2018年6月24日日曜日

180624

Ruby


(1 - b*x)^(-1/A003557(b))

b が1728以下で、A003557(b) > 1 となる場合について
出力してみた。

require 'prime'

def f(n)
  return 1 if n < 2
  (1..n).inject(:*)
end

def A003557(n)
  s = 1
  n.prime_division.each{|i| s *= i[0] ** (i[1] - 1)}
  s
end

def A(a, k, n)
  [1] + (1..n).map{|i| (k / a) ** i * (0..i - 1).inject(1){|s, j| s * (a * j + 1)} / f(i)}
end

n = 6
(1..1728).each{|i|
  a = A003557(i)
  p [i, a, A(a, i, n)] if a > 1
}

出力結果
[4, 2, [1, 2, 6, 20, 70, 252, 924]]
[8, 4, [1, 2, 10, 60, 390, 2652, 18564]]
[9, 3, [1, 3, 18, 126, 945, 7371, 58968]]
[12, 2, [1, 6, 54, 540, 5670, 61236, 673596]]
[16, 8, [1, 2, 18, 204, 2550, 33660, 460020]]
[18, 3, [1, 6, 72, 1008, 15120, 235872, 3773952]]
[20, 2, [1, 10, 150, 2500, 43750, 787500, 14437500]]
[24, 4, [1, 6, 90, 1620, 31590, 644436, 13533156]]
[25, 5, [1, 5, 75, 1375, 27500, 577500, 12512500]]
[27, 9, [1, 3, 45, 855, 17955, 398601, 9167823]]
[28, 2, [1, 14, 294, 6860, 168070, 4235364, 108707676]]
[32, 16, [1, 2, 34, 748, 18326, 476476, 12864852]]
[36, 6, [1, 6, 126, 3276, 93366, 2800980, 86830380]]
[40, 4, [1, 10, 250, 7500, 243750, 8287500, 290062500]]
[44, 2, [1, 22, 726, 26620, 1024870, 40584852, 1636922364]]
[45, 3, [1, 15, 450, 15750, 590625, 23034375, 921375000]]
[48, 8, [1, 6, 162, 5508, 206550, 8179380, 335354580]]
[49, 7, [1, 7, 196, 6860, 264110, 10722866, 450360372]]
[50, 5, [1, 10, 300, 11000, 440000, 18480000, 800800000]]
[52, 2, [1, 26, 1014, 43940, 1999270, 93565836, 4459971516]]
[54, 9, [1, 6, 180, 6840, 287280, 12755232, 586740672]]
[56, 4, [1, 14, 490, 20580, 936390, 44572164, 2184036036]]
[60, 2, [1, 30, 1350, 67500, 3543750, 191362500, 10524937500]]
[63, 3, [1, 21, 882, 43218, 2268945, 123884397, 6937526232]]
[64, 32, [1, 2, 66, 2860, 138710, 7157436, 384115732]]
[68, 2, [1, 34, 1734, 98260, 5846470, 357803964, 22303113756]]
[72, 12, [1, 6, 234, 11700, 649350, 38181780, 2329088580]]
[75, 5, [1, 15, 675, 37125, 2227500, 140332500, 9121612500]]
[76, 2, [1, 38, 2166, 137180, 9122470, 623976948, 43470394044]]
[80, 8, [1, 10, 450, 25500, 1593750, 105187500, 7187812500]]
[81, 27, [1, 3, 126, 6930, 426195, 27873153, 1895374404]]
[84, 2, [1, 42, 2646, 185220, 13613670, 1029193452, 79247895804]]
[88, 4, [1, 22, 1210, 79860, 5709990, 427107252, 32887258404]]
[90, 3, [1, 30, 1800, 126000, 9450000, 737100000, 58968000000]]
[92, 2, [1, 46, 3174, 243340, 19588870, 1621958436, 136785161436]]
[96, 16, [1, 6, 306, 20196, 1484406, 115783668, 9378477108]]
[98, 7, [1, 14, 784, 54880, 4225760, 343131712, 28823063808]]
[99, 3, [1, 33, 2178, 167706, 13835745, 1187106921, 104465409048]]
[100, 10, [1, 10, 550, 38500, 2983750, 244667500, 20796737500]]
[104, 4, [1, 26, 1690, 131820, 11138790, 984669036, 89604882276]]
[108, 18, [1, 6, 342, 25308, 2087910, 182900916, 16643983356]]
[112, 8, [1, 14, 882, 69972, 6122550, 565723620, 54120892980]]
[116, 2, [1, 58, 5046, 487780, 49509670, 5168809548, 549616748604]]
[117, 3, [1, 39, 3042, 276822, 26990145, 2736800703, 284627273112]]
[120, 4, [1, 30, 2250, 202500, 19743750, 2013862500, 211455562500]]
[121, 11, [1, 11, 726, 61226, 5724631, 566738469, 58185149484]]
[124, 2, [1, 62, 5766, 595820, 64646470, 7214546052, 820053401244]]
[125, 25, [1, 5, 325, 27625, 2624375, 265061875, 27831496875]]
[126, 3, [1, 42, 3528, 345744, 36303120, 3964300704, 444001678848]]
[128, 64, [1, 2, 130, 11180, 1078870, 110907836, 11867138452]]
[132, 2, [1, 66, 6534, 718740, 83014470, 9862119036, 1193316403356]]
[135, 9, [1, 15, 1125, 106875, 11221875, 1245628125, 143247234375]]
[136, 4, [1, 34, 2890, 294780, 32573190, 3765460764, 448089830916]]
[140, 2, [1, 70, 7350, 857500, 105043750, 13235512500, 1698557437500]]
[144, 24, [1, 6, 450, 44100, 4828950, 562089780, 68012863380]]
[147, 7, [1, 21, 1764, 185220, 21392910, 2605656438, 328312711188]]
[148, 2, [1, 74, 8214, 1013060, 131191270, 17474677164, 2370731201916]]
[150, 5, [1, 30, 2700, 297000, 35640000, 4490640000, 583783200000]]
[152, 4, [1, 38, 3610, 411540, 50825190, 6566614548, 873359734884]]
[153, 3, [1, 51, 5202, 619038, 78927345, 10465765947, 1423344168792]]
[156, 2, [1, 78, 9126, 1186380, 161940870, 22736498148, 3251319235164]]
[160, 16, [1, 10, 850, 93500, 11453750, 1488987500, 201013312500]]
[162, 27, [1, 6, 504, 55440, 6819120, 891940896, 121303961856]]
[164, 2, [1, 82, 10086, 1378420, 197803270, 29195762652, 4389096318684]]
[168, 4, [1, 42, 4410, 555660, 75847590, 10831035852, 1592162270244]]
[169, 13, [1, 13, 1183, 138411, 17993430, 2479494654, 354567735522]]
[171, 3, [1, 57, 6498, 864234, 123153345, 18251325729, 2774201510808]]
[172, 2, [1, 86, 11094, 1590140, 239316070, 37046127636, 5840939457276]]
[175, 5, [1, 35, 3675, 471625, 66027500, 9706042500, 1472083112500]]
[176, 8, [1, 22, 2178, 271524, 37334550, 5420976660, 814953491220]]
[180, 6, [1, 30, 3150, 409500, 58353750, 8753062500, 1356724687500]]
[184, 4, [1, 46, 5290, 730020, 109137990, 17069181636, 2748138243396]]
[188, 2, [1, 94, 13254, 2076460, 341577670, 57794941764, 9959994963996]]
[189, 9, [1, 21, 2205, 293265, 43109955, 6699287007, 1078585208127]]
[192, 32, [1, 6, 594, 77220, 11235510, 1739256948, 280020368628]]
[196, 14, [1, 14, 1470, 198940, 29940470, 4778499012, 791638002988]]
[198, 3, [1, 66, 8712, 1341648, 221371920, 37987421472, 6685786179072]]
[200, 20, [1, 10, 1050, 143500, 21883750, 3545167500, 596769862500]]
[204, 2, [1, 102, 15606, 2653020, 473564070, 86946363252, 16258969928124]]
[207, 3, [1, 69, 9522, 1533042, 264449745, 47442284253, 8729380302552]]
[208, 8, [1, 26, 3042, 448188, 72830550, 12497722380, 2220428676180]]
[212, 2, [1, 106, 16854, 2977540, 552333670, 105385264236, 20479869683196]]
[216, 36, [1, 6, 666, 97236, 15898086, 2766266964, 500694320484]]
[220, 2, [1, 110, 18150, 3327500, 640543750, 126827662500, 25576911937500]]
[224, 16, [1, 14, 1666, 256564, 44000726, 8008132132, 1513536972948]]
[225, 15, [1, 15, 1800, 279000, 48127500, 8807332500, 1673393175000]]
[228, 2, [1, 114, 19494, 3703860, 738920070, 151626398364, 31689917258076]]
[232, 4, [1, 58, 8410, 1463340, 275839590, 54395567148, 11042300131044]]
[234, 3, [1, 78, 12168, 2214576, 431842320, 87577622496, 18216145479168]]
[236, 2, [1, 118, 20886, 4107580, 848215270, 180160923348, 38974813084284]]
[240, 8, [1, 30, 4050, 688500, 129093750, 25560562500, 5239915312500]]
[242, 11, [1, 22, 2904, 489808, 91594096, 18135631008, 3723849566976]]
[243, 81, [1, 3, 369, 60147, 11006901, 2146345695, 435708176085]]
[244, 2, [1, 122, 22326, 4539620, 969208870, 212838267852, 47604825909564]]
[245, 7, [1, 35, 4900, 857500, 165068750, 33508956250, 7036880812500]]
[248, 4, [1, 62, 9610, 1787460, 360173190, 75924508452, 16475618334084]]
[250, 25, [1, 10, 1300, 221000, 41990000, 8481980000, 1781215800000]]
[252, 6, [1, 42, 6174, 1123668, 224171766, 47076070860, 10215507376620]]
[256, 128, [1, 2, 258, 44204, 8509270, 1746102204, 373083837588]]
[260, 2, [1, 130, 25350, 5492500, 1249543750, 292393237500, 69687054937500]]
[261, 3, [1, 87, 15138, 3073014, 668380545, 151187679279, 35075541592728]]
[264, 4, [1, 66, 10890, 2156220, 462509190, 103787062236, 23974811376516]]
[268, 2, [1, 134, 26934, 6015260, 1410578470, 340231526964, 83583545124156]]
[270, 9, [1, 30, 4500, 855000, 179550000, 39860100000, 9167823000000]]
[272, 8, [1, 34, 5202, 1002252, 212978550, 47792386620, 11103764491380]]
[275, 5, [1, 55, 9075, 1830125, 402627500, 93006952500, 22166657012500]]
[276, 2, [1, 138, 28566, 6570180, 1586698470, 394135899948, 99716382686844]]
[279, 3, [1, 93, 17298, 3753666, 872727345, 211025472021, 52334317061208]]
[280, 4, [1, 70, 12250, 2572500, 585243750, 139288012500, 34125563062500]]
[284, 2, [1, 142, 30246, 7158220, 1778817670, 454665796452, 118364662343004]]
[288, 48, [1, 6, 882, 171108, 37215990, 8619223284, 2077232811444]]
[289, 17, [1, 17, 2601, 515865, 114006165, 26745846309, 6517071217293]]
[292, 2, [1, 146, 31974, 7780340, 1987876870, 522414041436, 139832825091036]]
[294, 7, [1, 42, 7056, 1481760, 342286560, 83381006016, 21012013516032]]
[296, 4, [1, 74, 13690, 3039180, 730922790, 183900173964, 47630145056676]]
[297, 9, [1, 33, 5445, 1138005, 262879155, 64195089651, 16241357681703]]
[300, 10, [1, 30, 4950, 1039500, 241683750, 59454202500, 15160821637500]]
[304, 8, [1, 38, 6498, 1399236, 332318550, 83345492340, 21642046177620]]
[306, 3, [1, 102, 20808, 4952304, 1262837520, 334904510304, 91094026802688]]
[308, 2, [1, 154, 35574, 9130660, 2460712870, 682109607564, 192582279202236]]
[312, 4, [1, 78, 15210, 3559140, 902241990, 239274575748, 65321959179204]]
[315, 3, [1, 105, 22050, 5402250, 1418090625, 387138740625, 108398847375000]]
[316, 2, [1, 158, 37446, 9860780, 2726505670, 775418212548, 224612808901404]]
[320, 32, [1, 10, 1650, 357500, 86693750, 22366987500, 6001808312500]]
[324, 54, [1, 6, 990, 215820, 52767990, 13740784596, 3723752625516]]
[325, 5, [1, 65, 12675, 3020875, 785427500, 214421707500, 60395447612500]]
[328, 4, [1, 82, 16810, 4135260, 1102046790, 307250645052, 88180935129924]]
[332, 2, [1, 166, 41334, 11435740, 3322082470, 992638242036, 302092904992956]]
[333, 3, [1, 111, 24642, 6382278, 1771082145, 511134307047, 151295754885912]]
[336, 8, [1, 42, 7938, 1889244, 495926550, 137470839660, 39454130982420]]
[338, 13, [1, 26, 4732, 1107288, 287894880, 79343828928, 22692335073408]]
[340, 2, [1, 170, 43350, 12282500, 3654043750, 1118137387500, 348486152437500]]
[342, 3, [1, 114, 25992, 6913872, 1970453520, 584042423328, 177548896691712]]
[343, 49, [1, 7, 1225, 282975, 73290525, 20213526795, 5801282190165]]
[344, 4, [1, 86, 18490, 4770420, 1333332390, 389866390836, 117349783641636]]
[348, 2, [1, 174, 45414, 13170060, 4010283270, 1256020720164, 400670609732316]]
[350, 5, [1, 70, 14700, 3773000, 1056440000, 310593360000, 94213319200000]]
[351, 9, [1, 39, 7605, 1878435, 512812755, 147997761093, 44251330566807]]
[352, 16, [1, 22, 4114, 995588, 268310966, 76736936276, 22790870073972]]
[356, 2, [1, 178, 47526, 14099380, 4391956870, 1407182981148, 459210712847964]]
[360, 12, [1, 30, 5850, 1462500, 405843750, 119318062500, 36392009062500]]
[361, 19, [1, 19, 3610, 891670, 245655085, 71878677871, 21851118072784]]
[363, 11, [1, 33, 6534, 1653102, 463695111, 137717447967, 42416973973836]]
[364, 2, [1, 182, 49686, 15071420, 4800247270, 1572561005652, 524711188885884]]
[368, 8, [1, 46, 9522, 2482068, 713594550, 216647305380, 68099469657780]]
[369, 3, [1, 123, 30258, 8684046, 2670344145, 853976057571, 280104146883288]]
[372, 2, [1, 186, 51894, 16087140, 5236364070, 1753134690636, 597818929506876]]
[375, 25, [1, 15, 2925, 745875, 212574375, 64410035625, 20289161221875]]
[376, 4, [1, 94, 22090, 6229380, 1903075590, 608222958564, 200105353367556]]
[378, 9, [1, 42, 8820, 2346120, 689759280, 214377184224, 69029453320128]]
[380, 2, [1, 190, 54150, 17147500, 5701543750, 1949927962500, 679224906937500]]
[384, 64, [1, 6, 1170, 301860, 87388470, 26950604148, 8651143931508]]
[387, 3, [1, 129, 33282, 10017882, 3230766945, 1083599233353, 372758136273432]]
[388, 2, [1, 194, 56454, 18253460, 6197049670, 2164009744764, 769666132554396]]
[392, 28, [1, 14, 2842, 755972, 224901670, 71158888388, 23411274279652]]
[396, 6, [1, 66, 15246, 4360356, 1366971606, 451100629980, 153825314823180]]
[400, 40, [1, 10, 2050, 553500, 167433750, 53913667500, 18061078612500]]
[404, 2, [1, 202, 61206, 20606020, 7284228070, 2648545326252, 980844619155324]]
[405, 27, [1, 15, 3150, 866250, 266371875, 87103603125, 29615225062500]]
[408, 4, [1, 102, 26010, 7959060, 2638428390, 915006965652, 326657486737764]]
[412, 2, [1, 206, 63654, 21854540, 7878561670, 2921370667236, 1103304321992796]]
[414, 3, [1, 138, 38088, 12264336, 4231195920, 1518153096096, 558680339363328]]
[416, 16, [1, 26, 5746, 1643356, 523408886, 176912203468, 62096183417268]]
[420, 2, [1, 210, 66150, 23152500, 8508543750, 3216229537500, 1238248371937500]]
[423, 3, [1, 141, 39762, 13081698, 4611298545, 1690502046597, 635628769520472]]
[424, 4, [1, 106, 28090, 8932620, 3077287590, 1109054447436, 411459199998756]]
[425, 5, [1, 85, 21675, 6755375, 2296827500, 819967417500, 302021332112500]]
[428, 2, [1, 214, 68694, 24500860, 9175572070, 3534430361364, 1386674845108476]]
[432, 72, [1, 6, 1314, 381060, 124035030, 43015348404, 15528540773844]]
[436, 2, [1, 218, 71286, 25900580, 9881071270, 3877332366348, 1549640502417084]]
[440, 4, [1, 110, 30250, 9982500, 3568743750, 1334710162500, 513863412562500]]
[441, 21, [1, 21, 4851, 1460151, 490610736, 175148032752, 64979920150992]]
[444, 2, [1, 222, 73926, 27352620, 10626492870, 4246346550852, 1728263046196764]]
[448, 32, [1, 14, 3234, 980980, 333042710, 120295026852, 45190831754068]]
[450, 15, [1, 30, 7200, 2232000, 770040000, 281834640000, 107097163200000]]
[452, 2, [1, 226, 76614, 28857940, 11413315270, 4642936651836, 1923723419410716]]
[456, 4, [1, 114, 32490, 11111580, 4116840390, 1595687335164, 636679246730436]]
[459, 9, [1, 51, 13005, 4200615, 1499619555, 565956420057, 221288960242287]]
[460, 2, [1, 230, 79350, 30417500, 12243043750, 5068620112500, 2137268147437500]]
[464, 8, [1, 58, 15138, 4975356, 1803566550, 690405275340, 273630624126420]]
[468, 6, [1, 78, 21294, 7197372, 2666626326, 1039984267140, 419113659657420]]
[472, 4, [1, 118, 34810, 12322740, 4725770790, 1895979240948, 783039426511524]]
[475, 5, [1, 95, 27075, 9431125, 3583827500, 1429947172500, 588661586012500]]
[476, 2, [1, 238, 84966, 33703180, 14037374470, 6013611222948, 2623939030279644]]
[477, 3, [1, 159, 50562, 18758502, 7456504545, 3082518978903, 1306988047054872]]
[480, 16, [1, 30, 7650, 2524500, 927753750, 361823962500, 146538704812500]]
[484, 22, [1, 22, 5566, 1836780, 676853430, 265055803188, 107877711897516]]
[486, 81, [1, 6, 1476, 481176, 176110416, 68683062240, 27885323269440]]
[488, 4, [1, 122, 37210, 13618860, 5399877990, 2239869390252, 956424229637604]]
[490, 7, [1, 70, 19600, 6860000, 2641100000, 1072286600000, 450360372000000]]
[492, 2, [1, 246, 90774, 37217340, 16022064870, 7094570324436, 3199651216320636]]
[495, 3, [1, 165, 54450, 20963250, 8647340625, 3709709128125, 1632272016375000]]
[496, 8, [1, 62, 17298, 6077364, 2354978550, 963657222660, 408269443333620]]
[500, 50, [1, 10, 2550, 858500, 324083750, 130281667500, 54501164237500]]
[504, 12, [1, 42, 11466, 4013100, 1559089350, 641721176460, 274014942348420]]
[507, 13, [1, 39, 10647, 3737097, 1457467830, 602517200922, 258479879195538]]
[508, 2, [1, 254, 96774, 40967660, 18210124870, 8325669090564, 3876986573172636]]
[512, 256, [1, 2, 514, 175788, 67590486, 27712099260, 11833066384020]]
[513, 9, [1, 57, 16245, 5864445, 2339913555, 986975537499, 431308309887063]]
[516, 2, [1, 258, 99846, 42933780, 19384601670, 9002209015548, 4258044864354204]]
[520, 4, [1, 130, 42250, 16477500, 6961743750, 3077090737500, 1400076285562500]]
[522, 3, [1, 174, 60552, 24584112, 10694088720, 4838005736928, 2244834661934592]]
[524, 2, [1, 262, 102966, 44961820, 20614994470, 9722031392052, 4669815745315644]]
[525, 5, [1, 105, 33075, 12733875, 5348227500, 2358568327500, 1073148589012500]]
[528, 8, [1, 66, 19602, 7331148, 3024098550, 1317297328380, 594101095099380]]
[529, 23, [1, 23, 6348, 2287396, 920676890, 393865573542, 175138891701676]]
[531, 3, [1, 177, 62658, 25877754, 11450906145, 5269707007929, 2487301707742488]]
[532, 2, [1, 266, 106134, 47052740, 21903050470, 10487180565036, 5114248388882556]]
[536, 4, [1, 134, 44890, 18045780, 7858937190, 3580531783764, 1679269406585316]]
[539, 7, [1, 77, 23716, 9130660, 3866834510, 1726928292166, 797840870980692]]
[540, 18, [1, 30, 8550, 3163500, 1304943750, 571565362500, 260062239937500]]
[544, 16, [1, 34, 9826, 3674924, 1530605846, 676527783932, 310526252824788]]
[548, 2, [1, 274, 112614, 51427060, 24659275270, 12161954563164, 6109355175562716]]
[549, 3, [1, 183, 66978, 28599606, 13084319745, 6225519334671, 3038053435319448]]
[550, 5, [1, 110, 36300, 14641000, 6442040000, 2976222480000, 1418666048800000]]
[552, 4, [1, 138, 47610, 19710540, 8840177190, 4147811137548, 2003392779435684]]
[556, 2, [1, 278, 115926, 53712380, 26131072870, 13075988864148, 6664395657760764]]
[558, 3, [1, 186, 69192, 30029328, 13963637520, 6752815104672, 3349396291917312]]
[560, 8, [1, 70, 22050, 8746500, 3826593750, 1767886312500, 845638952812500]]
[564, 2, [1, 282, 119286, 56064420, 27667791270, 14044170848652, 7260836328753084]]
[567, 27, [1, 21, 6174, 2376990, 1023294195, 468464082471, 222988903256196]]
[568, 4, [1, 142, 50410, 21474660, 9910555590, 4784816238852, 2378053670709444]]
[572, 2, [1, 286, 122694, 58484140, 29271312070, 15068871453636, 7901111598856476]]
[575, 5, [1, 115, 39675, 16729625, 7695627500, 3716988082500, 1852299061112500]]
[576, 96, [1, 6, 1746, 673956, 292159926, 134977885812, 64924363075572]]
[578, 17, [1, 34, 10404, 4126920, 1824098640, 855867081888, 417092557906752]]
[580, 2, [1, 290, 126150, 60972500, 30943543750, 16152529837500, 8587761696937500]]
[584, 4, [1, 146, 53290, 23341020, 11075313990, 5497785864636, 2809368576828996]]
[585, 3, [1, 195, 76050, 34602750, 16868840625, 8552502196875, 4447301142375000]]
[588, 14, [1, 42, 13230, 5371380, 2425178070, 1161175259916, 577104104178252]]
[592, 8, [1, 74, 24642, 10333212, 4779110550, 2334117592620, 1180285462668180]]
[594, 9, [1, 66, 21780, 9104040, 4206066480, 2054242868832, 1039446891628992]]
[596, 2, [1, 298, 133206, 66158980, 34501908070, 18506823488748, 10110894566019324]]
[600, 20, [1, 30, 9450, 3874500, 1772583750, 861475702500, 435045229762500]]
[603, 3, [1, 201, 80802, 37896138, 19042809345, 9951772163697, 5334149879741592]]
[604, 2, [1, 302, 136806, 68859020, 36391992070, 19782686889252, 10953014307682524]]
[605, 11, [1, 55, 18150, 7653250, 3577894375, 1771057715625, 909142960687500]]
[608, 16, [1, 38, 12274, 5130532, 2388262646, 1179801747124, 605238296274612]]
[612, 6, [1, 102, 36414, 16094988, 7798021686, 3976991059860, 2095874288546220]]
[616, 4, [1, 154, 59290, 27391980, 13709685990, 7178391584364, 3869153063972196]]
[620, 2, [1, 310, 144150, 74477500, 40404043750, 22545456412500, 12813334394437500]]
[621, 9, [1, 69, 23805, 10402785, 5024545155, 2565532756143, 1357166827999647]]
[624, 8, [1, 78, 27378, 12101076, 5899274550, 3036946538340, 1618692504935220]]
[625, 125, [1, 5, 1575, 658875, 309671250, 155145296250, 80934129543750]]
[628, 2, [1, 314, 147894, 77397860, 42530124070, 24038026124364, 13837890372258876]]
[630, 3, [1, 210, 88200, 43218000, 22689450000, 12388439700000, 6937526232000000]]
[632, 4, [1, 158, 62410, 29582340, 15190531590, 8160353570148, 4512675524291844]]
[636, 2, [1, 318, 151686, 80393580, 44739027270, 25608619209348, 14929824999049884]]
[637, 7, [1, 91, 33124, 15071420, 7543245710, 3981325085738, 2173803496812948]]
[639, 3, [1, 213, 90738, 45096786, 24014038545, 13298974546221, 7553817542253528]]
[640, 64, [1, 10, 3250, 1397500, 674293750, 346586987500, 185424038312500]]
[644, 2, [1, 322, 155526, 83465620, 47032876870, 27260255433852, 16092637457783964]]
[648, 108, [1, 6, 1962, 851508, 415110150, 215691233940, 116688957561540]]
[650, 5, [1, 130, 50700, 24167000, 12566840000, 6861494640000, 3865308647200000]]
[652, 2, [1, 326, 159414, 86614940, 49413823270, 28996031494836, 17329961490080316]]
[656, 8, [1, 82, 30258, 14059884, 7205690550, 3899719725660, 2185142952944820]]
[657, 3, [1, 219, 95922, 49016142, 26836337745, 15280610712003, 8923876655809752]]
[660, 2, [1, 330, 163350, 89842500, 51884043750, 30819121987500, 18645568802437500]]
[664, 4, [1, 166, 68890, 34307220, 18508745190, 10446335785236, 6069321091222116]]
[666, 3, [1, 222, 98568, 51058224, 28337314320, 16356297825504, 9682928312698368]]
[668, 2, [1, 334, 167334, 93149260, 54445742470, 32732780372964, 20043372515044956]]
[672, 16, [1, 42, 14994, 6927228, 3564058806, 1945976108076, 1103368453279092]]
[675, 45, [1, 15, 5175, 2354625, 1200858750, 652066301250, 368417460206250]]
[676, 26, [1, 26, 9126, 4191876, 2152528326, 1175280465996, 667167544530396]]
[680, 4, [1, 170, 72250, 36847500, 20358243750, 11767064887500, 7001403608062500]]
[684, 6, [1, 114, 45486, 22470084, 12167550486, 6935503777020, 4085011724664780]]
[686, 49, [1, 14, 4900, 2263800, 1172648400, 646832857440, 371282060170560]]
[688, 8, [1, 86, 33282, 16219428, 8717942550, 4948304191380, 2907953429800980]]
[692, 2, [1, 346, 179574, 103554340, 62702152870, 39050900807436, 24771288078850236]]
[693, 3, [1, 231, 106722, 57523158, 33219623745, 19951706021247, 12290250909088152]]
[696, 4, [1, 174, 75690, 39510180, 22343006790, 13218122816964, 8049836795531076]]
[700, 10, [1, 70, 26950, 13205500, 7163983750, 4112126672500, 2446715370137500]]
[702, 9, [1, 78, 30420, 15027480, 8205004080, 4735928354976, 2832085156275648]]
[704, 32, [1, 22, 7986, 3806660, 2030853110, 1152712225236, 680484450297652]]
[708, 2, [1, 354, 187974, 110904660, 68705436870, 43779104373564, 28412638738443036]]
[711, 3, [1, 237, 112338, 62122914, 36807826545, 22680982717029, 14334381077162328]]
[712, 4, [1, 178, 79210, 42298140, 24469473990, 14808925658748, 9225960685400004]]
[716, 2, [1, 358, 192246, 114706780, 71863797670, 46309031218548, 30394160823107004]]
[720, 24, [1, 30, 11250, 5512500, 3018093750, 1756530562500, 1062700990312500]]
[722, 19, [1, 38, 14440, 7133360, 3930481360, 2300117691872, 1398471556658176]]
[724, 2, [1, 362, 196566, 118594820, 75129818470, 48954589715052, 32489529374222844]]
[725, 5, [1, 145, 63075, 33534875, 19450227500, 11845188547500, 7442726804012500]]
[726, 11, [1, 66, 26136, 13224816, 7419121776, 4406958334944, 2714686334325504]]
[728, 4, [1, 182, 82810, 45214260, 26744234790, 16549332488052, 10541924794889124]]
[729, 243, [1, 3, 1098, 534726, 292762485, 170914738743, 103916161155744]]
[732, 2, [1, 366, 200934, 122569740, 78505918470, 51719699088036, 34703918088072156]]
[735, 7, [1, 105, 44100, 23152500, 13370568750, 8142676368750, 5129886112312500]]
[736, 16, [1, 46, 17986, 9100916, 5128366166, 3066762967268, 1904459802673428]]
[738, 3, [1, 246, 121032, 69472368, 42725506320, 27327233842272, 17926665400530432]]
[740, 2, [1, 370, 205350, 126632500, 81994543750, 54608366137500, 37042675029937500]]
[744, 4, [1, 186, 86490, 48261420, 29174028390, 18449655553836, 12010725765547236]]
[747, 3, [1, 249, 124002, 72045162, 44848113345, 29034668579553, 19279019936823192]]
[748, 2, [1, 374, 209814, 130784060, 85598167270, 57624686206164, 39511326508693116]]
[750, 25, [1, 30, 11700, 5967000, 3401190000, 2061121140000, 1298506318200000]]
[752, 8, [1, 94, 39762, 21179892, 12443186550, 7719752935620, 4958654635646580]]
[756, 18, [1, 42, 16758, 8680644, 5013071910, 3074015695212, 1958147997850044]]
[760, 4, [1, 190, 90250, 51442500, 31765743750, 20520670462500, 13646245857562500]]
[764, 2, [1, 382, 218886, 139357420, 93160435270, 64057115291652, 44861333075920284]]
[765, 3, [1, 255, 130050, 77379750, 49329590625, 32705518584375, 22239752637375000]]
[768, 128, [1, 6, 2322, 1193508, 689250870, 424302835572, 271978117601652]]
[772, 2, [1, 386, 223494, 143781140, 97124160070, 67481866416636, 47754667467506076]]
[774, 3, [1, 258, 133128, 80143056, 51692271120, 34675175467296, 23856520721499648]]
[775, 5, [1, 155, 72075, 40962625, 25396827500, 16533334702500, 11104889808512500]]
[776, 4, [1, 194, 94090, 54760380, 34526419590, 22773626361564, 15463292299501956]]
[780, 2, [1, 390, 228150, 148297500, 101213043750, 71051556712500, 50801863049437500]]
[783, 9, [1, 87, 37845, 20852595, 12699230355, 8175764502549, 5453234923200183]]
[784, 56, [1, 14, 5586, 2945684, 1742372086, 1097694414180, 719721637564020]]
[788, 2, [1, 394, 232854, 152907460, 105429693670, 74770738750764, 54009396957635196]]
[792, 12, [1, 66, 28314, 15572700, 9507133350, 6149213850780, 4126122493873380]]
[796, 2, [1, 398, 237606, 157611980, 109776744070, 78644059451748, 57383948713292124]]
[800, 80, [1, 10, 4050, 2173500, 1309533750, 840720667500, 561881646112500]]
[801, 3, [1, 267, 142578, 88826094, 59291417745, 41160102198579, 29305992765388248]]
[804, 2, [1, 402, 242406, 162412020, 114256856070, 82676261052252, 60932404395509724]]
[808, 4, [1, 202, 102010, 61818060, 40583556390, 27872786528652, 19706060075756964]]
[810, 27, [1, 30, 12600, 6930000, 4261950000, 2787315300000, 1895374404000000]]
[812, 2, [1, 406, 247254, 167308540, 118872717670, 86872182073236, 64661860856511996]]
[816, 8, [1, 102, 46818, 27060804, 17251262550, 11613549948660, 8094644314216020]]
[819, 3, [1, 273, 149058, 94949946, 64803338145, 45997409415321, 33486114054353688]]
[820, 2, [1, 410, 252150, 172302500, 123627043750, 91236758287500, 68579629979437500]]
[824, 4, [1, 206, 106090, 65563620, 43894843590, 30743948450436, 22166386832764356]]
[825, 5, [1, 165, 81675, 49413375, 32612827500, 22600689457500, 16159492962112500]]
[828, 6, [1, 138, 66654, 39859092, 26127634806, 18028068016140, 12854012495507820]]
[832, 32, [1, 26, 11154, 6283420, 3961696310, 2657505884748, 1854053272259188]]
[833, 7, [1, 119, 56644, 33703180, 22058731310, 15224936350162, 10870604554015668]]
[836, 2, [1, 418, 262086, 182586580, 133562083270, 100492111452348, 77010454742982684]]
[837, 9, [1, 93, 43245, 25471305, 16581819555, 11411608217751, 8136476659256463]]
[840, 4, [1, 210, 110250, 69457500, 47404743750, 33846987037500, 24877535472562500]]
[841, 29, [1, 29, 12615, 7194755, 4590253690, 3114946154034, 2198113669363326]]
[844, 2, [1, 422, 267126, 187878620, 138748360870, 105393254916852, 81539248220671164]]
[845, 13, [1, 65, 29575, 17301375, 11245893750, 7748420793750, 5540120867531250]]
[846, 3, [1, 282, 159048, 104653584, 73780776720, 54096065491104, 40680241249310208]]
[847, 11, [1, 77, 35574, 21000518, 13744839031, 9525173448483, 6845424651643116]]
[848, 8, [1, 106, 50562, 30370908, 20120726550, 14076460294380, 10196049406562580]]
[850, 5, [1, 170, 86700, 54043000, 36749240000, 26238957360000, 19329365255200000]]
[852, 2, [1, 426, 272214, 193271940, 144084231270, 110483788537836, 86287838848049916]]
[855, 3, [1, 285, 162450, 108029250, 76970840625, 57035392903125, 43346898606375000]]
[856, 4, [1, 214, 114490, 73502580, 51121044390, 37195671898164, 27859558251724836]]
[860, 2, [1, 430, 277350, 198767500, 149572543750, 115769148862500, 91264679019937500]]
[864, 144, [1, 6, 2610, 1508580, 979822710, 678429244404, 489147485215284]]
[867, 17, [1, 51, 23409, 13928355, 9234499365, 6499240653087, 4750944917406597]]
[868, 2, [1, 434, 282534, 204366260, 155216174470, 121254875495964, 96478462602955356]]
[872, 4, [1, 218, 118810, 77701740, 55051682790, 40804307283948, 31133686457652324]]
[873, 3, [1, 291, 169362, 114996798, 83660170545, 63297285034347, 49118693186653272]]
[875, 25, [1, 35, 15925, 9475375, 6301124375, 4454894933125, 3274347775846875]]
[876, 2, [1, 438, 287766, 210069180, 161018026470, 126946612068948, 101938129491365244]]
[880, 8, [1, 110, 54450, 33940500, 23334093750, 16940552062500, 12733648300312500]]
[882, 21, [1, 42, 19404, 11681208, 7849771776, 5604737048064, 4158714889663488]]
[884, 2, [1, 442, 293046, 215877220, 166981029670, 132850107205452, 107652870205484604]]
[888, 4, [1, 222, 123210, 82057860, 59204745990, 44687742273252, 34722375746316804]]
[891, 27, [1, 33, 15246, 9223830, 6239920995, 4488999163803, 3357771374524644]]
[892, 2, [1, 446, 298374, 221791340, 173108140870, 138971215490436, 113632130532679836]]
[896, 64, [1, 14, 6370, 3834740, 2590366870, 1864027999652, 1396156971739348]]
[900, 30, [1, 30, 13950, 8509500, 5807733750, 4216414702500, 3183393100387500]]
[904, 4, [1, 226, 127690, 86573820, 63588470790, 48861380955036, 38649352335433476]]
[908, 2, [1, 454, 309174, 233941660, 185866648870, 151890225456564, 126423297655013436]]
[909, 3, [1, 303, 183618, 129817926, 98337078945, 77469950792871, 62595720240639768]]
[912, 8, [1, 114, 58482, 37779372, 26917802550, 20252954638620, 15777051663484980]]
[916, 2, [1, 458, 314646, 240179780, 192504093670, 158700374821548, 133255414725159804]]
[918, 9, [1, 102, 52020, 33604920, 23993912880, 18110605441824, 14162493455506368]]
[920, 4, [1, 230, 132250, 91252500, 68211243750, 53341192612500, 42939660053062500]]
[924, 2, [1, 462, 320166, 246527820, 199317742470, 165752634638052, 140392481538430044]]
[925, 5, [1, 185, 102675, 69647875, 51539427500, 40046135167500, 32103651692612500]]
[927, 3, [1, 309, 190962, 137683602, 106360582545, 85450092016653, 70410875821722072]]
[928, 16, [1, 58, 28594, 18242972, 12961631606, 9773070230924, 7652313990813492]]
[931, 7, [1, 133, 70756, 47052740, 34419079310, 26550877779734, 21187600468227732]]
[932, 2, [1, 466, 325734, 252986740, 206310686470, 173053403811036, 147845291322561756]]
[936, 12, [1, 78, 39546, 25704900, 18546085350, 14176627641540, 11242065719741220]]
[940, 2, [1, 470, 331350, 259557500, 213486043750, 180609193012500, 155624921312437500]]
[944, 8, [1, 118, 62658, 41897316, 30899270550, 24064351904340, 19403889085532820]]
[945, 9, [1, 105, 55125, 36658125, 26943721875, 20935271896875, 16852893876984375]]
[948, 2, [1, 474, 337014, 266241060, 220846959270, 188426625649164, 163742737689123516]]
[950, 5, [1, 190, 108300, 75449000, 57341240000, 45758309520000, 37674341504800000]]
[952, 4, [1, 238, 141610, 101109540, 78208229190, 63286099060548, 52717320517436484]]
[954, 3, [1, 318, 202248, 150068016, 119304072720, 98640607324896, 83647235011511808]]
[956, 2, [1, 478, 342726, 273038380, 228396604870, 196512438830148, 172210400561486364]]
[960, 32, [1, 30, 14850, 9652500, 7022193750, 5435177962500, 4375318259812500]]
[961, 31, [1, 31, 15376, 10009776, 7292121816, 5651394407400, 4555023892364400]]
[963, 3, [1, 321, 206082, 154355418, 123870222945, 103382088069897, 88495067387831832]]
[964, 2, [1, 482, 348486, 279950420, 236138179270, 204873484334652, 181039868990387484]]
[968, 44, [1, 22, 10890, 7107540, 5199165510, 4049110099188, 3281128883708676]]
[972, 162, [1, 6, 2934, 1907100, 1393136550, 1084974745140, 879914518308540]]
[975, 5, [1, 195, 114075, 81563625, 63619627500, 52104474922500, 44028281309512500]]
[976, 8, [1, 122, 66978, 46304124, 35306894550, 28429111491660, 23700402613547220]]
[980, 14, [1, 70, 36750, 24867500, 18712793750, 14932809412500, 12369343796687500]]
[981, 3, [1, 327, 213858, 163173654, 133394462145, 113411971715679, 98895239336072088]]
[984, 4, [1, 246, 151290, 111652020, 89265789990, 74661906747636, 64283901709714596]]
[988, 2, [1, 494, 366054, 301384460, 260546865670, 231678272953764, 209823289205125596]]
[990, 3, [1, 330, 217800, 167706000, 138357450000, 118710692100000, 104465409048000000]]
[992, 16, [1, 62, 32674, 22283668, 16924445846, 13641103351876, 11417603505520212]]
[996, 2, [1, 498, 372006, 308764980, 269088680070, 241211092814748, 220225727739864924]]
[999, 9, [1, 111, 61605, 43308315, 33650560755, 27640570604157, 23522125584137607]]
[1000, 100, [1, 10, 5050, 3383500, 2546083750, 2041959167500, 1705035904862500]]
[1004, 2, [1, 502, 378006, 316265020, 277838820070, 251055157815252, 231054430242636924]]
[1008, 24, [1, 42, 22050, 15126300, 11594308950, 9447042932460, 8001645363793620]]
[1012, 2, [1, 506, 384054, 323885540, 286800645670, 261218028076236, 242323257378721596]]
[1014, 13, [1, 78, 42588, 29896776, 23319485280, 19280550429504, 16542712268514432]]
[1016, 4, [1, 254, 161290, 122902980, 101456409990, 87617755667364, 77892184788286596]]
[1017, 3, [1, 339, 229842, 181805022, 154079756145, 135805897066203, 122768530947847512]]
[1020, 2, [1, 510, 390150, 331627500, 295977543750, 271707385162500, 254046405126937500]]
[1024, 512, [1, 2, 1026, 701100, 538795350, 441596668860, 376976356316820]]
[1025, 5, [1, 205, 126075, 94766375, 77708427500, 66906956077500, 59435679315512500]]
[1026, 9, [1, 114, 64980, 46915560, 37438616880, 31583217199968, 27603731832772032]]
[1028, 2, [1, 514, 396294, 339491860, 305372928070, 282531033050364, 266238410144459676]]
[1029, 49, [1, 21, 11025, 7640325, 5936532525, 4911887011185, 4229134716630285]]
[1032, 4, [1, 258, 166410, 128801340, 107999923590, 94737532973148, 85547992274752644]]
[1035, 3, [1, 345, 238050, 191630250, 165281090625, 148257138290625, 136396567227375000]]
[1036, 2, [1, 518, 402486, 347479580, 314990239270, 293696899095348, 278914155174215484]]
[1040, 8, [1, 130, 76050, 56023500, 45519093750, 39055382437500, 34694198065312500]]
[1044, 6, [1, 174, 105966, 79898364, 66035997846, 57451318126020, 51648734995291980]]
[1048, 4, [1, 262, 171610, 134885460, 114854969190, 102312806554452, 93820843610432484]]
[1050, 5, [1, 210, 132300, 101871000, 85571640000, 75474186480000, 68681509696800000]]
[1052, 2, [1, 526, 415014, 363828940, 334904539270, 317087617780836, 305778159413319516]]
[1053, 27, [1, 39, 21294, 15225210, 12172555395, 10349106596829, 9148610231596836]]
[1056, 16, [1, 66, 37026, 26880876, 21733188246, 18647075515068, 16614544283925588]]
[1058, 23, [1, 46, 25392, 18299168, 14730830240, 12603698353344, 11208889068907264]]
[1060, 2, [1, 530, 421350, 372192500, 345208543750, 329328950737500, 319997963799937500]]
[1062, 3, [1, 354, 250632, 207022032, 183214498320, 168630624253728, 159187309295519232]]
[1064, 4, [1, 266, 176890, 141158220, 122031281190, 110365090708236, 102749899449367716]]
[1068, 2, [1, 534, 427734, 380683260, 355748506470, 341945464418964, 334764609666165756]]
[1071, 3, [1, 357, 254898, 212330034, 189504555345, 175898128271229, 167455018114210008]]
[1072, 8, [1, 134, 80802, 61355652, 51385358550, 45445211101620, 41612664965383380]]
[1075, 5, [1, 215, 138675, 109322125, 94017027500, 84897375832500, 79096055150612500]]
[1076, 2, [1, 538, 434166, 389302180, 366528002470, 354945717591948, 350094792784858044]]
[1078, 7, [1, 154, 94864, 73045280, 61869352160, 55261705349312, 51061815742764288]]
[1080, 36, [1, 30, 16650, 12154500, 9936303750, 8644584262500, 7823348757562500]]
[1083, 19, [1, 57, 32490, 24075090, 19898061885, 17466518722653, 15929465075059536]]
[1084, 2, [1, 542, 440646, 398050220, 377550633670, 368338398208452, 366005588353131804]]
[1088, 32, [1, 34, 19074, 14051180, 11585197910, 10162535606652, 9271619985135508]]
[1089, 33, [1, 33, 18513, 13644081, 11256366825, 9880838798985, 9021205823473305]]
[1092, 2, [1, 546, 447174, 406928340, 388820028870, 382132324373436, 382514456697809436]]
[1096, 4, [1, 274, 187690, 154281180, 137387390790, 127990093259964, 122742499436305476]]
[1098, 3, [1, 366, 267912, 228796848, 209349115920, 199216618709472, 194435419860444672]]
[1100, 10, [1, 110, 66550, 51243500, 43685083750, 39403945542500, 36842689082237500]]
[1104, 8, [1, 138, 85698, 67015836, 57801158550, 52645295207340, 49644513380521620]]
[1107, 9, [1, 123, 75645, 58927455, 50736538755, 46180397574801, 43548114913037343]]
[1108, 2, [1, 554, 460374, 425078660, 412113760870, 410959842339564, 417398213202883836]]
[1112, 4, [1, 278, 193210, 161137140, 145587405990, 137609216141748, 133893767305920804]]
[1116, 6, [1, 186, 121086, 97595316, 86225461686, 80189679367980, 77062281872628780]]
[1120, 16, [1, 70, 41650, 32070500, 27500453750, 25025412912500, 23649015202312500]]
[1124, 2, [1, 562, 473766, 443760820, 436438766470, 441501456161052, 454893666997937244]]
[1125, 75, [1, 15, 8550, 6455250, 5470824375, 4940154410625, 4643745145987500]]
[1127, 7, [1, 161, 103684, 83465620, 73908806510, 69016043519038, 66669498039390708]]
[1128, 4, [1, 282, 198810, 168193260, 154149122790, 147798178931052, 145876802604948324]]
[1132, 2, [1, 566, 480534, 453303740, 448997354470, 457438504734036, 474668688412351356]]
[1134, 27, [1, 42, 24696, 19015920, 16372707120, 14990850639072, 14271289808396544]]
[1136, 8, [1, 142, 90738, 73013844, 64799786550, 60730359954660, 58928692609338420]]
[1140, 2, [1, 570, 487350, 462982500, 461825043750, 473832494887500, 495154957157437500]]
[1143, 3, [1, 381, 290322, 258096258, 245836685745, 243525820898997, 247422234033380952]]
[1144, 4, [1, 286, 204490, 175452420, 163083024390, 158581932916836, 158740514849752836]]
[1148, 2, [1, 574, 494214, 472798060, 474925651270, 490693182892164, 516372792796853916]]
[1150, 5, [1, 230, 158700, 133837000, 123130040000, 118943618640000, 118547139911200000]]
[1152, 192, [1, 6, 3474, 2674980, 2315195190, 2136462121332, 2053140098600052]]
[1156, 34, [1, 34, 20230, 15819860, 13850287430, 12902927769788, 12502937008924572]]
[1160, 4, [1, 290, 210250, 182917500, 172399743750, 169986147337500, 172535939547562500]]
[1161, 9, [1, 129, 83205, 67978485, 61384571955, 58597712388243, 57953137551972327]]
[1164, 2, [1, 582, 508086, 492843420, 501961023270, 525854367977652, 561086610632154684]]
[1168, 8, [1, 146, 95922, 79359468, 72415514550, 69779589820380, 69616770777465780]]
[1170, 3, [1, 390, 304200, 276822000, 269901450000, 273680070300000, 284627273112000000]]
[1172, 2, [1, 586, 515094, 503075140, 515903556070, 544175070942636, 584625417882705276]]
[1175, 5, [1, 235, 165675, 142756625, 134191227500, 132446741542500, 134874931804112500]]
[1176, 28, [1, 42, 25578, 20411244, 18217035270, 17291609878284, 17066818949866308]]
[1179, 3, [1, 393, 308898, 283259466, 278302425345, 284369418217521, 298019150291962008]]
[1180, 2, [1, 590, 522150, 513447500, 530134543750, 563002885462500, 608981454441937500]]
[1183, 13, [1, 91, 57967, 47474973, 43202225430, 41672866649778, 41714539516427778]]
[1184, 16, [1, 74, 46546, 37888444, 34345874486, 33040731255532, 33007690524276468]]
[1188, 18, [1, 66, 41382, 33684948, 30569090310, 29456375422716, 29485831798138716]]
[1192, 4, [1, 298, 222010, 198476940, 192224916390, 194762285286348, 203137063553660964]]
[1196, 2, [1, 598, 536406, 534617980, 559477716070, 602221813577748, 660235848285737724]]
[1197, 3, [1, 399, 318402, 296432262, 295691181345, 306750031527303, 326382033545050392]]
[1200, 40, [1, 30, 18450, 14944500, 13562133750, 13101021202500, 13166526308512500]]
[1204, 2, [1, 602, 543606, 545418020, 574597884070, 622634267178252, 687180686209064124]]
[1206, 3, [1, 402, 323208, 303169104, 304684949520, 318456709238304, 341385592303461888]]
[1208, 4, [1, 302, 228010, 206577060, 202755384390, 208189228691652, 220056014727076164]]
[1210, 11, [1, 110, 72600, 61226000, 57246310000, 56673846900000, 58185149484000000]]
[1212, 2, [1, 606, 550854, 556362540, 590022473670, 643596514279236, 715035727364231196]]
[1215, 81, [1, 15, 9225, 7518375, 6879313125, 6707330296875, 6807940251328125]]
[1216, 32, [1, 38, 23826, 19616740, 18076825910, 17722520122164, 18071063017899892]]
[1220, 2, [1, 610, 558150, 567452500, 605755543750, 665119587037500, 743825404836937500]]
[1224, 12, [1, 102, 67626, 57482100, 54234361350, 54212667605460, 56218536306862020]]
[1225, 35, [1, 35, 22050, 18264750, 16940555625, 16720328401875, 17166203825925000]]
[1228, 2, [1, 614, 565494, 578688860, 621801180070, 687214664213364, 773574640349510076]]
[1232, 8, [1, 154, 106722, 93132732, 89640254550, 91110354724620, 95878463288541780]]
[1233, 3, [1, 411, 337842, 323990478, 332900216145, 355737170972547, 389887939385911512]]
[1236, 2, [1, 618, 572886, 590072580, 638163495270, 709893072138348, 804308850732748284]]
[1240, 4, [1, 310, 240250, 223432500, 225108243750, 237264088912500, 257431536470062500]]
[1242, 9, [1, 138, 95220, 83222280, 80392722480, 82097048196576, 86858676991977408]]
[1244, 2, [1, 622, 580326, 601604620, 654846628870, 733166285682852, 836053954440345564]]
[1248, 16, [1, 78, 51714, 44370612, 42396119766, 42989665442724, 45268117711188372]]
[1250, 125, [1, 10, 6300, 5271000, 4954740000, 4964649480000, 5179784290800000]]
[1251, 3, [1, 417, 347778, 338387994, 352769483745, 382472674276329, 425309613795277848]]
[1252, 2, [1, 626, 587814, 613285940, 671854747270, 757045929223836, 868836378105889116]]
[1256, 4, [1, 314, 246490, 232193580, 236953548390, 252971608261164, 278015797479019236]]
[1260, 6, [1, 210, 154350, 140458500, 140107353750, 147112721437500, 159617302759687500]]
[1264, 8, [1, 158, 112338, 100579956, 99322706550, 103573718390340, 111825091288770420]]
[1268, 2, [1, 634, 602934, 637100260, 706862738470, 806671757141964, 937621472384676156]]
[1269, 9, [1, 141, 99405, 88768665, 87614672355, 91417149135207, 98821938215158767]]
[1272, 4, [1, 318, 252810, 241180740, 249260294790, 269500230726948, 299953756799093124]]
[1274, 7, [1, 182, 132496, 120571360, 120691931360, 127402402743616, 139123423796028672]]
[1275, 5, [1, 255, 195075, 182395125, 186043027500, 199252082452500, 220173551110012500]]
[1276, 2, [1, 638, 610566, 649235180, 724871078470, 832441946514948, 973679596773650844]]
[1278, 3, [1, 426, 362952, 360774288, 384224616720, 425567185479072, 483444322704225792]]
[1280, 128, [1, 10, 6450, 5525500, 5318293750, 5456569387500, 5829434962312500]]
[1284, 2, [1, 642, 618246, 661523220, 743221337670, 858866577811452, 1010885962084079004]]
[1287, 3, [1, 429, 368082, 368450082, 395162712945, 440764490018853, 504234576581567832]]
[1288, 4, [1, 322, 259210, 250396860, 262040313990, 286881735756252, 323315716197296004]]
[1292, 2, [1, 646, 625974, 673965340, 761917816870, 885958037456436, 1049269635694239036]]
[1296, 216, [1, 6, 3906, 3382596, 3292957206, 3418089579828, 3694954835794068]]
[1300, 10, [1, 130, 92950, 84584500, 85218883750, 90843330077500, 100381879735637500]]
[1304, 4, [1, 326, 265690, 259844820, 275305586790, 305148712398036, 348174680846159076]]
[1305, 3, [1, 435, 378450, 384126750, 417737840625, 472461497746875, 548055337386375000]]
[1308, 2, [1, 654, 641574, 699315660, 800366772870, 942191765022564, 1129687926262054236]]
[1312, 16, [1, 82, 57154, 51552908, 51784896086, 55202699227676, 61109388045037332]]
[1314, 3, [1, 438, 383688, 392129136, 429381403920, 488979542784096, 571128105971824128]]
[1316, 2, [1, 658, 649446, 712225780, 820127985670, 971359586227548, 1171783447519165404]]
[1320, 4, [1, 330, 272250, 269527500, 289068243750, 324334569487500, 374606427758062500]]
[1323, 63, [1, 21, 14112, 12545568, 12514204080, 13297593255408, 14707138140481248]]
[1324, 2, [1, 662, 657366, 725293820, 840252890470, 1001245344284052, 1215178099512744444]]
[1325, 5, [1, 265, 210675, 204705875, 216988227500, 241507897207500, 277331568626612500]]
[1328, 8, [1, 166, 124002, 116644548, 121018718550, 132588108043380, 150399110557207380]]
[1331, 121, [1, 11, 7381, 6576471, 6583047471, 7024111651557, 7803788044879827]]
[1332, 6, [1, 222, 172494, 165939228, 174982915926, 194231036677860, 222782999069505420]]
[1336, 4, [1, 334, 278890, 279447780, 303340565190, 344473545829764, 402689575074994116]]
[1340, 2, [1, 670, 673350, 751907500, 881611543750, 1063223521762500, 1305992892564937500]]
[1341, 3, [1, 447, 399618, 416801574, 465775758945, 541324587045879, 645258907758687768]]
[1344, 32, [1, 42, 29106, 26486460, 26976459510, 29231691525036, 32944116348715572]]
[1348, 2, [1, 674, 681414, 765455060, 902854243270, 1095342767935164, 1353478546911884316]]
[1350, 45, [1, 30, 20700, 18837000, 19213740000, 20866121640000, 23578717453200000]]
[1352, 52, [1, 26, 17914, 16301740, 16635925670, 18079924018156, 20448394064534436]]
[1356, 2, [1, 678, 689526, 779164380, 924478536870, 1128233606396148, 1402394372750411964]]
[1359, 3, [1, 453, 410418, 433811826, 491291892945, 578643591510621, 699001458544830168]]
[1360, 8, [1, 170, 130050, 125281500, 133111593750, 149351208187500, 173496320177812500]]
[1364, 2, [1, 682, 697686, 793036420, 946488967270, 1161909856220652, 1452774623561221884]]
[1368, 12, [1, 114, 84474, 80250300, 84623941350, 94541867276220, 109574024173138980]]
[1369, 37, [1, 37, 26011, 24060175, 24926341300, 27483783917380, 31523900153234860]]
[1372, 98, [1, 14, 9702, 8919372, 9209251590, 10133860449636, 11610026121799644]]
[1375, 25, [1, 55, 39325, 36768875, 38423474375, 42688480030625, 49305194435371875]]
[1376, 16, [1, 86, 62866, 59471236, 62652947126, 70045994886868, 81323400063653748]]
[1377, 27, [1, 51, 36414, 34047090, 35596232595, 39575891399121, 45749730457383876]]
[1380, 2, [1, 690, 714150, 821272500, 991686543750, 1231674687337500, 1558068479481937500]]
[1384, 4, [1, 346, 299290, 310663020, 349340565990, 410964241830636, 497677696856900196]]
[1386, 3, [1, 462, 426888, 460185264, 531513979920, 638454592679904, 786576058181641728]]
[1388, 2, [1, 694, 722454, 835638460, 1014882909670, 1267791730759764, 1613053678770006396]]
[1392, 8, [1, 174, 136242, 134334612, 146088890550, 167768481907620, 199476724988160180]]
[1395, 3, [1, 465, 432450, 469208250, 545454590625, 659454600065625, 817723704081375000]]
[1396, 2, [1, 698, 730806, 850170980, 1038483852070, 1304751111740748, 1669646505990910524]]
[1400, 20, [1, 70, 51450, 49220500, 52542883750, 59583630172500, 70209377553262500]]
[1404, 18, [1, 78, 57798, 55601676, 59632797510, 67909829804388, 80337328658591004]]
[1408, 64, [1, 22, 15730, 14880580, 15795735670, 17861817895636, 21023359663163572]]
[1412, 2, [1, 706, 747654, 879739540, 1086918201670, 1381255650682236, 1787805230533040796]]
[1413, 3, [1, 471, 443682, 487606518, 574156674945, 703112264137647, 883109003756884632]]
[1416, 4, [1, 354, 313290, 332713980, 382787433990, 460722955550364, 570835741926900996]]
[1420, 2, [1, 710, 756150, 894777500, 1111761043750, 1420830613912500, 1849447849109437500]]
[1421, 7, [1, 203, 164836, 167308540, 186799984910, 219938302233034, 267884852119835412]]
[1422, 3, [1, 474, 449352, 496983312, 588925224720, 725791446944928, 917400388938388992]]
[1424, 8, [1, 178, 142578, 143813676, 159992714550, 187959441053340, 228621333467879220]]
[1425, 5, [1, 285, 243675, 254640375, 290290027500, 347477162917500, 429134296203112500]]
[1428, 2, [1, 714, 764694, 909985860, 1137027332070, 1461307527176364, 1912851553073860476]]
[1431, 9, [1, 159, 126405, 127289835, 141673586355, 166693141705293, 203198939738752167]]
[1432, 4, [1, 358, 320410, 344120340, 400384015590, 487347423776148, 610646321991513444]]
[1436, 2, [1, 718, 773286, 925365580, 1162721851270, 1502701720581348, 1978056364858581084]]
[1440, 48, [1, 30, 22050, 21388500, 23259993750, 26935072762500, 32456762678812500]]
[1444, 38, [1, 38, 28158, 27463436, 30003803830, 34888423093524, 42203362468799532]]
[1445, 17, [1, 85, 65025, 64483125, 71253853125, 83580769715625, 101829237770203125]]
[1448, 4, [1, 362, 327610, 355784460, 418580417190, 515188777477452, 652744181063931684]]
[1449, 3, [1, 483, 466578, 525833406, 634943837745, 797362471440171, 1027002863214940248]]
[1450, 5, [1, 290, 252300, 268279000, 311203640000, 379046033520000, 476334515456800000]]
[1452, 22, [1, 66, 50094, 49593060, 54825127830, 64408560174684, 78642851973289164]]
[1456, 8, [1, 182, 149058, 153728484, 174866150550, 210049220040660, 261231213323900820]]
[1458, 243, [1, 6, 4392, 4277808, 4684199760, 5469271639776, 6650634313967616]]
[1460, 2, [1, 730, 799350, 972542500, 1242423043750, 1632543879487500, 2184887892047437500]]
[1464, 4, [1, 366, 334890, 367709220, 437390117190, 544288261831236, 697233263405813316]]
[1467, 3, [1, 489, 478242, 545674122, 667086614145, 848133921223953, 1105966633276034712]]
[1468, 2, [1, 734, 808134, 988617260, 1269878870470, 1677763963664964, 2257711040438486556]]
[1470, 7, [1, 210, 176400, 185220000, 213929100000, 260565643800000, 328312711188000000]]
[1472, 32, [1, 46, 34914, 34797620, 38816745110, 46067713096548, 56862913865505748]]
[1475, 5, [1, 295, 261075, 282396125, 333227427500, 412868782672500, 527783927183012500]]
[1476, 6, [1, 246, 211806, 225785196, 263830001526, 324510901876980, 412453356285641580]]
[1480, 4, [1, 370, 342250, 379897500, 456826743750, 574688043637500, 744221016510562500]]
[1484, 2, [1, 742, 825846, 1021296220, 1326153141670, 1771210136014452, 2409436188358326204]]
[1485, 9, [1, 165, 136125, 142250625, 164299471875, 200609655159375, 253771213776609375]]
[1488, 8, [1, 186, 155682, 164088828, 190753262550, 234168705106380, 297628424190208980]]
[1492, 2, [1, 746, 834774, 1037902340, 1354981504870, 1819469164739436, 2488427327641968636]]
[1494, 3, [1, 498, 496008, 576361296, 717569813520, 929109394545696, 1233857275956684288]]
[1496, 4, [1, 374, 349690, 392352180, 476904074790, 606431221502964, 793818468947379876]]
[1500, 50, [1, 30, 22950, 23179500, 26250783750, 31658445202500, 39731348729137500]]
[1503, 3, [1, 501, 502002, 586840338, 735017523345, 957433825909197, 1279131591414687192]]
[1504, 16, [1, 94, 75106, 77659604, 89425034006, 109277391555332, 138673009883716308]]
[1508, 2, [1, 754, 852774, 1071652660, 1414045684870, 1919142803505564, 2652895068712524636]]
[1512, 36, [1, 42, 32634, 33351948, 38171304486, 46492648863948, 58906186110622116]]
[1516, 2, [1, 758, 861846, 1088798780, 1444291581670, 1970591434030548, 2738465229491118204]]
[1519, 7, [1, 217, 188356, 204366260, 243911131310, 306986549866766, 399696487926529332]]
[1520, 8, [1, 190, 162450, 174904500, 207699093750, 260454663562500, 338156971525312500]]
[1521, 39, [1, 39, 30420, 31241340, 35943161670, 44015995781082, 56076378625098468]]
[1524, 2, [1, 762, 870966, 1106126820, 1475020114470, 2023137589007052, 2826323211842851644]]
[1525, 5, [1, 305, 279075, 312098875, 380760627500, 487754363827500, 644648684192012500]]
[1528, 4, [1, 382, 364810, 418072260, 519036710790, 674124879974052, 901304964525307524]]
[1530, 3, [1, 510, 520200, 619038000, 789273450000, 1046576594700000, 1423344168792000000]]
[1532, 2, [1, 766, 880134, 1123637740, 1506236390470, 2076798735180036, 2916517690437830556]]
[1536, 256, [1, 6, 4626, 4746276, 5474829366, 6734040120180, 8626305393950580]]
[1539, 27, [1, 57, 45486, 47532870, 55542158595, 69016686270147, 89169558661029924]]
[1540, 2, [1, 770, 889350, 1141332500, 1537945543750, 2131592523637500, 3009098112534937500]]
[1544, 4, [1, 386, 372490, 431343420, 541120320390, 710166308479836, 959434682756258436]]
[1548, 6, [1, 258, 232974, 260464932, 319199774166, 411767708674140, 548886355662628620]]
[1550, 5, [1, 310, 288300, 327701000, 406349240000, 529066710480000, 710712947744800000]]
[1552, 8, [1, 194, 169362, 186185292, 225749666550, 289049873050620, 383183781707438580]]
[1556, 2, [1, 778, 907926, 1177277380, 1602863152870, 2244649559279148, 3201618488051824764]]
[1557, 3, [1, 519, 538722, 652392342, 846479063745, 1142238848617503, 1580858566486624152]]
[1560, 4, [1, 390, 380250, 444892500, 563901243750, 747733049212500, 1020655612175062500]]
[1564, 2, [1, 782, 917286, 1195529420, 1636082011270, 2302949039063652, 3301661272337589084]]
[1566, 9, [1, 174, 151380, 166820760, 203187685680, 261624464081568, 349007035084811712]]
[1568, 112, [1, 14, 11074, 11627700, 13714872150, 17242337266980, 22570219482476820]]
[1572, 2, [1, 786, 926694, 1213969140, 1669814552070, 2362453628268636, 3404295678335104476]]
[1573, 11, [1, 143, 122694, 134513522, 163501185991, 210426026370417, 280848603195716556]]
[1575, 15, [1, 105, 88200, 95697000, 115554127500, 148024837327500, 196873033645575000]]
[1576, 4, [1, 394, 388090, 458722380, 587394007590, 786873012567564, 1085097884330670756]]
[1580, 2, [1, 790, 936150, 1232597500, 1704066043750, 2423181914212500, 3509575139084437500]]
[1584, 24, [1, 66, 54450, 58697100, 70700656950, 90525121158780, 120488936262336180]]
[1587, 23, [1, 69, 57132, 61759692, 74574828090, 95709334370706, 127676252050521804]]
[1588, 2, [1, 794, 945654, 1251415460, 1738841781670, 2485152674362764, 3617553909647396796]]
[1592, 4, [1, 398, 396010, 472835940, 611613288390, 827635101849348, 1152895696876141764]]
[1593, 9, [1, 177, 156645, 175599045, 217567216755, 284969540505699, 386703666466233543]]
[1596, 2, [1, 798, 955206, 1270423980, 1774147088070, 2548384877303748, 3728287075495383324]]
[1600, 160, [1, 10, 8050, 8613500, 10357733750, 13278614667500, 17726950581112500]]
[1602, 3, [1, 534, 570312, 710608752, 948662683920, 1317123270354528, 1875583536984847872]]
[1604, 2, [1, 802, 964806, 1289624020, 1809987312070, 2612897683704252, 3841830560939818524]]
[1608, 4, [1, 402, 404010, 487236060, 636573912390, 870069223454652, 1224187397400695364]]
[1611, 3, [1, 537, 576738, 722652714, 970161268545, 1354539163142529, 1939700081620101528]]
[1612, 2, [1, 806, 974454, 1309016540, 1846367829670, 2678710447285236, 3958241137605150396]]
[1616, 8, [1, 202, 183618, 210181404, 265354022550, 353769982863660, 488320499679472020]]
[1617, 7, [1, 231, 213444, 246527820, 313213595310, 419643574996338, 581625994944924468]]
[1620, 54, [1, 30, 24750, 26977500, 32979993750, 42939951862500, 58183634773687500]]
[1624, 4, [1, 406, 412090, 501925620, 662290855590, 914226297056436, 1299115568117195556]]
[1625, 25, [1, 65, 54925, 60692125, 74954774375, 98415618754375, 134337319599721875]]
[1628, 2, [1, 814, 993894, 1348382860, 1920771384070, 2814314231939364, 4199894938797510876]]
[1629, 3, [1, 543, 589698, 747147366, 1014252549345, 1431921749165271, 2073422692791312408]]
[1632, 16, [1, 102, 88434, 99222948, 123979073526, 164396251495476, 226373638309270452]]
[1636, 2, [1, 818, 1003686, 1368358580, 1958805307270, 2884144934424348, 4325256019991713884]]
[1638, 3, [1, 546, 596232, 759599568, 1036853410320, 1471917101290272, 2143111299478636032]]
[1640, 4, [1, 410, 420250, 516907500, 688779243750, 960158265787500, 1377827111405062500]]
[1644, 2, [1, 822, 1013526, 1388530620, 1997401296870, 2955354958848852, 4453719922985219964]]
[1647, 9, [1, 183, 167445, 194068755, 248602075155, 336656930174901, 472329673035386103]]
[1648, 8, [1, 206, 190962, 222916308, 287004746550, 390211653409380, 549287937449270580]]
[1650, 5, [1, 330, 326700, 395307000, 521805240000, 723222062640000, 1034207549575200000]]
[1652, 2, [1, 826, 1023414, 1408899940, 2036564863270, 3027964638709836, 4585347784552928316]]
[1656, 12, [1, 138, 123786, 142353900, 181714753350, 245751032430540, 344788698500047620]]
[1660, 2, [1, 830, 1033350, 1429467500, 2076301543750, 3101994506362500, 4720201640514937500]]
[1664, 64, [1, 26, 21970, 24562460, 30813606070, 41179303151948, 57280410684359668]]
[1665, 3, [1, 555, 616050, 797784750, 1106926340625, 1597294709521875, 2363996170092375000]]
[1666, 7, [1, 238, 226576, 269625440, 352939700960, 487197963205184, 695718691457002752]]
[1668, 2, [1, 834, 1043334, 1450234260, 2116616902470, 3177465293987964, 4858344434507596956]]
[1672, 4, [1, 418, 436810, 547759740, 744131606790, 1057559839569948, 1547210045290833924]]
[1674, 9, [1, 186, 172980, 203770440, 265309112880, 365171462968032, 520734506192413632]]
[1675, 5, [1, 335, 336675, 413549125, 554155827500, 779697249292500, 1131860506889612500]]
[1676, 2, [1, 838, 1053366, 1471201180, 2157516530470, 3254397934560948, 4999840026797136444]]
[1680, 8, [1, 210, 198450, 236155500, 309954093750, 429596373937500, 616470796600312500]]
[1681, 41, [1, 41, 35301, 40043101, 50894781371, 68860639194963, 96932826440109583]]
[1682, 29, [1, 58, 50460, 57558040, 73444059040, 99678276929088, 140679274839252864]]
[1683, 3, [1, 561, 629442, 823939578, 1155575258145, 1685522071530297, 2521541019009324312]]
[1684, 2, [1, 842, 1063446, 1492369220, 2199006045670, 3332813562817452, 5144753203135873404]]
[1688, 4, [1, 422, 445210, 563635860, 773026581990, 1109138539839252, 1638197623342575204]]
[1690, 13, [1, 130, 118300, 138411000, 179934300000, 247949465400000, 354567735522000000]]
[1692, 6, [1, 282, 278334, 340124148, 455596296246, 642390777706860, 935963363118895020]]
[1694, 11, [1, 154, 142296, 168004144, 219917424496, 304805550351456, 438107177705159424]]
[1696, 16, [1, 106, 95506, 111359996, 144600954806, 199260115722668, 285141225599137908]]
[1700, 10, [1, 170, 158950, 189150500, 249205783750, 347392862547500, 501982686381137500]]
[1701, 81, [1, 21, 18081, 20630421, 26427569301, 36073632095865, 51260631208224165]]
[1704, 4, [1, 426, 453690, 579815820, 802755002790, 1162710346041036, 1733601125947184676]]
[1708, 2, [1, 854, 1093974, 1557089660, 2327070496870, 3577172767788564, 5600660163434295036]]
[1710, 3, [1, 570, 649800, 864234000, 1231533450000, 1825132572900000, 2774201510808000000]]
[1712, 8, [1, 214, 206082, 249908772, 334252982550, 472098912553620, 690365976457576980]]
[1715, 49, [1, 35, 30625, 35371875, 45806578125, 63167271234375, 90645034221328125]]
[1716, 2, [1, 858, 1104246, 1579071780, 2370976277670, 3661735763233548, 5759910355566371004]]
[1719, 3, [1, 573, 656658, 877951746, 1257665876145, 1873670622280821, 2862968710845094488]]
[1720, 4, [1, 430, 462250, 596302500, 833332743750, 1218332471362500, 1833590369400562500]]
[1724, 2, [1, 862, 1114566, 1601259820, 2415500438470, 3747890480330052, 5922916255748258844]]
[1725, 5, [1, 345, 357075, 451699875, 623345827500, 903228104047500, 1350326015551012500]]
[1728, 288, [1, 6, 5202, 6003108, 7789032630, 10776905546868, 15529520893036788]]

0 件のコメント:

コメントを投稿