64827, 53862, 51242, 50457, 54377, 55971, 54542, 53988, 51129, 55669, 56075, 54163, 56959, 50820, 63311, 50820, 54519, 50820, 57493, 61132, 50804, 53070, 50804, 62589, 50804, 51004, 53951 ]

[ 0, 713, 5679, 26709, 5175, 25771, 2214, 6, 278, 11, 5, 762, 9, 272, 538, 19, 10, 231, 73, 306, 86, 6543, 6, 1575, 10, 11739, 9, 3459, 13305, 6, 13305, 6, 21979, 8669, 6, 38668, 2236, 6, 8, 38668, 11212, 4, 20, 9571, 35810, 561, 7, 1045, 10, 19448, 8, 15352, 30054, 5466, 6, 7630, 14805, 10, 1472, 9, 23975, 1825, 14, 115, 28, 157, 12, 9228, 4560, 13, 822, 4, 20, 33215, 16739, 9, 272, 6, 230, 6, 274, 6, 8, 230, 1639, 10, 32625, 4811, 1328, 5, 2125, 6, 61, 3136, 23, 41, 12447, 1001, 20889, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54838, 50633, 54687, 51034, 51220, 51192, 51026, 51627, 53168, 51677, 50420, 50951, 51112, 55009, 52263, 62795, 51490, 52003, 70402, 50951, 50838, 51771, 64025, 51220, 50952, 51026, 52188, 52003, 51576, 50441, 50999, 52597, 50951, 51111, 55009, 51470, 51034, 50968, 51255, 50900, 51677, 53359, 51662, 50420, 50951, 51337, 52114, 51627, 50426, 50968, 51377, 52126, 74257, 50951, 51025, 51771, 64025, 51062, 50873, 52126, 51534, 50444, 51220, 50845, 52114, 51470, 51034, 50999, 64763, 51477, 58195, 51381, 58973, 50901, 52003, 51447, 50426, 51114, 51043, 53359, 51627, 63975, 51203, 58195, 52482, 50438, 51146, 51167, 50899, 51108, 52114, 51709, 50441, 50999, 60204, 51114, 50795, 58195, 51824, 51034, 51001, 51100, 50956, 51749, 58195, 51939, 50420, 50973, 51233, 55009, 52034, 50426, 51001, 50873, 52647, 51797, 50432, 51114, 51110, 55009, 65461, 51220, 50805, 51086, 51576, 52647, 52188, 50444, 50999, 50873, 53359, 51432, 51034, 50968, 51215, 50916, 52263, 56805, 51662, 50420, 50973, 51203, 52126, 52980, 50426, 50968, 50805, 55009, 52034, 50432, 50951, 51100, 53168, 51645, 50438, 51430, 50925, 51086, 51775, 55009, 51330, 50441, 51220, 54630, 79386, 53168, 51432, 50447, 60300, 51034, 50951, 51043, 51081, 51417, 50900, 51749, 53897, 51422, 67855, 51079, 52114, 52783, 50426, 50632, 50876, 51753, 53168, 53052, 50968, 51852, 56805, 51166, 55203, 51709, 51081, 50914, 53168, 63236, 50951, 50972, 56805, 51166, 69827, 50999, 51218, 50871, 51878, 53897, 52528, 50420, 52114, 52015, 50426, 53359, 55544, 50951, 50866, 53362, 55659, 50999, 57035, 51709, 53359, 52056, 50439, 50631, 50441, 50951, 58937, 73955, 53362, 51432, 50447, 66661, 51034, 50630, 50902, 60959, 51627, 52951, 51484, 62143, 51172, 53362, 52188, 60718, 51363, 52951, 52460, 50427, 50630, 63931, 51709, 53362, 52482, 50438, 50931, 51309, 62440, 52951, 53957, 50439, 50629, 50444, 50902, 51174, 50445, 53362, 52192, 51034, 50625, 50877, 52528, 50931, 51939, 53359, 53866, 52114, 53866, 53362, 53866, 73566, 54963, 51267, 50426, 53956, 55965, 53091, 50914, 51034, 53775, 51486, 50945, 51538, 51131, 52378, 50947, 51484, 50986, 52056, 50970, 52056, 51032, 51199, 51438, 51199, 52036, 51939, 52430, 51939, 52626, 51939, 50415, 50633, 50426, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 75480, 74725, 67522, 51438, 54584, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51438, 74722, 51131, 51123, 75480, 50970, 51123, 51034, 53807, 51591, 50953, 51585, 51246, 52378, 51064, 51484, 50960, 52056, 50929, 52056, 51067, 51199, 51563, 51199, 52137, 53478, 52735, 51939, 52886, 51939, 65404, 51254, 77123, 51064, 51006, 73075, 51563, 51006, 50427, 51246, 65948, 50929, 51128, 51064, 51000, 51563, 51000, 50960, 51123, 51067, 69868, 51246, 60438, 51246, 51254, 50960, 51254, 77123, 51064, 51006, 73075, 51563, 58867, 51246, 51123, 50960, 51123, 50929, 51123, 51064, 50907, 51067, 50907, 51563, 50907, 51034, 54173, 51189, 51133, 51518, 51207, 52188, 50986, 52188, 50998, 52188, 50929, 51484, 51032, 51484, 51292, 51484, 52626, 51939, 53828, 51939, 50426, 51207, 51254, 50986, 51254, 50998, 51254, 50929, 51006, 51032, 51006, 51292, 57018, 53136, 50901, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 53091, 51003, 69236, 64145, 51207, 51142, 50998, 51142, 71656, 51292, 69877, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 53136, 50983, 51186, 51161, 51246, 52378, 50960, 52378, 51064, 51484, 51067, 51484, 50970, 52256, 51438, 51381, 52036, 52337, 52735, 51939, 52886, 51939, 50426, 51246, 51142, 70698, 51064, 51008, 51067, 61957, 54173, 50892, 80250, 51067, 50941, 51246, 51022, 50970, 51252, 51064, 50907, 51438, 55707, 53136, 51056, 70698, 51067, 50933, 51246, 51254, 50970, 51254, 51064, 51006, 51438, 58867, 51246, 51269, 50960, 51123, 74725, 51064, 51123, 77211, 51438, 50907, 51034, 53091, 51127, 50945, 51518, 51131, 52482, 50947, 51642, 50986, 52460, 50970, 52460, 51032, 51645, 51438, 51645, 52430, 54270, 52626, 52204, 50426, 51131, 51376, 50986, 51376, 50970, 51376, 50947, 51006, 51032, 51006, 51438, 57018, 51131, 51022, 50986, 51022, 50970, 51832, 50947, 50907, 51032, 50907, 51438, 61929, 51131, 51470, 50947, 51174, 50986, 51166, 51032, 50972, 50970, 52996, 51438, 51806, 50444, 51131, 51297, 50986, 51126, 50947, 51126, 51032, 50941, 51034, 54963, 50995, 50945, 51183, 51131, 52378, 50947, 51484, 50986, 52996, 50970, 52056, 51032, 52056, 51438, 68428, 54240, 50914, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 75480, 74725, 67522, 51438, 54584, 53956, 51157, 50953, 50915, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51438, 74722, 51131, 51123, 75480, 50970, 51123, 51034, 53091, 51486, 51011, 51161, 51131, 52378, 50947, 51484, 50986, 52056, 50998, 52056, 51032, 51199, 51292, 51199, 53828, 67778, 51131, 51210, 50986, 51210, 79504, 51032, 50933, 50998, 51376, 51292, 57018, 51131, 51128, 50947, 50971, 75480, 50998, 51022, 67522, 51292, 54584, 51131, 51051, 50998, 51051, 50947, 51008, 51292, 51008, 50986, 51376, 51032, 69655, 50947, 50907, 51032, 50851, 51292, 74722, 51131, 51123, 75480, 50998, 51123, 51034, 53136, 51486, 51271, 51161, 51131, 52378, 50947, 51484, 50960, 52996, 50970, 52056, 51067, 52056, 51438, 51199, 52036, 51592, 52735, 51592, 52886, 52826, 50426, 51131, 51210, 50960, 51210, 79504, 51067, 50933, 50970, 51376, 51438, 57018, 51131, 51128, 50947, 50971, 66003, 74725, 77211, 51438, 54584, 51131, 51051, 50970, 51051, 50947, 51008, 51438, 51008, 50960, 51376, 51067, 69655, 50947, 50907, 51067, 50851, 51438, 74722, 51131, 51123, 66003, 50970, 51123, 51034, 53091, 51295, 50953, 51161, 51207, 52482, 50929, 51642, 51311, 52460, 50960, 52460, 51076, 51645, 51067, 51645, 52137, 51801, 53499, 67778, 51207, 51376, 51311, 51376, 50960, 51376, 50929, 51006, 51076, 51006, 51067, 57018, 54240, 50810, 51207, 51022, 51311, 51022, 70183, 69911, 51076, 50907, 51067, 58604, 54240, 51178, 51207, 51470, 50929, 51174, 51311, 51166, 70951, 50970, 52996, 51067, 52996, 51438, 51806, 50439, 50960, 54344, 50444, 51207, 51297, 51311, 51126, 50929, 51126, 51076, 50941, 51034, 54240, 51151, 51133, 51486, 50986, 51961, 51032, 51381, 51207, 51961, 50998, 51961, 50929, 51381, 51292, 51381, 52626, 51801, 53828, 52826, 50432, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 50998, 51254, 51292, 51058, 51207, 51079, 68104, 63434, 51032, 56391, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 51133, 51592, 50998, 51142, 51292, 50933, 50986, 51254, 51032, 51006, 51207, 51806, 50929, 51199, 50420, 50998, 51269, 51032, 50907, 51292, 50984, 50421, 50986, 57252, 51207, 51254, 50986, 51254, 50998, 51254, 50929, 51006, 51032, 51006, 51292, 57018, 51207, 51022, 50986, 51269, 76981, 69911, 51032, 51123, 51292, 54793, 51207, 51142, 71656, 50986, 51254, 50998, 51254, 51032, 51058, 51292, 61972, 75480, 50998, 51269, 67522, 51292, 50984, 51207, 52179, 50929, 51365, 51034, 53091, 50943, 50945, 51933, 51131, 52378, 50947, 51484 ]

[ 0, 250, 33928, 8, 20425, 3495, 2214, 11, 230, 3694, 6, 4246, 10, 15352, 30054, 16739, 14, 7630, 6568, 6453, 9, 657, 8, 11098, 6, 10686, 13, 10, 822, 19834, 6, 19, 10, 7212, 20889, 8, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 54458, 51247, 51283, 51050, 51283, 50871, 79309, 51247, 50827, 66742, 50871, 53720, 51247, 50827, 66742, 50871, 52788, 51247, 51283, 51050, 51283, 50871, 51283, 50456, 51247, 50827, 66742, 50871, 54529, 51247, 50827, 66742, 58529, 54734, 71445, 58194, 54869, 51247, 71445, 58194, 54498, 51247, 68588, 57712, 53624, 51247, 68588, 57712, 52985, 79099, 73773, 56963, 50454, 79099, 73773, 56963, 50458, 79099, 73773, 56963, 54734, 51283, 51279, 51283, 51050, 51283, 50871, 51283, 50877, 79309, 51247, 50827, 66742, 63489, 50871, 53720, 51247, 50827, 66742, 63489, 50871, 52788, 51247, 51283, 51279, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50456, 51247, 50827, 66742, 63489, 50871, 54529, 51247, 50827, 66742, 63489, 58529, 54734, 51517, 50289, 71445, 58194, 59219, 54869, 51247, 71445, 72110, 58194, 54498, 51247, 51260, 50289, 68588, 57712, 56943, 53624, 51247, 51260, 50289, 68588, 57712, 56943, 52985, 79099, 73773, 51040, 50933, 56963, 50454, 79099, 73773, 51040, 50933, 56963, 50458, 79099, 73773, 51040, 50933, 56963, 54734, 51283, 51279, 51283, 51085, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50876, 79309, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 53720, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 52788, 51247, 51283, 51279, 51283, 51085, 51283, 51050, 51283, 50871, 51283, 50877, 51283, 50876, 51283, 50456, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 50877, 54529, 51247, 50827, 51279, 50827, 66742, 63489, 58529, 57472, 54734, 51517, 50289, 51517, 50292, 71445, 58194, 59219, 58327, 54869, 51247, 51517, 50289, 71445, 72110, 58194, 59219, 54498, 51247, 51260, 50289, 61459, 68588, 57712, 56943, 55512, 53624, 51247, 51260, 50289, 61459, 68588, 57712, 56943, 55512, 52985, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 50454, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 50458, 79099, 51279, 50933, 73773, 51040, 50933, 56963, 61048, 55881, 51592, 50956, 51592, 56546, 68858, 50906, 62727, 50965, 56180, 51001, 70430, 51028, 62565, 50876, 55514, 51197, 50933, 50956, 50933, 50951, 72921, 51197, 50933, 50956, 50933, 50931, 65897, 51197, 50933, 50956, 50933, 50968, 50933, 57551, 51592, 50916, 51592, 51062, 50933, 50418, 50951, 64987, 50931, 55656, 50968, 68858, 50902, 62727, 50876, 56180, 50951, 70430, 50931, 62565, 50968, 55514, 51315, 50933, 60471, 51430, 72921, 51315, 50933, 60471, 51146, 65897, 51315, 50933, 60471, 51062, 50933, 54197, 58194, 51517, 50333, 50933, 50418, 51062, 64987, 51081, 55656, 79099, 73773, 50931, 68858, 79099, 73773, 51081, 62727, 79099, 73773, 51062, 56180, 51247, 71445, 51517, 50333, 54980, 51050, 51172, 50459, 66742, 55435, 51080, 60564, 57643, 64079, 52718, 50900, 73196, 50906, 57643, 64079, 53581, 63489, 50906, 57643, 64079, 56517, 65058, 57346, 51080, 60564, 57643, 64079, 52718, 51050, 73196, 50906, 57643, 64079, 52985, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 57131, 51050, 70529, 61048, 76890, 76604, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 53624, 51050, 57292, 57643, 64079, 52985, 51040, 72921, 50997, 57131, 50906, 57643, 64079, 70529, 56963, 56178, 67778, 67108, 60299, 51405, 54889, 67108, 60299, 51405, 52739, 51001, 65300, 51517, 50331, 56350, 51001, 57945, 51260, 50331, 52985, 51050, 51172, 50931, 60472, 51260, 50333, 53581, 50931, 60472, 51260, 50333, 56517, 66742, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 78369, 50906, 57643, 64079, 57060, 50997, 52989, 50871, 65817, 50906, 57643, 64079, 56517, 63489, 55694, 62666, 50931, 64079, 51260, 50333, 53052, 50931, 64079, 51260, 50333, 52718, 50997, 60700, 64079, 51260, 50333, 53624, 50931, 64079, 51260, 50333, 52985, 51040, 50933, 76890, 51081, 50933, 51339, 72921, 57846, 76890, 51081, 50933, 51339, 65897, 74180, 76890, 51081, 50933, 51339, 50933, 54578, 51283, 60564, 57643, 64079, 53052, 51040, 53720, 50997, 52788, 51050, 56350, 50906, 57643, 64079, 52985, 51050, 65817, 50906, 57643, 64079, 56517, 66742, 55435, 51592, 60564, 57643, 64079, 53052, 50906, 57643, 64079, 52718, 50877, 57643, 60472, 53624, 50877, 57643, 60472, 52985, 51050, 51172, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 65897, 61048, 76890, 50999, 62908, 66742, 55435, 51080, 60564, 57643, 64079, 52718, 50900, 73196, 50906, 57643, 64079, 53581, 63489, 50906, 57643, 64079, 56517, 65058, 57346, 51080, 60564, 57643, 64079, 52718, 51050, 73196, 50906, 57643, 64079, 52985, 61048, 76890, 50999, 72921, 61048, 76890, 50999, 57131, 51050, 70529, 61048, 76890, 76604, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 53624, 51050, 57292, 57643, 64079, 52985, 51040, 72921, 50997, 57131, 50906, 57643, 64079, 70529, 56963, 56178, 67778, 67108, 60299, 51405, 54889, 67108, 60299, 51405, 52739, 51001, 65300, 51517, 50331, 56350, 51001, 57945, 51260, 50331, 52985, 51050, 51172, 50931, 60472, 51260, 50333, 53581, 50931, 60472, 51260, 50333, 56517, 66742, 55435, 51283, 60564, 57643, 64079, 53052, 50900, 52718, 51040, 78369, 50906, 57643, 64079, 57060, 50997, 52989, 50871, 65817, 50906, 57643, 64079, 56517, 63489, 55694, 62666, 50931, 64079, 51260, 50333, 53052, 50931, 64079, 51260, 50333, 52718, 50997, 60700, 64079, 51260, 50333, 53624, 50931, 64079, 51260, 50333, 52985, 51040, 50933, 76890, 51081, 50933, 51339, 72921, 57846, 76890, 51081, 50933, 51339, 65897, 74180, 76890, 51081, 50933, 51339, 50933, 54578, 51283, 60564, 57643, 64079, 53052, 51040, 53720, 50997, 52788, 51050, 56350, 50906, 57643, 64079, 52985, 51050, 65817, 50906, 57643, 64079, 56517, 66742, 59733, 51260, 50336, 54177, 51081, 51260, 50335, 52688, 51062, 51260, 50336, 53052, 51081, 51260, 50335, 52718, 51062, 51260, 50336, 53624, 51081, 51260, 50335, 52985, 50900, 51517, 50324, 51260, 50333, 53581, 50951, 51260, 50332, 50838, 54578, 51283, 51147, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50931, 65348, 52718, 50861, 51517, 50324, 51260, 50333, 53624, 50931, 65348, 52985, 51147, 51260, 50333, 68927, 50965, 54232, 50931, 65348, 67163, 50906, 50864, 57190, 51283, 51147, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50931, 65348, 52718, 50900, 51517, 50324, 51260, 50333, 53624, 50931, 65348, 52985, 50951, 51260, 50332, 53581, 50900, 58903, 65348, 50838, 54578, 51517, 50324, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50861, 57643, 65348, 52718, 50965, 51260, 50333, 51260, 50340, 53624, 50900, 65348, 51260, 50336, 52985, 50965, 51260, 50333, 51260, 50340, 68927, 50900, 54232, 50876, 65348, 51260, 50336, 50838, 55694, 51680, 51146, 51260, 50338, 54177, 51081, 51260, 50333, 52688, 51146, 51260, 50338, 53052, 51081, 51260, 50333, 52718, 51146, 51260, 50338, 53624, 51081, 51260, 50333, 52985, 50900, 74616, 51260, 50335, 53581, 50951, 51260, 50332, 50838, 54578, 51517, 50324, 51260, 50333, 54177, 50931, 65348, 52688, 51147, 51260, 50333, 53052, 50861, 57643, 65348, 52718, 50965, 65505, 51260, 50333, 53624, 50931, 65348, 65390, 50871, 53996, 50876, 65505, 51260, 50333, 53581, 50931, 65348, 67163, 50965, 50864, 56229, 51517, 50324, 51260, 50333, 54177, 50931, 51517, 50329, 52688, 51147, 51260, 50333, 53052, 50931, 51260, 50329, 52718, 50871, 51517, 50324, 51260, 50333 ]

[ 0, 250, 15855, 2125, 4246, 10, 12280, 3275, 1725, 3109, 6, 42, 765, 2214, 7630, 6568, 10, 2933, 8, 5386, 5466, 6, 20455, 9, 10, 822, 50, 177, 19834, 4, 8504, 11, 5, 762, 9, 163, 428, 538, 19, 10, 7212, 20889, 8, 204, 73, 306, 86, 6543, 6, 24, 3905, 10, 33215, 16739, 9, 163, 43531, 6, 230, 6, 274, 119, 6, 163, 43531, 6, 8, 274, 6, 1271, 7, 63, 25306, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 54458, 50418, 56495, 51407, 50425, 53640, 50975, 50433, 60914, 73064, 53640, 50975, 50448, 60914, 51300, 50456, 53334, 50975, 51601, 52049, 74377, 53334, 50975, 53640, 74512, 53324, 50975, 53382, 60363, 52049, 50975, 53640, 74661, 53640, 50811, 52292, 73704, 54073, 57795, 53640, 58614, 54073, 55552, 53640, 50811, 53296, 50993, 50455, 54073, 60370, 52205, 54871, 54073, 56628, 52205, 51300, 52591, 53334, 50975, 50428, 52049, 50975, 50435, 60914, 50823, 53334, 50975, 50439, 54066, 69455, 53382, 50823, 53324, 73704, 53640, 53798, 54073, 50823, 52049, 72747, 52205, 56250, 53640, 50811, 52292, 50975, 50460, 54073, 50811, 50799, 53640, 62601, 54073, 60208, 53640, 50811, 53296, 50993, 50419, 54073, 59852, 52205, 54381, 54073, 58099, 52205, 50975, 50433, 66262, 50823, 53334, 50975, 50436, 58683, 70736, 60914, 50823, 52049, 58919, 54066, 70290, 53382, 50823, 53334, 50975, 50452, 53640, 64776, 53324, 50975, 53382, 50975, 51601, 52049, 50975, 53640, 51066, 50422, 52292, 50975, 50424, 54073, 52968, 53640, 61347, 54073, 58459, 53640, 50811, 53296, 60493, 54073, 57485, 52205, 58212, 54073, 57784, 52205, 51029, 50445, 53334, 75255, 52049, 50975, 50460, 53640, 50975, 53334, 51072, 52591, 53382, 67233, 53640, 64262, 54769, 50975, 54073, 51059, 50435, 52550, 50975, 50442, 60914, 50975, 54769, 63758, 54066, 60111, 60914, 56250, 53296, 50975, 58683, 51059, 52177, 52573, 50975, 50425, 52342, 50975, 53296, 64414, 52205, 65733, 54073, 70736, 53334, 50975, 53640, 51059, 50447, 52049, 50975, 50455, 54081, 50975, 53334, 50993, 51601, 53382, 59889, 53640, 56733, 54769, 50975, 54073, 51059, 50430, 52550, 50975, 50437, 54769, 50975, 60914, 50975, 50445, 60914, 50823, 53296, 51407, 50449, 54066, 71524, 58683, 54178, 60914, 67903, 54066, 50823, 57354, 51059, 51809, 53382, 55573, 53640, 60134, 54073, 64262, 52205, 64058, 52342, 59184, 53334, 50975, 52895, 51072, 50442, 52049, 58981, 60914, 50975, 53334, 51072, 50457, 52662, 50975, 52177, 52292, 50975, 60914, 51059, 50425, 52242, 59959, 60914, 50975, 52292, 51072, 50440, 53640, 73704, 52049, 50975, 60914, 51059, 50455, 52443, 50975, 50799, 60914, 50975, 52049, 51072, 50422, 60914, 53537, 54066, 58656, 53382, 50823, 53571, 50975, 50433, 53640, 61109, 52662, 50823, 53029, 73064, 52205, 67505, 52342, 50823, 53249, 51072, 50448, 52895, 71524, 52342, 59154, 52895, 52884, 52044, 58150, 52895, 59616, 53296, 50975, 52044, 51072, 53069, 52573, 50975, 50427, 52342, 50975, 53296, 51072, 50434, 53731, 50975, 50442, 53334, 50975, 52205, 63399, 52049, 50975, 50457, 52205, 50975, 53334, 51072, 52177, 53640, 60861, 52662, 53213, 53640, 57646, 52662, 75800, 52292, 50975, 50428, 52662, 54179, 53382, 50811, 52573, 73637, 53640, 58212, 53382, 57784, 53640, 63747, 53296, 50975, 50443, 53640, 59981, 54066, 50811, 53249, 50975, 50449, 53382, 58614, 54066, 55552, 53382, 67897, 53571, 77567, 53382, 50823, 50799, 60914, 50811, 53296, 50975, 50416, 54066, 60208, 60914, 53213, 54066, 60449, 53334, 50975, 50425, 60914, 58814, 54066, 50811, 52292, 50975, 50431, 53382, 59009, 54066, 54496, 53382, 62472, 52242, 50975, 50440, 53382, 55380, 60914, 50811, 52443, 74661, 54066, 59788, 60914, 52768, 54066, 69986, 53334, 50975, 50455, 60914, 57239, 54066, 50811, 52292, 50975, 50461, 53382, 50811, 51601, 54066, 55804, 53382, 66576, 53249, 74377, 53382, 53537, 60914, 50811, 53296, 50975, 50428, 54066, 58459, 60914, 52726, 54066, 59898, 56495, 60363, 60914, 59475, 54066, 50811, 59988, 51009, 50443, 53382, 59135, 54066, 55059, 53382, 57795, 54066, 58614, 53382, 51072, 51809, 53382, 50975, 50424, 58683, 50975, 50431, 52443, 50975, 57557, 51059, 50439, 53322, 74661, 53640, 50975, 53334, 51072, 50454, 53382, 52884, 53640, 58150, 52662, 59616, 53640, 56628, 51975, 50975, 52662, 51059, 55753, 52242, 50975, 50429, 60914, 50975, 52292, 51072, 50436, 71461, 58919, 51975, 50975, 60914, 51059, 50451, 52242, 50975, 50459, 53382, 50975, 52292, 51072, 52478, 53382, 59216, 53296, 50975, 57557, 51059, 50434, 53882, 73064, 53296, 50975, 58683, 50975, 50449, 60914, 50823, 53334, 75255, 71461, 54178, 53382, 50823, 53322, 50975, 50460, 60914, 50823, 51809, 53640, 51066, 52292, 51059, 50423, 53571, 50975, 50425, 52662, 58860, 53640, 54935, 52662, 58221, 53296, 50975, 52662, 50975, 50439, 53571, 50975, 53640, 51072, 50446, 57354, 51059, 50454, 71461, 50975, 50461, 58683, 50975, 55753, 52443, 50975, 57557, 51059, 50428, 53322, 50975, 50436, 53640, 50975, 53334, 63757, 53382, 57915, 53640, 55059, 52662, 57795, 53640, 58614, 51975, 50975, 52662, 51059, 50459, 52242, 50975, 52478, 60914, 50975, 52292, 66489, 71461, 50975, 50433, 51975, 50975, 60914, 51059, 50441, 52242, 50975, 50449, 53382, 50975, 52292, 64531, 53382, 50975, 51809, 53296, 50975, 57557, 51059, 50423, 53882, 50975, 50431, 53296, 50975, 58683, 60363, 60914, 50823, 53334, 50975, 50442, 71461, 56695, 53382, 50823, 53322, 58981, 60914, 60111, 53640, 50975, 52292, 51059, 50461, 53640, 50811, 53571, 51072, 51601, 52662, 55804, 53640, 60861, 52662, 59852, 53382, 57646, 53640, 58242, 53382, 52968, 53640, 63022, 53296, 59959, 53640, 65733, 54066, 50811, 53249, 60363, 53382, 59071, 54066, 55092, 53382, 62148, 53571, 73704, 53382, 66054, 60914, 50811, 53296, 75255, 54066, 59730, 60914, 52884, 54066, 59868, 56495, 50975, 50799, 60914, 59889, 54066, 50811, 53571, 62420, 53382, 57646, 54066, 58242, 53382, 65214, 53249, 50975, 50429, 53382, 61964, 60914, 50811, 53296, 50975, 50435, 54066, 57784, 60914, 59071, 54066, 67586, 56495, 58919, 60914, 70290, 54066, 50811, 53571, 58981, 53382, 62161, 54066, 59154, 53382, 52325, 53249, 50975, 50459, 53382, 50823, 51601, 54066, 50823, 53296, 51059, 50419, 58683, 60134, 54066, 53537, 53382, 58656, 53640, 55996, 52662, 53925, 52205, 50823, 52573, 50975, 50442, 53731, 67505, 52205, 50823, 53334, 51059, 50449, 52662, 58615, 53640, 50823, 56495, 50975, 50457, 53382, 62181, 54066, 50811, 52292, 50975, 50799, 53382, 62601, 54066, 60208, 53382, 53213, 54066, 50811, 53571, 72693, 53382, 58242, 53640, 52968, 53382, 61347, 54066, 50823, 53296, 51009, 50431, 58683, 59184, 54066, 65196, 53382, 69455, 53640, 56695, 52662, 53798, 52205, 50823, 52573, 72747, 53731, 56250, 52205, 50823, 53334, 51059, 50799, 66262, 61410, 60914, 50823, 56495, 50975, 50421, 53382, 63606, 53640, 51066, 53571, 51059, 50433, 59988, 73637, 52662, 58212, 53640, 52952, 52662, 61746, 53640, 51009, 57354, 51407, 56020, 56495, 51407, 50430, 53640, 60363, 60914, 50975, 50445, 53640, 75255, 60914, 51059, 50460, 53334, 50975, 52591, 52292, 50975, 57557, 51059, 50427, 52049, 51072, 50435, 57557, 57784, 53382, 59071, 57557, 55092, 53382, 71138, 53324, 74661, 53382, 53798, 53382, 50811, 52049, 50975, 50452, 53640, 59154, 53382, 52884, 53640, 59868, 52740, 50975, 50461, 53640, 50823, 52177, 53640, 50811, 52292, 50975, 50419, 54073, 59852, 53640, 54381, 54073, 65214, 52292, 50975, 50428, 54073, 54179, 54073, 50811, 52740, 73637, 52205, 58212, 54073, 52952, 52205, 67586, 52550, 63757, 52205, 59981, 52205, 57795, 52342, 58614, 52205, 55552, 52342, 60646, 53882, 50975, 50459, 52342, 50823, 50799, 52342, 50811, 52550, 50975, 50416, 52416, 60208, 52342, 53213, 52416, 60449, 53296, 59216, 52416, 58656, 52342, 50823, 54769, 50975, 50433, 52342, 61109 ]

[ 0, 250, 765, 37903, 9, 15855, 930, 19, 5175, 4785, 6, 4246, 10, 15352, 30054, 8, 20425, 6711, 4, 85, 18, 278, 11, 5, 762, 9, 274, 3694, 19, 10, 1769, 20889, 8, 10, 204, 73, 306, 86, 6543, 4, 20, 33215, 16739, 1171, 274, 119, 6, 230, 10431, 6, 2060, 119, 1176, 406, 6, 274, 6, 8, 274, 119, 406, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 59626, 51234, 52115, 50997, 51631, 50906, 51736, 51234, 51646, 50931, 51918, 50997, 51798, 51028, 51923, 50997, 50795, 54960, 52115, 51234, 51631, 51028, 51736, 50997, 51646, 50876, 51918, 50965, 51798, 51234, 51923, 50906, 50795, 59130, 52115, 50989, 51631, 50906, 51736, 51378, 51646, 50931, 51918, 50989, 51798, 51028, 51923, 50989, 50795, 60497, 52115, 51360, 51631, 50931, 51736, 51040, 51646, 51001, 51918, 50900, 51798, 50931, 51923, 50900, 50795, 54662, 52115, 50997, 51631, 50906, 51736, 51234, 51646, 50931, 51918, 50997, 51798, 51028, 51923, 50997, 50795, 54960, 52115, 51234, 51631, 51028, 51736, 50997, 51646, 50876, 51918, 50965, 51798, 51234, 51923, 50906, 50795, 59130, 52115, 50989, 51631, 50906, 51736, 51378, 51646, 50931, 51918, 50989, 51798, 51028, 51923, 50989, 50795, 60820, 52115, 51360, 51631, 51147, 51736, 51040, 51646, 51001, 51918, 50900, 51798, 50931, 51923, 50900, 50795, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 0, 250, 2933, 8, 15352, 30054, 15855, 2125, 6, 19, 10, 11602, 9, 25306, 27456, 6, 4246, 5, 15651, 3222, 5785, 9, 4401, 757, 3178, 6, 11006, 4122, 12, 1054, 330, 13305, 6, 8, 13305, 4, 8504, 11, 5, 762, 9, 230, 3694, 8, 1375, 23, 41, 12447, 1001, 20889, 6, 42, 765, 15229, 11498, 10, 204, 73, 306, 86, 6543, 1328, 6, 19, 10, 33215, 16739, 9, 230, 119, 406, 6, 274, 119, 406, 6, 8, 272, 119, 406, 1271, 7, 63, 36355, 2088, 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 ]

[ 58375, 52206, 52024, 52206, 52024, 52206, 52024, 55760, 52024, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50662, 50280, 52121, 50796, 50799, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50438, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50799, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50297, 51293, 78741, 51293, 78741, 51293, 57689, 51293, 57689, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50292, 51293, 50664, 50300, 51293, 50664, 50300, 51293, 63089, 51293, 63089, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50664, 50295, 51293, 50664, 50302, 51293, 50664, 50302, 51293, 75384, 51293, 75384, 51293, 50439, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50335, 50859, 50418, 50665, 50330, 73888, 50665, 50328, 50859, 54379, 70884, 68919, 50859, 52789, 62209, 66346, 50859, 52901, 50833, 54379, 73418, 66509, 50859, 52277, 50833, 52789, 64662, 50665, 50311, 50859, 52364, 50833, 52901, 50844, 54379, 65859, 50665, 50306, 50859, 53165, 50833, 52277, 50844, 52789, 62884, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50335, 50859, 54652, 50833, 52364, 50844, 52901, 69859, 50665, 50330, 50859, 56434, 50833, 53165, 50844, 52277, 64300, 50665, 50328, 50859, 54652, 50844, 52364, 50822, 54379, 70832, 68919, 50859, 56434, 50844, 53165, 50822, 52789, 67509, 66346, 50859, 54652, 50822, 52901, 66145, 66509, 50859, 56434, 50822, 52277, 62474, 50665, 50311, 50859, 52364, 72070, 50665, 50306, 50859, 53165, 50833, 51601, 55760, 51077, 55760, 51077, 56163, 52212, 56163, 52212, 63089, 51359, 71628, 51655, 71628, 51655, 64822, 51655, 64822, 51655, 50439, 55760, 51077, 55760, 51077, 56163, 52212, 56163, 52212, 51601, 70472, 51077, 70472, 51077, 60513, 52212, 60513, 52212, 78741, 51359, 62760, 51655, 62760, 51655, 57673, 51655, 57673, 51655, 50439, 70472, 51077, 70472, 51077, 60513, 52212, 60513, 52212, 51601, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 74851, 51264, 63826, 51655, 63826, 53363, 71628, 53090, 71628, 54834, 50440, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 51809, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 50665, 50329, 50889, 50665, 50329, 51655, 50428, 50665, 50328, 50889, 58456, 51538, 50440, 50652, 50273, 51077, 50652, 50273, 51077, 61946, 52212, 61946, 52212, 79252, 50889, 50666, 50324, 51077, 50452, 74771, 50889, 63826, 50889, 51809, 63716, 51077, 63716, 51077, 51476, 52024, 50665, 50304, 67379, 51303, 52024, 50665, 50309, 76575, 72842, 50805, 53799, 56300, 50434, 74771, 50805, 63826, 54834, 50440, 63716, 51077, 63716, 51077, 66929, 50805, 52592, 53090, 50446, 79252, 51141, 50666, 50324, 53090, 51809, 63716, 51077, 63716, 51077, 50440, 60196, 51077, 60196, 51077, 51809, 55760, 51623, 55760, 51623, 51476, 52024, 50665, 50304, 67379, 51303, 52024, 50665, 50309, 76575, 72842, 50805, 53799, 56300, 50434, 74771, 50805, 63826, 54834, 50440, 68919, 50805, 52796, 53090, 50443, 55760, 51446, 55760, 51446, 50446, 50665, 50326, 51446, 73344, 53090, 51809, 55760, 51077, 55760, 51077, 50440, 55760, 51077, 55760, 51077, 52177, 63716, 51077, 63716, 51623, 52303, 52024, 50665, 50302, 67379, 51687, 52024, 50665, 50307, 58983, 68048, 50805, 55463, 56300, 50434, 66509, 50805, 57057, 54834, 50441, 63716, 51077, 66929, 50805, 52592, 53090, 50444, 63716, 51446, 50447, 50665, 50326, 51446, 73344, 53090, 52177, 63716, 51077, 63716, 51077, 50441, 63716, 51077, 63716, 51077, 52177, 51964, 52024, 51964, 52024, 54437, 52024, 54437, 52024, 50665, 50280, 52024, 50665, 50280, 52024, 77433, 52024, 50668, 50280, 52024, 50668, 50280, 53002, 50796, 52177, 50652, 50273, 51077, 50652, 50273, 51077, 52205, 50859, 59988, 51432, 59614, 63560, 52205, 55747, 52895, 50859, 52205, 53950, 52895, 50859, 52205, 58129, 52443, 50833, 59614, 51264, 50432, 52443, 55098, 52292, 50833, 52895, 53415, 52292, 50833, 52895, 58935, 50652, 50273, 51077, 50652, 50273, 51077, 52895, 50833, 52205, 53783, 52895, 50833, 52205, 55876, 52443, 50844, 52895, 54004, 52443, 50844, 52895, 58305, 52443, 50827, 52443, 54194, 52443, 50827, 52443, 56569, 52292, 50827, 52292, 50827, 50799, 52292, 50827, 52292, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 52205, 50859, 59988, 51432, 58872, 51696, 50420, 52205, 55747, 52895, 50859, 52205, 53950, 51981, 57676, 52895, 50859, 52205, 65337, 52443, 53627, 52443, 55098, 52292, 50833, 52895, 65833, 52292, 50833, 52895, 72473, 50652, 50273, 51077, 50652, 50273, 51077, 52895, 50833, 52205, 53783, 52895, 50833, 52205, 55876, 52443, 50844, 52895, 67447, 52443, 50844, 52895, 69500, 52443, 50827, 52443, 54194, 52443, 50827, 52443, 70568, 52292, 50827, 52292, 50827, 51601, 52292, 50827, 52292, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 51476, 51293, 51231, 51293, 51231, 51293, 64974, 50859, 54470, 76194, 64974, 72417, 58658, 50859, 64974, 66086, 51981, 51696, 58658, 50859, 64974, 65337, 54548, 60462, 54548, 66144, 53328, 50833, 58658, 65833, 53328, 50833, 58658, 72473, 50652, 50273, 51077, 50652, 50273, 51077, 58658, 50833, 64974, 71696, 58658, 50833, 64974, 71765, 54548, 50844, 58658, 67447, 54548, 50844, 58658, 69500, 54548, 50827, 54548, 66849, 54548, 50827, 54548, 70568, 53328, 50827, 53328, 50827, 51601, 53328, 50827, 53328, 73416, 50652, 50273, 51077, 50652, 50273, 51077, 53001, 51551, 54872, 51293, 51687, 51293, 51687, 51293, 56549, 51627, 56549, 51080, 50430, 53001, 51356, 50439, 56549, 51080, 50442, 50652, 50273, 51077, 50652, 50273, 51077, 52932, 51551, 56549, 51080, 50454, 52932, 51356, 51601, 56549, 51080, 50418, 50652, 50273, 51077, 50652, 50273, 51077, 51825, 52282, 52303, 51293, 51303, 51293, 51303, 51293, 56549, 51080, 50430, 51825, 51941, 50439, 56549, 51080, 50442, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 51601, 56549, 51080, 50418, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 50665, 50335, 73888, 50665, 50330, 72417, 50665, 50328, 50859, 54379, 62209, 68919, 50859, 52789, 65197, 66346, 50859, 52901, 50833, 54379, 64662, 66509, 50859, 52277, 50833, 52789, 68522, 50665, 50311, 50859, 52364, 50833, 52901, 50844, 54379, 62884, 56549, 51080, 50665, 50306, 50859, 53165, 50833, 52277, 50844, 52789, 69859, 50652, 50273, 51077, 50652, 50273, 51077, 56549, 51080, 50665, 50335, 50859, 54652, 50833, 52364, 50844, 52901, 64300, 50665, 50330, 50859, 56434, 50833, 53165, 50844, 52277, 69300, 50665, 50328, 50859, 54652, 50844, 52364, 50822, 54379, 67509, 68919, 50859, 56434, 50844, 53165, 50822, 52789, 66145, 66346, 50859, 54652, 50822, 52901, 62474, 66509, 50859, 56434, 50822, 52277, 72070, 50665, 50311, 50859, 52364 ]

[ 0, 713, 14899, 5175, 2214, 11, 2060, 538, 22750, 1626, 11098, 8, 10563, 6, 3185, 30, 5, 20902, 3222, 5785, 9, 3741, 27374, 594, 6, 20535, 2810, 6, 579, 1517, 20426, 31365, 25999, 6, 228, 438, 4781, 2088, 6757, 6, 8, 21979, 8669, 4, 590, 10, 7212, 20889, 9, 5962, 13410, 228, 2289, 8, 10, 204, 73, 306, 86, 6543, 6, 24, 11498, 10, 5204, 2365, 619, 1328, 6, 17407, 30, 5, 16331, 33215, 13931, 9, 12608, 406, 6, 274, 406, 73, 250, 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 ]

[ 54458, 50796, 50796, 50799, 51769, 59520, 63974, 57705, 51587, 53403, 51587, 56616, 64465, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 53040, 51587, 63974, 56650, 51587, 56616, 60159, 51769, 59520, 54847, 51587, 53057, 51587, 63974, 56246, 51587, 73108, 53685, 51587, 56616, 67172, 51587, 56616, 50388, 55550, 50884, 72411, 63974, 64494, 66335, 51587, 53403, 51587, 54316, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 56616, 60364, 51587, 63974, 56650, 51587, 52986, 51769, 59520, 56616, 64046, 51587, 56616, 57887, 51587, 63974, 56246, 51587, 56616, 50388, 55550, 53685, 51587, 54991, 51587, 56616, 51010, 50799, 51769, 59520, 63974, 57705, 51587, 53403, 51587, 56616, 64465, 51587, 56616, 50388, 55550, 53150, 51587, 63974, 56499, 51587, 53063, 51587, 56616, 60896, 51587, 53040, 51587, 63974, 64494, 68491, 51587, 52986, 51769, 59520, 56616, 64046, 51587, 56616, 57887, 51587, 63974, 56246, 51587, 73108, 53685, 51587, 56616, 67172, 51587, 56616, 50388, 55550, 50884, 50799, 65662, 52208, 70244, 52379, 51587, 63974, 64494, 66335, 51587, 53403, 51587, 54316, 51587, 56616, 50388, 55550, 50884, 51694, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 51587, 56616, 60896, 51587, 56616, 60364, 50816, 56804, 64494, 64329, 51031, 50440, 50816, 50846, 53525, 56804, 59808, 50816, 53239, 50816, 75877, 59263, 64329, 50834, 56594, 55354, 50816, 56804, 58078, 50816, 50846, 51899, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 50816, 56804, 50834, 56032, 50846, 53206, 56804, 56616, 74380, 50816, 50846, 50799, 52747, 51483, 54348, 51653, 61708, 51653, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 51459, 75877, 59520, 63974, 53498, 56390, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50923, 56418, 50911, 52723, 51459, 56804, 63292, 61184, 51587, 56616, 60159, 57865, 51010, 53863, 51173, 59930, 50879, 53232, 50882, 55042, 57575, 58019, 59520, 54847, 53631, 51010, 54242, 69529, 53057, 57178, 51010, 56853, 50821, 57518, 50859, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 51045, 52723, 51459, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 51010, 53469, 50882, 54095, 57575, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 54380, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 53509, 56429, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 54380, 51010, 53509, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 57865, 50950, 55042, 51045, 52723, 51459, 56804, 63292, 61184, 51587, 52986, 57865, 51010, 55042, 54168, 52546, 58019, 59263, 64329, 54847, 51587, 56616, 57887, 52747, 51653, 54348, 51932, 61708, 51653, 53631, 50950, 54242, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 53631, 51010, 54242, 54701, 63974, 54991, 51587, 56616, 51010, 50799, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 52281, 59520, 56804, 63974, 57705, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50911, 56418, 50923, 52723, 51459, 56804, 64494, 64329, 61184, 51587, 52986, 57865, 51010, 53863, 50924, 59930, 50806, 53232, 50882, 55042, 57575, 58019, 59520, 56616, 64046, 53631, 51010, 54242, 69529, 56616, 57887, 57178, 51010, 56853, 50806, 57518, 51173, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 56853, 50882, 74146, 50882, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 54168, 63856, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 50950, 53469, 50882, 54095, 69951, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 53133, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 54238, 64839, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53133, 51010, 54238, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 56520, 50950, 56820, 51045, 52723, 51459, 56804, 64494, 64329, 61184, 53152, 51010, 52578, 64329, 52986, 52489, 51010, 52747, 51010, 56520, 50950, 56820, 54168, 52546, 58019, 59263, 64329, 54847, 53152, 50930, 52578, 64329, 53057, 52310, 51010, 53170, 51010, 55096, 50950, 58606, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 52489, 51010, 52747, 64329, 56616, 50388, 55550, 53685, 53152, 51010, 52578, 51010, 55096, 51010, 58606, 57575, 63974, 54991, 52489, 51010, 52747, 64329, 56616, 51010, 50799, 66263, 51745, 57147, 51054, 53232, 50882, 55058, 51745, 52723, 52281, 59520, 56804, 63974, 53498, 56390, 53252, 51030, 51587, 53403, 53469, 66036, 63974, 56616, 64465, 52118, 51033, 51587, 56616, 50388, 55550, 53150, 53232, 50821, 56441, 51286, 55348, 51379, 53165, 51379, 54614, 51167, 50816, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 53232, 66036, 54514, 56616, 60896, 56441, 50930, 55348, 50930, 53165, 50880, 54614, 61320, 53040, 55602, 50923, 56418, 50911, 52723, 51459, 56804, 63292, 61184, 51587, 56616, 60159, 57865, 51010, 53863, 51173, 59930, 50879, 53232, 50882, 55042, 57575, 58019, 59520, 54847, 53631, 51010, 54242, 69529, 53057, 57178, 51010, 56853, 50821, 57518, 50859, 53232, 50882, 54621, 56429, 56804, 56804, 63292, 51031, 59986, 55079, 53252, 50921, 51587, 73108, 53685, 57865, 51031, 53469, 51033, 55042, 54701, 54514, 56616, 67172, 57178, 51010, 52118, 50858, 54621, 69529, 56616, 50388, 55550, 50884, 50799, 54634, 50950, 53232, 50882, 54095, 51045, 52723, 51459, 56804, 64494, 64329, 62745, 53469, 61945, 53403, 54634, 51010, 53469, 50882, 54095, 57575, 63974, 54316, 51587, 56616, 50388, 55550, 53150, 54380, 50950, 53469, 50911, 58225, 51286, 55348, 51379, 55169, 51379, 52842, 51286, 53509, 56429, 56804, 56804, 63292, 51031, 63261, 54660, 51587, 53063, 54380, 51010, 53509, 57575, 54514, 56616, 60896, 58225, 50880, 55348, 50890, 55169, 50890, 52842, 64089, 56616, 60364, 57865, 50950, 55042, 51045, 52723, 51459, 56804, 63292, 61184, 51587, 52986, 57865, 51010, 55042, 54168, 52546, 58019, 59263, 64329, 54847, 51587, 56616, 57887, 52747, 51653, 54348, 51653, 61708, 51653, 53631, 50950, 54242, 64839, 56804, 56804, 63292, 51031, 59986, 55079, 51587, 56616, 50388, 55550, 53685, 53631, 51010, 54242, 54701 ]

[ 0, 250, 15855, 2125, 19, 10, 19834, 16464, 6, 42, 30389, 28668, 2214, 11, 381, 3694, 1931, 21683, 10, 32076, 8, 15352, 30054, 5466, 6, 1969, 13, 10, 822, 50, 41, 9733, 4, 20, 13305, 8, 12280, 3275, 1725, 3109, 4477, 159, 5, 46336, 4811, 6, 150, 5, 579, 1517, 20426, 31365, 25999, 1239, 5, 483, 6, 2800, 30, 5, 41063, 15796, 24456, 9, 21072, 8, 21979, 9590, 4, 20, 16331, 33215, 16739, 9, 3676, 406, 6, 83, 6, 8, 163, 119, 3639, 7, 63, 13363, 28191, 2868, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

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

[ 56103, 50796, 62987, 51103, 56531, 51277, 59930, 52204, 51925, 53023, 52876, 50904, 52803, 50886, 54148, 53816, 52670, 50801, 52818, 52876, 50864, 52803, 50825, 54148, 53944, 52896, 51273, 51103, 54708, 53783, 54033, 50941, 52978, 50829, 54816, 53816, 52772, 50801, 58351, 54708, 54583, 54033, 50870, 52978, 50829, 54816, 53816, 50825, 56098, 51413, 54764, 55587, 55142, 50825, 54148, 50813, 52837, 54640, 52641, 50801, 60741, 50902, 51775, 50432, 55142, 50825, 77976, 52837, 55147, 52896, 51493, 50915, 54764, 58344, 51146, 51775, 50444, 55142, 50837, 54148, 50829, 52837, 60822, 72415, 51618, 53533, 51273, 67294, 58351, 54708, 54139, 51430, 51534, 50456, 54033, 50863, 52978, 50834, 54816, 59036, 50843, 50928, 51621, 50828, 62987, 51103, 56531, 50859, 51402, 57236, 52876, 50941, 52803, 50864, 54148, 55716, 50908, 51510, 51258, 55057, 55170, 50835, 51532, 57617, 52876, 50864, 52803, 50863, 54148, 56129, 52766, 51273, 51127, 54708, 52510, 54033, 50864, 52978, 50835, 54816, 53944, 52772, 50801, 58351, 54708, 52485, 54033, 50904, 79672, 54816, 54640, 50825, 56098, 51397, 54764, 55105, 55142, 50835, 54148, 50829, 52837, 54640, 52641, 50801, 55001, 51114, 60675, 55142, 50829, 54148, 50835, 52837, 70789, 51166, 50843, 54034, 51146, 51542, 79589, 53269, 51493, 51003, 54764, 59360, 59930, 51058, 50442, 51787, 68982, 55142, 50835, 54148, 50829, 52837, 50837, 54985, 50912, 51842, 50445, 51487, 50907, 55894, 51004, 51618, 60954, 53863, 69774, 52912, 51373, 53430, 51273, 51124, 59683, 58351, 54708, 50809, 55226, 50955, 50452, 55602, 51365, 54710, 65496, 53117, 53820, 54033, 50904, 52978, 50857, 54816, 50820, 53863, 61551, 57059, 51487, 58247, 51493, 50864, 56213, 50907, 79651, 51787, 50941, 62987, 51127, 56531, 54692, 56075, 55602, 55584, 50416, 51430, 52263, 53440, 57236, 52876, 50864, 52803, 50864, 54148, 55316, 53423, 53771, 52147, 50843, 51258, 55057, 53669, 50835, 53764, 63256, 52876, 50864, 52803, 50941, 54148, 50867, 52261, 64993, 58930, 51273, 51103, 54708, 55250, 50825, 54268, 57278, 54033, 50941, 79672, 54816, 51539, 55354, 50843, 56663, 50843, 53617, 58351, 54708, 50840, 54710, 59923, 54033, 50904, 52978, 50837, 54816, 51833, 50884, 55975, 51258, 56098, 51397, 54764, 79434, 51203, 50843, 56166, 50973, 51051, 50843, 57236, 55142, 50886, 54148, 50835, 52837, 64026, 69707, 53423, 50973, 57821, 51258, 55057, 53669, 58815, 51220, 51309, 50429, 50973, 51051, 50843, 63256, 55142, 50829, 77976, 52837, 51833, 59076, 51001, 52179, 50951, 51534, 50435, 52659, 61551, 51306, 50436, 50973, 54584, 51493, 50901, 54764, 79434, 59301, 54905, 50973, 71986, 57278, 51705, 50905, 55142, 50829, 54148, 50829, 52837, 51833, 58953, 50951, 50892, 59341, 51258, 50448, 50973, 54004, 51098, 51172, 56213, 51965, 50843, 53617, 58351, 54708, 77786, 51124, 54710, 79104, 50973, 54194, 54033, 50904, 52978, 50835, 54816, 78945, 51212, 50852, 54026, 51493, 73849, 50822, 62987, 51127, 56531, 50812, 51220, 51100, 50417, 50973, 56395, 64040, 53250, 51376, 50420, 52876, 50864, 52803, 50904, 54148, 63269, 51328, 50791, 53423, 50973, 55638, 51258, 50424, 53077, 52580, 51062, 69022, 53669, 58815, 54812, 70545, 50973, 61005, 51693, 50430, 51146, 51124, 50431, 56213, 54557, 50432, 52876, 50886, 52803, 50886, 54148, 50857, 52261, 50433, 50951, 64945, 50843, 51306, 50436, 50973, 55666, 51273, 51145, 54708, 79969, 68753, 54905, 50973, 61005, 57278, 54033, 50904, 52978, 50835, 54816, 78945, 51058, 75764, 50973, 56661, 56663, 51220, 51806, 50843, 53617, 58351, 54708, 50840, 53250, 51524, 50453, 50973, 51051, 50843, 51306, 50455, 53077, 55346, 54033, 50864, 52978, 50886, 54816, 78945, 60593, 56419, 69550, 54812, 50362, 51163, 51258, 56098, 51397, 54764, 77786, 51177, 50843, 57829, 56213, 51738, 50416, 50973, 54447, 51004, 53440, 64040, 50791, 54303, 55142, 50867, 54148, 50867, 52837, 70789, 51101, 50843, 54604, 50973, 51589, 70297, 53250, 58844, 51220, 51194, 50801, 54640, 54013, 50973, 50955, 53077, 51210, 70767, 55142, 50857, 54148, 50835, 52837, 58043, 57004, 50951, 50892, 54812, 51832, 51556, 63122, 63475, 56213, 76555, 51493, 51363, 54764, 54845, 56068, 51220, 50845, 50440, 59526, 54268, 59457, 64542, 50443, 50791, 54406, 55142, 50867, 54148, 50835, 52837, 55681, 57028, 50951, 55854, 51668, 50971, 51960, 50448, 69550, 50449, 54812, 53096, 50450, 51273, 51775, 50801, 55147, 58517, 54708, 79434, 51174, 50453, 51468, 50454, 50973, 59593, 54033, 50971, 52978, 50835, 54816, 73926, 53934, 58908, 71985, 50458, 55062, 55490, 50460, 51493, 73209, 50908, 62987, 51103, 56531, 51277, 50843, 52445, 50420, 52876, 50904, 52803, 50886, 54148, 51464, 62184, 50929, 52580, 58018, 51258, 50427, 51292, 73418, 51563, 53911, 52876, 50864, 52803, 50825, 54148, 64429, 55630, 60591, 51788, 60592, 51273, 51103, 54708, 56944, 51004, 50442, 51786, 63280, 54033, 50941, 52978, 50829, 54816, 51464, 55686, 51067, 58175, 57936, 69232, 54708, 59012, 51032, 65628, 54033, 50870, 52978, 50829, 54816, 53816, 58908, 50903, 59652, 51076, 50974, 56098, 51413, 54764, 56230, 51129, 50418, 51786, 70304, 55142, 50825, 54148, 50813, 52837, 51750, 60548, 51786, 51627, 50426, 58018, 53962, 55142, 50825, 77976, 52837, 55147, 59607, 52621, 51493, 50915, 54764, 52847, 54189, 55142, 50837, 54148, 50829, 52837, 51750, 52805, 51273, 50981, 57936, 76595, 54708, 52485, 54033, 50863, 52978, 50834, 54816, 53816, 63972, 54370, 50903, 50820, 62987, 51103, 56531, 56593, 53738, 52876, 50941, 52803, 50864, 54148, 50867, 51842, 50422, 68236, 50425, 51292, 57629, 58018, 64838, 51563, 54150, 52876, 50864, 52803, 50863, 54148, 62156, 55630, 54950, 51788, 51174, 68005, 51127, 54708, 52847, 77060, 51786, 58991, 54033, 50864, 52978, 50835, 54816, 51539, 54284, 51067, 55514, 57936, 51004, 50451, 54708, 57637, 51032, 51534, 50456, 54033, 50904, 79672, 54816, 54640, 58901, 50903, 50835, 56098, 51397, 51076, 51592, 54764, 55716, 54183, 55142, 50835, 54148, 50829, 52837, 51750, 52670, 50801, 54640, 54354, 55142, 50829, 54148, 50835, 52837, 58257, 53944, 59131, 56213, 54927, 51493, 51003, 54764, 52847, 56819, 54985, 50959, 50441, 50903, 53846, 71096, 55602, 54394, 55142, 50835, 54148, 50829, 52837, 51916, 60479, 53077, 57298, 50801, 63078, 53250, 51126, 59848, 51273, 51124, 57936, 51004, 50451, 54708, 50809, 56213, 54900, 54033, 50904, 52978, 50857, 54816, 50820, 55602, 51709, 50843, 63972, 55397, 51493, 62495, 50903, 50828, 62987, 51103, 56531, 54692, 63222, 53863, 54711, 52876, 50864, 52803, 50864, 54148, 50886, 74199, 60287, 53771, 54211, 50426, 51292, 50959, 58018, 51258, 50430, 51563, 54221, 52876, 50864, 52803, 50941, 54148, 60840, 55630, 54950, 51788, 60592, 51273, 51103, 54708, 55250, 66065, 51786, 61255, 54033, 50941, 79672, 54816, 51539, 55686, 51067, 64533, 57936, 69232, 54708, 61348, 51032, 72492, 54033, 50904, 52978, 50837, 54816, 55147, 58908, 50903, 54603, 70951, 56098, 51413, 54764, 54996, 51129, 50417, 51786, 61378, 55142, 50886, 54148, 50835, 52837, 50867, 74467, 51786, 55440, 58018, 78342, 51292, 69227, 51786, 79309, 55142, 50829, 77976, 52837, 55147, 59607, 52621, 51493, 50915, 54764, 54996, 50982, 51572, 54406, 55142, 50829, 54148, 50829, 52837, 51833, 54673, 50843, 54044, 51273, 50981, 57936, 76595, 54708, 60632, 51292, 59631, 54033, 50904 ]