[ {
  "sequence" : {
    "name" : "VH_11066_3_A1.scf annotated",
    "sequence" : "GGGGGCTATATAGCTAC-ACTNNCCCAATATGATTTTATTTTGACTGATAGTGACCTGTTCGTTGCAACAAATCCGATGAGGGGATGCTTTTTTATAATGCCAACTTTGTACAAAAAATTTGGCATGAAGCACCTGTGGTTCTTCCTCCTGCTGGTGGCGGCTCCCAGATGGGTCCTGTCCCAGCTGCAGCTGCAGGAGTCGGGCCCAGGACTGGTGAAGTCTTCGGAGACCCTGTCCCTCACCTGCACTGTCTCTGGTGGCTCCATCAGCAGTAGTAGTTACTACTGGGGCTGGATCCGCCAGCCCCCAGGGAAGGGACTGGAGTGGATTGCAAATACCTATTATAGTGGAATCACCTACTACAACCCATCCCTCAAGAGTCGCGTCACCATATCCGTAGACACGTCCAAGAACCAGTTGTCCCTGAAGGTGAGGTCTGTGACCGCCGCAGACACGGCTGTGTATTTCTGTGCGAGGCATGGCTATAGCAGGTCGGGGCGAACTGGGGCGATTGACTACTGGGGCCAGGGAACCCTGGTCACCGTCTCCTCAGCATCCCCGACCAGCCCCAAGGTCTTCCCGCTGAGCCTCTGCAGCACCCAGCCAGATGGGAACGTGGTCATCGCCTGCCTGGTCCAGGGCTTCTTCCCCCAGGAGCCACTCAGTGTGACCTGGAGCGAAAGCGGACAGGGCGTGACCGCCAGAAACTTCCCACCCAGCCAGGATGCCTCCGGGGACCTGTACACCACGAGCAGCCAGCTGACCCTGCCGGCCACACAGTGCCTTAGCCGGCAAGTCCGTGAACTGCCACGTTAAGCACTACACGAATTCCCACCCAGGATGTGAATGTGCCCTGCCCAATTTCCTTCAATTCACCTACCCCATTTCCCTCAACTTCCCTTACCCCATTTCCTTCATGCTGCCACCCCCAACTGTAACTTCACCGAACGGTCCCTTTAAGAACTGCTTTTTAGTTTCATAAACGAAACCCTACCTGTCTCACTGGACGCGCCTTTAAAAATTCCCTTTAGAGTTAACCTCTACCCCGGAACTCCCCTCTAGTGGGAAAAACCGCCTGTTCTAAAGAACCCCCTGTAGACCGAACTCCTTATGGGTCCTATTAAGCATTCTACCCAGTGTTCCTTCCCAGTACTTTGTCGAAACTCTAGATAAACAGTGTAAAGATACATTCTATATCTCCCATTAATACCTCTACCCAGGTGTCTAGATATCCGACTTTAACACACCAACCCCTGTCGATATACCGAATAAGCATATCTTCTGCTCTCTAACGATCGCTTTAGTGTGCAATCCTCTCACTCTGTAGTTAATTATAACTCCTTACTATAACTTCGTGACCACTATATATCCGCGTCTCTATCCTATATCTCGTACTTCTGAAG",
    "circular" : false,
    "sequenceType" : "Nucleotide",
    "qualities" : [ 9, 9, 9, 9, 6, 6, 6, 6, 7, 7, 7, 6, 6, 6, 6, 6, 6, 9, 9, 10, 4, 0, 0, 4, 12, 12, 15, 22, 23, 25, 29, 32, 34, 39, 27, 29, 29, 29, 29, 29, 46, 40, 40, 40, 39, 35, 35, 35, 34, 34, 34, 34, 34, 34, 39, 34, 34, 34, 34, 34, 34, 39, 39, 39, 39, 39, 46, 44, 44, 24, 24, 10, 8, 6, 6, 6, 6, 7, 10, 10, 16, 7, 6, 6, 6, 8, 16, 21, 29, 39, 40, 39, 39, 39, 39, 35, 35, 35, 35, 51, 51, 56, 40, 40, 40, 39, 39, 34, 34, 34, 34, 34, 39, 56, 48, 33, 21, 15, 17, 17, 25, 25, 37, 37, 37, 40, 45, 45, 45, 51, 56, 40, 40, 40, 39, 39, 39, 39, 35, 35, 35, 35, 39, 39, 40, 40, 40, 40, 40, 35, 35, 35, 35, 35, 35, 40, 40, 40, 45, 37, 40, 40, 40, 40, 40, 45, 56, 45, 45, 45, 45, 45, 45, 40, 40, 40, 40, 45, 45, 51, 51, 56, 40, 39, 35, 35, 39, 39, 45, 51, 51, 46, 46, 37, 37, 37, 46, 45, 45, 45, 45, 45, 45, 51, 51, 56, 51, 51, 40, 45, 45, 45, 45, 45, 51, 51, 51, 51, 51, 45, 45, 45, 45, 45, 51, 56, 56, 51, 51, 51, 45, 45, 45, 45, 45, 45, 45, 45, 45, 51, 51, 51, 51, 51, 51, 51, 51, 45, 45, 45, 43, 43, 43, 43, 43, 43, 45, 51, 43, 43, 43, 43, 43, 43, 43, 45, 51, 51, 51, 56, 51, 45, 45, 45, 45, 45, 51, 56, 51, 51, 51, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 56, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 43, 40, 40, 38, 38, 38, 46, 46, 51, 51, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 56, 51, 45, 41, 41, 41, 45, 51, 56, 56, 56, 51, 51, 51, 51, 51, 51, 56, 56, 56, 56, 56, 56, 46, 45, 45, 45, 41, 41, 43, 56, 56, 56, 56, 46, 43, 41, 41, 41, 45, 51, 51, 56, 56, 56, 56, 56, 56, 56, 51, 51, 45, 45, 45, 45, 51, 51, 56, 56, 56, 56, 56, 56, 56, 51, 45, 45, 43, 45, 45, 51, 56, 56, 51, 43, 43, 43, 43, 43, 43, 51, 56, 56, 56, 56, 56, 56, 43, 43, 51, 51, 45, 43, 51, 51, 51, 51, 56, 56, 56, 56, 56, 51, 51, 51, 51, 45, 40, 40, 40, 40, 43, 56, 56, 50, 50, 50, 50, 56, 56, 56, 56, 56, 42, 43, 40, 40, 45, 45, 40, 40, 43, 43, 56, 40, 40, 45, 40, 37, 37, 37, 37, 37, 40, 56, 56, 56, 56, 56, 44, 44, 44, 44, 44, 56, 46, 46, 43, 40, 40, 45, 42, 42, 42, 42, 42, 45, 45, 40, 40, 40, 51, 56, 48, 48, 33, 30, 26, 35, 35, 45, 42, 56, 56, 46, 43, 46, 42, 42, 42, 47, 42, 42, 40, 40, 40, 38, 42, 42, 42, 56, 56, 56, 56, 56, 56, 42, 42, 43, 40, 38, 35, 35, 40, 45, 42, 42, 42, 40, 40, 40, 40, 35, 42, 42, 44, 44, 56, 56, 40, 40, 40, 40, 40, 48, 40, 40, 32, 25, 22, 25, 27, 27, 32, 34, 32, 40, 40, 48, 44, 44, 40, 40, 42, 42, 42, 42, 33, 33, 18, 18, 18, 30, 39, 40, 35, 30, 30, 21, 27, 25, 33, 33, 40, 40, 40, 40, 40, 27, 22, 22, 25, 25, 21, 22, 27, 28, 31, 31, 23, 28, 25, 29, 27, 27, 25, 25, 22, 29, 24, 24, 13, 14, 14, 24, 29, 29, 27, 24, 24, 22, 22, 24, 25, 17, 17, 9, 9, 12, 19, 16, 19, 15, 12, 10, 13, 9, 9, 9, 19, 17, 26, 20, 22, 22, 29, 29, 20, 16, 15, 10, 9, 12, 20, 23, 29, 25, 27, 25, 29, 29, 22, 24, 15, 18, 18, 20, 19, 15, 15, 15, 9, 13, 8, 8, 12, 13, 13, 12, 11, 11, 11, 10, 10, 9, 9, 7, 7, 10, 13, 21, 29, 29, 29, 14, 12, 10, 12, 8, 8, 13, 21, 23, 32, 32, 20, 19, 14, 9, 6, 8, 6, 6, 8, 9, 12, 21, 18, 29, 19, 16, 16, 11, 11, 12, 13, 17, 11, 8, 6, 8, 11, 12, 12, 20, 16, 16, 14, 7, 7, 9, 9, 15, 9, 13, 19, 16, 11, 10, 9, 9, 7, 7, 12, 11, 11, 14, 13, 9, 11, 9, 7, 7, 11, 8, 8, 6, 6, 6, 10, 10, 10, 15, 13, 15, 12, 11, 12, 8, 8, 8, 8, 10, 10, 12, 12, 16, 12, 17, 10, 10, 9, 9, 9, 11, 7, 7, 12, 17, 18, 25, 23, 16, 10, 9, 9, 9, 12, 17, 13, 9, 9, 12, 16, 11, 12, 9, 8, 10, 12, 11, 12, 11, 8, 6, 11, 6, 6, 8, 8, 9, 9, 7, 10, 11, 12, 12, 12, 17, 17, 17, 15, 16, 12, 11, 8, 8, 13, 15, 17, 17, 10, 10, 11, 10, 11, 11, 14, 20, 18, 12, 8, 8, 9, 9, 11, 8, 7, 9, 9, 11, 11, 9, 10, 9, 9, 9, 9, 10, 7, 7, 9, 9, 11, 11, 11, 13, 10, 10, 8, 7, 10, 9, 9, 7, 7, 9, 10, 9, 9, 9, 9, 9, 16, 21, 13, 16, 11, 9, 8, 6, 7, 9, 11, 12, 12, 9, 16, 13, 9, 9, 9, 13, 17, 8, 8, 6, 6, 8, 8, 8, 8, 6, 6, 11, 8, 8, 8, 8, 6, 6, 6, 8, 8, 6, 6, 8, 8, 12, 13, 11, 10, 11, 12, 10, 10, 7, 7, 9, 6, 6, 8, 6, 6, 12, 11, 8, 8, 8, 11, 8, 8, 6, 6, 8, 13, 6, 6, 6, 6, 8, 6, 6, 8, 8, 11, 9, 8, 9, 9, 9, 10, 8, 8, 6, 6, 8, 8, 10, 12, 11, 10, 11, 13, 13, 9, 6, 8, 6, 6, 8, 8, 6, 6, 8, 12, 10, 6, 7, 11, 10, 15, 15, 14, 14, 13, 10, 6, 12, 7, 7, 9, 8, 8, 6, 6, 8, 8, 9, 9, 6, 6, 8, 9, 11, 11, 12, 13, 11, 11, 10, 9, 8, 8, 8, 6, 6, 8, 8, 6, 6, 9, 9, 9, 10, 17, 12, 13, 12, 16, 11, 9, 9, 9, 7, 7, 9, 9, 9, 7, 7, 9, 9, 9, 9, 9, 10, 10, 7, 7, 9, 9, 9, 8, 9, 9, 9, 10, 11, 11, 8, 8, 8, 8, 8, 9, 14, 10, 10, 10, 8, 8, 8, 8, 8, 8, 10, 10, 9, 9, 10, 11, 13, 9, 9, 6, 6, 6, 6, 8, 8, 6, 6, 10, 9, 8, 8, 6, 6, 6, 8, 8, 9, 9, 9, 9, 10, 11, 10, 9, 9, 10, 10, 10, 9, 8, 8, 8, 8, 8, 9, 9, 6, 6, 6, 6, 8, 8, 9, 9, 9, 10, 9, 9, 7, 8, 12, 12, 8, 8, 6, 6, 8, 6, 6, 6, 6, 8, 8, 8, 6, 6, 8, 6, 7, 7, 7, 9, 10, 10, 8, 6, 6, 10, 6, 7, 12, 10, 10, 11, 8, 8, 6, 6, 8, 9, 11, 9, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 11, 14, 14, 10, 8, 6, 6, 8, 8, 9, 9, 9, 7, 8, 9, 8, 8, 6, 6, 8, 8, 8, 8, 12, 8, 8, 10, 8, 6, 8, 8, 10, 9, 9, 10, 10, 6, 8, 11, 9, 9, 9, 9, 9, 9, 8, 8, 6, 6, 9, 8, 8, 8, 6, 6, 6, 6, 6, 8, 9, 9, 6, 6, 8, 8, 9, 9, 8, 6, 6, 6, 6, 6, 8, 10, 11, 8, 8, 6, 6, 9, 9, 9, 9, 11, 11, 11, 8, 8, 6, 6, 9, 8, 9, 9, 12, 8, 8, 8, 6, 6, 6, 9, 8, 8, 6, 6, 8, 8, 6 ],
    "chromatogram" : {
      "baseCallPositions" : [ 7, 21, 23, 26, 66, 68, 82, 97, 104, 113, 133, 143, 150, 159, 163, 165, 177, 193, 207, 222, 237, 258, 270, 280, 288, 300, 316, 330, 343, 354, 370, 379, 393, 404, 416, 428, 440, 446, 458, 470, 483, 495, 505, 518, 527, 540, 549, 564, 575, 584, 595, 611, 620, 634, 643, 655, 670, 679, 696, 710, 719, 731, 746, 759, 768, 780, 790, 801, 812, 822, 834, 847, 861, 871, 881, 885, 899, 912, 923, 936, 949, 961, 970, 978, 982, 997, 1006, 1018, 1035, 1048, 1062, 1075, 1088, 1100, 1109, 1122, 1130, 1142, 1156, 1168, 1180, 1192, 1203, 1215, 1227, 1243, 1256, 1270, 1280, 1296, 1304, 1315, 1326, 1338, 1350, 1363, 1375, 1387, 1399, 1413, 1426, 1436, 1451, 1462, 1474, 1488, 1498, 1512, 1524, 1537, 1548, 1560, 1571, 1584, 1600, 1611, 1626, 1636, 1648, 1664, 1677, 1686, 1701, 1715, 1725, 1737, 1752, 1762, 1774, 1789, 1800, 1811, 1827, 1837, 1850, 1864, 1875, 1888, 1898, 1912, 1925, 1936, 1951, 1961, 1973, 1985, 1997, 2010, 2024, 2038, 2048, 2060, 2074, 2088, 2098, 2110, 2125, 2136, 2150, 2161, 2173, 2185, 2196, 2208, 2221, 2237, 2247, 2259, 2270, 2282, 2295, 2309, 2320, 2331, 2343, 2355, 2368, 2382, 2393, 2407, 2417, 2430, 2444, 2456, 2467, 2480, 2492, 2503, 2515, 2529, 2543, 2553, 2567, 2578, 2591, 2605, 2616, 2628, 2640, 2652, 2665, 2675, 2689, 2701, 2712, 2725, 2738, 2750, 2761, 2774, 2784, 2796, 2808, 2822, 2833, 2847, 2857, 2870, 2881, 2895, 2906, 2917, 2928, 2940, 2954, 2965, 2977, 2988, 3000, 3014, 3024, 3038, 3048, 3063, 3073, 3087, 3098, 3110, 3123, 3134, 3147, 3156, 3171, 3181, 3193, 3204, 3218, 3229, 3240, 3252, 3265, 3276, 3287, 3301, 3311, 3323, 3336, 3347, 3359, 3371, 3384, 3394, 3405, 3418, 3428, 3441, 3454, 3465, 3478, 3489, 3502, 3514, 3526, 3537, 3550, 3562, 3574, 3584, 3597, 3609, 3620, 3632, 3643, 3654, 3667, 3679, 3691, 3703, 3715, 3725, 3736, 3748, 3760, 3773, 3785, 3795, 3807, 3819, 3832, 3841, 3854, 3865, 3878, 3891, 3901, 3914, 3925, 3937, 3949, 3959, 3971, 3983, 3994, 4005, 4017, 4029, 4040, 4051, 4062, 4074, 4087, 4099, 4110, 4123, 4134, 4145, 4156, 4168, 4180, 4191, 4204, 4217, 4228, 4238, 4249, 4262, 4272, 4284, 4297, 4310, 4320, 4333, 4344, 4355, 4366, 4378, 4389, 4401, 4414, 4425, 4437, 4449, 4461, 4473, 4485, 4497, 4508, 4519, 4530, 4544, 4554, 4566, 4577, 4589, 4601, 4613, 4626, 4637, 4649, 4659, 4672, 4683, 4695, 4708, 4719, 4731, 4744, 4756, 4768, 4779, 4790, 4804, 4814, 4827, 4838, 4849, 4862, 4874, 4886, 4898, 4910, 4921, 4935, 4947, 4957, 4969, 4981, 4992, 5005, 5017, 5029, 5041, 5053, 5065, 5077, 5090, 5101, 5115, 5127, 5137, 5149, 5161, 5173, 5186, 5197, 5210, 5221, 5232, 5245, 5258, 5270, 5281, 5295, 5305, 5318, 5329, 5342, 5355, 5367, 5379, 5392, 5402, 5417, 5427, 5439, 5450, 5462, 5475, 5487, 5500, 5512, 5524, 5535, 5548, 5561, 5571, 5584, 5597, 5608, 5622, 5634, 5646, 5658, 5669, 5682, 5695, 5706, 5718, 5729, 5742, 5752, 5765, 5778, 5788, 5802, 5815, 5826, 5838, 5851, 5864, 5876, 5887, 5900, 5912, 5924, 5936, 5949, 5961, 5974, 5985, 5998, 6012, 6024, 6034, 6047, 6058, 6072, 6084, 6097, 6109, 6121, 6135, 6145, 6159, 6170, 6184, 6193, 6206, 6219, 6230, 6243, 6255, 6268, 6280, 6293, 6304, 6317, 6329, 6340, 6353, 6366, 6379, 6391, 6401, 6414, 6425, 6439, 6451, 6464, 6475, 6489, 6500, 6511, 6525, 6535, 6547, 6560, 6573, 6585, 6598, 6610, 6622, 6634, 6644, 6658, 6670, 6681, 6692, 6705, 6718, 6730, 6741, 6755, 6766, 6778, 6790, 6801, 6813, 6825, 6839, 6851, 6861, 6874, 6885, 6897, 6909, 6920, 6933, 6946, 6957, 6969, 6982, 6994, 7005, 7019, 7030, 7043, 7053, 7065, 7079, 7090, 7102, 7115, 7126, 7137, 7151, 7161, 7174, 7185, 7196, 7209, 7221, 7233, 7244, 7257, 7270, 7281, 7293, 7306, 7317, 7328, 7341, 7353, 7367, 7379, 7388, 7401, 7414, 7424, 7438, 7449, 7461, 7473, 7484, 7496, 7508, 7521, 7533, 7546, 7557, 7569, 7580, 7594, 7605, 7617, 7629, 7643, 7653, 7665, 7676, 7688, 7698, 7712, 7723, 7734, 7748, 7760, 7772, 7782, 7794, 7807, 7818, 7829, 7842, 7853, 7864, 7877, 7887, 7898, 7911, 7923, 7934, 7946, 7958, 7970, 7982, 7993, 8005, 8014, 8028, 8042, 8053, 8064, 8075, 8087, 8099, 8113, 8123, 8137, 8148, 8159, 8170, 8184, 8196, 8205, 8221, 8229, 8243, 8252, 8265, 8276, 8289, 8296, 8310, 8325, 8334, 8347, 8362, 8369, 8383, 8395, 8407, 8414, 8432, 8442, 8457, 8468, 8479, 8489, 8501, 8516, 8526, 8541, 8550, 8563, 8571, 8587, 8597, 8609, 8620, 8635, 8644, 8655, 8666, 8679, 8693, 8701, 8715, 8727, 8738, 8752, 8762, 8773, 8788, 8799, 8808, 8824, 8835, 8844, 8852, 8870, 8881, 8895, 8906, 8914, 8930, 8938, 8946, 8962, 8977, 8983, 9000, 9016, 9023, 9037, 9046, 9057, 9067, 9082, 9095, 9105, 9120, 9128, 9144, 9153, 9164, 9176, 9192, 9204, 9215, 9226, 9242, 9253, 9261, 9272, 9284, 9302, 9303, 9321, 9333, 9343, 9356, 9369, 9379, 9391, 9400, 9408, 9420, 9428, 9440, 9453, 9467, 9479, 9489, 9505, 9518, 9522, 9535, 9551, 9561, 9572, 9585, 9593, 9606, 9615, 9626, 9645, 9653, 9668, 9678, 9691, 9705, 9717, 9727, 9737, 9756, 9765, 9772, 9787, 9801, 9811, 9824, 9837, 9849, 9862, 9871, 9891, 9899, 9907, 9914, 9925, 9928, 9941, 9956, 9971, 9988, 9999, 10007, 10016, 10029, 10038, 10054, 10066, 10073, 10089, 10101, 10106, 10115, 10134, 10147, 10163, 10172, 10184, 10195, 10208, 10215, 10230, 10245, 10254, 10268, 10281, 10287, 10303, 10314, 10322, 10333, 10346, 10359, 10367, 10376, 10382, 10400, 10419, 10430, 10442, 10459, 10472, 10481, 10493, 10508, 10517, 10533, 10541, 10552, 10569, 10580, 10596, 10607, 10616, 10626, 10638, 10656, 10661, 10677, 10687, 10698, 10707, 10715, 10726, 10736, 10756, 10774, 10784, 10794, 10803, 10820, 10830, 10842, 10855, 10865, 10880, 10887, 10903, 10919, 10934, 10943, 10954, 10963, 10976, 10982, 10997, 11011, 11025, 11033, 11047, 11061, 11075, 11084, 11095, 11111, 11121, 11138, 11147, 11160, 11173, 11180, 11192, 11204, 11216, 11224, 11236, 11246, 11261, 11278, 11289, 11296, 11311, 11323, 11331, 11346, 11358, 11372, 11385, 11394, 11406, 11412, 11424, 11435, 11450, 11459, 11467, 11485, 11500, 11509, 11517, 11534, 11543, 11557, 11568, 11582, 11595, 11606, 11619, 11623, 11637, 11657, 11664, 11675, 11686, 11696, 11709, 11718, 11729, 11739, 11757, 11765, 11776, 11785, 11794, 11808, 11819, 11831, 11835, 11852, 11865, 11876, 11890, 11900, 11903, 11921, 11931, 11936, 11954, 11960, 11976, 11981, 11991, 12004, 12021, 12032, 12033, 12047, 12062, 12073, 12084, 12094, 12105, 12118, 12131, 12140, 12151, 12164, 12169, 12183, 12197, 12205, 12216, 12219, 12227, 12239, 12253, 12270, 12281, 12290, 12303, 12319, 12328, 12342, 12342, 12357, 12372, 12383, 12387, 12404, 12405, 12422, 12436, 12444, 12458, 12473, 12476, 12491, 12501, 12513, 12519, 12532, 12545, 12554, 12559, 12577, 12580, 12591, 12606, 12618, 12633, 12644, 12655, 12665, 12677, 12689, 12701, 12712, 12722, 12730, 12732, 12750, 12770, 12774, 12777, 12793, 12810, 12821, 12827, 12832, 12844, 12852, 12862, 12873, 12888, 12903, 12918, 12927, 12935, 12947, 12955, 12960, 12973, 12987, 12998, 13007, 13008, 13023, 13034, 13047, 13062, 13067, 13076, 13087, 13103, 13115, 13129, 13137, 13144, 13155, 13167, 13178, 13191, 13201, 13214, 13219, 13236, 13239, 13253, 13259, 13277, 13283, 13296, 13302, 13311, 13322, 13332, 13339, 13348, 13360, 13371, 13381, 13388, 13400, 13411, 13424, 13430, 13441, 13450, 13463, 13469, 13476, 13492, 13505, 13515, 13528, 13536, 13546, 13558, 13568, 13573, 13587, 13600, 13610, 13622, 13629, 13641, 13650, 13662, 13673, 13686, 13701, 13710, 13725, 13728, 13740, 13752, 13764, 13774, 13784, 13799, 13803, 13812, 13824, 13835, 13852, 13857, 13865, 13878, 13887, 13895, 13906, 13914, 13924, 13935, 13947, 13957, 13964, 13977, 13978, 13994, 14007, 14021, 14022, 14038, 14042, 14054, 14068, 14083, 14086, 14090, 14107, 14120, 14135, 14146, 14152, 14164, 14177, 14184, 14196, 14207, 14216, 14221, 14232, 14242, 14254, 14262, 14273, 14278, 14300, 14304, 14314, 14320, 14337, 14350, 14353, 14353, 14368, 14379, 14388, 14401, 14414, 14422, 14427, 14440, 14452, 14461, 14475, 14489, 14496, 14504, 14513, 14515, 14532, 14547, 14550, 14564, 14564, 14580, 14593, 14603, 14617, 14619, 14632, 14644, 14654, 14663, 14674, 14689, 14695, 14706, 14714, 14727, 14731, 14745, 14761, 14766, 14774, 14789, 14799, 14807, 14811, 14823, 14834, 14836, 14848, 14859, 14872, 14882, 14888, 14907, 14914, 14923, 14932, 14940, 14953, 14962, 14969, 14982, 14994, 15006, 15013, 15022, 15035, 15044, 15054, 15058, 15072, 15087, 15093, 15110, 15117, 15127, 15136, 15144, 15154, 15161, 15175, 15175, 15189, 15201, 15217, 15231, 15235, 15248, 15258, 15269, 15278, 15285, 15294, 15308, 15312, 15326, 15339, 15344, 15359, 15370, 15378, 15391, 15406, 15414, 15423, 15434, 15449, 15460, 15465, 15478, 15493, 15496, 15512, 15516, 15525, 15535, 15551, 15551, 15568, 15579, 15580, 15597, 15613, 15624, 15631, 15634, 15649, 15660, 15673, 15688, 15697, 15704, 15718, 15721, 15736, 15739, 15756, 15766, 15775, 15786, 15802, 15812, 15817, 15829, 15843, 15850, 15861, 15874, 15881, 15891, 15903, 15916, 15927, 15929, 15942, 15956, 15961, 15975, 15984, 15991, 16006, 16020, 16024, 16033, 16046, 16052, 16070, 16078, 16088, 16092, 16107, 16119, 16124 ],
      "a" : [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 15, 35, 61, 93, 127, 155, 173, 180, 177, 164, 148, 135, 134, 150, 189, 249, 324, 407, 487, 560, 628, 699, 790, 915, 1089, 1318, 1605, 1941, 2309, 2681, 3023, 3301, 3493, 3592, 3611, 3578, 3523, 3472, 3436, 3418, 3413, 3419, 3437, 3468, 3510, 3546, 3553, 3503, 3381, 3184, 2935, 2670, 2424, 2228, 2097, 2045, 2082, 2213, 2432, 2714, 3016, 3284, 3476, 3574, 3589, 3552, 3500, 3456, 3430, 3420, 3418, 3418, 3418, 3419, 3419, 3420, 3420, 3420, 3420, 3421, 3421, 3422, 3422, 3423, 3423, 3423, 3424, 3424, 3425, 3425, 3425, 3425, 3425, 3425, 3425, 3425, 3425, 3425, 3425, 3426, 3426, 3427, 3427, 3427, 3428, 3428, 3429, 3430, 3435, 3454, 3493, 3555, 3628, 3679, 3663, 3540, 3292, 2939, 2524, 2109, 1747, 1462, 1256, 1112, 1008, 930, 876, 846, 836, 842, 854, 867, 878, 886, 894, 906, 918, 926, 927, 915, 887, 845, 792, 732, 671, 617, 576, 555, 560, 594, 656, 739, 833, 926, 1005, 1062, 1089, 1084, 1045, 975, 880, 767, 644, 520, 404, 302, 218, 152, 103, 68, 45, 32, 30, 42, 66, 100, 141, 182, 217, 242, 255, 260, 261, 268, 284, 311, 342, 370, 387, 387, 369, 336, 292, 240, 183, 125, 79, 42, 16, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 39, 83, 143, 217, 295, 364, 421, 463, 493, 517, 538, 559, 580, 597, 606, 606, 600, 594, 597, 614, 646, 684, 718, 737, 728, 688, 618, 524, 414, 298, 192, 111, 52, 15, 9, 42, 98, 174, 271, 379, 479, 563, 629, 679, 717, 749, 779, 808, 835, 854, 860, 846, 810, 750, 668, 567, 455, 338, 224, 135, 69, 25, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 33, 95, 185, 299, 442, 581, 708, 817, 900, 950, 959, 922, 840, 722, 581, 434, 295, 181, 99, 43, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 18, 62, 134, 233, 364, 506, 644, 762, 847, 886, 872, 804, 690, 546, 390, 247, 138, 62, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 52, 113, 201, 320, 452, 582, 697, 780, 819, 806, 741, 632, 495, 349, 218, 119, 51, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 43, 100, 181, 285, 403, 515, 608, 671, 698, 681, 622, 526, 405, 275, 167, 84, 29, 1, 7, 24, 53, 95, 158, 235, 321, 409, 489, 548, 577, 570, 526, 449, 350, 243, 151, 79, 30, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 60, 132, 230, 353, 478, 583, 652, 676, 656, 594, 501, 388, 269, 168, 90, 35, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 14, 32, 58, 93, 139, 189, 242, 291, 330, 350, 350, 333, 311, 297, 303, 335, 386, 443, 488, 506, 486, 431, 349, 255, 164, 93, 43, 13, 0, 0, 0, 0, 0, 8, 36, 85, 154, 239, 327, 396, 435, 440, 412, 362, 305, 256, 230, 236, 273, 334, 402, 458, 485, 474, 427, 356, 280, 216, 181, 182, 223, 296, 387, 480, 553, 589, 579, 522, 426, 308, 198, 109, 46, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 3, 2, 1, 4, 9, 12, 13, 13, 11, 7, 2, 0, 4, 23, 60, 116, 196, 297, 402, 499, 573, 612, 607, 560, 479, 378, 272, 174, 100, 49, 17, 4, 7, 15, 23, 30, 34, 33, 26, 18, 11, 4, 0, 1, 5, 8, 11, 15, 21, 32, 57, 106, 187, 303, 449, 611, 766, 889, 957, 958, 895, 782, 640, 496, 367, 266, 193, 146, 118, 103, 98, 102, 112, 126, 136, 138, 129, 110, 87, 66, 49, 39, 33, 32, 35, 45, 68, 108, 167, 242, 329, 413, 482, 522, 527, 498, 447, 392, 353, 345, 370, 425, 493, 556, 594, 598, 561, 488, 389, 277, 177, 97, 41, 9, 0, 2, 7, 13, 17, 20, 21, 18, 13, 9, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 49, 108, 194, 310, 439, 560, 655, 706, 702, 644, 542, 413, 278, 167, 85, 31, 4, 0, 0, 0, 0, 6, 31, 81, 154, 252, 362, 462, 529, 552, 525, 456, 368, 288, 241, 245, 303, 401, 518, 623, 693, 710, 668, 574, 446, 308, 187, 95, 36, 8, 4, 5, 7, 10, 12, 14, 16, 17, 17, 17, 15, 15, 14, 14, 12, 10, 7, 3, 1, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 2, 5, 7, 8, 7, 6, 3, 1, 0, 0, 0, 0, 0, 15, 49, 106, 185, 288, 395, 485, 540, 550, 512, 436, 343, 259, 206, 201, 243, 321, 414, 499, 552, 561, 520, 437, 326, 215, 123, 56, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 12, 19, 25, 29, 27, 21, 13, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 61, 137, 241, 368, 495, 592, 642, 638, 582, 489, 375, 259, 159, 86, 36, 9, 0, 0, 0, 0, 7, 28, 66, 120, 191, 271, 344, 401, 431, 430, 399, 347, 291, 248, 235, 262, 327, 416, 509, 583, 618, 603, 541, 448, 345, 258, 210, 211, 261, 348, 446, 528, 571, 561, 500, 405, 299, 210, 157, 153, 196, 280, 388, 500, 594, 649, 651, 600, 508, 398, 299, 236, 227, 272, 362, 471, 570, 630, 634, 577, 474, 352, 245, 188, 200, 285, 421, 577, 708, 781, 780, 710, 590, 450, 317, 207, 124, 69, 35, 15, 8, 10, 17, 20, 21, 19, 14, 7, 1, 2, 7, 12, 14, 15, 13, 10, 5, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 5, 10, 14, 17, 17, 15, 10, 5, 1, 0, 0, 0, 0, 3, 6, 9, 12, 14, 13, 12, 10, 9, 10, 13, 14, 13, 11, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 8, 22, 49, 96, 166, 257, 360, 462, 542, 584, 576, 520, 425, 310, 199, 111, 49, 13, 0, 0, 2, 7, 12, 14, 16, 14, 10, 6, 2, 0, 2, 5, 7, 6, 7, 5, 3, 0, 0, 0, 10, 52, 127, 233, 365, 504, 616, 678, 677, 617, 511, 390, 283, 218, 210, 259, 349, 451, 538, 587, 591, 551, 476, 382, 281, 185, 110, 56, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 57, 119, 199, 298, 393, 469, 512, 517, 483, 413, 319, 216, 132, 65, 21, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 12, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 20, 27, 29, 27, 20, 13, 6, 2, 0, 0, 3, 8, 12, 16, 18, 17, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 16, 19, 19, 16, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 15, 14, 10, 6, 3, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 21, 25, 25, 21, 15, 12, 14, 22, 33, 44, 52, 57, 57, 54, 48, 38, 27, 17, 8, 2, 1, 3, 5, 7, 6, 6, 4, 2, 0, 0, 3, 7, 11, 14, 16, 14, 11, 6, 2, 2, 8, 17, 26, 37, 46, 51, 52, 49, 45, 38, 29, 20, 13, 7, 2, 0, 5, 12, 20, 27, 35, 39, 38, 33, 24, 17, 10, 5, 6, 14, 21, 27, 30, 28, 22, 16, 12, 13, 19, 27, 35, 40, 41, 37, 29, 19, 11, 5, 2, 3, 6, 9, 14, 20, 27, 35, 45, 54, 58, 57, 50, 38, 25, 13, 4, 0, 1, 3, 3, 3, 3, 3, 1, 0, 0, 1, 1, 1, 2, 3, 4, 6, 9, 12, 14, 16, 17, 15, 12, 9, 7, 7, 13, 24, 35, 45, 48, 46, 37, 26, 15, 7, 2, 0, 0, 0, 3, 7, 11, 14, 14, 13, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 8, 13, 15, 16, 14, 11, 7, 5, 4, 6, 7, 7, 8, 9, 10, 10, 10, 9, 7, 4, 3, 2, 2, 2, 2, 0, 4, 10, 17, 21, 20, 18, 13, 6, 0, 0, 7, 39, 99, 189, 303, 429, 534, 597, 605, 557, 465, 348, 230, 134, 65, 25, 12, 19, 28, 35, 34, 30, 21, 11, 2, 0, 15, 78, 192, 360, 581, 834, 1065, 1235, 1308, 1269, 1119, 886, 613, 378, 190, 66, 3, 7, 19, 29, 34, 35, 32, 22, 10, 6, 12, 20, 29, 38, 41, 40, 37, 33, 30, 29, 28, 26, 23, 19, 16, 17, 20, 23, 23, 20, 15, 8, 6, 9, 13, 16, 18, 16, 11, 6, 2, 0, 0, 0, 0, 1, 2, 4, 7, 10, 13, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 14, 16, 14, 11, 6, 6, 10, 17, 22, 25, 23, 17, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 20, 37, 55, 70, 74, 65, 49, 31, 15, 3, 4, 10, 17, 20, 22, 19, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 16, 26, 34, 40, 37, 29, 20, 10, 3, 2, 8, 16, 23, 27, 27, 23, 16, 8, 2, 0, 0, 0, 0, 0, 0, 5, 43, 119, 230, 365, 508, 616, 664, 641, 558, 436, 302, 183, 96, 40, 10, 0, 0, 0, 1, 6, 13, 21, 30, 37, 40, 36, 28, 19, 11, 4, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 4, 2, 1, 2, 7, 13, 18, 21, 21, 17, 12, 9, 8, 8, 8, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 35, 87, 159, 248, 340, 413, 453, 453, 418, 358, 284, 212, 149, 100, 67, 46, 33, 25, 17, 12, 7, 3, 0, 0, 2, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 3, 4, 4, 4, 3, 3, 9, 19, 28, 36, 40, 38, 34, 30, 27, 26, 26, 23, 18, 12, 7, 4, 2, 1, 1, 1, 0, 0, 2, 9, 22, 43, 76, 120, 174, 236, 297, 348, 378, 378, 346, 285, 207, 133, 73, 29, 5, 0, 0, 0, 0, 0, 0, 1, 2, 6, 13, 20, 26, 29, 27, 21, 14, 7, 1, 0, 0, 0, 4, 19, 50, 105, 191, 305, 438, 574, 691, 768, 789, 750, 659, 534, 396, 265, 157, 82, 35, 9, 3, 12, 20, 26, 29, 27, 21, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 22, 27, 27, 24, 18, 13, 10, 9, 9, 8, 6, 3, 1, 0, 0, 0, 2, 7, 11, 13, 13, 12, 8, 5, 6, 11, 15, 16, 16, 12, 10, 8, 9, 11, 11, 11, 8, 4, 1, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 8, 8, 8, 6, 4, 1, 0, 0, 8, 39, 91, 163, 255, 353, 434, 485, 497, 470, 411, 331, 245, 165, 100, 54, 26, 12, 7, 7, 9, 9, 8, 7, 6, 6, 8, 9, 9, 9, 9, 8, 6, 4, 3, 1, 0, 0, 0, 0, 33, 113, 245, 428, 653, 868, 1029, 1101, 1068, 942, 751, 535, 333, 181, 79, 22, 0, 0, 0, 0, 0, 0, 1, 4, 8, 10, 12, 11, 8, 5, 2, 0, 2, 7, 13, 19, 27, 34, 38, 41, 41, 37, 32, 26, 21, 18, 16, 14, 12, 9, 5, 2, 2, 4, 6, 6, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 18, 21, 19, 16, 11, 4, 2, 7, 12, 10, 10, 10, 6, 0, 30, 95, 200, 339, 508, 662, 766, 798, 748, 635, 489, 356, 270, 251, 297, 386, 488, 572, 617, 614, 562, 473, 364, 251, 152, 79, 32, 8, 0, 1, 7, 13, 17, 19, 18, 14, 8, 3, 0, 1, 3, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 11, 12, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 13, 14, 15, 14, 11, 8, 6, 3, 1, 0, 0, 11, 73, 194, 372, 601, 855, 1071, 1207, 1239, 1161, 993, 772, 538, 331, 177, 74, 19, 0, 0, 0, 0, 0, 0, 7, 41, 115, 239, 420, 647, 882, 1082, 1205, 1222, 1129, 947, 715, 478, 280, 138, 52, 9, 0, 0, 5, 12, 17, 21, 23, 19, 14, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 8, 10, 11, 10, 7, 4, 1, 0, 2, 3, 6, 7, 9, 10, 12, 15, 21, 26, 29, 27, 22, 16, 9, 2, 2, 6, 11, 16, 21, 24, 24, 21, 16, 12, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 13, 14, 14, 12, 9, 5, 3, 1, 1, 5, 12, 18, 22, 22, 19, 14, 7, 3, 4, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 21, 58, 114, 190, 283, 373, 447, 494, 506, 478, 416, 330, 235, 147, 79, 33, 8, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 20, 29, 37, 44, 50, 52, 51, 46, 40, 34, 31, 30, 28, 23, 17, 11, 4, 0, 0, 0, 0, 0, 0, 3, 26, 72, 141, 229, 326, 407, 453, 455, 415, 345, 264, 187, 124, 76, 44, 24, 11, 3, 0, 2, 6, 11, 14, 18, 18, 16, 13, 12, 12, 14, 16, 18, 17, 13, 9, 5, 1, 1, 6, 16, 27, 38, 44, 43, 35, 24, 13, 3, 1, 3, 4, 7, 9, 10, 12, 14, 16, 18, 17, 14, 11, 6, 2, 0, 0, 2, 3, 3, 3, 3, 2, 1, 2, 8, 17, 27, 36, 45, 47, 43, 35, 25, 15, 8, 4, 7, 15, 23, 29, 30, 25, 19, 11, 4, 3, 7, 9, 8, 9, 7, 3, 5, 14, 24, 31, 37, 36, 31, 25, 23, 24, 28, 30, 28, 23, 16, 9, 8, 10, 14, 18, 21, 22, 24, 27, 31, 33, 31, 25, 18, 9, 3, 3, 6, 7, 7, 7, 5, 3, 4, 9, 12, 15, 18, 19, 22, 27, 34, 38, 37, 31, 23, 13, 4, 0, 0, 0, 0, 1, 2, 6, 9, 14, 17, 20, 21, 20, 17, 12, 8, 5, 1, 0, 0, 0, 0, 0, 0, 2, 8, 14, 19, 24, 24, 19, 14, 8, 2, 0, 0, 0, 0, 1, 4, 8, 12, 14, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 24, 68, 132, 216, 309, 388, 433, 439, 401, 330, 242, 155, 87, 39, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 33, 86, 167, 268, 372, 452, 488, 473, 413, 326, 233, 151, 88, 46, 21, 8, 2, 0, 0, 0, 4, 11, 19, 24, 28, 25, 19, 11, 4, 0, 0, 0, 0, 0, 0, 13, 50, 111, 189, 280, 363, 416, 431, 411, 362, 299, 231, 170, 120, 84, 59, 44, 34, 25, 18, 11, 4, 0, 0, 0, 3, 8, 14, 16, 16, 14, 10, 4, 0, 0, 14, 53, 119, 208, 320, 437, 535, 599, 620, 594, 528, 432, 323, 218, 131, 67, 28, 8, 1, 0, 0, 0, 1, 5, 10, 14, 16, 15, 12, 8, 2, 0, 0, 0, 0, 0, 11, 55, 135, 248, 387, 527, 633, 682, 666, 592, 482, 360, 246, 155, 92, 54, 33, 21, 15, 10, 5, 1, 0, 0, 0, 0, 1, 4, 7, 10, 12, 11, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 52, 125, 235, 375, 524, 645, 711, 704, 627, 497, 346, 210, 106, 40, 7, 0, 2, 6, 10, 14, 19, 21, 20, 17, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 34, 105, 212, 348, 509, 646, 733, 755, 712, 616, 489, 354, 230, 133, 67, 26, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 12, 15, 15, 13, 11, 11, 12, 14, 15, 15, 13, 8, 5, 2, 1, 1, 8, 19, 30, 39, 43, 39, 29, 18, 7, 2, 2, 4, 6, 9, 10, 10, 10, 9, 6, 4, 3, 1, 0, 2, 6, 11, 17, 25, 32, 37, 40, 40, 36, 31, 25, 19, 14, 11, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 10, 8, 4, 1, 0, 0, 0, 0, 0, 1, 3, 6, 11, 15, 17, 17, 14, 11, 7, 8, 13, 21, 29, 33, 31, 24, 17, 8, 2, 0, 0, 0, 0, 9, 48, 119, 219, 347, 489, 611, 690, 709, 663, 559, 417, 274, 155, 67, 15, 0, 6, 13, 19, 21, 21, 17, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 5, 3, 1, 0, 0, 0, 0, 5, 32, 84, 159, 250, 348, 425, 465, 463, 422, 354, 274, 195, 125, 72, 37, 15, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 14, 21, 27, 29, 25, 19, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 2, 0, 0, 0, 1, 0, 6, 38, 96, 177, 275, 380, 463, 507, 505, 461, 386, 293, 199, 119, 62, 25, 6, 8, 18, 28, 33, 37, 33, 26, 21, 19, 21, 24, 24, 21, 17, 13, 10, 8, 7, 6, 7, 11, 17, 20, 21, 18, 13, 7, 1, 0, 0, 0, 15, 47, 102, 185, 300, 428, 548, 638, 675, 651, 575, 471, 374, 314, 313, 366, 456, 552, 624, 649, 619, 541, 433, 317, 211, 127, 68, 33, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 6, 7, 9, 10, 12, 13, 14, 15, 14, 11, 9, 6, 2, 0, 0, 0, 6, 34, 91, 185, 319, 480, 637, 762, 828, 818, 735, 594, 425, 269, 147, 61, 12, 0, 0, 0, 3, 11, 21, 29, 34, 33, 28, 19, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 1, 2, 3, 5, 6, 4, 3, 3, 1, 0, 0, 21, 76, 168, 294, 449, 598, 704, 744, 706, 602, 456, 301, 172, 79, 24, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 4, 3, 1, 0, 0, 1, 2, 2, 2, 2, 4, 9, 17, 24, 30, 31, 27, 20, 12, 5, 1, 0, 0, 0, 0, 0, 0, 10, 58, 143, 265, 419, 587, 723, 800, 800, 722, 584, 415, 259, 136, 53, 9, 0, 1, 1, 1, 1, 1, 3, 5, 7, 7, 7, 6, 4, 1, 0, 1, 5, 9, 13, 16, 17, 14, 10, 5, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 6, 35, 84, 152, 232, 311, 365, 382, 363, 315, 253, 196, 161, 162, 204, 281, 375, 462, 515, 516, 465, 377, 281, 204, 168, 181, 239, 327, 427, 514, 566, 567, 517, 422, 305, 191, 102, 42, 10, 0, 0, 0, 0, 0, 0, 2, 25, 75, 155, 264, 394, 512, 593, 616, 577, 484, 362, 236, 133, 61, 20, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 55, 127, 233, 373, 520, 645, 719, 723, 655, 531, 378, 236, 124, 50, 10, 0, 0, 0, 1, 4, 6, 6, 6, 6, 4, 1, 0, 2, 3, 3, 3, 3, 2, 0, 19, 72, 156, 269, 410, 552, 664, 725, 724, 660, 548, 409, 268, 154, 73, 25, 3, 0, 0, 0, 0, 0, 3, 28, 79, 160, 268, 394, 507, 582, 601, 560, 469, 350, 227, 129, 59, 19, 1, 0, 0, 0, 0, 2, 4, 4, 4, 4, 3, 1, 0, 0, 1, 5, 11, 21, 33, 45, 54, 57, 54, 44, 31, 19, 9, 2, 0, 0, 0, 0, 0, 0, 4, 12, 20, 26, 27, 24, 18, 10, 2, 0, 0, 22, 78, 169, 290, 438, 584, 696, 754, 747, 681, 576, 462, 371, 330, 349, 422, 522, 617, 675, 675, 612, 499, 359, 226, 121, 49, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 24, 60, 116, 194, 291, 389, 470, 516, 514, 463, 373, 262, 161, 82, 30, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 2, 16, 48, 103, 184, 288, 398, 497, 566, 593, 571, 503, 400, 281, 178, 95, 36, 4, 0, 0, 0, 0, 0, 5, 12, 20, 25, 27, 25, 19, 11, 5, 1, 0, 0, 0, 8, 38, 96, 184, 302, 436, 559, 643, 671, 632, 535, 398, 260, 146, 63, 14, 0, 0, 0, 0, 0, 0, 2, 19, 51, 99, 163, 239, 308, 354, 366, 342, 287, 220, 162, 139, 162, 233, 337, 451, 550, 611, 621, 579, 493, 380, 257, 156, 78, 27, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 39, 95, 180, 289, 403, 498, 552, 554, 502, 410, 297, 189, 105, 46, 11, 0, 0, 0, 0, 0, 0, 1, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 19, 25, 28, 25, 19, 11, 4, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 10, 12, 13, 12, 10, 8, 6, 3, 2, 0, 0, 0, 0, 0, 1, 2, 6, 8, 8, 7, 6, 4, 0, 0, 10, 41, 93, 167, 261, 358, 436, 478, 472, 423, 343, 259, 193, 167, 187, 247, 328, 406, 458, 471, 441, 378, 297, 216, 145, 92, 55, 33, 22, 21, 24, 24, 22, 20, 15, 15, 60, 159, 309, 505, 733, 942, 1095, 1164, 1138, 1025, 848, 641, 436, 262, 138, 59, 17, 0, 2, 6, 8, 7, 8, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 7, 7, 6, 5, 6, 10, 17, 21, 22, 19, 15, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 10, 22, 37, 53, 64, 65, 57, 42, 27, 13, 3, 0, 0, 0, 0, 0, 4, 10, 16, 20, 21, 19, 14, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 27, 64, 120, 194, 281, 366, 437, 481, 488, 455, 387, 296, 198, 117, 57, 18, 0, 0, 2, 7, 10, 11, 11, 10, 6, 2, 0, 0, 0, 2, 6, 6, 6, 7, 5, 14, 47, 106, 188, 287, 382, 451, 475, 448, 377, 276, 179, 97, 39, 6, 0, 6, 12, 15, 14, 15, 11, 5, 7, 34, 84, 161, 268, 391, 509, 603, 654, 651, 592, 490, 362, 236, 134, 60, 16, 0, 1, 4, 7, 7, 7, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 6, 6, 4, 2, 0, 0, 4, 9, 13, 17, 19, 19, 16, 13, 11, 9, 7, 6, 4, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 3, 30, 86, 175, 290, 419, 530, 602, 620, 587, 513, 419, 321, 232, 161, 107, 70, 46, 29, 18, 11, 5, 1, 0, 0, 11, 57, 140, 260, 413, 583, 729, 824, 852, 808, 704, 564, 413, 273, 160, 84, 37, 10, 0, 0, 0, 2, 17, 44, 84, 136, 202, 270, 335, 387, 414, 407, 363, 288, 199, 119, 56, 15, 0, 0, 0, 0, 2, 6, 11, 13, 15, 13, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 5, 4, 5, 4, 5, 10, 16, 20, 22, 20, 15, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 37, 83, 150, 233, 323, 397, 441, 445, 410, 350, 285, 238, 228, 261, 329, 415, 500, 562, 589, 574, 520, 434, 331, 225, 136, 70, 27, 5, 0, 0, 0, 0, 0, 0, 1, 21, 67, 152, 284, 464, 665, 857, 1001, 1069, 1047, 943, 784, 606, 450, 344, 303, 326, 395, 482, 557, 592, 575, 507, 404, 292, 192, 115, 64, 33, 19, 10, 4, 5, 13, 20, 22, 22, 19, 13, 4, 0, 4, 7, 9, 10, 12, 17, 35, 70, 127, 202, 283, 357, 408, 428, 416, 377, 322, 262, 204, 153, 109, 72, 44, 23, 9, 2, 0, 0, 1, 3, 7, 9, 9, 9, 7, 3, 1, 2, 4, 4, 4, 4, 2, 2, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 3, 8, 15, 21, 25, 24, 20, 14, 7, 2, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 9, 12, 18, 26, 32, 35, 31, 24, 16, 7, 2, 0, 10, 43, 98, 180, 285, 402, 508, 590, 633, 631, 589, 518, 435, 360, 310, 292, 307, 344, 389, 425, 436, 417, 369, 300, 224, 155, 103, 68, 48, 36, 28, 20, 13, 7, 6, 9, 16, 23, 29, 30, 27, 20, 13, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 7, 7, 5, 3, 3, 5, 7, 6, 7, 6, 3, 0, 6, 30, 75, 146, 249, 384, 533, 679, 802, 875, 886, 830, 718, 573, 419, 276, 162, 85, 36, 9, 0, 4, 16, 30, 45, 58, 64, 59, 46, 31, 17, 9, 7, 11, 14, 16, 14, 11, 7, 2, 1, 5, 8, 11, 12, 12, 9, 5, 1, 1, 3, 5, 5, 5, 4, 2, 0, 0, 1, 2, 3, 3, 2, 2, 2, 3, 5, 5, 5, 3, 2, 1, 5, 11, 20, 31, 42, 47, 46, 39, 28, 17, 8, 2, 0, 0, 0, 4, 11, 19, 25, 30, 28, 23, 15, 7, 2, 0, 0, 0, 4, 13, 23, 32, 38, 36, 29, 20, 9, 2, 10, 38, 93, 186, 322, 486, 656, 801, 888, 899, 835, 711, 554, 395, 255, 147, 75, 32, 8, 0, 0, 0, 0, 0, 2, 5, 6, 6, 7, 5, 2, 0, 2, 3, 2, 2, 2, 3, 7, 13, 19, 22, 21, 17, 11, 5, 1, 0, 3, 8, 13, 16, 18, 16, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 5, 11, 17, 22, 23, 20, 15, 8, 3, 4, 9, 11, 10, 11, 9, 4, 4, 16, 33, 56, 92, 141, 203, 275, 348, 409, 444, 443, 407, 344, 268, 194, 130, 81, 46, 24, 11, 5, 3, 3, 4, 7, 20, 51, 113, 212, 347, 507, 673, 823, 934, 990, 982, 911, 785, 623, 449, 285, 159, 71, 20, 0, 4, 9, 15, 25, 44, 72, 112, 166, 228, 292, 345, 377, 382, 358, 309, 244, 176, 115, 70, 40, 25, 16, 12, 9, 5, 3, 7, 14, 20, 24, 26, 21, 15, 8, 3, 1, 8, 19, 29, 35, 38, 33, 24, 15, 12, 12, 13, 13, 12, 8, 3, 5, 9, 12, 13, 12, 10, 5, 2, 1, 7, 14, 22, 30, 36, 36, 34, 30, 27, 24, 22, 17, 13, 9, 4, 4, 15, 30, 46, 58, 63, 55, 42, 25, 11, 7, 14, 22, 28, 31, 27, 20, 11, 3, 0, 0, 0, 0, 0, 0, 0, 1, 9, 21, 36, 50, 59, 60, 52, 39, 24, 13, 5, 1, 0, 3, 9, 13, 14, 15, 13, 8, 3, 0, 7, 25, 57, 104, 169, 248, 330, 407, 466, 495, 487, 443, 371, 285, 198, 123, 68, 33, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 14, 26, 38, 46, 47, 39, 29, 16, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 19, 24, 26, 22, 17, 10, 4, 1, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 1, 5, 8, 11, 12, 11, 9, 5, 3, 1, 1, 1, 1, 1, 5, 12, 20, 26, 30, 28, 22, 14, 7, 2, 0, 0, 0, 0, 0, 2, 8, 15, 22, 26, 26, 22, 15, 7, 2, 0, 0, 0, 1, 4, 7, 11, 14, 17, 18, 20, 21, 20, 15, 13, 8, 3, 15, 60, 144, 272, 441, 627, 800, 929, 996, 991, 918, 791, 630, 460, 302, 175, 88, 41, 26, 26, 32, 33, 27, 19, 10, 4, 1, 5, 12, 17, 21, 21, 18, 12, 6, 1, 0, 0, 1, 7, 15, 24, 33, 42, 48, 52, 59, 71, 90, 116, 149, 184, 221, 256, 288, 311, 322, 316, 291, 248, 194, 137, 86, 48, 24, 10, 5, 3, 1, 0, 0, 2, 5, 9, 10, 10, 9, 6, 3, 7, 16, 27, 37, 43, 40, 32, 22, 11, 5, 4, 6, 5, 6, 4, 2, 1, 4, 7, 10, 12, 11, 9, 6, 2, 0, 0, 2, 6, 11, 15, 16, 15, 12, 7, 2, 0, 0, 0, 2, 7, 18, 41, 82, 142, 218, 304, 385, 449, 485, 488, 457, 394, 309, 213, 133, 68, 23, 0, 0, 0, 0, 0, 3, 13, 30, 58, 102, 162, 236, 315, 388, 436, 450, 424, 367, 294, 222, 164, 122, 96, 76, 57, 39, 24, 13, 9, 10, 11, 10, 9, 6, 2, 2, 9, 18, 26, 32, 32, 27, 19, 10, 12, 37, 83, 144, 218, 293, 354, 394, 408, 396, 359, 304, 237, 168, 105, 57, 25, 7, 0, 3, 8, 15, 20, 24, 23, 19, 13, 6, 2, 1, 3, 7, 10, 11, 10, 9, 5, 2, 0, 3, 10, 18, 24, 27, 25, 20, 12, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 12, 16, 19, 18, 15, 10, 4, 0, 0, 1, 2, 4, 5, 6, 7, 8, 10, 14, 16, 17, 14, 11, 6, 2, 0, 0, 0, 4, 13, 25, 36, 44, 44, 36, 26, 13, 6, 8, 16, 23, 27, 27, 22, 15, 7, 1, 0, 0, 3, 10, 16, 22, 23, 22, 16, 10, 4, 5, 8, 10, 10, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 16, 43, 87, 147, 224, 310, 400, 491, 576, 650, 700, 716, 691, 628, 541, 450, 380, 346, 353, 390, 438, 475, 486, 466, 415, 344, 262, 180, 111, 59, 24, 4, 3, 10, 17, 22, 24, 24, 18, 11, 5, 3, 3, 5, 9, 14, 18, 23, 27, 30, 30, 29, 29, 31, 35, 40, 43, 42, 34, 25, 15, 6, 2, 7, 15, 23, 31, 34, 31, 24, 16, 8, 2, 0, 0, 0, 0, 0, 1, 6, 15, 25, 33, 37, 33, 26, 16, 6, 1, 4, 9, 13, 18, 21, 20, 17, 13, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 12, 13, 13, 12, 8, 2, 0, 12, 39, 82, 143, 231, 340, 466, 599, 725, 822, 873, 864, 795, 678, 533, 384, 250, 145, 73, 30, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 6, 14, 22, 28, 31, 27, 20, 11, 4, 1, 3, 5, 4, 4, 4, 2, 0, 0, 3, 10, 23, 46, 85, 139, 208, 290, 373, 447, 497, 515, 499, 456, 395, 329, 264, 205, 149, 100, 62, 31, 9, 0, 9, 23, 37, 46, 51, 44, 33, 19, 6, 3, 9, 13, 15, 20, 29, 51, 93, 157, 241, 332, 416, 479, 508, 500, 459, 391, 308, 223, 145, 85, 42, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 19, 27, 35, 38, 34, 26, 18, 10, 3, 2, 5, 8, 9, 9, 8, 5, 2, 0, 3, 7, 13, 19, 24, 25, 23, 17, 11, 5, 1, 4, 9, 14, 19, 21, 18, 14, 8, 3, 1, 4, 7, 8, 9, 11, 13, 19, 27, 34, 37, 34, 27, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 23, 42, 69, 105, 148, 198, 253, 307, 352, 379, 382, 362, 321, 269, 214, 164, 123, 91, 69, 54, 46, 42, 40, 36, 29, 21, 13, 7, 7, 13, 20, 25, 25, 22, 16, 8, 4, 7, 16, 26, 36, 43, 42, 34, 25, 15, 6, 0, 0, 0, 1, 14, 41, 86, 155, 248, 354, 461, 555, 617, 638, 613, 550, 468, 390, 338, 327, 357, 418, 490, 552, 587, 588, 553, 489, 408, 320, 237, 166, 111, 75, 53, 41, 33, 25, 18, 10, 3, 4, 12, 20, 24, 25, 23, 16, 8, 2, 10, 23, 35, 43, 46, 39, 29, 15, 5, 4, 9, 14, 15, 15, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 19, 35, 52, 67, 70, 61, 46, 29, 13, 6, 17, 37, 56, 70, 76, 66, 49, 29, 12, 4, 5, 6, 8, 11, 12, 13, 15, 16, 17, 17, 16, 14, 11, 9, 5, 2, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 24, 64, 117, 179, 245, 295, 326, 338, 339, 332, 320, 296, 257, 201, 141, 86, 41, 10, 4, 11, 15, 14, 15, 13, 7, 1, 1, 4, 9, 15, 19, 22, 21, 19, 16, 15, 15, 18, 21, 23, 21, 19, 16, 13, 10, 8, 6, 4, 2, 0, 2, 4, 4, 4, 4, 3, 1, 2, 5, 7, 8, 8, 7, 5, 2, 0, 0, 0, 0, 0, 0, 2, 9, 18, 26, 33, 35, 29, 21, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 14, 23, 30, 34, 31, 24, 16, 7, 2, 0, 0, 0, 0, 0, 6, 22, 47, 78, 113, 150, 184, 217, 252, 284, 308, 316, 305, 273, 226, 174, 123, 78, 46, 25, 16, 21, 36, 53, 67, 72, 66, 52, 35, 19, 10, 7, 10, 14, 17, 17, 14, 11, 14, 32, 69, 128, 203, 284, 354, 402, 421, 413, 382, 335, 280, 221, 163, 108, 64, 32, 12, 2, 0, 0, 0, 0, 4, 11, 17, 22, 25, 24, 21, 17, 15, 13, 12, 9, 7, 4, 1, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 3, 2, 7, 17, 28, 35, 38, 34, 26, 15, 5, 0, 0, 0, 0, 0, 0, 0, 4, 11, 19, 27, 35, 37, 33, 25, 17, 9, 2, 0, 0, 0, 0, 3, 19, 49, 96, 157, 233, 316, 404, 496, 583, 656, 701, 705, 664, 586, 485, 380, 286, 210, 150, 104, 66, 38, 19, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 21, 40, 62, 89, 119, 155, 200, 257, 322, 385, 431, 447, 426, 369, 287, 195, 118, 58, 20, 11, 26, 43, 59, 73, 74, 63, 46, 29, 14, 4, 0, 0, 0, 0, 1, 6, 15, 25, 33, 39, 37, 29, 19, 10, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 10, 9, 7, 5, 6, 12, 18, 23, 23, 20, 14, 7, 1, 0, 2, 7, 15, 30, 56, 96, 149, 214, 280, 333, 364, 365, 340, 299, 254, 219, 205, 216, 249, 298, 349, 392, 414, 417, 399, 366, 323, 273, 219, 165, 113, 71, 46, 39, 44, 56, 66, 67, 58, 43, 28, 13, 4, 8, 16, 23, 26, 25, 21, 13, 7, 7, 12, 15, 16, 15, 11, 6, 3, 7, 12, 17, 22, 24, 22, 16, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 10, 12, 13, 13, 12, 9, 7, 4, 2, 0, 0, 2, 5, 7, 11, 15, 17, 17, 15, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 3, 6, 7, 7, 6, 5, 2, 6, 17, 27, 33, 36, 32, 24, 13, 5, 4, 6, 5, 6, 5, 7, 11, 16, 18, 19, 17, 14, 15, 22, 32, 40, 41, 36, 28, 19, 15, 14, 15, 14, 13, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 12, 13, 12, 9, 5, 1, 0, 0, 2, 13, 36, 76, 136, 214, 303, 394, 475, 538, 575, 584, 567, 525, 467, 397, 321, 246, 178, 124, 86, 65, 57, 54, 49, 41, 30, 19, 12, 12, 15, 18, 18, 15, 10, 5, 1, 0, 0, 1, 3, 7, 11, 16, 19, 19, 16, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 8, 10, 10, 10, 9, 12, 15, 20, 23, 23, 20, 14, 9, 5, 2, 1, 5, 8, 10, 10, 10, 7, 3, 0, 3, 8, 15, 22, 28, 29, 24, 19, 12, 9, 13, 21, 26, 28, 26, 19, 11, 3, 0, 3, 6, 7, 8, 12, 20, 37, 66, 104, 148, 192, 230, 255, 268, 266, 253, 231, 204, 175, 147, 119, 93, 67, 44, 25, 12, 3, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 4, 26, 64, 117, 179, 244, 293, 320, 321, 302, 266, 220, 169, 119, 75, 42, 18, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 16, 21, 23, 20, 15, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 29, 50, 80, 116, 158, 202, 244, 278, 297, 300, 286, 261, 230, 197, 164, 132, 99, 67, 41, 21, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 13, 34, 63, 102, 148, 192, 230, 258, 274, 276, 266, 244, 213, 176, 136, 98, 63, 37, 18, 7, 1, 0, 0, 9, 35, 78, 139, 219, 311, 407, 502, 593, 671, 727, 749, 728, 665, 569, 455, 341, 242, 163, 104, 65, 40, 27, 24, 26, 29, 28, 24, 17, 9, 2, 0, 0, 0, 0, 1, 5, 12, 19, 25, 28, 26, 20, 13, 6, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 4, 19, 43, 77, 124, 182, 245, 310, 373, 429, 477, 512, 531, 532, 515, 485, 451, 422, 405, 403, 410, 417, 416, 403, 376, 340, 297, 248, 194, 136, 87, 47, 17, 4, 10, 18, 23, 26, 25, 19, 11, 4, 0, 1, 3, 4, 4, 4, 4, 2, 0, 0, 1, 10, 23, 38, 50, 56, 51, 40, 26, 12, 2, 2, 8, 16, 21, 24, 23, 19, 12, 10, 11, 16, 18, 18, 15, 10, 4, 0, 0, 0, 0, 1, 6, 11, 14, 16, 15, 12, 7, 4, 3, 4, 4, 5, 3, 2, 2, 1, 1, 1, 1, 0, 0, 3, 10, 18, 29, 45, 66, 93, 126, 164, 203, 237, 261, 270, 265, 247, 220, 188, 156, 126, 102, 81, 62, 43, 29, 17, 6, 6, 16, 26, 31, 33, 30, 21, 11, 6, 9, 17, 22, 27, 27, 22, 15, 8, 3, 0, 0, 1, 5, 10, 15, 18, 19, 16, 11, 6, 3, 7, 16, 24, 29, 30, 26, 18, 10, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 5, 12, 19, 24, 28, 30, 30, 31, 35, 39, 40, 38, 30, 21, 12, 8, 9, 14, 17, 19, 16, 12, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 4, 6, 11, 18, 26, 35, 38, 36, 30, 21, 13, 6, 1, 1, 3, 3, 3, 3, 2, 3, 12, 27, 43, 59, 69, 68, 57, 42, 28, 21, 21, 26, 32, 35, 31, 23, 15, 7, 1, 0, 0, 0, 0, 6, 20, 37, 55, 71, 77, 68, 52, 34, 17, 4, 2, 10, 21, 32, 41, 46, 44, 36, 26, 17, 10, 7, 11, 21, 39, 66, 100, 139, 180, 223, 264, 300, 329, 346, 346, 329, 295, 250, 198, 146, 97, 59, 31, 15, 12, 18, 28, 34, 37, 33, 27, 21, 19, 20, 22, 22, 21, 20, 22, 26, 30, 31, 30, 28, 31, 39, 52, 64, 68, 62, 48, 32, 18, 11, 10, 13, 17, 21, 24, 27, 27, 24, 19, 13, 6, 1, 0, 0, 0, 1, 7, 17, 26, 33, 36, 33, 25, 17, 12, 13, 17, 21, 21, 18, 12, 7, 9, 20, 32, 40, 44, 39, 29, 19, 12, 10, 11, 11, 10, 7, 2, 3, 8, 13, 16, 17, 15, 11, 6, 1, 1, 3, 4, 4, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 12, 15, 16, 17, 18, 18, 17, 14, 11, 7, 9, 14, 23, 28, 30, 26, 19, 11, 6, 7, 11, 13, 14, 12, 8, 5, 1, 0, 6, 15, 24, 32, 37, 34, 26, 17, 8, 2, 0, 0, 5, 14, 24, 32, 37, 33, 26, 17, 7, 0, 0, 2, 10, 22, 39, 62, 88, 117, 148, 182, 218, 253, 283, 301, 306, 296, 271, 234, 189, 140, 93, 56, 27, 11, 7, 13, 23, 39, 55, 69, 76, 72, 58, 42, 24, 10, 13, 30, 54, 85, 126, 171, 221, 277, 335, 391, 444, 487, 519, 534, 529, 501, 455, 394, 329, 267, 212, 164, 121, 83, 52, 26, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 15, 20, 25, 27, 27, 26, 24, 26, 35, 52, 77, 109, 144, 179, 210, 237, 258, 271, 274, 265, 243, 209, 163, 112, 70, 36, 12, 4, 12, 22, 30, 34, 31, 25, 16, 7, 8, 19, 30, 36, 40, 34, 25, 14, 4, 0, 0, 0, 0, 3, 10, 16, 19, 20, 20, 19, 24, 37, 60, 92, 133, 180, 229, 271, 301, 307, 290, 252, 206, 160, 120, 87, 59, 40, 22, 8, 2, 8, 11, 13, 13, 12, 7, 2, 0, 0, 2, 10, 20, 28, 35, 38, 36, 33, 31, 30, 31, 30, 25, 19, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 2, 5, 12, 26, 49, 81, 121, 167, 218, 269, 319, 362, 390, 401, 392, 363, 318, 261, 197, 132, 81, 41, 14, 0, 0, 3, 9, 14, 19, 24, 26, 25, 22, 18, 14, 10, 5, 2, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 3, 6, 14, 21, 24, 26, 24, 20, 18, 19, 20, 19, 17, 12, 6, 1, 0, 1, 4, 8, 13, 15, 14, 12, 9, 7, 23, 61, 118, 191, 270, 341, 392, 423, 433, 428, 410, 381, 340, 290, 233, 176, 124, 80, 47, 26, 11, 2, 0, 0, 2, 3, 3, 3, 3, 2, 0, 0, 0, 1, 6, 15, 24, 33, 39, 40, 34, 24, 15, 7, 2, 3, 18, 44, 80, 127, 183, 241, 294, 340, 373, 391, 393, 380, 357, 332, 313, 304, 305, 315, 326, 332, 331, 322, 309, 298, 292, 290, 290, 290, 291, 294, 300, 308, 314, 310, 292, 258, 213, 165, 121, 84, 57, 36, 22, 12, 4, 0, 0, 0, 0, 0, 3, 10, 18, 28, 36, 39, 35, 27, 17, 9, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 4, 12, 24, 37, 51, 58, 54, 43, 31, 17, 12, 27, 62, 104, 154, 203, 242, 268, 280, 283, 281, 277, 271, 264, 253, 235, 208, 171, 128, 85, 49, 23, 12, 14, 31, 55, 87, 124, 160, 195, 226, 250, 263, 264, 253, 232, 203, 170, 137, 103, 71, 45, 24, 10, 5, 8, 13, 20, 27, 32, 33, 29, 23, 15, 7, 2, 0, 0, 0, 2, 7, 13, 19, 24, 25, 21, 15, 9, 3, 0, 1, 5, 10, 18, 26, 32, 34, 30, 23, 15, 8, 2, 0, 0, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 1, 3, 5, 7, 8, 9, 7, 5, 3, 2, 0, 0, 0, 0, 0, 0, 2, 7, 13, 17, 18, 16, 13, 7, 2, 6, 22, 46, 79, 120, 165, 208, 243, 268, 283, 285, 278, 264, 245, 222, 196, 164, 128, 89, 57, 30, 11, 3, 7, 12, 13, 13, 12, 8, 7, 12, 22, 28, 31, 28, 22, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 9, 11, 22, 41, 70, 103, 134, 156, 171, 177, 179, 179, 178, 173, 158, 132, 98, 64, 34, 17, 13, 22, 37, 56, 75, 92, 110, 131, 158, 195, 242, 296, 350, 400, 440, 468, 482, 479, 459, 425, 383, 341, 311, 295, 293, 299, 305, 302, 290, 268, 242, 220, 207, 207, 221, 243, 267, 282, 282, 265, 233, 198, 168, 148, 138, 134, 128, 117, 98, 75, 51, 31, 16, 7, 2, 2, 4, 3, 3, 3, 1, 1, 11, 25, 41, 54, 61, 54, 42, 26, 11, 1, 4, 10, 16, 20, 21, 19, 14, 8, 2, 0, 0, 1, 5, 11, 16, 19, 19, 17, 12, 6, 1, 2, 3, 5, 4, 5, 3, 1, 1, 5, 9, 12, 13, 12, 10, 6, 4, 12, 28, 47, 69, 91, 110, 125, 138, 151, 166, 181, 194, 199, 195, 180, 156, 130, 108, 94, 88, 86, 83, 72, 54, 36, 19, 6, 0, 0, 0, 0, 2, 10, 22, 36, 47, 51, 45, 35, 21, 8, 2, 7, 13, 15, 14, 14, 10, 9, 21, 45, 75, 108, 140, 165, 183, 195, 204, 209, 208, 201, 187, 169, 148, 125, 100, 73, 49, 29, 13, 2, 0, 6, 17, 28, 38, 44, 42, 32, 23, 17, 18, 24, 32, 35, 31, 24, 15, 6, 0, 0, 0, 0, 0, 8, 31, 62, 97, 135, 166, 187, 196, 200, 201, 201, 199, 197, 192, 183, 169, 148, 118, 85, 55, 34, 26, 27, 33, 39, 42, 44, 45, 49, 52, 54, 47, 37, 25, 13, 3, 11, 32, 58, 88, 125, 162, 202, 249, 304, 362, 415, 453, 470, 462, 432, 383, 319, 250, 181, 121, 77, 51, 39, 38, 40, 40, 39, 38, 39, 41, 42, 40, 34, 25, 15, 7, 4, 6, 8, 8, 8, 6, 4, 1, 0, 0, 0, 1, 2, 5, 6, 7, 6, 5, 2, 2, 2, 3, 5, 7, 10, 15, 21, 27, 30, 30, 25, 18, 11, 4, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 20, 25, 27, 23, 17, 10, 3, 2, 4, 5, 5, 5, 3, 4, 9, 18, 25, 29, 28, 23, 15, 7, 1, 0, 2, 6, 9, 9, 9, 8, 7, 16, 33, 53, 67, 73, 66, 50, 30, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 15, 23, 30, 32, 27, 20, 12, 4, 0, 1, 3, 7, 12, 25, 51, 93, 152, 225, 300, 368, 418, 441, 436, 406, 354, 289, 222, 162, 113, 79, 59, 48, 43, 43, 47, 54, 61, 64, 57, 45, 31, 16, 4, 0, 1, 7, 13, 19, 22, 23, 18, 13, 6, 1, 0, 0, 0, 0, 1, 8, 22, 38, 52, 65, 68, 63, 51, 36, 22, 12, 6, 2, 0, 0, 1, 3, 5, 4, 4, 4, 2, 11, 34, 63, 91, 117, 130, 132, 131, 137, 154, 176, 194, 199, 188, 164, 134, 107, 87, 72, 61, 49, 40, 37, 45, 64, 89, 112, 130, 137, 135, 130, 126, 127, 132, 139, 142, 137, 124, 103, 78, 55, 38, 29, 30, 37, 45, 50, 50, 44, 32, 21, 12, 4, 0, 9, 23, 37, 45, 50, 46, 37, 34, 42, 66, 102, 142, 180, 204, 212, 201, 176, 143, 112, 88, 76, 74, 78, 82, 80, 72, 58, 42, 26, 14, 6, 1, 0, 0, 0, 0, 0, 5, 13, 23, 34, 49, 66, 89, 118, 154, 196, 240, 280, 313, 336, 348, 348, 336, 314, 285, 250, 215, 180, 147, 114, 81, 53, 32, 15, 3, 8, 23, 37, 45, 49, 45, 33, 18, 8, 6, 13, 23, 42, 64, 89, 111, 131, 147, 161, 181, 206, 231, 247, 246, 221, 176, 122, 73, 36, 19, 18, 26, 36, 42, 41, 33, 24, 14, 6, 1, 6, 17, 28, 35, 40, 35, 27, 15, 6, 1, 7, 18, 29, 37, 42, 40, 31, 20, 13, 12, 18, 36, 63, 98, 137, 174, 202, 214, 209, 191, 165, 137, 113, 91, 70, 50, 33, 18, 11, 12, 19, 25, 28, 26, 20, 13, 11, 14, 21, 27, 29, 26, 20, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 14, 19, 23, 23, 18, 13, 8, 3, 0, 5, 23, 50, 82, 120, 163, 206, 252, 302, 351, 389, 409, 403, 374, 331, 284, 241, 207, 181, 161, 145, 131, 118, 104, 85, 63, 43, 25, 10, 1, 1, 2, 4, 3, 4, 3, 2, 0, 0, 0, 0, 0, 3, 8, 15, 22, 30, 33, 32, 26, 19, 12, 6, 2, 0, 0, 0, 0, 0, 1, 7, 14, 22, 31, 37, 39, 36, 33, 29, 28, 29, 33, 37, 39, 37, 32, 25, 19, 18, 22, 27, 30, 28, 23, 16, 7, 1, 0, 1, 2, 4, 6, 9, 10, 10, 9, 8, 8, 12, 20, 31, 39, 42, 37, 30, 19, 8, 9, 20, 33, 44, 52, 50, 39, 27, 14, 4, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 0, 1, 6, 13, 18, 22, 24, 20, 14, 8, 3, 0, 0, 0, 1, 12, 31, 55, 82, 112, 135, 151, 161, 168, 172, 172, 167, 155, 142, 131, 128, 133, 139, 138, 122, 95, 66, 35, 21, 36, 70, 102, 132, 151, 150, 136, 118, 102, 92, 92, 98, 108, 120, 128, 129, 122, 113, 103, 100, 101, 104, 101, 91, 75, 62, 57, 64, 79, 97, 113, 126, 137, 148, 158, 163, 160, 146, 122, 94, 69, 49, 37, 32, 32, 34, 37, 37, 33, 26, 18, 10, 3, 0, 0, 0, 0, 0, 0, 0, 1, 7, 17, 27, 35, 39, 35, 27, 17, 8, 1, 2, 5, 8, 10, 11, 10, 7, 3, 1, 0, 0, 0, 0, 0, 1, 5, 10, 14, 18, 18, 15, 11, 6, 1, 0, 0, 0, 1, 8, 22, 37, 50, 58, 57, 50, 44, 45, 56, 75, 96, 113, 126, 138, 152, 174, 200, 225, 243, 250, 246, 234, 219, 203, 185, 163, 138, 107, 76, 49, 31, 25, 31, 43, 54, 58, 52, 40, 26, 12, 4, 4, 8, 9, 9, 9, 6, 3, 0, 0, 0, 0, 0, 1, 6, 12, 17, 22, 25, 25, 25, 24, 23, 22, 22, 21, 22, 23, 25, 25, 23, 19, 14, 13, 16, 22, 28, 29, 25, 19, 11, 4, 0, 0, 0, 0, 0, 4, 21, 48, 80, 109, 128, 126, 107, 81, 60, 55, 66, 91, 120, 149, 173, 192, 209, 222, 231, 234, 233, 228, 222, 216, 209, 203, 198, 194, 192, 192, 188, 178, 157, 126, 88, 56, 28, 9, 0, 0, 0, 0, 0, 0, 0, 1, 9, 22, 38, 52, 61, 58, 47, 32, 16, 4, 2, 9, 18, 25, 30, 30, 24, 17, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 18, 22, 22, 18, 13, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 35, 50, 61, 59, 49, 35, 17, 4, 14, 37, 65, 93, 126, 150, 164, 171, 173, 172, 170, 167, 165, 166, 168, 170, 165, 154, 136, 113, 89, 68, 49, 33, 21, 14, 15, 26, 45, 66, 85, 98, 107, 114, 124, 137, 148, 152, 143, 119, 87, 58, 36, 26, 24, 26, 24, 20, 13, 6, 1, 0, 0, 1, 5, 11, 17, 23, 25, 23, 18, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 12, 15, 17, 14, 12, 14, 24, 43, 71, 101, 125, 138, 140, 130, 113, 94, 77, 63, 53, 46, 40, 35, 32, 33, 37, 45, 50, 51, 44, 34, 22, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 15, 21, 26, 28, 29, 31, 40, 58, 79, 100, 112, 117, 116, 119, 132, 159, 196, 235, 266, 282, 279, 262, 236, 212, 195, 191, 198, 213, 225, 229, 221, 203, 178, 154, 133, 118, 103, 87, 69, 50, 34, 26, 25, 30, 36, 37, 31, 24, 14, 5, 0, 3, 10, 17, 21, 25, 26, 29, 34, 46, 62, 80, 95, 106, 113, 115, 113, 106, 95, 81, 67, 57, 48, 42, 34, 26, 18, 13, 13, 17, 20, 20, 18, 12, 5, 2, 10, 22, 39, 59, 82, 101, 113, 121, 124, 127, 136, 153, 176, 199, 213, 211, 196, 170, 143, 119, 100, 80, 59, 41, 23, 9, 12, 26, 41, 55, 70, 78, 84, 89, 95, 105, 116, 127, 135, 139, 135, 121, 100, 74, 48, 26, 11, 3, 4, 11, 22, 35, 48, 53, 49, 39, 27, 13, 6, 11, 19, 24, 26, 26, 28, 39, 64, 101, 139, 172, 190, 197, 199, 205, 217, 233, 246, 249, 243, 232, 226, 230, 241, 253, 257, 247, 222, 188, 151, 120, 95, 80, 71, 64, 58, 50, 39, 27, 17, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 3, 6, 12, 17, 20, 19, 16, 10, 5, 1, 0, 0, 0, 0, 0, 3, 13, 30, 50, 74, 96, 110, 116, 117, 114, 111, 109, 110, 112, 113, 114, 112, 109, 102, 92, 79, 63, 46, 31, 19, 10, 5, 3, 1, 3, 13, 28, 43, 56, 60, 53, 41, 25, 10, 1, 1, 5, 10, 13, 16, 18, 20, 22, 27, 33, 39, 41, 40, 38, 40, 48, 64, 88, 113, 136, 152, 159, 157, 147, 131, 113, 94, 76, 61, 50, 41, 34, 28, 21, 14, 9, 4, 1, 0, 0, 6, 17, 30, 43, 54, 58, 54, 46, 41, 41, 48, 64, 88, 118, 151, 188, 224, 255, 278, 290, 286, 269, 241, 207, 173, 145, 124, 109, 100, 91, 78, 62, 43, 26, 13, 3, 0, 2, 10, 19, 28, 38, 47, 54, 62, 71, 78, 81, 74, 58, 42, 23, 8, 2, 8, 14, 18, 20, 19, 14, 8, 2, 0, 1, 8, 19, 35, 59, 91, 126, 159, 183, 195, 192, 178, 163, 155, 161, 175, 191, 196, 187, 159, 123, 87, 61, 50, 53, 64, 76, 82, 78, 64, 45, 28, 17, 12, 13, 14, 14, 12, 10, 10, 12, 14, 14, 12, 9, 4, 3, 8, 14, 18, 20, 18, 14, 8, 3, 0, 0, 1, 4, 9, 16, 22, 28, 31, 31, 26, 21, 14, 9, 3, 1, 0, 6, 15, 24, 30, 34, 29, 22, 13, 5, 1, 7, 15, 22, 27, 28, 24, 17, 10, 4, 2, 2, 2, 2, 2, 1, 0, 0, 0, 4, 14, 26, 36, 43, 42, 34, 25, 21, 24, 32, 41, 43, 38, 29, 17, 6, 0, 2, 9, 19, 31, 40, 44, 39, 31, 19, 13, 19, 35, 52, 64, 68, 60, 44, 27, 18, 19, 29, 41, 50, 50, 43, 31, 19, 8, 2, 0, 0, 0, 0, 0, 3, 8, 12, 15, 15, 13, 9, 10, 16, 27, 42, 57, 67, 69, 63, 49, 34, 21, 10, 10, 24, 43, 60, 75, 82, 83, 86, 96, 113, 135, 154, 165, 166, 162, 158, 155, 153, 146, 133, 111, 85, 62, 47, 43, 46, 53, 57, 51, 40, 28, 15, 5, 5, 10, 11, 10, 10, 8, 4, 8, 16, 22, 25, 23, 19, 12, 4, 2, 10, 19, 30, 39, 43, 39, 31, 21, 10, 3, 0, 6, 14, 23, 28, 31, 27, 20, 11, 5, 5, 8, 8, 8, 8, 5, 6, 18, 37, 55, 70, 75, 66, 50, 31, 14, 3, 0, 0, 3, 7, 10, 12, 13, 10, 7, 3, 1, 0, 0, 1, 4, 8, 9, 9, 9, 7, 6, 13, 31, 56, 88, 122, 152, 170, 174, 166, 149, 129, 115, 112, 120, 133, 146, 154, 155, 153, 152, 157, 167, 177, 185, 185, 175, 157, 136, 114, 95, 80, 70, 62, 56, 48, 38, 27, 18, 14, 17, 27, 37, 44, 42, 35, 24, 13, 3, 0, 0, 0, 4, 12, 20, 26, 30, 28, 22, 14, 6, 1, 2, 4, 4, 4, 5, 3, 1, 0, 6, 17, 29, 37, 42, 37, 28, 17, 12, 26, 61, 105, 154, 198, 222, 221, 199, 164, 125, 92, 66, 48, 35, 24, 15, 8, 2, 0, 0, 1, 3, 8, 13, 19, 26, 31, 35, 36, 35, 32, 28, 25, 25, 25, 25, 23, 18, 14, 8, 2, 6, 13, 21, 27, 35, 40, 50, 67, 93, 126, 161, 188, 204, 208, 201, 189, 172, 152, 129, 106, 85, 69, 60, 58, 60, 62, 59, 50, 38, 25, 14, 9, 9, 13, 17, 19, 19, 15, 11, 7, 3, 1, 0, 4, 15, 31, 47, 61, 67, 60, 46, 30, 14, 3, 2, 10, 21, 32, 41, 48, 49, 50, 53, 60, 73, 87, 98, 107, 113, 119, 125, 132, 137, 139, 136, 131, 125, 116, 105, 91, 72, 53, 41, 37, 43, 55, 64, 62, 51, 36, 19, 5, 6, 13, 18, 18, 19, 15, 8, 2, 8, 22, 38, 52, 62, 61, 49, 34, 18, 6, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 3, 10, 19, 26, 33, 35, 31, 24, 17, 12, 11, 14, 17, 18, 16, 13, 8, 3, 1, 4, 7, 9, 9, 9, 7, 3, 1, 0, 2, 5, 7, 9, 10, 9, 6, 3, 1, 0, 8, 23, 43, 59, 69, 64, 53, 35, 16, 6, 17, 33, 47, 58, 65, 64, 61, 66, 78, 96, 113, 124, 126, 119, 111, 106, 107, 116, 129, 142, 152, 156, 153, 146, 137, 126, 117, 108, 97, 85, 71, 57, 43, 31, 22, 17, 15, 17, 21, 25, 28, 27, 22, 16, 9, 3, 1, 3, 4, 4, 4, 4, 2, 0, 2, 4, 4, 4, 4, 3, 1, 6, 17, 31, 43, 54, 56, 50, 40, 34, 37, 52, 74, 98, 115, 119, 108, 90, 71, 61, 63, 76, 90, 96, 86, 68, 45, 22, 7, 13, 29, 43, 52, 56, 47, 34, 19, 6, 0, 0, 0, 0, 2, 7, 14, 21, 27, 30, 27, 20, 14, 7, 2, 5, 17, 34, 51, 68, 77, 77, 69, 58, 55, 63, 84, 115, 148, 173, 183, 177, 156, 129, 104, 87, 80, 79, 80, 79, 72, 61, 49, 38, 29, 24, 21, 17, 13, 9, 9, 12, 21, 32, 44, 54, 59, 59, 54, 45, 34, 22, 13, 6, 1, 0, 0, 0, 4, 12, 19, 26, 30, 29, 23, 16, 9, 8, 12, 24, 40, 56, 69, 76, 77, 71, 65, 64, 72, 87, 104, 118, 120, 108, 81, 55, 30, 16, 19, 36, 53, 66, 69, 58, 42, 24, 8, 0, 1, 1, 1, 1, 1, 0, 2, 7, 16, 24, 32, 35, 30, 23, 14, 6, 3, 10, 20, 27, 30, 29, 23, 14, 5, 8, 27, 50, 70, 86, 88, 73, 52, 29, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 5, 3, 1, 0, 0, 0, 6, 19, 37, 56, 73, 80, 72, 56, 37, 18, 4, 4, 13, 21, 28, 33, 34, 32, 32, 36, 46, 61, 78, 94, 110, 125, 138, 149, 158, 164, 164, 159, 149, 134, 114, 92, 67, 44, 25, 11, 2, 0, 0, 0, 0, 2, 6, 13, 20, 24, 25, 22, 16, 9, 3, 2, 4, 6, 6, 7, 5, 3, 1, 0, 0, 1, 3, 6, 8, 8, 8, 6, 3, 1, 0, 5, 12, 20, 27, 31, 28, 22, 14, 6, 1, 1, 0, 0, 0, 1, 0, 2, 10, 22, 36, 49, 57, 60, 57, 52, 48, 48, 47, 43, 35, 26, 15, 6, 4, 14, 26, 36, 43, 43, 35, 24, 16, 16, 25, 40, 59, 78, 95, 110, 124, 137, 149, 155, 153, 144, 128, 107, 84, 63, 44, 29, 17, 9, 4, 1, 0, 0, 0, 0, 1, 7, 17, 28, 37, 43, 41, 32, 21, 11, 3, 0, 0, 1, 4, 8, 13, 16, 18, 16, 13, 8, 4, 1, 0, 0, 0, 0, 0, 2, 11, 25, 40, 55, 64, 62, 50, 36, 20, 9, 8, 21, 35, 47, 54, 50, 40, 26, 12, 2, 2, 9, 20, 32, 46, 62, 77, 90, 102, 112, 121, 126, 130, 133, 137, 145, 154, 162, 166, 162, 149, 129, 105, 79, 57, 38, 25, 18, 16, 19, 27, 37, 45, 49, 47, 37, 27, 15, 6, 0, 1, 2, 2, 2, 2, 2, 1, 0, 0, 0, 1, 3, 5, 9, 12, 13, 12, 10, 6, 3, 0, 3, 8, 14, 17, 18, 16, 12, 6, 7, 18, 35, 57, 80, 99, 109, 109, 101, 89, 75, 63, 55, 52, 55, 62, 71, 79, 84, 85, 82, 79, 76, 75, 73, 71, 65, 54, 40, 26, 14, 8, 10, 17, 28, 39, 45, 44, 35, 25, 14, 5, 4, 14, 25, 36, 44, 46, 39, 29, 17, 8, 5, 9, 16, 22, 27, 26, 21, 15, 8, 2, 0, 0, 7, 19, 32, 46, 62, 73, 78, 81, 82, 81, 78, 75, 75, 81, 94, 111, 127, 133, 124, 99, 70, 42, 17, 3, 10, 24, 38, 48, 54, 48, 37, 22, 9, 1, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 4, 16, 34, 53, 72, 83, 83, 72, 58, 48, 50, 66, 91, 117, 138, 145, 141, 131, 120, 117, 124, 138, 153, 159, 152, 127, 92, 59, 30, 9, 9, 24, 41, 53, 61, 57, 45, 29, 18, 15, 17, 20, 21, 18, 13, 6, 1, 0, 0, 0, 2, 8, 15, 23, 31, 36, 35, 29, 20, 12, 5, 1, 0, 0, 2, 8, 17, 27, 35, 38, 33, 26, 16, 7, 1, 0, 0, 0, 0, 0, 0, 2, 12, 29, 51, 70, 84, 84, 69, 49, 28, 10, 0, 4, 9, 13, 14, 14, 12, 7, 2, 0, 0, 2, 6, 13, 22, 32, 42, 48, 47, 40, 30, 20, 9, 2, 4, 11, 19, 26, 33, 35, 31, 24, 16, 9, 5, 6, 12, 18, 22, 25, 23, 19, 16, 17, 20, 27, 32, 33, 28, 22, 14, 10, 13, 24, 41, 61, 82, 100, 113, 122, 126, 126, 126, 125, 127, 130, 133, 133, 127, 114, 94, 73, 55, 44, 40, 40, 41, 38, 33, 27, 26, 32, 46, 65, 84, 95, 99, 96, 91, 86, 87, 91, 98, 106, 113, 121, 131, 144, 158, 170, 177, 177, 170, 159, 149, 145, 147, 154, 161, 163, 155, 136, 111, 84, 61, 46, 38, 35, 33, 29, 23, 16, 10, 6, 5, 5, 6, 8, 12, 18, 28, 36, 41, 39, 31, 22, 12, 3, 2, 14, 30, 45, 57, 62, 54, 40, 24, 10, 1, 0, 1, 3, 4, 5, 5, 4, 2, 2, 3, 6, 7, 7, 7, 5, 4, 6, 10, 12, 13, 12, 9, 5, 1, 1, 5, 10, 13, 15, 14, 11, 6, 2, 0, 0, 0, 1, 2, 3, 4, 6, 7, 7, 6, 5, 3, 1, 0, 0, 3, 12, 24, 39, 54, 65, 66, 59, 44, 29, 15, 5, 2, 8, 15, 23, 31, 38, 44, 54, 71, 98, 132, 166, 193, 205, 196, 169, 131, 90, 56, 37, 32, 40, 54, 66, 71, 69, 60, 51, 46, 48, 55, 64, 69, 65, 52, 37, 21, 8, 1, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 2, 9, 18, 26, 32, 32, 27, 19, 11, 3, 5, 14, 26, 38, 50, 56, 57, 58, 63, 74, 92, 112, 125, 125, 109, 82, 55, 29, 19, 28, 52, 76, 98, 105, 97, 76, 56, 45, 51, 77, 118, 167, 213, 250, 275, 286, 285, 273, 257, 240, 228, 223, 228, 241, 254, 260, 254, 232, 199, 163, 134, 118, 118, 129, 143, 152, 151, 138, 115, 85, 56, 33, 15, 4, 0, 0, 4, 12, 21, 29, 35, 33, 27, 18, 9, 2, 0, 1, 6, 14, 24, 36, 49, 59, 67, 72, 76, 79, 84, 90, 98, 105, 110, 111, 109, 106, 106, 109, 118, 130, 142, 149, 151, 149, 145, 145, 150, 161, 173, 183, 186, 180, 166, 146, 122, 96, 72, 52, 37, 30, 31, 38, 46, 52, 50, 41, 29, 17, 7, 1, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 9, 10, 12, 14, 15, 16, 14, 11, 8, 4, 1, 0, 0, 3, 15, 32, 52, 73, 92, 102, 105, 105, 106, 110, 119, 129, 139, 146, 147, 142, 129, 110, 84, 58, 36, 18, 4, 1, 11, 26, 40, 49, 54, 46, 34, 19, 7, 2, 12, 26, 41, 53, 61, 58, 47, 34, 24, 20, 18, 19, 19, 18, 16, 16, 17, 19, 20, 18, 14, 10, 5, 1, 0, 1, 3, 3, 3, 4, 3, 1, 0, 0, 1, 3, 7, 10, 11, 10, 9, 5, 2, 0, 0, 5, 15, 28, 42, 55, 63, 63, 59, 53, 50, 49, 53, 58, 61, 61, 56, 47, 34, 22, 12, 5, 1, 0, 5, 17, 34, 52, 68, 78, 77, 69, 59, 52, 53, 60, 72, 83, 91, 93, 89, 80, 67, 50, 34, 21, 10, 2, 0, 5, 13, 21, 26, 30, 26, 20, 12, 5, 1, 0, 0, 0, 0, 0, 2, 5, 9, 12, 15, 16, 16, 15, 16, 17, 21, 28, 39, 51, 63, 72, 76, 77, 75, 76, 81, 93, 111, 128, 141, 144, 133, 111, 81, 53, 28, 11, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 3, 13, 28, 47, 68, 86, 95, 94, 84, 66, 46, 29, 15, 5, 0, 0, 0, 3, 8, 12, 15, 17, 16, 12, 7, 3, 1, 0, 0, 0, 3, 11, 20, 30, 38, 42, 38, 29, 19, 10, 3, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 8, 18, 29, 38, 42, 39, 30, 20, 9, 2, 0, 2, 3, 3, 3, 3, 1, 0, 6, 17, 30, 43, 53, 56, 52, 43, 35, 32, 36, 47, 61, 74, 85, 94, 101, 108, 115, 117, 114, 101, 81, 56, 36, 26, 32, 52, 80, 107, 126, 131, 126, 118, 116, 124, 142, 166, 186, 193, 185, 161, 127, 93, 69, 60, 65, 82, 103, 121, 127, 121, 103, 80, 57, 44, 44, 58, 87, 124, 163, 198, 223, 232, 226, 204, 174, 141, 111, 91, 83, 85, 92, 99, 99, 90, 74, 55, 37, 25, 21, 23, 28, 33, 36, 35, 29, 21, 14, 7, 2, 1, 5, 11, 17, 23, 28, 31, 33, 35, 37, 37, 34, 26, 19, 10, 4, 0, 0, 1, 11, 28, 48, 69, 87, 92, 83, 63, 43, 23, 8, 0, 2, 5, 8, 9, 9, 8, 5, 2, 0, 1, 4, 7, 10, 15, 20, 27, 32, 37, 38, 34, 26, 18, 10, 10, 18, 36, 59, 88, 114, 136, 150, 153, 146, 130, 108, 82, 55, 33, 17, 6, 0, 4, 14, 29, 47, 66, 80, 84, 78, 62, 43, 25, 13, 10, 17, 30, 44, 57, 63, 61, 51, 38, 24, 13, 8, 7, 9, 10, 9, 8, 5, 2, 0, 0, 4, 12, 24, 34, 41, 42, 34, 24, 13, 4, 0, 0, 0, 4, 12, 22, 34, 50, 64, 76, 83, 86, 83, 76, 69, 62, 59, 63, 71, 81, 89, 93, 91, 82, 69, 55, 43, 35, 33, 37, 48, 62, 79, 96, 109, 115, 114, 106, 92, 74, 56, 39, 25, 14, 7, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 3, 11, 20, 28, 33, 32, 26, 18, 9, 2, 1, 8, 18, 28, 36, 39, 34, 26, 16, 6, 3, 9, 17, 24, 29, 30, 25, 18, 10, 4, 0, 0, 0, 1, 8, 20, 36, 52, 67, 74, 71, 61, 47, 37, 33, 39, 49, 60, 67, 65, 53, 38, 23, 10, 1, 1, 9, 22, 37, 51, 61, 62, 52, 37, 22, 10, 2, 0, 0, 0, 0, 1, 5, 11, 19, 30, 39, 44, 43, 35, 25, 15, 6, 2, 9, 18, 28, 35, 39, 34, 26, 17, 12, 14, 21, 29, 34, 31, 25, 17, 8, 2, 0, 3, 11, 23, 38, 57, 75, 92, 103, 110, 111, 108, 102, 95, 87, 80, 75, 73, 73, 77, 86, 98, 112, 124, 131, 128, 114, 93, 70, 51, 42, 46, 59, 75, 85, 85, 72, 53, 34, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 18, 27, 34, 36, 31, 23, 14, 6, 1, 0, 0, 0, 0, 0, 0, 0, 3, 13, 27, 43, 57, 66, 65, 56, 43, 31, 24, 22, 27, 32, 36, 36, 33, 25, 17, 10, 4, 1, 0, 2, 9, 18, 28, 37, 43, 43, 39, 33, 28, 27, 28, 33, 36, 37, 35, 31, 23, 17, 12, 8, 8, 12, 19, 30, 44, 59, 75, 90, 103, 115, 124, 131, 136, 138, 138, 135, 129, 120, 108, 94, 80, 69, 63, 61, 66, 71, 74, 72, 62, 46, 30, 16, 6, 0, 0, 2, 5, 10, 15, 20, 23, 23, 20, 15, 11, 6, 2, 0, 0, 1, 7, 18, 32, 48, 64, 75, 78, 73, 62, 47, 32, 19, 12, 13, 19, 29, 37, 40, 37, 29, 19, 10, 3, 0, 0, 0, 0, 0, 0, 0, 1, 9, 24, 46, 74, 102, 121, 126, 117, 96, 72, 53, 46, 55, 76, 104, 132, 151, 159, 154, 137, 115, 91, 71, 58, 55, 63, 78, 98, 117, 129, 131, 120, 101, 76, 54, 42, 43, 54, 76, 101, 124, 139, 146, 146, 143, 140, 140, 144, 151, 158, 164, 166, 165, 159, 151, 141, 129, 117, 103, 89, 74, 59, 44, 30, 18, 9, 4, 0, 2, 8, 15, 23, 33, 39, 41, 38, 31, 22, 14, 10, 11, 16, 26, 34, 38, 36, 29, 20, 11, 4, 0, 0, 0, 3, 10, 18, 24, 29, 28, 23, 15, 8, 4, 9, 19, 29, 38, 43, 39, 30, 20, 10, 2, 2, 10, 22, 36, 52, 66, 74, 74, 66, 51, 36, 22, 10, 3, 0, 0, 0, 1, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 6, 3, 0, 0, 0, 0, 2, 11, 24, 40, 57, 70, 71, 61, 46, 29, 13, 3, 11, 31, 58, 88, 121, 145, 154, 149, 134, 112, 89, 71, 59, 56, 60, 69, 80, 89, 94, 96, 94, 92, 93, 97, 105, 112, 116, 112, 101, 84, 65, 50, 43, 43, 50, 56, 58, 51, 40, 27, 13, 3, 7, 22, 42, 63, 84, 93, 90, 76, 57, 39, 29, 25, 30, 39, 50, 62, 72, 81, 88, 94, 97, 99, 98, 95, 89, 81, 71, 57, 41, 27, 16, 7, 1, 0, 0, 4, 11, 21, 32, 44, 53, 58, 58, 55, 52, 47, 43, 42, 43, 44, 45, 43, 37, 28, 19, 10, 8, 13, 29, 48, 68, 82, 86, 78, 59, 40, 22, 8, 0, 1, 9, 22, 36, 49, 59, 59, 48, 34, 20, 8, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 19, 27, 32, 31, 25, 17, 9, 2, 4, 17, 35, 55, 77, 92, 96, 88, 71, 49, 30, 14, 6, 9, 21, 39, 61, 84, 104, 115, 117, 112, 100, 83, 66, 50, 36, 27, 22, 19, 20, 22, 26, 32, 39, 49, 60, 71, 79, 83, 81, 73, 60, 44, 29, 16, 7, 1, 0, 0, 1, 7, 16, 30, 47, 64, 75, 78, 71, 55, 38, 21, 9, 1, 0, 0, 0, 2, 5, 10, 16, 24, 31, 41, 53, 68, 86, 106, 124, 134, 135, 123, 101, 72, 46, 24, 8, 0, 0, 8, 25, 45, 67, 88, 99, 95, 82, 63, 45, 30, 22, 18, 17, 14, 11, 7, 4, 1, 0, 0, 0, 0, 2, 6, 14, 24, 35, 45, 49, 47, 38, 27, 16, 7, 1, 2, 8, 13, 17, 20, 19, 14, 9, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 10, 21, 36, 53, 69, 80, 86, 88, 87, 81, 75, 66, 54, 41, 28, 17, 8, 3, 0, 4, 12, 22, 37, 54, 70, 83, 89, 89, 82, 67, 49, 32, 17, 6, 0, 0, 3, 11, 21, 31, 43, 49, 49, 44, 35, 26, 18, 13, 10, 9, 9, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 17, 24, 29, 28, 22, 15, 8, 2, 0, 0, 4, 12, 20, 28, 34, 34, 27, 19, 11, 4, 0, 1, 9, 20, 33, 44, 51, 48, 39, 26, 13, 4, 0, 5, 14, 25, 35, 45, 49, 47, 44, 42, 42, 48, 55, 62, 67, 68, 63, 56, 48, 41, 36, 36, 39, 45, 51, 58, 62, 64, 62, 56, 45, 32, 21, 11, 4, 0, 2, 11, 23, 38, 55, 71, 80, 84, 85, 83, 84, 86, 92, 97, 101, 100, 94, 84, 70, 57, 45, 38, 34, 33, 36, 41, 48, 56, 65, 73, 82, 88, 92, 92, 90, 84, 76, 69, 60, 50, 42, 33, 23, 15, 9, 5, 5, 11, 20, 28, 38, 45, 53, 61, 73, 88, 102, 114, 115, 104, 82, 57, 33, 14, 2, 0, 0, 1, 7, 16, 25, 32, 36, 32, 25, 18, 17, 24, 39, 55, 68, 71, 62, 47, 30, 14, 3, 0, 1, 7, 14, 20, 24, 24, 20, 14, 7, 1, 1, 11, 25, 42, 58, 70, 69, 57, 41, 25, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 12, 22, 35, 47, 53, 55, 50, 42, 35, 31, 33, 40, 50, 58, 64, 63, 59, 52, 46, 44, 47, 54, 62, 68, 67, 59, 45, 31, 17, 6, 0, 0, 0, 1, 5, 10, 16, 24, 32, 39, 44, 48, 49, 47, 42, 35, 29, 25, 24, 27, 32, 37, 40, 39, 34, 25, 16, 8, 3, 0, 1, 3, 6, 9, 11, 11, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 28, 44, 60, 71, 73, 68, 56, 45, 36, 32, 30, 30, 29, 25, 19, 13, 12, 15, 24, 36, 48, 56, 57, 51, 39, 26, 14, 5, 0, 3, 10, 19, 29, 40, 48, 51, 49, 42, 34, 26, 21, 17, 14, 12, 10, 7, 4, 1, 0, 0, 0, 7, 22, 43, 68, 93, 110, 112, 100, 76, 51, 28, 11, 1, 0, 0, 0, 1, 8, 20, 38, 58, 78, 92, 97, 92, 79, 62, 44, 29, 21, 19, 24, 32, 38, 40, 35, 27, 17, 8, 2, 0, 0, 3, 8, 15, 23, 32, 41, 48, 57, 66, 76, 84, 88, 85, 75, 58, 39, 23, 10, 2, 0, 0, 0, 5, 16, 30, 48, 68, 84, 92, 92, 83, 66, 46, 29, 14, 4, 0, 7, 19, 35, 52, 70, 79, 78, 67, 52, 37, 28, 28, 36, 51, 67, 80, 86, 83, 73, 58, 42, 28, 16, 8, 4, 1, 0, 0, 0, 0, 0, 0, 1, 7, 16, 29, 44, 57, 64, 63, 54, 39, 25, 12, 4, 0, 0, 0, 1, 7, 15, 25, 35, 43, 44, 40, 31, 23, 15, 14, 17, 26, 38, 50, 62, 70, 74, 76, 73, 68, 63, 60, 60, 66, 76, 91, 106, 119, 127, 129, 123, 110, 94, 77, 64, 56, 54, 57, 61, 63, 62, 56, 47, 37, 29, 23, 21, 21, 23, 24, 26, 28, 32, 37, 45, 53, 57, 57, 50, 38, 26, 14, 4, 0, 4, 15, 27, 40, 51, 55, 47, 36, 23, 11, 2, 0, 7, 20, 39, 60, 81, 93, 93, 79, 58, 37, 19, 6, 0, 2, 14, 32, 54, 76, 91, 93, 79, 58, 36, 17, 4, 0, 0, 0, 5, 15, 28, 40, 53, 59, 59, 54, 50, 50, 55, 64, 75, 84, 87, 81, 68, 51, 33, 18, 10, 11, 20, 34, 49, 62, 68, 68, 64, 59, 56, 61, 74, 94, 118, 139, 153, 157, 150, 136, 118, 101, 91, 90, 97, 109, 121, 127, 122, 107, 80, 54, 31, 12, 1, 4, 15, 31, 48, 66, 82, 89, 88, 81, 71, 60, 52, 47, 45, 47, 54, 61, 68, 73, 75, 71, 62, 47, 32, 19, 8, 1, 0, 3, 8, 12, 14, 15, 13, 9, 5, 1, 0, 2, 5, 7, 8, 7, 6, 4, 1, 0, 0, 0, 0, 0, 2, 7, 14, 24, 36, 50, 61, 69, 72, 70, 62, 50, 38, 29, 23, 24, 30, 42, 54, 65, 73, 78, 76, 70, 63, 55, 50, 50, 57, 69, 87, 106, 123, 135, 141, 140, 135, 128, 121, 118, 117, 119, 120, 119, 114, 105, 94, 83, 75, 70, 69, 71, 73, 76, 77, 77, 78, 79, 82, 86, 91, 94, 95, 94, 91, 85, 80, 75, 71, 68, 65, 61, 57, 54, 51, 51, 55, 63, 73, 83, 90, 90, 83, 68, 49, 31, 16, 6, 4, 9, 16, 24, 33, 38, 39, 37, 34, 32, 31, 32, 35, 38, 41, 41, 40, 35, 30, 22, 15, 9, 4, 1, 1, 5, 12, 20, 28, 35, 37, 32, 24, 16, 8, 2, 0, 1, 6, 12, 18, 25, 31, 33, 32, 30, 29, 26, 23, 19, 14, 9, 5, 1, 0, 0, 0, 1, 11, 31, 55, 80, 101, 109, 100, 77, 51, 28, 10, 0, 0, 0, 1, 3, 4, 4, 5, 3, 2, 0, 0, 0, 0, 4, 13, 26, 41, 58, 72, 79, 79, 72, 59, 44, 29, 16, 7, 1, 0, 0, 0, 4, 11, 19, 31, 43, 51, 53, 51, 42, 30, 18, 9, 2, 0, 0, 0, 0, 1, 7, 16, 26, 36, 43, 41, 33, 23, 13, 4, 0, 2, 10, 21, 32, 46, 56, 60, 56, 47, 34, 22, 11, 4, 0, 0, 0, 0, 0, 7, 25, 50, 82, 117, 147, 162, 162, 146, 119, 86, 54, 30, 13, 3, 0, 0, 0, 0, 0, 0, 4, 15, 30, 49, 71, 90, 101, 101, 90, 72, 50, 30, 13, 6, 11, 27, 48, 71, 96, 110, 112, 102, 83, 57, 35, 17, 5, 0, 4, 13, 23, 35, 49, 58, 64, 64, 61, 54, 44, 32, 21, 12, 5, 0, 0, 1, 10, 25, 44, 65, 85, 96, 96, 85, 68, 47, 28, 14, 7, 4, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 5, 13, 24, 37, 50, 59, 63, 61, 55, 46, 35, 23, 14, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 4, 3, 2, 1, 0, 1, 7, 16, 29, 44, 60, 73, 78, 76, 64, 47, 31, 17, 6, 0, 0, 4, 12, 22, 32, 42, 45, 40, 30, 20, 9, 2, 0, 0, 4, 13, 24, 36, 47, 51, 48, 38, 26, 15, 9, 11, 23, 40, 60, 79, 91, 94, 87, 73, 58, 42, 33, 31, 35, 41, 47, 49, 43, 33, 23, 12, 4, 2, 11, 25, 42, 62, 80, 90, 91, 84, 70, 54, 40, 31, 28, 32, 41, 51, 60, 66, 66, 61, 50, 36, 23, 12, 5, 0, 0, 0, 0, 1, 5, 13, 22, 33, 41, 46, 44, 36, 26, 16, 7, 2, 4, 12, 24, 37, 50, 58, 58, 48, 35, 23, 11, 2, 0, 4, 15, 29, 48, 69, 88, 100, 109, 111, 111, 111, 111, 111, 110, 106, 100, 91, 81, 72, 67, 67, 75, 88, 104, 121, 133, 138, 135, 125, 107, 87, 67, 50, 38, 35, 41, 54, 71, 90, 107, 117, 120, 118, 109, 97, 83, 67, 51, 34, 21, 11, 4, 0, 0, 6, 19, 36, 57, 81, 99, 106, 103, 89, 66, 44, 25, 10, 1, 0, 5, 13, 20, 25, 28, 25, 18, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 17, 27, 40, 51, 62, 69, 74, 76, 72, 63, 50, 35, 21, 11, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 15, 28, 43, 58, 68, 69, 63, 50, 35, 21, 12, 9, 13, 22, 33, 44, 50, 51, 45, 33, 22, 12, 4, 0, 0, 5, 16, 32, 52, 77, 100, 117, 127, 129, 123, 111, 96, 81, 69, 61, 59, 63, 70, 81, 91, 99, 102, 100, 91, 76, 58, 38, 23, 11, 7, 9, 20, 34, 50, 65, 77, 83, 83, 78, 71, 64, 60, 61, 66, 76, 88, 97, 102, 98, 86, 67, 46, 27, 12, 2, 0, 0, 0, 1, 8, 20, 36, 54, 71, 81, 81, 71, 54, 36, 20, 8, 1, 0, 0, 2, 12, 26, 46, 68, 91, 109, 120, 123, 121, 115, 106, 97, 89, 82, 77, 76, 77, 82, 90, 100, 108, 114, 114, 106, 89, 66, 44, 24, 10, 1, 0, 0, 8, 25, 46, 70, 95, 110, 111, 98, 75, 50, 28, 12, 2, 0, 3, 8, 13, 16, 18, 16, 11, 7, 2, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 5, 8, 12, 15, 18, 18, 15, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 20, 35, 54, 73, 87, 90, 84, 69, 49, 31, 15, 5, 0, 0, 0, 0, 0, 4, 13, 26, 41, 58, 71, 80, 83, 82, 79, 76, 72, 70, 68, 66, 65, 62, 57, 52, 44, 35, 26, 17, 9, 5, 7, 14, 27, 48, 75, 105, 133, 156, 166, 164, 145, 114, 79, 48, 23, 6, 0, 0, 0, 9, 24, 44, 65, 87, 102, 105, 97, 83, 66, 49, 34, 22, 14, 10, 7, 6, 7, 7, 9, 10, 11, 11, 10, 9, 7, 5, 2, 2, 1, 3, 4, 6, 8, 10, 12, 16, 21, 27, 35, 44, 54, 64, 71, 77, 78, 75, 67, 56, 42, 28, 17, 8, 4, 5, 12, 21, 34, 46, 59, 68, 75, 78, 78, 76, 74, 73, 75, 80, 89, 99, 109, 116, 121, 121, 116, 105, 91, 76, 61, 51, 47, 49, 59, 74, 93, 113, 131, 145, 152, 151, 141, 123, 98, 69, 44, 25, 10, 1, 0, 0, 3, 11, 22, 36, 53, 69, 82, 92, 100, 105, 109, 109, 107, 101, 92, 79, 63, 45, 29, 17, 7, 1, 0, 0, 0, 0, 1, 7, 15, 27, 42, 57, 67, 73, 72, 65, 54, 40, 26, 15, 7, 2, 0, 2, 7, 13, 22, 32, 41, 49, 53, 55, 53, 48, 40, 30, 20, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 15, 22, 28, 29, 25, 19, 11, 5, 1, 6, 17, 31, 49, 70, 87, 98, 103, 100, 90, 77, 63, 51, 41, 36, 33, 31, 28, 22, 16, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 19, 35, 53, 73, 88, 95, 93, 84, 70, 54, 37, 23, 13, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 17, 28, 41, 51, 57, 57, 54, 48, 43, 40, 43, 49, 61, 76, 92, 105, 116, 120, 117, 109, 97, 82, 67, 54, 44, 40, 39, 42, 47, 54, 59, 61, 58, 51, 40, 27, 16, 7, 2, 0, 0, 2, 10, 21, 35, 51, 67, 80, 86, 88, 84, 76, 65, 54, 45, 37, 33, 31, 31, 31, 31, 30, 30, 29, 27, 25, 21, 15, 10, 6, 2, 0, 0, 0, 0, 0, 2, 7, 15, 24, 35, 43, 48, 49, 45, 39, 35, 31, 29, 31, 35, 41, 47, 53, 56, 58, 56, 53, 49, 44, 40, 37, 33, 29, 26, 21, 16, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 2, 5, 9, 16, 23, 32, 41, 51, 61, 69, 75, 77, 75, 70, 61, 51, 42, 31, 21, 14, 7, 3, 0, 0, 0, 2, 9, 21, 36, 56, 74, 87, 92, 88, 75, 56, 37, 21, 8, 1, 0, 0, 1, 4, 9, 14, 19, 21, 21, 17, 12, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 20, 28, 33, 34, 30, 25, 17, 11, 10, 12, 18, 28, 41, 53, 65, 73, 77, 76, 71, 64, 56, 49, 44, 42, 44, 47, 51, 55, 57, 55, 51, 45, 38, 30, 22, 14, 9, 5, 2, 2, 4, 7, 10, 11, 12, 12, 11, 11, 13, 18, 25, 34, 44, 54, 63, 68, 68, 62, 52, 39, 25, 14, 6, 4, 8, 17, 29, 42, 54, 60, 59, 50, 37, 23, 12, 4, 0, 0, 0, 0, 5, 12, 20, 29, 37, 40, 38, 31, 23, 14, 7, 2, 2, 3, 6, 7, 8, 6, 5, 2, 0, 0, 0, 0, 2, 6, 14, 23, 34, 45, 53, 59, 62, 62, 60, 56, 51, 46, 42, 39, 38, 39, 41, 43, 42, 41, 37, 33, 27, 21, 16, 11, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 16, 21, 22, 19, 15, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 21, 31, 40, 44, 45, 44, 39, 38, 38, 41, 47, 57, 67, 75, 82, 84, 82, 75, 64, 51, 38, 27, 21, 19, 20, 26, 33, 40, 45, 48, 48, 46, 40, 34, 29, 25, 24, 25, 29, 33, 36, 35, 31, 23, 15, 8, 2, 0, 0, 0, 0, 3, 12, 24, 39, 58, 74, 86, 93, 96, 94, 91, 87, 81, 76, 71, 66, 59, 51, 41, 31, 20, 12, 5, 1, 0, 0, 2, 8, 16, 26, 38, 50, 59, 62, 60, 53, 41, 28, 17, 8, 2, 0, 0, 0, 2, 9, 20, 35, 53, 71, 84, 92, 92, 85, 74, 58, 41, 26, 14, 5, 0, 0, 0, 0, 0, 2, 9, 19, 30, 44, 55, 63, 64, 58, 49, 37, 24, 14, 7, 3, 4, 10, 18, 29, 39, 47, 52, 50, 43, 32, 21, 12, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 17, 21, 25, 28, 31, 34, 37, 40, 43, 45, 46, 45, 41, 34, 24, 16, 9, 3, 0, 0, 0, 0, 0, 0, 2, 6, 14, 24, 36, 47, 57, 63, 65, 63, 55, 43, 30, 19, 9, 2, 0, 1, 7, 18, 33, 52, 72, 89, 98, 99, 92, 78, 59, 40, 24, 13, 9, 13, 24, 40, 58, 76, 89, 97, 98, 90, 76, 57, 38, 23, 10, 2, 0, 0, 0, 0, 2, 9, 20, 34, 50, 65, 77, 82, 82, 77, 65, 49, 33, 20, 9, 2, 0, 0, 1, 4, 10, 17, 25, 34, 41, 47, 52, 56, 61, 66, 71, 77, 81, 85, 87, 89, 89, 88, 84, 77, 69, 56, 42, 28, 17, 8, 2, 0, 0, 3, 6, 10, 13, 14, 13, 10, 7, 3, 1, 0, 0, 0, 0, 0, 3, 9, 18, 28, 40, 48, 52, 51, 46, 38, 29, 21, 15, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 19, 29, 39, 47, 52, 54, 51, 46, 37, 29, 20, 12, 7, 5, 7, 13, 22, 32, 43, 52, 59, 62, 62, 58, 52, 45, 38, 31, 25, 21, 19, 19, 23, 30, 39, 50, 60, 69, 74, 75, 71, 63, 50, 36, 23, 13, 5, 0, 0, 0, 2, 8, 16, 27, 40, 53, 63, 70, 72, 71, 65, 57, 48, 42, 37, 35, 37, 41, 47, 51, 55, 57, 58, 58, 60, 65, 75, 88, 104, 122, 139, 151, 159, 159, 150, 134, 114, 89, 66, 45, 30, 21, 20, 25, 36, 50, 65, 79, 90, 98, 101, 99, 93, 86, 79, 72, 68, 67, 68, 70, 73, 74, 72, 69, 62, 51, 40, 29, 22, 21, 26, 39, 59, 83, 109, 132, 150, 159, 159, 148, 130, 105, 77, 50, 29, 13, 5, 7, 17, 31, 48, 66, 78, 84, 82, 71, 55, 37, 22, 10, 2, 0, 0, 0, 1, 7, 17, 29, 44, 58, 65, 66, 60, 48, 33, 21, 10, 3, 0, 0, 2, 10, 21, 36, 54, 71, 80, 82, 74, 58, 40, 24, 11, 2, 0, 0, 0, 0, 2, 8, 15, 22, 30, 36, 36, 34, 30, 26, 24, 26, 34, 45, 58, 71, 80, 82, 78, 67, 51, 34, 20, 9, 2, 0, 0, 4, 9, 15, 19, 22, 20, 15, 10, 5, 1, 0, 0, 0, 0, 2, 10, 22, 38, 54, 67, 73, 69, 56, 40, 25, 12, 3, 0, 0, 3, 12, 25, 42, 63, 82, 96, 105, 107, 104, 96, 85, 72, 57, 42, 30, 20, 15, 13, 15, 19, 25, 30, 34, 37, 37, 36, 34, 30, 25, 21, 16, 13, 11, 9, 7, 6, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 11, 25, 42, 66, 90, 111, 125, 132, 127, 113, 90, 63, 39, 20, 6, 0, 0, 0, 0, 0, 6, 15, 27, 40, 54, 63, 65, 62, 56, 47, 39, 33, 29, 27, 28, 30, 33, 34, 33, 30, 26, 20, 15, 11, 9, 9, 12, 17, 23, 30, 35, 38, 38, 35, 29, 22, 14, 8, 4, 4, 8, 17, 28, 40, 52, 61, 66, 67, 64, 57, 48, 35, 24, 14, 7, 2, 0, 0, 2, 5, 10, 16, 23, 29, 35, 39, 41, 45, 47, 49, 51, 53, 55, 56, 57, 58, 58, 58, 58, 58, 58, 58, 58, 58, 59, 61, 61, 60, 57, 52, 44, 34, 24, 15, 8, 3, 0, 1, 4, 10, 19, 29, 40, 49, 55, 55, 51, 42, 30, 19, 10, 4, 0, 0, 0, 0, 0, 0, 3, 11, 23, 39, 57, 73, 84, 88, 84, 74, 59, 43, 27, 15, 6, 1, 2, 8, 18, 32, 48, 65, 78, 85, 86, 82, 73, 64, 54, 49, 48, 52, 59, 66, 71, 70, 64, 52, 37, 24, 16, 21, 40, 75, 118, 160, 188, 192, 168, 126, 83, 42, 12, 6, 11 ],
      "c" : [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 127, 302, 552, 876, 1257, 1625, 1949, 2197, 2346, 2376, 2284, 2074, 1773, 1415, 1045, 700, 418, 219, 93, 24, 0, 0, 0, 4, 32, 78, 141, 217, 306, 385, 454, 512, 567, 634, 740, 916, 1194, 1588, 2077, 2607, 3102, 3491, 3731, 3820, 3797, 3715, 3626, 3561, 3525, 3512, 3509, 3510, 3510, 3511, 3511, 3511, 3530, 3600, 3750, 3962, 4153, 4178, 3896, 3244, 2389, 1553, 785, 228, 0, 0, 228, 785, 1554, 2391, 3247, 3899, 4183, 4159, 3968, 3756, 3607, 3537, 3519, 3519, 3520, 3520, 3520, 3520, 3520, 3520, 3521, 3521, 3522, 3528, 3543, 3575, 3622, 3672, 3702, 3681, 3583, 3399, 3141, 2841, 2538, 2269, 2052, 1891, 1777, 1696, 1637, 1589, 1548, 1509, 1468, 1425, 1377, 1325, 1269, 1209, 1143, 1069, 983, 884, 775, 660, 550, 455, 381, 332, 304, 288, 280, 274, 267, 261, 258, 257, 256, 254, 247, 237, 225, 210, 195, 179, 161, 140, 118, 96, 79, 69, 70, 82, 108, 147, 199, 260, 330, 401, 468, 523, 558, 568, 548, 502, 433, 352, 269, 198, 147, 122, 124, 150, 196, 257, 327, 397, 461, 512, 541, 545, 519, 466, 387, 292, 195, 116, 56, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 47, 93, 151, 228, 305, 379, 447, 507, 559, 604, 646, 688, 735, 781, 826, 863, 888, 901, 905, 907, 912, 922, 935, 949, 960, 963, 959, 945, 922, 887, 840, 778, 701, 611, 510, 402, 292, 190, 112, 55, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 54, 117, 202, 310, 422, 518, 585, 615, 606, 559, 483, 389, 291, 202, 129, 77, 44, 28, 23, 25, 32, 39, 48, 55, 60, 63, 63, 63, 61, 58, 53, 46, 37, 27, 17, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 33, 73, 129, 205, 295, 386, 469, 533, 566, 563, 525, 463, 394, 336, 304, 307, 344, 405, 477, 544, 589, 598, 565, 491, 386, 269, 166, 86, 32, 4, 0, 0, 0, 0, 0, 3, 6, 9, 12, 15, 17, 19, 20, 20, 18, 14, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 1, 0, 0, 12, 42, 88, 150, 229, 314, 395, 466, 522, 557, 562, 533, 469, 376, 268, 170, 91, 36, 6, 0, 0, 1, 4, 5, 5, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 41, 87, 148, 227, 310, 386, 448, 486, 496, 473, 420, 342, 251, 162, 92, 42, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 35, 79, 144, 234, 335, 431, 508, 550, 550, 507, 432, 338, 241, 152, 86, 41, 14, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 10, 9, 7, 4, 1, 0, 0, 1, 9, 23, 42, 66, 95, 125, 155, 185, 218, 256, 298, 347, 402, 463, 526, 590, 651, 708, 765, 823, 885, 951, 1016, 1075, 1122, 1153, 1169, 1176, 1180, 1186, 1193, 1197, 1196, 1183, 1159, 1121, 1073, 1014, 950, 883, 815, 751, 692, 637, 586, 536, 486, 435, 385, 335, 291, 256, 231, 216, 209, 204, 196, 183, 164, 143, 124, 113, 113, 123, 140, 160, 176, 188, 195, 201, 209, 222, 234, 243, 243, 231, 208, 181, 156, 139, 133, 135, 142, 147, 147, 141, 130, 116, 102, 88, 73, 58, 44, 32, 25, 24, 27, 33, 38, 38, 31, 24, 15, 6, 0, 0, 18, 57, 118, 199, 298, 393, 467, 510, 515, 485, 423, 342, 253, 170, 102, 55, 26, 12, 8, 8, 12, 19, 29, 40, 47, 47, 40, 29, 17, 8, 5, 8, 9, 9, 8, 5, 2, 0, 0, 0, 0, 0, 0, 2, 10, 22, 37, 53, 64, 64, 52, 39, 23, 8, 0, 10, 29, 54, 87, 135, 190, 255, 326, 399, 462, 503, 513, 487, 431, 355, 271, 191, 123, 71, 36, 15, 4, 0, 0, 0, 0, 2, 6, 10, 15, 19, 19, 16, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 14, 20, 23, 22, 17, 12, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 9, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 5, 32, 86, 166, 272, 393, 503, 578, 607, 582, 511, 413, 310, 231, 195, 213, 281, 382, 491, 578, 624, 618, 564, 475, 368, 261, 167, 96, 47, 18, 8, 9, 12, 13, 13, 11, 6, 1, 1, 5, 9, 12, 11, 11, 8, 3, 0, 1, 24, 72, 145, 244, 365, 478, 566, 613, 611, 558, 467, 353, 237, 140, 69, 25, 6, 2, 2, 2, 2, 1, 5, 11, 17, 22, 26, 26, 24, 18, 13, 9, 5, 2, 1, 3, 5, 6, 7, 6, 4, 2, 0, 0, 0, 1, 4, 6, 8, 9, 8, 6, 3, 1, 1, 4, 8, 11, 13, 12, 10, 6, 3, 1, 2, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 3, 9, 17, 23, 25, 23, 18, 11, 3, 0, 0, 11, 41, 93, 172, 281, 404, 523, 616, 666, 662, 605, 506, 386, 266, 162, 87, 38, 12, 1, 1, 4, 6, 7, 7, 6, 4, 2, 1, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 2, 8, 15, 21, 25, 24, 19, 13, 6, 1, 0, 2, 6, 11, 16, 24, 32, 40, 48, 55, 58, 58, 55, 51, 50, 50, 49, 43, 34, 25, 14, 7, 10, 22, 33, 43, 49, 49, 43, 34, 24, 15, 9, 5, 5, 8, 16, 25, 35, 41, 43, 39, 32, 23, 14, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 16, 18, 16, 12, 7, 3, 0, 0, 2, 5, 9, 11, 13, 11, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 11, 42, 97, 173, 268, 360, 427, 455, 436, 377, 293, 200, 120, 62, 24, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 8, 6, 3, 0, 0, 0, 0, 0, 3, 5, 5, 5, 5, 3, 1, 0, 0, 20, 64, 137, 237, 358, 475, 566, 616, 618, 573, 490, 383, 269, 169, 91, 37, 7, 0, 0, 0, 0, 0, 10, 36, 83, 155, 258, 377, 496, 591, 643, 637, 575, 471, 350, 242, 170, 150, 188, 278, 403, 538, 654, 724, 730, 669, 555, 414, 273, 157, 76, 28, 5, 0, 5, 15, 24, 28, 30, 27, 19, 10, 8, 14, 23, 30, 34, 30, 23, 14, 6, 1, 0, 0, 1, 2, 4, 4, 4, 4, 2, 1, 3, 8, 12, 15, 16, 14, 10, 5, 4, 7, 10, 12, 12, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 3, 4, 7, 10, 9, 9, 7, 3, 0, 4, 29, 78, 155, 262, 395, 530, 645, 720, 739, 698, 605, 481, 348, 226, 129, 64, 26, 7, 0, 0, 2, 6, 9, 11, 11, 11, 8, 4, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 35, 102, 207, 352, 527, 692, 813, 861, 824, 712, 555, 394, 272, 218, 241, 329, 457, 592, 701, 761, 759, 695, 582, 444, 304, 182, 94, 39, 11, 0, 0, 0, 0, 0, 0, 0, 6, 37, 100, 202, 339, 501, 656, 774, 834, 824, 745, 615, 461, 315, 212, 175, 217, 326, 474, 619, 721, 751, 703, 593, 448, 302, 179, 91, 38, 11, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 43, 102, 192, 311, 442, 556, 633, 651, 608, 513, 388, 258, 149, 72, 25, 3, 0, 0, 8, 20, 31, 39, 45, 40, 30, 18, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 2, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 16, 52, 109, 187, 284, 378, 451, 490, 486, 441, 363, 269, 174, 99, 46, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 22, 63, 129, 221, 332, 440, 521, 560, 546, 484, 386, 274, 170, 92, 39, 10, 0, 0, 0, 0, 0, 0, 0, 0, 6, 31, 81, 164, 283, 432, 584, 712, 789, 794, 725, 598, 445, 304, 212, 190, 246, 365, 519, 669, 775, 809, 762, 647, 493, 343, 235, 193, 225, 318, 443, 566, 655, 687, 652, 562, 436, 300, 180, 93, 37, 9, 2, 5, 8, 9, 9, 8, 6, 2, 0, 2, 5, 8, 9, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 10, 11, 9, 6, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 1, 0, 0, 2, 25, 71, 143, 243, 371, 499, 606, 670, 674, 613, 503, 370, 254, 191, 204, 295, 444, 614, 762, 852, 862, 792, 658, 490, 320, 184, 87, 28, 1, 2, 3, 2, 2, 3, 1, 0, 4, 10, 15, 19, 21, 18, 13, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 34, 81, 153, 254, 371, 487, 580, 630, 621, 554, 444, 321, 220, 169, 186, 267, 390, 525, 639, 703, 704, 641, 529, 395, 273, 193, 181, 240, 359, 506, 639, 719, 725, 653, 525, 370, 228, 118, 46, 10, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 6, 17, 43, 94, 173, 281, 404, 521, 605, 635, 603, 515, 392, 262, 152, 73, 26, 4, 0, 0, 4, 11, 21, 33, 46, 55, 57, 53, 43, 30, 20, 12, 8, 4, 4, 4, 2, 0, 0, 17, 63, 143, 259, 405, 557, 680, 749, 750, 684, 566, 424, 285, 167, 85, 35, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 51, 108, 187, 287, 387, 472, 529, 549, 529, 474, 392, 295, 198, 118, 60, 22, 2, 0, 0, 0, 1, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 4, 17, 45, 88, 147, 219, 296, 376, 451, 517, 565, 584, 565, 504, 407, 291, 182, 96, 37, 6, 0, 3, 7, 12, 17, 21, 20, 17, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 15, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 6, 30, 75, 147, 245, 363, 480, 575, 629, 628, 572, 472, 348, 225, 127, 58, 18, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 1, 2, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 2, 24, 70, 141, 233, 339, 432, 492, 508, 474, 402, 310, 223, 166, 159, 209, 311, 443, 578, 684, 735, 718, 640, 520, 390, 285, 233, 246, 322, 440, 571, 678, 734, 726, 654, 533, 390, 253, 142, 66, 25, 12, 12, 12, 12, 10, 5, 1, 3, 10, 17, 25, 33, 35, 31, 23, 15, 8, 2, 0, 0, 0, 2, 5, 8, 10, 11, 10, 7, 4, 1, 0, 0, 0, 1, 7, 17, 28, 38, 44, 42, 33, 23, 12, 3, 0, 16, 57, 127, 222, 341, 459, 551, 599, 592, 533, 434, 315, 201, 112, 49, 13, 0, 5, 13, 23, 35, 47, 52, 49, 41, 31, 23, 18, 18, 20, 20, 17, 13, 7, 2, 0, 0, 0, 0, 2, 5, 10, 14, 15, 14, 11, 7, 4, 5, 8, 11, 13, 13, 12, 10, 10, 12, 14, 15, 14, 12, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 11, 20, 29, 35, 38, 35, 27, 18, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 10, 11, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 29, 75, 153, 262, 392, 520, 621, 672, 663, 597, 493, 374, 263, 173, 107, 61, 35, 18, 6, 0, 0, 0, 0, 2, 8, 14, 18, 20, 18, 14, 8, 2, 0, 0, 0, 0, 0, 15, 51, 116, 216, 346, 484, 604, 680, 694, 642, 539, 408, 273, 161, 81, 31, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 13, 15, 14, 12, 7, 4, 3, 3, 3, 3, 2, 0, 17, 72, 160, 273, 406, 530, 611, 630, 588, 496, 381, 272, 201, 189, 240, 343, 469, 582, 652, 659, 602, 497, 371, 257, 183, 168, 217, 322, 455, 583, 673, 701, 659, 560, 427, 289, 171, 87, 34, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 8, 37, 90, 167, 266, 374, 469, 531, 549, 521, 452, 358, 264, 195, 176, 217, 314, 447, 582, 681, 716, 680, 583, 456, 334, 252, 230, 271, 360, 473, 578, 648, 666, 627, 540, 422, 294, 181, 97, 41, 10, 0, 0, 0, 0, 0, 0, 0, 0, 21, 66, 142, 251, 392, 536, 654, 723, 726, 661, 544, 402, 263, 150, 72, 27, 7, 0, 0, 0, 0, 0, 1, 22, 69, 147, 254, 383, 502, 583, 604, 559, 459, 332, 215, 140, 130, 189, 304, 444, 576, 667, 695, 656, 561, 431, 293, 176, 90, 35, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 29, 91, 185, 302, 437, 551, 617, 622, 566, 463, 335, 213, 115, 47, 10, 0, 0, 0, 0, 0, 0, 0, 13, 62, 145, 257, 387, 516, 605, 638, 610, 531, 421, 302, 190, 106, 50, 17, 1, 0, 0, 2, 3, 3, 3, 3, 1, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 11, 42, 96, 175, 280, 393, 493, 559, 577, 540, 457, 344, 226, 129, 59, 17, 0, 0, 3, 6, 5, 5, 5, 3, 0, 19, 66, 140, 242, 368, 488, 576, 613, 589, 509, 392, 265, 156, 74, 24, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 55, 114, 186, 270, 344, 393, 408, 389, 340, 269, 187, 117, 61, 22, 1, 0, 0, 0, 0, 0, 0, 0, 0, 19, 63, 140, 249, 388, 526, 634, 687, 671, 591, 471, 346, 254, 219, 251, 340, 460, 582, 677, 725, 714, 649, 543, 415, 285, 172, 91, 38, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 58, 139, 249, 380, 512, 606, 644, 621, 544, 434, 313, 201, 113, 54, 19, 3, 0, 0, 0, 1, 5, 9, 12, 14, 13, 11, 6, 2, 0, 0, 0, 0, 0, 0, 6, 29, 71, 133, 215, 311, 400, 468, 499, 487, 429, 337, 230, 139, 67, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 3, 4, 5, 6, 5, 3, 2, 1, 0, 0, 2, 5, 7, 8, 7, 6, 3, 3, 4, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 8, 8, 6, 3, 1, 0, 0, 1, 2, 3, 3, 2, 2, 3, 3, 4, 4, 3, 2, 1, 2, 3, 3, 3, 3, 2, 0, 0, 0, 1, 3, 7, 10, 12, 11, 9, 6, 4, 5, 12, 17, 19, 18, 15, 9, 3, 1, 5, 8, 7, 7, 7, 3, 0, 26, 81, 166, 280, 422, 556, 658, 707, 693, 620, 503, 366, 233, 130, 59, 18, 1, 3, 9, 13, 16, 19, 16, 11, 7, 5, 6, 7, 6, 6, 5, 1, 0, 0, 0, 5, 29, 77, 154, 258, 380, 493, 576, 609, 586, 513, 408, 294, 192, 113, 59, 28, 12, 4, 0, 0, 0, 2, 7, 16, 28, 39, 45, 44, 36, 26, 14, 4, 0, 0, 1, 3, 6, 8, 8, 8, 6, 3, 2, 4, 8, 11, 13, 13, 11, 7, 4, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 1, 19, 56, 113, 192, 290, 382, 453, 489, 482, 435, 359, 269, 179, 106, 54, 21, 3, 1, 8, 15, 20, 22, 22, 17, 10, 3, 0, 0, 0, 0, 1, 3, 6, 9, 10, 9, 8, 5, 2, 0, 4, 13, 23, 30, 36, 34, 27, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 11, 15, 15, 14, 11, 6, 1, 0, 5, 34, 93, 181, 297, 428, 543, 617, 634, 590, 494, 370, 251, 169, 147, 195, 305, 449, 590, 691, 727, 689, 591, 456, 315, 192, 101, 44, 14, 2, 0, 0, 0, 0, 0, 0, 12, 54, 123, 217, 330, 445, 533, 578, 571, 519, 433, 336, 253, 206, 204, 251, 335, 434, 526, 589, 607, 574, 496, 390, 277, 177, 104, 58, 35, 24, 18, 13, 7, 2, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 12, 36, 79, 144, 235, 339, 441, 522, 564, 559, 508, 425, 330, 247, 198, 196, 246, 341, 461, 577, 657, 678, 630, 528, 403, 293, 232, 234, 296, 396, 504, 593, 643, 644, 597, 512, 406, 302, 229, 208, 251, 348, 470, 580, 640, 630, 551, 429, 301, 203, 160, 180, 255, 360, 467, 547, 581, 561, 493, 391, 277, 173, 94, 39, 10, 5, 8, 10, 12, 15, 15, 14, 12, 10, 7, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 10, 11, 10, 7, 6, 7, 10, 13, 14, 13, 10, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 4, 3, 1, 0, 0, 1, 4, 9, 13, 16, 15, 12, 8, 4, 3, 7, 12, 17, 20, 19, 15, 10, 5, 1, 0, 0, 0, 1, 5, 9, 13, 17, 19, 20, 21, 23, 25, 24, 21, 16, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 24, 62, 123, 212, 322, 434, 529, 586, 596, 556, 475, 371, 259, 161, 90, 41, 24, 49, 92, 128, 151, 152, 125, 86, 44, 13, 0, 0, 0, 0, 0, 0, 2, 7, 13, 21, 29, 36, 41, 42, 39, 33, 24, 16, 8, 3, 2, 4, 5, 4, 4, 3, 1, 0, 0, 2, 8, 15, 22, 28, 27, 23, 17, 9, 4, 6, 11, 15, 17, 16, 13, 8, 3, 0, 0, 3, 7, 11, 15, 16, 15, 11, 7, 4, 4, 8, 12, 14, 14, 12, 9, 6, 8, 14, 22, 29, 32, 30, 23, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 1, 7, 17, 30, 43, 55, 57, 51, 39, 26, 13, 4, 0, 1, 4, 7, 10, 11, 11, 13, 17, 24, 32, 39, 39, 33, 24, 13, 7, 9, 16, 22, 25, 26, 21, 14, 7, 2, 0, 0, 0, 0, 0, 0, 18, 60, 127, 218, 330, 440, 524, 566, 557, 499, 403, 292, 187, 104, 50, 21, 9, 6, 5, 5, 5, 8, 10, 10, 10, 8, 7, 7, 7, 7, 7, 5, 2, 0, 0, 0, 0, 3, 6, 8, 8, 8, 7, 7, 12, 20, 29, 35, 37, 34, 27, 22, 21, 25, 33, 39, 41, 37, 28, 18, 10, 6, 2, 2, 3, 2, 0, 0, 14, 58, 133, 240, 374, 513, 622, 681, 673, 602, 485, 353, 240, 175, 171, 228, 327, 442, 542, 603, 608, 559, 466, 348, 227, 130, 61, 19, 0, 5, 15, 26, 38, 52, 62, 67, 68, 63, 55, 43, 30, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 8, 14, 21, 27, 31, 31, 28, 21, 14, 8, 3, 0, 3, 8, 16, 24, 31, 35, 35, 32, 27, 22, 16, 12, 8, 4, 1, 3, 7, 10, 10, 11, 9, 6, 2, 0, 0, 1, 6, 14, 22, 28, 30, 26, 20, 11, 4, 2, 4, 4, 4, 4, 4, 4, 6, 8, 8, 7, 6, 3, 3, 6, 8, 9, 9, 7, 4, 1, 2, 6, 12, 19, 25, 28, 27, 24, 17, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 17, 53, 117, 208, 323, 446, 555, 630, 656, 626, 546, 433, 307, 190, 102, 42, 10, 0, 0, 0, 0, 0, 0, 11, 48, 113, 204, 319, 439, 536, 589, 588, 533, 438, 325, 225, 164, 160, 214, 314, 436, 548, 624, 641, 597, 500, 372, 243, 137, 61, 22, 14, 18, 17, 18, 15, 7, 3, 4, 4, 4, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 8, 41, 100, 183, 290, 409, 511, 580, 602, 574, 502, 399, 283, 177, 96, 41, 9, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 3, 2, 2, 3, 1, 0, 0, 4, 36, 98, 189, 302, 429, 532, 590, 594, 546, 458, 350, 242, 147, 80, 36, 11, 1, 4, 7, 6, 7, 7, 4, 1, 3, 6, 6, 6, 6, 5, 1, 0, 0, 2, 27, 78, 155, 255, 375, 482, 556, 581, 550, 472, 369, 270, 203, 191, 240, 335, 454, 565, 639, 657, 614, 521, 398, 277, 186, 148, 174, 255, 372, 492, 587, 632, 618, 551, 450, 336, 229, 143, 79, 39, 17, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 42, 97, 176, 279, 393, 498, 573, 602, 577, 501, 390, 274, 185, 150, 179, 266, 391, 520, 624, 679, 672, 607, 503, 386, 290, 240, 249, 310, 403, 499, 574, 607, 593, 535, 446, 338, 231, 140, 73, 28, 5, 1, 4, 5, 4, 5, 5, 15, 42, 92, 162, 253, 351, 443, 516, 555, 551, 502, 416, 307, 199, 110, 47, 12, 0, 0, 0, 0, 3, 9, 14, 16, 17, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 10, 10, 9, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 24, 65, 126, 207, 308, 406, 486, 534, 541, 504, 430, 334, 235, 147, 81, 39, 16, 5, 2, 1, 0, 0, 0, 2, 28, 78, 150, 241, 351, 448, 515, 540, 518, 454, 360, 253, 156, 83, 34, 8, 0, 0, 1, 5, 7, 7, 8, 9, 11, 14, 20, 25, 26, 22, 17, 10, 3, 0, 0, 10, 39, 90, 163, 262, 372, 473, 545, 576, 556, 489, 388, 272, 169, 90, 37, 7, 0, 0, 0, 0, 0, 0, 3, 32, 88, 168, 269, 381, 475, 532, 538, 494, 412, 310, 215, 151, 135, 174, 262, 382, 503, 597, 639, 617, 535, 414, 280, 163, 78, 27, 10, 14, 21, 26, 27, 24, 17, 9, 2, 0, 0, 1, 2, 2, 2, 2, 1, 1, 6, 12, 18, 23, 25, 23, 18, 11, 6, 2, 0, 0, 0, 0, 0, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 4, 32, 86, 168, 272, 386, 480, 533, 536, 493, 420, 341, 274, 236, 235, 272, 343, 434, 525, 595, 624, 603, 532, 427, 307, 194, 109, 51, 16, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 3, 8, 15, 21, 26, 26, 21, 15, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 35, 92, 174, 277, 391, 489, 553, 573, 548, 485, 396, 295, 197, 117, 59, 22, 3, 0, 0, 0, 0, 3, 21, 54, 106, 182, 280, 386, 488, 570, 614, 612, 561, 471, 359, 243, 146, 75, 30, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 6, 12, 30, 68, 130, 215, 311, 401, 462, 478, 445, 373, 281, 197, 144, 141, 190, 280, 391, 493, 564, 586, 555, 479, 376, 266, 165, 90, 41, 13, 0, 0, 0, 0, 0, 2, 3, 4, 8, 12, 15, 17, 17, 15, 11, 6, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 31, 73, 135, 217, 311, 404, 484, 536, 551, 523, 457, 372, 292, 244, 246, 300, 389, 484, 556, 584, 563, 502, 416, 322, 231, 154, 93, 50, 21, 6, 1, 1, 1, 1, 1, 0, 0, 1, 4, 7, 11, 12, 12, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 12, 13, 13, 11, 7, 6, 10, 17, 23, 31, 37, 41, 43, 42, 37, 29, 20, 11, 4, 0, 3, 8, 13, 15, 15, 13, 9, 6, 6, 10, 12, 11, 11, 14, 34, 80, 153, 248, 351, 444, 509, 538, 528, 486, 424, 357, 302, 277, 290, 342, 420, 504, 569, 599, 587, 540, 471, 397, 333, 292, 282, 307, 364, 437, 507, 550, 553, 514, 440, 348, 257, 177, 116, 73, 48, 36, 33, 33, 30, 26, 19, 10, 7, 15, 26, 35, 40, 39, 31, 21, 14, 11, 12, 16, 19, 20, 21, 20, 18, 14, 11, 7, 4, 2, 1, 1, 2, 5, 8, 11, 12, 11, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 9, 10, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 19, 32, 44, 52, 53, 46, 34, 22, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 13, 18, 21, 19, 16, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 27, 69, 131, 213, 307, 396, 466, 507, 513, 482, 420, 336, 243, 157, 88, 40, 12, 1, 0, 3, 8, 14, 18, 20, 17, 13, 7, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 21, 31, 38, 40, 33, 24, 14, 4, 0, 2, 4, 4, 4, 5, 6, 9, 14, 16, 16, 14, 10, 4, 0, 1, 4, 11, 28, 62, 113, 180, 256, 331, 393, 435, 451, 443, 412, 368, 320, 283, 267, 285, 336, 412, 495, 564, 598, 583, 521, 420, 301, 190, 102, 42, 11, 5, 7, 6, 6, 6, 2, 0, 14, 41, 87, 155, 248, 352, 454, 536, 582, 582, 534, 450, 350, 257, 193, 175, 205, 275, 368, 460, 531, 565, 556, 508, 431, 338, 242, 154, 88, 41, 13, 0, 0, 0, 0, 0, 0, 0, 14, 51, 112, 195, 294, 386, 451, 478, 464, 417, 350, 273, 197, 127, 77, 38, 13, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 33, 78, 141, 222, 312, 397, 464, 501, 502, 466, 398, 310, 219, 138, 75, 36, 15, 6, 2, 1, 1, 0, 4, 28, 75, 145, 237, 343, 440, 512, 545, 536, 489, 417, 331, 246, 170, 107, 63, 33, 13, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 4, 2, 0, 0, 2, 14, 36, 70, 116, 172, 226, 268, 291, 292, 275, 242, 202, 162, 126, 93, 64, 40, 22, 9, 4, 3, 4, 3, 4, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 17, 27, 35, 37, 32, 24, 14, 6, 5, 10, 13, 14, 14, 12, 12, 13, 16, 18, 16, 13, 9, 3, 3, 9, 14, 17, 18, 16, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 14, 23, 29, 30, 27, 20, 11, 5, 11, 23, 33, 39, 40, 34, 23, 14, 12, 16, 19, 18, 18, 13, 6, 0, 0, 8, 34, 78, 140, 219, 306, 384, 442, 472, 472, 443, 392, 326, 256, 192, 139, 100, 74, 60, 53, 48, 45, 41, 35, 28, 20, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 8, 9, 7, 5, 3, 1, 0, 1, 7, 14, 20, 24, 27, 26, 26, 29, 33, 34, 30, 26, 18, 8, 1, 24, 69, 138, 230, 341, 445, 522, 563, 561, 519, 449, 367, 286, 215, 157, 111, 73, 46, 25, 10, 7, 18, 30, 38, 42, 38, 29, 16, 5, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 5, 7, 7, 8, 7, 4, 2, 11, 25, 42, 63, 90, 120, 154, 193, 234, 274, 305, 323, 324, 307, 272, 223, 164, 108, 62, 27, 9, 7, 12, 14, 13, 12, 9, 3, 3, 10, 16, 18, 17, 16, 11, 12, 19, 32, 41, 46, 43, 33, 21, 11, 7, 9, 15, 20, 23, 22, 18, 12, 7, 3, 0, 0, 0, 0, 2, 11, 25, 40, 58, 80, 105, 135, 173, 212, 249, 274, 283, 278, 262, 240, 212, 178, 136, 95, 58, 26, 5, 3, 10, 18, 26, 35, 44, 50, 53, 52, 45, 35, 24, 13, 4, 0, 0, 0, 0, 0, 0, 2, 8, 16, 22, 25, 25, 21, 15, 11, 10, 12, 13, 13, 11, 6, 2, 0, 0, 2, 9, 17, 25, 30, 29, 24, 17, 8, 2, 0, 0, 3, 9, 17, 24, 31, 37, 43, 52, 71, 102, 148, 206, 271, 333, 381, 405, 395, 355, 288, 209, 133, 73, 31, 15, 18, 28, 34, 37, 33, 24, 13, 4, 0, 5, 13, 21, 25, 28, 24, 18, 10, 3, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 25, 32, 35, 32, 25, 16, 8, 2, 0, 0, 0, 0, 0, 3, 11, 27, 53, 93, 146, 211, 285, 359, 422, 462, 466, 432, 364, 277, 188, 113, 61, 33, 21, 19, 19, 18, 14, 10, 6, 3, 0, 0, 7, 18, 29, 36, 40, 36, 27, 16, 6, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 3, 2, 3, 2, 1, 0, 0, 0, 0, 0, 17, 48, 94, 154, 226, 297, 359, 405, 433, 439, 424, 388, 340, 285, 232, 184, 140, 100, 66, 40, 19, 4, 0, 1, 3, 3, 3, 4, 5, 8, 15, 24, 33, 39, 39, 32, 24, 14, 6, 2, 6, 11, 11, 11, 11, 7, 2, 2, 15, 39, 76, 128, 195, 263, 323, 368, 395, 405, 398, 377, 342, 293, 231, 163, 102, 53, 19, 7, 13, 23, 30, 34, 31, 24, 15, 6, 6, 14, 21, 27, 31, 29, 23, 15, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 21, 32, 40, 42, 35, 26, 15, 5, 0, 4, 9, 13, 15, 16, 13, 9, 4, 1, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 12, 41, 87, 145, 213, 275, 319, 343, 349, 341, 324, 299, 268, 228, 183, 138, 97, 63, 40, 26, 21, 23, 30, 37, 42, 39, 32, 21, 11, 2, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 7, 18, 33, 47, 60, 65, 60, 46, 31, 17, 6, 0, 0, 0, 2, 7, 14, 20, 23, 22, 19, 12, 5, 3, 6, 7, 6, 7, 5, 2, 0, 10, 34, 73, 127, 198, 274, 346, 404, 441, 448, 428, 381, 317, 244, 173, 111, 64, 31, 12, 3, 0, 0, 0, 2, 6, 13, 21, 31, 41, 48, 49, 45, 35, 24, 16, 16, 26, 46, 74, 113, 163, 227, 301, 375, 436, 467, 462, 424, 363, 293, 226, 167, 119, 79, 48, 25, 10, 2, 1, 5, 9, 15, 22, 27, 30, 30, 26, 19, 13, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 8, 8, 7, 5, 2, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 2, 10, 22, 34, 41, 39, 34, 24, 11, 7, 23, 50, 86, 131, 183, 232, 275, 307, 324, 325, 311, 293, 279, 279, 296, 329, 372, 417, 454, 476, 480, 465, 433, 387, 332, 270, 205, 140, 87, 46, 17, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 20, 25, 25, 21, 15, 8, 2, 2, 6, 10, 13, 14, 12, 9, 4, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 3, 7, 12, 18, 28, 45, 75, 121, 183, 256, 329, 388, 424, 432, 415, 379, 336, 297, 270, 261, 276, 309, 352, 396, 428, 441, 433, 408, 373, 339, 316, 309, 321, 349, 385, 418, 435, 428, 398, 349, 291, 235, 185, 143, 104, 70, 43, 21, 6, 0, 0, 0, 0, 0, 2, 6, 10, 14, 16, 15, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 17, 39, 75, 127, 191, 258, 318, 363, 385, 384, 362, 326, 283, 236, 188, 138, 92, 55, 28, 9, 0, 0, 10, 30, 61, 107, 172, 242, 314, 377, 424, 444, 439, 412, 371, 329, 296, 278, 278, 292, 318, 349, 380, 405, 418, 413, 389, 343, 281, 209, 137, 81, 39, 13, 0, 0, 0, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 0, 0, 0, 6, 21, 46, 78, 118, 166, 218, 271, 325, 372, 406, 417, 403, 365, 312, 254, 199, 152, 114, 80, 53, 32, 16, 4, 0, 6, 21, 40, 66, 106, 158, 220, 291, 363, 421, 454, 458, 434, 394, 352, 323, 311, 318, 339, 368, 397, 422, 437, 436, 417, 381, 331, 275, 219, 168, 121, 79, 51, 28, 10, 0, 0, 5, 13, 31, 65, 117, 184, 260, 336, 400, 444, 467, 469, 450, 411, 353, 280, 199, 126, 67, 27, 7, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 28, 48, 81, 124, 179, 241, 299, 341, 360, 354, 328, 291, 251, 211, 171, 130, 89, 56, 28, 8, 0, 2, 7, 11, 12, 12, 11, 7, 2, 0, 2, 1, 1, 1, 3, 15, 44, 89, 147, 215, 282, 341, 388, 423, 444, 448, 434, 402, 356, 309, 277, 269, 292, 336, 388, 430, 453, 454, 435, 404, 366, 331, 301, 286, 290, 315, 356, 404, 443, 462, 455, 424, 377, 330, 298, 288, 306, 344, 391, 433, 455, 454, 429, 385, 330, 268, 205, 141, 90, 48, 19, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 17, 35, 62, 102, 149, 202, 255, 300, 333, 350, 348, 330, 300, 267, 240, 231, 248, 288, 344, 400, 442, 456, 440, 395, 332, 259, 186, 119, 69, 34, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 18, 24, 33, 47, 70, 109, 165, 234, 303, 360, 395, 401, 382, 345, 302, 265, 245, 250, 282, 335, 401, 464, 511, 529, 514, 470, 412, 354, 313, 299, 308, 331, 360, 384, 401, 411, 417, 418, 412, 395, 366, 332, 304, 295, 310, 346, 390, 427, 440, 424, 380, 319, 250, 186, 131, 87, 53, 30, 15, 6, 1, 0, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 1, 4, 9, 13, 16, 16, 13, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 5, 3, 0, 0, 0, 9, 26, 53, 90, 143, 204, 268, 329, 377, 406, 410, 386, 341, 281, 218, 158, 107, 68, 41, 23, 14, 10, 11, 15, 19, 22, 21, 17, 12, 7, 2, 0, 0, 0, 0, 0, 4, 17, 41, 75, 120, 175, 232, 288, 340, 383, 412, 424, 417, 393, 357, 319, 291, 281, 293, 325, 368, 411, 440, 448, 432, 396, 350, 306, 277, 271, 286, 317, 353, 385, 405, 412, 402, 376, 335, 281, 218, 154, 99, 58, 31, 15, 9, 6, 4, 9, 30, 63, 105, 156, 211, 263, 310, 348, 371, 371, 344, 294, 231, 167, 116, 80, 59, 45, 35, 24, 14, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 13, 37, 78, 135, 204, 271, 327, 360, 372, 364, 345, 324, 310, 305, 309, 324, 347, 376, 407, 434, 449, 447, 424, 381, 320, 248, 172, 108, 59, 24, 4, 0, 0, 0, 1, 14, 38, 77, 129, 192, 252, 303, 342, 368, 381, 382, 367, 334, 285, 223, 157, 96, 50, 21, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 13, 22, 32, 42, 51, 59, 70, 93, 133, 191, 260, 324, 367, 378, 356, 313, 261, 211, 167, 130, 95, 63, 38, 17, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 17, 30, 48, 71, 100, 136, 180, 227, 271, 304, 320, 317, 299, 267, 227, 181, 131, 88, 52, 23, 4, 0, 0, 0, 9, 32, 68, 116, 174, 233, 285, 326, 355, 372, 373, 360, 333, 298, 266, 249, 257, 292, 348, 410, 461, 487, 481, 449, 402, 356, 323, 311, 317, 338, 366, 391, 409, 416, 407, 381, 339, 282, 219, 160, 109, 71, 45, 28, 18, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 14, 24, 36, 54, 75, 104, 141, 185, 229, 268, 294, 306, 306, 298, 286, 276, 273, 277, 290, 312, 336, 360, 377, 383, 374, 348, 304, 243, 171, 110, 58, 20, 4, 18, 31, 41, 46, 43, 33, 20, 7, 1, 5, 10, 12, 12, 12, 8, 4, 0, 0, 1, 1, 1, 1, 0, 1, 3, 4, 4, 5, 3, 2, 0, 0, 0, 0, 3, 9, 17, 24, 28, 26, 22, 15, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 11, 10, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 3, 2, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 3, 3, 3, 3, 3, 2, 19, 52, 96, 148, 208, 262, 306, 340, 362, 372, 367, 343, 300, 241, 174, 112, 63, 27, 6, 6, 17, 28, 36, 42, 39, 31, 24, 21, 24, 31, 35, 34, 29, 21, 10, 4, 7, 13, 17, 19, 18, 15, 9, 3, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 17, 36, 65, 106, 153, 201, 248, 287, 314, 324, 318, 295, 261, 221, 181, 146, 115, 88, 63, 42, 25, 10, 1, 0, 0, 0, 0, 0, 0, 0, 5, 11, 18, 23, 30, 34, 43, 60, 88, 130, 184, 241, 293, 332, 352, 350, 329, 295, 253, 210, 169, 135, 105, 81, 60, 42, 27, 16, 8, 2, 0, 6, 25, 63, 117, 184, 252, 309, 346, 362, 359, 346, 326, 303, 282, 265, 256, 263, 285, 319, 353, 376, 377, 350, 300, 237, 174, 123, 90, 74, 67, 62, 53, 40, 26, 14, 5, 0, 1, 3, 2, 2, 2, 2, 0, 2, 13, 29, 49, 74, 102, 128, 155, 183, 215, 250, 282, 305, 315, 310, 295, 276, 264, 269, 292, 329, 369, 399, 408, 392, 354, 301, 244, 186, 134, 88, 54, 27, 13, 9, 13, 14, 15, 13, 8, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 2, 4, 6, 9, 10, 9, 7, 5, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 7, 20, 39, 66, 100, 134, 164, 190, 210, 230, 252, 279, 306, 328, 335, 325, 302, 278, 264, 268, 287, 313, 333, 337, 323, 292, 253, 209, 169, 134, 103, 79, 60, 45, 33, 22, 14, 8, 3, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 15, 23, 33, 46, 63, 90, 126, 169, 213, 249, 269, 272, 260, 237, 205, 168, 129, 92, 59, 35, 20, 12, 8, 6, 6, 7, 8, 9, 9, 8, 6, 3, 0, 0, 0, 0, 8, 31, 64, 100, 141, 178, 209, 239, 273, 310, 343, 358, 344, 303, 242, 178, 126, 94, 79, 76, 75, 72, 65, 54, 42, 30, 20, 10, 3, 0, 0, 1, 1, 1, 1, 0, 0, 7, 31, 69, 116, 172, 232, 284, 325, 353, 368, 370, 360, 341, 320, 303, 294, 294, 303, 318, 334, 344, 347, 340, 327, 312, 302, 299, 306, 319, 334, 349, 363, 375, 382, 382, 373, 355, 335, 319, 312, 314, 329, 348, 368, 380, 381, 367, 342, 310, 283, 269, 275, 297, 329, 360, 376, 374, 352, 315, 268, 220, 175, 140, 115, 99, 88, 78, 65, 48, 32, 16, 4, 0, 0, 0, 0, 0, 0, 3, 6, 8, 9, 9, 7, 6, 4, 4, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 14, 18, 19, 17, 12, 8, 8, 12, 15, 16, 15, 12, 7, 2, 0, 0, 8, 28, 60, 102, 155, 206, 250, 281, 302, 314, 323, 330, 338, 344, 345, 343, 338, 335, 334, 334, 330, 318, 295, 260, 219, 180, 147, 123, 106, 92, 78, 63, 49, 39, 39, 49, 69, 99, 137, 183, 236, 291, 338, 362, 355, 314, 243, 165, 96, 43, 9, 10, 26, 38, 42, 42, 37, 23, 8, 13, 44, 87, 136, 191, 238, 270, 287, 292, 286, 270, 244, 211, 175, 140, 109, 82, 56, 37, 21, 9, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 8, 9, 8, 6, 3, 1, 0, 0, 1, 5, 7, 9, 9, 8, 5, 2, 2, 6, 10, 12, 12, 10, 7, 3, 2, 8, 13, 16, 18, 17, 15, 14, 18, 28, 41, 56, 71, 88, 109, 135, 170, 211, 254, 290, 315, 323, 315, 297, 276, 259, 250, 248, 249, 249, 248, 244, 236, 224, 205, 180, 149, 115, 82, 51, 30, 15, 5, 1, 7, 14, 17, 17, 17, 14, 8, 6, 11, 17, 19, 19, 16, 11, 4, 1, 9, 18, 26, 31, 32, 27, 19, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 7, 9, 9, 9, 6, 3, 0, 0, 0, 9, 33, 68, 109, 152, 187, 208, 216, 221, 229, 242, 255, 260, 246, 211, 161, 110, 68, 44, 36, 38, 39, 35, 28, 17, 6, 4, 13, 23, 31, 38, 39, 33, 23, 14, 7, 2, 1, 3, 5, 7, 9, 9, 7, 5, 3, 1, 2, 7, 12, 15, 16, 15, 11, 8, 7, 7, 7, 8, 6, 3, 2, 3, 3, 3, 3, 2, 0, 6, 18, 34, 51, 74, 97, 120, 146, 173, 198, 219, 233, 240, 239, 227, 206, 174, 133, 90, 53, 28, 19, 20, 28, 37, 43, 46, 48, 47, 42, 34, 25, 14, 5, 5, 17, 30, 40, 47, 48, 41, 32, 22, 14, 10, 8, 4, 4, 13, 27, 40, 51, 62, 72, 89, 117, 157, 200, 236, 255, 255, 238, 215, 191, 169, 149, 128, 104, 78, 55, 39, 29, 26, 26, 27, 30, 33, 36, 41, 45, 49, 50, 47, 41, 30, 21, 12, 4, 0, 0, 2, 7, 13, 18, 20, 18, 15, 9, 3, 6, 18, 34, 47, 57, 56, 46, 32, 17, 6, 9, 25, 49, 83, 126, 171, 212, 246, 267, 271, 258, 230, 192, 154, 122, 100, 86, 79, 69, 55, 40, 24, 10, 1, 1, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 3, 10, 19, 26, 30, 28, 23, 15, 7, 1, 1, 4, 8, 11, 11, 11, 8, 4, 1, 0, 2, 14, 35, 62, 95, 131, 165, 195, 221, 243, 260, 271, 275, 274, 270, 266, 264, 264, 268, 275, 286, 296, 304, 304, 294, 274, 247, 214, 181, 148, 116, 84, 55, 33, 16, 7, 8, 19, 30, 40, 50, 59, 73, 96, 129, 169, 205, 229, 238, 233, 223, 218, 223, 233, 240, 238, 226, 206, 188, 179, 178, 182, 185, 180, 165, 141, 114, 87, 66, 51, 41, 36, 32, 25, 19, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 10, 12, 15, 16, 18, 16, 14, 10, 5, 3, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 7, 27, 59, 101, 149, 191, 219, 227, 219, 199, 177, 155, 136, 120, 106, 94, 83, 71, 58, 43, 30, 18, 7, 0, 0, 0, 1, 5, 11, 19, 27, 31, 28, 23, 16, 9, 14, 31, 55, 86, 124, 161, 195, 224, 246, 256, 255, 243, 230, 219, 218, 225, 237, 248, 255, 260, 268, 282, 299, 313, 315, 301, 273, 244, 225, 225, 242, 265, 280, 277, 255, 217, 175, 136, 105, 79, 56, 37, 22, 9, 1, 8, 22, 42, 69, 104, 140, 174, 205, 232, 251, 263, 269, 272, 276, 280, 284, 285, 279, 268, 254, 246, 247, 256, 268, 276, 270, 254, 234, 221, 225, 246, 279, 312, 335, 340, 327, 299, 260, 213, 162, 111, 69, 35, 11, 6, 13, 17, 18, 19, 15, 11, 11, 18, 26, 33, 36, 34, 27, 20, 15, 18, 28, 48, 74, 105, 133, 157, 174, 187, 199, 212, 224, 232, 233, 229, 223, 221, 230, 248, 270, 286, 291, 280, 258, 227, 196, 165, 134, 101, 69, 43, 21, 6, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 13, 18, 20, 20, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 16, 26, 32, 35, 30, 23, 13, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 18, 30, 46, 67, 97, 135, 177, 218, 253, 277, 290, 294, 294, 291, 288, 284, 278, 272, 270, 272, 277, 281, 277, 261, 231, 194, 154, 118, 88, 64, 48, 41, 42, 52, 66, 78, 84, 83, 78, 78, 89, 113, 145, 179, 210, 232, 243, 245, 238, 226, 211, 199, 197, 206, 225, 247, 264, 272, 269, 257, 240, 221, 201, 182, 161, 139, 114, 88, 61, 39, 21, 7, 0, 0, 4, 9, 14, 17, 18, 15, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 9, 11, 10, 8, 6, 2, 0, 4, 15, 29, 40, 46, 43, 36, 23, 10, 10, 24, 39, 53, 69, 84, 102, 126, 156, 186, 209, 219, 217, 211, 209, 219, 244, 274, 300, 310, 299, 270, 232, 197, 176, 169, 170, 174, 170, 155, 133, 106, 79, 56, 36, 22, 12, 4, 0, 0, 5, 11, 16, 19, 20, 17, 12, 6, 1, 0, 0, 0, 0, 3, 7, 12, 15, 16, 14, 10, 6, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 4, 11, 26, 53, 89, 129, 164, 191, 202, 201, 193, 182, 172, 163, 154, 139, 118, 92, 69, 53, 45, 47, 55, 64, 73, 83, 99, 125, 163, 208, 250, 277, 283, 270, 247, 229, 227, 242, 267, 284, 284, 258, 215, 170, 137, 123, 128, 140, 146, 138, 116, 83, 52, 28, 16, 17, 28, 42, 60, 79, 98, 115, 129, 139, 147, 156, 167, 182, 200, 214, 220, 213, 190, 151, 107, 68, 34, 10, 0, 6, 12, 16, 18, 19, 15, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 12, 21, 27, 35, 43, 56, 77, 107, 141, 173, 197, 208, 206, 193, 172, 146, 119, 92, 67, 45, 27, 16, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 21, 32, 40, 45, 50, 60, 76, 102, 133, 162, 182, 188, 180, 170, 163, 167, 183, 206, 230, 246, 252, 251, 245, 238, 233, 229, 224, 215, 197, 170, 136, 99, 64, 36, 17, 5, 0, 0, 0, 0, 0, 0, 0, 2, 7, 10, 10, 10, 9, 5, 3, 16, 39, 65, 95, 127, 153, 171, 181, 184, 177, 161, 139, 114, 91, 73, 61, 50, 39, 28, 18, 10, 5, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 15, 28, 41, 55, 62, 66, 70, 80, 98, 121, 143, 157, 159, 152, 144, 145, 158, 182, 213, 243, 268, 286, 297, 299, 294, 280, 260, 237, 220, 212, 216, 231, 251, 269, 277, 274, 259, 238, 216, 197, 183, 169, 152, 131, 106, 81, 58, 41, 27, 18, 11, 6, 1, 0, 2, 9, 18, 26, 31, 32, 29, 26, 28, 37, 52, 68, 80, 89, 98, 112, 133, 159, 184, 201, 206, 201, 192, 187, 188, 196, 207, 219, 230, 240, 250, 257, 258, 248, 225, 194, 159, 128, 101, 80, 59, 42, 27, 12, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 0, 0, 3, 14, 34, 63, 99, 134, 161, 176, 179, 175, 170, 171, 179, 192, 207, 219, 226, 227, 224, 218, 211, 204, 198, 193, 185, 174, 155, 127, 92, 60, 33, 15, 15, 33, 57, 83, 110, 129, 139, 143, 144, 143, 143, 145, 150, 158, 167, 172, 167, 147, 112, 77, 44, 17, 8, 20, 36, 50, 64, 75, 83, 95, 114, 141, 172, 199, 217, 221, 210, 185, 151, 113, 77, 48, 29, 21, 19, 20, 22, 25, 29, 35, 43, 49, 49, 41, 32, 19, 7, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 15, 37, 65, 97, 132, 158, 175, 184, 185, 183, 180, 177, 175, 178, 186, 201, 221, 242, 259, 267, 261, 242, 212, 182, 157, 143, 137, 135, 127, 107, 80, 52, 28, 21, 31, 48, 59, 65, 56, 42, 24, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 16, 28, 43, 62, 83, 107, 131, 154, 172, 181, 182, 175, 165, 160, 164, 178, 199, 222, 239, 248, 249, 244, 236, 224, 207, 180, 144, 104, 68, 43, 33, 36, 45, 52, 49, 40, 28, 14, 3, 1, 4, 7, 9, 10, 9, 7, 4, 3, 5, 10, 17, 26, 38, 54, 71, 90, 106, 115, 113, 101, 84, 66, 53, 48, 49, 50, 49, 44, 38, 31, 25, 21, 18, 15, 11, 7, 4, 3, 2, 2, 2, 3, 3, 3, 3, 1, 3, 12, 22, 31, 38, 38, 31, 22, 12, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 13, 28, 46, 68, 87, 101, 108, 109, 111, 116, 128, 148, 171, 191, 202, 202, 195, 186, 186, 197, 219, 245, 266, 275, 271, 256, 233, 207, 178, 148, 117, 85, 56, 33, 16, 6, 5, 13, 26, 39, 51, 55, 48, 37, 23, 10, 1, 0, 0, 0, 2, 11, 25, 40, 52, 57, 52, 40, 25, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1, 1, 1, 1, 0, 3, 22, 54, 93, 134, 171, 192, 191, 179, 164, 155, 152, 157, 161, 160, 148, 126, 97, 66, 40, 20, 7, 1, 6, 12, 17, 19, 20, 16, 11, 8, 8, 10, 13, 13, 11, 7, 4, 0, 0, 0, 0, 1, 1, 1, 1, 5, 15, 32, 57, 87, 116, 141, 161, 178, 194, 208, 221, 229, 230, 226, 221, 219, 223, 233, 243, 247, 241, 225, 202, 177, 155, 137, 124, 112, 99, 84, 67, 51, 37, 27, 25, 31, 44, 62, 83, 104, 127, 149, 169, 185, 197, 200, 198, 191, 183, 174, 162, 148, 127, 101, 71, 45, 24, 10, 1, 0, 0, 8, 19, 30, 39, 45, 40, 31, 20, 9, 1, 1, 3, 4, 4, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 15, 16, 15, 12, 7, 2, 2, 5, 6, 7, 7, 6, 3, 1, 0, 0, 6, 16, 28, 40, 56, 72, 90, 114, 142, 169, 189, 195, 183, 159, 131, 105, 89, 82, 80, 79, 74, 65, 56, 50, 50, 58, 71, 85, 98, 110, 123, 141, 165, 191, 211, 217, 203, 171, 130, 90, 59, 44, 41, 46, 53, 60, 65, 65, 60, 50, 37, 24, 14, 12, 17, 19, 19, 18, 13, 8, 20, 48, 82, 117, 147, 159, 154, 140, 129, 130, 147, 175, 199, 209, 198, 167, 125, 84, 53, 38, 38, 46, 57, 65, 68, 66, 63, 65, 73, 89, 111, 132, 149, 160, 164, 160, 151, 136, 115, 91, 68, 51, 43, 42, 45, 45, 40, 30, 19, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 4, 2, 1, 2, 4, 6, 7, 8, 7, 5, 3, 2, 0, 0, 0, 1, 6, 12, 20, 30, 44, 61, 81, 102, 121, 136, 144, 148, 150, 151, 152, 152, 153, 153, 157, 165, 179, 194, 207, 216, 219, 218, 216, 215, 215, 216, 217, 218, 218, 217, 214, 212, 210, 207, 202, 193, 177, 155, 128, 100, 73, 50, 32, 19, 11, 9, 13, 22, 31, 40, 43, 42, 36, 28, 18, 11, 6, 3, 7, 18, 32, 47, 64, 79, 92, 103, 113, 118, 118, 114, 107, 103, 108, 121, 142, 166, 187, 199, 202, 198, 191, 188, 194, 208, 227, 242, 243, 222, 179, 127, 79, 36, 12, 14, 25, 32, 35, 33, 26, 14, 4, 0, 0, 2, 4, 7, 8, 8, 6, 5, 2, 0, 1, 1, 1, 1, 1, 2, 7, 14, 19, 21, 19, 16, 10, 5, 7, 14, 20, 23, 22, 18, 12, 5, 0, 0, 0, 0, 2, 9, 19, 28, 35, 37, 31, 23, 13, 4, 0, 0, 0, 0, 0, 0, 3, 6, 8, 9, 9, 7, 4, 1, 0, 2, 7, 12, 16, 18, 16, 12, 7, 3, 0, 0, 0, 0, 0, 2, 12, 25, 38, 48, 51, 44, 33, 20, 7, 0, 0, 0, 0, 3, 13, 32, 59, 92, 121, 141, 146, 137, 120, 104, 96, 95, 101, 105, 103, 93, 75, 54, 34, 19, 9, 3, 0, 0, 0, 1, 5, 8, 12, 13, 12, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 1, 0, 9, 29, 53, 76, 92, 91, 75, 54, 29, 8, 7, 28, 58, 94, 134, 172, 198, 214, 221, 223, 219, 211, 198, 182, 170, 165, 172, 186, 206, 219, 222, 211, 191, 169, 151, 142, 143, 152, 162, 173, 183, 190, 197, 200, 198, 186, 164, 129, 91, 56, 28, 8, 3, 13, 23, 30, 33, 30, 23, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 18, 31, 47, 67, 88, 111, 132, 148, 156, 155, 148, 141, 139, 148, 162, 176, 182, 178, 163, 144, 126, 115, 113, 117, 124, 132, 138, 143, 146, 148, 147, 145, 139, 132, 123, 112, 100, 85, 67, 47, 30, 16, 5, 0, 0, 0, 1, 5, 11, 15, 19, 19, 15, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 13, 22, 31, 43, 54, 67, 87, 110, 134, 153, 166, 170, 168, 165, 160, 153, 142, 126, 110, 98, 100, 118, 151, 190, 225, 246, 248, 231, 201, 167, 135, 110, 94, 85, 79, 74, 66, 54, 39, 26, 14, 4, 1, 7, 16, 25, 37, 51, 63, 75, 88, 102, 116, 132, 146, 155, 157, 151, 134, 111, 88, 69, 57, 51, 49, 46, 40, 31, 20, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 11, 10, 10, 8, 3, 7, 22, 42, 62, 82, 93, 92, 81, 65, 48, 32, 21, 12, 7, 6, 9, 15, 21, 26, 29, 29, 30, 32, 39, 51, 66, 82, 97, 111, 122, 135, 147, 161, 173, 181, 178, 165, 141, 111, 80, 55, 41, 41, 54, 75, 94, 104, 100, 80, 57, 33, 13, 2, 8, 16, 23, 28, 30, 28, 26, 30, 39, 55, 70, 81, 83, 81, 78, 82, 98, 124, 154, 180, 192, 185, 163, 130, 97, 71, 56, 52, 54, 57, 54, 46, 33, 21, 10, 2, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 4, 17, 36, 60, 86, 109, 123, 127, 121, 112, 103, 97, 95, 97, 100, 103, 104, 105, 108, 112, 118, 126, 132, 137, 139, 140, 143, 149, 157, 167, 174, 173, 165, 149, 130, 112, 101, 102, 115, 135, 157, 175, 180, 173, 156, 134, 116, 105, 103, 106, 107, 101, 85, 62, 41, 21, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 14, 25, 38, 51, 62, 70, 78, 86, 96, 108, 120, 126, 123, 108, 84, 58, 34, 14, 3, 0, 0, 0, 2, 6, 12, 17, 23, 27, 32, 38, 49, 64, 83, 102, 120, 132, 139, 139, 137, 135, 139, 151, 171, 196, 218, 232, 232, 215, 188, 159, 134, 120, 119, 127, 138, 149, 156, 158, 153, 143, 125, 101, 76, 53, 36, 27, 23, 21, 18, 15, 9, 4, 0, 3, 10, 18, 27, 38, 47, 55, 60, 62, 60, 55, 47, 40, 37, 37, 40, 42, 40, 32, 23, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 13, 26, 42, 61, 77, 86, 87, 83, 76, 74, 78, 88, 99, 102, 92, 72, 49, 26, 8, 6, 22, 43, 66, 88, 105, 111, 111, 110, 115, 129, 149, 171, 187, 193, 187, 171, 152, 135, 129, 135, 152, 174, 194, 203, 199, 179, 150, 121, 101, 94, 101, 113, 120, 110, 88, 63, 34, 17, 31, 68, 112, 157, 198, 218, 218, 203, 180, 155, 135, 122, 115, 113, 112, 111, 108, 105, 104, 105, 107, 106, 97, 80, 58, 36, 17, 4, 3, 6, 7, 6, 7, 5, 2, 0, 0, 0, 0, 1, 2, 2, 2, 1, 1, 0, 10, 28, 54, 87, 122, 151, 168, 173, 168, 159, 150, 143, 139, 137, 136, 136, 136, 137, 138, 140, 143, 145, 149, 152, 154, 152, 147, 138, 131, 130, 140, 160, 183, 202, 206, 189, 154, 109, 67, 37, 32, 51, 90, 135, 178, 207, 216, 204, 177, 138, 97, 61, 33, 14, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 6, 7, 6, 3, 1, 4, 18, 41, 66, 90, 107, 110, 99, 83, 66, 57, 55, 59, 63, 65, 61, 54, 46, 40, 39, 43, 53, 64, 74, 82, 86, 88, 89, 93, 101, 112, 125, 136, 142, 141, 134, 123, 113, 107, 107, 112, 121, 133, 145, 158, 172, 187, 201, 214, 220, 217, 205, 184, 158, 134, 113, 99, 91, 87, 84, 81, 76, 69, 61, 51, 43, 35, 32, 32, 35, 41, 47, 51, 54, 54, 55, 56, 59, 62, 67, 75, 88, 106, 124, 136, 137, 120, 91, 61, 32, 10, 2, 11, 21, 27, 31, 30, 23, 14, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 11, 16, 20, 24, 28, 34, 45, 65, 93, 122, 145, 152, 139, 110, 75, 42, 20, 12, 16, 19, 21, 19, 15, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 19, 35, 57, 83, 112, 140, 164, 181, 189, 187, 176, 159, 138, 117, 100, 88, 84, 89, 105, 128, 153, 174, 183, 176, 151, 114, 76, 42, 17, 10, 16, 27, 38, 49, 56, 61, 68, 79, 92, 102, 106, 98, 81, 62, 48, 47, 62, 90, 124, 157, 182, 196, 200, 198, 195, 196, 203, 215, 227, 235, 232, 214, 184, 150, 122, 110, 121, 151, 190, 224, 239, 228, 195, 154, 120, 108, 124, 159, 200, 234, 250, 249, 237, 227, 223, 227, 231, 228, 211, 183, 152, 127, 115, 121, 137, 153, 160, 152, 128, 95, 61, 39, 31, 41, 61, 83, 98, 101, 88, 65, 42, 22, 7, 0, 0, 3, 15, 32, 49, 65, 72, 67, 51, 34, 17, 4, 1, 8, 21, 37, 56, 77, 92, 100, 101, 98, 93, 86, 79, 70, 58, 43, 29, 17, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 3, 9, 13, 16, 16, 14, 10, 4, 0, 7, 19, 33, 45, 56, 59, 58, 58, 63, 75, 89, 99, 99, 89, 69, 46, 26, 12, 3, 0, 0, 2, 14, 35, 63, 96, 126, 141, 137, 116, 85, 54, 35, 31, 42, 59, 73, 78, 68, 51, 33, 16, 4, 4, 14, 25, 33, 38, 36, 28, 18, 8, 1, 0, 0, 0, 0, 0, 3, 16, 39, 68, 99, 125, 134, 125, 100, 69, 39, 16, 3, 2, 7, 13, 21, 31, 42, 54, 66, 78, 87, 93, 91, 84, 74, 64, 58, 61, 73, 92, 114, 136, 152, 162, 167, 168, 167, 166, 163, 158, 149, 133, 111, 89, 70, 60, 62, 74, 93, 113, 125, 126, 114, 91, 63, 38, 18, 5, 0, 0, 0, 0, 0, 0, 0, 1, 8, 19, 33, 50, 66, 76, 78, 71, 57, 40, 24, 15, 15, 24, 40, 59, 77, 93, 107, 121, 137, 153, 166, 173, 169, 154, 132, 107, 86, 71, 60, 49, 37, 26, 15, 6, 9, 22, 34, 42, 46, 39, 29, 16, 5, 0, 0, 0, 0, 0, 0, 7, 18, 33, 49, 63, 70, 68, 57, 42, 28, 18, 17, 24, 38, 57, 78, 98, 114, 128, 139, 147, 153, 154, 152, 146, 137, 129, 125, 129, 140, 154, 168, 178, 182, 182, 177, 173, 168, 161, 152, 139, 121, 99, 80, 67, 63, 65, 72, 76, 74, 65, 54, 47, 53, 70, 95, 115, 121, 109, 84, 55, 33, 28, 40, 60, 75, 79, 68, 51, 30, 15, 14, 25, 35, 43, 42, 35, 24, 12, 2, 3, 14, 29, 42, 53, 55, 47, 34, 20, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 15, 23, 30, 34, 33, 28, 23, 20, 22, 29, 42, 57, 71, 80, 79, 69, 52, 34, 24, 27, 45, 76, 111, 140, 158, 159, 148, 131, 112, 96, 85, 76, 65, 54, 43, 35, 32, 35, 43, 52, 59, 59, 52, 40, 26, 14, 6, 7, 15, 27, 37, 46, 48, 41, 30, 19, 8, 1, 0, 5, 21, 44, 71, 98, 117, 120, 107, 83, 56, 36, 25, 25, 31, 36, 36, 30, 22, 12, 4, 0, 6, 20, 39, 57, 72, 78, 70, 55, 38, 27, 25, 33, 43, 50, 47, 38, 26, 14, 5, 11, 26, 43, 58, 71, 72, 65, 51, 37, 25, 18, 14, 12, 9, 7, 5, 2, 0, 0, 0, 0, 1, 3, 4, 5, 5, 4, 2, 1, 0, 0, 0, 0, 1, 5, 9, 12, 14, 13, 10, 6, 2, 0, 0, 2, 6, 12, 19, 28, 36, 40, 40, 36, 27, 18, 10, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 14, 25, 35, 43, 45, 40, 34, 31, 36, 49, 65, 78, 83, 75, 60, 42, 33, 39, 59, 87, 114, 127, 122, 98, 69, 39, 16, 2, 0, 3, 8, 14, 19, 22, 21, 16, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 21, 31, 39, 42, 38, 30, 21, 19, 26, 42, 63, 83, 95, 95, 84, 69, 52, 39, 32, 29, 26, 20, 16, 9, 3, 0, 0, 0, 1, 3, 4, 5, 4, 3, 2, 1, 0, 0, 1, 4, 7, 11, 16, 18, 20, 18, 14, 10, 6, 2, 2, 9, 21, 36, 54, 71, 86, 97, 107, 118, 135, 155, 175, 190, 194, 182, 158, 125, 94, 72, 68, 80, 107, 136, 159, 165, 151, 118, 82, 47, 20, 13, 28, 52, 76, 100, 114, 111, 95, 71, 46, 25, 10, 1, 5, 17, 32, 48, 65, 76, 81, 81, 80, 82, 89, 98, 105, 109, 105, 94, 78, 62, 47, 37, 31, 30, 33, 42, 54, 67, 76, 77, 69, 53, 36, 22, 21, 31, 51, 73, 91, 99, 96, 83, 64, 43, 26, 13, 5, 1, 0, 0, 1, 3, 6, 9, 12, 12, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 19, 31, 43, 51, 53, 51, 48, 50, 60, 76, 96, 114, 124, 126, 119, 105, 88, 69, 51, 34, 21, 14, 16, 28, 45, 63, 78, 86, 86, 81, 74, 69, 67, 67, 69, 67, 61, 52, 39, 26, 15, 7, 3, 6, 14, 26, 40, 55, 69, 81, 91, 98, 103, 104, 103, 98, 92, 87, 86, 89, 96, 104, 107, 103, 88, 66, 44, 24, 9, 0, 0, 0, 0, 0, 0, 0, 4, 9, 14, 18, 19, 17, 12, 7, 2, 0, 0, 0, 0, 0, 0, 0, 2, 10, 22, 35, 48, 61, 69, 74, 77, 80, 83, 86, 89, 90, 91, 92, 95, 100, 106, 112, 116, 114, 106, 91, 72, 54, 41, 41, 55, 80, 108, 131, 140, 133, 112, 85, 62, 48, 44, 48, 53, 53, 46, 34, 21, 13, 12, 15, 20, 23, 20, 15, 9, 3, 0, 0, 5, 20, 42, 65, 87, 97, 90, 70, 48, 24, 15, 31, 65, 104, 145, 176, 188, 180, 160, 137, 118, 107, 104, 104, 101, 91, 73, 52, 32, 15, 4, 3, 10, 18, 24, 29, 28, 22, 15, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 5, 5, 5, 5, 3, 1, 2, 8, 15, 21, 25, 24, 19, 13, 6, 1, 0, 0, 6, 14, 23, 31, 35, 32, 25, 16, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 10, 10, 9, 6, 3, 0, 2, 11, 21, 32, 41, 45, 40, 32, 26, 27, 39, 60, 84, 103, 115, 119, 118, 116, 119, 128, 138, 148, 150, 143, 129, 113, 97, 88, 85, 88, 93, 97, 97, 93, 84, 74, 64, 54, 43, 32, 22, 14, 6, 3, 8, 20, 35, 51, 66, 75, 77, 71, 62, 51, 41, 32, 26, 22, 20, 19, 19, 17, 15, 11, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 6, 4, 2, 0, 0, 0, 0, 0, 0, 1, 7, 17, 28, 37, 42, 39, 31, 21, 10, 2, 0, 4, 11, 19, 24, 27, 23, 18, 10, 3, 2, 6, 9, 11, 12, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 4, 14, 27, 41, 55, 61, 55, 43, 29, 15, 3, 9, 25, 46, 67, 87, 96, 90, 73, 51, 31, 15, 5, 0, 0, 0, 0, 11, 30, 55, 81, 106, 118, 115, 98, 72, 48, 28, 16, 12, 15, 22, 35, 52, 74, 98, 119, 133, 137, 132, 121, 109, 100, 97, 98, 98, 96, 89, 78, 65, 53, 43, 34, 25, 17, 11, 4, 0, 0, 12, 31, 54, 76, 94, 94, 78, 57, 34, 13, 1, 8, 21, 36, 50, 61, 61, 51, 36, 21, 11, 14, 30, 54, 84, 112, 131, 134, 121, 95, 65, 38, 18, 12, 17, 29, 42, 56, 68, 79, 90, 103, 115, 124, 125, 116, 98, 76, 54, 38, 30, 33, 43, 57, 71, 82, 92, 97, 100, 101, 102, 103, 105, 107, 106, 101, 91, 76, 57, 37, 21, 10, 5, 5, 6, 6, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 3, 10, 21, 34, 48, 57, 60, 55, 43, 30, 17, 7, 1, 0, 0, 5, 11, 18, 24, 25, 22, 17, 10, 4, 5, 12, 19, 25, 30, 35, 43, 56, 78, 107, 138, 163, 177, 176, 158, 128, 93, 60, 33, 16, 7, 5, 8, 12, 19, 28, 40, 53, 67, 78, 84, 84, 80, 74, 69, 68, 74, 87, 104, 124, 142, 156, 163, 166, 164, 157, 150, 142, 133, 123, 115, 107, 103, 102, 104, 107, 108, 105, 98, 90, 81, 76, 77, 84, 94, 102, 104, 97, 81, 58, 38, 20, 7, 9, 24, 43, 61, 75, 76, 63, 46, 27, 11, 1, 13, 32, 55, 76, 94, 97, 83, 61, 38, 18, 5, 0, 0, 0, 1, 5, 12, 19, 26, 30, 29, 23, 15, 8, 2, 0, 0, 0, 0, 0, 2, 8, 14, 20, 24, 24, 19, 14, 7, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 15, 20, 22, 22, 18, 12, 7, 3, 0, 0, 0, 1, 7, 16, 25, 33, 36, 31, 24, 15, 6, 0, 0, 0, 6, 14, 23, 30, 36, 35, 28, 21, 15, 12, 13, 17, 19, 19, 16, 11, 6, 2, 0, 0, 0, 3, 13, 25, 38, 50, 55, 51, 39, 26, 14, 4, 0, 3, 8, 12, 14, 14, 12, 8, 4, 0, 2, 7, 12, 15, 19, 21, 21, 25, 31, 43, 57, 71, 80, 84, 82, 79, 78, 82, 90, 100, 106, 103, 87, 64, 41, 21, 6, 2, 11, 23, 35, 45, 51, 50, 47, 46, 53, 69, 89, 108, 119, 119, 108, 89, 70, 55, 47, 49, 56, 65, 70, 71, 68, 62, 58, 58, 63, 71, 79, 84, 84, 78, 70, 58, 44, 29, 18, 10, 3, 3, 12, 25, 39, 51, 57, 53, 41, 28, 15, 4, 0, 3, 9, 16, 22, 29, 32, 33, 34, 35, 35, 37, 37, 35, 32, 32, 35, 42, 54, 66, 74, 74, 64, 49, 35, 28, 34, 56, 89, 126, 155, 167, 158, 130, 92, 56, 27, 7, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 18, 26, 32, 33, 30, 23, 16, 8, 3, 6, 15, 28, 41, 54, 59, 56, 44, 31, 18, 7, 1, 0, 0, 2, 6, 9, 13, 16, 19, 23, 28, 33, 37, 37, 31, 23, 15, 7, 6, 13, 23, 30, 36, 33, 26, 17, 7, 0, 4, 16, 30, 45, 58, 65, 64, 59, 54, 55, 62, 76, 92, 106, 117, 121, 121, 118, 114, 107, 99, 89, 76, 64, 55, 51, 54, 63, 74, 86, 94, 98, 98, 97, 96, 99, 106, 118, 130, 141, 146, 146, 142, 135, 128, 125, 125, 124, 120, 110, 93, 70, 47, 30, 26, 37, 62, 97, 132, 160, 175, 177, 165, 144, 118, 91, 66, 42, 25, 13, 4, 3, 11, 20, 31, 41, 46, 43, 35, 24, 13, 5, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 11, 10, 11, 15, 24, 37, 53, 68, 79, 83, 81, 71, 56, 39, 24, 12, 3, 0, 6, 19, 37, 57, 80, 97, 104, 102, 91, 74, 55, 36, 21, 10, 3, 0, 0, 0, 0, 0, 0, 0, 3, 11, 21, 31, 39, 42, 37, 28, 17, 7, 1, 0, 0, 0, 3, 7, 11, 14, 15, 13, 10, 8, 11, 22, 41, 64, 87, 106, 118, 121, 118, 113, 108, 108, 111, 115, 115, 111, 99, 82, 64, 52, 50, 59, 80, 106, 133, 155, 166, 165, 154, 135, 114, 94, 79, 68, 62, 59, 60, 63, 69, 77, 86, 93, 98, 97, 92, 84, 75, 68, 65, 66, 70, 73, 71, 61, 46, 31, 16, 5, 3, 13, 28, 44, 62, 74, 77, 69, 54, 36, 21, 9, 1, 0, 0, 0, 6, 14, 24, 34, 41, 42, 38, 29, 20, 15, 13, 15, 17, 19, 19, 19, 19, 24, 32, 42, 51, 55, 53, 44, 31, 19, 9, 2, 0, 0, 1, 7, 17, 30, 46, 61, 71, 75, 71, 61, 47, 33, 20, 11, 8, 9, 15, 25, 36, 48, 58, 65, 66, 61, 49, 35, 22, 10, 2, 0, 3, 16, 35, 58, 83, 103, 111, 107, 91, 69, 46, 28, 16, 13, 19, 31, 49, 68, 86, 99, 104, 98, 82, 59, 38, 20, 6, 0, 2, 11, 24, 37, 50, 58, 58, 51, 42, 35, 34, 41, 54, 69, 81, 88, 85, 74, 57, 39, 22, 10, 7, 13, 23, 36, 48, 53, 50, 41, 29, 16, 6, 0, 1, 7, 15, 23, 30, 33, 29, 22, 15, 12, 18, 31, 48, 65, 74, 72, 60, 43, 26, 12, 2, 6, 17, 30, 42, 52, 53, 45, 33, 20, 9, 2, 0, 0, 6, 21, 40, 63, 88, 105, 111, 103, 87, 66, 47, 34, 32, 39, 53, 69, 81, 83, 75, 57, 39, 22, 8, 0, 0, 4, 12, 20, 26, 31, 27, 21, 13, 5, 0, 0, 6, 21, 39, 59, 78, 87, 83, 67, 47, 27, 12, 2, 0, 2, 5, 10, 15, 22, 29, 38, 48, 56, 63, 66, 65, 60, 58, 59, 69, 87, 111, 136, 155, 163, 157, 137, 110, 82, 61, 53, 58, 75, 97, 116, 126, 125, 114, 98, 83, 74, 77, 88, 104, 120, 130, 130, 120, 102, 80, 59, 41, 30, 24, 23, 24, 24, 20, 15, 11, 6, 1, 0, 0, 0, 0, 5, 12, 20, 27, 31, 28, 22, 14, 6, 1, 0, 0, 0, 0, 0, 0, 3, 8, 15, 21, 25, 25, 21, 15, 8, 4, 5, 10, 16, 22, 26, 27, 23, 18, 12, 8, 7, 10, 14, 19, 26, 33, 44, 57, 75, 96, 116, 132, 141, 140, 128, 108, 83, 60, 44, 38, 43, 61, 87, 114, 138, 152, 152, 139, 114, 83, 53, 29, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 19, 29, 38, 44, 48, 51, 56, 63, 74, 85, 92, 93, 84, 69, 48, 30, 15, 12, 18, 34, 52, 71, 85, 90, 85, 74, 59, 46, 40, 43, 56, 74, 93, 107, 110, 103, 85, 61, 39, 21, 13, 15, 26, 42, 58, 70, 75, 72, 61, 45, 29, 16, 6, 0, 2, 8, 16, 25, 33, 37, 34, 26, 18, 9, 2, 0, 1, 6, 15, 25, 36, 46, 52, 53, 50, 44, 37, 31, 26, 22, 22, 25, 33, 43, 53, 62, 67, 67, 60, 51, 41, 33, 28, 27, 28, 29, 29, 24, 19, 12, 6, 1, 0, 0, 1, 1, 1, 1, 0, 0, 4, 14, 27, 41, 55, 63, 63, 55, 44, 32, 23, 18, 14, 11, 9, 6, 3, 0, 1, 11, 27, 48, 71, 92, 103, 102, 88, 67, 44, 25, 10, 6, 11, 21, 34, 48, 59, 63, 62, 55, 46, 36, 29, 25, 26, 33, 44, 55, 63, 67, 62, 50, 36, 22, 10, 2, 0, 0, 8, 23, 42, 62, 81, 89, 83, 65, 45, 25, 10, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 11, 15, 20, 26, 35, 47, 63, 81, 97, 109, 111, 103, 86, 63, 40, 22, 13, 12, 20, 31, 41, 49, 52, 50, 44, 39, 34, 34, 35, 40, 45, 51, 54, 55, 53, 48, 40, 31, 20, 12, 6, 1, 0, 0, 0, 0, 0, 0, 3, 7, 12, 17, 21, 21, 17, 12, 7, 3, 0, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 5, 12, 21, 32, 42, 48, 48, 40, 29, 19, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 10, 19, 31, 45, 59, 67, 72, 72, 69, 64, 60, 58, 58, 60, 62, 65, 67, 69, 70, 71, 75, 81, 88, 95, 101, 102, 100, 93, 83, 70, 58, 48, 41, 37, 37, 38, 39, 40, 41, 41, 39, 34, 27, 19, 12, 6, 1, 0, 0, 0, 0, 2, 8, 15, 21, 26, 26, 21, 15, 8, 2, 0, 0, 0, 3, 8, 15, 22, 27, 28, 24, 17, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 10, 14, 17, 17, 13, 9, 4, 1, 0, 0, 0, 0, 2, 11, 24, 39, 53, 63, 63, 54, 39, 25, 12, 3, 2, 11, 25, 42, 60, 76, 84, 83, 72, 54, 36, 21, 9, 2, 5, 13, 19, 25, 27, 24, 17, 11, 4, 0, 0, 0, 0, 0, 0, 0, 3, 12, 25, 40, 57, 69, 72, 65, 50, 34, 19, 7, 7, 21, 43, 70, 101, 124, 135, 132, 115, 90, 65, 46, 34, 32, 34, 35, 32, 25, 17, 9, 2, 3, 11, 21, 30, 39, 44, 42, 37, 32, 30, 33, 41, 51, 60, 64, 59, 47, 33, 19, 8, 1, 6, 17, 32, 49, 67, 79, 83, 79, 70, 56, 41, 28, 18, 11, 9, 12, 19, 29, 42, 54, 64, 70, 72, 68, 61, 52, 44, 39, 39, 41, 44, 44, 40, 31, 22, 13, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 14, 27, 38, 48, 47, 39, 28, 16, 5, 2, 16, 38, 68, 100, 132, 147, 145, 125, 93, 60, 33, 12, 1, 0, 0, 3, 14, 32, 55, 80, 104, 116, 114, 100, 75, 50, 28, 11, 1, 1, 10, 24, 42, 62, 81, 92, 94, 86, 71, 52, 34, 19, 9, 7, 12, 22, 34, 47, 58, 65, 68, 66, 62, 57, 50, 43, 36, 29, 21, 14, 8, 3, 0, 0, 1, 4, 7, 9, 10, 10, 8, 6, 3, 2, 2, 4, 6, 7, 9, 9, 9, 11, 13, 18, 24, 29, 30, 27, 21, 14, 7, 2, 0, 0, 0, 0, 4, 11, 20, 28, 35, 35, 29, 20, 11, 4, 4, 12, 23, 35, 49, 57, 57, 50, 38, 25, 14, 5, 0, 0, 0, 0, 0, 0, 0, 4, 12, 24, 40, 58, 73, 81, 80, 68, 50, 33, 17, 5, 5, 17, 34, 54, 77, 95, 105, 106, 99, 90, 78, 67, 59, 55, 52, 53, 54, 57, 61, 65, 70, 74, 76, 79, 80, 78, 74, 67, 58, 46, 34, 22, 12, 6, 1, 0, 4, 12, 22, 35, 49, 60, 67, 70, 70, 70, 71, 73, 76, 80, 82, 82, 81, 78, 75, 72, 71, 73, 75, 77, 80, 79, 75, 71, 66, 63, 65, 72, 83, 97, 108, 116, 117, 110, 95, 75, 51, 32, 16, 6, 0, 0, 5, 12, 20, 28, 36, 38, 34, 26, 18, 11, 9, 11, 19, 28, 38, 44, 45, 40, 31, 20, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 2, 10, 22, 37, 52, 64, 69, 66, 57, 45, 33, 24, 20, 21, 27, 36, 48, 59, 68, 75, 78, 77, 72, 64, 53, 39, 25, 15, 7, 4, 7, 14, 21, 29, 32, 30, 23, 16, 8, 3, 0, 0, 4, 11, 21, 30, 36, 36, 30, 21, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 17, 27, 40, 53, 64, 72, 73, 64, 49, 34, 19, 7, 0, 0, 0, 6, 20, 41, 65, 90, 109, 114, 105, 84, 58, 35, 16, 9, 14, 30, 48, 68, 84, 91, 88, 78, 62, 46, 33, 24, 22, 24, 30, 37, 42, 44, 42, 36, 29, 21, 16, 15, 19, 26, 38, 51, 65, 77, 87, 91, 89, 80, 66, 49, 32, 18, 8, 2, 0, 0, 0, 0, 0, 0, 1, 6, 14, 23, 32, 40, 42, 40, 33, 25, 16, 9, 5, 2, 1, 1, 1, 0, 0, 0, 0, 0, 2, 8, 15, 24, 33, 40, 42, 39, 31, 21, 12, 5, 0, 4, 12, 23, 34, 44, 47, 41, 31, 20, 10, 2, 0, 1, 10, 25, 43, 64, 85, 96, 97, 88, 72, 53, 34, 20, 12, 10, 13, 19, 29, 40, 53, 69, 86, 104, 119, 128, 129, 120, 102, 78, 52, 31, 14, 4, 0, 0, 0, 7, 19, 35, 55, 80, 102, 119, 130, 132, 128, 116, 99, 80, 62, 48, 39, 38, 45, 57, 73, 90, 104, 114, 116, 111, 99, 82, 59, 38, 22, 9, 2, 6, 17, 32, 52, 76, 97, 114, 123, 124, 117, 102, 79, 54, 34, 17, 4, 0, 7, 24, 50, 81, 117, 148, 166, 170, 158, 133, 103, 71, 45, 28, 23, 28, 41, 57, 71, 80, 84, 83, 79, 77, 77, 82, 89, 98, 106, 111, 112, 107, 99, 87, 77, 69, 64, 63, 65, 67, 70, 71, 68, 61, 50, 36, 23, 12, 5, 5, 14, 28, 46, 68, 89, 104, 112, 111, 100, 82, 58, 37, 20, 9, 9, 20, 36, 57, 77, 94, 102, 100, 89, 71, 51, 31, 16, 7, 2, 4, 9, 14, 19, 23, 24, 23, 21, 19, 16, 14, 12, 9, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 9, 13, 16, 17, 15, 11, 7, 6, 7, 11, 15, 19, 18, 15, 10, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 19, 31, 44, 58, 71, 84, 95, 102, 104, 101, 90, 75, 58, 41, 28, 20, 20, 25, 36, 48, 60, 68, 72, 68, 61, 50, 40, 33, 33, 37, 44, 52, 56, 55, 47, 35, 23, 12, 4, 0, 0, 0, 1, 6, 13, 22, 31, 39, 43, 44, 40, 34, 26, 18, 11, 8, 9, 12, 17, 21, 23, 23, 20, 14, 9, 4, 1, 1, 7, 15, 23, 32, 38, 38, 32, 23, 14, 6, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 6, 20, 41, 64, 90, 110, 117, 110, 91, 66, 42, 22, 8, 0, 0, 3, 7, 12, 18, 24, 28, 29, 29, 28, 27, 27, 30, 33, 37, 40, 43, 43, 41, 37, 32, 24, 17, 10, 6, 4, 6, 13, 22, 35, 48, 60, 70, 75, 75, 71, 63, 54, 45, 39, 35, 33, 34, 36, 37, 36, 35, 32, 28, 24, 22, 21, 21, 22, 23, 24, 23, 22, 21, 22, 26, 33, 47, 66, 90, 115, 137, 152, 157, 149, 129, 99, 67, 41, 20, 6, 1, 8, 18, 29, 40, 47, 47, 39, 28, 17, 7, 1, 0, 0, 0, 4, 12, 23, 37, 54, 70, 83, 92, 96, 95, 88, 77, 62, 46, 31, 18, 10, 7, 9, 15, 25, 38, 50, 62, 72, 79, 84, 87, 87, 85, 81, 72, 59, 42, 28, 15, 5, 0, 0, 0, 7, 18, 33, 52, 74, 93, 106, 112, 112, 106, 96, 84, 71, 58, 46, 35, 26, 18, 13, 11, 11, 14, 18, 24, 30, 34, 36, 37, 36, 36, 36, 39, 42, 48, 52, 55, 54, 51, 43, 34, 24, 17, 15, 20, 30, 46, 63, 80, 90, 92, 84, 66, 46, 28, 13, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 22, 37, 56, 74, 88, 96, 96, 89, 76, 58, 39, 24, 12, 4, 0, 0, 0, 3, 8, 16, 27, 39, 52, 64, 71, 73, 68, 56, 40, 26, 13, 4, 0, 0, 0, 3, 13, 26, 41, 58, 71, 75, 70, 58, 42, 26, 14, 6, 5, 12, 21, 32, 44, 52, 55, 54, 49, 42, 34, 27, 22, 19, 19, 21, 25, 29, 32, 34, 34, 32, 30, 26, 25, 25, 28, 34, 43, 54, 67, 79, 87, 90, 85, 71, 52, 34, 19, 7, 0, 0, 0, 0, 2, 7, 12, 17, 20, 20, 16, 11, 6, 2, 0, 0, 0, 3, 6, 11, 15, 19, 20, 19, 18, 17, 18, 21, 26, 33, 42, 53, 65, 75, 85, 91, 95, 94, 89, 79, 66, 50, 33, 20, 9, 2, 0, 0, 0, 0, 0, 3, 9, 16, 24, 34, 41, 46, 47, 47, 45, 43, 42, 42, 43, 46, 51, 57, 63, 69, 74, 76, 78, 77, 75, 72, 69, 67, 67, 70, 73, 77, 80, 80, 76, 66, 52, 36, 22, 11, 3, 0, 3, 12, 25, 41, 59, 73, 78, 73, 60, 42, 26, 13, 3, 0, 0, 5, 16, 30, 47, 67, 83, 92, 91, 83, 68, 48, 31, 16, 6, 3, 8, 17, 30, 46, 62, 77, 90, 99, 104, 105, 103, 97, 87, 75, 59, 41, 26, 14, 6, 0, 0, 0, 0, 6, 19, 37, 57, 80, 98, 105, 102, 91, 72, 50, 31, 16, 6, 0, 0, 2, 7, 15, 24, 33, 40, 42, 40, 35, 27, 19, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 17, 25, 33, 36, 34, 27, 19, 11, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 22, 34, 46, 51, 50, 43, 31, 20, 10, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 18, 31, 44, 56, 63, 65, 60, 51, 41, 28, 17, 9, 4, 1, 4, 10, 19, 29, 41, 49, 52, 49, 41, 29, 19, 10, 3, 0, 0, 0, 0, 0, 0, 2, 6, 11, 15, 18, 18, 15, 11, 6, 2, 0, 0, 0, 0, 0, 2, 10, 23, 38, 56, 74, 86, 92, 90, 82, 68, 52, 35, 21, 10, 4, 0, 0, 0, 0, 2, 4, 6, 9, 11, 11, 11, 11, 11, 14, 18, 25, 31, 39, 46, 51, 53, 54, 53, 51, 50, 52, 56, 61, 68, 73, 76, 74, 68, 57, 43, 29, 17, 8, 2, 0, 0, 6, 21, 42, 70, 105, 137, 163, 179, 181, 170, 150, 121, 88, 57, 33, 16, 9, 13, 26, 42, 60, 73, 77, 69, 53, 37, 20, 7, 0, 0, 0, 0, 0, 0, 6, 14, 24, 35, 44, 47, 41, 31, 20, 11, 3, 0, 5, 13, 25, 39, 54, 68, 79, 86, 89, 90, 87, 79, 69, 55, 38, 24, 13, 5, 0, 0, 0, 0, 0, 0, 1, 7, 16, 28, 40, 49, 51, 46, 35, 23, 12, 4, 0, 0, 0, 0, 3, 5, 8, 10, 12, 11, 9, 5, 3, 1, 0, 0, 0, 0, 0, 4, 10, 20, 33, 50, 66, 80, 90, 95, 94, 87, 76, 61, 45, 30, 20, 15, 16, 23, 32, 42, 50, 54, 54, 49, 39, 27, 17, 8, 3, 0, 0, 0, 2, 4, 7, 9, 10, 8, 6, 3, 1, 0, 0, 0, 2, 10, 21, 36, 54, 72, 85, 92, 92, 86, 74, 59, 43, 28, 16, 7, 3, 0, 0, 0, 1, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 18, 30, 44, 56, 63, 68, 68, 66, 63, 60, 59, 60, 64, 70, 78, 85, 91, 95, 93, 88, 77, 64, 50, 37, 27, 21, 20, 23, 29, 38, 46, 53, 55, 54, 48, 39, 28, 18, 11, 6, 5, 9, 15, 23, 34, 45, 54, 63, 68, 71, 73, 73, 73, 74, 76, 77, 78, 76, 74, 68, 60, 51, 42, 34, 29, 29, 30, 34, 35, 35, 31, 23, 15, 8, 2, 0, 0, 0, 0, 0, 0, 1, 7, 18, 31, 47, 61, 71, 75, 72, 64, 54, 42, 29, 18, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 5, 15, 29, 47, 67, 86, 99, 104, 99, 87, 67, 45, 27, 12, 3, 0, 0, 0, 3, 14, 32, 57, 84, 113, 133, 140, 133, 115, 87, 58, 34, 15, 3, 0, 0, 2, 10, 23, 39, 57, 73, 83, 85, 79, 67, 54, 42, 33, 31, 34, 43, 56, 73, 89, 105, 116, 122, 121, 112, 96, 75, 52, 32, 16, 6, 0, 0, 1, 4, 7, 11, 14, 14, 12, 9, 5, 2, 0, 0, 2, 6, 12, 20, 29, 37, 43, 48, 51, 53, 55, 57, 56, 55, 53, 50, 44, 37, 28, 19, 12, 5, 1, 0, 0, 0, 0, 6, 16, 30, 47, 65, 81, 93, 98, 97, 90, 77, 60, 41, 25, 13, 4, 0, 0, 0, 0, 6, 15, 28, 44, 62, 76, 84, 83, 75, 58, 40, 24, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 12, 20, 29, 37, 42, 43, 42, 39, 35, 33, 32, 34, 36, 41, 45, 47, 47, 44, 37, 28, 19, 11, 4, 0, 1, 6, 15, 27, 40, 53, 61, 61, 53, 40, 26, 14, 5, 0, 0, 0, 0, 0, 0, 3, 7, 12, 18, 23, 26, 29, 32, 37, 44, 54, 64, 73, 79, 82, 81, 76, 69, 60, 51, 45, 43, 48, 58, 75, 94, 113, 128, 139, 142, 137, 124, 104, 79, 53, 32, 15, 4, 0, 3, 11, 24, 40, 58, 77, 92, 101, 107, 110, 112, 112, 111, 110, 109, 106, 100, 93, 83, 70, 55, 40, 26, 15, 7, 2, 0, 2, 8, 17, 28, 41, 52, 60, 63, 61, 53, 43, 30, 19, 10, 4, 0, 0, 3, 10, 22, 37, 55, 72, 86, 95, 99, 97, 90, 80, 68, 54, 39, 25, 15, 7, 2, 0, 1, 5, 9, 15, 22, 29, 33, 36, 36, 35, 33, 32, 34, 40, 50, 63, 80, 96, 111, 124, 132, 133, 130, 119, 103, 83, 62, 40, 24, 11, 3, 0, 0, 0, 2, 7, 14, 23, 33, 41, 46, 47, 45, 39, 30, 20, 13, 6, 2, 0, 0, 0, 0, 0, 3, 17, 39, 70, 105, 136, 151, 147, 121, 88, 54, 25, 5, 0, 4, 7 ],
      "g" : [ 746, 707, 661, 693, 740, 792, 839, 870, 879, 866, 838, 805, 778, 767, 785, 841, 940, 1084, 1268, 1479, 1696, 1897, 2057, 2155, 2176, 2112, 1965, 1743, 1469, 1167, 869, 597, 372, 207, 101, 38, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 55, 95, 138, 193, 249, 325, 444, 630, 897, 1248, 1671, 2138, 2608, 3035, 3377, 3606, 3719, 3736, 3691, 3624, 3561, 3520, 3498, 3491, 3489, 3489, 3490, 3490, 3490, 3490, 3491, 3491, 3492, 3492, 3493, 3493, 3493, 3493, 3512, 3581, 3730, 3940, 4130, 4155, 3874, 3226, 2376, 1545, 781, 227, 0, 0, 0, 0, 0, 0, 0, 0, 0, 227, 782, 1547, 2380, 3231, 3881, 4163, 4139, 3949, 3739, 3590, 3521, 3502, 3503, 3503, 3504, 3504, 3504, 3505, 3505, 3505, 3505, 3505, 3505, 3506, 3506, 3506, 3507, 3507, 3508, 3508, 3508, 3508, 3509, 3514, 3530, 3564, 3618, 3680, 3718, 3695, 3575, 3350, 3040, 2694, 2372, 2120, 1957, 1874, 1840, 1823, 1799, 1753, 1676, 1557, 1389, 1165, 893, 608, 373, 185, 58, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 45, 110, 206, 333, 484, 630, 754, 841, 878, 863, 798, 694, 564, 423, 286, 174, 92, 37, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 10, 9, 8, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 66, 141, 246, 383, 525, 648, 735, 773, 760, 700, 605, 490, 368, 251, 155, 84, 35, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 29, 78, 155, 260, 393, 529, 650, 736, 777, 764, 700, 595, 465, 329, 207, 116, 52, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 23, 62, 116, 182, 256, 317, 356, 369, 356, 319, 263, 195, 129, 75, 35, 9, 0, 0, 0, 0, 0, 0, 0, 0, 8, 34, 83, 159, 261, 380, 494, 587, 642, 649, 606, 521, 406, 279, 172, 89, 33, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 45, 113, 213, 342, 487, 610, 691, 714, 676, 586, 460, 321, 199, 107, 44, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 32, 67, 117, 184, 256, 325, 378, 407, 404, 370, 308, 231, 151, 88, 41, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 27, 67, 127, 208, 308, 409, 500, 569, 605, 598, 550, 466, 360, 247, 151, 79, 31, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23, 71, 146, 247, 376, 503, 610, 683, 709, 684, 613, 505, 377, 248, 146, 70, 21, 0, 0, 0, 0, 0, 2, 6, 10, 13, 16, 16, 17, 17, 18, 19, 20, 20, 19, 22, 31, 53, 91, 148, 227, 327, 442, 565, 681, 774, 832, 846, 815, 749, 663, 571, 488, 425, 391, 388, 414, 463, 523, 584, 636, 678, 713, 752, 806, 883, 983, 1097, 1216, 1324, 1411, 1470, 1498, 1496, 1469, 1423, 1366, 1308, 1261, 1235, 1235, 1260, 1302, 1344, 1375, 1384, 1371, 1342, 1306, 1272, 1245, 1222, 1200, 1173, 1137, 1094, 1045, 996, 949, 907, 871, 835, 798, 756, 710, 660, 611, 565, 525, 490, 459, 430, 397, 361, 322, 283, 246, 212, 182, 155, 133, 122, 132, 173, 255, 375, 524, 681, 820, 914, 946, 908, 806, 658, 491, 332, 197, 102, 43, 13, 3, 4, 4, 4, 4, 2, 0, 0, 1, 3, 6, 8, 10, 9, 7, 4, 1, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 2, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 7, 7, 6, 3, 0, 0, 0, 15, 61, 143, 264, 423, 597, 752, 862, 904, 873, 775, 630, 465, 306, 178, 89, 33, 6, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 6, 4, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 9, 13, 17, 19, 20, 20, 17, 13, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 26, 85, 180, 304, 455, 593, 690, 728, 702, 619, 498, 363, 235, 134, 65, 23, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 10, 11, 12, 11, 8, 6, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 7, 10, 12, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 13, 48, 105, 184, 286, 389, 475, 529, 540, 505, 431, 330, 222, 132, 64, 20, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 4, 12, 21, 29, 34, 32, 26, 17, 8, 5, 25, 73, 155, 275, 428, 591, 737, 837, 872, 834, 730, 582, 423, 284, 189, 154, 179, 256, 367, 488, 599, 679, 712, 693, 626, 523, 403, 287, 192, 126, 93, 85, 94, 107, 117, 121, 119, 112, 106, 103, 103, 105, 104, 100, 93, 84, 76, 71, 70, 72, 75, 75, 73, 68, 60, 49, 38, 26, 16, 8, 3, 7, 33, 85, 167, 281, 415, 549, 658, 722, 729, 679, 581, 452, 315, 195, 105, 43, 9, 3, 11, 17, 21, 22, 20, 14, 7, 2, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 22, 69, 141, 236, 353, 460, 538, 573, 558, 495, 397, 282, 177, 94, 38, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 4, 4, 4, 3, 1, 0, 0, 0, 0, 6, 38, 103, 203, 339, 501, 656, 776, 838, 828, 748, 614, 452, 291, 165, 75, 22, 0, 0, 0, 0, 0, 0, 0, 2, 17, 48, 100, 176, 278, 392, 504, 594, 645, 644, 592, 501, 395, 305, 254, 258, 312, 402, 503, 587, 638, 644, 607, 539, 451, 355, 262, 179, 111, 61, 28, 9, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 10, 11, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 18, 78, 182, 329, 514, 705, 854, 931, 919, 822, 661, 472, 295, 159, 67, 16, 0, 0, 0, 0, 0, 0, 3, 6, 7, 8, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 13, 64, 153, 279, 437, 606, 743, 822, 824, 752, 620, 460, 305, 190, 135, 147, 215, 320, 435, 534, 594, 602, 557, 466, 348, 227, 129, 59, 17, 2, 5, 7, 6, 7, 6, 3, 0, 6, 39, 104, 204, 340, 505, 663, 786, 849, 836, 746, 598, 422, 262, 137, 83, 104, 194, 315, 452, 562, 619, 614, 549, 441, 317, 199, 110, 49, 14, 0, 0, 0, 0, 0, 0, 0, 0, 14, 51, 117, 215, 343, 477, 592, 661, 668, 609, 496, 355, 224, 119, 74, 98, 186, 308, 449, 571, 647, 662, 613, 512, 382, 250, 144, 65, 18, 0, 2, 5, 7, 7, 7, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 4, 33, 86, 160, 248, 343, 415, 450, 443, 398, 325, 238, 154, 87, 39, 10, 0, 0, 0, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 1, 7, 13, 16, 15, 15, 11, 5, 8, 53, 135, 254, 397, 550, 665, 717, 696, 607, 474, 329, 205, 131, 123, 183, 299, 445, 587, 688, 724, 685, 581, 437, 289, 169, 102, 98, 149, 241, 348, 448, 516, 539, 513, 447, 353, 252, 157, 87, 40, 13, 0, 0, 0, 0, 0, 2, 4, 5, 5, 5, 3, 1, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 40, 126, 262, 441, 660, 859, 1000, 1055, 1012, 882, 694, 486, 298, 157, 64, 15, 0, 0, 1, 4, 8, 10, 11, 11, 8, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 19, 63, 131, 215, 312, 394, 442, 447, 409, 339, 250, 162, 93, 43, 12, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 33, 91, 180, 302, 447, 583, 685, 732, 712, 632, 508, 365, 230, 127, 56, 17, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 25, 79, 160, 263, 382, 481, 539, 546, 500, 414, 308, 202, 116, 55, 18, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 45, 98, 175, 279, 395, 507, 598, 650, 651, 599, 499, 372, 243, 139, 63, 18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 14, 35, 62, 92, 126, 153, 176, 199, 227, 262, 302, 340, 365, 366, 338, 284, 217, 152, 111, 107, 148, 229, 334, 441, 527, 575, 576, 534, 459, 365, 270, 182, 109, 59, 27, 7, 0, 0, 0, 0, 0, 0, 0, 9, 39, 92, 166, 261, 361, 442, 488, 490, 448, 371, 277, 180, 104, 50, 17, 1, 0, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 33, 79, 149, 244, 351, 448, 514, 533, 496, 410, 294, 186, 96, 50, 63, 138, 250, 393, 538, 651, 702, 679, 584, 443, 292, 168, 103, 112, 190, 316, 463, 595, 680, 700, 650, 542, 401, 259, 145, 64, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 8, 7, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 24, 71, 140, 230, 335, 426, 485, 498, 462, 384, 278, 179, 97, 38, 33, 83, 165, 266, 382, 475, 525, 522, 470, 380, 273, 172, 94, 40, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 30, 94, 199, 346, 529, 706, 839, 898, 866, 746, 567, 377, 216, 101, 68, 114, 214, 333, 461, 559, 605, 591, 523, 416, 292, 181, 95, 37, 7, 2, 6, 9, 8, 8, 7, 3, 0, 7, 39, 98, 190, 314, 460, 597, 701, 749, 729, 642, 506, 348, 211, 105, 35, 1, 0, 1, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 44, 108, 202, 321, 445, 543, 594, 585, 519, 413, 289, 178, 93, 37, 7, 0, 5, 10, 12, 12, 13, 10, 5, 1, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 3, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 5, 5, 5, 4, 2, 0, 0, 3, 21, 55, 109, 185, 278, 367, 435, 465, 449, 386, 292, 193, 109, 50, 45, 93, 182, 298, 428, 539, 607, 619, 573, 483, 368, 252, 150, 79, 33, 9, 0, 0, 0, 0, 0, 1, 14, 44, 99, 184, 295, 414, 519, 586, 600, 556, 465, 347, 228, 131, 62, 20, 4, 3, 2, 2, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 3, 8, 13, 16, 18, 16, 12, 7, 2, 0, 0, 0, 0, 2, 6, 11, 14, 15, 13, 10, 5, 3, 6, 13, 19, 23, 23, 19, 13, 6, 1, 0, 0, 7, 44, 117, 230, 379, 551, 704, 807, 836, 787, 670, 513, 347, 206, 103, 39, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 9, 8, 6, 2, 0, 0, 0, 0, 0, 1, 4, 7, 11, 14, 14, 12, 9, 6, 2, 2, 4, 7, 9, 10, 11, 11, 12, 12, 11, 9, 7, 4, 1, 0, 0, 11, 46, 113, 216, 354, 509, 649, 743, 769, 721, 608, 456, 299, 171, 79, 25, 1, 0, 0, 0, 2, 3, 3, 3, 3, 2, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 56, 136, 253, 405, 571, 715, 806, 827, 774, 660, 508, 349, 211, 110, 45, 10, 0, 0, 1, 4, 7, 9, 12, 13, 11, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 6, 9, 11, 10, 9, 6, 2, 0, 0, 0, 0, 0, 0, 23, 78, 166, 286, 431, 567, 665, 701, 668, 574, 440, 299, 188, 133, 149, 233, 369, 524, 665, 759, 785, 736, 624, 473, 315, 183, 86, 28, 2, 0, 0, 0, 0, 0, 0, 0, 23, 83, 184, 323, 493, 659, 783, 839, 812, 712, 562, 396, 251, 156, 127, 161, 243, 348, 449, 520, 546, 522, 456, 363, 259, 163, 90, 40, 12, 2, 3, 2, 2, 3, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 10, 12, 13, 11, 8, 4, 1, 0, 0, 0, 1, 5, 10, 15, 19, 19, 16, 12, 6, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 2, 3, 12, 34, 78, 141, 218, 295, 355, 385, 378, 338, 276, 205, 137, 81, 43, 19, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 10, 36, 77, 135, 212, 292, 362, 409, 424, 402, 347, 272, 189, 115, 60, 24, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 15, 47, 99, 168, 253, 336, 399, 431, 424, 380, 307, 221, 139, 76, 32, 8, 0, 0, 0, 1, 4, 7, 8, 8, 8, 5, 2, 0, 0, 2, 2, 2, 2, 2, 0, 5, 25, 64, 124, 209, 310, 407, 480, 510, 490, 423, 325, 218, 127, 61, 21, 3, 0, 1, 4, 7, 8, 8, 7, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 7, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 3, 4, 5, 5, 4, 4, 3, 1, 0, 0, 0, 28, 97, 213, 372, 569, 757, 893, 946, 903, 776, 597, 408, 252, 154, 127, 163, 248, 357, 465, 547, 581, 558, 483, 373, 258, 174, 145, 179, 270, 391, 510, 595, 625, 592, 506, 385, 261, 163, 116, 135, 219, 348, 492, 614, 684, 686, 622, 509, 374, 241, 137, 65, 23, 2, 0, 1, 5, 10, 13, 15, 14, 12, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 8, 50, 130, 248, 396, 557, 686, 757, 754, 681, 555, 407, 268, 168, 127, 154, 243, 373, 511, 623, 677, 658, 574, 446, 305, 180, 90, 34, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 2, 7, 13, 18, 21, 20, 16, 11, 6, 4, 2, 2, 2, 1, 0, 1, 4, 7, 7, 7, 7, 5, 1, 7, 39, 101, 190, 302, 420, 509, 552, 537, 471, 371, 260, 159, 85, 36, 10, 0, 1, 5, 9, 11, 11, 11, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 28, 74, 142, 228, 325, 408, 462, 477, 449, 385, 297, 201, 120, 59, 19, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 2, 2, 2, 0, 0, 0, 11, 38, 83, 146, 226, 303, 362, 385, 364, 304, 223, 146, 101, 105, 162, 257, 368, 466, 530, 545, 510, 438, 348, 266, 215, 211, 255, 331, 415, 479, 499, 469, 395, 295, 191, 108, 48, 14, 0, 0, 0, 0, 1, 4, 6, 7, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 8, 39, 96, 180, 286, 399, 492, 545, 547, 498, 412, 311, 221, 167, 165, 221, 326, 457, 583, 671, 697, 653, 550, 416, 284, 188, 146, 160, 217, 295, 368, 416, 427, 401, 342, 263, 179, 108, 54, 19, 2, 0, 2, 5, 6, 6, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 50, 126, 241, 388, 549, 685, 768, 777, 710, 581, 421, 268, 146, 78, 78, 139, 234, 343, 437, 490, 489, 436, 348, 245, 149, 77, 31, 8, 0, 0, 0, 0, 0, 0, 0, 0, 28, 88, 181, 299, 435, 548, 613, 617, 561, 461, 340, 223, 129, 63, 24, 7, 1, 0, 0, 0, 0, 0, 0, 15, 64, 147, 263, 405, 550, 660, 713, 696, 613, 483, 338, 211, 129, 108, 145, 223, 317, 397, 442, 442, 399, 324, 235, 149, 83, 37, 10, 0, 0, 0, 0, 0, 1, 3, 4, 4, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 63, 146, 266, 418, 577, 705, 778, 779, 710, 586, 435, 285, 164, 79, 28, 4, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 12, 21, 27, 31, 28, 22, 13, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 19, 22, 20, 16, 10, 4, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 3, 7, 10, 12, 12, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 11, 16, 19, 17, 15, 10, 4, 0, 0, 0, 0, 2, 25, 72, 145, 240, 350, 450, 519, 544, 521, 455, 360, 252, 157, 84, 33, 6, 1, 3, 3, 3, 3, 3, 0, 6, 41, 107, 203, 327, 468, 591, 672, 699, 665, 580, 465, 343, 241, 178, 163, 192, 253, 326, 391, 431, 436, 405, 345, 267, 186, 116, 64, 30, 13, 7, 4, 4, 4, 2, 1, 5, 10, 16, 22, 26, 27, 24, 21, 16, 10, 6, 3, 1, 0, 0, 4, 10, 16, 22, 26, 27, 25, 20, 13, 8, 4, 1, 2, 6, 11, 14, 17, 18, 17, 15, 12, 10, 9, 8, 9, 12, 17, 23, 27, 28, 25, 19, 12, 6, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 9, 15, 19, 22, 19, 15, 9, 3, 0, 2, 6, 11, 15, 18, 19, 17, 14, 13, 12, 12, 10, 9, 6, 3, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 1, 3, 6, 9, 11, 10, 9, 6, 2, 1, 5, 8, 12, 15, 17, 16, 15, 14, 15, 18, 23, 29, 32, 31, 26, 19, 11, 4, 0, 1, 5, 12, 18, 23, 25, 22, 17, 10, 5, 1, 0, 1, 3, 7, 11, 17, 22, 25, 28, 31, 35, 39, 41, 38, 33, 24, 15, 7, 1, 0, 0, 0, 0, 0, 1, 3, 6, 11, 19, 29, 37, 42, 42, 36, 26, 16, 8, 2, 0, 0, 4, 10, 18, 24, 30, 30, 25, 18, 10, 4, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 8, 6, 3, 1, 0, 2, 6, 10, 13, 15, 14, 11, 7, 3, 0, 0, 0, 0, 0, 1, 2, 4, 6, 6, 6, 4, 2, 1, 0, 0, 3, 8, 12, 15, 16, 14, 10, 6, 2, 0, 1, 3, 5, 7, 8, 7, 7, 7, 9, 11, 13, 13, 11, 8, 4, 1, 1, 2, 3, 4, 4, 4, 2, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 1, 2, 4, 4, 4, 3, 2, 1, 0, 0, 0, 2, 5, 7, 7, 7, 5, 3, 0, 0, 1, 20, 63, 133, 226, 341, 451, 537, 583, 582, 533, 447, 338, 225, 134, 65, 21, 0, 2, 3, 3, 3, 3, 2, 0, 13, 48, 105, 179, 271, 361, 429, 463, 459, 417, 347, 263, 179, 107, 56, 26, 13, 11, 12, 15, 16, 18, 18, 18, 15, 12, 8, 5, 5, 7, 6, 7, 6, 4, 0, 6, 31, 76, 144, 232, 329, 411, 464, 478, 452, 393, 316, 235, 162, 104, 62, 34, 17, 8, 3, 1, 0, 0, 12, 40, 90, 165, 267, 383, 496, 588, 640, 641, 591, 500, 387, 270, 167, 92, 42, 14, 1, 1, 5, 7, 8, 8, 7, 5, 1, 0, 0, 0, 0, 0, 2, 6, 10, 14, 17, 17, 14, 10, 6, 2, 1, 2, 3, 4, 5, 4, 4, 3, 2, 1, 1, 1, 2, 4, 6, 7, 7, 6, 4, 1, 0, 0, 0, 0, 2, 5, 6, 6, 6, 5, 4, 6, 10, 16, 20, 21, 18, 13, 7, 3, 0, 1, 4, 6, 7, 8, 9, 10, 12, 15, 17, 16, 14, 10, 5, 1, 0, 0, 0, 0, 3, 7, 10, 13, 13, 11, 8, 4, 1, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 7, 11, 14, 16, 14, 11, 6, 2, 0, 0, 1, 4, 10, 16, 21, 23, 20, 16, 10, 5, 0, 0, 5, 26, 66, 129, 213, 311, 401, 469, 499, 484, 426, 338, 237, 146, 76, 29, 5, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 12, 40, 84, 143, 216, 288, 345, 376, 378, 349, 297, 231, 162, 101, 55, 25, 8, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 6, 7, 6, 5, 2, 0, 0, 0, 1, 3, 2, 2, 3, 2, 10, 33, 72, 124, 190, 256, 311, 345, 353, 333, 290, 233, 171, 113, 66, 34, 14, 4, 0, 1, 4, 6, 7, 7, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 5, 5, 6, 7, 8, 7, 7, 5, 4, 2, 2, 1, 1, 0, 0, 0, 14, 44, 92, 156, 231, 300, 349, 370, 359, 321, 264, 200, 138, 85, 46, 21, 7, 1, 0, 4, 10, 16, 18, 19, 17, 11, 5, 0, 0, 2, 5, 8, 10, 12, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 9, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 20, 49, 90, 147, 213, 280, 337, 376, 387, 369, 325, 261, 190, 123, 70, 34, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 10, 38, 88, 164, 269, 386, 497, 584, 630, 629, 581, 499, 400, 297, 201, 123, 68, 30, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 13, 17, 18, 15, 12, 7, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 24, 59, 114, 197, 298, 406, 499, 557, 567, 524, 439, 332, 223, 130, 66, 27, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 20, 56, 112, 186, 276, 360, 425, 458, 455, 417, 356, 289, 235, 209, 221, 270, 346, 433, 512, 565, 579, 549, 482, 390, 290, 196, 118, 63, 29, 10, 1, 0, 0, 0, 0, 6, 28, 70, 136, 225, 326, 418, 485, 514, 500, 449, 376, 292, 210, 136, 81, 42, 16, 2, 0, 0, 0, 0, 0, 5, 25, 57, 101, 160, 228, 289, 335, 358, 350, 313, 256, 193, 142, 119, 133, 187, 277, 387, 499, 590, 639, 632, 571, 466, 338, 215, 119, 52, 14, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 17, 51, 109, 195, 305, 420, 522, 593, 620, 600, 538, 446, 340, 236, 145, 79, 35, 9, 0, 0, 0, 0, 0, 4, 28, 70, 130, 206, 295, 375, 433, 462, 458, 421, 359, 280, 198, 123, 68, 30, 8, 0, 2, 4, 5, 5, 5, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 28, 67, 125, 203, 287, 359, 407, 421, 400, 351, 287, 219, 157, 102, 62, 33, 14, 3, 0, 0, 2, 6, 8, 9, 9, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 9, 33, 72, 128, 201, 282, 357, 413, 440, 433, 390, 319, 235, 152, 85, 39, 12, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 26, 61, 112, 172, 233, 278, 301, 298, 272, 231, 182, 132, 85, 50, 24, 8, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 3, 21, 57, 112, 179, 250, 307, 336, 332, 300, 250, 197, 154, 133, 137, 170, 226, 298, 372, 432, 463, 456, 411, 338, 252, 169, 99, 51, 22, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 25, 73, 146, 243, 359, 471, 561, 618, 638, 620, 567, 486, 385, 275, 177, 98, 42, 9, 1, 0, 0, 0, 1, 11, 34, 72, 127, 202, 283, 358, 415, 442, 436, 399, 342, 277, 213, 155, 106, 67, 38, 17, 7, 5, 6, 6, 7, 5, 2, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 14, 46, 100, 175, 274, 375, 464, 527, 554, 542, 495, 423, 336, 248, 167, 100, 53, 23, 6, 0, 0, 0, 0, 0, 13, 41, 87, 152, 236, 321, 394, 447, 468, 456, 410, 339, 253, 167, 97, 45, 13, 0, 0, 0, 0, 0, 0, 1, 7, 22, 46, 83, 132, 185, 234, 270, 286, 277, 246, 200, 148, 100, 63, 37, 23, 14, 9, 7, 4, 1, 0, 0, 8, 28, 63, 113, 182, 261, 336, 393, 419, 407, 362, 298, 233, 188, 178, 205, 261, 335, 411, 471, 505, 501, 461, 388, 296, 201, 120, 61, 23, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 14, 40, 80, 140, 218, 308, 399, 478, 532, 552, 533, 480, 404, 319, 241, 184, 153, 152, 176, 217, 259, 290, 301, 287, 255, 212, 168, 128, 92, 62, 39, 21, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 7, 8, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 18, 40, 73, 121, 176, 235, 287, 324, 341, 334, 306, 262, 211, 157, 107, 66, 37, 16, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 14, 30, 56, 94, 142, 196, 252, 300, 331, 341, 328, 297, 260, 230, 218, 234, 280, 353, 439, 524, 590, 620, 606, 550, 464, 362, 263, 177, 110, 63, 33, 14, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 29, 52, 87, 133, 192, 263, 337, 405, 453, 470, 454, 411, 354, 298, 258, 241, 248, 274, 310, 343, 367, 376, 370, 351, 325, 297, 275, 264, 271, 299, 346, 404, 460, 500, 512, 492, 445, 383, 322, 275, 253, 257, 284, 321, 355, 377, 379, 359, 322, 274, 223, 172, 125, 82, 50, 25, 9, 0, 0, 0, 4, 14, 30, 56, 92, 136, 187, 242, 294, 338, 367, 377, 363, 326, 270, 204, 135, 80, 39, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 13, 16, 16, 14, 10, 5, 1, 0, 0, 0, 0, 0, 3, 18, 49, 102, 180, 277, 377, 463, 519, 534, 507, 450, 373, 296, 231, 189, 172, 182, 209, 246, 284, 312, 324, 319, 297, 266, 231, 203, 187, 189, 207, 239, 277, 312, 337, 345, 335, 307, 267, 225, 189, 168, 171, 197, 239, 290, 337, 364, 366, 339, 291, 232, 172, 117, 73, 42, 22, 9, 6, 11, 21, 28, 34, 39, 46, 65, 102, 160, 234, 308, 369, 402, 400, 367, 311, 246, 183, 129, 86, 52, 31, 16, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 29, 68, 123, 199, 289, 380, 462, 523, 551, 543, 499, 426, 337, 245, 160, 94, 48, 19, 7, 8, 12, 12, 13, 11, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 4, 4, 4, 2, 8, 35, 84, 156, 254, 366, 473, 559, 608, 613, 575, 501, 406, 309, 226, 169, 148, 162, 205, 264, 321, 360, 369, 348, 306, 256, 216, 197, 203, 233, 278, 324, 361, 379, 372, 343, 302, 262, 234, 226, 240, 271, 314, 362, 407, 441, 457, 451, 419, 365, 296, 220, 148, 89, 46, 18, 6, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 1, 3, 5, 6, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 5, 18, 41, 78, 129, 188, 247, 297, 331, 345, 337, 313, 280, 246, 219, 204, 206, 226, 258, 294, 328, 352, 362, 357, 340, 315, 289, 266, 253, 254, 269, 294, 322, 343, 350, 341, 318, 284, 244, 201, 156, 111, 72, 40, 17, 4, 2, 4, 6, 9, 12, 13, 13, 11, 9, 7, 5, 3, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 7, 6, 4, 2, 0, 4, 17, 39, 76, 130, 200, 279, 360, 429, 478, 499, 489, 452, 398, 337, 282, 242, 222, 222, 237, 259, 280, 295, 299, 292, 274, 243, 201, 150, 100, 58, 27, 11, 8, 12, 17, 22, 25, 25, 22, 18, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 2, 7, 13, 17, 20, 18, 14, 9, 4, 1, 3, 6, 8, 9, 9, 7, 4, 3, 4, 6, 6, 6, 5, 5, 5, 7, 9, 11, 10, 8, 5, 2, 0, 3, 11, 26, 50, 85, 130, 184, 242, 299, 345, 372, 375, 353, 311, 258, 203, 154, 115, 86, 63, 44, 29, 17, 8, 2, 2, 6, 9, 10, 11, 10, 7, 3, 0, 0, 0, 2, 8, 14, 18, 21, 20, 16, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 11, 17, 21, 23, 19, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 13, 12, 10, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 6, 8, 11, 11, 9, 6, 4, 2, 0, 0, 1, 4, 8, 9, 9, 11, 18, 36, 68, 112, 162, 206, 237, 248, 242, 223, 198, 171, 144, 116, 87, 59, 36, 18, 6, 0, 2, 5, 6, 6, 6, 5, 2, 4, 7, 11, 14, 17, 16, 13, 9, 6, 3, 1, 0, 0, 0, 0, 0, 1, 3, 7, 11, 16, 19, 19, 18, 13, 9, 5, 2, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 4, 8, 12, 14, 14, 12, 8, 4, 2, 2, 2, 2, 3, 2, 0, 0, 0, 0, 6, 17, 32, 53, 81, 114, 152, 196, 241, 282, 311, 319, 305, 270, 223, 172, 126, 90, 65, 48, 36, 26, 17, 10, 5, 1, 0, 0, 0, 2, 5, 7, 7, 7, 6, 4, 4, 6, 9, 11, 11, 9, 6, 3, 3, 7, 12, 16, 19, 20, 17, 12, 8, 4, 2, 1, 0, 0, 0, 0, 2, 8, 19, 36, 63, 99, 146, 200, 256, 302, 330, 331, 303, 252, 188, 124, 71, 34, 16, 13, 17, 22, 25, 22, 16, 10, 4, 0, 0, 0, 0, 0, 3, 10, 18, 24, 28, 26, 21, 13, 8, 8, 11, 14, 15, 13, 9, 5, 1, 0, 2, 8, 16, 22, 26, 26, 21, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 16, 33, 56, 89, 133, 183, 240, 298, 348, 379, 384, 364, 325, 281, 248, 238, 256, 297, 351, 403, 441, 454, 440, 400, 342, 273, 202, 136, 82, 43, 19, 6, 2, 4, 7, 10, 12, 12, 10, 7, 3, 1, 0, 0, 2, 5, 8, 8, 8, 8, 9, 12, 16, 20, 20, 18, 13, 7, 2, 0, 0, 0, 0, 2, 6, 9, 11, 13, 11, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 15, 20, 24, 25, 22, 17, 12, 7, 2, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 14, 12, 9, 5, 2, 12, 34, 66, 108, 162, 217, 268, 313, 348, 366, 365, 341, 295, 236, 172, 114, 69, 39, 20, 11, 7, 3, 2, 7, 12, 15, 16, 15, 11, 8, 8, 12, 19, 28, 37, 47, 61, 80, 105, 138, 179, 226, 275, 322, 359, 375, 366, 330, 272, 203, 135, 81, 44, 24, 15, 11, 9, 7, 4, 5, 17, 38, 66, 105, 148, 190, 224, 247, 257, 255, 242, 220, 193, 162, 129, 94, 62, 36, 17, 5, 0, 0, 0, 0, 0, 0, 2, 7, 12, 16, 20, 20, 19, 16, 15, 14, 15, 14, 13, 9, 7, 4, 4, 4, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 7, 6, 6, 7, 4, 8, 35, 78, 135, 202, 273, 332, 376, 403, 412, 399, 364, 309, 238, 164, 99, 50, 19, 4, 0, 1, 3, 3, 3, 3, 2, 0, 3, 10, 18, 25, 28, 26, 21, 14, 15, 31, 62, 106, 160, 216, 267, 307, 332, 336, 323, 293, 253, 209, 168, 131, 100, 71, 47, 28, 13, 3, 0, 0, 0, 0, 0, 1, 5, 9, 13, 15, 15, 12, 8, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 23, 47, 81, 122, 162, 196, 221, 234, 235, 226, 206, 176, 140, 103, 71, 48, 33, 25, 20, 16, 11, 6, 3, 1, 1, 1, 1, 1, 7, 16, 25, 30, 31, 26, 19, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 18, 37, 68, 107, 154, 203, 249, 287, 312, 322, 315, 292, 257, 213, 165, 120, 80, 48, 26, 12, 4, 1, 0, 0, 0, 2, 4, 6, 7, 8, 6, 4, 2, 0, 0, 2, 17, 46, 88, 144, 210, 274, 326, 362, 379, 382, 372, 354, 329, 301, 274, 254, 246, 254, 274, 299, 320, 329, 323, 306, 283, 262, 248, 243, 247, 259, 272, 283, 288, 283, 267, 243, 212, 177, 141, 103, 68, 41, 20, 6, 0, 4, 7, 8, 8, 9, 6, 3, 0, 0, 2, 5, 7, 8, 7, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 12, 30, 56, 92, 138, 185, 228, 262, 281, 279, 258, 221, 177, 133, 94, 65, 44, 28, 18, 10, 4, 0, 0, 7, 27, 62, 110, 171, 236, 294, 338, 365, 371, 358, 332, 296, 259, 228, 209, 203, 208, 221, 233, 242, 245, 243, 236, 225, 206, 178, 139, 97, 60, 30, 8, 0, 3, 7, 8, 7, 8, 6, 2, 0, 1, 2, 2, 2, 1, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 14, 28, 52, 88, 134, 186, 237, 278, 298, 295, 270, 228, 180, 131, 89, 54, 30, 14, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 13, 16, 17, 14, 10, 5, 1, 0, 0, 0, 0, 0, 3, 8, 13, 20, 30, 44, 67, 103, 153, 214, 279, 339, 386, 414, 419, 404, 371, 322, 264, 201, 139, 86, 47, 20, 5, 0, 0, 0, 5, 12, 18, 24, 27, 26, 21, 14, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 32, 60, 100, 149, 204, 260, 312, 354, 380, 387, 374, 342, 303, 267, 246, 245, 263, 293, 322, 342, 347, 334, 306, 265, 216, 166, 120, 85, 62, 50, 44, 40, 34, 26, 16, 9, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 7, 9, 9, 8, 6, 4, 2, 1, 1, 0, 0, 3, 9, 15, 19, 24, 27, 36, 53, 84, 125, 173, 218, 255, 279, 290, 288, 275, 257, 239, 227, 227, 242, 268, 298, 322, 334, 331, 318, 301, 287, 282, 286, 298, 315, 330, 340, 338, 322, 289, 245, 195, 146, 106, 76, 55, 40, 27, 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 6, 5, 4, 2, 0, 0, 0, 1, 3, 4, 6, 7, 8, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 1, 3, 3, 3, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 2, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 2, 5, 8, 9, 9, 8, 5, 2, 2, 4, 6, 7, 7, 6, 4, 1, 0, 0, 1, 4, 7, 12, 18, 21, 21, 17, 13, 8, 3, 0, 2, 5, 6, 8, 14, 27, 49, 79, 112, 142, 166, 182, 193, 203, 212, 220, 227, 230, 232, 237, 247, 261, 277, 292, 302, 304, 293, 266, 223, 167, 112, 65, 28, 6, 2, 7, 11, 15, 22, 35, 53, 81, 118, 159, 196, 222, 234, 234, 226, 212, 194, 171, 145, 116, 87, 63, 49, 45, 45, 47, 46, 42, 34, 26, 18, 12, 8, 5, 2, 0, 0, 0, 0, 1, 5, 11, 16, 22, 25, 25, 21, 15, 10, 5, 2, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 5, 12, 20, 27, 32, 31, 24, 16, 9, 3, 0, 2, 5, 8, 9, 9, 8, 5, 3, 9, 20, 30, 39, 49, 57, 66, 81, 100, 120, 137, 149, 153, 150, 141, 125, 103, 76, 51, 29, 11, 6, 11, 23, 36, 53, 69, 84, 102, 125, 156, 191, 230, 265, 293, 309, 311, 299, 273, 235, 188, 138, 90, 53, 28, 16, 15, 20, 30, 42, 58, 77, 101, 129, 160, 192, 223, 250, 268, 275, 269, 249, 220, 186, 152, 119, 93, 70, 51, 34, 21, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 23, 39, 61, 89, 122, 157, 188, 213, 231, 242, 246, 244, 235, 222, 205, 190, 180, 177, 180, 184, 187, 184, 175, 160, 137, 111, 84, 62, 46, 39, 37, 34, 29, 23, 16, 15, 21, 34, 50, 69, 93, 120, 152, 184, 212, 230, 232, 220, 196, 166, 134, 104, 78, 54, 34, 21, 10, 3, 0, 0, 2, 12, 26, 45, 67, 92, 114, 136, 156, 175, 189, 194, 188, 172, 148, 120, 89, 62, 39, 22, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 17, 36, 63, 93, 123, 147, 161, 166, 166, 162, 155, 143, 124, 98, 68, 42, 20, 5, 0, 0, 0, 3, 15, 36, 64, 94, 122, 142, 153, 161, 168, 180, 193, 204, 208, 207, 202, 199, 203, 210, 218, 220, 215, 199, 177, 152, 128, 106, 88, 74, 61, 49, 37, 26, 16, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 25, 44, 68, 96, 123, 148, 172, 193, 212, 225, 233, 233, 228, 220, 212, 205, 205, 211, 222, 236, 251, 261, 266, 266, 263, 262, 263, 264, 263, 257, 247, 232, 217, 203, 191, 179, 164, 146, 126, 104, 84, 67, 53, 42, 35, 31, 33, 40, 53, 72, 96, 123, 151, 175, 194, 207, 214, 216, 212, 203, 187, 165, 137, 106, 75, 48, 27, 14, 10, 12, 19, 30, 47, 70, 99, 136, 177, 214, 244, 261, 265, 256, 235, 205, 168, 126, 86, 51, 27, 15, 13, 16, 18, 17, 14, 9, 3, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 12, 15, 18, 20, 25, 37, 59, 90, 126, 157, 178, 185, 179, 166, 147, 128, 108, 88, 68, 50, 35, 22, 14, 8, 4, 1, 2, 6, 9, 10, 10, 9, 7, 7, 9, 11, 12, 11, 8, 4, 1, 0, 0, 0, 0, 3, 6, 9, 11, 15, 20, 29, 45, 67, 92, 118, 140, 155, 161, 161, 153, 139, 118, 94, 69, 46, 27, 16, 11, 9, 8, 8, 6, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 22, 30, 33, 31, 25, 17, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 16, 22, 25, 24, 19, 13, 6, 1, 0, 0, 2, 6, 10, 14, 16, 14, 11, 7, 3, 0, 1, 5, 10, 16, 21, 24, 22, 17, 12, 6, 2, 0, 0, 0, 0, 0, 0, 1, 4, 7, 8, 9, 8, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 3, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 3, 9, 18, 28, 41, 54, 70, 89, 111, 133, 152, 166, 172, 174, 172, 166, 155, 135, 107, 75, 46, 21, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 8, 7, 5, 3, 1, 0, 0, 4, 16, 35, 60, 92, 126, 157, 183, 204, 219, 229, 234, 235, 232, 227, 222, 219, 219, 223, 230, 240, 249, 257, 260, 258, 249, 232, 205, 170, 129, 87, 52, 25, 9, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 11, 25, 42, 62, 84, 107, 129, 153, 179, 205, 227, 243, 250, 250, 240, 223, 198, 167, 130, 93, 62, 40, 29, 25, 25, 24, 22, 17, 11, 6, 3, 1, 0, 1, 5, 10, 14, 16, 16, 13, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 23, 37, 52, 65, 76, 84, 95, 111, 132, 156, 182, 205, 223, 236, 244, 250, 254, 256, 259, 263, 269, 278, 290, 302, 311, 312, 304, 289, 273, 262, 262, 270, 282, 290, 289, 278, 260, 243, 229, 220, 215, 211, 208, 206, 203, 202, 202, 199, 192, 182, 168, 152, 136, 119, 102, 83, 64, 43, 26, 14, 4, 0, 0, 0, 0, 0, 1, 3, 6, 10, 16, 22, 26, 28, 27, 21, 15, 9, 4, 0, 0, 0, 0, 4, 9, 15, 19, 19, 17, 13, 7, 2, 7, 15, 25, 35, 47, 58, 70, 85, 104, 127, 153, 179, 202, 222, 234, 239, 231, 215, 191, 164, 139, 119, 102, 86, 68, 49, 32, 16, 4, 1, 5, 8, 9, 9, 9, 6, 4, 7, 13, 19, 22, 23, 18, 13, 6, 1, 0, 0, 1, 3, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 4, 11, 22, 31, 38, 37, 31, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 1, 0, 0, 3, 8, 13, 17, 20, 19, 15, 10, 5, 1, 0, 0, 1, 4, 8, 12, 14, 13, 11, 7, 7, 16, 36, 62, 90, 115, 132, 137, 137, 134, 131, 129, 125, 119, 109, 97, 87, 80, 76, 71, 64, 52, 38, 25, 17, 21, 37, 63, 92, 119, 138, 146, 146, 141, 136, 132, 131, 131, 129, 126, 119, 104, 83, 60, 38, 19, 6, 0, 0, 0, 0, 1, 5, 9, 14, 17, 19, 20, 21, 27, 37, 53, 72, 93, 116, 139, 163, 186, 206, 219, 221, 211, 192, 167, 141, 116, 95, 78, 62, 47, 34, 23, 14, 8, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 4, 6, 10, 14, 18, 23, 29, 37, 48, 63, 80, 98, 117, 135, 153, 171, 184, 191, 187, 170, 142, 107, 72, 42, 23, 13, 10, 10, 9, 7, 5, 2, 0, 0, 2, 7, 14, 20, 26, 30, 30, 28, 27, 32, 46, 72, 107, 149, 188, 216, 231, 233, 226, 217, 212, 209, 201, 184, 156, 118, 78, 44, 22, 11, 9, 9, 9, 7, 4, 1, 0, 2, 6, 9, 11, 13, 11, 8, 4, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 3, 6, 8, 9, 9, 7, 4, 1, 0, 1, 1, 1, 1, 0, 0, 0, 2, 9, 19, 33, 53, 74, 97, 120, 144, 168, 193, 214, 232, 243, 247, 242, 230, 211, 185, 156, 124, 95, 69, 50, 34, 22, 14, 8, 2, 0, 3, 8, 13, 17, 21, 24, 27, 32, 38, 45, 52, 60, 69, 79, 92, 109, 128, 150, 174, 200, 223, 243, 256, 262, 259, 250, 234, 219, 206, 203, 210, 225, 240, 248, 240, 215, 176, 133, 96, 71, 59, 57, 56, 50, 40, 28, 15, 6, 0, 0, 0, 0, 0, 0, 0, 1, 5, 10, 14, 18, 18, 14, 10, 5, 1, 0, 0, 0, 1, 6, 12, 19, 25, 30, 29, 24, 18, 11, 5, 4, 7, 11, 15, 16, 14, 11, 6, 1, 1, 2, 3, 2, 3, 2, 1, 0, 0, 0, 0, 1, 4, 7, 9, 10, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 6, 18, 35, 56, 83, 110, 136, 160, 182, 199, 206, 200, 181, 152, 117, 84, 57, 38, 27, 21, 20, 25, 36, 52, 72, 94, 115, 134, 150, 162, 174, 185, 198, 210, 221, 230, 232, 225, 206, 176, 138, 99, 65, 42, 30, 29, 31, 34, 32, 25, 17, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 13, 26, 40, 52, 58, 57, 53, 52, 59, 74, 93, 110, 118, 117, 109, 97, 87, 78, 68, 56, 41, 27, 14, 6, 5, 8, 10, 10, 9, 6, 2, 0, 4, 11, 19, 27, 34, 35, 32, 25, 17, 12, 11, 18, 32, 54, 81, 110, 139, 165, 187, 204, 214, 219, 217, 210, 203, 200, 205, 220, 241, 262, 276, 279, 267, 243, 210, 174, 140, 111, 90, 75, 67, 61, 54, 44, 32, 20, 10, 2, 0, 1, 6, 12, 16, 20, 22, 21, 19, 19, 20, 22, 23, 23, 19, 14, 8, 5, 7, 19, 39, 64, 94, 125, 151, 170, 181, 184, 178, 164, 147, 130, 115, 106, 103, 102, 98, 89, 75, 55, 36, 20, 8, 1, 0, 0, 0, 1, 6, 13, 22, 28, 32, 29, 23, 15, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 23, 35, 47, 63, 81, 100, 117, 127, 128, 120, 106, 91, 82, 77, 75, 73, 65, 53, 38, 27, 20, 20, 27, 40, 59, 81, 105, 127, 141, 147, 141, 131, 119, 112, 110, 112, 114, 110, 97, 76, 53, 32, 14, 5, 5, 7, 8, 8, 7, 5, 4, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 11, 14, 16, 16, 14, 11, 7, 3, 0, 0, 0, 0, 0, 1, 8, 21, 40, 63, 89, 111, 127, 134, 133, 128, 121, 114, 109, 104, 98, 90, 78, 65, 51, 38, 27, 17, 10, 5, 2, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 14, 25, 35, 44, 51, 57, 66, 82, 105, 132, 155, 167, 163, 141, 107, 72, 40, 17, 2, 0, 0, 3, 11, 23, 39, 61, 83, 102, 116, 124, 126, 121, 114, 106, 100, 97, 96, 96, 96, 92, 84, 72, 57, 41, 26, 14, 6, 4, 7, 11, 13, 13, 12, 8, 4, 1, 0, 0, 0, 0, 6, 21, 41, 65, 92, 114, 127, 134, 135, 135, 135, 136, 134, 126, 109, 84, 58, 34, 15, 3, 9, 21, 33, 42, 48, 44, 33, 20, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 14, 14, 12, 8, 4, 0, 0, 0, 0, 1, 1, 2, 5, 9, 15, 21, 25, 25, 21, 16, 11, 10, 15, 27, 40, 51, 58, 58, 53, 48, 47, 50, 56, 64, 68, 68, 65, 62, 61, 62, 60, 53, 41, 28, 15, 7, 6, 9, 12, 16, 19, 23, 25, 28, 27, 22, 17, 10, 4, 0, 1, 1, 2, 2, 2, 1, 0, 0, 0, 1, 4, 7, 9, 11, 9, 8, 5, 2, 2, 5, 7, 8, 9, 8, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 11, 11, 9, 6, 3, 0, 0, 0, 0, 0, 0, 2, 5, 9, 13, 17, 19, 23, 29, 39, 53, 66, 77, 82, 80, 76, 74, 78, 85, 94, 99, 98, 90, 77, 62, 49, 38, 26, 18, 10, 4, 0, 2, 7, 11, 14, 15, 13, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 18, 33, 50, 68, 84, 98, 109, 118, 126, 135, 145, 156, 168, 179, 186, 187, 181, 171, 158, 149, 145, 148, 152, 154, 149, 138, 122, 108, 100, 100, 106, 111, 111, 102, 84, 61, 40, 23, 12, 8, 6, 5, 4, 2, 0, 0, 5, 15, 28, 41, 57, 71, 84, 97, 113, 132, 152, 168, 178, 178, 172, 161, 151, 143, 140, 138, 134, 125, 108, 84, 57, 35, 18, 14, 22, 40, 60, 81, 96, 103, 105, 104, 105, 110, 118, 125, 127, 122, 109, 90, 70, 52, 37, 26, 18, 13, 10, 9, 9, 8, 6, 5, 3, 1, 0, 0, 0, 0, 2, 5, 10, 17, 23, 27, 25, 21, 15, 8, 3, 4, 10, 18, 27, 39, 52, 66, 81, 98, 115, 132, 147, 160, 169, 170, 164, 151, 136, 121, 113, 109, 109, 106, 97, 82, 64, 50, 44, 45, 53, 63, 71, 76, 80, 87, 97, 110, 124, 134, 136, 128, 112, 90, 70, 56, 51, 52, 57, 59, 53, 42, 29, 15, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 22, 35, 47, 53, 49, 39, 26, 14, 3, 0, 1, 3, 3, 3, 3, 2, 2, 7, 15, 23, 30, 34, 36, 37, 42, 53, 70, 92, 115, 137, 155, 168, 174, 174, 169, 162, 155, 149, 146, 143, 136, 124, 106, 83, 59, 39, 26, 20, 19, 21, 22, 21, 17, 12, 8, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 15, 19, 19, 17, 12, 6, 7, 17, 30, 42, 54, 61, 63, 63, 62, 62, 60, 55, 46, 37, 33, 36, 48, 66, 83, 95, 97, 89, 76, 62, 48, 37, 27, 18, 12, 6, 3, 9, 21, 33, 42, 45, 40, 30, 17, 6, 0, 3, 7, 10, 11, 12, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 8, 10, 10, 8, 6, 4, 5, 7, 8, 8, 7, 5, 2, 0, 0, 0, 5, 16, 31, 45, 57, 60, 52, 39, 24, 10, 2, 0, 2, 4, 4, 4, 4, 2, 3, 6, 14, 22, 30, 35, 35, 30, 22, 14, 6, 2, 0, 0, 1, 4, 7, 10, 12, 12, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 14, 15, 13, 11, 10, 12, 18, 24, 27, 24, 19, 12, 5, 6, 16, 27, 38, 46, 45, 37, 26, 15, 6, 1, 0, 0, 3, 8, 13, 15, 17, 14, 10, 5, 1, 2, 5, 7, 7, 7, 6, 3, 4, 12, 24, 37, 48, 52, 45, 35, 21, 9, 2, 9, 20, 33, 43, 48, 44, 34, 22, 10, 2, 3, 9, 16, 23, 28, 29, 24, 17, 10, 5, 2, 2, 2, 2, 2, 1, 4, 9, 14, 17, 20, 19, 16, 14, 12, 12, 11, 9, 7, 5, 2, 4, 10, 17, 22, 27, 26, 21, 14, 8, 3, 2, 7, 15, 24, 33, 39, 40, 36, 28, 19, 11, 5, 1, 0, 0, 0, 0, 0, 0, 1, 2, 5, 6, 8, 9, 10, 12, 16, 20, 24, 23, 19, 14, 8, 3, 0, 1, 2, 2, 2, 2, 2, 0, 3, 9, 17, 23, 29, 28, 23, 16, 8, 2, 4, 12, 23, 33, 42, 45, 42, 34, 25, 17, 13, 11, 12, 11, 9, 7, 4, 1, 1, 8, 18, 30, 41, 48, 46, 38, 26, 17, 11, 12, 15, 20, 22, 21, 17, 11, 6, 2, 2, 5, 10, 16, 21, 25, 25, 23, 20, 20, 22, 28, 33, 35, 33, 26, 17, 9, 3, 0, 0, 0, 1, 4, 9, 13, 16, 15, 13, 9, 4, 2, 5, 9, 13, 16, 19, 23, 26, 33, 40, 46, 46, 41, 31, 20, 10, 3, 0, 1, 4, 8, 14, 19, 22, 21, 17, 12, 6, 2, 3, 9, 17, 23, 25, 23, 18, 11, 5, 8, 19, 30, 39, 45, 45, 39, 31, 24, 19, 16, 13, 10, 7, 3, 0, 2, 6, 8, 9, 11, 12, 14, 18, 23, 27, 28, 23, 17, 10, 5, 4, 8, 13, 16, 19, 20, 20, 21, 24, 27, 32, 35, 37, 38, 38, 38, 38, 36, 34, 30, 27, 25, 24, 25, 24, 21, 17, 11, 6, 1, 0, 2, 5, 7, 8, 8, 7, 4, 1, 0, 1, 5, 9, 13, 14, 13, 10, 7, 2, 7, 19, 34, 48, 60, 62, 52, 38, 23, 10, 3, 8, 17, 29, 39, 47, 49, 45, 37, 29, 25, 23, 23, 24, 24, 21, 15, 10, 5, 2, 0, 0, 0, 2, 6, 12, 20, 28, 34, 37, 37, 36, 34, 35, 37, 37, 34, 27, 19, 11, 4, 4, 8, 11, 12, 13, 10, 6, 5, 7, 12, 14, 15, 13, 10, 5, 2, 1, 1, 1, 1, 1, 0, 0, 1, 6, 12, 17, 22, 23, 19, 14, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 24, 35, 44, 52, 53, 50, 44, 36, 26, 19, 14, 12, 13, 16, 21, 26, 29, 31, 30, 29, 25, 21, 17, 13, 9, 6, 6, 9, 16, 25, 34, 40, 40, 35, 26, 16, 7, 2, 0, 0, 3, 7, 11, 14, 16, 14, 11, 6, 4, 7, 15, 21, 24, 24, 20, 13, 6, 2, 5, 8, 11, 12, 13, 13, 14, 18, 25, 31, 35, 36, 34, 28, 23, 19, 16, 15, 15, 16, 18, 19, 20, 18, 14, 9, 5, 2, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1, 4, 7, 8, 9, 8, 6, 3, 1, 0, 0, 1, 6, 15, 27, 41, 52, 57, 53, 41, 28, 15, 5, 0, 1, 6, 11, 18, 26, 35, 43, 52, 64, 80, 101, 123, 145, 163, 173, 174, 164, 147, 129, 113, 105, 105, 109, 113, 113, 106, 95, 81, 67, 53, 41, 28, 19, 9, 4, 6, 11, 17, 21, 25, 26, 28, 34, 46, 62, 80, 95, 103, 101, 95, 88, 84, 88, 99, 115, 131, 143, 148, 146, 137, 124, 109, 94, 78, 62, 47, 32, 20, 10, 4, 0, 0, 5, 11, 18, 23, 25, 22, 17, 9, 3, 0, 5, 14, 23, 29, 33, 29, 23, 13, 5, 0, 0, 0, 0, 0, 0, 0, 2, 7, 11, 15, 16, 15, 11, 7, 2, 0, 5, 11, 17, 24, 30, 33, 33, 33, 33, 31, 30, 27, 22, 17, 14, 15, 22, 29, 35, 37, 32, 24, 15, 6, 1, 0, 0, 0, 1, 3, 7, 12, 18, 22, 25, 24, 20, 14, 9, 4, 1, 5, 13, 25, 39, 54, 66, 73, 74, 70, 64, 60, 59, 61, 68, 75, 80, 81, 80, 75, 71, 65, 61, 55, 48, 41, 34, 28, 24, 23, 21, 18, 13, 9, 6, 4, 5, 8, 9, 8, 7, 5, 2, 0, 6, 14, 22, 27, 30, 28, 26, 28, 41, 61, 86, 108, 120, 120, 111, 100, 95, 101, 117, 137, 152, 156, 148, 130, 109, 92, 83, 80, 82, 82, 78, 69, 58, 45, 33, 22, 14, 8, 3, 6, 16, 27, 35, 40, 36, 28, 17, 7, 1, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 0, 0, 1, 3, 6, 8, 8, 7, 6, 3, 1, 1, 7, 15, 24, 34, 43, 51, 56, 60, 66, 72, 80, 90, 99, 109, 116, 119, 115, 105, 90, 72, 58, 50, 48, 49, 53, 54, 48, 38, 26, 16, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 17, 26, 31, 33, 28, 21, 12, 4, 0, 5, 12, 18, 24, 27, 24, 19, 14, 13, 18, 29, 45, 62, 78, 89, 96, 98, 94, 87, 79, 69, 56, 44, 33, 23, 15, 11, 9, 7, 5, 4, 2, 1, 0, 0, 0, 1, 3, 7, 11, 16, 20, 22, 25, 26, 27, 24, 19, 15, 9, 3, 3, 10, 19, 28, 36, 42, 47, 52, 61, 74, 90, 103, 111, 114, 111, 107, 102, 101, 103, 109, 118, 130, 143, 157, 167, 172, 171, 164, 150, 133, 110, 85, 60, 38, 21, 11, 10, 18, 31, 45, 58, 65, 64, 55, 41, 27, 15, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 15, 18, 19, 16, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 3, 3, 3, 2, 1, 5, 12, 22, 32, 43, 50, 54, 53, 50, 44, 37, 30, 25, 23, 26, 34, 45, 56, 65, 67, 61, 50, 38, 30, 32, 45, 65, 85, 100, 105, 103, 99, 99, 106, 118, 132, 142, 145, 142, 140, 141, 151, 164, 176, 178, 169, 148, 122, 95, 72, 55, 40, 28, 19, 10, 3, 6, 16, 29, 42, 57, 65, 63, 54, 39, 26, 13, 4, 0, 0, 3, 8, 13, 17, 19, 17, 13, 7, 3, 0, 2, 5, 10, 16, 23, 27, 28, 26, 21, 15, 9, 4, 2, 5, 9, 15, 22, 30, 38, 47, 58, 68, 77, 83, 87, 89, 91, 94, 97, 98, 94, 86, 75, 65, 59, 59, 64, 69, 70, 63, 48, 32, 17, 5, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 20, 28, 33, 33, 26, 18, 11, 10, 13, 18, 21, 21, 17, 11, 5, 1, 0, 0, 0, 0, 0, 0, 1, 7, 16, 26, 35, 40, 39, 31, 22, 11, 4, 0, 0, 0, 1, 4, 6, 8, 9, 8, 6, 6, 7, 11, 14, 15, 14, 11, 7, 3, 2, 10, 24, 43, 67, 94, 115, 131, 140, 143, 143, 141, 137, 133, 125, 113, 98, 82, 69, 60, 57, 61, 68, 76, 82, 85, 85, 81, 72, 59, 42, 28, 15, 5, 0, 0, 0, 1, 3, 7, 10, 13, 13, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 6, 16, 27, 37, 44, 44, 36, 28, 24, 29, 44, 66, 88, 102, 103, 89, 66, 42, 22, 6, 3, 10, 19, 27, 35, 39, 37, 30, 21, 12, 6, 1, 0, 0, 3, 9, 18, 28, 37, 44, 46, 44, 41, 40, 41, 44, 46, 45, 40, 32, 21, 12, 5, 1, 0, 0, 4, 9, 16, 23, 30, 32, 31, 28, 26, 25, 28, 34, 42, 51, 59, 66, 72, 78, 80, 79, 74, 64, 51, 37, 23, 12, 6, 3, 3, 3, 7, 11, 18, 26, 33, 37, 37, 31, 23, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 15, 16, 14, 11, 7, 6, 5, 5, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 15, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 10, 22, 35, 47, 54, 52, 43, 31, 20, 13, 14, 21, 30, 39, 47, 53, 58, 63, 71, 79, 85, 86, 81, 67, 48, 31, 16, 8, 11, 23, 38, 55, 69, 79, 84, 88, 90, 93, 96, 98, 99, 97, 94, 91, 88, 86, 84, 80, 75, 69, 63, 54, 44, 33, 22, 13, 8, 8, 13, 22, 29, 32, 30, 24, 16, 8, 2, 0, 1, 3, 3, 3, 3, 2, 1, 0, 2, 6, 9, 12, 14, 14, 13, 11, 11, 10, 10, 9, 7, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 14, 29, 45, 58, 64, 57, 45, 29, 14, 6, 15, 32, 54, 76, 96, 105, 102, 91, 75, 61, 53, 51, 54, 61, 67, 70, 69, 64, 56, 46, 37, 27, 19, 12, 8, 4, 2, 0, 0, 0, 0, 0, 1, 5, 10, 15, 19, 20, 17, 12, 7, 2, 2, 6, 10, 12, 12, 10, 7, 2, 2, 14, 33, 55, 81, 105, 120, 124, 119, 108, 94, 82, 72, 66, 64, 68, 77, 90, 104, 118, 126, 127, 120, 106, 89, 71, 58, 50, 49, 53, 59, 64, 65, 61, 51, 40, 29, 22, 18, 19, 21, 21, 19, 15, 10, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 15, 21, 25, 26, 24, 20, 19, 21, 28, 38, 49, 59, 68, 75, 81, 88, 97, 107, 116, 122, 122, 117, 105, 93, 81, 76, 76, 81, 87, 90, 87, 79, 67, 54, 44, 39, 37, 38, 40, 42, 45, 50, 58, 69, 80, 89, 93, 91, 82, 71, 59, 50, 44, 41, 37, 33, 27, 20, 15, 15, 19, 28, 40, 54, 67, 79, 87, 91, 89, 80, 64, 46, 29, 15, 9, 14, 29, 46, 64, 75, 77, 68, 50, 33, 17, 6, 0, 0, 1, 4, 8, 13, 19, 24, 29, 35, 40, 45, 52, 60, 69, 79, 88, 93, 93, 86, 73, 58, 44, 32, 26, 23, 20, 16, 12, 8, 3, 1, 4, 7, 11, 14, 17, 19, 22, 26, 33, 39, 41, 39, 30, 21, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 18, 27, 35, 39, 37, 29, 20, 11, 4, 0, 0, 3, 6, 10, 15, 22, 29, 36, 44, 51, 52, 49, 42, 34, 28, 30, 40, 59, 83, 108, 128, 141, 146, 141, 131, 118, 103, 89, 80, 75, 75, 78, 80, 79, 75, 69, 63, 62, 69, 81, 97, 110, 117, 114, 104, 91, 80, 74, 75, 79, 84, 86, 87, 85, 84, 84, 87, 90, 91, 86, 77, 64, 51, 40, 33, 32, 35, 40, 45, 47, 45, 39, 30, 21, 12, 6, 1, 0, 0, 0, 0, 0, 2, 4, 6, 8, 9, 10, 11, 15, 21, 27, 30, 30, 24, 17, 10, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 13, 19, 24, 27, 29, 31, 32, 35, 37, 38, 37, 33, 28, 19, 13, 7, 3, 0, 0, 1, 3, 6, 9, 10, 9, 8, 5, 2, 0, 0, 2, 5, 7, 8, 7, 6, 3, 1, 0, 1, 7, 15, 24, 33, 37, 35, 27, 18, 9, 2, 0, 0, 3, 8, 15, 21, 26, 26, 23, 18, 15, 16, 22, 30, 37, 40, 37, 28, 19, 10, 3, 0, 0, 0, 0, 3, 9, 18, 27, 36, 40, 41, 36, 30, 23, 21, 24, 33, 43, 54, 62, 64, 63, 59, 55, 53, 55, 59, 66, 73, 80, 85, 88, 89, 86, 81, 75, 69, 64, 62, 61, 64, 68, 73, 79, 86, 91, 93, 92, 87, 77, 64, 50, 38, 28, 22, 20, 18, 18, 15, 14, 13, 16, 22, 31, 38, 42, 39, 30, 21, 11, 5, 7, 14, 22, 27, 28, 24, 17, 9, 2, 4, 15, 28, 42, 56, 64, 62, 53, 40, 28, 19, 17, 20, 25, 29, 30, 27, 20, 13, 6, 1, 0, 2, 6, 9, 12, 14, 13, 10, 6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 11, 15, 16, 15, 11, 7, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 1, 1, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 14, 15, 17, 20, 25, 31, 37, 40, 40, 37, 32, 28, 29, 35, 45, 59, 71, 77, 77, 70, 58, 45, 36, 33, 37, 46, 56, 65, 71, 75, 77, 81, 85, 90, 94, 97, 97, 96, 95, 95, 99, 105, 113, 119, 121, 118, 109, 95, 81, 71, 69, 76, 90, 108, 124, 132, 129, 116, 94, 71, 51, 40, 39, 47, 59, 71, 79, 78, 69, 55, 39, 26, 16, 13, 15, 21, 28, 33, 34, 30, 23, 15, 10, 9, 12, 18, 23, 25, 23, 18, 11, 8, 12, 25, 44, 67, 88, 100, 100, 88, 68, 45, 25, 11, 8, 13, 24, 34, 46, 53, 56, 54, 48, 40, 31, 23, 16, 14, 16, 24, 35, 47, 57, 63, 61, 54, 42, 30, 21, 16, 17, 21, 28, 35, 39, 42, 44, 45, 48, 53, 60, 67, 73, 76, 74, 67, 55, 40, 26, 15, 8, 8, 16, 27, 37, 44, 44, 36, 25, 14, 5, 0, 3, 11, 21, 30, 37, 38, 32, 23, 13, 5, 4, 10, 19, 25, 29, 27, 22, 14, 7, 2, 6, 16, 30, 45, 62, 75, 82, 84, 80, 72, 60, 45, 31, 19, 9, 2, 2, 8, 15, 23, 30, 34, 32, 25, 17, 9, 6, 8, 15, 24, 34, 39, 39, 34, 24, 15, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 11, 14, 13, 11, 7, 4, 0, 0, 2, 6, 8, 10, 12, 12, 10, 8, 8, 8, 10, 12, 16, 21, 30, 41, 54, 67, 77, 81, 78, 71, 59, 49, 42, 40, 41, 46, 50, 53, 51, 45, 37, 26, 16, 8, 3, 0, 0, 0, 4, 9, 15, 20, 24, 23, 19, 13, 7, 3, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 3, 7, 14, 21, 29, 35, 40, 42, 44, 46, 49, 53, 57, 61, 60, 54, 42, 30, 18, 8, 6, 15, 29, 46, 64, 77, 81, 76, 65, 51, 40, 35, 37, 45, 58, 67, 72, 68, 57, 40, 25, 12, 3, 0, 0, 0, 4, 14, 27, 43, 59, 71, 74, 70, 59, 48, 39, 36, 40, 49, 61, 72, 78, 77, 69, 57, 43, 33, 28, 30, 38, 49, 59, 66, 67, 62, 51, 39, 27, 17, 13, 14, 21, 32, 46, 60, 71, 79, 80, 77, 69, 59, 49, 42, 37, 35, 35, 34, 30, 24, 17, 11, 5, 1, 0, 3, 8, 14, 22, 31, 40, 47, 52, 54, 51, 42, 30, 19, 9, 2, 0, 3, 10, 20, 29, 37, 41, 38, 29, 20, 11, 4, 0, 0, 0, 0, 0, 1, 3, 3, 4, 4, 3, 1, 0, 0, 0, 1, 4, 9, 14, 20, 24, 27, 28, 29, 28, 25, 22, 17, 12, 7, 4, 1, 1, 2, 4, 7, 10, 12, 14, 16, 16, 17, 19, 20, 23, 28, 34, 41, 48, 53, 56, 54, 49, 42, 35, 31, 28, 29, 31, 35, 37, 37, 35, 33, 32, 32, 32, 37, 42, 48, 54, 61, 68, 75, 83, 89, 93, 93, 89, 81, 73, 66, 61, 62, 69, 80, 92, 103, 110, 110, 102, 89, 73, 58, 47, 43, 44, 49, 55, 58, 55, 47, 36, 25, 14, 8, 6, 7, 10, 12, 14, 14, 14, 15, 19, 26, 34, 42, 48, 51, 50, 46, 42, 39, 37, 36, 35, 34, 31, 28, 27, 29, 37, 49, 64, 77, 86, 85, 75, 58, 39, 22, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 17, 27, 34, 40, 42, 42, 40, 35, 28, 21, 14, 8, 4, 0, 0, 2, 4, 6, 7, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 10, 15, 21, 27, 31, 34, 36, 36, 34, 29, 23, 16, 10, 6, 6, 13, 24, 38, 52, 63, 69, 68, 60, 48, 34, 21, 11, 4, 1, 0, 0, 0, 5, 16, 31, 50, 70, 84, 89, 84, 70, 51, 32, 19, 14, 17, 26, 36, 43, 46, 43, 37, 31, 28, 31, 37, 45, 50, 50, 44, 32, 21, 11, 3, 0, 3, 10, 19, 27, 33, 34, 29, 20, 11, 5, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 2, 3, 3, 2, 2, 1, 0, 0, 3, 6, 9, 12, 14, 14, 13, 12, 14, 20, 28, 38, 48, 55, 58, 57, 52, 46, 41, 39, 42, 47, 56, 65, 71, 74, 74, 73, 72, 72, 74, 76, 75, 74, 69, 63, 54, 46, 38, 32, 26, 22, 21, 21, 22, 26, 31, 37, 42, 46, 47, 45, 39, 32, 24, 17, 12, 8, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 7, 8, 7, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 10, 12, 14, 14, 13, 12, 11, 12, 15, 20, 28, 34, 39, 40, 39, 36, 35, 37, 44, 54, 66, 77, 82, 82, 75, 61, 44, 29, 16, 6, 1, 0, 0, 1, 2, 2, 3, 5, 7, 10, 17, 24, 32, 36, 36, 32, 24, 16, 8, 2, 2, 10, 24, 40, 60, 78, 91, 97, 97, 93, 90, 88, 87, 88, 89, 89, 88, 85, 82, 79, 78, 78, 79, 80, 77, 73, 67, 60, 53, 48, 46, 45, 43, 39, 32, 24, 15, 7, 2, 0, 4, 9, 16, 23, 30, 34, 34, 32, 27, 21, 14, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 8, 10, 11, 13, 16, 24, 35, 47, 57, 65, 67, 62, 52, 42, 32, 25, 22, 23, 26, 28, 27, 24, 19, 12, 8, 8, 11, 19, 29, 39, 47, 53, 56, 56, 54, 49, 42, 33, 22, 14, 7, 2, 0, 1, 8, 19, 33, 48, 61, 67, 62, 49, 34, 20, 9, 1, 0, 5, 15, 30, 47, 66, 80, 84, 80, 67, 50, 33, 18, 7, 2, 4, 10, 19, 30, 44, 55, 63, 66, 64, 55, 42, 28, 16, 7, 1, 0, 0, 2, 7, 14, 22, 31, 36, 36, 33, 26, 17, 10, 6, 3, 4, 6, 7, 9, 10, 8, 7, 6, 6, 8, 11, 14, 14, 14, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 17, 28, 40, 50, 56, 57, 53, 45, 34, 23, 13, 6, 4, 9, 21, 37, 58, 79, 98, 111, 114, 107, 93, 71, 49, 30, 18, 14, 19, 29, 40, 49, 52, 48, 40, 28, 17, 8, 4, 3, 6, 8, 9, 7, 6, 3, 1, 0, 2, 6, 9, 12, 14, 13, 10, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 14, 21, 27, 28, 24, 18, 11, 5, 0, 0, 0, 0, 0, 0, 3, 7, 13, 19, 23, 23, 18, 13, 8, 2, 0, 2, 8, 17, 27, 38, 46, 49, 48, 44, 39, 36, 36, 41, 48, 57, 64, 68, 70, 66, 62, 55, 47, 39, 33, 27, 23, 21, 22, 25, 32, 40, 49, 56, 61, 63, 61, 57, 52, 45, 40, 35, 33, 31, 31, 31, 29, 27, 24, 19, 15, 11, 8, 5, 5, 5, 7, 11, 16, 21, 26, 30, 32, 30, 27, 21, 14, 9, 4, 1, 2, 7, 14, 23, 35, 45, 55, 63, 68, 69, 69, 66, 62, 57, 53, 51, 51, 54, 58, 64, 69, 71, 68, 60, 47, 32, 19, 9, 2, 0, 0, 0, 2, 4, 7, 8, 10, 9, 7, 4, 2, 0, 0, 0, 2, 4, 7, 9, 12, 13, 14, 14, 13, 12, 10, 7, 4, 2, 0, 0, 1, 3, 7, 10, 12, 12, 10, 7, 3, 1, 0, 4, 9, 14, 20, 23, 22, 17, 12, 6, 1, 0, 2, 7, 14, 20, 26, 27, 23, 17, 10, 4, 0, 0, 5, 12, 21, 30, 37, 40, 37, 29, 20, 12, 7, 6, 6, 6, 6, 5, 3, 2, 0, 1, 6, 13, 21, 29, 35, 34, 29, 21, 12, 5, 3, 6, 14, 24, 33, 40, 41, 36, 28, 18, 10, 4, 3, 6, 12, 19, 28, 36, 45, 52, 59, 65, 69, 71, 69, 64, 58, 51, 45, 39, 36, 33, 32, 31, 31, 32, 34, 36, 39, 41, 40, 36, 29, 21, 12, 6, 1, 0, 0, 0, 0, 0, 2, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 4, 12, 24, 39, 55, 67, 74, 72, 63, 48, 33, 19, 9, 2, 0, 3, 12, 25, 43, 63, 81, 94, 97, 91, 78, 62, 45, 30, 23, 21, 25, 33, 41, 48, 53, 54, 52, 48, 42, 35, 27, 19, 12, 6, 2, 0, 0, 0, 0, 0, 1, 4, 9, 16, 25, 32, 37, 38, 36, 31, 24, 17, 11, 7, 4, 2, 2, 3, 6, 8, 12, 15, 19, 22, 26, 29, 31, 32, 31, 28, 22, 15, 10, 5, 1, 1, 6, 12, 21, 29, 35, 37, 34, 28, 19, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 12, 11, 9, 6, 2, 0, 0, 3, 9, 17, 27, 37, 43, 43, 38, 28, 18, 10, 3, 1, 4, 8, 12, 14, 14, 12, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 6, 8, 12, 14, 15, 17, 19, 21, 24, 26, 27, 25, 20, 15, 9, 4, 1, 0, 0, 3, 9, 17, 26, 35, 43, 47, 48, 48, 47, 46, 45, 46, 48, 49, 48, 46, 42, 38, 34, 35, 39, 47, 60, 73, 84, 89, 88, 78, 61, 42, 25, 11, 5, 8, 19, 31, 45, 56, 62, 60, 51, 37, 24, 13, 4, 3, 9, 19, 31, 45, 56, 64, 65, 62, 56, 48, 39, 33, 27, 23, 21, 18, 16, 13, 10, 7, 4, 2, 1, 1, 0, 0, 0, 0, 0, 0, 1, 5, 11, 18, 28, 35, 39, 36, 30, 21, 13, 5, 1, 0, 0, 0, 0, 0, 0, 3, 8, 14, 22, 30, 38, 41, 44, 43, 41, 36, 30, 24, 18, 13, 10, 9, 9, 11, 13, 15, 14, 11, 8, 5, 2, 0, 0, 0, 1, 7, 17, 29, 43, 57, 65, 65, 60, 49, 35, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 8, 11, 13, 13, 10, 7, 4, 3, 7, 14, 24, 35, 48, 57, 64, 68, 68, 64, 59, 53, 45, 38, 31, 23, 16, 11, 7, 4, 4, 8, 15, 25, 35, 43, 49, 52, 50, 46, 41, 38, 36, 38, 41, 42, 41, 36, 28, 19, 10, 4, 0, 0, 0, 0, 0, 0, 4, 10, 17, 25, 33, 37, 37, 34, 27, 19, 12, 6, 2, 0, 0, 1, 5, 10, 15, 20, 22, 20, 15, 10, 5, 1, 0, 0, 3, 8, 14, 19, 24, 24, 21, 15, 9, 4, 1, 0, 1, 7, 16, 26, 37, 47, 51, 49, 43, 32, 22, 13, 9, 10, 18, 29, 41, 51, 57, 56, 47, 35, 23, 11, 3, 0, 1, 10, 24, 43, 62, 82, 93, 93, 82, 64, 44, 26, 12, 3, 0, 0, 4, 11, 21, 32, 44, 53, 56, 53, 46, 35, 24, 14, 7, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 9, 14, 17, 19, 18, 14, 10, 6, 2, 0, 0, 0, 4, 11, 18, 25, 31, 31, 26, 19, 12, 5, 1, 0, 1, 7, 16, 27, 38, 47, 49, 43, 32, 21, 10, 3, 0, 0, 5, 11, 18, 24, 28, 26, 20, 14, 7, 2, 0, 0, 0, 5, 12, 22, 34, 47, 58, 66, 70, 70, 66, 59, 49, 38, 26, 15, 8, 3, 2, 6, 13, 23, 34, 43, 50, 50, 46, 37, 27, 16, 9, 3, 0, 0, 0, 0, 0, 0, 3, 7, 14, 20, 25, 28, 27, 22, 16, 10, 5, 1, 0, 0, 0, 2, 5, 10, 17, 25, 33, 38, 40, 40, 36, 29, 22, 15, 9, 6, 6, 9, 15, 24, 32, 39, 44, 44, 38, 29, 19, 11, 4, 0, 0, 1, 8, 19, 34, 50, 66, 75, 75, 67, 52, 36, 21, 9, 2, 0, 0, 2, 6, 11, 16, 22, 25, 26, 25, 23, 22, 21, 22, 24, 27, 32, 38, 44, 51, 59, 65, 70, 73, 73, 70, 64, 56, 47, 39, 33, 28, 27, 27, 30, 34, 38, 42, 44, 44, 41, 37, 31, 27, 24, 24, 27, 31, 37, 42, 46, 48, 48, 45, 40, 35, 32, 31, 34, 38, 44, 49, 51, 46, 37, 27, 16, 7, 1, 0, 0, 5, 12, 22, 32, 41, 43, 41, 32, 22, 12, 5, 0, 0, 0, 3, 11, 23, 38, 55, 70, 78, 78, 70, 56, 39, 24, 12, 4, 1, 4, 11, 19, 29, 36, 38, 35, 27, 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 3, 8, 15, 23, 31, 38, 43, 45, 45, 43, 39, 31, 23, 15, 8, 3, 0, 0, 1, 5, 12, 20, 29, 35, 37, 34, 26, 18, 9, 3, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 17, 24, 29, 35, 39, 42, 43, 41, 36, 29, 20, 12, 6, 1, 0, 0, 0, 0, 0, 3, 7, 14, 20, 28, 35, 40, 41, 41, 39, 34, 29, 24, 21, 21, 26, 34, 45, 59, 72, 84, 92, 96, 94, 89, 82, 73, 65, 59, 55, 53, 54, 55, 58, 60, 60, 57, 53, 45, 35, 26, 19, 15, 13, 14, 17, 22, 27, 33, 39, 46, 51, 55, 57, 55, 49, 41, 33, 24, 18, 17, 21, 29, 40, 53, 64, 71, 72, 67, 54, 38, 24, 12, 3, 0, 1, 7, 15, 23, 32, 38, 39, 34, 25, 17, 9, 3, 0, 1, 6, 13, 23, 34, 43, 49, 51, 50, 45, 39, 34, 29, 27, 28, 30, 33, 37, 38, 39, 38, 36, 32, 30, 28, 28, 31, 36, 43, 52, 61, 68, 73, 74, 71, 64, 54, 43, 34, 27, 25, 25, 27, 29, 30, 26, 20, 14, 8, 3, 0, 0, 0, 2, 7, 13, 20, 27, 30, 30, 25, 17, 11, 5, 2, 6, 15, 26, 40, 52, 61, 62, 56, 44, 31, 18, 8, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 9, 18, 29, 42, 53, 60, 61, 57, 49, 38, 26, 16, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 16, 27, 42, 56, 69, 80, 86, 86, 81, 70, 55, 37, 23, 11, 4, 0, 0, 0, 2, 7, 12, 18, 25, 30, 33, 35, 34, 34, 33, 33, 34, 37, 40, 43, 46, 50, 52, 54, 57, 58, 58, 57, 53, 46, 39, 30, 24, 19, 17, 19, 24, 30, 39, 45, 49, 48, 42, 31, 21, 11, 4, 0, 0, 0, 3, 10, 20, 31, 44, 53, 58, 56, 49, 38, 25, 15, 7, 2, 0, 0, 1, 4, 6, 9, 11, 12, 10, 7, 4, 2, 0, 0, 2, 4, 8, 11, 13, 14, 12, 9, 5, 2, 0, 0, 2, 6, 13, 22, 33, 43, 49, 51, 48, 42, 32, 23, 16, 12, 12, 16, 21, 26, 30, 29, 26, 19, 13, 7, 2, 0, 0, 1, 4, 8, 13, 16, 18, 16, 12, 7, 3, 0, 0, 0, 1, 7, 17, 30, 44, 56, 63, 63, 54, 41, 28, 16, 7, 1, 0, 0, 2, 4, 6, 6, 6, 4, 2, 0, 0, 0, 3, 7, 14, 21, 29, 34, 37, 34, 29, 23, 17, 13, 12, 15, 21, 29, 39, 49, 57, 62, 61, 56, 47, 36, 26, 17, 12, 12, 16, 24, 35, 47, 58, 66, 71, 72, 70, 67, 62, 56, 50, 45, 39, 35, 31, 27, 25, 23, 24, 25, 28, 34, 39, 45, 49, 53, 54, 53, 52, 51, 51, 51, 54, 57, 60, 62, 63, 61, 57, 51, 45, 38, 34, 30, 29, 30, 33, 37, 42, 46, 47, 45, 41, 35, 29, 24, 20, 19, 20, 22, 25, 29, 32, 35, 37, 37, 36, 32, 27, 22, 16, 11, 7, 6, 7, 10, 15, 21, 26, 32, 35, 37, 37, 35, 32, 29, 26, 24, 24, 26, 30, 34, 36, 38, 36, 32, 24, 17, 10, 5, 1, 0, 4, 9, 16, 22, 29, 32, 30, 26, 21, 14, 8, 4, 1, 1, 2, 6, 11, 17, 23, 28, 32, 34, 34, 33, 32, 31, 28, 24, 19, 13, 8, 4, 1, 0, 0, 0, 0, 0, 4, 9, 15, 21, 25, 25, 21, 15, 9, 4, 0, 0, 0, 0, 0, 1, 5, 11, 20, 28, 34, 36, 34, 27, 18, 11, 5, 1, 0, 0, 1, 4, 7, 10, 13, 14, 12, 9, 6, 2, 0, 0, 0, 0, 1, 4, 9, 16, 25, 33, 39, 44, 46, 46, 44, 40, 35, 28, 20, 13, 7, 3, 3, 7, 14, 22, 32, 41, 46, 46, 41, 32, 22, 13, 5, 1, 0, 0, 0, 2, 7, 14, 23, 33, 41, 45, 45, 40, 32, 22, 14, 7, 3, 3, 7, 15, 26, 38, 49, 60, 66, 66, 61, 51, 37, 24, 13, 5, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 18, 21, 23, 23, 21, 19, 18, 17, 18, 18, 17, 15, 12, 8, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 13, 20, 27, 32, 36, 39, 41, 40, 40, 41, 39, 38, 37, 36, 35, 36, 38, 41, 45, 49, 53, 56, 56, 55, 51, 46, 39, 33, 27, 22, 19, 17, 18, 20, 25, 32, 39, 47, 56, 63, 68, 71, 71, 68, 64, 57, 48, 38, 28, 18, 10, 5, 1, 2, 7, 14, 24, 35, 46, 54, 60, 61, 57, 49, 37, 25, 14, 6, 1, 0, 0, 1, 5, 11, 17, 25, 31, 34, 34, 30, 26, 19, 13, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 17, 26, 35, 41, 41, 38, 30, 21, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 16, 26, 37, 47, 55, 58, 58, 53, 45, 34, 23, 14, 7, 2, 2, 7, 15, 25, 38, 48, 56, 60, 60, 55, 46, 36, 24, 14, 7, 2, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 2, 7, 15, 26, 40, 53, 64, 70, 70, 63, 51, 35, 22, 11, 3, 0, 0, 0, 1, 5, 12, 19, 27, 33, 35, 32, 25, 17, 9, 4, 0, 0, 0, 2, 7, 17, 28, 40, 52, 60, 60, 55, 45, 32, 20, 10, 4, 0, 0, 0, 4, 12, 23, 35, 50, 61, 68, 68, 65, 56, 45, 31, 20, 11, 4, 0, 2, 6, 12, 21, 31, 39, 45, 47, 45, 40, 33, 25, 17, 11, 6, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 10, 17, 27, 36, 44, 50, 53, 54, 52, 51, 49, 48, 49, 52, 56, 59, 62, 63, 62, 57, 50, 42, 31, 21, 12, 6, 2, 0, 0, 2, 5, 11, 17, 25, 32, 38, 41, 41, 39, 33, 25, 17, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 12, 19, 27, 33, 33, 29, 22, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 2, 2, 2, 2, 1, 0, 0, 0, 2, 6, 11, 17, 23, 28, 30, 29, 25, 19, 12, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 5, 10, 16, 22, 27, 30, 30, 26, 19, 13, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 4, 8, 12, 18, 22, 25, 27, 29, 30, 31, 32, 32, 30, 26, 21, 15, 10, 6, 2, 0, 0, 0, 2, 5, 8, 13, 18, 22, 25, 27, 27, 24, 20, 14, 10, 7, 6, 9, 14, 22, 30, 39, 46, 51, 54, 52, 47, 40, 32, 22, 15, 9, 5, 2, 3, 5, 10, 14, 20, 24, 26, 24, 21, 15, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 7, 9, 11, 11, 10, 7, 4, 2, 0, 0, 0, 0, 0, 0, 2, 6, 11, 19, 28, 38, 46, 53, 58, 58, 56, 52, 45, 38, 32, 29, 30, 34, 40, 49, 58, 68, 77, 83, 88, 88, 85, 79, 69, 57, 44, 30, 19, 10, 4, 0, 0, 0, 4, 10, 17, 26, 33, 36, 33, 26, 17, 10, 3, 0, 0, 0, 10, 33, 65, 100, 134, 152, 150, 124, 96 ],
      "t" : [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 95, 265, 511, 833, 1263, 1716, 2168, 2578, 2898, 3073, 3067, 2879, 2543, 2124, 1682, 1260, 875, 558, 330, 161, 47, 0, 0, 54, 273, 672, 1264, 2039, 2900, 3603, 4149, 4506, 4666, 4649, 4615, 4580, 4546, 4508, 4480, 4472, 4471, 4471, 4471, 4471, 4472, 4472, 4473, 4473, 4474, 4475, 4476, 4476, 4476, 4477, 4477, 4501, 4540, 4572, 4605, 4644, 4666, 4329, 3586, 2700, 1900, 1001, 291, 0, 0, 0, 0, 0, 0, 291, 1002, 1901, 2701, 3587, 4329, 4666, 4646, 4608, 4578, 4553, 4538, 4551, 4582, 4614, 4646, 4666, 4518, 4213, 3769, 3222, 2570, 1972, 1493, 1144, 906, 745, 633, 557, 513, 499, 510, 540, 582, 629, 680, 733, 785, 832, 873, 905, 931, 954, 974, 994, 1013, 1028, 1038, 1040, 1037, 1030, 1018, 1000, 974, 940, 896, 841, 777, 708, 633, 556, 481, 410, 348, 297, 258, 229, 210, 198, 192, 195, 208, 231, 261, 294, 326, 348, 357, 354, 339, 323, 312, 316, 337, 376, 427, 485, 543, 597, 645, 687, 718, 735, 730, 698, 635, 545, 435, 320, 210, 122, 61, 23, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 33, 94, 187, 311, 460, 600, 706, 762, 757, 696, 590, 459, 322, 200, 110, 49, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 32, 93, 184, 301, 442, 575, 679, 740, 750, 709, 624, 507, 376, 246, 145, 71, 25, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 52, 114, 204, 324, 452, 571, 664, 716, 722, 686, 620, 545, 481, 446, 452, 498, 572, 655, 726, 767, 768, 729, 664, 591, 530, 498, 504, 546, 610, 680, 736, 764, 756, 713, 647, 575, 515, 483, 486, 523, 583, 648, 697, 714, 690, 623, 524, 407, 287, 179, 100, 46, 14, 16, 54, 120, 215, 343, 482, 613, 717, 779, 789, 748, 667, 566, 469, 402, 383, 417, 498, 603, 706, 778, 803, 774, 701, 602, 503, 425, 386, 393, 441, 520, 608, 684, 727, 729, 688, 616, 531, 454, 403, 388, 413, 470, 544, 612, 657, 660, 615, 529, 416, 294, 183, 100, 45, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 69, 145, 247, 373, 494, 586, 634, 628, 570, 471, 348, 227, 131, 60, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 21, 60, 121, 202, 299, 389, 453, 478, 460, 402, 317, 221, 137, 73, 30, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 25, 64, 122, 199, 288, 368, 427, 453, 440, 390, 314, 223, 141, 76, 31, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 17, 49, 102, 180, 283, 393, 496, 573, 608, 593, 529, 430, 314, 201, 113, 52, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 36, 82, 146, 226, 306, 375, 419, 436, 425, 392, 345, 295, 246, 208, 187, 186, 207, 247, 299, 354, 398, 420, 411, 367, 295, 209, 131, 68, 25, 4, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 19, 50, 98, 167, 248, 329, 396, 434, 437, 404, 344, 273, 210, 169, 162, 190, 250, 327, 406, 471, 505, 499, 454, 374, 274, 179, 101, 44, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 26, 76, 151, 249, 368, 474, 550, 581, 559, 490, 390, 282, 190, 138, 139, 200, 310, 451, 596, 717, 791, 810, 779, 716, 646, 590, 566, 581, 636, 726, 839, 965, 1095, 1226, 1360, 1506, 1677, 1882, 2125, 2408, 2731, 3088, 3472, 3862, 4168, 4408, 4577, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4666, 4620, 4473, 4239, 3931, 3548, 3129, 2751, 2425, 2149, 1911, 1699, 1498, 1305, 1119, 942, 779, 637, 518, 422, 348, 290, 245, 209, 179, 152, 130, 109, 91, 77, 67, 62, 60, 59, 55, 48, 37, 27, 20, 20, 24, 31, 36, 35, 28, 21, 12, 4, 2, 6, 12, 18, 23, 25, 24, 21, 17, 16, 16, 17, 18, 17, 14, 10, 5, 1, 7, 32, 79, 148, 240, 344, 441, 517, 559, 559, 517, 439, 335, 226, 136, 66, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 32, 74, 137, 223, 320, 413, 482, 515, 501, 442, 350, 249, 162, 107, 97, 133, 206, 300, 395, 475, 524, 530, 493, 420, 325, 227, 147, 102, 101, 142, 217, 310, 403, 476, 514, 505, 450, 357, 247, 152, 75, 54, 95, 193, 312, 445, 549, 598, 583, 508, 394, 269, 161, 91, 72, 104, 180, 283, 395, 493, 558, 576, 544, 471, 375, 282, 214, 193, 225, 303, 407, 510, 584, 609, 578, 498, 386, 264, 160, 83, 33, 6, 0, 0, 0, 0, 0, 6, 39, 101, 193, 310, 439, 547, 613, 625, 581, 493, 379, 259, 157, 82, 32, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 72, 152, 255, 376, 487, 561, 585, 556, 482, 377, 260, 159, 83, 31, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 76, 161, 280, 431, 581, 704, 776, 781, 717, 596, 443, 289, 166, 95, 91, 150, 258, 385, 504, 585, 609, 573, 484, 361, 237, 135, 66, 60, 120, 228, 361, 504, 615, 669, 656, 581, 464, 329, 204, 110, 47, 13, 0, 0, 0, 0, 0, 0, 0, 2, 11, 31, 66, 118, 186, 260, 331, 389, 426, 437, 423, 387, 333, 268, 195, 127, 74, 34, 9, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 13, 17, 20, 18, 14, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 18, 21, 21, 18, 12, 6, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 3, 6, 10, 13, 13, 12, 9, 5, 1, 0, 4, 11, 21, 32, 45, 56, 66, 75, 83, 88, 91, 88, 82, 77, 76, 83, 101, 129, 162, 199, 236, 271, 304, 331, 352, 365, 372, 376, 384, 401, 430, 468, 512, 552, 586, 609, 622, 626, 622, 614, 605, 600, 610, 641, 699, 782, 885, 990, 1080, 1134, 1137, 1084, 983, 849, 712, 596, 526, 510, 547, 618, 698, 758, 775, 737, 650, 531, 400, 280, 183, 115, 69, 39, 22, 11, 4, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 15, 19, 23, 20, 16, 10, 4, 0, 0, 0, 0, 0, 0, 20, 75, 169, 295, 447, 589, 687, 720, 685, 593, 468, 335, 209, 118, 57, 19, 0, 2, 14, 24, 30, 31, 31, 23, 11, 7, 12, 20, 25, 28, 25, 18, 10, 4, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 23, 68, 140, 242, 370, 499, 606, 670, 677, 624, 523, 394, 261, 152, 74, 26, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 29, 77, 151, 247, 355, 447, 503, 511, 470, 393, 296, 201, 122, 66, 32, 14, 6, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 11, 33, 68, 114, 172, 228, 274, 300, 301, 277, 232, 179, 132, 106, 111, 152, 224, 314, 404, 475, 511, 503, 451, 365, 260, 164, 88, 35, 6, 0, 0, 0, 0, 0, 0, 0, 0, 11, 44, 105, 195, 316, 449, 568, 649, 672, 630, 531, 397, 259, 150, 93, 102, 175, 294, 435, 567, 661, 698, 672, 589, 467, 329, 204, 109, 45, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 56, 128, 234, 370, 513, 629, 692, 685, 608, 481, 332, 199, 97, 34, 4, 0, 0, 0, 0, 6, 16, 26, 30, 33, 29, 20, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 6, 34, 91, 182, 308, 453, 589, 685, 718, 681, 580, 438, 289, 167, 77, 22, 0, 0, 2, 6, 7, 8, 8, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 22, 68, 143, 243, 366, 483, 574, 619, 611, 551, 449, 325, 208, 116, 49, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 50, 101, 165, 240, 302, 337, 337, 303, 242, 168, 103, 51, 19, 7, 7, 6, 7, 6, 2, 0, 0, 0, 0, 0, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 4, 3, 2, 1, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 12, 52, 126, 236, 376, 522, 643, 710, 707, 635, 510, 359, 223, 116, 43, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 2, 4, 4, 4, 4, 5, 6, 9, 12, 13, 11, 9, 6, 2, 0, 0, 0, 0, 0, 5, 29, 73, 142, 238, 351, 461, 547, 593, 587, 530, 434, 316, 202, 113, 49, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 39, 91, 162, 249, 337, 407, 445, 447, 413, 349, 265, 177, 106, 51, 15, 0, 2, 8, 13, 16, 16, 15, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 15, 62, 144, 261, 405, 550, 661, 716, 701, 622, 495, 348, 216, 114, 45, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 43, 103, 189, 301, 423, 529, 598, 617, 582, 500, 386, 262, 158, 79, 28, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 6, 6, 6, 5, 3, 1, 2, 4, 4, 4, 4, 2, 3, 10, 19, 28, 34, 37, 32, 24, 15, 7, 2, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 2, 3, 3, 3, 3, 2, 0, 0, 13, 45, 103, 190, 310, 444, 569, 661, 698, 669, 576, 440, 294, 171, 78, 21, 0, 0, 0, 3, 9, 18, 27, 33, 35, 30, 23, 13, 5, 1, 0, 0, 0, 0, 0, 1, 2, 4, 4, 4, 4, 5, 7, 9, 12, 12, 11, 8, 5, 3, 8, 12, 17, 20, 19, 14, 10, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 32, 75, 142, 239, 352, 470, 572, 644, 669, 642, 566, 455, 326, 207, 114, 48, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 18, 24, 28, 26, 20, 13, 6, 2, 0, 0, 0, 0, 0, 0, 3, 7, 10, 11, 11, 9, 6, 2, 1, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 2, 6, 10, 13, 15, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 2, 4, 6, 7, 7, 5, 4, 2, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 16, 50, 103, 174, 263, 349, 418, 456, 455, 412, 333, 234, 148, 76, 26, 0, 5, 12, 16, 16, 17, 14, 7, 3, 5, 10, 13, 14, 14, 11, 6, 2, 1, 3, 4, 4, 4, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 16, 18, 18, 15, 11, 9, 10, 15, 19, 20, 18, 13, 7, 2, 0, 0, 0, 0, 0, 3, 7, 10, 11, 10, 9, 6, 4, 6, 10, 13, 13, 12, 9, 5, 1, 0, 0, 0, 3, 8, 16, 24, 29, 30, 26, 19, 14, 14, 20, 33, 44, 50, 48, 38, 26, 13, 4, 0, 2, 7, 14, 19, 24, 26, 24, 19, 13, 8, 5, 4, 3, 3, 2, 2, 1, 5, 12, 19, 24, 26, 23, 17, 10, 3, 0, 2, 5, 8, 12, 16, 16, 13, 9, 6, 2, 0, 0, 0, 0, 0, 2, 7, 14, 16, 15, 15, 11, 7, 26, 77, 156, 263, 395, 524, 627, 683, 681, 618, 506, 368, 235, 128, 53, 13, 0, 0, 0, 0, 0, 2, 6, 7, 7, 6, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 19, 46, 87, 144, 208, 268, 314, 336, 330, 298, 245, 182, 120, 70, 34, 13, 2, 0, 1, 7, 16, 23, 28, 29, 25, 17, 9, 2, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 5, 10, 15, 20, 22, 21, 17, 12, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 32, 71, 132, 221, 325, 430, 514, 559, 549, 484, 378, 256, 151, 71, 21, 0, 0, 0, 0, 0, 0, 0, 0, 14, 44, 95, 170, 276, 394, 504, 586, 618, 590, 508, 391, 270, 174, 127, 135, 195, 291, 403, 505, 576, 600, 569, 489, 377, 257, 153, 75, 29, 10, 5, 5, 5, 4, 1, 3, 6, 10, 13, 18, 21, 22, 21, 19, 15, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 5, 5, 7, 8, 10, 14, 18, 20, 21, 22, 21, 19, 16, 12, 9, 6, 2, 2, 5, 10, 14, 15, 14, 11, 6, 2, 0, 0, 0, 0, 1, 9, 20, 32, 40, 44, 39, 30, 18, 7, 0, 0, 0, 1, 5, 8, 10, 10, 9, 7, 3, 0, 1, 4, 9, 17, 26, 34, 38, 37, 30, 22, 13, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 25, 83, 175, 293, 433, 558, 639, 661, 621, 529, 407, 275, 166, 84, 32, 4, 0, 0, 0, 0, 0, 0, 0, 0, 14, 57, 129, 225, 340, 450, 529, 561, 543, 480, 386, 280, 179, 101, 46, 13, 0, 0, 0, 0, 2, 4, 5, 5, 6, 5, 2, 0, 0, 0, 0, 0, 0, 1, 5, 9, 12, 13, 12, 10, 6, 2, 0, 0, 0, 0, 0, 0, 8, 41, 104, 201, 329, 471, 591, 666, 679, 627, 525, 397, 268, 160, 83, 34, 11, 7, 11, 11, 11, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 11, 10, 9, 5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 29, 92, 192, 323, 477, 613, 701, 722, 675, 571, 431, 284, 167, 80, 26, 0, 0, 2, 6, 8, 7, 8, 7, 3, 0, 0, 0, 0, 0, 1, 3, 5, 6, 7, 5, 4, 2, 0, 0, 0, 4, 10, 17, 24, 28, 28, 22, 16, 8, 3, 0, 1, 2, 2, 2, 2, 1, 0, 0, 8, 37, 93, 184, 308, 446, 572, 656, 678, 630, 524, 385, 247, 137, 59, 15, 0, 0, 0, 2, 2, 2, 2, 2, 0, 16, 59, 128, 219, 325, 423, 489, 510, 484, 417, 324, 221, 135, 69, 26, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 38, 96, 184, 294, 414, 512, 566, 566, 510, 414, 297, 187, 101, 42, 10, 3, 10, 15, 15, 15, 14, 8, 2, 11, 44, 101, 186, 299, 421, 526, 595, 609, 565, 470, 347, 224, 125, 55, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 24, 60, 111, 173, 240, 291, 319, 320, 298, 263, 223, 186, 152, 120, 87, 59, 35, 15, 2, 2, 4, 4, 4, 5, 3, 5, 10, 15, 18, 19, 16, 11, 5, 1, 1, 5, 9, 12, 14, 13, 10, 6, 2, 0, 0, 0, 0, 20, 65, 140, 242, 371, 498, 599, 654, 652, 592, 487, 358, 231, 130, 58, 16, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 1, 4, 7, 9, 10, 9, 7, 4, 1, 0, 4, 9, 12, 10, 11, 9, 4, 0, 0, 28, 86, 175, 291, 433, 561, 653, 688, 660, 578, 459, 326, 202, 110, 48, 14, 0, 0, 0, 0, 0, 0, 1, 3, 6, 10, 14, 16, 16, 13, 9, 5, 3, 4, 8, 10, 11, 10, 8, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 21, 31, 39, 42, 39, 31, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 23, 64, 125, 208, 304, 388, 443, 454, 416, 338, 237, 147, 73, 24, 0, 0, 0, 0, 0, 0, 3, 8, 12, 13, 13, 12, 8, 3, 1, 3, 2, 2, 3, 2, 0, 19, 64, 136, 224, 323, 406, 453, 454, 414, 344, 259, 175, 106, 55, 22, 5, 3, 8, 13, 15, 18, 17, 15, 11, 7, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 19, 59, 122, 206, 308, 400, 463, 480, 448, 373, 274, 179, 113, 92, 123, 197, 294, 391, 466, 501, 488, 431, 341, 236, 145, 74, 26, 6, 7, 10, 9, 10, 8, 4, 0, 0, 2, 11, 22, 33, 39, 36, 31, 21, 9, 0, 19, 59, 123, 210, 319, 426, 513, 564, 569, 528, 450, 350, 249, 161, 96, 55, 33, 22, 16, 13, 9, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 70, 149, 255, 383, 502, 585, 613, 582, 502, 393, 281, 184, 113, 66, 38, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 8, 17, 25, 31, 31, 26, 18, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 8, 9, 8, 7, 4, 1, 0, 0, 0, 0, 0, 8, 39, 97, 186, 304, 438, 559, 642, 666, 625, 528, 398, 264, 152, 71, 25, 5, 0, 0, 0, 3, 13, 27, 39, 50, 54, 47, 35, 22, 10, 2, 0, 0, 0, 2, 5, 7, 8, 8, 7, 4, 2, 0, 0, 0, 0, 0, 0, 16, 60, 130, 223, 335, 443, 520, 553, 538, 479, 391, 292, 199, 124, 71, 38, 21, 12, 7, 4, 2, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 2, 0, 0, 0, 3, 9, 16, 20, 22, 20, 16, 9, 3, 0, 0, 3, 8, 13, 16, 17, 15, 11, 6, 2, 0, 0, 2, 6, 10, 16, 22, 26, 27, 24, 20, 14, 8, 4, 1, 0, 6, 17, 30, 39, 45, 42, 33, 21, 9, 1, 0, 1, 5, 8, 10, 10, 9, 6, 3, 0, 0, 1, 3, 5, 7, 8, 7, 5, 3, 2, 0, 2, 7, 14, 19, 20, 19, 15, 9, 9, 16, 26, 32, 35, 31, 23, 13, 4, 0, 0, 0, 0, 2, 6, 10, 14, 15, 14, 11, 7, 2, 1, 3, 7, 12, 20, 27, 32, 32, 28, 21, 14, 7, 8, 18, 27, 34, 37, 34, 26, 17, 10, 6, 4, 3, 3, 1, 0, 7, 19, 34, 49, 62, 67, 61, 46, 31, 16, 5, 1, 6, 13, 20, 28, 34, 34, 29, 21, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 2, 3, 4, 4, 4, 3, 1, 2, 7, 12, 19, 26, 32, 34, 34, 32, 28, 25, 23, 23, 25, 28, 29, 26, 21, 14, 7, 4, 5, 9, 10, 11, 10, 7, 3, 0, 0, 0, 0, 0, 0, 0, 4, 13, 24, 32, 37, 34, 28, 18, 7, 2, 1, 1, 1, 1, 0, 0, 2, 4, 5, 6, 8, 8, 8, 7, 6, 5, 6, 10, 15, 21, 26, 27, 24, 18, 11, 5, 1, 1, 6, 13, 19, 19, 19, 16, 9, 2, 0, 8, 40, 96, 176, 279, 395, 499, 576, 616, 611, 564, 482, 379, 272, 174, 98, 47, 17, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 4, 5, 4, 4, 3, 5, 11, 20, 25, 28, 25, 20, 13, 9, 9, 12, 12, 11, 8, 4, 1, 1, 1, 1, 1, 0, 0, 8, 38, 92, 169, 263, 360, 434, 468, 456, 402, 320, 227, 143, 79, 36, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 12, 16, 18, 16, 12, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 20, 50, 101, 177, 272, 377, 472, 540, 561, 530, 452, 347, 243, 167, 141, 171, 247, 347, 443, 508, 526, 494, 422, 327, 229, 146, 84, 44, 21, 10, 5, 2, 0, 0, 2, 2, 2, 2, 2, 0, 0, 1, 4, 7, 8, 9, 8, 6, 2, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 4, 8, 12, 13, 13, 11, 7, 3, 5, 13, 22, 30, 35, 31, 25, 16, 7, 1, 0, 0, 19, 64, 133, 226, 340, 449, 530, 570, 561, 505, 415, 306, 200, 114, 55, 24, 15, 16, 18, 17, 14, 8, 2, 2, 8, 15, 20, 24, 24, 19, 13, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 32, 86, 168, 271, 390, 495, 564, 583, 548, 466, 356, 238, 139, 66, 22, 1, 0, 1, 3, 2, 2, 3, 1, 24, 78, 167, 283, 421, 541, 617, 632, 585, 490, 373, 261, 181, 149, 167, 229, 317, 409, 480, 514, 501, 445, 360, 265, 173, 99, 49, 19, 4, 0, 0, 0, 0, 0, 15, 52, 117, 211, 329, 445, 534, 576, 561, 493, 390, 276, 172, 93, 42, 14, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 5, 5, 5, 3, 1, 0, 0, 0, 9, 39, 91, 162, 249, 333, 390, 406, 378, 315, 232, 150, 85, 44, 24, 19, 20, 19, 16, 11, 6, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 1, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 4, 3, 3, 3, 1, 0, 0, 6, 38, 99, 190, 308, 438, 549, 616, 627, 582, 493, 382, 268, 166, 93, 44, 15, 1, 0, 0, 2, 3, 4, 3, 4, 2, 1, 0, 2, 6, 10, 13, 14, 12, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 0, 0, 33, 101, 198, 316, 450, 556, 614, 615, 564, 473, 361, 247, 150, 79, 32, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 10, 8, 9, 8, 4, 0, 6, 35, 88, 166, 268, 387, 495, 576, 617, 611, 558, 465, 346, 229, 134, 61, 16, 0, 6, 13, 18, 20, 22, 21, 18, 19, 24, 30, 35, 35, 29, 21, 12, 7, 5, 6, 6, 6, 5, 3, 1, 0, 0, 0, 0, 2, 3, 5, 6, 7, 6, 4, 3, 1, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 0, 0, 2, 7, 12, 18, 25, 29, 30, 29, 23, 16, 10, 5, 2, 3, 7, 9, 10, 9, 8, 5, 1, 0, 0, 0, 0, 0, 1, 6, 11, 17, 22, 22, 18, 13, 7, 2, 17, 58, 125, 218, 334, 451, 546, 603, 609, 565, 478, 366, 248, 148, 75, 27, 4, 0, 6, 14, 22, 27, 31, 26, 20, 11, 4, 1, 6, 10, 13, 15, 14, 11, 6, 2, 1, 3, 6, 10, 14, 17, 17, 14, 10, 6, 2, 0, 12, 42, 95, 176, 286, 406, 519, 599, 629, 598, 512, 390, 259, 149, 67, 19, 0, 2, 6, 9, 12, 12, 11, 8, 4, 1, 0, 1, 3, 4, 4, 4, 3, 2, 0, 1, 2, 3, 4, 5, 6, 8, 10, 10, 9, 8, 5, 2, 0, 0, 2, 6, 12, 16, 18, 17, 13, 8, 3, 3, 8, 15, 26, 39, 49, 55, 54, 46, 34, 22, 10, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 56, 121, 207, 313, 417, 497, 541, 538, 492, 410, 307, 202, 117, 55, 17, 1, 5, 8, 11, 12, 12, 9, 5, 1, 1, 7, 15, 22, 27, 29, 25, 18, 10, 3, 0, 0, 0, 0, 0, 1, 3, 3, 3, 4, 4, 5, 6, 7, 7, 6, 4, 2, 0, 0, 0, 0, 0, 0, 0, 12, 46, 107, 198, 310, 420, 503, 535, 508, 428, 317, 204, 111, 46, 16, 14, 22, 26, 26, 24, 16, 7, 1, 0, 0, 0, 1, 5, 10, 13, 15, 14, 11, 9, 10, 13, 16, 17, 16, 12, 9, 8, 10, 11, 11, 10, 6, 2, 0, 0, 0, 1, 3, 4, 5, 5, 4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 19, 68, 148, 252, 371, 480, 549, 569, 538, 471, 386, 302, 229, 170, 122, 80, 51, 27, 10, 0, 0, 0, 0, 21, 71, 152, 259, 389, 512, 606, 653, 651, 601, 516, 409, 295, 190, 109, 51, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 27, 41, 54, 60, 56, 44, 30, 16, 5, 2, 7, 12, 14, 15, 14, 11, 11, 18, 34, 57, 89, 126, 171, 224, 280, 333, 372, 386, 368, 320, 253, 183, 124, 82, 58, 44, 33, 25, 15, 6, 3, 10, 17, 21, 22, 20, 15, 8, 2, 1, 3, 4, 4, 4, 4, 5, 8, 11, 14, 15, 14, 11, 7, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 5, 7, 9, 8, 7, 8, 14, 23, 35, 44, 46, 40, 30, 18, 6, 1, 2, 4, 6, 7, 7, 6, 4, 2, 1, 2, 8, 16, 25, 31, 33, 28, 21, 12, 4, 0, 0, 0, 6, 29, 72, 135, 218, 308, 387, 436, 447, 417, 357, 279, 198, 126, 71, 35, 15, 4, 1, 7, 17, 28, 39, 47, 48, 42, 33, 21, 11, 6, 2, 2, 9, 17, 24, 27, 27, 22, 16, 14, 18, 26, 32, 34, 29, 22, 13, 4, 0, 4, 10, 16, 20, 21, 18, 13, 7, 2, 0, 0, 0, 0, 0, 2, 10, 21, 32, 42, 51, 54, 51, 43, 33, 23, 14, 11, 16, 28, 41, 50, 51, 42, 30, 17, 6, 2, 7, 12, 16, 20, 20, 16, 11, 6, 4, 3, 5, 5, 5, 4, 3, 4, 7, 9, 10, 9, 7, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 8, 16, 25, 32, 37, 36, 32, 27, 22, 20, 17, 14, 11, 7, 4, 1, 4, 7, 9, 8, 9, 7, 3, 2, 6, 14, 30, 58, 102, 164, 237, 315, 382, 422, 426, 393, 329, 252, 183, 140, 136, 173, 243, 329, 410, 468, 489, 467, 409, 327, 238, 159, 99, 62, 43, 34, 25, 20, 12, 5, 0, 0, 16, 49, 99, 168, 257, 345, 420, 469, 486, 465, 413, 336, 249, 163, 96, 47, 17, 2, 1, 2, 1, 1, 2, 1, 0, 4, 11, 18, 22, 23, 20, 15, 8, 2, 2, 10, 21, 30, 36, 36, 30, 21, 10, 2, 0, 0, 0, 0, 5, 21, 55, 113, 198, 303, 413, 507, 566, 578, 541, 465, 366, 263, 170, 99, 51, 21, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 11, 17, 22, 24, 21, 15, 8, 3, 1, 1, 1, 1, 1, 1, 0, 0, 0, 2, 6, 8, 8, 8, 7, 5, 6, 10, 14, 15, 14, 12, 7, 5, 11, 30, 61, 106, 160, 214, 260, 289, 297, 283, 252, 211, 168, 128, 93, 65, 42, 26, 14, 6, 4, 10, 19, 30, 42, 51, 53, 49, 40, 30, 23, 22, 28, 38, 45, 46, 40, 30, 18, 8, 4, 5, 7, 8, 7, 6, 3, 1, 0, 0, 2, 6, 10, 12, 12, 11, 8, 3, 0, 7, 29, 62, 109, 167, 230, 284, 323, 342, 337, 310, 266, 211, 153, 100, 59, 32, 21, 21, 25, 25, 24, 19, 11, 2, 16, 55, 117, 201, 306, 410, 491, 536, 537, 495, 420, 329, 239, 165, 113, 80, 59, 44, 32, 22, 10, 2, 0, 0, 6, 32, 80, 146, 228, 316, 390, 439, 457, 440, 394, 329, 253, 176, 108, 59, 26, 8, 0, 3, 10, 14, 15, 15, 16, 18, 23, 31, 36, 36, 31, 22, 10, 2, 3, 10, 20, 30, 41, 45, 43, 33, 23, 13, 4, 3, 7, 8, 8, 8, 6, 3, 0, 0, 0, 1, 4, 8, 11, 12, 11, 9, 6, 2, 1, 3, 3, 3, 3, 3, 1, 1, 2, 2, 2, 2, 1, 0, 1, 1, 2, 3, 6, 11, 16, 20, 21, 18, 14, 8, 3, 0, 4, 13, 26, 40, 55, 63, 62, 50, 36, 21, 9, 1, 0, 3, 11, 21, 28, 33, 32, 27, 20, 15, 12, 12, 11, 10, 7, 2, 4, 15, 28, 37, 43, 41, 33, 21, 9, 4, 7, 11, 13, 13, 12, 8, 3, 0, 0, 0, 0, 0, 0, 0, 1, 7, 16, 26, 34, 38, 34, 27, 17, 8, 6, 10, 14, 17, 18, 15, 10, 5, 1, 0, 0, 1, 3, 6, 7, 7, 6, 4, 2, 0, 2, 7, 13, 17, 20, 19, 15, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 19, 30, 38, 42, 36, 27, 16, 6, 0, 3, 6, 7, 7, 7, 6, 2, 0, 2, 5, 9, 9, 9, 9, 6, 2, 2, 6, 12, 16, 19, 18, 14, 9, 4, 0, 0, 0, 2, 24, 68, 135, 223, 328, 425, 500, 540, 542, 507, 444, 365, 281, 200, 129, 75, 38, 14, 2, 0, 0, 0, 0, 4, 26, 64, 119, 190, 271, 343, 398, 425, 419, 382, 324, 254, 187, 133, 95, 69, 49, 35, 23, 11, 2, 0, 0, 8, 26, 56, 101, 163, 230, 295, 347, 376, 377, 352, 309, 257, 203, 153, 107, 69, 41, 20, 5, 0, 0, 2, 16, 44, 90, 153, 233, 322, 406, 477, 522, 535, 514, 464, 395, 325, 268, 237, 234, 258, 299, 348, 392, 425, 436, 425, 391, 342, 289, 250, 238, 262, 321, 401, 482, 544, 568, 547, 481, 384, 273, 172, 92, 42, 23, 26, 34, 38, 35, 28, 17, 13, 21, 42, 73, 121, 184, 257, 332, 396, 438, 451, 435, 397, 346, 289, 230, 170, 114, 68, 33, 10, 0, 0, 0, 1, 5, 16, 36, 76, 136, 214, 303, 390, 455, 487, 479, 432, 355, 263, 172, 100, 47, 14, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 7, 10, 12, 14, 16, 21, 29, 38, 46, 52, 55, 55, 54, 54, 53, 48, 40, 29, 18, 8, 2, 0, 2, 6, 12, 16, 19, 18, 14, 9, 4, 0, 0, 0, 1, 2, 3, 3, 3, 3, 1, 0, 0, 3, 7, 10, 11, 11, 9, 7, 7, 8, 10, 10, 10, 8, 13, 31, 69, 126, 201, 284, 362, 420, 451, 450, 421, 375, 319, 263, 210, 162, 118, 77, 46, 23, 8, 0, 1, 6, 12, 18, 23, 25, 23, 17, 11, 6, 2, 0, 0, 0, 0, 0, 0, 3, 11, 22, 31, 36, 34, 29, 19, 8, 1, 0, 11, 36, 78, 141, 225, 313, 395, 457, 489, 489, 461, 413, 352, 286, 219, 155, 100, 59, 36, 28, 32, 39, 45, 46, 49, 63, 95, 152, 230, 321, 410, 483, 526, 533, 504, 448, 374, 295, 218, 148, 92, 52, 24, 6, 6, 15, 25, 30, 32, 29, 21, 11, 3, 2, 4, 5, 10, 18, 29, 41, 54, 63, 65, 58, 46, 31, 19, 9, 2, 2, 8, 17, 28, 39, 45, 44, 35, 25, 14, 7, 13, 28, 45, 60, 71, 70, 60, 43, 26, 13, 4, 0, 9, 24, 41, 54, 63, 60, 47, 31, 15, 4, 0, 0, 0, 0, 0, 0, 2, 8, 19, 37, 64, 105, 157, 216, 273, 318, 341, 337, 309, 264, 214, 164, 120, 81, 51, 28, 12, 3, 1, 2, 4, 5, 7, 10, 14, 18, 22, 23, 20, 16, 9, 4, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 22, 31, 39, 42, 39, 31, 22, 13, 7, 11, 21, 34, 48, 60, 63, 56, 43, 29, 16, 6, 0, 2, 5, 9, 10, 12, 10, 7, 4, 1, 0, 0, 0, 0, 2, 7, 15, 23, 29, 30, 25, 19, 10, 3, 4, 12, 19, 26, 34, 38, 38, 33, 27, 20, 15, 12, 12, 14, 14, 13, 10, 6, 6, 11, 18, 24, 32, 35, 35, 33, 29, 25, 21, 19, 19, 20, 19, 16, 14, 9, 6, 8, 14, 16, 15, 15, 11, 4, 3, 17, 39, 68, 108, 158, 213, 273, 335, 394, 445, 477, 482, 455, 398, 318, 230, 151, 89, 51, 31, 23, 18, 14, 8, 2, 1, 3, 3, 3, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 14, 19, 22, 21, 17, 12, 11, 14, 21, 24, 23, 20, 13, 6, 2, 14, 30, 45, 56, 59, 50, 36, 20, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 13, 22, 28, 34, 34, 32, 30, 28, 25, 20, 17, 17, 29, 62, 116, 185, 263, 334, 390, 420, 425, 406, 368, 317, 265, 221, 195, 194, 218, 263, 319, 378, 425, 453, 452, 419, 355, 270, 183, 107, 49, 14, 11, 22, 32, 38, 39, 33, 22, 13, 9, 10, 13, 14, 12, 9, 5, 3, 3, 5, 9, 14, 20, 25, 27, 23, 19, 13, 6, 0, 4, 18, 40, 72, 117, 179, 248, 323, 392, 445, 470, 464, 430, 375, 312, 249, 189, 136, 91, 56, 33, 20, 16, 16, 16, 14, 10, 5, 2, 1, 4, 9, 16, 19, 21, 21, 22, 28, 38, 55, 78, 111, 156, 217, 291, 367, 431, 468, 472, 442, 385, 313, 237, 165, 105, 58, 27, 9, 2, 0, 0, 2, 8, 15, 21, 26, 25, 20, 14, 7, 3, 5, 9, 11, 12, 11, 8, 7, 9, 14, 20, 24, 24, 22, 18, 16, 17, 20, 21, 19, 16, 10, 5, 1, 1, 1, 1, 1, 1, 2, 12, 23, 33, 40, 42, 37, 31, 26, 24, 23, 22, 20, 14, 9, 7, 7, 8, 8, 7, 4, 2, 0, 0, 0, 0, 4, 13, 25, 39, 56, 70, 75, 72, 60, 44, 27, 13, 2, 0, 2, 6, 13, 23, 34, 42, 44, 40, 32, 21, 11, 4, 0, 0, 0, 0, 0, 1, 4, 7, 8, 8, 7, 6, 2, 0, 0, 2, 5, 8, 11, 12, 11, 8, 5, 2, 0, 0, 6, 14, 22, 29, 33, 30, 23, 15, 13, 16, 22, 28, 30, 26, 19, 11, 4, 0, 4, 9, 16, 19, 21, 18, 14, 8, 6, 8, 11, 14, 15, 14, 11, 7, 4, 2, 0, 1, 5, 10, 12, 13, 12, 9, 5, 5, 12, 20, 26, 30, 28, 21, 13, 6, 1, 0, 0, 1, 9, 25, 56, 103, 172, 256, 345, 423, 475, 489, 462, 399, 315, 224, 144, 82, 42, 20, 13, 12, 12, 12, 10, 6, 8, 13, 17, 19, 19, 16, 9, 3, 0, 0, 1, 9, 23, 44, 72, 106, 138, 165, 187, 201, 209, 209, 203, 190, 170, 144, 113, 81, 54, 35, 26, 24, 27, 28, 25, 19, 12, 5, 1, 0, 2, 6, 10, 13, 15, 14, 11, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 10, 15, 18, 19, 16, 11, 6, 1, 0, 0, 2, 7, 15, 23, 32, 39, 43, 42, 37, 27, 19, 11, 3, 6, 26, 58, 102, 157, 212, 253, 274, 274, 257, 232, 207, 188, 172, 153, 126, 93, 62, 33, 17, 13, 16, 14, 16, 12, 11, 30, 73, 133, 211, 296, 372, 424, 450, 445, 415, 365, 304, 242, 184, 137, 101, 78, 63, 52, 40, 29, 19, 9, 3, 4, 12, 21, 31, 39, 41, 34, 26, 16, 6, 0, 1, 13, 38, 77, 129, 195, 266, 337, 399, 444, 462, 446, 395, 320, 235, 157, 98, 61, 39, 27, 19, 12, 4, 0, 2, 4, 5, 5, 5, 4, 2, 0, 0, 0, 0, 0, 0, 0, 4, 10, 17, 21, 22, 19, 14, 8, 2, 0, 1, 1, 1, 1, 1, 0, 1, 5, 11, 17, 23, 27, 28, 26, 21, 14, 9, 5, 1, 0, 0, 9, 23, 44, 72, 111, 156, 209, 269, 335, 401, 457, 490, 493, 462, 400, 319, 232, 151, 88, 45, 19, 4, 3, 8, 11, 15, 22, 29, 37, 45, 51, 52, 46, 35, 23, 11, 6, 6, 9, 10, 10, 9, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 5, 6, 6, 5, 3, 1, 0, 0, 0, 2, 6, 11, 17, 23, 27, 28, 26, 24, 21, 17, 12, 8, 5, 2, 0, 3, 11, 22, 31, 36, 34, 28, 19, 9, 10, 20, 32, 41, 45, 40, 30, 18, 7, 1, 5, 9, 13, 16, 21, 27, 34, 43, 50, 53, 50, 41, 29, 19, 12, 14, 23, 36, 49, 57, 54, 44, 32, 17, 5, 2, 4, 5, 4, 5, 4, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 10, 15, 22, 27, 32, 34, 32, 26, 20, 12, 10, 13, 21, 27, 29, 26, 20, 12, 4, 6, 18, 30, 37, 40, 36, 27, 15, 9, 12, 19, 23, 25, 22, 16, 8, 3, 8, 19, 29, 37, 39, 34, 25, 14, 4, 1, 8, 19, 33, 48, 60, 62, 55, 41, 27, 13, 6, 13, 24, 32, 34, 33, 26, 15, 9, 9, 13, 15, 16, 14, 10, 7, 6, 4, 5, 4, 2, 0, 0, 0, 6, 23, 54, 95, 143, 188, 221, 238, 242, 236, 227, 214, 196, 169, 134, 94, 59, 33, 22, 20, 24, 29, 33, 37, 46, 65, 100, 148, 208, 272, 332, 376, 399, 397, 378, 348, 318, 297, 288, 293, 312, 342, 378, 415, 441, 449, 433, 392, 332, 262, 193, 133, 88, 58, 42, 34, 30, 28, 27, 25, 24, 26, 28, 28, 24, 19, 12, 5, 0, 0, 1, 2, 5, 12, 22, 33, 42, 45, 41, 33, 22, 11, 3, 0, 0, 0, 0, 0, 0, 0, 3, 8, 11, 15, 16, 15, 13, 10, 6, 4, 3, 1, 0, 5, 13, 20, 22, 22, 19, 22, 36, 70, 122, 187, 255, 316, 364, 393, 403, 394, 366, 322, 264, 198, 132, 80, 39, 14, 5, 8, 7, 7, 7, 3, 0, 9, 24, 41, 55, 64, 60, 48, 31, 15, 3, 0, 0, 4, 12, 20, 27, 30, 26, 20, 12, 5, 5, 13, 20, 26, 30, 28, 22, 15, 8, 2, 0, 0, 0, 2, 6, 11, 14, 16, 14, 11, 7, 2, 3, 14, 33, 60, 97, 140, 186, 232, 277, 319, 353, 375, 381, 366, 333, 284, 227, 172, 125, 92, 74, 68, 67, 68, 65, 61, 56, 54, 60, 75, 102, 143, 201, 272, 350, 422, 472, 490, 467, 408, 323, 230, 143, 78, 34, 9, 0, 0, 1, 5, 8, 8, 8, 8, 5, 5, 14, 26, 34, 39, 35, 28, 17, 11, 12, 19, 24, 28, 26, 22, 16, 10, 7, 5, 4, 2, 1, 0, 0, 0, 2, 7, 13, 17, 22, 27, 29, 31, 32, 31, 26, 20, 13, 6, 1, 0, 0, 0, 1, 14, 33, 54, 72, 86, 87, 77, 61, 43, 28, 17, 10, 5, 1, 0, 1, 3, 4, 6, 7, 6, 4, 3, 2, 1, 1, 1, 1, 0, 6, 17, 30, 41, 50, 49, 40, 28, 15, 6, 2, 2, 2, 2, 2, 1, 4, 9, 15, 19, 23, 23, 23, 21, 21, 23, 24, 22, 18, 13, 7, 2, 6, 16, 27, 34, 38, 34, 26, 15, 7, 5, 6, 6, 7, 6, 2, 1, 2, 2, 2, 2, 2, 0, 2, 6, 11, 13, 13, 12, 9, 4, 1, 10, 24, 37, 48, 54, 48, 37, 23, 10, 1, 4, 12, 22, 30, 36, 34, 28, 19, 9, 6, 11, 18, 25, 33, 36, 34, 30, 22, 15, 9, 3, 0, 0, 3, 8, 13, 17, 23, 31, 45, 69, 106, 154, 210, 266, 317, 357, 379, 380, 360, 321, 266, 201, 139, 86, 50, 32, 28, 29, 28, 25, 19, 11, 7, 11, 15, 20, 24, 25, 25, 24, 21, 19, 19, 19, 19, 20, 17, 14, 10, 5, 1, 2, 2, 2, 2, 2, 1, 3, 5, 6, 6, 5, 4, 1, 0, 3, 7, 9, 11, 12, 12, 13, 16, 21, 26, 27, 23, 18, 11, 4, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 6, 16, 27, 36, 41, 36, 28, 17, 7, 7, 17, 26, 32, 40, 44, 49, 63, 88, 124, 164, 202, 227, 238, 234, 220, 199, 176, 150, 122, 90, 60, 35, 15, 3, 0, 0, 0, 0, 2, 8, 16, 22, 25, 24, 20, 12, 5, 0, 0, 6, 18, 36, 60, 93, 130, 169, 205, 231, 245, 242, 222, 189, 150, 109, 71, 43, 22, 11, 14, 27, 41, 52, 56, 51, 40, 28, 19, 14, 10, 9, 7, 3, 2, 15, 40, 75, 120, 171, 217, 253, 280, 301, 319, 334, 345, 345, 328, 291, 236, 172, 110, 61, 28, 12, 6, 7, 6, 6, 4, 1, 0, 0, 0, 0, 0, 1, 6, 15, 26, 35, 41, 37, 30, 20, 9, 4, 8, 13, 15, 16, 15, 12, 10, 10, 9, 9, 9, 6, 2, 8, 26, 48, 66, 80, 80, 67, 54, 50, 67, 102, 150, 201, 247, 282, 305, 316, 315, 300, 272, 235, 193, 151, 111, 74, 46, 26, 10, 0, 7, 22, 40, 57, 71, 72, 60, 43, 25, 9, 1, 0, 0, 0, 0, 0, 0, 0, 0, 7, 21, 36, 51, 66, 74, 78, 80, 87, 101, 126, 160, 199, 238, 273, 300, 316, 319, 306, 275, 230, 176, 119, 70, 33, 11, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 13, 24, 42, 65, 89, 115, 138, 157, 173, 186, 194, 197, 192, 179, 158, 136, 116, 100, 89, 80, 71, 61, 51, 42, 33, 25, 18, 12, 5, 3, 6, 10, 13, 17, 16, 13, 9, 5, 1, 3, 8, 12, 15, 15, 13, 9, 4, 1, 1, 1, 1, 1, 1, 1, 2, 4, 4, 4, 3, 2, 1, 0, 0, 0, 0, 0, 2, 7, 13, 18, 22, 22, 18, 12, 7, 2, 0, 0, 0, 0, 0, 3, 8, 12, 13, 12, 11, 7, 2, 0, 0, 3, 9, 20, 37, 62, 92, 126, 163, 203, 246, 290, 333, 366, 382, 376, 347, 304, 263, 239, 243, 275, 322, 367, 392, 390, 366, 330, 292, 259, 231, 201, 166, 125, 82, 47, 21, 6, 1, 9, 20, 35, 54, 77, 101, 129, 163, 202, 245, 285, 317, 334, 333, 321, 304, 290, 289, 303, 330, 360, 386, 400, 397, 380, 351, 312, 267, 216, 163, 110, 67, 35, 17, 12, 19, 29, 42, 54, 62, 64, 61, 53, 43, 33, 25, 18, 12, 9, 5, 1, 8, 21, 34, 42, 47, 41, 31, 18, 14, 22, 39, 55, 70, 75, 70, 57, 41, 26, 18, 19, 26, 38, 49, 53, 47, 36, 24, 11, 2, 1, 3, 7, 11, 14, 14, 12, 9, 6, 9, 17, 28, 36, 40, 38, 31, 24, 19, 17, 16, 14, 11, 7, 2, 0, 0, 0, 0, 0, 0, 2, 6, 10, 13, 14, 12, 9, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 13, 15, 15, 13, 9, 4, 5, 18, 34, 52, 68, 78, 76, 64, 46, 30, 18, 12, 11, 11, 10, 9, 6, 2, 0, 1, 8, 22, 38, 53, 64, 64, 53, 38, 22, 8, 1, 0, 0, 2, 10, 20, 29, 34, 36, 31, 27, 23, 21, 19, 17, 14, 9, 4, 0, 0, 10, 30, 54, 76, 99, 117, 135, 161, 203, 258, 316, 362, 385, 378, 343, 292, 234, 182, 139, 108, 89, 79, 74, 71, 67, 58, 43, 31, 18, 7, 6, 18, 32, 42, 50, 51, 44, 34, 25, 20, 15, 11, 8, 5, 1, 6, 17, 27, 38, 52, 63, 74, 90, 110, 131, 154, 176, 197, 216, 235, 248, 252, 243, 220, 186, 146, 107, 72, 43, 25, 13, 4, 3, 18, 47, 87, 134, 184, 224, 245, 248, 237, 218, 196, 174, 152, 131, 110, 89, 72, 60, 50, 41, 30, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 4, 14, 26, 39, 52, 58, 55, 43, 30, 17, 6, 0, 0, 1, 4, 7, 13, 24, 36, 50, 61, 68, 67, 62, 53, 46, 43, 46, 55, 71, 94, 125, 160, 198, 233, 261, 282, 295, 302, 301, 286, 259, 218, 171, 125, 91, 70, 62, 60, 59, 55, 47, 37, 27, 17, 10, 6, 4, 6, 11, 16, 19, 19, 15, 11, 6, 1, 1, 7, 18, 29, 38, 43, 42, 34, 25, 19, 17, 19, 24, 31, 40, 50, 58, 62, 60, 49, 36, 21, 8, 0, 2, 3, 3, 3, 5, 11, 22, 38, 52, 61, 58, 48, 33, 17, 4, 4, 12, 19, 23, 24, 22, 15, 8, 2, 0, 1, 5, 10, 13, 14, 13, 10, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 17, 26, 31, 32, 28, 20, 13, 10, 10, 14, 20, 26, 30, 36, 41, 45, 47, 45, 39, 28, 19, 11, 4, 0, 0, 4, 13, 26, 41, 56, 66, 70, 67, 60, 49, 39, 27, 17, 10, 5, 0, 6, 15, 23, 30, 39, 46, 53, 61, 67, 67, 58, 46, 30, 14, 2, 0, 3, 9, 17, 28, 40, 47, 48, 41, 31, 20, 9, 6, 13, 25, 35, 41, 41, 34, 23, 14, 10, 10, 12, 11, 11, 7, 3, 1, 5, 10, 14, 18, 18, 15, 11, 6, 2, 5, 12, 17, 20, 22, 20, 16, 15, 15, 17, 18, 18, 16, 15, 15, 18, 23, 28, 32, 34, 32, 25, 18, 12, 5, 9, 23, 35, 44, 52, 55, 54, 54, 55, 57, 56, 55, 52, 51, 52, 52, 48, 39, 28, 15, 4, 0, 0, 0, 0, 2, 10, 20, 27, 28, 27, 22, 12, 13, 30, 55, 83, 119, 154, 185, 213, 234, 242, 233, 206, 165, 119, 79, 54, 45, 52, 71, 90, 99, 94, 76, 54, 30, 12, 7, 15, 23, 30, 36, 36, 32, 24, 16, 9, 4, 0, 0, 0, 0, 2, 6, 13, 21, 29, 35, 39, 36, 30, 23, 17, 15, 19, 27, 35, 40, 38, 31, 21, 11, 3, 0, 2, 9, 17, 22, 23, 22, 18, 17, 24, 37, 47, 51, 47, 37, 21, 13, 22, 42, 60, 75, 78, 66, 48, 28, 14, 10, 13, 17, 19, 19, 15, 10, 6, 4, 2, 3, 4, 7, 9, 10, 9, 7, 4, 1, 0, 0, 0, 0, 0, 2, 4, 6, 7, 10, 13, 16, 18, 18, 16, 13, 12, 14, 19, 22, 24, 21, 15, 9, 4, 2, 2, 2, 1, 0, 0, 1, 3, 8, 19, 32, 46, 58, 61, 54, 42, 28, 13, 3, 4, 12, 19, 23, 24, 22, 16, 12, 15, 24, 33, 41, 45, 45, 45, 49, 58, 73, 96, 127, 166, 211, 256, 292, 314, 321, 316, 305, 296, 289, 284, 278, 269, 259, 254, 257, 266, 278, 286, 285, 274, 253, 225, 195, 163, 133, 105, 83, 63, 47, 32, 22, 13, 5, 8, 23, 40, 54, 65, 64, 51, 36, 19, 8, 7, 14, 18, 17, 17, 13, 8, 12, 28, 44, 54, 58, 51, 38, 21, 8, 9, 21, 34, 45, 52, 48, 38, 25, 18, 21, 29, 40, 46, 43, 35, 23, 10, 1, 1, 6, 13, 19, 22, 22, 21, 23, 35, 59, 90, 117, 128, 117, 92, 61, 30, 8, 5, 16, 26, 34, 41, 46, 46, 45, 44, 43, 38, 30, 21, 11, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 9, 16, 20, 22, 19, 15, 8, 2, 0, 2, 6, 9, 12, 17, 23, 28, 34, 40, 44, 47, 49, 51, 50, 47, 40, 31, 21, 13, 9, 12, 21, 36, 52, 67, 75, 74, 64, 48, 30, 15, 6, 2, 2, 2, 2, 3, 8, 15, 21, 24, 22, 18, 12, 4, 0, 0, 4, 8, 13, 18, 22, 22, 20, 17, 12, 8, 4, 2, 2, 6, 12, 17, 20, 18, 15, 11, 16, 32, 62, 104, 157, 211, 257, 289, 299, 288, 260, 222, 185, 154, 132, 117, 106, 97, 89, 85, 82, 82, 81, 79, 74, 68, 59, 50, 39, 28, 19, 14, 17, 27, 40, 54, 60, 58, 46, 32, 17, 6, 0, 0, 0, 4, 18, 39, 67, 100, 133, 160, 180, 193, 205, 219, 233, 246, 251, 243, 221, 187, 148, 113, 86, 69, 59, 52, 46, 39, 31, 24, 22, 25, 32, 39, 44, 42, 34, 25, 14, 5, 0, 0, 5, 15, 29, 44, 56, 59, 51, 39, 24, 11, 1, 1, 7, 16, 24, 29, 30, 26, 18, 10, 2, 0, 0, 0, 3, 10, 18, 25, 32, 37, 42, 48, 58, 68, 74, 71, 58, 42, 25, 9, 0, 4, 9, 15, 19, 21, 17, 13, 7, 2, 1, 1, 1, 1, 1, 3, 15, 33, 50, 64, 71, 69, 61, 57, 61, 72, 81, 83, 70, 54, 33, 13, 9, 25, 42, 55, 62, 57, 44, 27, 11, 12, 29, 51, 75, 106, 136, 168, 201, 234, 261, 276, 274, 258, 232, 202, 169, 136, 103, 72, 47, 31, 25, 30, 39, 48, 58, 68, 80, 91, 102, 111, 118, 125, 138, 158, 180, 199, 207, 196, 167, 121, 80, 43, 21, 24, 48, 73, 90, 95, 83, 61, 37, 25, 26, 36, 45, 48, 42, 31, 18, 7, 2, 2, 3, 2, 2, 2, 1, 3, 11, 22, 30, 35, 31, 26, 17, 8, 9, 20, 29, 35, 36, 31, 21, 12, 8, 10, 17, 26, 36, 43, 46, 44, 39, 31, 24, 19, 16, 13, 11, 8, 5, 1, 0, 0, 0, 0, 2, 3, 5, 6, 7, 6, 4, 3, 3, 7, 18, 35, 57, 75, 85, 81, 65, 45, 25, 8, 0, 0, 6, 16, 29, 42, 57, 65, 68, 63, 53, 39, 26, 15, 6, 0, 4, 12, 23, 35, 46, 48, 42, 32, 20, 9, 9, 25, 44, 59, 71, 68, 55, 37, 19, 6, 0, 1, 5, 12, 20, 31, 44, 53, 59, 61, 58, 51, 45, 40, 37, 36, 34, 31, 25, 18, 10, 5, 1, 0, 3, 11, 18, 24, 26, 24, 18, 11, 8, 11, 15, 16, 16, 15, 13, 16, 24, 32, 36, 34, 28, 17, 7, 1, 0, 1, 1, 1, 1, 1, 0, 6, 16, 26, 34, 38, 33, 26, 15, 6, 4, 12, 22, 30, 34, 33, 26, 17, 8, 2, 3, 9, 15, 19, 20, 17, 13, 7, 4, 8, 17, 29, 43, 61, 78, 92, 106, 116, 125, 135, 152, 175, 203, 228, 244, 246, 234, 213, 189, 170, 152, 136, 115, 90, 62, 37, 17, 4, 0, 0, 0, 0, 0, 0, 0, 6, 21, 37, 53, 66, 69, 61, 47, 35, 28, 29, 33, 35, 31, 25, 16, 6, 5, 17, 31, 43, 51, 51, 41, 28, 14, 4, 0, 0, 0, 0, 0, 2, 10, 22, 34, 43, 48, 45, 39, 35, 37, 47, 64, 86, 111, 140, 171, 199, 226, 244, 251, 247, 234, 211, 183, 151, 116, 80, 50, 27, 11, 2, 0, 3, 9, 15, 18, 20, 17, 13, 6, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 13, 19, 27, 34, 39, 41, 44, 46, 49, 52, 54, 49, 40, 30, 19, 8, 7, 17, 26, 31, 35, 30, 23, 17, 14, 14, 14, 14, 11, 7, 6, 17, 33, 48, 59, 61, 53, 38, 22, 8, 5, 9, 17, 26, 37, 45, 48, 47, 39, 29, 19, 9, 2, 0, 1, 3, 5, 9, 17, 25, 35, 43, 47, 44, 36, 25, 14, 5, 0, 0, 0, 0, 0, 2, 7, 11, 13, 14, 14, 17, 26, 40, 56, 68, 70, 59, 44, 25, 10, 5, 9, 10, 9, 10, 9, 11, 16, 23, 29, 29, 24, 18, 9, 2, 0, 0, 0, 7, 18, 30, 41, 48, 47, 38, 26, 14, 5, 0, 0, 0, 6, 23, 49, 81, 118, 152, 176, 186, 184, 172, 153, 129, 105, 83, 64, 50, 42, 36, 31, 24, 18, 11, 4, 1, 4, 8, 12, 16, 21, 26, 32, 37, 39, 37, 32, 24, 14, 8, 4, 3, 3, 3, 2, 1, 2, 7, 19, 38, 66, 100, 133, 161, 176, 178, 170, 159, 150, 149, 154, 158, 154, 139, 114, 89, 71, 70, 80, 95, 103, 97, 77, 53, 27, 10, 8, 15, 20, 24, 26, 24, 21, 21, 27, 35, 43, 46, 42, 33, 22, 11, 4, 12, 25, 38, 46, 48, 41, 29, 16, 4, 0, 0, 0, 0, 0, 9, 28, 53, 77, 95, 96, 80, 58, 32, 10, 10, 25, 39, 47, 53, 46, 34, 18, 6, 0, 0, 0, 0, 0, 5, 13, 25, 40, 56, 66, 67, 60, 45, 30, 15, 4, 2, 8, 15, 23, 30, 35, 33, 27, 19, 14, 13, 18, 25, 31, 31, 27, 20, 11, 4, 8, 16, 22, 26, 26, 21, 13, 6, 1, 0, 1, 7, 15, 25, 36, 46, 52, 55, 54, 54, 57, 64, 76, 93, 111, 125, 135, 136, 130, 118, 106, 97, 92, 91, 90, 82, 67, 49, 31, 14, 5, 6, 8, 7, 8, 7, 3, 0, 0, 0, 0, 0, 0, 7, 19, 34, 45, 53, 49, 40, 26, 11, 2, 2, 9, 20, 34, 47, 57, 60, 60, 64, 77, 103, 138, 169, 187, 184, 159, 121, 84, 56, 41, 36, 36, 35, 32, 29, 31, 39, 51, 61, 65, 59, 46, 30, 16, 5, 12, 30, 49, 63, 71, 62, 48, 29, 13, 12, 25, 38, 48, 55, 52, 42, 30, 20, 15, 16, 22, 30, 37, 41, 40, 40, 44, 55, 75, 99, 122, 138, 146, 150, 155, 166, 183, 201, 212, 209, 193, 166, 134, 105, 80, 62, 48, 38, 31, 28, 23, 18, 14, 9, 3, 1, 4, 8, 12, 17, 22, 26, 29, 32, 36, 38, 35, 29, 22, 14, 7, 3, 10, 20, 29, 35, 37, 31, 22, 12, 4, 0, 1, 3, 5, 7, 9, 12, 17, 24, 33, 40, 41, 36, 27, 17, 7, 0, 2, 4, 3, 3, 4, 2, 5, 21, 44, 66, 83, 88, 75, 56, 32, 14, 16, 37, 63, 88, 113, 129, 135, 135, 132, 124, 115, 105, 96, 91, 94, 102, 107, 105, 91, 69, 45, 23, 7, 7, 17, 29, 39, 47, 45, 36, 24, 12, 6, 2, 2, 2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 12, 28, 43, 56, 62, 56, 43, 28, 12, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 11, 22, 32, 38, 39, 32, 23, 12, 4, 0, 0, 0, 0, 0, 0, 2, 12, 26, 42, 59, 72, 78, 78, 77, 79, 88, 105, 127, 150, 168, 175, 171, 155, 135, 117, 106, 104, 107, 109, 103, 87, 63, 40, 21, 6, 6, 19, 34, 46, 54, 51, 41, 27, 12, 3, 4, 7, 8, 8, 8, 6, 7, 15, 29, 41, 52, 53, 44, 32, 18, 6, 0, 7, 18, 28, 34, 35, 31, 22, 11, 4, 5, 11, 15, 21, 28, 35, 38, 39, 35, 29, 20, 11, 2, 5, 17, 33, 49, 66, 76, 79, 75, 67, 57, 46, 34, 24, 14, 7, 2, 0, 0, 0, 0, 7, 21, 42, 68, 100, 131, 154, 168, 169, 161, 146, 134, 127, 129, 138, 149, 154, 152, 139, 116, 90, 64, 40, 23, 11, 8, 12, 22, 32, 38, 36, 30, 20, 10, 7, 17, 29, 37, 41, 37, 29, 17, 9, 12, 22, 32, 40, 44, 41, 33, 23, 14, 8, 6, 9, 17, 24, 31, 34, 31, 23, 15, 8, 2, 0, 0, 4, 14, 27, 40, 52, 56, 49, 37, 25, 11, 2, 0, 5, 17, 31, 47, 63, 69, 65, 53, 38, 29, 29, 40, 57, 71, 75, 66, 51, 32, 15, 3, 4, 13, 23, 29, 31, 29, 22, 12, 3, 4, 9, 13, 14, 15, 12, 7, 4, 3, 5, 8, 10, 12, 12, 10, 8, 5, 3, 1, 0, 0, 0, 0, 0, 0, 0, 2, 7, 13, 20, 26, 32, 34, 34, 35, 36, 42, 52, 68, 86, 103, 112, 108, 91, 68, 48, 44, 59, 91, 131, 166, 185, 184, 166, 139, 113, 93, 80, 73, 70, 69, 70, 76, 85, 96, 104, 107, 104, 97, 89, 87, 91, 101, 110, 115, 112, 102, 87, 72, 60, 52, 43, 33, 24, 14, 6, 0, 3, 12, 23, 32, 40, 43, 37, 27, 16, 7, 2, 0, 0, 0, 0, 0, 2, 8, 18, 28, 38, 41, 36, 28, 17, 6, 8, 29, 60, 100, 145, 186, 212, 219, 208, 182, 147, 110, 77, 52, 40, 38, 44, 56, 71, 85, 98, 105, 107, 103, 97, 90, 84, 79, 76, 74, 76, 85, 103, 127, 147, 154, 140, 110, 75, 39, 12, 9, 26, 45, 59, 69, 66, 52, 34, 17, 4, 0, 0, 0, 0, 0, 2, 10, 21, 31, 37, 38, 32, 23, 12, 3, 4, 15, 28, 39, 48, 48, 39, 28, 15, 4, 4, 11, 19, 28, 38, 48, 63, 81, 104, 129, 149, 159, 160, 152, 141, 133, 128, 125, 120, 109, 92, 75, 66, 69, 84, 108, 130, 142, 138, 119, 92, 64, 41, 30, 25, 26, 27, 27, 24, 22, 20, 22, 25, 31, 37, 41, 45, 47, 48, 50, 54, 60, 67, 73, 76, 77, 71, 61, 45, 31, 18, 8, 1, 6, 18, 31, 39, 45, 42, 35, 28, 28, 34, 45, 54, 58, 56, 49, 38, 27, 17, 10, 5, 1, 0, 0, 0, 0, 0, 0, 4, 16, 33, 54, 79, 108, 137, 165, 191, 210, 216, 205, 180, 147, 118, 102, 105, 123, 149, 171, 181, 175, 156, 132, 114, 109, 118, 132, 141, 134, 109, 79, 46, 25, 26, 43, 57, 65, 60, 48, 30, 13, 9, 19, 28, 33, 34, 29, 19, 9, 1, 5, 16, 26, 34, 36, 33, 25, 14, 8, 19, 43, 71, 100, 125, 136, 134, 122, 110, 106, 114, 135, 160, 180, 184, 168, 132, 91, 52, 22, 8, 17, 35, 56, 77, 93, 94, 82, 61, 39, 20, 6, 0, 3, 10, 18, 26, 34, 39, 37, 33, 26, 18, 11, 6, 2, 0, 1, 3, 5, 7, 6, 6, 4, 2, 0, 0, 0, 0, 6, 22, 46, 76, 110, 139, 154, 154, 143, 126, 110, 102, 104, 117, 137, 159, 178, 187, 183, 165, 135, 99, 64, 35, 16, 5, 1, 0, 0, 0, 4, 12, 24, 34, 41, 41, 34, 24, 12, 4, 0, 0, 3, 7, 10, 13, 15, 14, 13, 16, 23, 33, 43, 49, 50, 44, 36, 28, 21, 18, 15, 12, 9, 5, 2, 0, 0, 6, 18, 30, 38, 42, 37, 28, 21, 25, 46, 79, 116, 151, 174, 183, 180, 171, 161, 153, 144, 133, 117, 96, 75, 60, 55, 60, 69, 75, 70, 57, 40, 21, 6, 0, 0, 0, 2, 6, 11, 19, 25, 30, 32, 33, 31, 30, 28, 25, 20, 15, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 1, 3, 3, 3, 3, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 11, 27, 47, 69, 90, 107, 118, 126, 131, 135, 138, 139, 140, 140, 140, 137, 130, 115, 92, 67, 49, 44, 57, 86, 122, 154, 172, 174, 161, 138, 115, 97, 88, 87, 94, 107, 119, 127, 128, 120, 102, 78, 55, 37, 30, 34, 49, 70, 89, 100, 99, 84, 62, 40, 20, 5, 0, 0, 3, 7, 10, 10, 10, 9, 5, 1, 9, 25, 46, 66, 82, 86, 77, 62, 49, 47, 57, 76, 96, 111, 115, 113, 112, 120, 138, 162, 182, 187, 171, 136, 95, 55, 25, 13, 17, 26, 33, 40, 41, 37, 33, 29, 25, 22, 17, 12, 8, 3, 0, 0, 0, 0, 1, 2, 2, 2, 1, 0, 0, 0, 4, 10, 20, 29, 39, 43, 42, 36, 29, 24, 23, 29, 41, 61, 86, 111, 135, 152, 160, 161, 157, 152, 151, 154, 157, 158, 151, 134, 107, 74, 47, 23, 7, 2, 11, 23, 36, 46, 54, 53, 46, 34, 24, 15, 9, 4, 2, 1, 3, 3, 3, 3, 2, 0, 4, 15, 26, 35, 40, 39, 31, 20, 9, 2, 0, 0, 0, 0, 0, 2, 5, 9, 12, 16, 18, 18, 18, 20, 24, 34, 49, 69, 90, 110, 122, 125, 119, 109, 100, 99, 108, 126, 147, 164, 171, 167, 154, 134, 114, 95, 79, 63, 49, 36, 25, 15, 9, 4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 19, 32, 42, 48, 45, 35, 23, 11, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 8, 14, 18, 20, 18, 14, 8, 2, 0, 0, 0, 0, 0, 6, 16, 26, 35, 40, 35, 27, 17, 9, 14, 29, 45, 60, 69, 70, 67, 69, 81, 111, 148, 188, 216, 222, 203, 164, 114, 69, 33, 12, 8, 16, 27, 44, 62, 80, 96, 108, 115, 118, 118, 117, 117, 119, 120, 120, 117, 110, 103, 99, 96, 94, 91, 83, 69, 53, 38, 28, 25, 26, 30, 31, 31, 28, 23, 17, 11, 7, 4, 1, 2, 6, 7, 7, 8, 9, 13, 23, 39, 54, 61, 56, 46, 31, 14, 2, 9, 31, 62, 95, 128, 146, 143, 122, 94, 69, 57, 61, 80, 102, 122, 129, 121, 98, 70, 44, 22, 6, 0, 0, 9, 23, 38, 52, 62, 61, 52, 38, 26, 21, 26, 41, 60, 81, 98, 110, 115, 119, 123, 130, 142, 156, 168, 172, 167, 150, 125, 96, 68, 43, 25, 15, 11, 14, 23, 30, 34, 32, 26, 17, 9, 2, 0, 13, 35, 61, 85, 107, 111, 101, 83, 66, 60, 70, 95, 129, 164, 193, 205, 195, 165, 121, 79, 41, 16, 12, 23, 34, 43, 49, 49, 45, 40, 36, 31, 24, 17, 10, 4, 0, 0, 8, 20, 34, 45, 52, 49, 39, 25, 12, 3, 0, 0, 3, 9, 16, 22, 28, 30, 29, 27, 29, 34, 40, 43, 39, 32, 22, 12, 12, 26, 44, 58, 66, 61, 48, 30, 13, 2, 2, 6, 7, 7, 7, 6, 2, 0, 0, 0, 0, 1, 4, 7, 12, 17, 22, 26, 31, 37, 41, 44, 43, 38, 31, 24, 21, 22, 25, 28, 28, 24, 18, 11, 5, 1, 0, 0, 2, 10, 23, 36, 47, 54, 51, 40, 28, 19, 18, 26, 39, 52, 57, 53, 41, 28, 15, 4, 0, 0, 9, 26, 48, 66, 80, 78, 64, 44, 24, 7, 8, 22, 39, 52, 61, 59, 47, 33, 24, 25, 33, 43, 48, 44, 35, 22, 18, 25, 45, 66, 88, 99, 100, 96, 95, 102, 121, 150, 180, 206, 222, 225, 216, 196, 167, 132, 93, 59, 33, 14, 12, 26, 48, 73, 100, 120, 134, 140, 143, 144, 145, 143, 140, 136, 131, 125, 117, 104, 84, 61, 40, 20, 11, 20, 41, 60, 76, 84, 80, 69, 60, 58, 62, 67, 66, 55, 41, 25, 9, 3, 19, 44, 71, 96, 115, 115, 100, 77, 59, 55, 68, 95, 130, 162, 182, 184, 172, 149, 125, 108, 103, 111, 127, 144, 156, 156, 146, 129, 109, 92, 80, 71, 64, 58, 52, 45, 42, 43, 49, 58, 67, 73, 73, 67, 56, 46, 38, 35, 37, 39, 36, 29, 22, 13, 4, 3, 11, 22, 33, 43, 46, 40, 30, 19, 9, 1, 5, 17, 33, 47, 56, 56, 46, 32, 17, 7, 16, 33, 50, 62, 67, 59, 44, 26, 11, 2, 0, 0, 0, 2, 9, 19, 30, 39, 42, 38, 29, 18, 8, 2, 0, 0, 0, 0, 0, 0, 1, 7, 15, 26, 39, 56, 70, 81, 87, 85, 73, 54, 36, 19, 6, 0, 6, 18, 34, 50, 68, 81, 90, 95, 100, 105, 105, 99, 85, 63, 41, 22, 8, 0, 0, 3, 11, 22, 37, 53, 65, 68, 61, 47, 31, 17, 6, 0, 0, 0, 0, 4, 11, 23, 40, 60, 77, 87, 87, 74, 55, 36, 17, 6, 9, 22, 35, 45, 49, 43, 32, 18, 6, 7, 19, 34, 48, 62, 67, 64, 54, 42, 32, 29, 34, 46, 64, 82, 96, 103, 102, 98, 97, 104, 117, 135, 150, 155, 145, 126, 102, 83, 75, 80, 94, 112, 126, 131, 125, 108, 84, 57, 35, 18, 6, 0, 0, 0, 7, 20, 38, 56, 70, 74, 62, 46, 28, 12, 0, 8, 25, 45, 64, 80, 85, 77, 61, 44, 29, 18, 11, 8, 4, 2, 2, 10, 22, 35, 44, 48, 41, 31, 18, 7, 0, 0, 4, 11, 21, 30, 38, 42, 41, 39, 36, 37, 39, 43, 43, 40, 31, 22, 13, 5, 0, 0, 12, 36, 67, 97, 122, 126, 107, 79, 48, 20, 2, 2, 15, 35, 59, 83, 104, 111, 106, 92, 76, 62, 55, 57, 67, 82, 102, 123, 143, 159, 168, 165, 152, 130, 104, 81, 66, 60, 62, 69, 74, 77, 74, 66, 53, 38, 25, 14, 5, 0, 5, 12, 18, 20, 20, 17, 14, 18, 32, 55, 80, 104, 121, 130, 132, 131, 126, 119, 108, 97, 85, 79, 81, 91, 106, 121, 131, 136, 134, 131, 126, 120, 109, 95, 75, 55, 44, 46, 61, 88, 117, 139, 146, 136, 115, 92, 78, 82, 103, 138, 176, 206, 218, 211, 184, 148, 109, 76, 54, 45, 50, 68, 95, 126, 154, 172, 169, 146, 109, 72, 37, 11, 16, 42, 69, 89, 103, 95, 73, 46, 21, 4, 0, 0, 0, 0, 0, 2, 10, 25, 41, 57, 68, 66, 53, 38, 21, 9, 13, 32, 55, 81, 105, 121, 126, 125, 123, 125, 131, 140, 146, 146, 138, 122, 103, 87, 79, 79, 88, 103, 121, 134, 140, 135, 116, 85, 57, 32, 11, 0, 11, 31, 56, 82, 107, 115, 104, 79, 53, 28, 9, 0, 6, 17, 31, 42, 49, 47, 38, 25, 19, 26, 45, 68, 91, 102, 95, 75, 52, 28, 9, 1, 6, 10, 15, 18, 23, 27, 32, 38, 44, 46, 42, 33, 23, 12, 5, 5, 11, 19, 25, 30, 30, 24, 17, 10, 4, 0, 0, 0, 4, 11, 21, 30, 37, 38, 31, 23, 13, 5, 0, 2, 4, 3, 3, 3, 2, 0, 2, 16, 36, 58, 77, 87, 78, 61, 39, 18, 3, 0, 7, 17, 29, 40, 50, 52, 49, 42, 33, 24, 16, 11, 6, 2, 0, 7, 21, 39, 57, 75, 82, 80, 70, 61, 55, 56, 60, 63, 57, 46, 32, 18, 6, 0, 8, 23, 40, 53, 62, 57, 46, 30, 14, 2, 7, 25, 50, 77, 102, 118, 118, 106, 88, 73, 65, 65, 72, 84, 98, 113, 126, 135, 138, 131, 113, 87, 59, 35, 18, 12, 15, 21, 25, 24, 20, 13, 6, 1, 0, 0, 2, 7, 12, 15, 16, 15, 11, 6, 2, 4, 11, 17, 23, 26, 24, 18, 11, 5, 0, 0, 0, 0, 0, 0, 1, 7, 14, 22, 29, 36, 40, 43, 51, 63, 78, 93, 103, 102, 92, 75, 53, 36, 25, 24, 33, 53, 81, 114, 146, 169, 175, 161, 130, 91, 55, 27, 20, 30, 46, 58, 63, 54, 40, 24, 9, 0, 0, 0, 0, 0, 0, 6, 20, 37, 58, 80, 97, 104, 103, 93, 77, 56, 37, 21, 9, 2, 0, 4, 12, 21, 27, 32, 30, 23, 15, 7, 1, 0, 2, 10, 22, 35, 47, 55, 52, 41, 28, 15, 5, 4, 11, 18, 24, 28, 29, 28, 29, 39, 57, 81, 105, 122, 130, 127, 117, 106, 97, 91, 87, 82, 78, 74, 73, 74, 77, 76, 69, 55, 39, 23, 13, 12, 22, 34, 44, 50, 52, 52, 52, 57, 65, 72, 73, 68, 58, 44, 32, 25, 23, 25, 27, 28, 27, 25, 23, 25, 31, 42, 55, 68, 76, 76, 67, 50, 34, 18, 6, 0, 2, 10, 20, 28, 35, 38, 36, 31, 26, 25, 24, 23, 19, 15, 9, 4, 0, 3, 13, 26, 40, 50, 53, 45, 34, 20, 7, 3, 17, 37, 56, 71, 78, 69, 52, 32, 15, 2, 0, 0, 0, 0, 0, 0, 0, 1, 9, 23, 46, 76, 109, 137, 156, 158, 145, 120, 94, 72, 65, 74, 96, 122, 143, 150, 140, 116, 86, 59, 42, 40, 50, 65, 78, 84, 81, 71, 56, 42, 29, 18, 11, 6, 2, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 0, 1, 6, 13, 17, 20, 19, 16, 10, 4, 0, 4, 13, 27, 43, 62, 78, 87, 87, 79, 64, 44, 28, 14, 4, 0, 2, 7, 13, 17, 19, 18, 14, 8, 2, 0, 2, 10, 23, 40, 59, 79, 98, 111, 119, 122, 118, 104, 86, 65, 48, 39, 42, 55, 75, 96, 113, 124, 128, 126, 119, 106, 88, 66, 44, 25, 11, 2, 0, 0, 4, 13, 26, 40, 55, 65, 67, 60, 48, 33, 20, 9, 2, 0, 0, 1, 4, 8, 14, 23, 35, 48, 63, 77, 90, 99, 104, 106, 109, 114, 121, 127, 126, 115, 93, 67, 41, 20, 4, 8, 24, 44, 66, 88, 101, 102, 92, 77, 60, 46, 35, 28, 21, 15, 10, 5, 1, 0, 0, 0, 3, 11, 21, 32, 43, 48, 45, 36, 25, 14, 4, 5, 17, 32, 47, 60, 63, 53, 40, 24, 10, 1, 3, 13, 24, 36, 45, 47, 39, 29, 17, 6, 5, 15, 30, 48, 67, 80, 83, 79, 69, 58, 51, 51, 58, 70, 84, 94, 98, 96, 88, 78, 67, 58, 52, 47, 43, 41, 42, 49, 65, 87, 111, 131, 141, 134, 115, 88, 61, 43, 39, 47, 64, 81, 93, 94, 88, 74, 58, 44, 35, 28, 23, 19, 13, 9, 5, 6, 17, 34, 53, 74, 86, 89, 80, 61, 40, 23, 9, 1, 0, 1, 3, 4, 4, 4, 3, 1, 0, 2, 13, 31, 57, 89, 126, 158, 185, 204, 213, 208, 189, 155, 110, 72, 37, 13, 10, 32, 61, 91, 122, 143, 149, 142, 129, 114, 102, 92, 85, 80, 74, 65, 53, 38, 25, 14, 5, 0, 1, 11, 25, 41, 53, 59, 53, 42, 26, 11, 3, 6, 12, 16, 18, 17, 14, 8, 2, 5, 17, 32, 45, 54, 54, 44, 31, 16, 4, 6, 20, 37, 54, 69, 73, 67, 52, 36, 25, 18, 16, 15, 13, 10, 6, 2, 1, 10, 25, 41, 55, 65, 64, 53, 37, 21, 9, 1, 0, 0, 0, 0, 0, 0, 0, 2, 8, 18, 28, 38, 44, 42, 33, 23, 12, 4, 0, 0, 6, 15, 26, 35, 42, 40, 32, 22, 11, 4, 2, 5, 7, 6, 7, 6, 3, 0, 1, 5, 11, 17, 20, 21, 18, 13, 6, 2, 6, 17, 30, 42, 52, 55, 49, 38, 26, 16, 9, 7, 8, 7, 6, 5, 3, 1, 0, 0, 0, 0, 0, 0, 1, 7, 18, 31, 43, 50, 50, 43, 31, 18, 7, 1, 0, 0, 1, 4, 8, 12, 16, 20, 24, 32, 44, 61, 81, 98, 109, 109, 100, 85, 70, 61, 59, 66, 75, 83, 86, 80, 68, 54, 42, 35, 33, 38, 46, 55, 62, 68, 70, 66, 57, 45, 31, 18, 8, 2, 0, 0, 0, 1, 5, 9, 14, 19, 21, 20, 15, 11, 6, 2, 0, 4, 15, 31, 47, 61, 67, 63, 52, 43, 41, 54, 78, 108, 133, 145, 138, 112, 79, 48, 22, 6, 13, 33, 55, 76, 93, 98, 88, 70, 52, 37, 28, 27, 26, 25, 21, 16, 9, 4, 0, 0, 0, 0, 0, 0, 2, 9, 19, 28, 37, 42, 37, 28, 19, 9, 8, 19, 36, 56, 76, 86, 85, 71, 51, 31, 14, 3, 0, 0, 0, 0, 0, 0, 0, 4, 13, 24, 34, 42, 42, 34, 24, 13, 4, 0, 4, 16, 31, 47, 62, 69, 66, 52, 35, 20, 8, 1, 0, 0, 0, 2, 8, 16, 25, 34, 39, 39, 32, 23, 14, 7, 2, 0, 0, 1, 5, 8, 12, 13, 11, 9, 5, 1, 0, 0, 6, 18, 33, 48, 61, 63, 54, 40, 24, 11, 2, 0, 2, 8, 15, 22, 33, 44, 55, 68, 80, 90, 94, 90, 76, 56, 36, 19, 7, 9, 25, 46, 67, 87, 95, 88, 69, 47, 27, 12, 12, 24, 42, 61, 79, 89, 92, 89, 85, 82, 83, 87, 89, 88, 82, 71, 57, 47, 44, 50, 65, 87, 109, 127, 135, 133, 121, 103, 84, 68, 58, 54, 56, 63, 72, 81, 92, 103, 115, 129, 140, 147, 147, 136, 116, 88, 60, 35, 16, 4, 1, 7, 16, 27, 40, 55, 67, 76, 82, 85, 82, 75, 66, 55, 45, 39, 39, 41, 46, 51, 53, 48, 39, 28, 17, 8, 2, 2, 8, 15, 22, 28, 30, 26, 20, 12, 6, 1, 0, 1, 7, 18, 29, 39, 44, 41, 33, 22, 11, 2, 0, 4, 8, 11, 13, 13, 11, 7, 3, 0, 3, 12, 23, 34, 43, 45, 39, 29, 18, 7, 1, 0, 1, 2, 4, 5, 5, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 5, 17, 31, 46, 58, 61, 52, 39, 24, 10, 3, 7, 15, 25, 36, 46, 53, 55, 53, 46, 38, 29, 22, 21, 27, 39, 58, 77, 92, 101, 100, 91, 76, 59, 44, 34, 26, 22, 19, 16, 14, 15, 19, 29, 45, 65, 84, 99, 104, 98, 80, 58, 36, 18, 5, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 7, 15, 21, 26, 26, 22, 16, 9, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 12, 22, 33, 45, 56, 65, 69, 72, 71, 69, 68, 68, 68, 68, 66, 59, 49, 36, 24, 16, 15, 21, 32, 45, 58, 68, 73, 75, 74, 69, 64, 57, 46, 34, 24, 18, 16, 19, 24, 28, 28, 23, 16, 9, 3, 0, 0, 0, 2, 11, 25, 42, 60, 77, 86, 87, 82, 71, 60, 47, 38, 32, 30, 30, 33, 37, 42, 46, 51, 56, 61, 67, 73, 75, 71, 62, 48, 33, 19, 8, 2, 2, 6, 11, 15, 18, 20, 21, 25, 33, 46, 61, 77, 89, 91, 85, 70, 51, 34, 21, 17, 22, 34, 50, 69, 86, 99, 105, 105, 96, 79, 58, 38, 21, 9, 5, 12, 24, 39, 56, 72, 82, 87, 87, 84, 75, 65, 51, 36, 23, 12, 5, 3, 8, 16, 25, 34, 41, 44, 44, 39, 33, 25, 17, 10, 5, 1, 0, 2, 6, 9, 12, 14, 14, 10, 7, 3, 1, 0, 0, 0, 0, 2, 10, 23, 42, 67, 92, 111, 119, 114, 93, 68, 42, 21, 5, 0, 9, 23, 38, 51, 62, 62, 50, 36, 21, 8, 1, 0, 0, 2, 8, 19, 34, 55, 77, 96, 106, 108, 99, 81, 59, 39, 26, 21, 23, 30, 35, 37, 34, 29, 26, 29, 42, 61, 87, 112, 130, 136, 129, 108, 77, 50, 26, 8, 0, 14, 37, 68, 103, 140, 162, 166, 153, 128, 97, 69, 46, 30, 20, 13, 9, 5, 2, 0, 0, 0, 0, 2, 9, 20, 31, 41, 48, 46, 38, 27, 16, 7, 4, 7, 15, 24, 34, 40, 40, 34, 25, 15, 6, 1, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0, 3, 14, 32, 52, 72, 87, 91, 82, 65, 46, 32, 26, 32, 48, 69, 88, 100, 103, 94, 76, 53, 33, 17, 5, 0, 0, 0, 6, 21, 45, 76, 111, 143, 163, 168, 158, 137, 107, 75, 47, 26, 11, 2, 0, 0, 0, 2, 6, 11, 16, 20, 21, 19, 15, 10, 6, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 12, 21, 31, 40, 45, 45, 43, 41, 42, 48, 57, 65, 69, 67, 60, 50, 43, 44, 55, 79, 108, 138, 163, 179, 181, 171, 152, 127, 99, 73, 51, 34, 20, 12, 7, 7, 15, 30, 54, 84, 115, 144, 164, 172, 163, 144, 117, 93, 73, 66, 70, 80, 90, 94, 86, 67, 47, 27, 10, 1, 4, 17, 36, 57, 82, 103, 113, 110, 95, 72, 47, 27, 11, 2, 0, 4, 17, 37, 60, 85, 108, 121, 123, 119, 113, 106, 102, 101, 98, 92, 81, 65, 44, 28, 13, 4, 1, 7, 18, 30, 45, 61, 71, 75, 70, 59, 42, 27, 13, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 12, 22, 32, 42, 46, 46, 41, 36, 31, 30, 32, 37, 40, 42, 39, 32, 23, 14, 7, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 23, 41, 61, 81, 93, 96, 88, 75, 59, 43, 29, 17, 10, 6, 5, 10, 17, 26, 34, 41, 41, 36, 27, 17, 9, 5, 11, 28, 48, 75, 101, 122, 133, 134, 124, 105, 82, 58, 36, 21, 15, 17, 27, 43, 61, 77, 89, 95, 93, 83, 68, 54, 41, 35, 39, 50, 66, 83, 98, 105, 105, 97, 85, 68, 52, 37, 24, 15, 8, 3, 1, 0, 0, 0, 0, 1, 7, 18, 32, 49, 64, 75, 79, 74, 62, 47, 31, 18, 8, 5, 8, 14, 21, 29, 35, 39, 40, 38, 34, 27, 19, 12, 6, 1, 0, 0, 0, 0, 1, 4, 8, 13, 17, 21, 22, 23, 23, 22, 20, 17, 13, 8, 4, 1, 1, 8, 18, 30, 42, 52, 55, 51, 41, 29, 20, 15, 14, 17, 20, 22, 20, 16, 11, 8, 8, 13, 20, 30, 38, 43, 45, 45, 45, 45, 47, 52, 57, 62, 66, 69, 69, 69, 66, 62, 56, 48, 35, 25, 14, 7, 1, 0, 0, 1, 7, 16, 26, 38, 50, 59, 67, 72, 75, 77, 78, 76, 74, 72, 69, 65, 60, 55, 47, 40, 35, 31, 31, 36, 44, 52, 62, 68, 70, 66, 56, 43, 29, 16, 7, 2, 0, 0, 0, 0, 0, 0, 0, 2, 9, 22, 38, 57, 74, 83, 81, 71, 53, 35, 20, 8, 2, 5, 13, 23, 33, 42, 47, 46, 42, 37, 33, 30, 31, 33, 34, 33, 29, 21, 14, 8, 4, 3, 4, 5, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 11, 24, 39, 55, 69, 74, 72, 63, 50, 39, 31, 26, 26, 29, 31, 34, 38, 45, 55, 72, 93, 117, 139, 152, 153, 140, 115, 82, 53, 28, 10, 1, 3, 10, 18, 24, 31, 34, 33, 32, 35, 42, 53, 65, 75, 80, 78, 69, 57, 43, 30, 20, 15, 14, 16, 21, 25, 27, 26, 22, 16, 11, 5, 1, 0, 0, 0, 0, 0, 1, 2, 3, 3, 3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 18, 36, 59, 86, 107, 118, 115, 97, 71, 45, 23, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 7, 16, 25, 31, 35, 31, 25, 17, 14, 17, 24, 34, 44, 50, 50, 46, 41, 37, 35, 39, 46, 56, 65, 73, 79, 84, 88, 94, 100, 105, 108, 105, 95, 78, 55, 35, 18, 6, 0, 2, 11, 24, 38, 53, 64, 66, 58, 43, 28, 15, 5, 0, 0, 0, 4, 12, 24, 36, 49, 56, 57, 51, 41, 28, 17, 8, 5, 11, 27, 50, 80, 112, 141, 162, 167, 160, 140, 110, 79, 52, 35, 30, 38, 53, 74, 95, 111, 121, 125, 124, 118, 111, 102, 93, 82, 72, 61, 48, 38, 31, 27, 27, 34, 45, 59, 76, 92, 107, 117, 122, 119, 108, 90, 66, 44, 25, 10, 2, 0, 0, 0, 1, 6, 15, 29, 42, 56, 65, 68, 63, 53, 40, 27, 16, 7, 2, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 2, 8, 19, 32, 50, 69, 86, 97, 103, 103, 96, 84, 67, 51, 35, 22, 14, 10, 10, 14, 22, 33, 47, 62, 75, 86, 90, 87, 76, 58, 40, 23, 10, 1, 0, 0, 5, 17, 34, 54, 74, 88, 91, 81, 63, 43, 25, 11, 7, 10, 17, 24, 29, 29, 24, 17, 10, 4, 3, 10, 20, 32, 45, 56, 60, 58, 53, 46, 42, 42, 47, 56, 65, 70, 68, 58, 42, 27, 14, 4, 0, 0, 1, 7, 15, 24, 31, 35, 33, 26, 17, 9, 2, 0, 0, 0, 0, 9, 25, 47, 71, 97, 113, 117, 107, 88, 62, 39, 20, 8, 2, 5, 9, 14, 20, 26, 29, 31, 32, 32, 34, 37, 40, 44, 47, 49, 49, 48, 45, 42, 37, 33, 26, 20, 13, 8, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 9, 18, 28, 39, 45, 45, 39, 28, 18, 9, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 6, 6, 5, 3, 2, 0, 0, 0, 0, 0, 0, 0, 6, 19, 37, 58, 81, 98, 106, 105, 94, 78, 60, 42, 30, 23, 23, 28, 36, 43, 47, 47, 42, 32, 23, 14, 9, 8, 13, 22, 34, 46, 57, 65, 70, 71, 68, 61, 52, 41, 30, 21, 15, 15, 22, 37, 55, 78, 99, 115, 122, 122, 112, 95, 74, 54, 35, 22, 14, 10, 7, 6, 5, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 9, 21, 38, 60, 83, 100, 108, 106, 94, 73, 51, 31, 16, 7, 6, 10, 16, 22, 25, 24, 19, 14, 8, 2, 0, 4, 15, 34, 60, 92, 124, 150, 165, 166, 153, 126, 91, 59, 32, 12, 3, 11, 24, 40, 55, 66, 66, 55, 40, 25, 11, 2, 0, 0, 4, 13, 23, 32, 41, 45, 43, 37, 31, 28, 30, 36, 46, 53, 56, 51, 40, 27, 16, 6, 0, 0, 0, 1, 6, 16, 26, 36, 43, 44, 36, 27, 18, 14, 16, 25, 38, 52, 63, 69, 68, 62, 50, 38, 28, 23, 25, 32, 44, 56, 66, 72, 74, 74, 72, 73, 76, 83, 91, 98, 100, 94, 80, 60, 40, 22, 9, 1, 0, 6, 16, 26, 37, 46, 48, 40, 30, 19, 11, 11, 20, 35, 50, 64, 68, 62, 47, 33, 17, 6, 0, 0, 4, 12, 24, 39, 54, 66, 72, 72, 65, 55, 41, 27, 16, 8, 2, 0, 0, 0, 0, 4, 12, 25, 40, 53, 59, 56, 45, 31, 17, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 5, 5, 5, 4, 2, 1, 0, 1, 6, 13, 23, 32, 41, 43, 39, 30, 20, 11, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 27, 51, 78, 107, 126, 130, 120, 96, 67, 41, 20, 6, 0, 2, 6, 13, 19, 27, 31, 33, 32, 32, 32, 36, 41, 48, 52, 52, 48, 41, 31, 23, 21, 27, 40, 60, 82, 102, 116, 121, 113, 95, 69, 45, 24, 9, 0, 6, 22, 47, 77, 112, 145, 166, 171, 159, 133, 97, 63, 35, 14, 1, 0, 2, 11, 25, 41, 60, 78, 87, 87, 78, 63, 45, 28, 15, 8, 7, 12, 20, 31, 42, 50, 55, 56, 53, 47, 41, 34, 30, 30, 32, 37, 43, 48, 51, 51, 48, 40, 30, 20, 11, 5, 1, 0, 0, 0, 0, 0, 2, 12, 30, 54, 82, 113, 137, 151, 154, 147, 134, 116, 99, 83, 70, 58, 48, 37, 26, 16, 8, 3, 0, 0, 5, 15, 27, 40, 53, 58, 54, 42, 29, 17, 7, 1, 0, 4, 12, 22, 32, 42, 47, 45, 36, 26, 15, 7, 3, 5, 10, 16, 20, 23, 21, 17, 11, 5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 12, 25, 41, 57, 72, 79, 77, 67, 54, 36, 22, 11, 4, 0, 0, 0, 0, 0, 1, 6, 13, 22, 32, 41, 47, 48, 44, 37, 29, 20, 12, 8, 5, 6, 9, 14, 19, 24, 30, 35, 39, 41, 42, 40, 37, 31, 26, 22, 20, 20, 21, 24, 27, 31, 32, 34, 35, 36, 38, 40, 42, 44, 43, 39, 33, 25, 17, 11, 7, 8, 13, 24, 38, 53, 66, 76, 78, 72, 59, 42, 26, 13, 4, 0, 0, 0, 1, 3, 8, 13, 18, 23, 28, 32, 37, 43, 50, 56, 61, 62, 59, 53, 44, 35, 28, 26, 29, 38, 51, 66, 79, 89, 91, 84, 68, 49, 31, 15, 4, 0, 1, 10, 28, 52, 81, 111, 134, 145, 141, 122, 95, 64, 38, 17, 5, 0, 4, 12, 25, 38, 51, 61, 61, 53, 39, 27, 14, 5, 0, 0, 0, 0, 0, 0, 1, 6, 15, 28, 43, 59, 75, 86, 92, 92, 87, 76, 63, 49, 36, 27, 22, 21, 24, 31, 40, 49, 58, 64, 66, 64, 59, 53, 45, 35, 25, 17, 10, 5, 1, 0, 0, 0, 0, 0, 0, 4, 14, 29, 47, 67, 82, 88, 83, 69, 50, 31, 16, 5, 0, 0, 0, 0, 0, 1, 2, 4, 5, 7, 9, 11, 13, 15, 15, 14, 11, 8, 4, 1, 0, 0, 0, 0, 0, 0, 2, 9, 19, 29, 40, 46, 46, 39, 29, 18, 11, 10, 14, 23, 33, 42, 49, 50, 46, 39, 31, 24, 21, 26, 36, 50, 63, 75, 78, 74, 60, 43, 27, 13, 4, 0, 0, 0, 0, 1, 5, 11, 17, 22, 25, 25, 24, 23, 24, 27, 31, 36, 39, 40, 37, 34, 30, 29, 31, 41, 55, 72, 88, 101, 104, 96, 79, 56, 35, 17, 5, 1, 9, 24, 44, 65, 86, 97, 95, 81, 59, 38, 20, 6, 0, 0, 5, 16, 28, 42, 57, 66, 67, 64, 58, 51, 44, 38, 32, 25, 18, 11, 6, 2, 0, 0, 0, 0, 1, 2, 4, 6, 8, 9, 11, 15, 24, 36, 54, 74, 96, 114, 124, 125, 116, 96, 69, 45, 24, 9, 1, 0, 0, 5, 16, 30, 48, 70, 89, 103, 113, 117, 116, 110, 99, 83, 64, 44, 27, 13, 4, 0, 0, 1, 5, 13, 22, 33, 43, 50, 51, 49, 43, 38, 33, 31, 32, 35, 39, 41, 41, 38, 32, 24, 20, 16, 19, 26, 37, 47, 56, 59, 54, 43, 31, 18, 7, 1, 0, 0, 0, 2, 10, 22, 37, 51, 62, 63, 56, 41, 27, 13, 4, 0, 0, 0, 1, 3, 6, 10, 13, 14, 15, 14, 12, 12, 15, 20, 28, 38, 47, 53, 56, 55, 49, 40, 28, 18, 9, 4, 0, 0, 0, 2, 9, 21, 37, 56, 74, 87, 93, 88, 76, 58, 39, 22, 10, 2, 0, 0, 0, 2, 3, 5, 7, 8, 7, 5, 3, 2, 4, 7, 12, 19, 23, 24, 22, 17, 11, 5, 1, 0, 0, 0, 0, 4, 13, 29, 48, 72, 95, 114, 124, 127, 122, 111, 95, 79, 62, 49, 39, 33, 31, 31, 34, 39, 45, 50, 54, 57, 59, 57, 52, 43, 33, 22, 12, 5, 1, 0, 0, 0, 3, 11, 22, 36, 50, 61, 62, 55, 42, 29, 15, 6, 1, 0, 0, 0, 4, 12, 22, 35, 48, 55, 54, 47, 34, 21, 11, 3, 0, 0, 0, 2, 10, 22, 38, 57, 74, 85, 88, 84, 71, 56, 40, 27, 19, 18, 26, 40, 60, 82, 101, 116, 123, 121, 108, 88, 62, 40, 21, 8, 0, 0, 0, 0, 1, 7, 17, 29, 42, 53, 57, 53, 41, 29, 17, 7, 1, 5, 18, 36, 60, 90, 118, 141, 155, 158, 151, 133, 108, 81, 55, 35, 23, 21, 27, 41, 56, 72, 85, 93, 94, 90, 81, 70, 58, 47, 38, 31, 27, 27, 29, 34, 41, 50, 57, 64, 68, 70, 68, 63, 56, 48, 36, 27, 18, 13, 11, 13, 16, 18, 18, 15, 11, 6, 2, 0, 0, 0, 0, 0, 0, 1, 6, 15, 26, 38, 48, 54, 53, 48, 40, 33, 28, 28, 33, 41, 50, 60, 66, 65, 57, 43, 29, 16, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 20, 40, 66, 98, 127, 148, 157, 151, 132, 102, 69, 40, 19, 4, 0, 0, 3, 12, 26, 43, 63, 81, 91, 93, 88, 78, 65, 52, 41, 31, 22, 15, 10, 5, 2, 0, 0, 3, 13, 30, 53, 84, 117, 146, 167, 176, 171, 153, 123, 86, 55, 29, 10, 0, 0, 3, 14, 30, 50, 72, 90, 99, 96, 86, 68, 50, 33, 21, 13, 13, 18, 27, 35, 41, 43, 41, 34, 24, 16, 8, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 5, 9, 14, 20, 24, 26, 26, 26, 28, 30, 35, 41, 50, 58, 66, 70, 70, 66, 59, 49, 40, 33, 29, 28, 33, 43, 57, 74, 91, 107, 119, 125, 124, 115, 99, 77, 52, 32, 17, 5, 0, 0, 0, 0, 0, 0, 2, 8, 16, 26, 39, 51, 58, 62, 62, 60, 55, 51, 46, 43, 40, 38, 36, 34, 33, 30, 29, 28, 28, 29, 31, 35, 38, 41, 44, 45, 45, 43, 39, 33, 27, 21, 16, 13, 10, 10, 10, 10, 13, 17, 22, 28, 33, 38, 40, 40, 37, 32, 26, 19, 14, 13, 14, 19, 27, 34, 39, 41, 39, 31, 22, 14, 6, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 6, 14, 25, 41, 58, 74, 87, 97, 101, 100, 95, 87, 77, 67, 58, 50, 45, 42, 41, 42, 46, 50, 55, 59, 63, 65, 66, 65, 63, 60, 55, 47, 39, 28, 18, 11, 7, 7, 14, 26, 42, 62, 85, 107, 129, 145, 157, 159, 154, 140, 119, 94, 65, 41, 22, 8, 1, 1, 9, 24, 46, 73, 104, 132, 155, 168, 171, 165, 150, 129, 103, 78, 55, 37, 24, 16, 14, 15, 19, 23, 27, 30, 31, 31, 28, 25, 20, 16, 12, 10, 8, 8, 8, 7, 6, 4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 11, 26, 47, 71, 96, 115, 123, 120, 106, 84, 58, 36, 18, 6, 0, 0, 0, 1, 5, 12, 20, 29, 39, 46, 50, 52, 52, 50, 47, 41, 35, 27, 18, 11, 6, 3, 3, 11, 24, 43, 66, 93, 118, 139, 152, 157, 149, 131, 103, 71, 44, 22, 7, 0, 0, 0, 0, 0, 7, 20, 37, 58, 83, 102, 113, 115, 108, 95, 75, 54, 34, 19, 8, 1, 0, 0, 4, 13, 26, 45, 68, 93, 117, 139, 158, 172, 182, 184, 181, 170, 153, 128, 97, 66, 40, 19, 5, 0, 0, 0, 0, 0, 0, 0, 3, 11, 21, 34, 49, 62, 70, 75, 75, 72, 67, 61, 54, 47, 40, 34, 27, 23, 19, 17, 16, 17, 18, 21, 23, 26, 29, 32, 36, 42, 48, 57, 65, 74, 81, 85, 83, 76, 64, 48, 32, 19, 8, 1, 0, 0, 0, 6, 18, 35, 58, 85, 109, 126, 132, 128, 114, 92, 64, 41, 22, 8, 1, 0, 3, 10, 20, 32, 46, 57, 63, 64, 58, 48, 34, 22, 12, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 11, 19, 28, 37, 47, 55, 61, 65, 65, 62, 58, 53, 48, 44, 41, 39, 38, 37, 34, 29, 23, 15, 9, 3, 1, 0, 0, 0, 5, 15, 29, 48, 71, 92, 109, 120, 122, 117, 105, 86, 63, 42, 25, 11, 3, 0, 1, 5, 13, 23, 34, 47, 56, 60, 57, 50, 39, 26, 15, 7, 2, 0, 0, 2, 9, 22, 39, 60, 82, 101, 115, 120, 118, 109, 93, 73, 52, 33, 18, 8, 3, 3, 9, 14, 20, 22, 22, 17, 12, 6, 2, 0, 0, 0, 4, 20, 43, 69, 93, 107, 103, 82, 58, 32, 11, 0, 0, 0, 4, 12, 18 ]
    }
  },
  "annotations" : [ {
    "name" : "R (A or G)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 7,
      "max" : 7,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "S (C or G)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 12,
      "max" : 12,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 17,
      "max" : 17,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "S (C or G)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1010,
      "max" : 1010,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (A or C)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1038,
      "max" : 1038,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1039,
      "max" : 1039,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "R (G or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1063,
      "max" : 1063,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "W (T or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1097,
      "max" : 1097,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (A or C)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1101,
      "max" : 1101,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1121,
      "max" : 1121,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "K (G or T)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1138,
      "max" : 1138,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (A or C)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1175,
      "max" : 1175,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "S (C or G)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1224,
      "max" : 1224,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1251,
      "max" : 1251,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1252,
      "max" : 1252,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "W (A or T)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1287,
      "max" : 1287,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "S (C or G)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1305,
      "max" : 1305,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "R (G or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1312,
      "max" : 1312,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "S (G or C)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1320,
      "max" : 1320,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (A or C)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1351,
      "max" : 1351,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1352,
      "max" : 1352,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1359,
      "max" : 1359,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "M (C or A)",
    "type" : "Possible heterozygous state",
    "intervals" : [ {
      "min" : 1395,
      "max" : 1395,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "FR4",
    "type" : "FR",
    "intervals" : [ {
      "min" : 521,
      "max" : 556,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "80.56%"
    } ]
  }, {
    "name" : "BLAST Hit",
    "type" : "BLAST Hit",
    "intervals" : [ {
      "min" : 512,
      "max" : 554,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "81.40%"
    } ]
  }, {
    "name" : "",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 503,
      "max" : 502,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "-T"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "T"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : ""
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Deletion"
    }, {
      "name" : "CDS Codon Number",
      "value" : "4"
    }, {
      "name" : "CDS Position",
      "value" : "10"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Protein Effect",
      "value" : "Frame Shift"
    }, {
      "name" : "Average Quality",
      "value" : "20"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "GGGG",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 506,
      "max" : 509,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "ACTA -> GGGG"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "ACTA"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "GGGG"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "5"
    }, {
      "name" : "CDS Position",
      "value" : "14"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CTA,CTA -> CTG,GGG"
    }, {
      "name" : "Amino Acid Change",
      "value" : "LL -> LG"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "42"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "GATT",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 511,
      "max" : 511,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    }, {
      "min" : 514,
      "max" : 514,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "ATG -> GATT"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "ATG"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "GATT"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Insertion"
    }, {
      "name" : "CDS Codon Number",
      "value" : "7"
    }, {
      "name" : "CDS Position",
      "value" : "19"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Protein Effect",
      "value" : "Frame Shift"
    }, {
      "name" : "Average Quality",
      "value" : "39"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "TA",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 518,
      "max" : 519,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "GT -> TA"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "GT"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "TA"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "9"
    }, {
      "name" : "CDS Position",
      "value" : "25"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CGT -> CTA"
    }, {
      "name" : "Amino Acid Change",
      "value" : "R -> L"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "39"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "CAG",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 527,
      "max" : 527,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    }, {
      "min" : 529,
      "max" : 529,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "AAA -> CAG"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "AAA"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "CAG"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "12"
    }, {
      "name" : "CDS Position",
      "value" : "34"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CAA,AGG -> CCA,GGG"
    }, {
      "name" : "Amino Acid Change",
      "value" : "QR -> PG"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "44"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "A",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 532,
      "max" : 532,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> A"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "13"
    }, {
      "name" : "CDS Position",
      "value" : "39"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "GAC -> AAC"
    }, {
      "name" : "Amino Acid Change",
      "value" : "D -> N"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "43"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "CT",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 536,
      "max" : 537,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "AC -> CT"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "AC"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "CT"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "15"
    }, {
      "name" : "CDS Position",
      "value" : "43"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CAC -> CCT"
    }, {
      "name" : "Amino Acid Change",
      "value" : "H -> P"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "41"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "CA",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 555,
      "max" : 556,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "GT -> CA"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "GT"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "CA"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "21"
    }, {
      "name" : "CDS Position",
      "value" : "62"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "AGG -> AGC"
    }, {
      "name" : "Amino Acid Change",
      "value" : "R -> S"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "40"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "V-gene",
    "type" : "gene",
    "intervals" : [ {
      "min" : 125,
      "max" : 480,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "gene_synonym",
      "value" : "IGHV439; VH"
    }, {
      "name" : "note",
      "value" : "immunoglobulin heavy variable 4-39"
    }, {
      "name" : "db_xref",
      "value" : "GeneID:28394; HGNC:HGNC:5651; IMGT/GENE-DB:IGHV4-39"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "gene"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "95.79%"
    } ]
  }, {
    "name" : "L-REGION",
    "type" : "sig_peptide",
    "intervals" : [ {
      "min" : 125,
      "max" : 181,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "100.00%"
    } ]
  }, {
    "name" : "CDR1",
    "type" : "CDR",
    "intervals" : [ {
      "min" : 257,
      "max" : 286,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "100.00%"
    } ]
  }, {
    "name" : "CDR2",
    "type" : "CDR",
    "intervals" : [ {
      "min" : 338,
      "max" : 358,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "85.71%"
    } ]
  }, {
    "name" : "FR3",
    "type" : "FR",
    "intervals" : [ {
      "min" : 359,
      "max" : 472,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "94.74%"
    } ]
  }, {
    "name" : "FR1",
    "type" : "FR",
    "intervals" : [ {
      "min" : 182,
      "max" : 256,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "98.67%"
    } ]
  }, {
    "name" : "FR2",
    "type" : "FR",
    "intervals" : [ {
      "min" : 287,
      "max" : 337,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "92.16%"
    } ]
  }, {
    "name" : "BLAST Hit",
    "type" : "BLAST Hit",
    "intervals" : [ {
      "min" : 125,
      "max" : 480,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "95.79%"
    } ]
  }, {
    "name" : "T",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 221,
      "max" : 221,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "C -> T"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "T"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "33"
    }, {
      "name" : "CDS Position",
      "value" : "97"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CCT -> TCT"
    }, {
      "name" : "Amino Acid Change",
      "value" : "P -> S"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "45"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "A",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 319,
      "max" : 319,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> A"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "65"
    }, {
      "name" : "CDS Position",
      "value" : "195"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "GGG -> GGA"
    }, {
      "name" : "Amino Acid Change",
      "value" : ""
    }, {
      "name" : "Protein Effect",
      "value" : "None"
    }, {
      "name" : "Average Quality",
      "value" : "40"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "CA",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 333,
      "max" : 334,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "GG -> CA"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "GG"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "CA"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "Substitution"
    }, {
      "name" : "CDS Codon Number",
      "value" : "70"
    }, {
      "name" : "CDS Position",
      "value" : "209"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "GGG -> GCA"
    }, {
      "name" : "Amino Acid Change",
      "value" : "G -> A"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "A",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 336,
      "max" : 336,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> A"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "71"
    }, {
      "name" : "CDS Position",
      "value" : "212"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "AGT -> AAT"
    }, {
      "name" : "Amino Acid Change",
      "value" : "S -> N"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "C",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 339,
      "max" : 339,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "T -> C"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "T"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "72"
    }, {
      "name" : "CDS Position",
      "value" : "215"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "ATC -> ACC"
    }, {
      "name" : "Amino Acid Change",
      "value" : "I -> T"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "A",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 352,
      "max" : 352,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> A"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "76"
    }, {
      "name" : "CDS Position",
      "value" : "228"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "GGG -> GGA"
    }, {
      "name" : "Amino Acid Change",
      "value" : ""
    }, {
      "name" : "Protein Effect",
      "value" : "None"
    }, {
      "name" : "Average Quality",
      "value" : "51"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "T",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 354,
      "max" : 354,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> T"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "T"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "77"
    }, {
      "name" : "CDS Position",
      "value" : "230"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "AGC -> ATC"
    }, {
      "name" : "Amino Acid Change",
      "value" : "S -> I"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "51"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "A",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 370,
      "max" : 370,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "G -> A"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "82"
    }, {
      "name" : "CDS Position",
      "value" : "246"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CCG -> CCA"
    }, {
      "name" : "Amino Acid Change",
      "value" : ""
    }, {
      "name" : "Protein Effect",
      "value" : "None"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "C",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 385,
      "max" : 385,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "A -> C"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "87"
    }, {
      "name" : "CDS Position",
      "value" : "261"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CGA -> CGC"
    }, {
      "name" : "Amino Acid Change",
      "value" : ""
    }, {
      "name" : "Protein Effect",
      "value" : "None"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "G",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 421,
      "max" : 421,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "C -> G"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "99"
    }, {
      "name" : "CDS Position",
      "value" : "297"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "TTC -> TTG"
    }, {
      "name" : "Amino Acid Change",
      "value" : "F -> L"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "G",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 431,
      "max" : 431,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "C -> G"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "103"
    }, {
      "name" : "CDS Position",
      "value" : "307"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "1"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "CTG -> GTG"
    }, {
      "name" : "Amino Acid Change",
      "value" : "L -> V"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "45"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "G",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 436,
      "max" : 436,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "C -> G"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "C"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "104"
    }, {
      "name" : "CDS Position",
      "value" : "312"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "AGC -> AGG"
    }, {
      "name" : "Amino Acid Change",
      "value" : "S -> R"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "56"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "T",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 468,
      "max" : 468,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "A -> T"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "T"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transversion)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "115"
    }, {
      "name" : "CDS Position",
      "value" : "344"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "2"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "TAC -> TTC"
    }, {
      "name" : "Amino Acid Change",
      "value" : "Y -> F"
    }, {
      "name" : "Protein Effect",
      "value" : "Substitution"
    }, {
      "name" : "Average Quality",
      "value" : "43"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "G",
    "type" : "Polymorphism",
    "intervals" : [ {
      "min" : 478,
      "max" : 478,
      "direction" : "Undirected",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "Change",
      "value" : "A -> G"
    }, {
      "name" : "Reference Nucleotide(s)",
      "value" : "A"
    }, {
      "name" : "Coverage",
      "value" : "1"
    }, {
      "name" : "Variant Nucleotide(s)",
      "value" : "G"
    }, {
      "name" : "Variant Frequency",
      "value" : "100.0%"
    }, {
      "name" : "Variant Raw Frequency",
      "value" : "1"
    }, {
      "name" : "Strand-Bias",
      "value" : "100.0%"
    }, {
      "name" : "Variant Sequences",
      "value" : "VH_11066_3_A1.scf"
    }, {
      "name" : "Strand-Bias >50% P-value",
      "value" : "1.0"
    }, {
      "name" : "Strand-Bias >65% P-value",
      "value" : "1.0"
    }, {
      "name" : "Polymorphism Type",
      "value" : "SNP (transition)"
    }, {
      "name" : "CDS Codon Number",
      "value" : "118"
    }, {
      "name" : "CDS Position",
      "value" : "354"
    }, {
      "name" : "CDS Position Within Codon",
      "value" : "3"
    }, {
      "name" : "gene",
      "value" : "IGHV4-39"
    }, {
      "name" : "note",
      "value" : "4-39"
    }, {
      "name" : "CDS",
      "value" : "V-Region"
    }, {
      "name" : "Codon Change",
      "value" : "AGA -> AGG"
    }, {
      "name" : "Amino Acid Change",
      "value" : ""
    }, {
      "name" : "Protein Effect",
      "value" : "None"
    }, {
      "name" : "Average Quality",
      "value" : "51"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHV4-39 gene - IGHV4-39 CDS"
    }, {
      "name" : "Transferred Similarity",
      "value" : "0.00%"
    } ]
  }, {
    "name" : "CDR3",
    "type" : "CDR",
    "intervals" : [ {
      "min" : 473,
      "max" : 520,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : true
    } ],
    "qualifiers" : [ ]
  }, {
    "name" : "V-Region",
    "type" : "CDS",
    "intervals" : [ {
      "min" : 125,
      "max" : 556,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : true
    } ],
    "qualifiers" : [ {
      "name" : "exception",
      "value" : "rearrangement required for product"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "CDS"
    } ]
  }, {
    "name" : "Reversed CDS Annotation",
    "type" : "cds",
    "intervals" : [ {
      "min" : 60,
      "max" : 88,
      "direction" : "Left",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "exception",
      "value" : "rearrangement required for product"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "CDS"
    }, {
      "name" : "codon_start",
      "value" : "2"
    } ]
  }, {
    "name" : "ORF Annotation",
    "type" : "ORF",
    "intervals" : [ {
      "min" : 40,
      "max" : 64,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "exception",
      "value" : "rearrangement required for product"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "CDS"
    }, {
      "name" : "codon_start",
      "value" : "3"
    } ]
  }, {
    "name" : "ORF Annotation",
    "type" : "orf",
    "intervals" : [ {
      "min" : 80,
      "max" : 91,
      "direction" : "Right",
      "truncatedMin" : false,
      "truncatedMax" : false
    } ],
    "qualifiers" : [ {
      "name" : "exception",
      "value" : "rearrangement required for product"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "CDS"
    }, {
      "name" : "codon_start",
      "value" : "1"
    } ]
  }, {
    "name" : "J-gene",
    "type" : "gene",
    "intervals" : [ {
      "min" : 503,
      "max" : 556,
      "direction" : "Right",
      "truncatedMin" : true,
      "truncatedMax" : true
    } ],
    "qualifiers" : [ {
      "name" : "gene",
      "value" : "IGHJ6"
    }, {
      "name" : "gene_synonym",
      "value" : "JH6b"
    }, {
      "name" : "note",
      "value" : "immunoglobulin heavy joining 6"
    }, {
      "name" : "db_xref",
      "value" : "GeneID:28475; HGNC:HGNC:5540; IMGT/GENE-DB:IGHJ6"
    }, {
      "name" : "NCBI Feature Key",
      "value" : "gene"
    }, {
      "name" : "Transferred From",
      "value" : "NG_001019 - IGHJ6 gene - IGHJ6 CDS extraction"
    }, {
      "name" : "Transferred Similarity",
      "value" : "70.91%"
    } ]
  } ]
} ]