+-----+------+-----+-------------+------------+------------+-----------+ | # | N | m | N log(N)... | log(N!)... | (verif.) | delta (%) | +=====+======+=====+=============+============+============+===========+ | 1 | 828 | 2 | 573.634 | 570.048 | 570.048 | 0.628937 | +-----+------+-----+-------------+------------+------------+-----------+ | 2 | 4193 | 31 | 14378.1 | 14278.7 | 14278.7 | 0.696137 | +-----+------+-----+-------------+------------+------------+-----------+ | 3 | 331 | 15 | 888.741 | 855.711 | 855.711 | 3.85998 | +-----+------+-----+-------------+------------+------------+-----------+ | 4 | 596 | 5 | 956.649 | 944.224 | 944.224 | 1.31589 | +-----+------+-----+-------------+------------+------------+-----------+ | 5 | 26 | 6 | 46.1827 | 38.7514 | 38.7514 | 19.1771 | +-----+------+-----+-------------+------------+------------+-----------+ | 6 | 497 | 306 | 2787.98 | 2434.4 | 2434.4 | 14.5242 | +-----+------+-----+-------------+------------+------------+-----------+ | 7 | 4498 | 8 | 9350.46 | 9322.9 | 9322.9 | 0.295544 | +-----+------+-----+-------------+------------+------------+-----------+ | 8 | 1946 | 4 | 2695.82 | 2684.48 | 2684.48 | 0.422548 | +-----+------+-----+-------------+------------+------------+-----------+ | 9 | 66 | 11 | 157.247 | 140.228 | 140.228 | 12.1364 | +-----+------+-----+-------------+------------+------------+-----------+ | 10 | 1021 | 151 | 5058.48 | 4782.98 | 4782.98 | 5.76003 | +-----+------+-----+-------------+------------+------------+-----------+ | 11 | 946 | 195 | 4899.78 | 4577.4 | 4577.4 | 7.04282 | +-----+------+-----+-------------+------------+------------+-----------+ | 12 | 497 | 12 | 1231.95 | 1202.62 | 1202.62 | 2.43906 | +-----+------+-----+-------------+------------+------------+-----------+ | 13 | 3421 | 53 | 13557.5 | 13403.5 | 13403.5 | 1.14916 | +-----+------+-----+-------------+------------+------------+-----------+ | 14 | 18 | 7 | 31.0488 | 24.1532 | 24.1532 | 28.5494 | +-----+------+-----+-------------+------------+------------+-----------+ | 15 | 28 | 17 | 77.006 | 59.4542 | 59.4542 | 29.5215 | +-----+------+-----+-------------+------------+------------+-----------+ | 16 | 88 | 4 | 121.859 | 115.148 | 115.148 | 5.82856 | +-----+------+-----+-------------+------------+------------+-----------+ | 17 | 1018 | 60 | 4130.25 | 3995.4 | 3995.4 | 3.37516 | +-----+------+-----+-------------+------------+------------+-----------+ | 18 | 445 | 4 | 614.154 | 605.032 | 605.032 | 1.50758 | +-----+------+-----+-------------+------------+------------+-----------+ | 19 | 31 | 24 | 96.7495 | 73.2402 | 73.2402 | 32.099 | +-----+------+-----+-------------+------------+------------+-----------+ | 20 | 61 | 25 | 186.828 | 156.641 | 156.641 | 19.2716 | +-----+------+-----+-------------+------------+------------+-----------+ | 21 | 12 | 8 | 23.7505 | 16.8092 | 16.8092 | 41.2947 | +-----+------+-----+-------------+------------+------------+-----------+ | 22 | 2057 | 33 | 7176.91 | 7083.2 | 7083.2 | 1.32287 | +-----+------+-----+-------------+------------+------------+-----------+ | 23 | 561 | 14 | 1472.01 | 1437.47 | 1437.47 | 2.40292 | +-----+------+-----+-------------+------------+------------+-----------+ | 24 | 179 | 42 | 650.241 | 586.215 | 586.215 | 10.9219 | +-----+------+-----+-------------+------------+------------+-----------+ | 25 | 147 | 99 | 660.956 | 551.989 | 551.989 | 19.7407 | +-----+------+-----+-------------+------------+------------+-----------+ | 26 | 124 | 82 | 533.849 | 443.485 | 443.485 | 20.376 | +-----+------+-----+-------------+------------+------------+-----------+ | 27 | 49 | 33 | 167.472 | 132.664 | 132.664 | 26.2373 | +-----+------+-----+-------------+------------+------------+-----------+ | 28 | 26 | 16 | 69.8011 | 53.5193 | 53.5193 | 30.4222 | +-----+------+-----+-------------+------------+------------+-----------+ | 29 | 18 | 11 | 41.2761 | 30.7325 | 30.7325 | 34.3078 | +-----+------+-----+-------------+------------+------------+-----------+ | 30 | 448 | 106 | 2053.72 | 1886.06 | 1886.06 | 8.88916 | +-----+------+-----+-------------+------------+------------+-----------+ | 31 | 41 | 18 | 112.55 | 91.8524 | 91.8524 | 22.5336 | +-----+------+-----+-------------+------------+------------+-----------+ | 32 | 18 | 12 | 41.7994 | 30.7325 | 30.7325 | 36.0104 | +-----+------+-----+-------------+------------+------------+-----------+ | 33 | 200 | 11 | 478.014 | 455.515 | 455.515 | 4.93927 | +-----+------+-----+-------------+------------+------------+-----------+ | 34 | 2950 | 45 | 11209.9 | 11079.4 | 11079.4 | 1.17749 | +-----+------+-----+-------------+------------+------------+-----------+ | 35 | 148 | 9 | 322.891 | 305.457 | 305.457 | 5.70756 | +-----+------+-----+-------------+------------+------------+-----------+ | 36 | 58 | 11 | 135.205 | 119.099 | 119.099 | 13.5237 | +-----+------+-----+-------------+------------+------------+-----------+ | 37 | 124 | 78 | 528.373 | 440.818 | 440.818 | 19.8621 | +-----+------+-----+-------------+------------+------------+-----------+ | 38 | 345 | 4 | 477.588 | 468.839 | 468.839 | 1.86614 | +-----+------+-----+-------------+------------+------------+-----------+ | 39 | 11 | 6 | 18.9221 | 13.6311 | 13.6311 | 38.8158 | +-----+------+-----+-------------+------------+------------+-----------+ | 40 | 23 | 6 | 40.842 | 33.7015 | 33.7015 | 21.1874 | +-----+------+-----+-------------+------------+------------+-----------+ | 41 | 20 | 6 | 34.456 | 27.7908 | 27.7908 | 23.9834 | +-----+------+-----+-------------+------------+------------+-----------+ | 42 | 515 | 2 | 356.752 | 353.404 | 353.404 | 0.947339 | +-----+------+-----+-------------+------------+------------+-----------+ | 43 | 145 | 61 | 577.006 | 499.297 | 499.297 | 15.5637 | +-----+------+-----+-------------+------------+------------+-----------+ | 44 | 1910 | 474 | 11532.5 | 10791.1 | 10791.1 | 6.87063 | +-----+------+-----+-------------+------------+------------+-----------+ | 45 | 3164 | 113 | 14900.4 | 14613.9 | 14613.9 | 1.9602 | +-----+------+-----+-------------+------------+------------+-----------+ | 46 | 507 | 226 | 2683.28 | 2392.81 | 2392.81 | 12.1396 | +-----+------+-----+-------------+------------+------------+-----------+ | 47 | 14 | 8 | 28.1058 | 20.6269 | 20.6269 | 36.2581 | +-----+------+-----+-------------+------------+------------+-----------+ | 48 | 135 | 2 | 93.1262 | 90.4493 | 90.4493 | 2.95963 | +-----+------+-----+-------------+------------+------------+-----------+ | 49 | 7558 | 137 | 37101.5 | 36706.8 | 36706.8 | 1.07516 | +-----+------+-----+-------------+------------+------------+-----------+ | 50 | 510 | 7 | 990.922 | 973.518 | 973.518 | 1.78774 | +-----+------+-----+-------------+------------+------------+-----------+ | 51 | 2145 | 29 | 7200.88 | 7116.7 | 7116.7 | 1.18288 | +-----+------+-----+-------------+------------+------------+-----------+ | 52 | 307 | 195 | 1586.09 | 1363.95 | 1363.95 | 16.2861 | +-----+------+-----+-------------+------------+------------+-----------+ | 53 | 357 | 57 | 1408.14 | 1309.69 | 1309.69 | 7.51657 | +-----+------+-----+-------------+------------+------------+-----------+ | 54 | 788 | 74 | 3354.76 | 3204.77 | 3204.77 | 4.68043 | +-----+------+-----+-------------+------------+------------+-----------+ | 55 | 11 | 6 | 18.0591 | 12.938 | 12.938 | 39.5821 | +-----+------+-----+-------------+------------+------------+-----------+ | 56 | 100 | 64 | 404.106 | 333.645 | 333.645 | 21.1184 | +-----+------+-----+-------------+------------+------------+-----------+ | 57 | 627 | 17 | 1769.6 | 1727.51 | 1727.51 | 2.43674 | +-----+------+-----+-------------+------------+------------+-----------+ | 58 | 3835 | 237 | 20860.2 | 20319.8 | 20319.8 | 2.65931 | +-----+------+-----+-------------+------------+------------+-----------+ | 59 | 187 | 128 | 889.807 | 748.703 | 748.703 | 18.8464 | +-----+------+-----+-------------+------------+------------+-----------+ | 60 | 84 | 24 | 258.532 | 225.122 | 225.122 | 14.8408 | +-----+------+-----+-------------+------------+------------+-----------+ | 61 | 454 | 19 | 1323.04 | 1279.63 | 1279.63 | 3.39256 | +-----+------+-----+-------------+------------+------------+-----------+ | 62 | 314 | 71 | 1308.01 | 1196.12 | 1196.12 | 9.35475 | +-----+------+-----+-------------+------------+------------+-----------+ | 63 | 2726 | 29 | 9168.18 | 9080.56 | 9080.56 | 0.964898 | +-----+------+-----+-------------+------------+------------+-----------+ | 64 | 7858 | 117 | 37371.2 | 37023.1 | 37023.1 | 0.939958 | +-----+------+-----+-------------+------------+------------+-----------+ | 65 | 266 | 9 | 581.218 | 561.449 | 561.449 | 3.521 | +-----+------+-----+-------------+------------+------------+-----------+ | 66 | 85 | 50 | 322.67 | 266.471 | 266.471 | 21.09 | +-----+------+-----+-------------+------------+------------+-----------+ | 67 | 3227 | 57 | 13023.6 | 12861.3 | 12861.3 | 1.2622 | +-----+------+-----+-------------+------------+------------+-----------+ | 68 | 1974 | 147 | 9784.27 | 9464.6 | 9464.6 | 3.37761 | +-----+------+-----+-------------+------------+------------+-----------+ | 69 | 406 | 18 | 1160.95 | 1120.49 | 1120.49 | 3.61086 | +-----+------+-----+-------------+------------+------------+-----------+ | 70 | 66 | 11 | 152.294 | 135.702 | 135.702 | 12.2268 | +-----+------+-----+-------------+------------+------------+-----------+ | 71 | 740 | 18 | 2134.15 | 2088.41 | 2088.41 | 2.19044 | +-----+------+-----+-------------+------------+------------+-----------+ | 72 | 40 | 27 | 127.624 | 99.8056 | 99.8056 | 27.8723 | +-----+------+-----+-------------+------------+------------+-----------+ | 73 | 6078 | 6 | 10883.8 | 10862.8 | 10862.8 | 0.193299 | +-----+------+-----+-------------+------------+------------+-----------+ | 74 | 5961 | 452 | 36221 | 35233.8 | 35233.8 | 2.80182 | +-----+------+-----+-------------+------------+------------+-----------+ | 75 | 63 | 39 | 222.812 | 180.449 | 180.449 | 23.476 | +-----+------+-----+-------------+------------+------------+-----------+ | 76 | 483 | 4 | 669.031 | 659.777 | 659.777 | 1.40268 | +-----+------+-----+-------------+------------+------------+-----------+ | 77 | 8111 | 40 | 29902.2 | 29764.6 | 29764.6 | 0.462128 | +-----+------+-----+-------------+------------+------------+-----------+ | 78 | 782 | 440 | 4665.45 | 4139.75 | 4139.75 | 12.6987 | +-----+------+-----+-------------+------------+------------+-----------+ | 79 | 70 | 10 | 152.109 | 136.79 | 136.79 | 11.199 | +-----+------+-----+-------------+------------+------------+-----------+ | 80 | 8672 | 148 | 43268.1 | 42836.7 | 42836.7 | 1.0071 | +-----+------+-----+-------------+------------+------------+-----------+ | 81 | 6624 | 674 | 42795.1 | 41423.4 | 41423.4 | 3.3114 | +-----+------+-----+-------------+------------+------------+-----------+ | 82 | 92 | 3 | 100.359 | 95.651 | 95.651 | 4.92172 | +-----+------+-----+-------------+------------+------------+-----------+ | 83 | 290 | 9 | 630.094 | 610.039 | 610.039 | 3.28758 | +-----+------+-----+-------------+------------+------------+-----------+ | 84 | 3764 | 4 | 5217.54 | 5205.2 | 5205.2 | 0.236958 | +-----+------+-----+-------------+------------+------------+-----------+ | 85 | 14 | 11 | 32.7879 | 23.1118 | 23.1118 | 41.8667 | +-----+------+-----+-------------+------------+------------+-----------+ | 86 | 104 | 2 | 72.0104 | 69.4607 | 69.4607 | 3.67064 | +-----+------+-----+-------------+------------+------------+-----------+ | 87 | 102 | 3 | 109.905 | 105.114 | 105.114 | 4.55792 | +-----+------+-----+-------------+------------+------------+-----------+ | 88 | 1021 | 558 | 6324.71 | 5651.65 | 5651.65 | 11.909 | +-----+------+-----+-------------+------------+------------+-----------+ | 89 | 126 | 27 | 402.221 | 360.945 | 360.945 | 11.4354 | +-----+------+-----+-------------+------------+------------+-----------+ | 90 | 90 | 58 | 356.619 | 292.846 | 292.846 | 21.7769 | +-----+------+-----+-------------+------------+------------+-----------+ | 91 | 155 | 102 | 698.003 | 585.392 | 585.392 | 19.2369 | +-----+------+-----+-------------+------------+------------+-----------+ | 92 | 269 | 2 | 186.232 | 183.208 | 183.208 | 1.65017 | +-----+------+-----+-------------+------------+------------+-----------+ | 93 | 8813 | 79 | 38479.7 | 38226.4 | 38226.4 | 0.66261 | +-----+------+-----+-------------+------------+------------+-----------+ | 94 | 55 | 27 | 174.472 | 143.308 | 143.308 | 21.7459 | +-----+------+-----+-------------+------------+------------+-----------+ | 95 | 35 | 16 | 92.1163 | 74.231 | 74.231 | 24.0941 | +-----+------+-----+-------------+------------+------------+-----------+ | 96 | 561 | 14 | 1474.1 | 1439.54 | 1439.54 | 2.40121 | +-----+------+-----+-------------+------------+------------+-----------+ | 97 | 33 | 2 | 22.8587 | 20.8775 | 20.8775 | 9.48948 | +-----+------+-----+-------------+------------+------------+-----------+ | 98 | 635 | 3 | 697.171 | 690.527 | 690.527 | 0.962101 | +-----+------+-----+-------------+------------+------------+-----------+ | 99 | 531 | 312 | 2984.82 | 2619.12 | 2619.12 | 13.9626 | +-----+------+-----+-------------+------------+------------+-----------+ | 100 | 59 | 4 | 81.4122 | 75.3036 | 75.3036 | 8.11198 | +-----+------+-----+-------------+------------+------------+-----------+