Statistics

Problem Statement

Definition

Class:

KRectangleIntersection

Method:

maxIntersection

Parameters:

int[], int[], int[], int[], int

Returns:

long

Method signature:

long maxIntersection(int[] xl, int[] yl, int[] xh, int[] yh, int k)

(be sure your method is public)

Constraints

• xl, yl, xh, yh will all have the same number of elements.
• The number of elements in xl will be between 1 and 200, inclusive.
• Each element in xl, yl, xh, yh will be between 1 and 10^9, inclusive.
• For each valid i, xl[i] will be smaller than xh[i] and yl[i] will be smaller than yh[i] .
• k will be between 1 and the number of rectangles, inclusive.

Examples

1. {1, 2, 3}

   {1, 2, 3}

   {10, 9, 8}

   {10, 9, 8}

   2

   Returns: 49

   Three rectangles: one with corners at (1,1) and (10,10), one with corners at (2,2) and (9,9), and one with corners at (3,3) and (8,8). The optimal solution is clearly to take the first two rectangles.

2. {472535635, 143207838, 398752001, 102535995, 309155408, 480522905, 395449443, 331794182, 113194672, 49507477, 397277940, 138748599, 397512329, 41328148, 498876240, 196993133, 233662167, 203385491, 84861337, 321305304, 267828155, 401530676, 195843232, 279205037, 350200721, 237246800, 80970304, 146098455, 346828318, 61718298, 498948344, 372830266, 325788475, 448960428, 413739315, 407631178, 121341221, 237042226, 139898167, 465489501, 50635155, 373896652, 96791958, 121521899, 404338995, 403215683, 307310255, 191401115, 178362166, 190086327, 293732556, 225641521, 448082822, 334434299, 239370548, 231958021, 162108445, 337648455, 53027369, 72931369, 118002411, 274499770, 147842720, 225562148, 296981638, 340741305, 293138071, 228475853, 462386659, 48270520, 434537477, 60289769, 354457562, 372457557, 408910567, 339876115, 180793630, 414936863, 305009901, 217150507, 452386113, 362875678, 217378400, 262307895, 285990366, 352123740, 137785163, 53188718, 42171893, 203824036, 403640164, 80091739, 126987387, 315290468, 185427411, 247182609, 481670731, 17981978, 455516480, 118326450, 450831663, 119959963, 480959752, 107383497, 453946566, 38745783, 228473720, 427160543, 71070965, 302738944, 28145903, 183796107, 476674843, 294382156, 23590585, 106310099, 394731197, 361623543, 297979351, 228477093, 203202975, 456319245, 72114904, 253358368, 355886010, 308688062, 134099260, 87530367, 57457892, 359657245, 166486282, 206647993, 348606996, 434856850, 373096153, 482868201, 15347659, 303456428, 276754223, 88317189, 6376248, 381130480, 95539932, 43191373, 314592521, 194013346, 168860400, 298281296, 240680858, 366596190, 300669805, 210681668, 300524163, 399257449, 452184811, 171359158, 301295711, 111084332, 11719570, 84225979, 75542812, 174316733, 380392921, 385661306, 264352232, 418806122, 235919357, 252371649, 49768512, 453041164, 32704572, 249796148, 61126743, 320466066, 256776654, 304845871, 207839465, 70697586, 394152117, 208848372, 69741392, 50104816, 121622606, 221664872, 283402014, 448046360, 494270191, 211997053, 178252876, 176274158, 69233838, 100230157, 249519446, 2702332, 274676247, 86645272, 294791803, 8506842, 429880170, 245620304}

   {477991443, 243627619, 109230682, 120540067, 227428744, 108477690, 316741572, 451491323, 453485043, 220885254, 352733764, 487047673, 117224300, 264761382, 221483950, 242238484, 325195622, 28763709, 378520649, 345703752, 421403375, 154358307, 145020384, 169266140, 391798484, 435797539, 316435969, 72652832, 260855641, 396758697, 475564245, 83151445, 391360627, 374452820, 245807971, 138448318, 55815680, 347343581, 486540974, 343970144, 105300183, 359262402, 57783760, 54600077, 220827786, 163656379, 131879946, 172636016, 373536969, 103327658, 272800707, 112131602, 430991672, 220316833, 438279861, 214884322, 146834705, 224745081, 74038261, 342990462, 389267363, 249251926, 183205530, 137796188, 10211765, 87705690, 64447925, 297130204, 402903447, 296034922, 382560012, 145700173, 389276884, 350840743, 261480191, 136900267, 210551721, 59201858, 167626458, 496301399, 81214812, 466742933, 272692575, 370013286, 404803256, 34089689, 298028228, 182031465, 129848226, 466722058, 118272948, 29952414, 180488154, 336827240, 418933198, 469194971, 342109413, 137003161, 413527734, 373732272, 323119124, 493319977, 72082328, 450729318, 476290812, 266511625, 347630195, 389262427, 321737618, 456690321, 27415601, 254129876, 157640935, 1247598, 322473150, 376692859, 258100001, 480674702, 98612175, 439080233, 262215581, 93598596, 92616325, 23676951, 449966756, 340898542, 176779530, 438538742, 399079842, 200128210, 135408225, 375044887, 498366403, 418472710, 353101388, 482372517, 382864656, 228203715, 150277265, 441326581, 309989258, 119165423, 261197759, 130404575, 161351428, 260592249, 251227871, 119572761, 60146810, 383944892, 336174424, 383635612, 12338699, 359998406, 257233156, 234431187, 496214900, 389988423, 393645827, 87549104, 107241038, 354109537, 182826938, 247023027, 444411891, 259902381, 383210724, 173308135, 244976810, 441096165, 192189850, 154881720, 13297923, 314797738, 231865243, 160561781, 211155875, 231380078, 342957692, 153553526, 92525919, 448304801, 85000606, 58865587, 445825951, 149194671, 17140187, 408822417, 167508656, 150013100, 56120674, 231294388, 366929635, 121471054, 498718853, 366586953, 408750052, 315476951, 319837920, 52920482}

   {715281533, 998089127, 897824070, 893221920, 807408265, 967241253, 606014099, 885775069, 850827380, 901175441, 603655675, 921256453, 963673331, 987502872, 545575928, 983156896, 815895529, 962718280, 671734319, 553164163, 872544123, 886950283, 880253305, 859917430, 864384988, 764698898, 951238642, 974248839, 562927000, 639838147, 792183580, 619000273, 712433085, 662741207, 938070525, 880882771, 745232512, 712486679, 906407820, 919317000, 707711557, 944695867, 615994101, 566861452, 528638606, 526332838, 834265076, 680704156, 620705480, 901514096, 748199936, 966011724, 772752316, 939241929, 899322156, 635167374, 568274621, 751962886, 774945808, 999515401, 785698183, 901151750, 544035556, 634057757, 586228626, 829429900, 762139477, 860209708, 652440947, 993602065, 826922905, 846383473, 969138159, 584022827, 633665484, 640067518, 642439632, 816632944, 717830514, 696146186, 758349487, 882145384, 861846455, 536706437, 876162312, 552752032, 560701670, 674834912, 950054039, 833120251, 995675364, 526443020, 538096227, 868375382, 576554741, 547886307, 572190680, 732613607, 550394555, 540681097, 852366157, 820263708, 819318150, 735797864, 956601513, 818744797, 541510630, 916590859, 719712383, 974332740, 701057163, 704923827, 782417933, 572132458, 555494417, 722171224, 712947309, 578212448, 801477581, 795987028, 811955224, 693903566, 801495541, 601350063, 651841055, 880058303, 851210371, 967304375, 706370551, 533830524, 630234965, 885844936, 920997533, 961161379, 519240933, 576232524, 776984562, 707613261, 813794780, 545345683, 756079828, 848967653, 598381145, 563377841, 909456039, 572604605, 500109462, 768722684, 678388830, 528573041, 988608537, 647351695, 753842673, 527677587, 757233802, 659910967, 818691173, 939664485, 840316600, 519496609, 576706105, 918423073, 721074338, 592102811, 693398752, 697040371, 587408099, 653148876, 758144860, 924702983, 994836465, 771031114, 786961949, 889610193, 559961393, 525542444, 884342992, 748455752, 742827049, 788567745, 581485946, 567256765, 625834692, 503738937, 699083268, 545204582, 695715800, 997980074, 831290273, 693539583, 596078236, 961391721, 917999938, 989684305, 905103031, 988016011, 521968142, 545731762, 992246701, 919869754}

   {576156674, 836331805, 925421192, 527316926, 890731494, 746885414, 723701804, 874363806, 907469654, 763382696, 770315056, 682100989, 809008302, 518645561, 927647837, 884266949, 735088997, 795122834, 709749415, 805096617, 586753315, 786276773, 873421194, 802028650, 582491923, 556321771, 680646953, 940786099, 641393108, 900655932, 795288523, 740315744, 867795400, 915143873, 589713044, 778598016, 763991631, 511387105, 542001046, 796055030, 708129595, 566047027, 717984741, 828857822, 973516538, 811819717, 821036429, 552005263, 845200557, 730661549, 653359915, 924706698, 537750376, 653129371, 868414089, 981178786, 729416256, 632900046, 741273915, 786607731, 849095348, 958830930, 838315835, 501803587, 799577194, 881541936, 920129724, 565041542, 816743836, 739050110, 656965680, 759526259, 686859289, 693021406, 542133735, 867442478, 623515141, 578938261, 579581891, 861983208, 642484525, 839757275, 593417569, 955046444, 757454419, 973214303, 650069526, 527473615, 504325990, 968700359, 714933848, 653426759, 571885755, 717537382, 713101197, 982536559, 857248831, 980148983, 833569225, 723479991, 739294156, 667237594, 644200910, 804012794, 989805925, 921534813, 939464287, 576930787, 542985601, 701137445, 573086154, 945429218, 843709062, 694218506, 730070674, 704833621, 659215068, 729125565, 906023019, 718319680, 801433585, 893252674, 958601815, 561750882, 810100244, 765434198, 589476200, 843822074, 716874457, 637614137, 986335152, 555047637, 967504387, 976502919, 838539406, 690203459, 988509362, 865904465, 722751789, 783704623, 851662284, 824971301, 619903687, 660782966, 539292077, 878754265, 933471526, 802287729, 503657933, 857644409, 700125794, 924105809, 748427196, 670617785, 879445971, 749269717, 697891899, 720091734, 607327157, 916312285, 852007544, 501250528, 668141357, 793966685, 845616954, 809374484, 766392385, 990520359, 856163145, 812400262, 577092030, 679130380, 630139880, 975593744, 633714287, 607257490, 963649772, 985267746, 839424686, 891471126, 867401767, 948170312, 774723616, 928213432, 584492400, 622326227, 820357954, 851567755, 561878767, 954305785, 864023607, 711640235, 842235422, 693797916, 529888698, 617116334, 875588858, 771352873, 671176376, 530344546}

   149

   Returns: 9941736382413940

3. {466751629, 206188687, 62170174, 231920605, 90139982, 355057488, 3640329, 38859891, 207426137, 241611367, 157653990, 400041000, 125998474, 497656877, 460085274, 220646797, 263104212, 336409257, 301266960, 485836900, 58129186, 170579369, 102951016, 325543677, 408963789, 409871082, 232783893, 248802898, 385904661, 378675643, 223935141, 100273883, 186658174, 384779682, 140096562, 421458451, 272502782, 170407525, 422844191, 264484201, 426687030, 355907904, 360995187, 46382372, 255116735, 213492833, 227552264, 469121040, 211364959, 204653304, 280858874, 2435349, 416928112, 187914855, 215180479, 227898425, 166416421, 386060307, 61303340, 423470527, 326098244, 332802018, 51053041, 248302686, 420214762, 99429531, 70208477, 59626213, 192033556, 255436616, 373842364, 80543877, 39152188, 474559497, 273797242, 183886366, 397804248, 85348285, 326581131, 273986162, 441436194, 189933214, 140778504, 312890754, 341158748, 224359715, 161382212, 338560560, 69276170, 124437731, 195859835, 297084486, 284349884, 273886037, 253091985, 498699207, 141768050, 244286769, 30363869, 7685327, 457294738, 381466364, 283123999, 15029304, 49620405, 178131917, 323888722, 134088264, 434328818, 134020808, 346520478, 233702026, 340836128, 225854277, 24086073, 263051122, 166759223, 109885870, 61514830, 128245868, 193327083, 9799240, 406605805, 408458159, 224011132, 220609131, 172407948, 46049189, 245799385, 151908692, 43480402, 139988395, 230866799, 474634635, 286710223, 389342367, 451757731, 389237264, 395156699, 41710552, 336724937, 208221013, 135012067, 278206642, 204043631, 428567678, 321341357, 202492173, 104147592, 361983234, 8750511, 295987187, 461791084, 206254011, 282187543, 271277938, 383552203, 13806363, 146157938, 318832372, 61740946, 148260310, 437502647, 253704866, 497480342, 237139944, 281891440, 478400566, 10474313, 347674348, 243895797, 284380963, 153783569, 310818037, 352546595, 446012587, 144814092, 285354771, 400686199, 413329717, 254435366, 157778924, 258316299, 198782277, 456954029, 88737677, 456363750, 494218786, 404931289, 40020785, 199654702, 429169381, 33940537, 477985704, 499449237, 17688120, 116278658, 315266929, 108429317, 298789910}

   {334521997, 205600524, 46716530, 165996846, 326269169, 495176838, 51430528, 320519043, 241071131, 313146607, 367051928, 10832146, 14037642, 440142663, 391966942, 127242598, 285560109, 435890961, 184997408, 102702959, 407412533, 412298105, 61467499, 207198172, 313343506, 82985980, 77003279, 488027769, 428176769, 181202006, 195474864, 40256008, 367642908, 126507994, 159163628, 359092360, 67376769, 44881648, 273953017, 252879647, 400284464, 360530723, 226212444, 127586791, 354244323, 130700315, 438890364, 356466252, 290286877, 235599072, 29668019, 358634870, 43071468, 217948645, 331351568, 277068701, 263029078, 279190685, 490834138, 110455896, 113608295, 51072861, 141074503, 135361690, 336681013, 451390326, 47359770, 194492340, 486328651, 442888922, 450342171, 286144446, 379172876, 55979629, 198200492, 165786289, 95201914, 25041172, 473138961, 329563705, 178611328, 471539687, 410775655, 131515798, 162306121, 430635895, 131614956, 251883931, 116223323, 478891428, 289081204, 3407026, 62280090, 308513388, 32809680, 208764854, 153759053, 66790866, 43699133, 30727047, 195411457, 456173925, 246045380, 221085798, 137619019, 46048851, 386983687, 369735028, 174944191, 44960705, 399685845, 93608584, 82763979, 180192201, 380558401, 453091448, 381102110, 360629321, 436130514, 485298089, 427916595, 22870612, 112681382, 445323797, 173576620, 222509100, 90566585, 213549829, 277255796, 209661188, 487179498, 161854464, 302583139, 483448796, 50856751, 267449789, 220290664, 407986131, 124827978, 295107952, 437039639, 378038029, 81292126, 446453800, 25203683, 447550950, 165967071, 451610657, 494016155, 47161268, 176840528, 38793671, 119072117, 422142806, 368153524, 465951681, 411739568, 12285848, 288587803, 138252816, 80230720, 463234288, 272159325, 219446635, 262886815, 10886529, 105871014, 188598368, 374061426, 422248991, 121634597, 229975914, 119046717, 97668861, 27119297, 58681100, 197400596, 273524789, 378767507, 402317054, 297273755, 410337769, 396526917, 159330221, 378778965, 69729099, 115477691, 5545614, 235125241, 245588165, 47245064, 185292855, 200214356, 20827147, 261476386, 460224257, 26741236, 293513824, 315320532, 418786088}

   {500202417, 941067019, 960027121, 959354410, 689075277, 610460435, 515478286, 555474462, 929117960, 867189693, 697203626, 601423704, 812328305, 507670438, 599562641, 924924391, 769354363, 646920451, 931985139, 613231422, 713326110, 888506580, 604415831, 750267605, 558391872, 533594218, 949044755, 868347439, 607817999, 611816839, 553249800, 683619944, 514432805, 560760344, 533662768, 526675998, 545600677, 980802122, 522299746, 827361960, 505442175, 750403808, 798541011, 938916509, 733422039, 734605134, 520074730, 741914670, 530633545, 584100187, 799039350, 506347590, 551469738, 577695982, 904762323, 993065049, 967418998, 879407369, 609523151, 766570780, 993905603, 700809010, 801480529, 919228677, 659473310, 856513483, 678478503, 757252178, 558078107, 833667027, 674121289, 503363383, 575095990, 568998228, 668154229, 896689524, 952541897, 700608529, 818457506, 969567942, 507222750, 901927000, 683566850, 556558367, 675363473, 823168428, 766743463, 562992767, 701920589, 927380472, 688344593, 941818118, 621499701, 760217935, 733433384, 860834550, 950375302, 655602691, 985206657, 600734973, 860678656, 917213611, 896429036, 583515713, 656287548, 731631539, 534665151, 897210788, 989190687, 900074601, 608866149, 540680776, 871497769, 906494355, 960778733, 586108320, 963781208, 779648886, 936410617, 524547732, 870843246, 702628199, 900355016, 760479154, 838067480, 590329908, 923278344, 989145613, 850286756, 937393059, 863862473, 989135085, 556111709, 616811491, 964750284, 983679032, 646565580, 773446402, 923694153, 815373306, 549398527, 738281352, 946239022, 706241850, 598507121, 575691628, 840942307, 643153074, 739753967, 838094291, 731278683, 941553947, 562729065, 507156879, 551424657, 562855332, 640526117, 739094114, 518513049, 539229533, 600003601, 847771429, 973649418, 753310902, 974768369, 659484968, 937216279, 714451816, 651885971, 893966125, 522802889, 723174689, 635025587, 969025305, 837161875, 894342096, 949630036, 636233784, 962540299, 967722426, 702581413, 681638802, 792625960, 616583497, 919845435, 711426856, 888423946, 510623141, 924678010, 868444665, 649945482, 731050123, 523304027, 806162677, 991818172, 999621540, 995745108, 738667745, 752101401, 925708737}

   {565662804, 870475021, 918414241, 941858727, 941465702, 800069104, 853588428, 596829633, 859135629, 781771563, 865932572, 613364732, 766901072, 783525228, 803717932, 609904206, 591648653, 930390953, 781377355, 676181927, 562907882, 735849786, 753270497, 700077428, 728282660, 739529023, 554505127, 689077837, 652557299, 760931891, 522288627, 685308223, 780846788, 532745702, 647582120, 501704561, 762746464, 728123317, 923173177, 601398154, 719834859, 688172621, 628316066, 606851892, 732994868, 660840422, 614311596, 810610903, 806019444, 584876397, 957059180, 781439004, 656333038, 601203341, 902666111, 515267209, 713410800, 835932489, 703252781, 867616900, 754463907, 822062016, 690158512, 902165474, 714937961, 587677565, 666743661, 720606254, 666852388, 841535126, 582249052, 796326119, 925307441, 768465848, 537771854, 985622272, 614849261, 937733176, 973456784, 773860373, 779861605, 572779620, 897164552, 626794898, 755985710, 666579717, 675586938, 608987712, 865758213, 845928653, 662978937, 608021619, 735863457, 608017945, 780325232, 503587594, 812470039, 578296296, 718156067, 692658018, 969446504, 911359832, 825256211, 730068509, 516544441, 819105176, 559996292, 901578832, 907444677, 989237135, 924771389, 721571105, 820675243, 954542342, 657009926, 586419900, 612262857, 770613709, 912987616, 589915161, 764533475, 723188496, 853996166, 606058099, 959575346, 937907687, 937150149, 935701445, 881742731, 737171269, 800245551, 788129421, 562613391, 747759948, 921978466, 861533397, 913357479, 694491085, 831453665, 958193230, 648065116, 901167665, 646422340, 938926248, 961431149, 811373530, 632905483, 807370286, 700517174, 602528767, 568408137, 964742471, 697092667, 872535902, 748310260, 950668209, 969342970, 910943262, 858850397, 722159425, 738747151, 673110938, 840038970, 878514127, 971178276, 631346110, 805748846, 559933325, 501280999, 894420851, 926568808, 727060965, 994886969, 665578535, 910972959, 565801322, 827379913, 876325100, 882647753, 725577994, 815372121, 807181263, 566526201, 943296172, 562110711, 903143454, 522382291, 739009884, 956217355, 675002923, 990351527, 964893160, 949949719, 793286398, 909785839, 866293499, 676472125, 639120109, 757590909, 600809446}

   20

   Returns: 287923919236404640

4. {443620804, 186189471, 262865362, 124576514, 142171427, 96763365, 382017322, 254611999, 15696872, 398502932, 10876402, 439379407, 287944037, 8436949, 42283003, 497386563, 329724026, 49066309, 475816803, 115102349, 461916433, 194793449, 105019526, 237404211, 381623584, 82579178, 155250004, 371092967, 496054795, 391764176, 311725078, 163904862, 362048119, 429607633, 289824114, 368967147, 241829970, 182935898, 61781426, 264746047, 421901855, 267573753, 97116463, 411926055, 221167246, 158315758, 283010776, 9628760, 401456248, 417137999, 218642141, 395917097, 324285207, 379965892, 290436182, 59339565, 81022074, 364002068, 301817657, 153770325, 467126591, 294945061, 224073595, 204524635, 231626292, 346575067, 389483806, 364187758, 467315785, 365057827, 2843878, 41407430, 437489874, 96802667, 415633139, 358915981, 443142221, 1322624, 131364123, 308715699, 200025923, 264485118, 161495451, 61247983, 482673429, 276546153, 268112575, 173610368, 324465131, 231227934, 439913357, 350829076, 414024117, 302469186, 181322743, 281775912, 58940380, 293545813, 416944107, 368243195, 610042, 399527952, 197136125, 196508122, 441230505, 417073867, 383604953, 18917525, 2828293, 492439884, 103515518, 495179329, 91607773, 209600142, 53148616, 1068318, 73684375, 209822425, 9355140, 322280293, 438194115, 301861930, 106012297, 10420823, 156144765, 291820589, 6151143, 81963564, 205955848, 113865648, 172249705, 199523228, 346477487, 251295432, 74370638, 172208278, 367769881, 270620592, 49747863, 496270257, 404413499, 79626677, 276594959, 291752989, 193946547, 116729953, 151681304, 196745532, 149637123, 378865831, 323621485, 127556117, 407265178, 423235523, 334488050, 242188586, 211212057, 242918662, 188868198, 178186433, 84433727, 62719966, 396614674, 242145789, 163934006, 148527067, 415701223, 2482798, 180269832, 311830646, 2412723, 91342344, 297925865, 162467002, 99739056, 48677687, 99274541, 290125886, 247264715, 219761852, 37335608, 235356738, 293423280, 10768891, 374068789, 146869089, 450648128, 29079342, 20780922, 113514784, 364398043, 426079686, 311754732, 332854515, 155586572, 154352682, 371018722, 84147782, 130169166, 390082446}

   {409639394, 30386835, 99791750, 346993531, 8717219, 187114293, 171034895, 474480067, 252957208, 193090781, 93515650, 200213905, 308518938, 6934603, 481305772, 169839811, 193543430, 306360141, 396722302, 195966434, 280991145, 324252572, 463549381, 360376261, 45661360, 255914248, 223439974, 211468471, 188141526, 126756434, 277793656, 229182756, 292745301, 338501499, 201485747, 51618017, 394290432, 22560812, 258067658, 440551215, 200687218, 181033506, 440229676, 419818228, 287430005, 158349474, 469692161, 379836365, 261825799, 349746011, 159563948, 434418939, 32642377, 306204069, 247941593, 355747291, 469715131, 146818036, 431914138, 21931928, 79503646, 416943082, 437630598, 74259132, 188997693, 47580656, 254232782, 489125874, 304775841, 256766286, 263229832, 412456508, 180049656, 370476448, 329120736, 425346063, 305807241, 279091987, 391534957, 13784625, 146451314, 155033730, 294023605, 269416351, 76856498, 302349835, 370602889, 420115798, 228229257, 342955566, 427581021, 142179219, 91560197, 318322632, 215582366, 403033808, 473512267, 81512580, 435741643, 52091556, 420020235, 50779047, 139954131, 19528806, 468941258, 44185404, 328063941, 483744340, 42686819, 446093246, 334771554, 153606942, 77982918, 478116592, 62867331, 179636238, 252812291, 64410561, 27290969, 193082661, 140494163, 367188572, 236650347, 117697229, 202795837, 401829297, 295938183, 299905338, 408175413, 434483730, 358592554, 381066464, 162206507, 1587432, 119795253, 143953, 293339444, 116098006, 52581237, 149178002, 90498172, 400740070, 474954972, 447215316, 335086872, 214958329, 239582552, 233191626, 28552724, 316382337, 460070066, 461505390, 11052291, 253890074, 481129940, 279212701, 366267145, 333657150, 204475376, 445740654, 321469660, 40438040, 56288122, 122764166, 374744873, 156040034, 62697993, 29351203, 482093449, 102868531, 24154689, 466400155, 178747591, 51548434, 421153871, 474493512, 218896569, 450622800, 123299959, 26464886, 499905617, 287238977, 231783899, 325279738, 410365641, 248583143, 469019626, 75540856, 366903952, 233747077, 372793195, 241587280, 197183182, 375135100, 258826409, 362002970, 34213810, 330578502, 348008028, 90143355}

   {989273589, 771476749, 817557935, 927316794, 516394216, 967133820, 816140494, 672926786, 708329069, 897554898, 533492022, 928546099, 779657994, 742570811, 817644243, 921530863, 531041059, 671873921, 913568920, 711407741, 908736625, 842188083, 828194199, 946760527, 846200662, 876904047, 532443541, 666846877, 894024774, 648164192, 631317708, 955224528, 730534408, 882176439, 943698358, 594733993, 927904738, 795683653, 635806375, 570149626, 751695246, 774747184, 732854516, 899035572, 833917442, 913770556, 731320143, 649070216, 580730610, 821323839, 934058842, 608874847, 637110903, 528423642, 620924584, 987055879, 858648649, 602109771, 889055437, 524884125, 982109544, 571217692, 681335833, 730969495, 875120324, 908267810, 715261460, 536253445, 944800612, 617646350, 930800041, 573077705, 655674599, 693483870, 611193084, 721736213, 771031715, 817142911, 550661853, 964882408, 710457650, 822161374, 902000624, 931318781, 738289109, 933591839, 668527032, 683800253, 747700798, 830420953, 649884666, 965949079, 859783492, 754765912, 941574671, 513624366, 587179816, 584083374, 850558885, 952362011, 507833751, 891039113, 549978216, 799627398, 573093986, 799295592, 975930594, 695097807, 529073983, 695082563, 719987569, 948782784, 588976665, 627539786, 988349342, 690377406, 882069935, 775093770, 720136069, 981784859, 702832932, 605394395, 514990470, 614443360, 804457551, 983324258, 510871634, 910589025, 863221341, 501114092, 738549823, 848676811, 654903183, 863953472, 966271130, 543666570, 732015099, 815609298, 932779654, 559734918, 991762480, 814352665, 749724606, 905953654, 894327191, 549911793, 621385017, 653555276, 848511617, 765002647, 646647679, 623822451, 955369218, 822558831, 581475598, 563130921, 710806447, 689388308, 542118810, 621710187, 707623748, 578674937, 945768393, 723157529, 636731041, 647159673, 752225880, 610395833, 785752203, 993351597, 838793315, 704472283, 530131305, 505037353, 671868431, 665565172, 894678657, 871720987, 867760748, 944908530, 519672136, 648468594, 836212847, 980789015, 848324552, 524051147, 845544920, 759106181, 584144703, 982883159, 746246574, 754515651, 538641170, 807758659, 763138705, 543885680, 642241677, 553542809, 557444924, 846225323}

   {728827638, 758604316, 960658150, 576852635, 616430884, 754725466, 505332457, 799496582, 579540016, 678375013, 950379055, 814857937, 809666572, 621811216, 720796666, 604195510, 992165387, 531729433, 856111505, 629247494, 719717082, 516876090, 964600069, 700479771, 676816017, 534366646, 770425633, 558659740, 799519163, 590386521, 879365135, 900327099, 621026129, 600714269, 602651041, 712002433, 739793876, 772429308, 770216906, 671806935, 965610929, 989569391, 902509046, 763561469, 998216234, 837760131, 915497299, 583774566, 551563364, 547913823, 974031425, 769858371, 645436919, 725571840, 958507381, 654310131, 765615176, 782905139, 812489168, 524484088, 669285198, 872791689, 622895648, 596018743, 512870218, 766906954, 561266323, 697191654, 687842664, 769328523, 765235093, 974571071, 661817877, 934681276, 692848813, 954675876, 507110167, 862465851, 855018310, 612307475, 867811424, 578082505, 575202233, 585740294, 808082200, 873008728, 791381673, 621406470, 891569329, 648707705, 709362070, 706995831, 611384059, 909924596, 909725896, 548160861, 600544185, 792716349, 898931186, 760873893, 750592485, 570938769, 787673557, 654747935, 870557368, 931829183, 567903263, 698330162, 793810583, 556983162, 945255193, 772345417, 937944457, 518143889, 903966280, 942734051, 979605269, 854259554, 542232489, 762175035, 635538999, 745424633, 823664064, 740861894, 837709387, 777996838, 587745494, 638557415, 777934129, 890443831, 994809265, 588711608, 829144471, 677916758, 704118968, 789450600, 579369622, 503608111, 949609667, 642496982, 830610418, 822331432, 710410758, 693488812, 774502621, 569497684, 791141692, 839377413, 620234468, 550483549, 572658431, 708437522, 809415866, 660450704, 985813708, 524374082, 902458051, 666983860, 639567599, 618785593, 585547304, 810129471, 541681148, 766649619, 876569377, 560255948, 989841092, 855482950, 713572657, 550917556, 812678290, 507954139, 730772933, 955375824, 811666853, 816501227, 648283206, 994696197, 828079106, 789560161, 710859037, 833857086, 836252277, 566693186, 571971954, 642643148, 939794314, 585387062, 873435414, 594438310, 781560728, 804923259, 635991123, 908281434, 687287674, 605797991, 911632894, 872076024, 563992461, 931613898}

   47

   Returns: 100001925791439875

5. {320920798, 495463952, 35098726, 290600698, 22375248, 473542070, 474700709, 54296808, 250088737, 109634644, 204790310, 300059055, 136196784, 137753298, 302451715, 472174608, 245122561, 169001163, 116994771, 85719660, 170223197, 292076894, 236001306, 323159480, 55255483, 328904394, 413380953, 308754536, 47825325, 486250202, 210841427, 41287200, 62374926, 1207991, 159905585, 112481099, 341477313, 225748085, 423276157, 253863340, 101207039, 444613742, 349387731, 302382302, 22098797, 403186293, 482807683, 253962358, 48938700, 134743136, 423123248, 486026529, 34305950, 338417335, 270876809, 404925892, 134774758, 252395614, 122989077, 161059009, 146374542, 281842865, 43770100, 199446582, 472603788, 442732384, 198284066, 88922659, 181711460, 183045117, 382627608, 354454571, 382188203, 132226228, 70039657, 127563201, 381553782, 113640608, 351754583, 86746491, 1693757, 147115769, 44991841, 214332466, 2702679, 64191485, 321843905, 85819641, 47198306, 53491511, 117043046, 321707132, 90039805, 93107030, 431357599, 473079198, 1330936, 100774697, 86071605, 193810065, 452755904, 169348891, 278993941, 175921406, 368702796, 367608305, 173640235, 382734718, 453764630, 319126825, 69781226, 50872839, 20105915, 54208258, 39769747, 346501552, 203254871, 373047754, 293143521, 455392996, 284293906, 395426072, 78416018, 127429683, 397497709, 161520692, 55456761, 361938204, 207549472, 51332132, 86077087, 237313393, 4838932, 464077113, 50345611, 274616116, 354747395, 107473987, 421904170, 168177004, 328805170, 195757572, 203040781, 381494432, 353355893, 250514637, 56188405, 341154043, 261780595, 358837876, 236686792, 124694650, 439290870, 311296986, 426797998, 142864392, 24472644, 262793818, 163842613, 289050935, 357477820, 499101794, 3564922, 61881511, 247206060, 407124001, 336559540, 119932587, 371607742, 366170087, 158860514, 442421545, 171797555, 416033240, 310735914, 384344475, 247051350, 123758020, 65709061, 480774141, 31331411, 403077960, 373760118, 238994490, 303270743, 394041435, 147437043, 374213936, 303462319, 405190914, 249343491, 308920539, 441533782, 173211494, 293264427, 108736309, 228299303, 282384308, 261134785, 230058526}

   {351371751, 17367133, 1282493, 85075455, 296663804, 493385240, 156206835, 356808490, 358004256, 435529848, 401432224, 178300157, 220634686, 340655906, 121585429, 289794577, 253231515, 300031342, 348794647, 239136488, 412023930, 481498207, 323282674, 89208353, 89586160, 122668583, 38976374, 158524849, 431857206, 374248771, 297071780, 4226499, 113868469, 144703512, 128291709, 92687815, 253896443, 3307483, 406579119, 319904273, 433310856, 30965500, 479440679, 462578177, 139306692, 254745849, 330043228, 156757790, 37508819, 304658001, 189875752, 473135957, 397009828, 346695739, 55772474, 71351182, 397236736, 53939299, 209533685, 416973715, 473152729, 175769515, 339478045, 456811130, 315182777, 245055044, 368552444, 317269045, 457915761, 239739966, 124644865, 343383671, 302537682, 425501668, 90557691, 206590718, 152412994, 438136866, 415552600, 122162236, 66678572, 364613240, 7226083, 319251005, 199020148, 101605841, 351541220, 354505222, 8524267, 62942526, 334155086, 346467007, 179757903, 81436998, 189241704, 152140343, 325812322, 13742841, 141331801, 384145442, 63933598, 287396747, 243180427, 370907902, 73080482, 280696199, 430883770, 314612107, 245270688, 386503681, 425293070, 270183401, 386468695, 156024205, 311012724, 388219795, 57754459, 279450137, 191898143, 222439233, 14421649, 187164203, 179040406, 9644169, 286674786, 290320795, 171165034, 70086636, 358595977, 85604978, 156071797, 341164167, 399866432, 186837751, 4598301, 69000461, 362255066, 483433391, 142675874, 27811288, 88350916, 257228936, 200548701, 445218531, 384533548, 192496783, 17319100, 87143765, 491978170, 159109122, 226565805, 193171364, 478485302, 12782013, 278075287, 122362195, 357144980, 363642866, 79079350, 49745243, 92065034, 317963843, 166518919, 73558203, 436255378, 160091244, 171920030, 79557077, 486504285, 368575674, 230079856, 278718594, 297578143, 453732723, 153478773, 78771095, 198641749, 425444410, 300312113, 305511531, 23967839, 113802926, 61211692, 460676449, 46854923, 377318643, 93748179, 460060475, 437990841, 156069034, 90058218, 448084967, 216354019, 472758444, 152391131, 80076776, 118552294, 240654762, 349147560, 28843179}

   {926360800, 547756305, 814306731, 575691357, 823083905, 535020696, 594112311, 838766718, 554323421, 834729745, 809852391, 859833547, 506697709, 976533507, 800765381, 680614588, 665418261, 779187375, 567271639, 889798338, 989908116, 817762563, 960060828, 755504002, 808712686, 684644736, 981498119, 728781569, 750071076, 546818238, 596535624, 617692257, 500273358, 527022708, 511920431, 790581071, 782030599, 729111071, 827831203, 915053463, 877689472, 792111251, 575503628, 949237772, 909007298, 873056921, 753306440, 571213131, 766346935, 548043733, 534842247, 939296900, 775576368, 867041772, 774644408, 972007129, 904904449, 558085065, 508298090, 722217177, 627283915, 542323739, 974084554, 770272090, 628891881, 985106689, 546779001, 772849951, 663948406, 829310247, 598409185, 510392738, 524791993, 827091158, 966870684, 772954703, 785272216, 578296699, 906382420, 668284560, 734384198, 618082526, 782446914, 926559819, 555683920, 520650101, 922043867, 750547478, 935247722, 865021085, 544658893, 840100372, 670921180, 604774893, 522589391, 786654077, 712621103, 816234835, 980509547, 987018908, 868569527, 672202790, 587086351, 500382772, 769455670, 621863222, 745245937, 827085719, 862481827, 721765559, 764446897, 576749493, 980116725, 672929277, 585243324, 989038665, 530179770, 862754125, 947152243, 514931606, 894262662, 838907378, 608210996, 512454354, 695651177, 675571607, 913215743, 720022046, 598200990, 625140954, 725079141, 766695290, 738735952, 705750831, 675602093, 561929489, 820448579, 870753011, 772993083, 956472556, 693668023, 657463551, 961832433, 738656605, 923299601, 704912737, 578633043, 893351386, 582720521, 871912693, 714414337, 700798977, 988808274, 576232995, 872500698, 735809430, 891747785, 555592091, 947635194, 501021536, 628295505, 526926702, 807026794, 929252522, 652358335, 867322851, 525588318, 837771193, 549940642, 776269593, 934776889, 577506904, 802944698, 913052328, 515642101, 705111762, 639892465, 631905935, 681186771, 979649230, 981302887, 934428586, 774693508, 862433275, 530064455, 880138801, 811521997, 919850298, 652507359, 752782949, 941831882, 718718539, 918438646, 767922248, 991035989, 517917978, 693079109, 720627054, 927356232, 795448327}

   {727125718, 642099771, 865693149, 974694401, 528867676, 647320870, 769175766, 940588872, 620411033, 785798579, 924683706, 552288138, 604861289, 530272558, 932025016, 726664938, 769150535, 673495211, 730120473, 653332304, 538067751, 839436783, 564118779, 757103773, 509498962, 703540759, 933430645, 752700184, 932168350, 912472702, 611398148, 504840637, 897853290, 545570726, 511294548, 758195225, 880355296, 690767475, 655600567, 616075715, 941139889, 786070871, 508025797, 724574758, 967805333, 830636921, 847320465, 823502878, 570498557, 877180793, 985148421, 740544451, 799298392, 689900492, 700061553, 774553508, 695760546, 767145798, 582404106, 858168450, 752032950, 702530976, 833828778, 953161501, 546407716, 656043619, 685485863, 916046093, 804684232, 760114470, 629788354, 640988263, 788788623, 692749320, 952070170, 988328874, 715972816, 888064224, 771909934, 951558243, 765186314, 661274801, 722418792, 707069444, 882010114, 674354791, 726956911, 970536874, 801556535, 514000567, 911689207, 873277931, 590873348, 921141234, 801803698, 654434921, 766071498, 868534868, 535488273, 660075809, 929746238, 840817061, 749422012, 725720171, 753804007, 729058788, 864449699, 574334642, 561423241, 670249315, 828784850, 712806760, 598011110, 901413337, 603209321, 801965246, 685131698, 604142538, 943862524, 915946818, 862480366, 997168329, 910272125, 659297205, 712742224, 829055835, 528523248, 711513125, 701375080, 626855250, 978310401, 594642949, 786950189, 806847896, 668325049, 694987077, 620921566, 850234443, 813971023, 549929881, 900613987, 705582577, 897411989, 968710291, 865945435, 625291324, 950014964, 869326939, 535975665, 955433671, 589016493, 776747039, 575865313, 706557858, 601540965, 695963376, 726955936, 632281919, 819233990, 520039488, 729378719, 670769077, 977238837, 976823371, 680657761, 942023688, 749871558, 968441214, 865002246, 518177126, 777858719, 746114919, 982206924, 905321204, 507548540, 808630359, 967152002, 921598318, 715929008, 594334049, 629410919, 893810313, 902181055, 778178949, 883016242, 927068712, 965979451, 599951954, 700037826, 797887789, 531899982, 958552540, 635193828, 740974503, 898362880, 577507177, 810580140, 767907439, 931012067, 520282349}

   136

   Returns: 15967958020359684

6. {71746646, 481004394, 245634472, 444576009, 99799781, 173090115, 301932788, 142919397, 435085416, 228591484, 390322767, 176952677, 82691525, 12723237, 126006855, 266994995, 389733973, 482899275, 255286790, 117645006, 21088162, 289377261, 418777611, 418691491, 395070368, 203575336, 157868481, 488606935, 233267651, 429697015, 375789351, 220796909, 118929042, 428182148, 136055940, 114571989, 225296610, 168271567, 285162668, 58549407, 65699349, 276685457, 212247574, 188985311, 439805658, 166192598, 183302563, 92894730, 19983698, 356249783, 393534011, 59353193, 113564645, 133786849, 155501718, 328626796, 298915212, 208114280, 24875865, 422899281, 54707954, 182209040, 288168580, 43478829, 91879678, 456541811, 411325611, 138480337, 331663487, 414054331, 313703563, 263732932, 39076447, 100685847, 298383, 331853203, 452365132, 340939550, 365771202, 352950242, 31130242, 148496720, 405264981, 62116794, 12237915, 69278209, 49194723, 170263819, 326140180, 473512933, 17866368, 15752667, 151194497, 7063661, 9358678, 95518528, 344266414, 485699715, 165193916, 173654003, 310916257, 385317870, 143548084, 212198369, 325409595, 465510575, 253970469, 35513665, 265296666, 239670411, 15973388, 479921966, 218561068, 237400590, 387004286, 231334331, 30922730, 469722743, 131693188, 119898972, 377954635, 455662393, 297868140, 258342433, 8341115, 479961873, 218414833, 155264057, 235907676, 314223122, 110749584, 225662680, 390390332, 292975774, 439016463, 324313031, 50462865, 316244924, 79169791, 337830476, 5951456, 397187386, 25937488, 269094531, 62431031, 77040941, 268027353, 271406799, 96440900, 220152714, 417520269, 459820783, 207953129, 11705513, 440314868, 160323693, 57346108, 67672471, 325183979, 86137132, 32880732, 167167343, 420526874, 440440977, 490360878, 391006503, 58980106, 253863577, 285505854, 167329941, 210132401, 462929398, 107806936, 434362411, 83923289, 72666566, 236544561, 294265860, 42602591, 236721682, 434728207, 239211520, 166237861, 431504829, 181972438, 16530329, 374948239, 464050030, 191676278, 227295309, 477288634, 304040067, 244142867, 356165101, 324748375, 231415208, 272124376, 351200516, 358168573, 142856991}

   {436269515, 105674568, 79131546, 160169421, 113470381, 64130282, 385552151, 52103249, 222591268, 88000655, 6456113, 10260791, 90839409, 20715709, 256113172, 244010468, 340283263, 384603940, 436477365, 202390209, 376202292, 452501070, 436272596, 56751188, 188213777, 18544668, 160089992, 156758985, 16970110, 318326860, 417171344, 499510133, 200616868, 341380885, 425872621, 323327598, 246964134, 21353111, 6005592, 431171128, 205985001, 72927470, 250390474, 327286236, 201010835, 107522196, 339151933, 249263400, 406140144, 198802587, 297156965, 24636879, 49454287, 77947938, 320398435, 75233819, 421431046, 190529733, 219069735, 380338931, 36197381, 64859812, 359192451, 59109690, 425200596, 285301046, 441876372, 416460818, 433154087, 233127984, 434107871, 409514062, 36126170, 153522317, 55495970, 474227899, 104018135, 92398349, 426430659, 227358995, 403044627, 148345521, 456864475, 375120377, 486620941, 426292397, 166962987, 128964592, 486395357, 397604723, 399636702, 370031731, 411661496, 439301491, 355541267, 297076532, 491607019, 226858867, 145935464, 386474638, 336268073, 407637866, 102375445, 278647250, 404340954, 206702586, 320750594, 180973489, 245256695, 256433069, 362345983, 316671890, 48553072, 496734541, 179933751, 342797612, 167630249, 200112940, 293931575, 128465080, 99260483, 82292685, 153581717, 432821499, 43751880, 406052824, 477953956, 4446968, 7515408, 343304272, 183929651, 212694524, 95987339, 142372289, 111538894, 212482850, 240468344, 455507913, 49292683, 340296096, 262913958, 392674354, 109356974, 118332107, 200859180, 179407294, 293242324, 430885812, 374798424, 445427182, 67041517, 105673856, 432609164, 454955960, 334489877, 112142526, 110502564, 380386806, 284280529, 233103385, 67053498, 436018042, 490146456, 147750452, 410089900, 70182744, 26825059, 84018931, 395882576, 41005190, 481784698, 325658606, 97552158, 64306066, 315775493, 338663082, 311505996, 233553783, 371639451, 86808200, 119548390, 366444479, 94246892, 259975125, 107948393, 494213948, 213181611, 115604744, 76222231, 12793260, 283124726, 185512605, 337960318, 267554528, 247393621, 254044333, 128948710, 33648449, 354956605, 273613667}

   {765030430, 991774293, 673666767, 674357604, 892995050, 867043562, 790009067, 936704054, 501325191, 815176734, 778481848, 508098387, 839801219, 579524565, 871020359, 846814735, 930318490, 765523235, 676366994, 772562391, 942703114, 704704141, 914042894, 874329426, 538635284, 686528092, 895325548, 914164909, 553412022, 833581461, 526405662, 900551714, 591572103, 871118816, 695548913, 762043704, 981916005, 740631419, 625268687, 765186103, 974920947, 701142343, 737460624, 970489577, 551260158, 880035982, 961455222, 517898311, 518283890, 563105073, 969090342, 901251399, 747066198, 728354993, 772512110, 532424256, 703088059, 993755610, 751117292, 961907018, 936933822, 516651510, 943751074, 971633454, 764679129, 579424765, 860528173, 605316122, 763497204, 719106916, 948136843, 871508759, 754726382, 780546302, 522858479, 904244939, 851663793, 684424100, 868421461, 824777386, 976844047, 736012774, 972059370, 907771601, 804037872, 662065794, 859158416, 977812146, 613332561, 656198609, 881457836, 808335399, 578750222, 575012353, 808480685, 585703041, 953360073, 603275698, 898763796, 601148061, 788442366, 577462765, 562582836, 825704585, 824470930, 669328839, 703540330, 816773746, 529147330, 852568638, 648123374, 551868041, 513430001, 904125514, 648071475, 644116486, 672905618, 713585882, 527182950, 725240429, 723572504, 706201485, 679214894, 713404443, 719508747, 880863792, 931422447, 916140246, 943605799, 603078112, 763151450, 845391785, 597102217, 596688064, 786722208, 683469426, 938849765, 868227654, 617483890, 612183455, 824589944, 721761428, 713503903, 953168900, 774020768, 759585932, 778300280, 559746053, 726840589, 964414288, 504679792, 736016256, 750284747, 542571017, 601093335, 947999277, 883608432, 539135139, 924311836, 821092263, 608794376, 961758071, 814389962, 791689603, 736122669, 671090435, 938986715, 833212474, 504489375, 636648275, 584578410, 592522218, 843273734, 890326466, 681035471, 724013791, 760193721, 575269340, 913809225, 955788469, 990974798, 629684580, 633625515, 725183890, 625540338, 669491731, 988381467, 764519680, 651321645, 641354313, 644333360, 523009668, 795473360, 861623857, 586592934, 523394584, 908263167, 964654649, 854530614, 670691816}

   {766870492, 851850420, 719162311, 658673953, 526860768, 948749999, 593656996, 929806949, 674020654, 900429517, 647854996, 907869904, 696065955, 681415322, 519731039, 654569918, 599414087, 725764977, 711204969, 906033283, 631689595, 751731192, 947234912, 765184541, 876337258, 598694500, 773347395, 786114631, 554318743, 593903880, 742595196, 682325901, 540256866, 523631588, 813019828, 762897495, 957874922, 570737284, 750599881, 878473890, 822836307, 506367390, 628191863, 768906407, 739487379, 911073436, 697052403, 905693934, 565806755, 686498843, 894959106, 850440487, 543463457, 791500833, 682692081, 533577448, 596043476, 821492598, 710492166, 823987672, 694521308, 940337257, 753240236, 824033836, 791255252, 934564853, 942662500, 746028242, 586122296, 790130043, 781437580, 865873649, 506946906, 935427181, 943651864, 980151841, 580275657, 723024040, 687616847, 740046669, 883866734, 722903154, 989909531, 938170333, 714522084, 753972682, 513661283, 858086643, 730469724, 754233980, 713997411, 561382222, 967217327, 904363363, 576623445, 940828836, 958414713, 522262816, 969058142, 737937033, 851980932, 663834719, 700216035, 506156484, 919244071, 926783336, 904559027, 941613509, 737548893, 947188168, 864757206, 657224142, 688757217, 675632866, 926805544, 897984367, 883931028, 951034567, 531844877, 888156246, 679401940, 701914501, 880359556, 695215997, 566312777, 670992346, 581476244, 791687939, 952916441, 728613431, 682992427, 866866699, 718815280, 758979376, 946291941, 913947077, 662689939, 753077240, 744737063, 706904160, 992811851, 988044337, 681634636, 788840701, 516524966, 804983889, 948460210, 831147638, 769684187, 723877924, 766133992, 593566551, 501733684, 799074659, 757566178, 849408454, 560717754, 791295042, 618094924, 951361560, 658156958, 805002355, 751842612, 762572902, 500703897, 797932742, 894066841, 656001174, 808716739, 520332556, 688773681, 506010081, 588166727, 591748963, 584567418, 764669234, 856744250, 912077364, 554839440, 671210595, 518750490, 790033701, 677874797, 815161622, 522451529, 502730602, 736755132, 637023222, 561152986, 871661517, 507697093, 604423494, 913789328, 939699057, 516666309, 699662064, 709038379, 561341204, 515749075, 769341980}

   196

   Returns: 128793517896240

7. {74043004, 215297364, 199316071, 358701669, 496657874, 143725417, 346857226, 177671501, 291759135, 195245146, 15946319, 7405700, 251873002, 360861831, 61010781, 197692344, 394593414, 450056541, 206553473, 281359916, 217812553, 325663387, 356097434, 139259868, 135621638, 488510782, 116894546, 34100180, 72229123, 100928427, 451796990, 213179336, 38181116, 123385910, 82431925, 227530412, 215964616, 494632074, 114529699, 302915104, 276950616, 481436060, 335288192, 289197948, 434881973, 207374283, 467665950, 472147942, 312915989, 156962145, 364412642, 167666729, 85557822, 467992589, 104236746, 369587107, 298881046, 255592890, 346922060, 349420324, 95171853, 402121806, 314971268, 274999790, 474357225, 457196358, 168027022, 193038019, 9165732, 184486809, 255845615, 189044311, 113827562, 144876901, 177884865, 191288986, 159691728, 339117426, 20546472, 401405131, 486309094, 41545499, 179495823, 134151790, 356050301, 97682974, 137893416, 406609665, 371298776, 350902227, 55975647, 258717019, 30595825, 367580767, 188949901, 210402412, 414173201, 384898352, 273986426, 370039638, 411289871, 329593330, 276333955, 209461154, 367198042, 139479331, 438443557, 26690239, 229985873, 299471789, 331846720, 395872265, 463081135, 45626849, 69134214, 82792825, 346484140, 323394341, 331450140, 355098689, 34884475, 128501584, 195594685, 204638703, 391249417, 120454718, 141715098, 89826048, 100868446, 298003200, 424382618, 357648779, 13637681, 269843273, 450335756, 109521099, 233169659, 411533799, 114229272, 380934347, 20324841, 180999499, 482767924, 397679074, 299017474, 244414100, 74370969, 35334014, 160924001, 56603824, 348301673, 206903279, 138786403, 141729645, 280139794, 199127062, 130040955, 135516390, 101638843, 315020145, 394408515, 249681189, 339853670, 239091792, 411440203, 353630062, 111916448, 303577229, 84823391, 441901826, 206498547, 438268460, 394702874, 94586673, 365442776, 358902779, 366102230, 15773779, 185921847, 393196472, 435578523, 87022483, 447111022, 355067015, 224587586, 359351804, 190396644, 309781106, 295634528, 306006767, 261556772, 341174239, 418147313, 29604284, 334538042, 146882364, 216407516, 25032646, 436025924, 257226061}

   {389630831, 460441345, 305999875, 313312077, 103059191, 122861813, 303577902, 320258071, 250426155, 235321943, 381892527, 375695878, 257436151, 228601239, 33439812, 256568349, 26290744, 55315340, 51572892, 266746648, 431148275, 268246465, 97032544, 112995661, 476427638, 219996080, 220364355, 53848499, 314883837, 448035301, 274590862, 10369956, 390842181, 431931590, 185391258, 97970150, 327536593, 821216, 378421149, 184792866, 87127178, 103216823, 397535757, 327201351, 275989250, 420855681, 330452082, 91382086, 379245356, 177583114, 312850466, 232168775, 489635148, 128224455, 8888194, 433554390, 31734509, 351943077, 385055064, 476616336, 268500764, 397721095, 451494509, 47395473, 57526156, 320396003, 274206539, 85097517, 486399847, 447569854, 450551901, 269683104, 407431916, 371341306, 494325709, 371512970, 319309299, 92196718, 232357470, 489541610, 201292465, 335926072, 88463091, 481374225, 229166853, 206274780, 327704301, 183415059, 371552259, 331121026, 487911750, 79757776, 74306372, 336829807, 285107823, 132754914, 107952160, 103349589, 373248086, 464605809, 284678858, 220201488, 344165656, 314644680, 439728713, 172960935, 31308753, 180304707, 386501684, 348060323, 234332408, 212167225, 288237376, 51697273, 35308245, 10778905, 387574844, 483201513, 57283153, 105592531, 5307414, 31558189, 327976792, 393423014, 8914546, 447217355, 78582863, 355197728, 369119206, 99976927, 249007704, 47547638, 163987134, 479253613, 451398814, 317721964, 373383559, 158213475, 146046699, 445998239, 254891613, 328617815, 224969162, 177756040, 219709656, 407355144, 157275727, 476495405, 235425344, 139039206, 157185719, 403729516, 356313236, 96917432, 217629375, 21333486, 473925541, 446424884, 273816785, 364888931, 338091505, 188299327, 335198974, 186241721, 30829325, 325217283, 444811880, 117724990, 237709231, 80098433, 7593276, 66750384, 488984496, 436942921, 109495037, 402954508, 472578149, 306924359, 149318079, 171321064, 155257102, 326616833, 348250713, 127176325, 43928860, 266610116, 57001437, 86765510, 151669987, 9977925, 9657270, 104804202, 288735171, 220596196, 245746888, 59007704, 109035845, 5499481, 101778940, 484013468}

   {835559502, 854024571, 869028364, 571745264, 807481371, 550506891, 895598796, 950551685, 723473048, 725095103, 651397211, 711781297, 842543384, 536407482, 773297628, 778368063, 752006554, 694877251, 870695500, 844481567, 936708982, 553242677, 523153680, 640168863, 979829786, 823490256, 612126210, 641520911, 835907258, 552086828, 805111226, 500214373, 930715854, 667118075, 784195915, 691214442, 662445348, 937347278, 644779304, 729384556, 658693270, 909860590, 869677756, 791816282, 891501746, 808117045, 987262169, 705339558, 544450710, 615224961, 699907453, 549982704, 697531404, 603582435, 614070234, 626302912, 586618501, 511940161, 543646440, 513784998, 865948600, 948390348, 800381854, 881012066, 689121336, 590863978, 531540263, 579192000, 637395543, 708504864, 848867707, 527587397, 646920269, 797817790, 805607291, 767582783, 812790773, 515642897, 896715081, 675225378, 965657465, 916535316, 732415711, 554133601, 867527574, 515808076, 724470926, 986936018, 963263898, 682301230, 546792731, 515368479, 977442471, 770277661, 596781406, 845430280, 882935125, 547203341, 772571574, 941750926, 913873116, 734924041, 776081746, 634709003, 904621774, 788142108, 622697804, 972168609, 647614429, 740798498, 715823505, 866155386, 744830527, 501749391, 514941452, 720632837, 715538297, 988108627, 828452193, 817990546, 643719192, 749520324, 909700959, 656355182, 714613241, 660102709, 634928452, 714558885, 856209734, 927013417, 924098832, 746078109, 595246504, 928930873, 757580915, 554441671, 533713650, 762535809, 573362830, 849394574, 974609852, 862433238, 538333705, 898229193, 841831265, 825212416, 591981703, 920393332, 832626381, 572206779, 744357603, 571736441, 503035133, 870338847, 753520972, 715982714, 667669964, 924975497, 672340443, 506264468, 676635651, 731701661, 690374922, 519243671, 628911500, 961964981, 636130128, 964341870, 540599415, 681463086, 633774170, 656565534, 658138519, 518950460, 750902396, 999361286, 651402364, 694199628, 639147148, 668942716, 713751338, 770569407, 515719921, 895623486, 925341693, 530381606, 581540921, 544751650, 513884328, 673468180, 986020734, 559294596, 572116480, 613447620, 941838241, 548686929, 817246146, 873696164, 802981581, 793529698}

   {749916544, 726932386, 900774097, 899282083, 546175832, 512641855, 753082444, 879759845, 596270632, 617215270, 778122910, 934839446, 712083535, 808834081, 811056022, 523035022, 697768254, 720616508, 781234798, 613556596, 516389387, 999666253, 682076986, 692481478, 848578277, 584686451, 613692722, 641744885, 718010089, 663028038, 981483830, 700265417, 732176217, 763452501, 619530347, 900295011, 652563973, 902865149, 616542793, 653961094, 658099320, 533431743, 782477988, 795119972, 887659176, 585993782, 531297738, 939437159, 608946324, 753686013, 776224853, 971977582, 950523451, 722142806, 843205563, 926609841, 716978981, 631547884, 883016594, 514779232, 594215402, 509047239, 513774557, 809770907, 770311072, 958404937, 823878641, 915672461, 973680143, 861120570, 732057922, 652608702, 572779588, 827544313, 981581859, 789464839, 710784753, 824417273, 668758967, 949634031, 509287290, 936427705, 996788047, 506208701, 901878450, 517551546, 643200284, 896688912, 922533168, 539201652, 861856431, 914680732, 835063163, 508154819, 983508686, 834864679, 822994229, 990495384, 546306547, 857627239, 629338731, 748139810, 870853262, 589504156, 525169026, 991002140, 521136961, 842283485, 647217059, 922547288, 575935751, 737284422, 934062254, 693532462, 650152009, 914364314, 888955030, 848631086, 503754818, 896353204, 707797827, 855658994, 793771737, 598795148, 859283638, 931398612, 950512526, 801818325, 782274687, 775187773, 929109501, 860454850, 927844632, 636291160, 955328981, 884723324, 573196783, 609622801, 915764231, 995304453, 729620822, 559530787, 891405834, 976311502, 775611112, 854436667, 934259757, 796059545, 722127675, 806438525, 588061205, 623277475, 948964098, 679314576, 730964359, 763368524, 596920222, 869512916, 653499473, 936677654, 714278306, 980029604, 890500705, 889574216, 906439829, 645634091, 573460692, 599217345, 802546338, 837190011, 922441529, 549317402, 747303855, 835453834, 997423678, 966193987, 883864785, 500594618, 833546445, 974040517, 634226783, 686076855, 798055960, 912073474, 699222553, 935241227, 581276061, 578205253, 526321976, 653037379, 907220047, 509760023, 907278791, 622006692, 542716067, 848971195, 515605610, 503366654, 502185791, 968519270}

   37

   Returns: 122260369523345190

8. {355481604, 468685743, 107434132, 241565965, 253592068, 358661945, 486884826, 486176160, 240970023, 385733104, 333305027, 496827051, 122522349, 371113491, 51939479, 148817553, 169922451, 321696263, 349013325, 372850652, 164141000, 5071256, 269211282, 337849883, 226038482, 198680325, 197216399, 351144880, 100296044, 337317513, 31105920, 289440947, 351712884, 157652983, 347311075, 193414227, 341091166, 44270585, 479652271, 219852265, 111876217, 138174381, 300464818, 27952027, 340361060, 256980394, 212491749, 180741322, 498736454, 413293887, 265466077, 305799313, 161718664, 452787212, 352943230, 251853171, 379069583, 50976560, 156708048, 166610938, 466306624, 22891500, 387296833, 265937333, 77107330, 324875318, 464390741, 348330126, 311036360, 164332509, 193475838, 445523106, 113878842, 166240864, 57166663, 292377596, 224316307, 247202882, 43658325, 491350055, 77208594, 382349449, 256133931, 218213670, 42427628, 411276569, 372814978, 421295149, 384521423, 187614726, 15771104, 42689181, 316538673, 358220895, 477934166, 247849271, 465376094, 180564263, 342674728, 198727864, 436229426, 271798338, 439745184, 71040496, 163952278, 142948286, 422010941, 267962553, 265221365, 282063362, 361804966, 39922049, 13274316, 25820084, 366923493, 490310223, 354686632, 167022140, 411046474, 458938585, 9045752, 72167982, 41492164, 399349225, 178531180, 426452640, 240110173, 183368386, 147668409, 17843434, 312561118, 333712128, 14895332, 397606106, 462927870, 343901756, 456463866, 32852353, 234556772, 303941679, 465580231, 396350307, 195039614, 419508414, 142682886, 249168519, 161555432, 267893956, 46132019, 136199237, 126648536, 295736614, 181781141, 79362664, 476927806, 307124484, 145577385, 333242862, 9075350, 235188542, 56878758, 495087984, 291051337, 446217873, 107465676, 134376881, 393713417, 406727998, 54109488, 31649993, 216370265, 216801995, 230111986, 46643891, 273165017, 6162152, 82486115, 165975399, 283944460, 311720202, 301046794, 299420985, 108567823, 106432975, 160704256, 40243464, 381194338, 256023856, 258468309, 476914805, 329422415, 346834192, 475367437, 217203168, 258788212, 106986240, 388917620, 184874462, 223450593, 12505055}

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   {575059563, 664589002, 834140829, 783831714, 983207251, 902411766, 864187236, 694006104, 918415327, 582291854, 949921167, 576695685, 728536038, 855108072, 650123959, 861199234, 820848543, 711893143, 884118852, 849021799, 984043585, 542152894, 582466745, 521147732, 842741770, 789544386, 525568098, 576614388, 902545973, 932638164, 756062553, 512414978, 636880617, 609225496, 570717484, 558115446, 583175815, 723985951, 677052082, 875869569, 784715735, 641288188, 632502263, 630219236, 546523836, 650394680, 800700777, 671198547, 629724375, 680159740, 629251645, 943998134, 612549626, 546975544, 825704296, 898031613, 592636615, 744874482, 751593505, 865599876, 548540445, 925957382, 707154062, 872791945, 509459715, 514493660, 616350007, 711978295, 754210706, 589887410, 838884470, 764726876, 719329867, 897283784, 516004852, 954025783, 950792855, 865324573, 564165967, 958394310, 947995805, 711246688, 684417308, 593379660, 881104621, 957944928, 948771369, 755086930, 769670083, 929918443, 932207517, 725647092, 809604570, 742864191, 942407660, 622068517, 804377244, 966029155, 826378371, 989049511, 544083990, 932559071, 859789174, 539759652, 745014215, 697262570, 813698712, 638049200, 856753785, 588033475, 740513526, 819793573, 686198513, 873047504, 862537359, 567524447, 937810466, 952613562, 915521980, 638029402, 787093511, 903165429, 907801008, 697677843, 854893795, 995886301, 765173941, 893973042, 703345548, 829791103, 733239434, 791392531, 597999006, 925550074, 593608948, 714931563, 564437608, 995201539, 942056011, 636529321, 765837272, 559494449, 557873194, 729354828, 706679068, 826242317, 912749277, 738274987, 869779580, 982884026, 850464193, 672957522, 972373033, 727732725, 762258789, 952853697, 862417774, 848401147, 953089034, 716918744, 824523397, 701756545, 926215688, 796198752, 831348590, 765831427, 564171099, 946567474, 891909578, 930416105, 888020692, 870201131, 731112090, 532051502, 938668110, 899674567, 938722477, 903988028, 556681147, 727324037, 826125011, 853357715, 936952001, 778896879, 641373961, 907902956, 996879237, 980245693, 809018123, 805550458, 805685678, 782348149, 716982324, 791950206, 960976114, 622837270, 719959837, 694679246, 974770892, 919824210}

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   36

   Returns: 181142827634000034

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   18

   Returns: 262322769462644112

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    {172160321, 226287451, 249942664, 384144051, 55037910, 355365319, 402754486, 371758114, 368089111, 434378082, 323146859, 198467249, 281571764, 171690391, 403030342, 353673111, 485784048, 132215757, 371166035, 10317068, 338314714, 1167107, 49298910, 445755415, 461740218, 300665513, 104404624, 47129445, 214319547, 392225977, 31088451, 276680094, 22146798, 228267680, 340080257, 31327159, 239214015, 289592281, 217323264, 346950124, 247116397, 36901838, 445362372, 444393732, 182359885, 251520895, 475991729, 78009606, 145558376, 306632552, 103139097, 498478597, 82274868, 142997954, 98494527, 360792348, 438931398, 303659243, 490430800, 429338940, 212876333, 303031049, 48577672, 96679147, 198080658, 309955175, 73130560, 142078361, 71023703, 323664715, 160314640, 36754419, 58926016, 97844363, 30940274, 334628682, 272237442, 64870804, 65415080, 78944355, 103957881, 648945, 440054858, 459285336, 25912831, 371229771, 408953167, 450838565, 134862489, 416250950, 241195866, 406047207, 172179930, 140015323, 214245644, 356073023, 1191823, 309299555, 1120805, 148535639, 237142576, 422449597, 429070746, 92601295, 225321973, 175669698, 491599148, 195494331, 106165728, 307122801, 498080635, 237406126, 38727747, 463196903, 375523612, 176775000, 186853179, 50366588, 65642328, 101447918, 43905044, 11701762, 440555924, 150437221, 384278694, 233142248, 262123930, 258038460, 54141483, 456116023, 42106803, 158553447, 179745397, 238835925, 385624366, 482621030, 459810412, 199345645, 449969868, 246413337, 25215791, 204388575, 162277839, 476286498, 17609435, 403933547, 323367489, 145412259, 386310776, 302371098, 108404363, 467655577, 205936460, 189102372, 419571241, 435314571, 86569579, 189744328, 153138956, 272883918, 120634010, 89722137, 222507262, 299029871, 389989402, 25565241, 55548552, 84706633, 194741046, 132223290, 206324920, 417514159, 59105590, 349140772, 410973140, 70523546, 118953656, 411885238, 252481864, 495495935, 69211650, 188646046, 119210071, 301875134, 433879838, 216788034, 331928757, 78923418, 275444295, 34129279, 401097002, 474363220, 234846459, 16314953, 43663461, 154812814, 171560817, 29279637, 56059318, 104195127}

    {702308168, 632156939, 887293487, 855347918, 610155370, 653817030, 889033309, 683367589, 802958535, 985332298, 571096678, 984028249, 927389750, 811909742, 528932272, 610728049, 711875800, 981665050, 531603937, 641031154, 799194423, 599694122, 683673243, 591935528, 875083722, 861001994, 517560345, 676174713, 718520547, 709787208, 913665726, 800347720, 733127455, 895209233, 834365853, 708477879, 561053010, 836114207, 897157456, 682751293, 699309958, 857022352, 734505669, 821639098, 833306827, 997997730, 569280290, 776424345, 560171658, 608636995, 654458349, 913859388, 533815889, 912476178, 817543919, 789057866, 944552836, 563541797, 924099766, 954543648, 880783016, 782920492, 540738405, 864593619, 600144424, 884297615, 792110036, 895206273, 967965553, 945571197, 642393571, 872992753, 888257737, 920082123, 822198687, 542028199, 590847095, 943004792, 813333421, 603446732, 939801088, 934531269, 872927281, 534614839, 793103283, 892324320, 719987911, 684024030, 549577717, 700065720, 908315202, 663958460, 671190968, 741204705, 825422945, 844429520, 622984212, 728691403, 505916025, 911242224, 987772027, 742825300, 601381632, 906207177, 642274168, 862440481, 990303994, 733328228, 683335572, 505483921, 555196802, 713147932, 640483192, 971863098, 786945785, 986130357, 904552907, 754538365, 675027004, 827060694, 633344848, 544123055, 786290677, 757996491, 798384309, 906177290, 922583253, 833484779, 984615840, 528445542, 917950030, 651975764, 841942595, 909912524, 527617753, 865506980, 587908405, 544042791, 634555347, 700557183, 547144962, 857435691, 918263987, 998628024, 732799397, 703913965, 563649649, 798441100, 666449083, 769632367, 513240304, 576798358, 842465919, 506684480, 998279726, 987372977, 532018376, 667771549, 906193976, 768093102, 592314290, 567764337, 996578288, 903728891, 923672934, 713986498, 840784308, 655403229, 769241238, 947937155, 986812679, 634287129, 848538816, 514210499, 842100131, 757057739, 685182015, 568392671, 769818131, 863254925, 996616703, 592439447, 714210336, 860540057, 596339577, 921255460, 938389791, 810545414, 718381897, 871326577, 756190603, 912906013, 766358425, 827619979, 772118443, 572176625, 865897318, 668189599, 708653880, 838633167}

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    162

    Returns: 4431077060080348

11. {259249489, 196465167, 398997147, 51657679, 231815584, 465827474, 290456758, 169182733, 9736711, 52943472, 228535914, 474506448, 491197261, 199156429, 187619587, 252054796, 300531123, 311504488, 350116341, 483531155, 345013023, 471454292, 396636889, 294432487, 150686559, 362514930, 213581217, 191602210, 41856819, 112692750, 131224496, 436820941, 158291526, 156135186, 79117722, 57685045, 388598940, 350364329, 41634029, 5147117, 51283916, 156802495, 42855451, 484887433, 115401950, 400678083, 185206714, 11849587, 363202094, 443546653, 420349692, 144352921, 196231986, 227094390, 311356061, 282985369, 55444572, 196459216, 192377000, 346026918, 226092180, 18938570, 56481804, 193839738, 290297966, 185790675, 323219910, 419889476, 380208347, 255272167, 3836175, 136347950, 184714346, 114936694, 203563366, 197122271, 84297680, 399213999, 235558609, 12913812, 409254230, 16052038, 2506968, 443407206, 67243690, 155332057, 474852235, 342517101, 282774747, 359689906, 313381487, 284555783, 196569535, 15398825, 215973177, 154149565, 207327923, 59346187, 191857447, 197079708, 12734306, 59337223, 1605969, 34003295, 87377370, 453562346, 250146822, 259780614, 24454440, 110081937, 444245305, 208300925, 408897751, 330842133, 137802367, 277158087, 467192793, 46091488, 137494836, 233792353, 256261802, 365106278, 122114903, 183242896, 271809744, 438356723, 112918017, 109130543, 344637899, 136774297, 168387835, 292240904, 383192065, 361910311, 258397002, 65094948, 433288286, 172070356, 197877719, 464416322, 49839251, 93133763, 192797795, 263503301, 252058961, 224141589, 463676340, 125023967, 56171177, 262813193, 430963740, 10874122, 169503937, 162437508, 26296493, 380548105, 116339353, 456143227, 364450342, 412509849, 311857560, 1564809, 265396144, 227519920, 180100316, 376011009, 304619607, 197126583, 2519292, 4146321, 409857009, 250882859, 144337582, 155365923, 73402573, 171777312, 101269050, 213071483, 360283735, 3921455, 257198129, 36807212, 239102300, 136005139, 209966404, 395712292, 358908211, 62854006, 260461771, 2483794, 144717770, 473628113, 49312426, 390977961, 35429240, 359712147, 118904101, 91673287, 46594654, 226795481}

    {380989760, 466596245, 112627239, 163335670, 417213973, 27328132, 254301729, 249838225, 345155068, 405852084, 130453162, 103416106, 12680821, 173427967, 308103504, 161844888, 260012928, 418549432, 377874472, 247751664, 470645874, 211818411, 123431311, 68678203, 360826617, 3494320, 183465783, 361288675, 300406650, 378061767, 367782470, 117002360, 453135250, 183172867, 20774946, 248797075, 51537977, 155517746, 308418322, 236896171, 101437399, 208660225, 170977305, 309583866, 45993996, 127171343, 459828395, 6821437, 301914835, 423385978, 293614041, 265866311, 413758026, 361168945, 320382882, 31785058, 341235646, 241481349, 103331141, 339879378, 314852098, 366716916, 213974908, 404167915, 40597276, 21338423, 76164092, 235381190, 189470050, 373896489, 332219299, 154590308, 497219679, 168572721, 445854828, 398869144, 159533573, 439217773, 319167419, 143633115, 112559443, 215265524, 384486889, 250432940, 113049823, 62379584, 105436215, 480904136, 422601913, 379013539, 430127674, 234436618, 145738026, 302749884, 329928986, 98966963, 492907028, 494099643, 481667330, 245710308, 466198467, 336527720, 389296179, 105323590, 350286339, 172848976, 68096117, 186909020, 182694073, 95944130, 39936779, 312236818, 445344362, 285906502, 162615539, 123768688, 499758982, 492126500, 437606278, 411034429, 451151473, 459889163, 178770442, 104641847, 78366523, 436209204, 95791712, 24564122, 27370349, 31363319, 167364472, 335184383, 222495139, 233087964, 348961261, 407861369, 468910936, 413723791, 67217838, 475905195, 340169018, 139956443, 268836393, 408237694, 288732586, 311721738, 223692193, 240386093, 350211800, 354505073, 441906853, 449761489, 363709635, 309187819, 272381982, 373509528, 132016352, 156621373, 300009792, 389925385, 388973217, 451824665, 481704161, 129450933, 124711930, 307411703, 242219107, 389862654, 205582381, 430690047, 191480689, 55885928, 461058638, 5034439, 96413391, 176625878, 234433487, 269822033, 89402986, 416838671, 367766585, 466382025, 279915941, 470715469, 82671097, 247866111, 363766565, 313286604, 66561089, 469873840, 195385877, 148356753, 126403452, 444601948, 137946032, 147974029, 73914698, 258574888, 30723090, 256145936}

    {995202735, 910078747, 966423736, 963475681, 746635947, 621055015, 939409537, 734021734, 908775663, 598732932, 785769103, 592548004, 505479726, 812011283, 742685951, 863521202, 524995750, 957730196, 996839772, 994280556, 893938561, 641442675, 507646937, 954418419, 814545533, 908619241, 892479048, 681094199, 827077164, 675656738, 623831007, 688743609, 602173416, 708696121, 770645057, 674713135, 788147583, 527225456, 657441499, 806349616, 953835710, 625430750, 748147918, 836670138, 968701162, 784483298, 777064218, 915064839, 990917281, 538327153, 685449749, 610635830, 770344177, 894043258, 566714387, 874556996, 833326586, 663245194, 603608583, 957370827, 614823803, 535667806, 833844940, 678382064, 583833002, 808106763, 711496732, 773472032, 834337461, 756347629, 566792245, 956786266, 560295805, 798395880, 773003455, 739796247, 616539660, 729564249, 504479468, 831985536, 549963408, 826285198, 944844386, 577926110, 704505146, 812091436, 531194803, 997192611, 662895942, 583180439, 849626804, 534636512, 950045138, 513029104, 642277605, 583365916, 689612533, 717367696, 881624083, 629740064, 800614738, 597097200, 705709375, 850502726, 849808335, 754605897, 929362291, 851720310, 521513856, 894439685, 719191914, 608557132, 894429153, 902914268, 736388675, 515450889, 573522847, 701499357, 817847885, 825214875, 707569317, 611461518, 832504863, 598556577, 983085273, 530875215, 820530956, 923465067, 958108208, 935318087, 699882032, 890459926, 815557954, 667309223, 593882301, 904093878, 671867013, 561395639, 952261370, 948408158, 975604509, 619822265, 516985142, 935627785, 978714177, 520027722, 910424778, 539095613, 518642210, 570674501, 929798831, 766723477, 721357107, 913057411, 664094958, 718409589, 516360394, 982120863, 633581638, 863430790, 716592125, 503384336, 786352288, 770359889, 523785896, 769921882, 922062970, 785734605, 647634669, 813163160, 584577726, 560512962, 571660709, 530527969, 876182585, 874167530, 605238136, 934087199, 897258760, 520748466, 579196253, 890010743, 810250763, 938332875, 810036012, 830966321, 841228718, 861957167, 504474754, 806389132, 603931308, 703893691, 801737449, 659079326, 667552226, 528320762, 757648337, 965230023, 744764399, 714609191}

    {627059435, 847501973, 773630826, 967052608, 796552016, 823207863, 825010949, 847819233, 790957181, 971260698, 804158686, 740130901, 756840369, 501234513, 575029813, 879052986, 974734899, 626756641, 721164937, 891844177, 754786037, 736238555, 740067530, 972908433, 783933221, 826985560, 906230582, 990413285, 723691098, 503038513, 720131952, 893946558, 767477165, 605419874, 894415615, 676728979, 543133577, 812097636, 727015388, 873032677, 662511141, 982785208, 649894969, 861147137, 787141212, 527507975, 806457312, 695705310, 722750117, 535432459, 969717698, 952636572, 650488820, 942589053, 850443970, 868221892, 876338200, 678373200, 502821536, 781167723, 733976199, 900626059, 635113691, 679525206, 674176915, 974805218, 582347979, 596957491, 522746073, 993268732, 932742295, 678682555, 914058696, 632795225, 598924346, 589566163, 991582768, 518796549, 812965643, 952262275, 769054208, 766075850, 758483766, 583138451, 628257385, 921501726, 886663103, 767731752, 656300251, 867337487, 582831852, 500296020, 621972113, 758468503, 807789984, 605549140, 995907929, 744762215, 863263849, 869431513, 843241109, 638264578, 765044763, 600886330, 818581159, 703921563, 949104772, 921157072, 501181315, 533349669, 545492815, 812203260, 692326086, 844455398, 697183326, 647945300, 767810734, 618640894, 773160563, 970724241, 530864046, 956020676, 936381158, 511689439, 713734002, 857775104, 852812957, 988202609, 547324535, 648897200, 693931003, 980022990, 603621936, 593434471, 716475646, 692951791, 614828305, 622509369, 894678769, 883652739, 661346228, 539088761, 640776257, 807179538, 711026252, 695253782, 787781063, 597507643, 932926323, 802412958, 752147744, 882037508, 743362577, 762343057, 615690188, 559533881, 566547140, 895792178, 912921926, 502220106, 607261934, 578316328, 877121272, 540242303, 566850885, 907250046, 934052011, 542452462, 994588201, 803898879, 672883889, 507568593, 714190880, 687627483, 739089677, 645548276, 868020361, 946199083, 550851611, 759937554, 769698983, 949241395, 928734114, 890417380, 684017026, 534106298, 859338162, 895005797, 881961328, 538459797, 504778871, 987019197, 700910651, 858665241, 839092285, 609773754, 582415942, 514687498, 891362599, 598101824}

    164

    Returns: 3915977747715880

12. {193359663, 279800565, 403881753, 288441994, 422590227, 486364532, 434973211, 159918848, 359633950, 157881816, 174623932, 358253541, 457840727, 423024937, 30755555, 202444173, 291489282, 447272974, 146929357, 294524583, 472077423, 197998402, 72868819, 179099300, 351461537, 323617295, 316868495, 49154116, 382118615, 410668011, 165709256, 283606300, 395270043, 227391385, 118689018, 271673570, 182459895, 449178894, 126829516, 306374543, 95620087, 21812640, 460571147, 293952659, 399037026, 97183930, 209227155, 365972030, 131765690, 202810840, 46868640, 195047110, 92868230, 38876919, 268416639, 35089673, 93240758, 34231305, 380647586, 115580151, 77757981, 194275515, 485962234, 218087303, 124134265, 68698997, 74958920, 178390859, 334704403, 118622392, 64481640, 249700102, 304023173, 487184828, 429494133, 415810717, 456131531, 292345923, 56372109, 461651747, 97586931, 40899864, 399249165, 278198268, 25216789, 472935277, 68660801, 458729216, 284686946, 455237489, 313812020, 195795681, 31248586, 449392906, 354492645, 409736163, 302675358, 272231299, 27228984, 16776366, 179638732, 309703098, 341251004, 366746741, 19219146, 319761060, 266159762, 392778737, 34989437, 84932610, 494772393, 196530919, 280790894, 448576629, 329913901, 138526815, 245320557, 469036958, 371603437, 210225881, 443105808, 88597872, 15945607, 431836792, 232906834, 77122794, 204783464, 437402703, 468291005, 423349755, 220291698, 222965982, 397792293, 7358987, 495971231, 374514177, 215689475, 348855852, 203178861, 442890508, 159547944, 252265469, 75608751, 439347700, 325717332, 202815976, 454958725, 197718854, 181751540, 43178238, 44662263, 85544735, 212799990, 60575295, 344559716, 178781410, 49318967, 309836252, 517693, 226000749, 236832533, 107409242, 178872208, 340883941, 86929910, 107641988, 258026129, 95134183, 353214995, 21435438, 164321510, 396639459, 456623225, 54113379, 362879679, 48512506, 413175270, 434701887, 217632475, 81947276, 231628096, 116305405, 403878579, 140859657, 58394708, 89824280, 202592924, 317459860, 347950442, 128038420, 298011924, 254570336, 329159723, 59362457, 133167245, 252848579, 124583091, 399343011, 51192038, 270537482}

    {293758110, 434185437, 391763972, 125743984, 343443478, 267901379, 34155609, 194881178, 411905932, 125860536, 303436435, 64582666, 144991599, 93337518, 149160213, 182748357, 85171040, 148114589, 46417989, 412368043, 337431369, 197705303, 40197035, 204990988, 471797085, 334277502, 449656087, 490043216, 78306942, 370785406, 72547812, 40092947, 231533181, 492043374, 279257335, 19335908, 117547774, 9088621, 343494497, 7641016, 138836908, 235162106, 33836029, 120938364, 120739017, 313589613, 139124453, 82554294, 58092987, 110074329, 272113772, 455990282, 415838131, 243849441, 84622085, 60921677, 99024768, 287591834, 498042137, 499281480, 485519362, 36789259, 2156442, 370897209, 460956925, 328369245, 240007916, 266663992, 335542650, 82630174, 175370934, 203361965, 144400478, 87995872, 33097510, 55710942, 460952786, 486246399, 330031179, 470687859, 260027953, 132946149, 219932919, 346711188, 134522090, 276024876, 152992082, 449440839, 9489814, 361670663, 51797958, 255556458, 246355443, 460520313, 343167747, 456070625, 472714479, 184961552, 395793650, 170432228, 170221276, 123083044, 43787154, 411167068, 353971636, 106121006, 251459797, 75512790, 35821443, 490024547, 350294830, 389386660, 380006261, 449226541, 242930078, 141818405, 314013984, 467193877, 322239582, 258216503, 68318271, 94799469, 427718790, 76527786, 499682519, 148929019, 16319391, 350771875, 403798890, 295339568, 498768232, 400247232, 471100585, 73381710, 206593395, 342408900, 397250515, 299749662, 265893737, 223185386, 378417411, 265194805, 264256317, 303512202, 360186694, 123222821, 442998899, 318349016, 217062418, 366970974, 273077705, 411748109, 442661503, 237434783, 495338829, 159709517, 174802755, 338850404, 61267544, 235504043, 432595048, 23825830, 294996996, 204901581, 111015886, 348869387, 350355785, 497189920, 478135933, 189534987, 325037011, 377806819, 55459443, 133258526, 313543892, 453837710, 310754256, 421519117, 334779421, 87108938, 169620325, 477894498, 150810616, 65989088, 365345954, 165373370, 261605789, 10010415, 368641063, 119480111, 152105823, 226448566, 210151258, 118123490, 207883644, 486567950, 475645718, 352869683, 22848275, 11733164}

    {698950512, 502667072, 822210077, 719048146, 916293497, 801942309, 970583676, 998744967, 897235983, 817240873, 940760572, 765111547, 938050235, 517396180, 852896533, 903135294, 660970103, 779666641, 531303044, 802662505, 740902319, 724867036, 693034011, 503565743, 605031909, 668252632, 985706773, 920207125, 614258475, 573443061, 760651113, 958997861, 605475850, 830558229, 919774663, 820641678, 631489907, 555079714, 610787317, 869271075, 758405866, 975324087, 908805823, 916195415, 674024000, 510480214, 552549256, 872929216, 829684046, 944755594, 524183242, 814368388, 527994201, 661437010, 591206864, 541569971, 523403519, 539858528, 926911658, 952326018, 547243177, 630606447, 789661827, 643807939, 967584629, 515931604, 909133204, 879418060, 668447648, 724533138, 524981549, 742470381, 674438451, 724389751, 657351299, 892449245, 571779607, 980320040, 760742364, 526061026, 798325319, 898226430, 911458604, 608469962, 803737333, 990506386, 692606238, 851313009, 921186677, 525816538, 765446046, 891065927, 565766923, 788761852, 700305417, 815287318, 937679413, 628910851, 724963074, 650420705, 918732792, 882480572, 772378383, 528708256, 869720685, 720248874, 558704906, 527018949, 650814723, 701390434, 521639760, 567608225, 501779426, 981055002, 611975471, 985494271, 701140536, 732866624, 543670937, 904655965, 757862895, 781600445, 702077277, 596687127, 842900078, 824774208, 795110391, 554215832, 932325337, 519489220, 840328225, 889800162, 810743653, 725299460, 806052291, 958800836, 849339252, 571640085, 768948413, 695405974, 540146382, 853489378, 934287584, 719373206, 521366428, 818618603, 889616091, 932532155, 943041442, 778156227, 791015190, 836400019, 907529326, 906966421, 524621774, 879201774, 864593700, 901954709, 651779379, 701743610, 796304685, 944199067, 766964980, 686231295, 610075376, 864789984, 742667081, 583448810, 666662788, 518394927, 676539528, 829021971, 536737080, 780982621, 790481881, 723123064, 685584491, 798362514, 777911170, 517074362, 994512576, 654039301, 728183517, 659071651, 734330249, 988335440, 643344554, 991886997, 738360407, 535556346, 861885559, 803033946, 529677373, 683438713, 753049193, 950184478, 747382417, 887646147, 704130017, 706180127}

    {580626834, 942378144, 521996877, 845718707, 728849993, 522503910, 882375616, 748596292, 792788068, 958080011, 508826074, 910750311, 938038003, 650330717, 782150394, 966101030, 695050071, 860845333, 843978198, 801389286, 626092634, 813807834, 700782511, 969288108, 945536545, 779392805, 639539240, 589542222, 934019502, 850716161, 976391614, 566532652, 595329285, 948999946, 593265387, 943396290, 672659025, 806256323, 521760570, 644785570, 982765784, 589662520, 699332848, 951203164, 968729545, 543285078, 634756455, 721268081, 546194525, 532793912, 857635761, 710066048, 942797150, 707843319, 616557040, 600042769, 769620237, 507494512, 597130245, 614573525, 857738803, 606028262, 967130375, 773004601, 753762907, 894964743, 815424787, 809202522, 848674500, 826695545, 733256568, 901717171, 584890433, 887467291, 864329369, 937618687, 940626338, 658825560, 879150783, 857784616, 575368092, 868874628, 853204623, 545621926, 634129369, 906822417, 924425963, 670511904, 658734577, 960974716, 937708927, 566434720, 890708030, 807190390, 798008996, 582722014, 875333884, 828612523, 595369637, 670054370, 739459975, 965358725, 996700393, 514278183, 981217388, 634307675, 739191008, 808637453, 957859919, 953002858, 543473215, 976550960, 895314272, 812822745, 907439596, 616391855, 777343792, 610550673, 544232178, 658712734, 648676561, 785617618, 520073379, 850729295, 849330347, 547198696, 789384700, 843621655, 952010323, 563847010, 916458124, 994392843, 993172048, 628631636, 861996897, 774846803, 637658166, 794885073, 944863552, 697546909, 877536138, 689233849, 594477318, 974660782, 913135735, 593579136, 725163275, 788805481, 820631249, 565816987, 671957653, 570812632, 807435825, 926183917, 860674148, 835451796, 706840257, 940602474, 695976490, 690427252, 500918014, 574780883, 553187534, 532637860, 504834054, 982637456, 511295652, 821615496, 511067381, 649227490, 535938153, 782997049, 849635320, 700961272, 649408757, 987820196, 943655310, 634574143, 546318206, 916632278, 920239113, 871987775, 672848262, 650917276, 990547458, 851715381, 850212748, 845911407, 802344816, 538771184, 724696777, 637635202, 544479318, 916100019, 671822014, 551246604, 598099406, 773286380, 978439961, 676474393}

    181

    Returns: 1416958618032507

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    {198267601, 144214998, 423373503, 436211433, 96648562, 35161550, 30226645, 154453536, 152050281, 74676152, 234341772, 415261916, 332395639, 15431702, 476555501, 178193655, 126221593, 90147415, 314177845, 37895404, 487127985, 478775498, 409746723, 433779405, 401308362, 85365528, 385600267, 479718801, 449152204, 223779075, 271237915, 181724648, 405390877, 155431350, 461603710, 314630348, 126469656, 453953099, 355937593, 275845720, 242459537, 229010873, 60916143, 427564875, 90544816, 184893615, 247783907, 353875583, 133423504, 324875404, 417579405, 67648835, 446341495, 461429810, 466598677, 473658448, 415737576, 382504640, 147929930, 409658082, 39320688, 461712303, 121007286, 336377961, 362841672, 154228030, 137373327, 7728854, 140550447, 41028936, 344510296, 9840398, 411612844, 425672045, 266634043, 171531953, 158678166, 473596572, 308589429, 431370353, 324684107, 289698178, 458169618, 376674958, 281308233, 15739532, 392112782, 156452766, 73874924, 262646200, 305377667, 133902161, 477826836, 288151652, 243882166, 468956096, 127988072, 268959837, 361837281, 311987702, 263929068, 407435087, 368618004, 321018756, 51998857, 31462558, 183940710, 208826286, 216040398, 307457384, 401817477, 255279407, 24053670, 68782333, 75324644, 418522858, 143383274, 36415845, 455928010, 37626709, 123381387, 486356023, 338638428, 434191803, 326305460, 482292124, 307863449, 125167828, 13535468, 68641191, 427939287, 302550843, 211343996, 425332400, 213536867, 162559311, 286819465, 28552624, 9792939, 154631224, 143967716, 385917707, 216758254, 178738334, 21563667, 113249407, 250343683, 489162682, 15455747, 375022318, 392087108, 111915602, 17930570, 169131527, 188236461, 472404266, 289332958, 124018722, 114640839, 319671639, 343304529, 205020686, 67448340, 280974754, 338980640, 265704190, 10560009, 253379972, 146132549, 110962729, 478509304, 147146803, 100164127, 348164237, 126721163, 271072377, 114342956, 154766857, 483151612, 81642083, 294349218, 232947431, 294728927, 377657740, 15892169, 125518244, 86420945, 440287015, 66422941, 226421580, 488987377, 443973597, 331448479, 126030575, 166682126, 103415093, 231746928, 114946720, 96784454, 101289870}

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    74

    Returns: 63941785361181168

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    {106148000, 353579093, 49301011, 211652312, 474606692, 422459828, 205197892, 319752813, 481772163, 454014432, 348322049, 104244621, 334960410, 381951733, 8249992, 306210192, 430365670, 178666093, 34794253, 317207554, 284252106, 400181711, 54535762, 261434580, 29671433, 142686198, 477367415, 145795535, 164375291, 148646358, 408245236, 261550810, 395010086, 205672886, 73062579, 3606071, 476080746, 97165859, 170968190, 124409789, 2050367, 221657403, 260126795, 140210389, 49018169, 388703542, 87994359, 448583289, 312710607, 140018047, 39013072, 222630398, 165487632, 395207789, 196405589, 318352472, 328632475, 377003991, 268865199, 407015664, 275942340, 204535477, 96760800, 297801334, 251840711, 99369466, 407479355, 492413889, 143775942, 304758501, 75598358, 239919968, 92251459, 146556700, 95378763, 6313949, 257413485, 268406500, 36609470, 264410037, 82586102, 87966407, 52089271, 311640800, 283653257, 122260109, 157763011, 218055294, 236507215, 39942484, 450226634, 417308720, 471114371, 394941441, 392856422, 193596369, 326453833, 309583576, 290534540, 441003482, 113080256, 369461756, 478840268, 231666837, 95886537, 53067596, 480149485, 77091205, 432451671, 497494928, 205405364, 181952842, 201918383, 299794134, 441878060, 420409435, 373196098, 376996112, 175168313, 329591665, 47859035, 217724380, 427497258, 111573156, 17298730, 54919076, 309379522, 249820803, 117003968, 96204348, 27181022, 439201150, 354157352, 32709056, 10398233, 62096406, 430233506, 349114310, 358857575, 309702003, 147182323, 478017666, 307359848, 412010484, 129509873, 15107255, 137233156, 50185492, 186069021, 347920080, 302871210, 217477686, 316553118, 84885061, 209783145, 402939208, 353317250, 23549840, 449279896, 380600871, 425682145, 271117696, 350860351, 326920675, 22848623, 433922417, 334179893, 288104944, 347784967, 279492140, 67971369, 37544880, 457692085, 42134308, 407739644, 55897554, 61020496, 45472271, 227353620, 259245644, 492218989, 337104564, 6695948, 360327254, 122463726, 78101285, 26152241, 450728926, 372914913, 329931142, 124107159, 296857110, 106945553, 300812800, 123538519, 461177697, 39770497, 358034663, 137197148, 396873185}

    {850890674, 678457248, 951624201, 890437089, 968890378, 641783023, 779407054, 961699079, 944752343, 654261843, 661320585, 711825540, 826994240, 591691046, 771988614, 705679110, 808390985, 660776655, 761127902, 834620954, 895907639, 828793654, 585159074, 990710714, 986514799, 545168725, 883269335, 551217272, 978889859, 525506486, 845130453, 683539967, 669063508, 989819734, 692626421, 796054125, 623967357, 509919563, 908569501, 920345738, 635141436, 840112468, 977683887, 706631071, 875386339, 527043133, 760809578, 809735938, 800467133, 642463464, 924468549, 824444540, 554165928, 850869615, 701160441, 821552604, 630501532, 719107643, 900408453, 830419263, 832642331, 871856559, 713588659, 879193526, 683503410, 895948670, 548737939, 579816749, 811852177, 811018208, 571214252, 907081883, 931973567, 524942417, 753469242, 758677416, 541678858, 711554698, 618411224, 880944641, 971298714, 676934479, 540960697, 826984209, 743098507, 832209070, 625004639, 538278907, 511299857, 769258629, 918419244, 596029048, 920879043, 717907163, 627971092, 666937879, 760862281, 902982379, 637404643, 899407390, 850766328, 602333062, 754737274, 710334233, 874748176, 778521012, 635930470, 943073894, 784648730, 646522520, 500321095, 895831036, 511947280, 794129011, 901859382, 966254173, 971167368, 892382467, 734673324, 923946833, 521545786, 671197782, 725861575, 782680276, 966117633, 547901712, 961452704, 818816861, 699086709, 971136127, 542677695, 665909380, 672201616, 759659480, 706178320, 691296252, 886988514, 672823295, 537990999, 512900550, 938820639, 868133840, 932682222, 949470131, 791187332, 931511445, 631240185, 685741441, 705393563, 582507997, 960081863, 642409607, 579436400, 636309164, 647934683, 907681791, 785138462, 919060256, 919953004, 687551389, 922154290, 588862279, 822179718, 585647676, 800313835, 943123861, 728869569, 746142837, 846110738, 684409563, 887891521, 975197409, 952136976, 580472422, 539995361, 843028177, 836655369, 506277605, 849967620, 885030582, 961340299, 706515896, 689173186, 745729809, 675087167, 938091243, 902266737, 689497754, 975452867, 613366149, 531593724, 601409980, 794950824, 817033933, 935951203, 930758972, 993477323, 545648137, 921268238, 537249271}

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    122

    Returns: 21378967913978349

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    {645728081, 788548680, 539963616, 875252541, 902824171, 537029429, 621103034, 882827276, 606148346, 874574060, 625854584, 642492670, 692025556, 658896417, 865148350, 933288006, 627261812, 790014124, 580038239, 587723331, 976746165, 825167995, 925888047, 515611089, 800981370, 723898771, 706973323, 904567680, 538873303, 915485090, 507980726, 984134277, 721010241, 769045334, 592956083, 665989767, 937877741, 546763395, 962365689, 792054952, 614321779, 874866589, 946926157, 552788230, 589306589, 548051053, 826291958, 952284477, 889818687, 901327376, 991414059, 595797806, 572150495, 914775707, 595196647, 785845490, 880366777, 503024700, 641835931, 698416310, 530052095, 844760910, 641436491, 855315930, 535228648, 664423211, 738770478, 594625744, 928323969, 706233840, 840836241, 890556414, 755293015, 878388788, 833376386, 890523501, 590088623, 835577904, 727898099, 600526183, 740310700, 977284466, 614593326, 506094271, 675357164, 672760666, 633319529, 865353249, 812217635, 786406492, 556480178, 647672495, 914098453, 510146856, 536999353, 939534799, 849344638, 863765871, 556218776, 692182813, 648737081, 735670385, 891715846, 709983935, 622000829, 687963959, 872264829, 805911348, 577684746, 518803840, 836981830, 791207084, 664625390, 670427839, 706235871, 503593575, 538008973, 905248464, 758350160, 983565297, 608775510, 591204012, 683379469, 915150317, 654788879, 997102142, 778437955, 685845953, 953518188, 630541417, 848333145, 697799765, 536907577, 815424361, 594234012, 911271658, 788121697, 786328040, 868886045, 959187482, 603296222, 885804194, 615453388, 971739390, 889790684, 989603099, 644139606, 702684789, 597924697, 663333490, 863527496, 981896476, 597847099, 987591789, 757101351, 508998237, 898624650, 923554367, 511621294, 810345784, 684551001, 777487932, 582213298, 787782543, 800642771, 913650236, 636126812, 669598857, 574792185, 633386696, 947118639, 794595046, 722145603, 808960355, 939683185, 517511808, 505401596, 730236387, 603657111, 998361729, 819376163, 554449186, 849568902, 951110201, 824305658, 693569047, 502868864, 775006921, 754212370, 990956419, 890314798, 713607038, 689108973, 898966325, 597343621, 954951617, 956800778, 883218783, 674961807, 762482718}

    192

    Returns: 321733808366399

16. {180477451, 383160717, 390709642, 149987549, 398954119, 456970208, 104758944, 356755353, 271441259, 482483354, 288006813, 239452420, 171758434, 18429928, 121808847, 136774464, 118595644, 156556592, 434854855, 242969109, 213298043, 56651241, 101131871, 80832079, 237078249, 391000582, 188597893, 177373585, 65850410, 1627241, 71179551, 286036724, 291885203, 116885844, 24129548, 325550681, 318565359, 387255249, 332202925, 4869867, 192602470, 307479602, 346015342, 234741555, 471220249, 313890378, 52071370, 244259340, 442597643, 40006, 15889353, 86162402, 476703184, 173621803, 26195754, 389638527, 441798680, 117069569, 360400379, 362856930, 212959208, 167110157, 239844749, 26827461, 477190674, 18321449, 23810399, 463235900, 105831803, 262237046, 488621430, 365774402, 283548384, 231049663, 75908227, 261697463, 397418469, 397098131, 54089862, 250141404, 54430962, 211456094, 31233624, 363795880, 295433351, 81578390, 202149155, 468675659, 417465856, 352239190, 303872946, 414685351, 236724607, 102608998, 444256428, 351933747, 403602017, 105532695, 108464067, 455854933, 262628892, 181987759, 147539586, 390203915, 439056435, 468820959, 86270449, 127631747, 439095624, 41520143, 268850862, 233382922, 34154564, 207413054, 360612411, 329011174, 125146121, 76971931, 297488656, 166685806, 213905956, 402235034, 399337424, 486071519, 39819915, 446293407, 121756032, 310872025, 345110537, 315847668, 64577498, 41148183, 57778803, 54566489, 138507916, 191382312, 464669309, 486183686, 306136269, 142766108, 173863391, 89817476, 173667438, 30278516, 442984515, 4406421, 437601112, 400284483, 30654290, 253947889, 161586316, 335379468, 161038244, 403955906, 80766700, 285113743, 306776027, 490630147, 337679431, 899559, 33233978, 306419816, 225502922, 403230094, 358877399, 410672997, 456518307, 91970997, 451182663, 483303755, 396259317, 341091488, 351155869, 105280649, 114506900, 120617719, 166770367, 291672742, 342777207, 467045228, 139884918, 414301960, 330227410, 477254319, 368680488, 219633971, 214722073, 74528484, 97757321, 58394788, 339283895, 177532738, 146273684, 259826402, 360694437, 46263002, 479532902, 64832349, 299317781, 450416215}

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    {652351758, 707882488, 618211757, 790885804, 860359578, 585829887, 888451005, 972723541, 702339447, 954914334, 566285224, 712783020, 771031431, 853475566, 766478254, 515348106, 771489982, 870745434, 564158043, 763934652, 621104174, 749849731, 900461574, 725991938, 824025212, 863501183, 869644627, 726754296, 589392376, 598256913, 847968034, 785034209, 910362849, 983314644, 803712711, 884259167, 786448912, 992149934, 920691456, 876340023, 963005596, 985567193, 576673605, 548536805, 762634805, 791359195, 690466385, 569176262, 713188303, 841718116, 543486468, 979768544, 913537018, 678922529, 907544743, 821352129, 611649427, 550298874, 873884746, 581046814, 809479821, 552720643, 652362744, 756881033, 506728085, 788659376, 691999505, 706701720, 885735787, 618717442, 863154857, 818748576, 724828114, 678569998, 842159670, 594962050, 587488963, 627779748, 950592587, 946557178, 903642136, 868921886, 599423854, 919024410, 547726676, 539255387, 653956610, 904879222, 557656639, 853011681, 969951587, 572589244, 599019850, 718407138, 500562430, 986638101, 711341136, 657574951, 595237756, 926882866, 708812212, 783662614, 940640445, 774320277, 994365083, 706998022, 815982057, 971588512, 826877401, 763112782, 669935659, 965234850, 508311814, 615961731, 583705000, 618125837, 911721353, 566343594, 551543957, 966661519, 840038369, 706176977, 855800050, 901356900, 866393780, 940983984, 956862047, 685054637, 672819177, 866984582, 844000704, 833154035, 594290021, 751719518, 680751253, 634800349, 625135290, 540273924, 835991959, 899195742, 554378892, 929272389, 954045998, 574072459, 511903344, 994485687, 866138487, 571380115, 662295117, 762360903, 997954785, 830684551, 962155220, 517881791, 800426234, 636627169, 941797803, 736371437, 925382821, 803900031, 858983408, 664505036, 753570496, 789322620, 792777285, 986838378, 912152081, 829255364, 698074216, 951011465, 864747604, 855322078, 600111916, 735401563, 800399154, 521425085, 973197176, 718941275, 915413361, 582094996, 514320326, 569407078, 789336025, 623516004, 678858083, 540575232, 541845033, 609760575, 519339550, 639426524, 840862046, 979165559, 778484404, 534890827, 895080201, 825991191, 845714617, 766803199, 797176200, 735829250}

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    105

    Returns: 34887006260867142

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    95

    Returns: 42750915251260860

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    {536471607, 856520266, 868633972, 787062059, 910945508, 512035537, 812781797, 987779927, 773393940, 507618170, 800348979, 720126717, 865225005, 919428966, 914229655, 591021649, 501428708, 806264337, 868705550, 892113724, 964796557, 606242879, 743438275, 561634122, 616703993, 795717740, 786282858, 996577401, 667642107, 545660405, 977766234, 880821368, 773101537, 551142593, 955798692, 807278209, 578430629, 518165248, 555979131, 727466431, 966428093, 738727489, 756116840, 546194276, 724245431, 992541824, 578964022, 795316496, 825863354, 850922142, 846211184, 765053445, 540528770, 893882504, 509697359, 563840578, 519173124, 789871821, 742933058, 895804771, 821148554, 558703724, 835129108, 987521139, 756350065, 802958270, 714362398, 751090584, 957638033, 866849674, 989508317, 954114158, 641837976, 951671333, 810565328, 864222352, 921119485, 542731453, 877647768, 824250624, 932156875, 871385178, 910877490, 961858219, 670276700, 607809871, 980610075, 749025688, 619826172, 598721302, 982135291, 908487337, 736871511, 599402096, 775369413, 897766317, 951291485, 825353619, 784914736, 509464365, 946786417, 646096581, 835252639, 914867281, 669397378, 799026140, 753747432, 754961797, 622499724, 841785697, 639563500, 517080465, 823585966, 583123105, 820254394, 601349019, 957459714, 632645334, 617479348, 771317568, 744845559, 873262393, 933461316, 674048509, 647574010, 777189333, 704468686, 731336125, 900796845, 987012790, 545105024, 596230202, 718663171, 807201913, 615807621, 750343627, 560783818, 866581136, 803590235, 610158761, 960145791, 605033297, 788452888, 725147873, 978152000, 848048182, 659095736, 845124920, 597853908, 936048943, 935197418, 690060014, 993175808, 568001992, 569844795, 860821212, 768862179, 574708004, 724760061, 532558900, 731831416, 989749065, 504844846, 635478195, 750942886, 809612444, 510383468, 878584670, 922506691, 854026228, 581650821, 797507738, 873404380, 589748915, 956594010, 726319967, 614118985, 560553899, 782008675, 892560558, 559557993, 881544921, 817618429, 721432576, 826424718, 978175189, 678716971, 874406743, 861272939, 780285679, 581623028, 601079524, 705742205, 658779120, 796712233, 997402732, 597559334, 815739037, 680294229, 601208559}

    {606921155, 528705765, 573533467, 641374622, 781831136, 965636317, 649303120, 622564513, 691933682, 773887520, 682250809, 537099585, 653264474, 630026029, 944739585, 625100947, 829624806, 692590408, 676686276, 626148538, 672996847, 922152420, 842623590, 993171269, 995613142, 636695313, 670641710, 504683005, 688551310, 721573879, 584932309, 965756048, 555544012, 690379846, 811950419, 736267986, 940346982, 877236997, 640377216, 502871653, 733026239, 512501178, 886185992, 631338585, 940210327, 939562808, 867870642, 588012404, 933695886, 676005203, 904325195, 812964693, 792543402, 798053810, 600304636, 880226691, 639204012, 870145669, 836834479, 611050987, 995022964, 628855704, 865501588, 909315875, 954734431, 715867931, 552229794, 611658714, 765053170, 702024494, 778022034, 631202633, 684078073, 552330562, 518385570, 752258398, 955748422, 855026569, 775222374, 719515061, 939464319, 590203435, 816677388, 961513907, 881896303, 572591941, 904821528, 750176128, 555718791, 786641855, 946196410, 741605194, 746343571, 502626441, 719641142, 799289307, 782122444, 526220113, 733980537, 927302665, 529782584, 987792772, 823212197, 691024062, 991512605, 917743641, 703419799, 636151348, 514651651, 784502971, 503476020, 745319306, 911425773, 692206837, 579132051, 937071743, 744838399, 821142822, 858408323, 957259721, 536720016, 879335314, 511141772, 561285110, 829693169, 538991053, 534212315, 695143124, 867462907, 813842661, 710815960, 524167182, 546631112, 771758552, 632094293, 960406326, 852697070, 749666073, 866084371, 789429484, 856000854, 739137948, 701510309, 732025004, 691580385, 790637976, 812010414, 582414013, 974947035, 636782606, 968003479, 587718538, 985300431, 582048564, 568960616, 749306460, 746983324, 643363087, 559120271, 718543331, 878462817, 965931270, 571053364, 952648617, 508150775, 985720136, 730269535, 814630288, 867137019, 659920551, 577123092, 963014467, 861253831, 688306948, 542278868, 796048553, 943494384, 761459115, 781827894, 767953139, 978447528, 658771557, 737586126, 707032946, 686988951, 612841564, 644753037, 775315356, 873043181, 703015913, 674955495, 517806769, 638057586, 500957213, 798697217, 714859303, 956464995, 938712908, 690018980, 669447547}

    200

    Returns: 8745932238441

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    13

    Returns: 335335054412563100

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    {783681714, 944817822, 603139855, 532748774, 814144908, 582124204, 903983040, 715505301, 743459665, 745555019, 949415885, 857782762, 846950666, 812661521, 563574017, 978234199, 818278101, 771306712, 766703428, 567878959, 566981206, 563559094, 967405316, 826363162, 943814573, 510462641, 892186620, 526609390, 812756532, 584678327, 555947183, 569927861, 710190388, 601448367, 575686297, 678764204, 596632526, 884389446, 909027045, 518625293, 566237305, 749677149, 888067912, 746191120, 622108762, 728499002, 937886136, 777502686, 985618553, 606384363, 995948476, 522626877, 969538684, 766758432, 626885309, 915762724, 771177430, 552486236, 554809341, 994792242, 928408233, 945037587, 822963009, 847321700, 577783658, 939534238, 929397986, 897911813, 933771764, 873226002, 587660837, 663507309, 734953913, 709224446, 763266142, 593849531, 554133091, 829515816, 532792727, 634940704, 752803401, 681910252, 523992748, 596705230, 750438704, 605374622, 653247352, 678172105, 633086022, 728369114, 635025580, 693257192, 702869755, 639306075, 966234254, 976216978, 834756803, 861715246, 571301706, 572849506, 797047153, 544191948, 895642688, 866209558, 923555967, 531362604, 527348520, 617771715, 739635163, 562545809, 635744285, 515841502, 728100408, 726554790, 996861544, 963226340, 718592633, 894909128, 994419234, 696299183, 513499409, 676430408, 782162185, 594495483, 505626753, 614970236, 627678980, 927881871, 879720700, 894385489, 740165899, 851953336, 606931454, 989561434, 978567984, 888848914, 560339318, 595455841, 539412874, 861728510, 733143312, 614648968, 650357857, 671747965, 820698010, 692011196, 536363830, 855192403, 533496295, 775090677, 546065204, 635198522, 533354653, 810771726, 779382343, 558510282, 925211044, 510386397, 568653256, 659262701, 792558185, 939756221, 822655367, 613039913, 631128182, 899756525, 777775934, 624325094, 504834032, 570551981, 565406136, 961165770, 728150441, 777360861, 580374487, 522391719, 646469846, 586422113, 947012549, 887575527, 694179810, 771384118, 994628740, 618797831, 672494823, 596160566, 595077035, 808604354, 749669104, 937335278, 618507262, 649650223, 611261393, 917705926, 500015455, 708673983, 721947366, 625569136, 701993608, 660578305}

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    148

    Returns: 5575365267043959

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    {827513735, 784484509, 822176672, 982798214, 641956170, 531561649, 995370702, 633819111, 898200966, 781477127, 813344943, 980421652, 880180252, 587066082, 629501311, 621948501, 799382113, 853944019, 699430454, 594355677, 983076864, 898699397, 789200706, 849877453, 529575851, 520930452, 925998857, 805373920, 577835892, 502284908, 745055810, 926569797, 744556962, 920049859, 532157871, 601100010, 916438731, 596214931, 680310412, 953428311, 547979550, 792370848, 814887634, 748838403, 640153769, 746393711, 730910434, 942901730, 710397810, 891006033, 669200993, 809188026, 737126832, 515531827, 758273477, 829279394, 926087561, 840900203, 985588244, 652485976, 625667142, 792959866, 713528200, 515848367, 540284878, 552039782, 831515208, 737454282, 571423555, 514602378, 858490370, 504904921, 507335286, 972420749, 711776732, 806678618, 783486751, 561344471, 698454827, 522280002, 726646136, 503895901, 950811018, 539182066, 882459810, 762948443, 828221194, 816926903, 752382110, 662921603, 713103226, 635915691, 579959792, 660968494, 721721416, 533738850, 986314380, 817258837, 820464011, 530338195, 588750806, 558008309, 952711346, 529175404, 971646435, 584401996, 962824085, 626682812, 547813277, 720775836, 579213980, 871677680, 711670861, 507465622, 779583672, 811456289, 959085027, 774268851, 624395147, 851525336, 621346243, 727348623, 569802833, 668573846, 703835662, 809914967, 540781073, 960411753, 995201757, 857277301, 966180442, 587139286, 757379609, 592313455, 673333951, 623999628, 982078593, 583050363, 597498988, 515294962, 725615257, 804844100, 883201210, 930261513, 937709920, 511297119, 695806643, 521359696, 851984789, 522597522, 905008635, 830843214, 932709688, 690615411, 517949710, 655691954, 591688712, 572817539, 707896159, 667024388, 766813147, 962385464, 846579973, 888017269, 636534655, 966690507, 888309568, 797262086, 658843714, 961010629, 642752485, 809757960, 530130854, 680568971, 706528043, 744748957, 726403479, 896379640, 563871256, 933506559, 827368956, 720859789, 513582319, 844479669, 724528065, 982942334, 961073350, 644368480, 577150587, 817458863, 853142073, 793486394, 548660670, 992846579, 593862495, 841735484, 984993374, 661646034, 937792924, 956942096}

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    78

    Returns: 47053456646277081

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    {800501027, 771202868, 735387628, 907802357, 682626786, 535061364, 914921807, 668867031, 775603098, 715240171, 687682215, 765350650, 542178402, 628078580, 860101486, 508135826, 567271430, 817302647, 685320704, 650897464, 538519862, 971261315, 576476379, 860151932, 580900808, 906927990, 904102906, 864331020, 954775408, 893278318, 717812726, 527627071, 565520171, 721143785, 825531068, 578391518, 549442220, 516424101, 527500190, 820581715, 851550938, 726858015, 943114909, 509327103, 710655096, 513680097, 951567824, 969601211, 986822526, 877603155, 514027839, 516123125, 892414445, 526649757, 945544886, 665266337, 645129749, 845069509, 958021843, 596228351, 947574249, 837861437, 757508465, 525362438, 523810515, 828071451, 958449099, 594284524, 924815193, 779541736, 967564310, 522269891, 922466441, 907410561, 866548225, 830293937, 894867032, 543606578, 530080310, 701634396, 861063100, 941951005, 719877427, 821438429, 615825942, 617814581, 627936243, 835688515, 883044041, 875402986, 877923951, 506351318, 656087098, 834118229, 506919795, 739105613, 879798506, 680986724, 541101233, 998177079, 516488485, 559942545, 601363388, 939597449, 811829839, 789185494, 862708837, 796398191, 833583750, 849854835, 649097308, 763470368, 815779442, 941993159, 589543511, 685083808, 739081789, 714229556, 567757775, 630570722, 520018135, 908735268, 707101463, 660509578, 891017150, 512995157, 982559488, 711804053, 999350302, 873605899, 893531368, 921173363, 593669657, 688219548, 563718029, 528362221, 648152703, 691903584, 788176516, 511242976, 943338769, 633291720, 973406978, 558790291, 981757770, 739858025, 602849574, 769664983, 715375466, 534202428, 655257463, 814966958, 849431914, 707712017, 529694456, 957848110, 789999301, 717876599, 604657308, 756728862, 887543129, 554357040, 556963230, 699458173, 601078669, 787648897, 760497285, 851399055, 579316747, 774381029, 751453042, 929824520, 576010039, 918807597, 608476573, 590981879, 916107648, 945656821, 616947074, 819690844, 552062779, 568071423, 879127514, 678335589, 605649090, 831887791, 671252452, 877121248, 576320110, 770749925, 537058329, 815387784, 995744547, 595052527, 679242511, 874846950, 789963634, 530959699, 826144010, 751110051}

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    191

    Returns: 349920119584580

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    192

    Returns: 738235765443129

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    11

    Returns: 396821841550998556

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    {462693791, 390274165, 59012193, 242967517, 381007105, 357245816, 481630458, 64980014, 198799652, 164201020, 459200030, 395075388, 349800063, 328221329, 87835975, 242213969, 130729246, 492492862, 454039910, 216596122, 286270614, 103322006, 402036908, 367539604, 11604926, 312004415, 443107889, 275440740, 124204440, 157078865, 205685004, 453816964, 283181524, 215129389, 397488840, 386541726, 239032974, 434549230, 120454920, 333061479, 108315758, 443629568, 349051515, 488201961, 379019094, 419610784, 199112658, 164367270, 150711159, 264424089, 8624701, 217569715, 451260171, 273115414, 374446185, 78619481, 351696156, 474410202, 381339197, 360551891, 446136345, 375931890, 172866835, 441283897, 202073595, 464899983, 94764387, 401946408, 387668038, 335409958, 150505116, 154492958, 353240601, 129165362, 413613673, 161108238, 289941906, 102949359, 180380218, 289633532, 426647419, 285672037, 131408987, 391125989, 197264191, 139722202, 258706680, 191956212, 88244666, 87034967, 159509871, 316538719, 216097452, 407048898, 269412738, 97740645, 477501431, 293279920, 341590535, 3719896, 341121727, 461750720, 38994040, 407674852, 41444179, 140658385, 399547978, 279198588, 110602998, 75985045, 376022371, 256373193, 40161464, 458994343, 8432690, 287189136, 235379680, 53475978, 82106884, 207998389, 238889522, 300802605, 133299677, 422790256, 96407380, 315678530, 377791414, 345777014, 101505122, 384794512, 392743893, 274981144, 269317904, 280544424, 2658958, 62674185, 498117325, 418271726, 324673900, 324671262, 494480257, 13140442, 164618916, 103742789, 36402310, 496033267, 289683410, 228579682, 372236491, 110924366, 29917573, 207873928, 313827076, 241910074, 320688516, 261462976, 491048795, 299440307, 329709075, 62044307, 180482780, 494715219, 75254940, 76602863, 393670063, 153514420, 214140307, 259814168, 76600299, 109406778, 243057695, 271560288, 356579000, 29864161, 231347020, 113143244, 218939992, 127548894, 381467316, 466080561, 373668861, 41991059, 251127843, 10075623, 388779169, 199284880, 45980361, 208167948, 62838422, 133422634, 130137628, 94496233, 498976035, 48449410, 68564291, 296695477, 468866667, 45080886, 308525304, 412577297}

    {831652150, 896747003, 686667151, 657907083, 508668178, 634317853, 903615821, 859604158, 799721450, 800392489, 920695791, 826781081, 931954562, 598586866, 688608277, 843468960, 850758609, 532621993, 526511165, 960137567, 681112687, 898100687, 801429892, 623388440, 993938361, 624970896, 854725531, 695112904, 895344735, 765331690, 848719254, 526636070, 711714675, 616081385, 882009973, 684744145, 793974856, 737292493, 781846411, 901160405, 992529156, 998323894, 570503750, 875510581, 515527019, 891095420, 502015169, 738492133, 704905189, 893859556, 866110308, 646730818, 716134544, 727807046, 559824696, 653866350, 679785377, 597991660, 887097630, 893054846, 799932797, 616874075, 977016027, 908276780, 661440734, 649397613, 913355042, 873532913, 905634370, 863598594, 809205362, 964425107, 977088104, 968140453, 902249399, 808108161, 904703546, 578016530, 585618826, 898188081, 809129483, 824250751, 719651832, 539815015, 846669581, 602540549, 612444019, 893830402, 665500244, 533673283, 705970961, 505775203, 900882987, 758167118, 685749673, 868808290, 893761633, 676403608, 523360679, 668766338, 712902717, 710674592, 590415243, 963733382, 897651073, 701629713, 837155759, 503503359, 807692972, 822220329, 778583537, 513740158, 811401559, 996903340, 846267768, 632426083, 628635972, 895469972, 700626215, 977820168, 782065098, 613247322, 910342182, 736604615, 755952189, 771289470, 863555858, 642041039, 855006095, 891833799, 596002045, 645176075, 527726390, 677290959, 556218523, 864902792, 821964459, 672776253, 501711475, 537483750, 697051013, 536434863, 741211913, 922188416, 890183942, 764227332, 804829223, 869737335, 918236732, 930896985, 716933985, 984205167, 711808862, 585936487, 701298112, 584855824, 862602187, 898937999, 699105295, 825430876, 626439579, 877003572, 929220217, 840709841, 638083354, 629109372, 856234163, 792375614, 739493906, 800591845, 572189079, 525181890, 881360268, 747663374, 755617747, 937113070, 515426658, 969225128, 850548998, 658374056, 698548650, 790422561, 721876657, 683138077, 876550258, 513660363, 824422934, 982134480, 567915115, 914423406, 969789936, 733256272, 713465905, 884722073, 626944529, 805504768, 636602892, 713524601, 924152739, 794595098}

    {982242395, 502451465, 685518998, 921426137, 534895735, 678341914, 544047511, 817586426, 715755066, 825569970, 863097238, 651111470, 723366926, 537998697, 874276218, 794515865, 997411339, 853990897, 758398540, 832300398, 886495934, 793187222, 724754288, 759589506, 910064540, 769154595, 852054503, 707062627, 583915639, 605841770, 885408340, 582827714, 552760152, 638287363, 994138385, 591829249, 601705294, 525187114, 998581501, 711437206, 577429673, 556904292, 900336664, 935169829, 649266056, 919264631, 923365021, 696459504, 970405001, 534171086, 971162329, 696014825, 889666808, 632467326, 915275440, 925536823, 587146927, 506835767, 549566707, 708319081, 569479301, 509099498, 730043377, 538064049, 625688907, 585901504, 716192358, 705859639, 535777845, 655401540, 759975731, 563447876, 688010988, 689631744, 980196037, 989057569, 769205387, 855475418, 529499873, 850947141, 547585602, 898506808, 827121341, 553965021, 772689057, 624067887, 625985280, 726438676, 996875633, 945492250, 667587578, 579585587, 602749628, 643561348, 522462630, 893217944, 971419483, 559351345, 638012111, 886194608, 629810850, 560637660, 835162314, 968236028, 861324664, 698399675, 632786195, 882892894, 886488026, 594781956, 967690168, 540920356, 773525810, 889255644, 627339120, 822395216, 914975036, 516422973, 584362214, 823036007, 781475123, 963768437, 992877623, 757415272, 643346986, 533952392, 506821273, 789842574, 959186217, 567560124, 825449670, 725952168, 889774138, 595178524, 510088350, 612517879, 515105813, 575324705, 985103927, 759547152, 899416122, 718400309, 908240920, 864733716, 554727198, 611460119, 937718287, 516381916, 754578675, 944472430, 958614514, 699679372, 620177377, 579076381, 672226570, 692527877, 756088605, 757106384, 616561323, 683788537, 532996112, 945157788, 700093355, 716830208, 866672951, 577087198, 586987923, 818005468, 677581000, 890592500, 564904457, 991366849, 576404032, 679120679, 713274556, 849061195, 825088890, 562164448, 625116496, 593513654, 856256776, 676891511, 684991571, 556705942, 959380122, 844892784, 563011009, 943705490, 598910541, 552683526, 749130642, 989180798, 928072652, 830938973, 741281318, 950628997, 528137352, 595510603, 717233889, 575350359}

    198

    Returns: 53625032331948

26. {142405024, 6335582, 216338502, 157377800, 266383808, 238264432, 466998177, 52242484, 418717813, 96040209, 133745380, 266334889, 349981841, 311011968, 143031920, 319113207, 411987829, 449099940, 344794473, 241846363, 18875922, 418466591, 420472559, 195335263, 226800805, 16358108, 20274549, 140569994, 148183718, 414743838, 443484659, 290438530, 237324101, 188966896, 484328331, 225349997, 21407542, 411285997, 433654641, 10923890, 20539303, 195052433, 375642672, 34133598, 103055410, 76193578, 367943297, 106487406, 280713075, 152664347, 3443074, 237379923, 113520224, 248606456, 48198951, 253958396, 495753027, 113542124, 331642024, 178001935, 119728509, 64043838, 101946113, 3953230, 191658412, 117081542, 314769419, 295984396, 380757051, 367303344, 186029824, 170278773, 232478374, 320192476, 8735845, 289796118, 388261679, 38613140, 38808817, 150237537, 138307891, 375249247, 94461897, 252671309, 199643247, 93096641, 493892265, 98868409, 447923313, 31632892, 451909379, 21500708, 311484816, 186949044, 212702910, 181161590, 403138045, 425892915, 213419817, 170695119, 328165009, 27400397, 269089047, 335050560, 473800310, 63500959, 295017213, 93292002, 438362027, 418644834, 122890294, 126474097, 240172081, 110726666, 299652372, 91170829, 96764107, 10348324, 333594990, 132250650, 100233837, 348420619, 68740392, 420350168, 48106429, 465074085, 323442923, 463806386, 253653869, 232900060, 188123330, 106842005, 447239411, 153330176, 285819192, 218930993, 266441101, 306301577, 380755322, 121377846, 346167240, 290267895, 491509065, 405192646, 165730450, 166993596, 47217492, 391978116, 452379385, 360671620, 29405104, 10125931, 20141651, 235765717, 258639869, 448531093, 141376147, 267545410, 86156694, 142219276, 369806857, 321386309, 362830776, 274289174, 147204268, 245115146, 190191797, 176887104, 427583423, 206972078, 359478149, 142591558, 489854348, 427731824, 394937666, 462969702, 341452397, 242264858, 366310811, 499365978, 302703842, 339497923, 246492137, 217024100, 300679625, 443826975, 60860757, 407721342, 136413776, 243874863, 499147991, 53402839, 321316395, 318376780, 222926516, 449811025, 294286226, 296583798, 199053300, 135100503}

    {262912710, 263155574, 350448646, 317911139, 114354345, 217337941, 407097455, 354623971, 105398615, 96960521, 411780094, 257325151, 100926348, 254468068, 238137791, 248569746, 498794762, 240215230, 198140144, 21097641, 1101647, 137585013, 195114708, 8166456, 121209666, 156058317, 168764885, 200850331, 486691523, 226187213, 67428358, 439519161, 456294180, 459596311, 22902809, 358275352, 207223388, 38028869, 463588266, 309019778, 22458898, 195539145, 424075000, 156794791, 36513087, 89289085, 30118944, 208391995, 123419194, 420397145, 484145820, 290598325, 146489884, 33684817, 221352394, 349556733, 124222990, 168907738, 225506042, 153566479, 475377957, 412026430, 44885854, 427120164, 4390530, 8617472, 142612537, 227538904, 194013272, 285834611, 434322737, 35490631, 288735837, 152274805, 155083998, 219899915, 180536825, 171625544, 271066104, 411314677, 221403484, 74588469, 171659243, 76773636, 42511148, 170074369, 210654017, 43555095, 238794005, 295260482, 99988320, 177951276, 222982185, 255141653, 61264289, 132406910, 488312195, 180389950, 46382633, 270810271, 100534524, 14747820, 8607257, 317244328, 167348666, 494511292, 200698390, 435304412, 380881129, 179680884, 206229139, 95793875, 383085785, 359181122, 476145047, 154868439, 164602180, 115358549, 220353834, 490108334, 321843099, 176335129, 281433129, 256579994, 34232147, 383191426, 282648823, 16568624, 427527249, 277974729, 329508964, 171369339, 364553576, 82175086, 163708917, 482016064, 93229628, 270270436, 273214667, 315293907, 39393031, 185696172, 328601564, 354740349, 447725933, 74799797, 216053544, 337816266, 467164186, 226831019, 384854422, 309967786, 296695607, 458307403, 89320083, 87061287, 499180616, 361655072, 240425845, 333141214, 75861697, 248114931, 278743095, 220516724, 322391573, 462030354, 204285803, 28081677, 466508942, 48457848, 449995549, 84087862, 230772587, 183395746, 364181556, 273510946, 158168843, 8383671, 175564538, 201689444, 406728868, 491580842, 217073182, 388711565, 445083845, 196368865, 233971931, 276931198, 317309471, 379072015, 61242714, 101768953, 40823613, 484378828, 417914696, 406190152, 483371426, 28243883, 433766804, 207606328}

    {885881673, 611643506, 662749714, 812243962, 833226007, 853606184, 983549163, 575666200, 899972191, 632117255, 853932528, 557037828, 907678336, 918432647, 740423820, 742238755, 925436617, 860472623, 712028421, 796609722, 819550691, 707855504, 847973529, 811023317, 985938811, 670073806, 816131211, 700227564, 804352693, 641263070, 552626384, 524798973, 759140747, 901352153, 661251620, 587597587, 686770473, 774698501, 795551611, 579187776, 764700079, 941849829, 541282545, 997589452, 653090374, 762252643, 660795366, 777859074, 597102738, 878741349, 563109519, 530795710, 852912056, 754803752, 532914888, 691727094, 717750569, 507066566, 570598008, 949464997, 779930694, 851702245, 720813925, 533858062, 876172626, 660951331, 610068566, 982347118, 765112402, 922342719, 724728217, 845534163, 712553530, 745421834, 966352953, 674161910, 537698010, 504324915, 743988291, 536328571, 716352981, 965281501, 844229466, 591892344, 864351913, 824796546, 794368308, 959500379, 668151508, 593457238, 662215584, 773031346, 784437668, 694552513, 775879797, 724397730, 709669871, 647977436, 985084097, 702966965, 957527872, 751578470, 697370431, 555336205, 767074852, 671799273, 723710248, 601957776, 640967765, 642349263, 904862648, 507806102, 672221546, 720685763, 599242365, 514674169, 674388191, 823780352, 522536134, 959068385, 579209054, 760184338, 770867950, 780586655, 598384921, 967571510, 506571596, 728097171, 716785873, 522069963, 789668376, 938728583, 846595355, 811617815, 843454951, 970390841, 844176652, 702763233, 749698861, 665140317, 844896365, 816698844, 641480173, 978653315, 881257391, 533960890, 780529313, 518006896, 797815140, 985213399, 526969292, 746551751, 921228743, 866788287, 990321875, 716255928, 956201628, 956842412, 996531943, 524892034, 959089447, 735209041, 622015380, 806228654, 806720654, 816508903, 935728536, 880854377, 713056969, 777216990, 979456127, 735744119, 755239662, 792786997, 918796729, 951315501, 614146873, 675643842, 706095494, 693239955, 738908287, 516459042, 560877518, 545128009, 891965506, 919129445, 900993032, 902590099, 891085862, 742302295, 559580931, 658747277, 705486969, 774591794, 635742629, 830250321, 864640748, 863652789, 652182957, 706535248}

    {641502541, 680822219, 837469050, 866399297, 515284025, 812953359, 915180015, 664466366, 850173160, 509835090, 972707653, 625502248, 916987196, 773303495, 577903250, 846658953, 806326335, 973644188, 944333949, 952810503, 874015203, 876195146, 651475987, 565022764, 830498121, 597293262, 859651290, 615173379, 840885807, 751049760, 834773715, 708593068, 849801238, 987744330, 909506406, 531970947, 594155305, 841580219, 758176652, 572046454, 657760336, 801285241, 966308363, 987379260, 553122376, 697482004, 679855005, 689042215, 936870942, 830914874, 874669910, 978597170, 596714022, 827594011, 507428288, 940008066, 926974579, 969221878, 864894336, 577839273, 876862439, 748504420, 986433359, 651679727, 948969832, 564462225, 520092185, 722606969, 644492744, 994295921, 709237127, 732848192, 954393536, 788920979, 748261423, 598435629, 545261226, 961551250, 807916090, 956419736, 500352244, 934875563, 977479206, 538882928, 571450416, 813535526, 697553844, 852813698, 937233780, 848844872, 836675952, 652584121, 961126810, 721753080, 859974370, 910960512, 851199859, 958865269, 615669782, 658106973, 579624637, 938910072, 662738367, 877738022, 788096660, 844586522, 504312727, 623470625, 727492751, 557914595, 618385541, 711056973, 985662622, 900277679, 761216147, 892020465, 859505276, 678677208, 945038331, 976298346, 706105885, 602858755, 869994565, 915292762, 816885587, 554573828, 995976436, 775648637, 736464084, 595485031, 882589040, 696583919, 746275089, 782662645, 861704703, 689317556, 993417754, 772448401, 575156593, 584776439, 884028656, 601889931, 872613935, 566792431, 525339023, 532527228, 670938436, 532673576, 815142877, 693157644, 512825991, 730908494, 934967957, 681679514, 567138595, 734207279, 657295265, 886745147, 651021708, 650026216, 590039706, 919233649, 915434592, 990708601, 946918344, 923716431, 906074017, 955960975, 992308398, 551025709, 956493845, 887640437, 933489412, 804629940, 613113583, 751130540, 626161283, 849045881, 725836439, 857944047, 526396689, 784067227, 898881846, 607689643, 734772350, 653156718, 504135319, 635481085, 830795973, 808062386, 560200640, 982511492, 569244769, 894201543, 732212587, 943359330, 859855018, 744798676, 531527849, 708390387}

    160

    Returns: 5181765640338998

27. {216343135, 268255133, 478317951, 270196103, 100549887, 307311910, 231094274, 111205681, 422775651, 218086708, 430291263, 455169077, 172857464, 47794141, 377805241, 474429427, 91493746, 476436803, 260990576, 36926800, 55607875, 84233889, 411131487, 163721960, 111464893, 11464848, 68748824, 62158302, 342274544, 34036910, 258333625, 92785081, 236247559, 45436466, 151800051, 478930707, 244450346, 292035233, 84966499, 122411269, 243415929, 255500198, 7622943, 136003152, 490522633, 159633816, 211593827, 115047813, 151880805, 149581976, 233294809, 399182162, 83576817, 118826652, 5591430, 34646083, 238405179, 133051409, 303648065, 273875813, 263897955, 455373869, 368395361, 140633133, 131730126, 166857803, 411050869, 82100611, 92061611, 111648645, 97044892, 140950777, 215560419, 30433691, 330424129, 433452650, 109862531, 200209373, 279665330, 413918972, 28416972, 345595210, 475982554, 485456401, 455605456, 214872895, 472892918, 113759183, 369420531, 4547141, 474195959, 414416975, 202967341, 429125024, 120914712, 345706122, 430255075, 434134125, 205466638, 70759354, 189456625, 445889971, 432406245, 87570234, 282830314, 425331847, 447656969, 400561160, 130631515, 499681100, 367355397, 126506398, 375196487, 199424469, 12652906, 31196671, 94981695, 420273390, 460599799, 346803063, 438193343, 170329272, 367500008, 279292943, 426716947, 389249699, 463661613, 483812048, 420647614, 39583170, 422553082, 58855069, 249050866, 480112581, 69235545, 75301453, 215849429, 146577928, 27805782, 237037491, 400457510, 455552763, 210064355, 84198775, 92157783, 446115635, 301275656, 477930476, 83134985, 143172948, 193703342, 196624693, 152854940, 369915622, 125081524, 52710320, 473759026, 497960633, 38501793, 59953473, 68493545, 475430793, 239067542, 428159051, 71579937, 15291265, 87462175, 205787570, 100804101, 212986073, 406191860, 471735030, 12788949, 418103874, 168431153, 59064284, 362437110, 363151689, 305347686, 382137972, 219053249, 362357123, 490566901, 298409891, 499271379, 62849669, 257196729, 379057569, 196599704, 36680185, 92987585, 9236924, 340875313, 496146250, 170532410, 402389125, 157797913, 475033349, 115446047, 190197203}

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    {805734494, 530747579, 800591353, 508132203, 620044299, 991856473, 662928357, 591368223, 680166147, 841969605, 561427689, 776296496, 845719848, 612666101, 608492732, 576507825, 849200263, 748594226, 887733505, 584291681, 566528356, 637069609, 856912773, 887626795, 603675821, 526998253, 773814146, 799173426, 894834774, 912471292, 906302279, 548242365, 692673105, 922142950, 982807703, 846208632, 744466711, 809596310, 909589175, 523573653, 749213591, 882046474, 781014930, 715491133, 707150229, 934626429, 662781186, 969609226, 919653349, 994161353, 682868935, 857321424, 930069451, 804112725, 864854783, 540475961, 692381627, 964087403, 762402765, 818261459, 633273642, 782506109, 605914088, 827852049, 665050302, 532107270, 869224229, 982499456, 528425445, 564091099, 744418137, 778978277, 697297061, 685113489, 856336455, 528199613, 694198578, 688598227, 783930391, 970464200, 727303204, 938533098, 720192527, 534109957, 715070795, 663069063, 952366117, 852233028, 715519619, 942281904, 643212272, 853842651, 975400710, 536469790, 969598067, 912359361, 586466509, 592588346, 852251267, 981521422, 605815414, 870014555, 869089022, 648732399, 687824030, 871155285, 702899714, 592812366, 924719016, 610302727, 885289794, 725539034, 818174694, 594580718, 703554074, 997812711, 741854419, 592869474, 516660555, 821920824, 664785686, 647391474, 824311626, 641206593, 868650558, 764549217, 630709078, 642364139, 828600619, 969295652, 720241178, 553589212, 524305535, 827059131, 913734360, 700625988, 651044470, 799163181, 842663111, 878419401, 525243407, 534397320, 555392310, 614820909, 506821332, 778788718, 913750029, 997011175, 527749212, 897598639, 546219639, 961175222, 682415481, 834822427, 802516757, 756877721, 514526511, 886743740, 903976903, 741400605, 619455658, 921452055, 649164139, 697697996, 826827224, 944559512, 584722681, 835978778, 825687258, 542302587, 658195515, 856548251, 712336754, 816932660, 707098947, 921623562, 843117765, 545985618, 846223003, 850626331, 710744069, 768061496, 518444323, 933364975, 995984515, 704268936, 501722672, 784216956, 770938183, 520038535, 675955217, 733396407, 591494373, 516187901, 520862597, 609858746, 862943068, 570775330, 629329318, 860109680}

    {722475793, 630760131, 612707854, 884338551, 691008200, 813779546, 650055532, 576376957, 895594703, 516417993, 709164622, 833756068, 776634405, 717721615, 690580585, 893587566, 748141067, 743252897, 503705809, 723894121, 580951761, 547876247, 652386033, 810827851, 842435061, 790345768, 773263202, 520410622, 903929668, 822692111, 808242240, 721268000, 930104881, 629718818, 974861477, 707956606, 524952093, 815800317, 623383682, 631004715, 667171381, 965787502, 786888548, 957708683, 791882385, 905837071, 594947494, 666711364, 659993119, 671547829, 564404898, 571869445, 868338996, 855877354, 755416148, 506508735, 762397007, 527702740, 888535587, 534580193, 692158599, 855463183, 727554038, 988647367, 610128885, 751482714, 980940413, 706761109, 961749754, 814640648, 814900735, 579578629, 969699146, 963737192, 569142222, 956816281, 660459886, 559713265, 980555539, 999309172, 859995416, 970268417, 806412201, 540326840, 969605549, 979951038, 659965691, 525361357, 854959386, 537235746, 540966400, 891965444, 516005047, 777874569, 765791081, 728345561, 996010017, 985101176, 561692186, 734512568, 789571768, 720313237, 995844555, 795893430, 972475620, 764004515, 861403531, 954150517, 610644261, 886817312, 899893040, 750987233, 813424288, 951647015, 873889577, 550424139, 981790365, 811783887, 908984327, 898568523, 909395246, 631683867, 563005821, 978068668, 853402805, 702457666, 794232030, 524897375, 650668355, 625952398, 776040500, 509448693, 868402299, 713945810, 833968776, 734999931, 883892471, 554245665, 775484775, 707745117, 872235855, 639442833, 638645049, 518248690, 560887630, 739875060, 628628224, 898034976, 579973068, 890603777, 707445817, 720157924, 850319686, 638680022, 981501962, 813427783, 585690533, 803556691, 636763993, 688230936, 926553760, 536837389, 562882256, 984300670, 608421333, 966069779, 926954453, 957709982, 578264924, 548764882, 933173673, 890919227, 834642845, 736603742, 565445624, 986321085, 694674772, 938774271, 693094993, 982411400, 576857009, 715638102, 851172519, 719722999, 555824352, 815638871, 869996855, 992166721, 712152874, 605280664, 693324340, 611402007, 575392281, 664053157, 740748092, 989990767, 635583682, 931494640, 865928927, 619936079}

    161

    Returns: 3672434006026668

28. {338633187, 356266613, 339703483, 173058594, 217400509, 380928893, 472769543, 100453590, 281469894, 267441151, 78961425, 381051096, 246180629, 342662439, 29482366, 381316206, 179178949, 303074506, 347373071, 67239944, 238800581, 327773881, 314185903, 205849939, 189736820, 154185146, 34470705, 239554782, 181930211, 46016007, 287212158, 223162063, 121944806, 135818353, 315649320, 242854205, 52230517, 293881581, 401369198, 472774806, 234352251, 255881984, 394372697, 342564534, 143319153, 463863241, 83926302, 449086058, 387693384, 128191898, 475708467, 181320125, 373172333, 23846396, 160644010, 122474572, 422844798, 242266231, 371534303, 391932314, 257875096, 276194204, 327224648, 4633803, 340258524, 475252381, 204462743, 429681462, 152813362, 343353509, 94166410, 218040203, 106341996, 358596902, 427076566, 423526855, 153583721, 62482368, 146502464, 470198427, 421874009, 178058490, 477034165, 206898, 226230766, 135426679, 401038442, 354601591, 477088581, 306252040, 77696766, 136347744, 356587328, 290415958, 365548898, 230565661, 288340922, 188743890, 199582268, 367718855, 142297459, 470895530, 211534457, 53315042, 236085262, 197451519, 258707716, 100698075, 130772417, 169607677, 207382006, 229780280, 145978603, 446719467, 41960333, 331036436, 348659687, 230706556, 499519615, 284805669, 279271292, 38252728, 262245864, 233685682, 20029307, 339083337, 172835079, 97229953, 129311941, 295887875, 243068180, 419565052, 420874101, 292291347, 114482115, 130214513, 440928029, 289201512, 362841350, 198323747, 19832892, 256254544, 381265319, 52750980, 387552956, 470050878, 384136460, 324920101, 81190742, 448359130, 166188825, 156298826, 175357916, 495342368, 345486976, 363506684, 468992071, 5955482, 339007838, 133718509, 362290126, 99839330, 129185539, 206580138, 466073150, 306929333, 408850937, 87033245, 74059689, 408734612, 359806519, 263046690, 117287362, 380855482, 46085395, 365052325, 298027572, 98776983, 140723087, 99818611, 198839740, 34167828, 455272515, 491639395, 428882944, 346182070, 423659177, 477037905, 21179871, 55631039, 50599621, 145296164, 28945037, 383447146, 114459955, 272397788, 63971008, 30639977, 283138045, 288837670}

    {134886532, 143067529, 135241779, 146484472, 84870340, 255447473, 485983728, 174670736, 100949541, 17856367, 461239663, 140071806, 29768644, 467958892, 217775028, 242311116, 397494926, 20731271, 421038901, 479602477, 394644448, 374237099, 363431133, 114758511, 178450833, 479393775, 283848777, 445313862, 68745953, 324981438, 281815618, 126532511, 308542352, 356306343, 98557749, 214812457, 335298349, 383193367, 444800919, 437766439, 218616340, 296001228, 34222555, 360669465, 26979274, 107670188, 282823905, 44725109, 126679816, 408861138, 178255835, 384303273, 325687655, 393176628, 142224854, 471075545, 395953465, 130105167, 15049837, 39896154, 155601794, 324033342, 127394916, 224473834, 443851695, 90282763, 279459265, 492324250, 262866982, 426548903, 423943597, 447493276, 236105114, 16773975, 362287287, 210323750, 87417385, 290569790, 150745245, 468149393, 275819366, 395953010, 134868599, 490471495, 399601012, 41937461, 476786310, 151905522, 348162398, 64496131, 115217741, 264877680, 140209280, 167065045, 3818933, 319883135, 391695591, 66562672, 169829945, 167383402, 321692515, 19126014, 279628832, 439352233, 121272076, 152756494, 122684741, 350271544, 472581342, 161339921, 70214228, 340333402, 473637238, 56838531, 405937869, 137409485, 287107072, 184364326, 32682955, 295219490, 265872770, 48756864, 386601138, 168343888, 61565721, 91605570, 75878136, 462406787, 187408945, 480663192, 98191297, 453350881, 34274940, 269482393, 14194535, 484540630, 228556865, 215527455, 139625141, 368862518, 29054139, 133893226, 472747922, 196775354, 69623170, 475479374, 417442185, 154681323, 406044319, 109987394, 319808849, 399573392, 407752210, 467152961, 450274420, 201101251, 492792281, 313349000, 421673671, 438091200, 499451522, 497567671, 172447022, 126705370, 376863281, 38373364, 347179369, 359066853, 249004945, 279832300, 104496450, 148810492, 481522157, 62118836, 204503174, 235669510, 43663160, 458499165, 215108602, 209885132, 361121956, 33995407, 110057834, 314230889, 318560959, 372649903, 273758024, 98915842, 72680873, 499597864, 6724422, 213226526, 80691388, 388537094, 473641124, 134154563, 248398351, 389379299, 12164354, 286104219}

    {747560365, 630773187, 508447298, 894678189, 581688443, 751246684, 689930646, 546771290, 819779758, 845726744, 967749299, 983495910, 707060653, 960046607, 609281253, 849007243, 665166297, 689401447, 661588216, 522600916, 605818477, 565756326, 653701596, 879782304, 814567567, 895856406, 607258473, 985287105, 825554363, 815165726, 550986756, 780685941, 726826614, 885605200, 672384750, 614320542, 913115482, 904261990, 969367795, 524653990, 724442861, 902530122, 609451318, 951132782, 791274855, 945676589, 951620366, 734048702, 864423433, 530283068, 582959082, 686448956, 580121104, 850621177, 713235769, 684254640, 630394791, 950133756, 803123083, 655298928, 800930555, 958540822, 766105447, 803404554, 889063367, 953587554, 675879668, 555792331, 940934012, 814083032, 971965798, 671500889, 911679569, 622508899, 612288855, 645031033, 920576061, 888143981, 995216730, 926020041, 892068377, 717486385, 695704615, 744636642, 555953794, 702585515, 695432308, 662397256, 979346471, 609470865, 956980203, 567363703, 614874063, 764285535, 604056671, 740534113, 980642069, 562582597, 559034806, 891337815, 957991439, 976222863, 982150306, 500606278, 875785765, 891844463, 859177742, 630754035, 526787352, 530462763, 625911077, 693958124, 973856017, 716644963, 948573595, 511919982, 709036562, 532215676, 555468914, 926540498, 992778192, 684441655, 671098083, 529549400, 846129406, 769153491, 715476283, 567249637, 668142741, 577140231, 940143853, 732975293, 602200165, 782595595, 910935357, 814095982, 696812633, 992480116, 553082521, 546269816, 752970623, 841307899, 793762107, 915491803, 580710335, 708533557, 897465258, 591095967, 575073349, 832182536, 803324444, 677112573, 980223615, 916722226, 714718910, 860548486, 699047281, 750665962, 532137690, 695812696, 589693123, 803747932, 626327613, 596224392, 888228993, 891725364, 589394816, 550438769, 854557910, 657499629, 627837617, 696401267, 544837495, 971273859, 516845942, 831620736, 994917846, 710663133, 984950595, 718321131, 750672615, 521316085, 676320133, 640870735, 769216591, 708260647, 677110106, 710288677, 529141510, 804790346, 915996407, 880943391, 512610106, 830326059, 577310555, 691388082, 741032372, 891015826, 778374952, 838385362}

    {832549247, 744476868, 636030696, 501878542, 577968227, 645087840, 792752252, 837163872, 536531651, 700395907, 630001835, 641984632, 928494130, 975134625, 834224918, 591672892, 632999482, 790302575, 623754714, 718529712, 773585267, 704452951, 554654061, 723988912, 518163847, 646821586, 948900149, 860174171, 851002978, 662892514, 589847362, 526218748, 829582303, 789785304, 905074640, 597917048, 736779979, 669163166, 652240412, 781825008, 503340852, 556827897, 795602721, 584388775, 831521012, 566188171, 601818601, 980398742, 654105717, 853850026, 951780915, 878633091, 622877866, 706582092, 572322489, 868307210, 957794417, 925558231, 514290005, 501739001, 995340633, 629649290, 991505129, 857855677, 543868992, 739088315, 904424160, 607045141, 589889447, 540518184, 714651943, 544920039, 774481743, 806457394, 843268071, 968299941, 773578857, 827889849, 731254192, 644741910, 725346618, 684057612, 951215866, 530167249, 979148596, 966347770, 622061777, 880219924, 786335925, 891619821, 777574352, 874419937, 742062165, 988477461, 754397852, 676341367, 885538323, 573928648, 911892488, 761719379, 573632251, 745926968, 827165214, 876581216, 646834847, 919815722, 812690139, 579009511, 923682436, 578516931, 951160500, 896081453, 554438062, 767835885, 743763612, 766789512, 672847096, 576095833, 891330209, 932164476, 855611655, 882014763, 868156996, 783224590, 582763386, 676503654, 909476888, 531187872, 879787154, 532725610, 930614588, 552392721, 921945452, 621031090, 787980321, 874843100, 535580264, 552578603, 983570432, 809827647, 848925564, 822456409, 561289977, 971797728, 526390153, 935333651, 500690762, 840692289, 953083456, 605798073, 967552150, 665359235, 551064022, 755518365, 996248029, 517631290, 984948127, 566692962, 574678182, 995225439, 849749221, 606930578, 829225284, 550411523, 719111233, 680031629, 771607816, 690223131, 889658357, 788032403, 614626207, 935453586, 547984116, 583151169, 775523777, 764474565, 797641232, 617722808, 861681460, 835527820, 737224295, 825166750, 636518764, 798343799, 828821850, 871212290, 847349969, 587432670, 556633271, 738295090, 852250710, 738359335, 881308794, 855522954, 614160036, 948567689, 941671032, 807342169, 554250004, 695482763}

    162

    Returns: 4136631999665434

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    {816019413, 668934714, 790871353, 754994585, 803878771, 682929625, 600336346, 930689251, 989404129, 685941495, 714221595, 640187548, 932545679, 870038231, 920428367, 595991368, 559318222, 563415529, 552663146, 993158725, 538625791, 540528998, 564756653, 703177261, 744703007, 544588612, 583533072, 786904696, 691106289, 517940871, 802180222, 809082266, 757319987, 516077718, 643352197, 630739858, 636833890, 789694630, 705467877, 761977897, 570839975, 611372700, 640591323, 693592615, 671504678, 558942546, 979689402, 771172518, 506431360, 871732592, 701709314, 716636222, 970168287, 833337795, 803882275, 665524750, 934080858, 859572225, 647790166, 977349539, 833501412, 991019297, 556567094, 515324556, 635418442, 643921255, 560404728, 649156233, 655107751, 664567291, 593537610, 824638035, 501795439, 822184826, 700564353, 923983617, 523223553, 714483595, 676249389, 674868642, 887009220, 881753073, 576030048, 551823222, 560925326, 797218826, 522647375, 700307504, 610688131, 754330539, 664738993, 687076727, 951636915, 532791874, 716720897, 859888948, 602187292, 627017149, 746699520, 509761223, 606024398, 776056843, 661488690, 658460887, 777341502, 618383403, 568116525, 526819552, 668087147, 742988803, 783399751, 754798755, 674190062, 872531323, 705895102, 771962831, 560722908, 764767525, 929358729, 863401344, 757286387, 816447419, 643221499, 822026693, 578634429, 646365972, 706888268, 871686854, 500659602, 614791640, 779043422, 858294283, 978837291, 988181464, 686237249, 810920980, 685163887, 778342300, 723680513, 957804404, 786446924, 890796120, 719188324, 645139343, 841588410, 526157068, 554612479, 622753642, 674853991, 707260926, 846946148, 940019362, 779634635, 598294160, 959517279, 637372322, 861264535, 682708432, 759629584, 552987411, 983608806, 997907211, 880143159, 815948211, 800542578, 966794609, 658303047, 660551050, 862022230, 622247788, 947840423, 565310889, 723413751, 952442508, 545163563, 835254918, 974299061, 761750092, 977790025, 947197755, 861507297, 677433011, 975767964, 819223783, 788034031, 652339564, 887637040, 674694477, 558381548, 909674996, 558555162, 573006594, 881934767, 966760092, 978900977, 843451494, 854776252, 835428577, 598582122, 512088031}

    {704228564, 616195238, 839425469, 836274377, 850946790, 673211027, 604917895, 691025262, 976802672, 569877617, 995933974, 617294731, 745436563, 867895681, 638058261, 809679626, 947778898, 534814617, 831592539, 722119290, 636454921, 914964992, 736801718, 606968288, 631329451, 712156046, 921593832, 625382335, 671927726, 854651792, 520739877, 611250252, 795461556, 755906141, 983653293, 886758600, 652465034, 873575723, 544257848, 949488718, 574782662, 597796937, 985618566, 936490236, 951951356, 722265096, 552783430, 787811497, 944351535, 816068134, 926507475, 526363690, 682032782, 569937278, 828476007, 936053190, 784176354, 966981004, 529100752, 524640534, 738638545, 584466777, 591274563, 894842200, 557715963, 707286835, 708607298, 821506045, 789633001, 786153953, 910186276, 764649646, 762366437, 734074908, 518510310, 986421926, 647385188, 686000456, 567541636, 737321726, 612049855, 714477820, 673833209, 533596560, 635542724, 914988484, 956110923, 727084881, 549775386, 795215881, 584667606, 883830686, 865083915, 716978110, 874401701, 580810064, 878490085, 966308387, 924097349, 922083612, 678172337, 758988159, 611839207, 527931625, 908100397, 943712628, 743209552, 976170263, 703719847, 636806494, 781604742, 897130999, 631965570, 756751674, 717958613, 983501765, 781579815, 982417761, 987627749, 791272986, 583617883, 755041231, 708949386, 821051278, 674273887, 570800838, 767481700, 665841603, 921941496, 527901937, 784029408, 579850767, 621299182, 948499116, 664897488, 519300276, 849651423, 718141655, 572564657, 998704558, 528331274, 905821736, 963852026, 917061414, 850318743, 554056678, 950672682, 604621125, 867969457, 894072409, 629117066, 598929221, 890977515, 631646460, 989710456, 873896720, 840319145, 993489700, 617545169, 761726835, 987169999, 965434265, 967575866, 779804861, 935008845, 761062593, 665744856, 689945712, 666328324, 659632573, 528670128, 873352140, 728504368, 522536101, 920360802, 844979460, 625305778, 882348964, 929762055, 740536441, 843082240, 642481022, 935772222, 723807902, 972400900, 622493871, 790797918, 915370803, 612553428, 701403476, 567022440, 984564135, 583566848, 971707400, 870871392, 533069332, 940554729, 829706161, 936178896, 503881239}

    40

    Returns: 127963357069973580

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    {802947547, 925161022, 898321953, 748408200, 799798782, 915100420, 602747362, 849680901, 771248327, 535377381, 612250538, 699198521, 946208995, 504490887, 948254055, 538751787, 672036877, 999451844, 786781689, 873926367, 939383051, 900142184, 790335587, 882593907, 574445775, 846812228, 874663614, 862182484, 963844496, 559819649, 620672681, 713973722, 681876787, 969784712, 676062870, 589429803, 896105439, 671307800, 922254167, 829998839, 509128460, 535837880, 897516076, 809286330, 985693412, 840707562, 978401639, 905250225, 609129258, 702553526, 983092531, 615008608, 864767290, 703154953, 985959796, 746280630, 801044265, 650516541, 916812740, 611364916, 590230928, 958767953, 831369792, 525121937, 968038525, 635526561, 674393333, 989432211, 543546862, 688065119, 626724072, 849730707, 630017491, 992663027, 996236411, 996574001, 671468162, 842038070, 568594587, 769077050, 767411445, 502817493, 524875434, 611192790, 822758454, 559928932, 603051342, 775899946, 839158482, 904292317, 877815415, 511173988, 753877570, 546107358, 693309661, 912345294, 905205232, 603114762, 711108386, 714555621, 772750252, 845822099, 577592513, 994361748, 810272188, 774762265, 543740850, 544337209, 555499966, 906946371, 813785071, 612330040, 643902296, 676612330, 758640019, 814107259, 651640238, 822432807, 793327688, 537395355, 574893513, 574245361, 901244754, 500467016, 877470887, 513953819, 867182705, 718099699, 561626890, 884052290, 752733953, 935472852, 969840546, 889712033, 736802097, 895199512, 723209289, 964592879, 957950006, 505905603, 658957686, 839745468, 801979178, 837299020, 728284706, 882810031, 723585656, 907216150, 783281785, 833395341, 858213231, 670691136, 954391453, 808854738, 545200311, 522883177, 726693142, 552551662, 815846353, 930047978, 983663443, 928526721, 676056658, 903010805, 583177613, 814126047, 748793346, 614961292, 978862324, 592459246, 690464049, 860978993, 625670774, 941784847, 928214156, 611166441, 916817633, 679314266, 590444417, 904858839, 783370622, 632444845, 579729723, 962715393, 994118712, 641825263, 742384741, 836634556, 878903927, 715783102, 764702224, 896728381, 680047973, 814015159, 660807336, 741175117, 812587101, 597891963, 727991483, 514368612}

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    185

    Returns: 637928251641768

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    182

    Returns: 1291765487912514

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    {498288827, 220992015, 472431365, 316259914, 203160306, 396076184, 13382075, 29350440, 356204280, 337928796, 86235032, 50861349, 481947644, 311723327, 404301220, 243975816, 442079444, 189561748, 17333399, 219577722, 36886290, 169499576, 478276570, 62750527, 328397531, 178895871, 252428742, 104812479, 170425883, 345639475, 243628599, 493148728, 62336828, 393383125, 334114579, 1133775, 406536752, 321185692, 12612328, 320027612, 414362838, 170758286, 485775227, 130510540, 188033231, 309513960, 482276876, 167585243, 288120787, 303289834, 470024564, 435258855, 268451879, 343782279, 261972227, 239235034, 484821718, 97382344, 201185966, 320549250, 281215808, 286204026, 305840588, 5199742, 198311082, 7907989, 216381748, 258376805, 229826482, 90247140, 56916825, 68493067, 86549068, 380560871, 274205026, 137911150, 248573993, 481141970, 360492091, 306427239, 392854353, 27281359, 396755912, 260878268, 177871199, 280861567, 453477400, 315756498, 353060508, 372569756, 80598251, 331708472, 473844032, 394782484, 86027681, 364884920, 424934483, 214008054, 65090869, 189886156, 263517103, 168416950, 233687317, 217683410, 103649219, 190628895, 407961168, 62754049, 234354215, 416606214, 282336702, 367090695, 437141455, 139270436, 376856953, 25499023, 299601180, 90236910, 491613368, 256388282, 360800771, 353357609, 231167703, 288464417, 246573097, 174853795, 324649316, 308105183, 335029407, 10158391, 223089152, 130203853, 437739006, 284698730, 345131208, 283889009, 463323778, 319877629, 374810453, 346314534, 299354889, 14705325, 89616643, 491454740, 391883526, 428874083, 262743872, 240756641, 169342869, 410365425, 415239296, 106323982, 345985690, 209124461, 256917110, 245949964, 150320543, 74553537, 138336341, 456792539, 171091691, 351286266, 133331688, 200919583, 165087719, 204893525, 324250084, 498397876, 345520590, 273147729, 122239609, 226205563, 11319765, 18837173, 39924105, 322686404, 427009606, 371049088, 429314989, 222431063, 174575536, 365083262, 96092492, 407086527, 176850381, 4411080, 122141864, 303949726, 93026280, 457457443, 110200040, 344875144, 255942454, 178479040, 51493838, 419653661, 13644119, 215888490, 46327495, 52458318}

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    77

    Returns: 73335324241786398

33. {498097196, 358401527, 274134927, 240595303, 118414872, 28215615, 287816946, 299080101, 374477779, 452874115, 394754686, 139062635, 268903713, 383686981, 435413973, 484107109, 27944192, 304205523, 64412397, 231204622, 318907068, 468461014, 318962319, 434956255, 413094915, 367922373, 319112362, 124146667, 363282227, 95580274, 335298472, 60642671, 13594290, 326308318, 362227021, 225408762, 113907418, 134269720, 91567740, 337918603, 129032476, 109690673, 206561553, 329268070, 466420032, 401461995, 345442103, 87882526, 353316318, 79132035, 386284862, 278648843, 219740391, 436396164, 325489600, 460915023, 487509265, 261164142, 122885420, 207852080, 493126976, 498281026, 411570066, 436973029, 4909169, 302552766, 54018029, 475861899, 288665580, 53070459, 238570597, 193715486, 250092830, 195515637, 472197850, 487291218, 164195221, 157811181, 317055759, 499308918, 366659959, 205325212, 124948623, 146906512, 115145254, 459326322, 96372568, 38398967, 24455432, 482461314, 275473472, 9646358, 243184347, 338059502, 330697081, 373424048, 43927439, 109045606, 58661576, 287582794, 230220847, 245872493, 264546578, 69447308, 469069980, 381055132, 270237256, 236571548, 988934, 39812679, 135548682, 191082143, 272514326, 459586731, 240684289, 282158950, 431169763, 213358103, 386614271, 396395479, 351041873, 384110438, 170860916, 421496103, 74078198, 340418435, 13039809, 247638899, 30259156, 248433259, 37085093, 382360409, 146758433, 496545854, 35010856, 389573646, 440080794, 193372490, 190728238, 284298854, 275980169, 134964039, 498303360, 192148917, 181340643, 271488756, 395046445, 232502333, 348636762, 244248528, 131947455, 419352220, 372060527, 107190492, 404154574, 498455770, 217403992, 410834950, 349205414, 12845471, 316940012, 151176205, 276330406, 374439167, 365349404, 15790653, 271333754, 320356064, 199079551, 204390124, 268883008, 351911243, 240893253, 95010377, 141296945, 16830741, 349835900, 163975438, 111676162, 374051896, 198829623, 15351784, 132352558, 61690566, 330727137, 316787461, 259485424, 18822002, 471609287, 340239619, 365294732, 282851891, 380394376, 251702127, 99970554, 321199286, 120823872, 297809981, 332370738, 359116423}

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    50

    Returns: 102440174140678912

34. {26288669, 176962724, 483474344, 359876710, 330333162, 200951390, 438174844, 224299562, 4328801, 332008886, 149340244, 386548206, 62818649, 477159523, 455218673, 217512363, 437000501, 80204227, 347400144, 369603706, 64347479, 324434267, 313862180, 384578254, 51396108, 132979445, 19332377, 103562168, 392677954, 474875237, 189890259, 281106908, 488346465, 457884490, 430236196, 344922345, 9316176, 328758247, 221139066, 359938356, 259434965, 359840143, 391279749, 274655189, 467741983, 496223030, 449360994, 312721251, 400014016, 20824904, 175236148, 403082349, 458277043, 177399577, 111400764, 371315033, 34079773, 8483173, 271918805, 249623529, 330644736, 363630944, 315529866, 328670656, 88005977, 49901427, 205733787, 275740473, 324080939, 180131434, 224629704, 105025325, 72529171, 311919697, 258363116, 111162634, 429157671, 118897493, 337498264, 393757875, 45980448, 13264348, 367588486, 325862792, 47523407, 96466253, 417369398, 325227009, 330455585, 55414695, 62299001, 297034053, 278872762, 471843354, 286872048, 357416796, 432745211, 295858479, 214160383, 417527675, 364687111, 203356743, 122119242, 334097453, 276588007, 251999578, 386417093, 70789421, 267036286, 125699709, 43348271, 460095797, 3014680, 178270797, 4829258, 386037555, 6678448, 335544831, 286249391, 182960686, 253805718, 440249402, 453843595, 478966834, 371005294, 370442819, 254426396, 253310437, 254711015, 156215905, 41780952, 322231788, 354994427, 430333641, 358905327, 162825875, 254039023, 403296516, 382455686, 496667046, 454478874, 223683409, 270496139, 262426063, 64591883, 447696063, 109747423, 186160796, 307595787, 201589550, 437480534, 280531760, 10287574, 489724820, 253012886, 106793884, 403524387, 234618557, 182957507, 189490876, 156027853, 142468888, 398608413, 83112384, 403104236, 37302334, 146902440, 261217562, 326836966, 314714874, 381620871, 300163785, 398297378, 333910914, 126598146, 184034334, 293371012, 32458558, 262294216, 410675005, 154400835, 79167218, 357332632, 139063968, 457677022, 348859243, 31606772, 89521419, 183001369, 386945381, 62889287, 143804447, 68834302, 446270995, 128998945, 308147026, 490256134, 192090575, 309388472, 296681545}

    {9207512, 399455136, 50666009, 447392963, 493791087, 169687961, 150488469, 473813688, 68635133, 412913045, 315955227, 331106406, 13429146, 92847669, 129168473, 65001562, 409389204, 353687309, 169889277, 472505979, 491863861, 140951516, 54218122, 123076423, 13089622, 307353745, 285391887, 51403819, 90651980, 13620086, 325127064, 310372776, 367004052, 223460129, 285706198, 155804388, 60519785, 170514948, 403849666, 389157267, 228058502, 174745244, 376882576, 163274801, 357411238, 415273076, 93856052, 21957181, 159880966, 163598547, 448440950, 359707970, 134913911, 323188161, 180424587, 217824307, 418594915, 156255411, 111731194, 220524973, 387388291, 86409960, 63447420, 222194430, 241511037, 75894257, 5989548, 362568004, 261382021, 31191093, 112026308, 39865066, 34101896, 21605477, 354435605, 38030885, 271453120, 169582928, 480719517, 139422439, 140487321, 69315977, 396236797, 31106245, 65661687, 7891395, 324104690, 81335786, 10162240, 471172272, 266940042, 487893095, 109967978, 346985217, 217453421, 496097100, 252028684, 992743, 32584796, 484832119, 102035143, 398772150, 40222954, 257948618, 499836635, 454576345, 222909143, 392104669, 27587195, 355235980, 151297087, 313632302, 115281053, 306970684, 486897099, 73096844, 59546319, 343992238, 463273455, 46412074, 214139517, 495132866, 217986660, 411770120, 82627552, 475913430, 160689300, 237342309, 189933715, 467251377, 386035231, 371932863, 125635221, 193379241, 51075104, 85531222, 345134499, 344974222, 280164215, 36440692, 194034603, 142620116, 363176699, 409799619, 69665075, 479313933, 340329637, 187599865, 273915487, 272746889, 413820248, 234358650, 373132069, 162009850, 468605835, 320155756, 44575339, 260776123, 340608370, 185912828, 400980514, 90422412, 336611075, 471793872, 92266466, 462062356, 82753532, 53288023, 326669367, 321959881, 228459214, 434769852, 354376202, 177428270, 307310058, 36729719, 62867362, 302654911, 87963264, 133439405, 199726977, 75396735, 482010610, 375335336, 254820296, 490311532, 352230862, 146731786, 114096258, 498508739, 290394265, 497558778, 481377974, 120654373, 430414960, 312289322, 330365509, 399005532, 54521914, 367114599}

    {608404432, 949087275, 650634845, 524500934, 712734148, 816037687, 966953621, 895760900, 704181978, 688903926, 513454806, 816873849, 867505562, 614722645, 528479022, 714547473, 519396979, 592661960, 632816762, 607359184, 537844211, 643724064, 743361885, 884769726, 583079103, 904997111, 890490693, 885730661, 968548127, 507121061, 914213365, 596729431, 710845935, 938321533, 766882269, 890971313, 643580456, 577454451, 555968866, 759774810, 587590184, 702824590, 917010983, 699708375, 649167639, 723182041, 798103129, 698793262, 696801938, 862883167, 789818763, 597197340, 856297455, 825647224, 813978920, 638483917, 569316122, 580371619, 747514429, 918415691, 703046545, 923772252, 836939115, 782607609, 526211856, 962823982, 759905624, 982322783, 891347746, 759974633, 638527644, 998086371, 568109438, 941472035, 761008751, 643759946, 878623100, 897324882, 852849392, 837353592, 518019354, 940667005, 764009565, 592402589, 789391202, 705555713, 565825053, 805848496, 685440285, 954293094, 872081817, 633445979, 554185048, 874771714, 636780819, 548036905, 775649949, 941087725, 800775967, 500573334, 741898579, 817969681, 520435825, 978682336, 568512213, 711007022, 899711795, 851899445, 648890855, 550077476, 611439715, 686074175, 903706204, 633117265, 941479502, 980963325, 718380275, 735862204, 748629010, 884833219, 676032275, 777765612, 784757281, 971469590, 897922668, 627465860, 529248094, 648450233, 630200468, 675192711, 819658564, 602627296, 998156709, 642634783, 633859608, 822409509, 992527389, 809849799, 862218368, 585199489, 969593607, 657406567, 907395633, 860364822, 906166064, 928435830, 542343594, 657862633, 640783436, 950311923, 810390185, 752969954, 599810219, 722327185, 920173812, 593123896, 762523480, 879916072, 930097191, 960013187, 550803640, 937516056, 865783354, 503799526, 544235767, 696742814, 795998559, 829763013, 712317340, 979412257, 662253150, 780978071, 567017493, 897569467, 740296963, 769488781, 993535663, 715038754, 622267011, 855965204, 714592944, 898739006, 901053184, 832441467, 790779529, 720774776, 863172012, 552408165, 776334467, 580736937, 726496382, 602323801, 967840473, 908956993, 869600210, 830696684, 740498305, 548678362, 513187322, 507974964}

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    103

    Returns: 34943164519443582

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    37

    Returns: 147601685779243597

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    {612877987, 898046629, 811838250, 983995623, 675851581, 858765379, 617696957, 518347849, 556770439, 959547091, 745205777, 598164533, 840922705, 561663914, 796334653, 895982332, 754572463, 992843986, 594524561, 897781711, 838878769, 833391728, 868865185, 627509559, 843338163, 839045586, 528094051, 520844673, 507795537, 671748055, 966230466, 662698353, 829020897, 658076322, 745007586, 578722795, 658227677, 720164982, 910878471, 877331031, 765963032, 827400841, 741505699, 579544771, 628749816, 889326961, 989447958, 521855739, 732235524, 521907165, 892932801, 912960556, 622440742, 747223278, 578222790, 620535965, 772773392, 549803437, 848602168, 519534700, 556679477, 711884383, 900272749, 816375056, 980356826, 624083200, 944904336, 957709813, 647702815, 550232518, 629443318, 899260713, 591145171, 604422191, 867706625, 523286714, 559021867, 817675525, 890926614, 887711693, 543560046, 908041323, 852305714, 787007528, 948454091, 976254863, 548337663, 563472334, 968632573, 903296033, 849280996, 875819292, 535757289, 692932129, 611858732, 847423349, 502884125, 597822404, 546731537, 655799125, 855637616, 594397684, 834907738, 987389275, 744957985, 869635196, 784400339, 675285006, 520494164, 681869294, 541027724, 557566977, 605152418, 666059009, 923874656, 566691112, 630721010, 863581929, 808787850, 989369293, 956313819, 620894864, 797595164, 514190907, 864273155, 624633798, 594560900, 892586519, 634519682, 621239554, 766963030, 973168952, 987139941, 542330003, 842206142, 625817798, 986788180, 573494660, 712178437, 943683214, 774779093, 549140326, 630136616, 923226483, 712494953, 795941919, 723946842, 519486192, 895665396, 713203903, 766376776, 953034018, 576754349, 626068528, 565669357, 551199632, 776558340, 635146504, 855047215, 734463306, 886095633, 750499856, 507038866, 728043219, 902215034, 900883860, 714498263, 752405036, 988987636, 956419516, 709189864, 743884924, 867765907, 611437253, 770540823, 531693239, 775592071, 812596759, 862615400, 943267103, 554643268, 601885188, 943634637, 933009894, 621246136, 625238044, 785090098, 696221832, 584232337, 914864807, 949125343, 720826385, 899192902, 767471640, 525325461, 918987535, 994156107, 673956294, 695802650, 625882752}

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    152

    Returns: 5320312444996139

37. {36959547, 449756281, 164460256, 272189807, 289877741, 443016364, 477875424, 90282580, 137219627, 69507294, 216942091, 487012549, 59472727, 402923150, 128210526, 436804609, 131218317, 7713373, 119850742, 337184061, 480837892, 435694461, 231394055, 246844143, 489812098, 414641355, 359659264, 155101938, 255409355, 334024447, 250680225, 478336869, 48408418, 35246033, 473343587, 1639421, 29438193, 316096496, 192590058, 439972980, 187134141, 216431781, 136399834, 485565809, 267145792, 217026516, 325300697, 413357866, 31901597, 434931294, 181951178, 227425799, 30352750, 16247162, 303775619, 15907823, 332928823, 282993284, 19506881, 431931286, 272282382, 348250990, 138234802, 262249774, 75381002, 285322512, 490916920, 62622354, 342909257, 423284380, 139024268, 300461606, 13081668, 159961680, 430455028, 413357676, 498937059, 120784041, 236095031, 64500000, 46962822, 111545860, 102053451, 379082006, 90948192, 458139875, 224696101, 240640345, 483375365, 140078840, 279333790, 364187828, 224124012, 411912327, 449312020, 47311757, 290112159, 166664278, 78835729, 330977492, 364144735, 26951815, 17146773, 25954804, 317353222, 390231084, 441584257, 226572168, 30229705, 118938404, 204247522, 74979706, 398976266, 25745551, 466712995, 477147373, 309532171, 161337693, 357136324, 391072891, 70203777, 4331075, 124847437, 479035695, 190495434, 434396692, 137749621, 56249571, 194005216, 234621655, 310537507, 56595233, 73125881, 307130044, 461851701, 464494465, 496086356, 223458427, 400794882, 160884902, 49652294, 17077659, 324825216, 398311110, 6564568, 427221897, 189622440, 45317689, 410912392, 377357349, 31135969, 15671866, 470801654, 252942837, 124263216, 483349641, 75052810, 304379136, 205231252, 23561109, 329892239, 416150951, 87780649, 269385116, 422164543, 376397939, 222144865, 204400876, 393531122, 20240508, 75517373, 235289546, 35175316, 319914182, 59501552, 26955338, 104292588, 477300155, 400532330, 120164271, 331133399, 265893819, 63917791, 261341603, 216161909, 331327891, 332540258, 43126261, 454819405, 141872941, 492050310, 69656042, 86021892, 988788, 459195251, 54297248, 448365833, 76981963, 211465371, 353001499}

    {437175401, 336561888, 339206909, 217375417, 210612, 160873919, 1565622, 234582846, 414645749, 290121947, 172719990, 469610364, 144002641, 334340057, 241081760, 138153653, 458969883, 444888773, 40394053, 327127279, 273071986, 64599639, 368035270, 320355853, 265005539, 400235304, 116232864, 159486795, 54720974, 218057750, 369224836, 123583101, 262001649, 145537293, 380227223, 319512973, 161496730, 117967107, 258970617, 147627904, 60145378, 358208616, 61081977, 62075155, 345707658, 282211406, 81071792, 71253261, 49029675, 480786202, 16666476, 139591276, 359989379, 103349441, 330705110, 25290647, 126814650, 121013310, 440311217, 457606440, 24152681, 364600289, 80210940, 111135627, 268222666, 245697763, 339595161, 108565909, 263428721, 33836129, 266353880, 431869325, 22409918, 191871332, 98357175, 148665825, 241128545, 24918020, 30649581, 4198865, 152829297, 99601535, 192718720, 332004289, 13094788, 311097134, 410603892, 28535613, 74769619, 35187706, 12685442, 36563063, 154467672, 305966451, 287537345, 57458529, 5340162, 275699706, 427156497, 130880110, 96608223, 234717184, 299325296, 394074926, 287089061, 455325918, 454851024, 58640166, 92414882, 400227185, 134984287, 439766834, 199156283, 399411067, 290666163, 487620882, 323288776, 234821142, 63155417, 340451650, 442253849, 469237495, 315674012, 194534394, 194878293, 121511312, 137624432, 306868185, 384422301, 81864554, 441016133, 62241591, 159035266, 208924910, 314789074, 173262531, 251743076, 72791697, 154380840, 488343502, 457469521, 99804642, 157474929, 272383284, 247587726, 160757326, 279292255, 200097886, 416527682, 113724826, 9813385, 407569829, 78420217, 37887156, 174828036, 394068658, 75304370, 4377089, 467098607, 349591623, 458530516, 3932237, 114658505, 217912760, 453860345, 438412431, 465856738, 245042358, 293872575, 143079106, 278138347, 238395545, 86341535, 270456965, 174196818, 351654827, 281004360, 130814019, 270157024, 145673345, 446687865, 373413905, 320086515, 272492837, 377890816, 354363345, 216926606, 263899586, 96181470, 311530339, 83567352, 125897513, 401820033, 98854923, 258357460, 314081869, 433046259, 285044896, 259465297, 318929621}

    {571242881, 519706887, 620046883, 830293540, 662653643, 983037965, 915333664, 581046820, 684557616, 785328539, 966759512, 868602695, 534904571, 894508236, 812967838, 676074647, 679976767, 833479269, 539646321, 850859634, 818982955, 512295864, 991527823, 949376503, 637952234, 631810958, 532258354, 679463224, 532654781, 787688556, 872680751, 620489106, 969184099, 911739126, 947135700, 804057953, 987353497, 743698647, 751543658, 929753832, 734135910, 586501307, 818471106, 812808023, 598146198, 620185210, 668861842, 614988638, 958480149, 517435870, 603865115, 740098821, 575212658, 960891144, 603214537, 712187548, 949478654, 591104707, 652469786, 762848067, 588093480, 569934264, 624306940, 639242861, 811477008, 522450804, 867507660, 816362072, 887998062, 991669976, 945013384, 641535000, 662812298, 730098951, 569272481, 714610666, 945977092, 623870299, 892976348, 516348249, 586548359, 577070525, 893178014, 633896991, 869175381, 731136702, 503420382, 506758421, 943066339, 512391677, 765264859, 707504733, 949890986, 677334846, 777402801, 797738636, 959744226, 647113294, 786108410, 783977911, 712519317, 886473257, 956299202, 681712489, 626395889, 913207698, 791323714, 864377163, 835850635, 619789423, 879071444, 683718038, 574128551, 706906534, 539003127, 533247746, 657760437, 696012029, 818603232, 527550522, 736628134, 713520221, 856718559, 709239490, 922432709, 709892537, 585100463, 523311109, 853115917, 681599747, 827064688, 875419134, 961415020, 632744907, 590298842, 866925190, 924069512, 650732115, 546643576, 848642941, 508964551, 986035281, 666850443, 662825267, 522539846, 648588853, 880123186, 797270704, 929627278, 886343703, 641225512, 638220186, 619504143, 789518848, 675227234, 743973508, 848649743, 829260822, 647687750, 954079525, 906571558, 889035375, 863782499, 616248079, 922281361, 991123698, 567016695, 772422124, 853612220, 694580002, 505331847, 788308638, 753837074, 677754654, 703354798, 871714429, 803355207, 823471019, 915599602, 582784263, 930105651, 819901269, 775105885, 734046668, 636805313, 572444077, 598634936, 625334379, 669013600, 850174240, 908112704, 920763272, 748600455, 839824684, 610520133, 572129026, 790269070, 595511886, 597105645, 787285624}

    {988722629, 769093016, 652379403, 678798759, 745542259, 706287763, 794237703, 739623703, 639962246, 516095766, 515220897, 696509658, 838001112, 847313536, 976159259, 844941590, 904820009, 615507718, 930973713, 632819500, 943764095, 835874672, 528498981, 797446077, 586172294, 717593277, 976587405, 861970008, 738918832, 877863429, 899373950, 833013681, 825984688, 728566198, 653207756, 860212435, 926052256, 911036342, 699882667, 556102536, 988077041, 987600639, 865416159, 914168322, 804816870, 838185223, 859473576, 595523622, 831973387, 644508981, 698917970, 681560390, 780239094, 811226179, 748741154, 760757888, 714841236, 790565166, 594499946, 908399963, 884241658, 630670665, 922372153, 967678999, 799779549, 866689906, 741329928, 993519539, 592236817, 721611416, 591227786, 728073246, 786784615, 847791420, 775067110, 854684778, 685044778, 621147810, 679525433, 985474613, 516357889, 691980615, 894107349, 989071342, 835691089, 990465271, 671568445, 593163532, 515464976, 590428803, 509309376, 856716559, 523592250, 963756439, 742288979, 943038949, 715701170, 622220081, 514230301, 901111560, 704849903, 886740537, 517945194, 992319961, 784068110, 696235269, 805618917, 571337187, 503711142, 603574875, 886351651, 520460277, 728173302, 608930580, 793812455, 740741455, 664351673, 802306673, 990283866, 681202851, 720181304, 962330288, 580704618, 945816025, 592307765, 803266288, 876513608, 792281968, 868810146, 965736363, 688427189, 798386436, 944945591, 552458819, 912344267, 735265417, 876794654, 775752093, 594099117, 691493480, 561041386, 621187135, 545970753, 942325483, 800314226, 938835286, 831158922, 999342112, 800149424, 564544906, 842887217, 520175027, 648328763, 824587705, 919923115, 949497250, 744046902, 869257393, 868553321, 952983801, 958017454, 705378858, 721841892, 812198665, 882683915, 766092339, 614405429, 675859884, 601405386, 516845525, 567255539, 719195245, 756374796, 865323116, 877778556, 814285247, 666764228, 855284342, 613392837, 856004152, 713347298, 634136397, 573731555, 549372144, 855756578, 508648678, 957034358, 917415476, 945330022, 997098874, 598935701, 642393293, 676763852, 989654738, 616213998, 894658427, 985422617, 985506709, 608283048, 510882629}

    60

    Returns: 98774627058224159

38. {219668778, 97927633, 402387300, 491725500, 433604979, 465865668, 482915493, 414281, 54480769, 362527481, 226837871, 64416853, 399729877, 69767925, 298673097, 50757893, 180632154, 390960410, 382422331, 356819382, 356701136, 454774820, 209912134, 24104982, 234422329, 220373452, 231719331, 209833380, 190654319, 18386412, 195664617, 36403330, 249006303, 128381730, 158658789, 262998923, 338644051, 425607551, 79123287, 358081957, 437408728, 297411996, 436169097, 460099232, 37691006, 460306149, 84438627, 248076018, 140383349, 482416460, 88782106, 142541694, 478887439, 191315331, 367620925, 432462665, 440470701, 70340891, 120031545, 426453867, 118644345, 447085158, 155863347, 12951859, 125919830, 489709880, 128787784, 277860439, 67314235, 485928283, 165247736, 412221122, 359172265, 205483827, 37735452, 57703159, 138501757, 289386754, 343256581, 210109074, 284615148, 350102400, 428318373, 142703345, 455691727, 407046496, 420495965, 93637278, 247220760, 1809875, 202474810, 154927197, 280700583, 66609755, 133664757, 333352354, 275752835, 404956169, 490345850, 327247086, 167483027, 287938490, 411334633, 237509671, 119606606, 387933343, 319800372, 440918075, 476862198, 112037737, 297972993, 383318931, 214655571, 232802666, 315576818, 113881328, 431170630, 173629000, 100179982, 88075287, 197784401, 49096078, 127238522, 490419976, 139866894, 396369154, 51647118, 70048147, 132405729, 302918018, 441015114, 187473648, 353523455, 210774792, 319448874, 13270022, 4829193, 357010727, 466045196, 476359162, 447781319, 300604225, 359526811, 469253259, 190977529, 151530409, 144498899, 134049491, 51257807, 199340639, 225278491, 426028688, 266158751, 497114917, 259342131, 317854251, 243306437, 291891168, 288552672, 17285861, 280129669, 466820002, 158124616, 81793857, 343834167, 3701127, 62293872, 73032708, 386860556, 224191534, 265525119, 86167430, 59076953, 135270263, 287343420, 5307305, 163217814, 257535965, 261687589, 227587471, 166614339, 8555301, 313213771, 245639956, 129584034, 160991755, 289036258, 96821787, 447113310, 156589184, 90171894, 196286836, 454324977, 442727996, 414362949, 477534031, 170012759, 128324925, 278753598, 17064055}

    {233538248, 82494676, 374188545, 278265568, 485632967, 67666915, 68103527, 59269000, 97933184, 140158534, 231074871, 158149473, 289890796, 478617982, 373168081, 8660643, 276523624, 429594850, 11471521, 270687572, 149985428, 434459732, 146010794, 280735634, 93149123, 50615860, 93695603, 46898430, 112115866, 55019178, 454230521, 204310573, 374678454, 55671423, 218897736, 23887661, 296124164, 371052109, 199080912, 109449815, 474298694, 250631746, 314837164, 482647055, 4639604, 339539336, 238243426, 353508491, 490781304, 321893299, 413692147, 322602148, 25723035, 197898945, 232801160, 157654792, 89898085, 155137859, 205260436, 359560651, 267187818, 197757137, 115437748, 385099855, 195246406, 455825047, 125639821, 487938481, 430830298, 458971212, 374455964, 131378134, 145967899, 44218289, 235005235, 135188514, 193677113, 457223034, 8365544, 357314945, 499586464, 15206125, 472737699, 181128138, 84190832, 241672584, 390317130, 176088472, 192738639, 32317969, 42956322, 50513449, 91446998, 128221400, 229169194, 378144057, 489197707, 422472112, 248083296, 280014406, 437030030, 131518477, 365900213, 190442071, 231770894, 293139561, 234760353, 56043932, 75623408, 263909488, 124840708, 444612973, 14152333, 74935253, 327491848, 187575436, 251158142, 343240939, 83314775, 433057467, 301199851, 224365573, 170517353, 248136806, 437920913, 490529203, 366793827, 133702788, 199743113, 186557267, 482747636, 109300416, 218161368, 387743876, 479568196, 372133710, 300952342, 395354467, 202163975, 336145892, 340333772, 374182321, 139150455, 133146762, 422770276, 133183008, 476282725, 320772817, 168699999, 321501887, 281957973, 379402142, 284972141, 28910637, 409626426, 231688111, 162540194, 285882727, 36342019, 287597847, 448755326, 368353176, 348760832, 493614390, 465618283, 201742084, 459370528, 358462458, 227721723, 229439547, 243400482, 348544720, 146182407, 428480687, 237000658, 300122859, 404949266, 325075840, 44108315, 92677328, 470865696, 261791552, 99637510, 160206102, 163563860, 96266741, 157789463, 189545834, 201467284, 177026902, 192384267, 392632380, 58868016, 255853817, 374513621, 84276325, 221569840, 123823640, 293069243, 319962401}

    {742148901, 599298074, 826311526, 735206518, 997208835, 785271333, 877383798, 887322058, 758693278, 795937327, 570425460, 626893674, 963747752, 623829786, 985926488, 575472997, 861534665, 754655946, 937890001, 702930124, 562743069, 823068383, 910548714, 566286386, 601387455, 944773370, 661521383, 693078417, 856492908, 934989158, 623197586, 547336545, 628431149, 748796219, 938901308, 739557535, 983078795, 594858897, 587468043, 599345942, 923755320, 506926688, 579374086, 883739003, 916996951, 795275396, 638664454, 661082311, 844718646, 734803232, 534899209, 801064450, 519639725, 561069496, 503334455, 764048853, 822071596, 673000467, 689149046, 567311823, 954859969, 785840354, 853221678, 816561632, 959764483, 861324221, 724036812, 679767745, 803286320, 692272779, 557577210, 815977625, 871452698, 813941193, 534723064, 813542826, 919505264, 976955727, 903847613, 747154996, 902005472, 740632962, 525746057, 654931564, 789822879, 909294153, 950845128, 512744170, 778738954, 940293587, 676390431, 577765128, 820616440, 600969508, 611986450, 770086455, 824231912, 924786857, 939032875, 683727285, 846638055, 885019244, 916313900, 760197424, 769262689, 944571531, 885682786, 804602584, 606184622, 694059637, 748877985, 976903873, 895332154, 771833835, 821738057, 849137236, 919471641, 918379239, 939851067, 787235795, 743905919, 793516457, 964982527, 999571450, 572281463, 656554086, 578844579, 635051933, 831171192, 847435624, 881131788, 719405644, 559299927, 959912948, 642347008, 519721392, 780890765, 986453729, 706325548, 631565326, 872192705, 765034143, 531259335, 963622926, 732838049, 556608271, 978518219, 549293267, 840199348, 977171322, 605207384, 540218973, 978634420, 594456381, 564326615, 507342312, 929741221, 752497397, 728812066, 876593612, 941858571, 913995492, 794238555, 914904121, 644236475, 872223002, 814971256, 814037112, 745727614, 911199958, 991311130, 705118769, 849924498, 554436855, 642959931, 951436323, 697952338, 714452746, 870716889, 974361124, 975329374, 529493331, 866066370, 541685968, 813401782, 538091099, 539121109, 899043496, 685870498, 576269278, 873318955, 695026040, 798342009, 897993608, 696261753, 831984265, 645646690, 632501030, 634395301, 608006770}

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    35

    Returns: 162531868220293517

39. {211616047, 203326568, 301410732, 423680043, 67616457, 261919982, 397700197, 313553969, 161047739, 61595912, 175508162, 440273469, 111204837, 151868166, 318270241, 142912712, 221427532, 146052748, 49105416, 45828999, 143011950, 90692632, 95635956, 307854516, 345658555, 494880244, 219552675, 321437398, 440605710, 193858784, 337519884, 62238874, 282300467, 47519764, 117953154, 61613736, 470628861, 433068436, 441821117, 342450199, 305471474, 350865985, 192518365, 29774601, 388394144, 493748372, 436463483, 37818599, 478531182, 343809151, 38224253, 133535319, 195008212, 158448408, 278545672, 203875016, 355323851, 443733170, 98528558, 221050791, 457913740, 63119376, 382796778, 488544074, 126484286, 495116408, 71595863, 348653711, 151204134, 271941037, 259153376, 377244811, 460847874, 184813237, 90796112, 35443476, 390455677, 82114492, 413657757, 265120956, 211320367, 282163013, 122595924, 212700011, 108905190, 44901370, 38602377, 448596289, 309038368, 49357822, 166622312, 337618483, 332037441, 25612326, 422075115, 121428478, 106984124, 382644182, 91936631, 43803442, 480579867, 131185072, 388900173, 427663426, 57677901, 318101793, 173087679, 281638463, 410025516, 401215223, 77779545, 414216128, 213493287, 331970582, 220562039, 170148870, 482986568, 276035207, 401064330, 380031103, 497990711, 243113511, 435210315, 492361589, 293324193, 187308948, 274425379, 208142643, 41295800, 88099678, 268464674, 221077934, 368353358, 261578961, 111670889, 215875207, 273113093, 454056944, 227145133, 305917668, 346550992, 18627206, 338214077, 387872614, 134417691, 170662956, 84340315, 197640772, 289276522, 178286699, 450737838, 460427859, 361687689, 301856652, 487137214, 241394296, 150345346, 93009418, 254000360, 242167855, 146259761, 340143747, 376841251, 101688061, 366518986, 349676291, 237462071, 359239459, 341615725, 23018970, 449779890, 279485783, 441045722, 479277685, 490453858, 192079689, 97422105, 357446095, 102434042, 381412337, 154137109, 349965497, 127087404, 241905089, 353094436, 113193599, 181155679, 402810967, 384916790, 421480718, 108259694, 120625504, 301959015, 34819312, 324730305, 390939462, 433595905, 194029117, 107215693, 306020125}

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    {735286179, 540322472, 586452113, 647220654, 788440128, 715216125, 613244052, 508929777, 688996505, 508688202, 712613701, 901514601, 777200461, 744484269, 835619366, 866397888, 992979569, 578433303, 635063097, 730442372, 784532020, 645702604, 536786108, 999549540, 679662816, 970559641, 939006801, 971792717, 626795000, 856417218, 995825102, 875276965, 566501293, 500173368, 740587191, 530096554, 600113157, 900061214, 686590009, 507591984, 620447953, 891482207, 876801189, 989512762, 554746020, 509832167, 802742166, 723087250, 662644463, 748153852, 945608499, 748693971, 635052536, 883120752, 805865761, 664768988, 529074008, 802751139, 896802207, 664222721, 699017189, 864273187, 948135242, 694277774, 698787511, 780235283, 947770615, 586376987, 991375794, 962342901, 674078031, 804309552, 663160135, 505620874, 812282958, 997101208, 890276419, 627099325, 972299266, 973844897, 871101644, 663911186, 842476951, 823626147, 760979841, 502767719, 931356129, 889540231, 804215861, 565580008, 703266499, 824918159, 778120541, 524553544, 549621650, 943725833, 793838652, 617658759, 866521474, 723719787, 820527844, 821517110, 623695671, 563623551, 692979306, 695677800, 687976991, 838211582, 886055904, 676006306, 727461184, 614591450, 557012340, 766747526, 585329913, 542300096, 549824589, 768698315, 739389806, 926424440, 799109897, 503538129, 733052279, 907869054, 527182042, 992995646, 573215575, 767360304, 908832855, 781313584, 872963866, 806566622, 653400271, 996531438, 733259705, 948787148, 535957148, 867140012, 929887441, 898037506, 953013038, 599620956, 868919001, 928551329, 563947966, 997632996, 750876449, 954553958, 815900591, 879578058, 672250125, 870222287, 592878944, 649030487, 713564730, 919783306, 723132722, 837939409, 831114552, 854796589, 597542111, 746766005, 953600818, 877327156, 670380166, 800011611, 692017858, 647210102, 657422171, 641538139, 750323741, 852879411, 696614243, 520867773, 884493392, 989940139, 531153798, 725476934, 918036436, 684343035, 708518703, 711398920, 792601776, 858158466, 934161355, 836608103, 695645440, 624756391, 889192458, 854320888, 759737636, 633283638, 514695414, 748250844, 619218068, 635287900, 794757062, 918311707, 718925707, 518933888}

    {708110862, 750739684, 591313135, 944481110, 558376081, 753069131, 559045554, 516220479, 964525313, 828687178, 833820819, 651873155, 628943388, 776588419, 719743783, 763529680, 738775893, 625974658, 878687160, 578315168, 844791328, 685292248, 541051385, 782795952, 620761347, 519565507, 617818297, 538951259, 618732171, 598328520, 731786037, 936256210, 738342199, 976332877, 718341440, 902659117, 729900631, 719810915, 567583897, 781525046, 908232756, 789163878, 966000872, 580234347, 677410709, 846980533, 763801297, 990887980, 916677252, 834018478, 792795487, 649975572, 774674423, 603870886, 675419765, 508364402, 712490075, 791997495, 913760531, 855475182, 884201206, 721844533, 869918482, 914312541, 944355086, 554329099, 890814649, 659095924, 588142148, 590490603, 665679523, 658262458, 668574446, 594674783, 589994766, 977674871, 641196433, 518024387, 926094162, 708640976, 525467447, 817689258, 921923623, 768805706, 707888435, 676211327, 753026185, 930241266, 964716281, 706161334, 899315897, 674714925, 720737951, 960810479, 763884580, 554117825, 608467024, 947902540, 500983363, 671697472, 549157123, 954197051, 746705131, 858561039, 502536609, 558564832, 769023404, 543356082, 652065108, 757202302, 610770383, 927393166, 877718081, 742226547, 746326133, 832438972, 987504320, 914338280, 886950299, 781356878, 665618722, 652879026, 821832016, 761036157, 697446793, 731021029, 563979304, 766385309, 962583493, 823097742, 528079932, 765957150, 918530321, 509727239, 989859449, 733442643, 905330344, 636027857, 931476864, 869694964, 689381040, 837884052, 531218985, 969122739, 906792642, 857098126, 705801883, 735323202, 955496370, 713604757, 602125658, 979960788, 917864277, 501571024, 838671910, 530549508, 828812900, 892334545, 933834473, 892650973, 838823602, 740661210, 871060072, 729152361, 956557483, 842548494, 591441623, 606696483, 502114957, 998686522, 766566844, 959381294, 886722083, 699153624, 710750669, 562778736, 628806550, 778701687, 976837480, 714335418, 773793483, 952329522, 605252126, 963133970, 645091140, 853352128, 887039844, 548178907, 795182606, 687155013, 854489293, 643571113, 952121484, 840377296, 766207664, 829809429, 563448186, 690884357, 735020895, 853893775}

    157

    Returns: 5426420709995744

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    {274677626, 348168335, 100920181, 219440158, 407614579, 288750615, 161576707, 422971342, 384701731, 219769643, 122207451, 355291756, 67743294, 159971058, 338652081, 427403962, 415625443, 457653056, 290731235, 412043676, 122365877, 198784112, 241252753, 375405704, 368158595, 364622364, 139007432, 1503314, 324103848, 343786535, 275820276, 2243915, 150117941, 424101453, 425610234, 307689223, 455543296, 136795258, 64110710, 381106680, 463754636, 171528491, 436049915, 446222738, 25307944, 283482444, 40879452, 103382506, 166256361, 4501948, 25492937, 411454480, 136842203, 148481056, 340227426, 178788968, 193006819, 371716619, 413966286, 175936016, 419372582, 78722611, 279539242, 12910669, 434513681, 37969969, 194507008, 60598419, 133488703, 371156041, 309100350, 296621260, 401241805, 474354272, 303155117, 413046695, 80074176, 150794307, 150129470, 281627363, 18329556, 189690107, 461598255, 493828926, 8057212, 429005602, 136848067, 445838159, 319870883, 154875390, 456635429, 245169904, 125068722, 249901911, 46270347, 334950189, 113411666, 184647611, 437758763, 366970785, 384591142, 167079882, 479283106, 380705549, 160457859, 322995622, 273591390, 46230148, 78281503, 393385322, 425229449, 211372689, 401366616, 263553475, 343428968, 196687767, 247184857, 461595315, 70430462, 245986116, 235673079, 79048728, 450621364, 367882660, 189723510, 389949932, 232677759, 382292297, 195051937, 390675103, 464849847, 91524892, 115064975, 426503028, 452121217, 284774696, 3390439, 145974614, 341631080, 292389479, 64808648, 393520876, 344614729, 323189176, 328735621, 264519452, 227370285, 14832695, 123294752, 77454554, 2381184, 80088235, 475424042, 236468316, 208715366, 394649195, 487710467, 89967778, 205756280, 357585860, 483614773, 329156571, 13042471, 468492505, 189201122, 399204184, 307727507, 145963710, 172134725, 450368564, 463824651, 139734704, 263425751, 228108172, 303418844, 377615645, 197547948, 337662220, 73118464, 213202995, 123969710, 130384903, 430174134, 468336811, 343811908, 342596910, 68890238, 119231307, 146130618, 238750229, 132367088, 62095505, 485099563, 264398538, 273740753, 492798743, 378363843, 23313709, 351631174, 398233730}

    {569165563, 648604244, 674431567, 641954704, 905787204, 840648696, 717866342, 642511134, 688221262, 861187698, 768008943, 573772429, 970502739, 862262356, 777210677, 970664766, 851175385, 640019100, 610719285, 752029320, 558470557, 923435286, 794175105, 613023264, 770830629, 804259601, 859703814, 597128984, 735619662, 862871317, 597628832, 750290539, 970968786, 819973337, 538237057, 556405889, 756573445, 834774518, 591824138, 678927034, 664223813, 529206224, 778506464, 800985307, 667436375, 516634273, 912692701, 837898844, 977784439, 706295684, 591825180, 816452391, 930972383, 585694095, 841206941, 827448082, 948994308, 655768711, 565324883, 990291663, 921311689, 624974374, 914731673, 725791885, 839650780, 689703282, 605010332, 762197764, 702491579, 770454838, 927052100, 500766912, 541135193, 960180732, 566424929, 913918357, 749398235, 515763231, 661949767, 633942274, 983416003, 924428812, 995704017, 856006106, 939039643, 805383139, 844269898, 538982435, 593057255, 571232912, 500098565, 513910582, 658049301, 980487907, 877412772, 674900298, 924970642, 758039841, 525904836, 692164725, 669893309, 869163539, 804508484, 791333913, 604864564, 619786022, 556622490, 937254615, 944780861, 594654138, 518880738, 829292861, 603039148, 705087046, 738112204, 679127855, 640039502, 832043929, 808303963, 566360598, 828021676, 872079008, 936496183, 698727918, 885251339, 748994611, 580549550, 664216046, 822519579, 859745081, 695525658, 895314700, 726264737, 841302166, 855533590, 864238607, 509825111, 706633718, 945470662, 842195388, 879294791, 595547129, 525130958, 890487531, 991789290, 658503954, 732119267, 600062142, 509292745, 879341435, 537426099, 533849827, 755324103, 790203667, 906101102, 790678840, 879929978, 652124987, 916257569, 987786297, 540787455, 864429595, 771594295, 721569977, 543243713, 671351547, 537091552, 569091043, 842306899, 956642644, 656847890, 503604505, 529985530, 916882186, 691335158, 544073049, 505369016, 769781423, 895443967, 989507594, 858727666, 806137554, 928508862, 633422029, 918298297, 836090998, 695998092, 602405449, 685495771, 608212440, 640225153, 921511002, 988459821, 804597209, 685878456, 923870217, 781552925, 784728581, 983234528, 930853885}

    {549002880, 590858066, 635102497, 985983836, 897160450, 956289465, 709413442, 633087250, 810780195, 953425140, 853223920, 724233674, 930869193, 515161501, 644977621, 740624807, 760354079, 973306681, 543526939, 901326070, 745422550, 772530341, 770668904, 835584948, 719432809, 651615753, 784498647, 629779678, 550445497, 907416200, 946771809, 983459094, 535469223, 968915128, 953375446, 680648946, 856775627, 923768812, 951973487, 600193683, 775141651, 940697262, 845054857, 730206652, 763962469, 522734703, 717400707, 631859656, 588497152, 622705633, 910860779, 711987063, 845083367, 559396812, 728562333, 922471685, 553270351, 828702029, 879970361, 717679674, 619271912, 973753937, 828940953, 915916275, 641182126, 985220864, 731525239, 616912424, 949685783, 678591239, 675272257, 696804839, 698738366, 725197180, 733310150, 747188439, 941883043, 876535548, 973650432, 619291461, 953475834, 792093895, 961078627, 535510424, 884689964, 642347210, 540990384, 940315337, 884861489, 822324673, 538682184, 638454309, 978243657, 757593216, 740726727, 690375355, 784017182, 767267718, 544332725, 502419002, 556865041, 541398385, 718410973, 622591200, 550357480, 707622528, 693280223, 502046249, 759252579, 968457095, 842312450, 688970957, 849144221, 689749852, 862777912, 874360833, 696263530, 910297579, 524541616, 583243342, 517512207, 644543668, 643592408, 712548848, 841704364, 856917476, 712455589, 508691748, 568888179, 919647830, 599963625, 809593140, 542733954, 535548625, 926700106, 712951926, 853972206, 700808707, 546349577, 753129364, 722053094, 695073605, 987904131, 662018084, 935127356, 822014032, 966323061, 696280242, 799558778, 804089128, 682260300, 841545401, 653545179, 509787309, 942458146, 539540062, 636366872, 647156498, 862720913, 947760193, 553272249, 703911646, 895907075, 722811713, 617857132, 959573825, 714711701, 937362081, 910832374, 880296685, 991934178, 629638936, 894110851, 577343430, 795133890, 647834042, 990034794, 689156864, 923747056, 558721419, 727147270, 559124767, 616580841, 817524352, 869387444, 724739188, 656456691, 851494145, 927006026, 710920763, 917533593, 684420137, 656734462, 783617425, 980189450, 751515295, 646008345, 508656919, 551906238, 632213946}

    197

    Returns: 52016435235685

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    {185700587, 284189555, 414048217, 389716232, 133553578, 236134097, 397485696, 290999389, 228011904, 450489359, 106735767, 321254555, 207845821, 390461103, 486960919, 498640428, 385825840, 371271321, 437286666, 141366288, 280857495, 128843440, 326253900, 443482975, 139894332, 299318752, 484071143, 132832497, 231519402, 317800251, 381915557, 195036322, 87373925, 43460156, 469542540, 451144276, 149749159, 405390446, 57290780, 416961822, 471912211, 434292419, 489361785, 288728545, 201279238, 156750149, 150939888, 288203352, 167544413, 440670040, 209227899, 357838113, 223995779, 138364695, 30821226, 93359809, 92145083, 246412301, 95363521, 253256438, 153673732, 80666149, 95094314, 158435226, 382080003, 16877199, 11519931, 250088525, 172706496, 420156251, 317191251, 157114482, 262842750, 443406546, 399539876, 263568001, 128598121, 155163552, 142822575, 15746890, 13817850, 397200796, 149209994, 287176166, 264144290, 117566944, 68995246, 424452603, 492019302, 107681173, 329561194, 484680840, 219113097, 299105949, 251596499, 86589520, 28208412, 117435645, 87765183, 273072571, 173151670, 279790656, 396154161, 281991954, 438339455, 66969231, 166574232, 169987869, 115053790, 217087067, 209045139, 164300936, 286102550, 301994762, 325419548, 199022616, 250383094, 221103871, 228468699, 475468771, 209428286, 2402464, 322679373, 381279998, 281117920, 66236781, 144590211, 266560271, 200911222, 34462961, 281591636, 472952702, 68903235, 351424563, 116028980, 161012846, 228029049, 89075813, 277481646, 74448324, 426260826, 85770467, 358936610, 19910494, 110947477, 360395437, 208528371, 230468303, 52715002, 137058302, 411613848, 139200792, 167343603, 234490908, 229511081, 331780850, 367322730, 116696774, 385186333, 86507887, 73551801, 138070514, 338277632, 185921832, 6453657, 350016867, 335123939, 166927328, 175014184, 85589612, 171623053, 239284504, 112556804, 273730706, 62956126, 318473965, 255558920, 395102857, 406264149, 417736134, 289767302, 52052549, 61674552, 185760739, 128283268, 281497650, 284461100, 283485491, 160630529, 431899564, 346941981, 132999606, 182559762, 358697277, 2765803, 336196077, 31797726, 271038347, 345589197, 59758707}

    {706736512, 669454307, 871673519, 981110005, 628220221, 525239502, 775132334, 817879216, 787979114, 734973837, 864171550, 642623232, 748865643, 557249416, 770029910, 529314073, 930296496, 707036760, 906448429, 777043704, 549401442, 862696112, 523300928, 716523447, 801068412, 554937814, 828129659, 626120065, 696999165, 835307882, 580414281, 623679281, 981492752, 915119518, 654382000, 779697632, 549702025, 875954401, 510344646, 952295254, 992972654, 659295346, 580596895, 822262219, 958736033, 891183023, 714370227, 687880411, 645268690, 586246276, 611811504, 978210430, 674468956, 567516083, 783103233, 625882458, 826613552, 701558184, 860608129, 756313367, 583935118, 722624209, 696411103, 973258093, 851355896, 574404643, 641747901, 852867128, 624752102, 755713234, 610011993, 719673695, 997682595, 728783549, 926931681, 861508716, 952166250, 693525345, 643629213, 641335483, 605720875, 726950693, 671970746, 930613214, 797357339, 510997155, 647180473, 816097799, 764570800, 649816556, 742139157, 559876730, 987392219, 759863044, 544408535, 756352897, 682209985, 802139410, 966051768, 546461085, 736871711, 722762043, 864285295, 955113498, 708292893, 598138458, 744398283, 553231127, 768007959, 812374514, 994757325, 784823657, 709263650, 526782130, 751600833, 841612633, 955698471, 862407205, 602120474, 554996164, 979386016, 760498778, 940411543, 767015581, 961069208, 775232279, 970261958, 735093032, 643117357, 539048072, 519814459, 760388062, 517107291, 585599846, 975844862, 565461403, 755855246, 775070273, 999256514, 641530138, 848187175, 715309414, 642200873, 640875873, 661390127, 597644579, 534502148, 662523454, 630049295, 892805824, 955043851, 933785305, 631296418, 811461071, 608161371, 978778687, 602216580, 930283681, 518460155, 609918296, 632935898, 850676309, 859322948, 867734944, 749933192, 709960439, 831198682, 632577966, 831681653, 954720209, 605753721, 971994963, 838501511, 582043856, 622145081, 880756829, 680514932, 826547290, 831638791, 875657855, 707179461, 730963576, 935420913, 819597415, 721964310, 958430024, 573216200, 532327772, 643022773, 909787357, 887986306, 853889958, 589567801, 629291508, 951523146, 715554594, 590472060, 673450971, 858447499, 972666727}

    {557848584, 649147936, 524182285, 968715142, 764670418, 652414432, 879922678, 533320809, 943427746, 811683330, 592726139, 837112089, 841671840, 832228182, 810225693, 628314351, 531158635, 638905751, 827335785, 950424902, 961491147, 788237191, 958238639, 693736926, 560018711, 500637405, 766733728, 517958644, 664787211, 627099015, 846578495, 933675642, 849349140, 938877325, 538952715, 750351802, 998865856, 800310378, 642629006, 710643243, 715777531, 526666997, 510338941, 798524824, 660113372, 944049363, 722265798, 908874083, 627262252, 656490890, 691492734, 786369129, 718819301, 637278315, 776863389, 817626278, 747326236, 957360840, 747591784, 894334120, 822581043, 967372469, 599634973, 570203513, 801768974, 699477388, 951088736, 613170599, 712905466, 651687133, 538002258, 771109854, 764108168, 594185242, 659778299, 571810807, 664188890, 532831043, 969649020, 988937050, 615802902, 524115895, 594846146, 720460143, 970259857, 724242700, 941658659, 845149448, 963751854, 521592141, 625056781, 666347369, 583873735, 982144313, 820562486, 579112613, 548024255, 507773521, 979414911, 819170161, 954097285, 724083336, 637465978, 844687746, 834889856, 626900582, 694369937, 529905988, 864871505, 768172766, 609245724, 627352260, 750533237, 676638178, 589868917, 727623481, 519621323, 973792500, 655790452, 658916997, 930433493, 555802009, 977170289, 635207350, 944178926, 967602315, 990196920, 541161919, 718255281, 528159429, 511377850, 619766615, 877769395, 513817622, 578309849, 990581042, 825625987, 630844645, 510229232, 747627605, 930579916, 631845528, 710400785, 969569514, 655683618, 593098630, 843720077, 926561538, 705007879, 885192308, 732383760, 823886934, 714940615, 652239903, 612808163, 532085999, 897255846, 593600674, 909095342, 789827662, 513827686, 815732153, 831446714, 635737467, 582785591, 979322127, 639925332, 840104380, 665231921, 573329111, 979264231, 778382209, 745102304, 896298273, 644209582, 765547333, 877214328, 871884103, 661437734, 864505134, 978702105, 856707153, 871035901, 878658778, 892068446, 806292187, 612414610, 813858908, 871740822, 933160850, 875039302, 972066354, 803516904, 685086170, 526436465, 593561338, 997842559, 872518472, 851165185, 627224248}

    95

    Returns: 40289463399233499

42. {8289888, 493069424, 274602590, 489792394, 215504820, 96319069, 377813912, 180684411, 285592379, 395639854, 195223885, 401149063, 278108275, 158519516, 381219438, 67822894, 250845763, 323753995, 276064392, 262078266, 423638868, 206922075, 480844226, 410101010, 183059895, 21243761, 201251923, 253307137, 399541397, 289467997, 17263835, 390614384, 103463595, 475017160, 481336284, 8620543, 281556051, 4083599, 9389866, 489400423, 2653038, 32298400, 278011196, 196125526, 418221380, 212685898, 242814787, 490206381, 341210056, 273861882, 302585276, 77884165, 340413938, 301387762, 385859977, 365137289, 35075935, 353471166, 404862422, 278479691, 226926163, 166712437, 37383265, 23563887, 17047907, 280131871, 142721866, 448547975, 144133486, 123076395, 366289916, 302309574, 354094943, 430336829, 462342033, 58261504, 117467046, 77274885, 270031508, 241070756, 317410183, 438700618, 383518022, 272423125, 54764819, 254582727, 315907971, 113839915, 209678200, 287076283, 459468679, 347019249, 177452441, 124599362, 101397157, 178258539, 416932539, 479587823, 377007210, 200421164, 459378170, 252902905, 104820782, 105660803, 129573226, 284296910, 455443376, 199034580, 391046200, 375872217, 102325818, 181654447, 61119136, 214631125, 164987150, 257576547, 440830140, 222118214, 26960480, 152388730, 215026698, 390467234, 91115870, 115181644, 202367700, 360160621, 34614504, 227838593, 338315745, 469224934, 208847803, 390837196, 429415382, 435945998, 135357133, 136711283, 230594029, 484788994, 426150812, 441948024, 371221669, 429619008, 127115747, 416206852, 14433116, 83264216, 425877084, 2721674, 8900503, 148697124, 107796969, 364082188, 76353960, 42600957, 74306815, 283965286, 62466485, 150561112, 69675360, 5169732, 399799950, 317646489, 305762067, 331706107, 181843093, 275737111, 327494252, 19592187, 275555251, 73847861, 86684857, 454870363, 394418449, 120041269, 286228553, 477722439, 18656752, 12334606, 60512380, 47160535, 167434625, 106517694, 195345499, 378659277, 60564028, 66587857, 284237454, 354214994, 256373305, 369160983, 271130321, 51316268, 347851683, 325679303, 82857331, 122960261, 339357624, 300019250, 291331264, 375699687}

    {476761075, 43285555, 395810393, 376124509, 245140619, 71975500, 229414904, 460044186, 363746559, 451922010, 448379718, 6912498, 453994361, 3462670, 455330084, 260137758, 499789567, 15547085, 138717677, 181132044, 107690070, 125306133, 211193641, 151514587, 287395289, 335634646, 329242628, 87976307, 326707537, 27856496, 224291844, 108531624, 100320384, 128512057, 179398671, 456061209, 467420459, 161098421, 38607775, 329665445, 486503002, 351489243, 310377686, 251057667, 328940359, 230132482, 212865892, 487386303, 21817872, 364337681, 63081055, 454711932, 120228251, 366585430, 318545296, 346988650, 153315969, 438668169, 40794698, 111132542, 412157868, 75630852, 244684837, 343153662, 158686546, 301406045, 323860189, 299480181, 443879699, 434520814, 84646302, 828516, 294855949, 184477081, 447691151, 141597846, 348528933, 32292802, 336793854, 212084228, 256259769, 355584744, 73615432, 21868474, 345088276, 277841230, 361798784, 364861281, 460118938, 86071948, 412444508, 332974796, 285135506, 266402437, 398499002, 302342295, 198246633, 163793130, 472712985, 393217970, 229159910, 382745812, 276919652, 85639897, 69897718, 275331155, 161487404, 116691240, 359739125, 395761017, 409661122, 265186671, 14306046, 247718950, 178488214, 29656716, 487825302, 407302324, 306495489, 167187075, 149879885, 61280106, 361271111, 136409571, 300955020, 274915131, 6640791, 166215813, 229440732, 368669733, 164681916, 468213362, 16381787, 149135696, 353242686, 292588041, 248598420, 94117989, 94030261, 101722198, 286006191, 413128591, 205953908, 402667149, 145587337, 410386018, 254176127, 287350800, 470599505, 337547496, 157699480, 323806364, 127872190, 60051643, 236644889, 207121555, 339392389, 433563869, 44394506, 499745372, 395347711, 196875275, 400586453, 102372188, 494106998, 151804881, 75432850, 409510679, 417845950, 302453824, 99213157, 177277491, 340996540, 180324114, 408417387, 220825819, 321953033, 65678872, 227931828, 125157155, 410397704, 1550437, 157273856, 244848227, 91537592, 46642913, 170968530, 254194993, 359767434, 82727590, 358318292, 282165717, 224249511, 303958775, 111091211, 196990428, 115294601, 459930923, 66616256, 436821104}

    {923487799, 847200527, 890879421, 686892265, 966206338, 991744284, 706449439, 749281984, 857951169, 507311682, 916745246, 965590174, 557037288, 557293677, 583348115, 892039558, 527910926, 697422620, 700208273, 557343080, 632124746, 638157784, 672454004, 971144777, 839069723, 524327272, 549576157, 620713080, 668049389, 790722049, 774880288, 787382976, 757859673, 694544009, 633584078, 835513034, 598786984, 824767514, 555406229, 613652176, 515965910, 598451091, 965743118, 669379978, 923749873, 747828366, 662628938, 523713695, 891371481, 808164141, 722230153, 713490593, 759685981, 656945943, 532539185, 981506332, 725950340, 715273325, 517848302, 700419256, 929126958, 579264500, 623804297, 611920267, 898275975, 646678045, 899628470, 873605557, 634306851, 679958899, 986289135, 500335584, 579200720, 904762028, 719938049, 759249686, 508492913, 789711471, 713801233, 989241451, 985603789, 698687961, 549478320, 690811636, 553325518, 522861705, 567632234, 645247760, 936736896, 999230784, 972477863, 938934224, 653229183, 733175469, 549050226, 952623265, 683963893, 967585849, 862816442, 633972665, 902308305, 813604419, 931185830, 936339894, 843211489, 982112796, 527306264, 557517167, 795757157, 776065641, 618725890, 623122248, 786502802, 937928568, 704253607, 913555298, 754264760, 759593118, 597682507, 970003187, 691995238, 585289495, 640047210, 689650376, 794113364, 983619300, 793855999, 549670812, 785505525, 659064748, 919106064, 993591287, 582848512, 699516179, 860857830, 683977133, 619839376, 695102908, 585568763, 785747105, 825284250, 628288133, 943854116, 621166717, 990554585, 633678266, 780750699, 808873659, 719050778, 893055396, 761437901, 702858186, 545647904, 734343846, 789909721, 760020164, 643396031, 919894595, 706791092, 891300908, 567865635, 870401715, 748436043, 560811824, 935671219, 632114954, 775300303, 735117396, 868800730, 529880194, 843503343, 609014282, 848190431, 756404308, 693867639, 868007921, 638481173, 525853870, 635162029, 923788679, 886486389, 776624086, 866641386, 701878234, 825790126, 697662969, 537184577, 978812963, 506596898, 535239279, 969425975, 852684402, 927555355, 881910085, 701243299, 829691487, 551711100, 669655443, 651144901, 709357849}

    {603619686, 778224452, 766639216, 921450323, 807692796, 613866648, 977005405, 822067089, 930664259, 828126364, 770083991, 942709630, 718097297, 827678251, 834705685, 686118919, 658844586, 657002976, 772553099, 654741949, 687005799, 859287723, 596867457, 983656592, 553008119, 949902070, 751265523, 589807973, 687236954, 699321638, 636081698, 884621736, 825589477, 577419289, 538670627, 979318361, 920775676, 523921251, 604581689, 998926253, 822312881, 895086388, 544036109, 544955758, 967055771, 812424129, 920448917, 528606641, 707112410, 564418698, 700668087, 614207637, 893171257, 871886909, 511146419, 576875362, 567031180, 955332182, 892548978, 500534214, 995419896, 722192391, 938435594, 728136368, 793889960, 798436000, 873332461, 845637584, 945938699, 599857216, 841508199, 606927775, 960130226, 610995222, 950515523, 660465280, 663173708, 682624344, 799471344, 883323677, 573348439, 707737428, 637416515, 957140804, 636620381, 702622349, 590577849, 622161265, 976770851, 992687327, 953076279, 868551190, 598459583, 673515806, 909573903, 903986710, 686688537, 757333928, 958549279, 663975680, 986145239, 576562475, 808921641, 903036509, 908302344, 950688062, 680253685, 541134537, 586597642, 597538327, 789577257, 710731450, 680972513, 503288078, 826440674, 538904949, 541688943, 721654586, 991745865, 729226702, 842285079, 558828173, 534784749, 871668361, 782558763, 514024531, 712213956, 763998688, 845355302, 936025474, 552164577, 939863404, 729580560, 807868981, 822771470, 596604341, 590415951, 589582843, 961238953, 733481884, 502865592, 629307918, 612584254, 707778306, 786648771, 672857605, 613628550, 824352417, 553790967, 921971030, 685200201, 734402492, 629493625, 772584754, 623192814, 891933240, 641867531, 736687068, 535458726, 798635561, 533694645, 792449991, 598845149, 774914769, 569876023, 612361514, 822960086, 519433720, 976043451, 719068523, 738168166, 526001018, 980974913, 998237265, 503999446, 641161741, 907124498, 687242320, 914516097, 760631013, 772590042, 877572450, 796242526, 917012473, 816230833, 949435331, 784653855, 735349676, 512486183, 862490298, 781545220, 949102421, 530489870, 584018282, 832412001, 597103805, 663190282, 929505087, 747842310, 853339710}

    61

    Returns: 84604861350175521

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    {248882035, 37989460, 33427016, 1530607, 420254330, 278348556, 118822807, 223062467, 55851572, 144120368, 381779712, 218936628, 231367188, 343645406, 26198170, 56465657, 205349980, 397315753, 38844660, 299055009, 224446329, 341242758, 76723640, 469028626, 121482988, 262782998, 428758066, 456890255, 155554981, 453178601, 451480790, 71311853, 275120768, 439572190, 109540543, 166239161, 272535277, 378688554, 482413332, 318727874, 455659254, 241783021, 134904076, 444746597, 328021137, 202031496, 206729353, 331556961, 16201725, 416554483, 192154398, 40574761, 197902773, 346317840, 199296921, 329475128, 135146906, 204172480, 387119121, 227208347, 485664400, 350709719, 489217844, 483265176, 424341335, 406357576, 438429154, 174060762, 335947475, 83302955, 259133589, 44612398, 50635555, 173347392, 292428302, 444040178, 65609066, 441234073, 130060800, 32444564, 15869179, 264032138, 459063477, 250465415, 360938892, 92521124, 3751117, 468524450, 112983670, 104463215, 205050626, 481256897, 313821261, 444971843, 231260986, 197704368, 135238666, 82747657, 191503992, 379565345, 417800490, 323118088, 296302650, 303042498, 351470334, 135481589, 341792441, 107653234, 133202904, 186903603, 465732869, 245302031, 346627588, 370487170, 186466274, 276517003, 270495071, 6387730, 162971641, 394914201, 8590077, 68838086, 196123745, 424184405, 317909541, 397795220, 492509602, 16690304, 310698407, 363040810, 180165826, 56417614, 192277629, 112217609, 331283486, 364863667, 334067498, 497188769, 179437963, 275505803, 187948599, 189430399, 70049408, 125654188, 305559622, 246358978, 440613122, 10633911, 43131477, 178867292, 377657715, 486999380, 258795548, 254216244, 259440869, 395785690, 190860872, 222722096, 29431415, 189717590, 8775632, 258756640, 258151297, 326919993, 407438145, 247881048, 94203756, 227615255, 378563950, 2837484, 397260458, 188243811, 7070715, 191125458, 74330605, 286752137, 457181380, 335649230, 322138526, 401957590, 322680727, 130887925, 23733695, 242692895, 268469245, 489240397, 393870914, 309177456, 142480680, 277325783, 314731665, 240531799, 203080371, 349707470, 115655296, 292416992, 197343576, 12481741, 89995402, 413146513}

    {551466179, 679141115, 831680765, 506485347, 563970160, 845062916, 508548250, 705988354, 833280026, 973252642, 846997776, 590303844, 766361527, 553034226, 594284217, 916721127, 509927029, 651577811, 825435901, 651180208, 982984932, 968177244, 962901035, 747518957, 949106238, 862825887, 820169684, 602272133, 586725057, 624157669, 793093993, 964403426, 962701831, 878654936, 833551155, 593305152, 976544880, 529558034, 585092864, 946762116, 771067332, 759369436, 994901985, 549273947, 722039504, 587747157, 854007964, 651569431, 609914111, 648466544, 766609757, 969833045, 503406227, 684932433, 805860729, 935176370, 515314069, 773185479, 980987959, 557616078, 567776101, 972125656, 978189857, 627861605, 950262498, 727151980, 994301621, 936381189, 862641586, 879375300, 997707126, 615267172, 709743195, 646876333, 857351081, 856905064, 843588602, 862775442, 666151172, 655475802, 554537006, 845533285, 580115731, 619044724, 635501337, 945661506, 874060076, 785006533, 591741448, 872442605, 704799436, 882534750, 858024144, 717582516, 502868387, 913908106, 707289471, 944535014, 989502251, 566893891, 746129107, 782805137, 755084216, 730124282, 953862072, 740936139, 684463312, 538292361, 722149895, 818782018, 592586103, 929176256, 549465138, 785493751, 741232965, 764844061, 652885630, 906168707, 968910394, 677334864, 877985472, 806573021, 693399933, 741734840, 712733323, 870248836, 956179557, 652374430, 663626021, 725088495, 609530580, 831488615, 569835296, 543522961, 688953955, 599114867, 626306965, 645845823, 562455868, 879331985, 732262537, 781585522, 709162818, 793840339, 591870811, 597817675, 858947910, 644761964, 888369929, 877345066, 596084411, 602452519, 706670409, 652798102, 612333872, 850657938, 929939934, 837249509, 943381866, 906911025, 792867217, 739155433, 566532701, 752059181, 594333918, 820333719, 597201568, 736923485, 615949375, 598923679, 639571235, 553925243, 812786150, 933630774, 722804387, 662196732, 718316485, 735623119, 939562518, 610545365, 681101160, 869749807, 806649386, 871384520, 668233527, 591211296, 748990402, 995034466, 535035163, 761761761, 677732881, 888522198, 570946065, 747410260, 870890436, 931662392, 883372670, 668245829, 659683613, 514694152}

    {717312389, 508162830, 948818038, 676206893, 859820980, 739851396, 552339331, 828387586, 546856730, 791926303, 549178697, 758256326, 926498092, 631239864, 540349675, 534152822, 734033677, 781828208, 797030173, 569699003, 517853147, 595062758, 943736853, 888956344, 735819276, 776033895, 865169763, 923919398, 857491385, 716278771, 746709350, 745216247, 697556331, 752386395, 939060396, 952248069, 796726462, 970487975, 895424394, 567443680, 996532823, 890136811, 771516889, 792828519, 773555283, 522854082, 904837187, 686189894, 889118314, 860511439, 582881495, 543692222, 560306210, 761777763, 552790236, 730967796, 611356326, 517681074, 601797017, 645226074, 986618973, 841391494, 966037529, 769811254, 759452299, 693644555, 917431278, 843658913, 791644080, 529880087, 547082360, 778299529, 603086454, 718428906, 961654174, 657773379, 512816674, 593161653, 841828913, 953974582, 711122729, 769560378, 745156420, 898274468, 852482003, 909924022, 831320824, 504424517, 946468998, 742149062, 555887632, 744175967, 562955128, 602644591, 680877393, 713177576, 851667319, 720711203, 712858507, 665852186, 703970044, 786309325, 739611913, 774029828, 911930525, 643154560, 877391797, 978655024, 829608455, 950775325, 880604286, 785945894, 832868924, 535403945, 710555330, 516519021, 895889298, 836600925, 518592184, 977878840, 650405609, 834423292, 837006287, 817034788, 964334914, 583210111, 778694210, 860030376, 978289343, 966481137, 899980637, 750324210, 827954944, 561924388, 609478656, 569576190, 948464144, 858630156, 526529224, 654930587, 651098692, 508357256, 986382645, 568080563, 666382083, 806978932, 797372251, 773578542, 843342856, 556391124, 957847827, 727025158, 942783056, 940211927, 749015052, 829047470, 539637319, 933588384, 665235329, 970985100, 833192502, 608936969, 608446109, 834263383, 530870202, 640029704, 508165476, 502682756, 750780968, 739824872, 627166612, 605068750, 906964181, 760184007, 734297127, 920482820, 942799615, 903269696, 968535434, 703825725, 990257541, 764468360, 537895146, 637335411, 691723359, 815080803, 932122179, 840761272, 981980295, 661827928, 982215681, 666559056, 673684035, 745276906, 660572418, 586198268, 631115570, 660821029, 817043982, 858467079}

    145

    Returns: 9120935495014050

44. {107799128, 3928542, 96332980, 244020583, 12363572, 332734756, 371911686, 122202282, 215881756, 229488984, 302246436, 248995742, 319707228, 391702977, 487988363, 29130684, 38272806, 439443479, 447344296, 129983690, 486112269, 340498636, 370309382, 456030998, 303679373, 222181637, 61757893, 246495599, 66519646, 17888999, 120367825, 307559510, 412752893, 473277460, 19479472, 74050370, 774638, 159454590, 486918218, 384439273, 278108435, 231124384, 197859461, 60950398, 428131164, 371235028, 244234807, 153153993, 80697459, 169392071, 56699358, 65473124, 367682548, 398823483, 104194366, 348564315, 420449984, 149417103, 273102938, 221168940, 163576560, 140448047, 256572807, 126689187, 158707899, 383554134, 94912196, 18023628, 303670812, 60808113, 20954081, 63135425, 47443391, 165987986, 309530186, 150195758, 93883491, 279227710, 322079632, 232978226, 73599948, 203391133, 138583319, 487736416, 195523241, 33642539, 67511748, 491179954, 45337785, 148024232, 297331169, 275746227, 187870303, 286012362, 343534221, 330396464, 490178231, 404692867, 363296877, 154060010, 403041399, 313757200, 3172233, 70376102, 28109681, 79509827, 251372630, 361737343, 156890088, 349288897, 395319437, 47811825, 313622710, 456016930, 349297614, 10601377, 156355672, 148978993, 475763412, 28585118, 466308460, 290381807, 474075057, 244953933, 475351187, 206240170, 478821170, 176872315, 273899722, 194976432, 16443734, 297041728, 171349885, 198501682, 279079538, 28250190, 483380152, 123640332, 339712947, 286998034, 173043192, 329636348, 317573029, 401799551, 212548057, 127019853, 285488567, 324931957, 63032820, 179807643, 270029722, 456511336, 224520662, 152802557, 229050109, 204873764, 203563812, 38710508, 275599419, 177207948, 216535365, 74542508, 257988162, 44487242, 421061675, 130164120, 238140046, 292012302, 57020085, 316747478, 357974822, 87125277, 172771739, 452737093, 311655288, 251837239, 77932172, 100915746, 165530261, 376285144, 320923566, 247005997, 167926041, 327638789, 36462770, 288090890, 196701364, 222001969, 453746047, 367198058, 290587195, 372385741, 456186938, 263806653, 266306841, 299710147, 357690420, 110672706, 317496313, 319024580}

    {211841863, 166378791, 179484294, 290654749, 243463076, 209019543, 54033835, 72221568, 369188041, 164945694, 228416334, 45079455, 218147876, 405352741, 29144584, 147111351, 302083229, 132054240, 488613166, 88513525, 34270505, 229794868, 250826297, 77187918, 207984926, 240376784, 36291594, 202447455, 358493793, 82082666, 45247416, 220498257, 183034452, 21080601, 12254311, 118113082, 219992897, 478709208, 386453697, 196322462, 80247431, 349150819, 119386976, 227552686, 196491365, 329652376, 434604132, 381408383, 359441249, 444323632, 43619603, 342415164, 426725808, 373911896, 154244118, 208354901, 303673899, 223098737, 450568479, 199537091, 340537505, 368925572, 304823795, 63631776, 379148210, 322500035, 454045036, 335578620, 403823072, 37324447, 29542667, 442518500, 331354861, 325360663, 79285426, 339645215, 444803838, 338285003, 163202940, 497839057, 81484232, 87059500, 237976996, 214340746, 317338624, 113159020, 183427714, 284831901, 46267284, 353605869, 277156112, 4383315, 45436379, 353594444, 245059824, 331795694, 125390493, 421869709, 85378706, 278575721, 140067545, 499312723, 128303278, 191162402, 177803237, 145269923, 189472502, 177856619, 207370396, 415763487, 42664648, 476769499, 352058612, 88507394, 354996845, 440039129, 236247811, 237684596, 316293222, 299404523, 381342683, 314965506, 233455468, 18094087, 74507136, 85436795, 261578928, 368721901, 111649981, 56491750, 134471221, 149022354, 438093429, 195255814, 261297172, 209882704, 437092068, 350158547, 333111019, 259507393, 493509193, 291485737, 403631204, 300257206, 341724081, 388941440, 459055532, 112096063, 118198669, 85739052, 290252132, 440621360, 259385765, 277016498, 82311780, 487382379, 493880214, 365685371, 179532624, 451486986, 379938599, 2599280, 274063742, 26677184, 416134865, 141772845, 469236094, 473165842, 44414979, 344330499, 305864458, 39902169, 350925235, 78888657, 493618771, 73396927, 186239344, 173050928, 221032055, 21761111, 328843695, 292594617, 206055263, 154295564, 76446891, 374231935, 3977961, 199945593, 3341492, 386366275, 261357706, 148166049, 487732597, 458401388, 429432778, 348867761, 109605659, 184592315, 434570125, 327181825}

    {607250006, 760978398, 972247638, 809454604, 744175691, 559937646, 518435170, 992552205, 624439857, 722467244, 575925386, 804787231, 863671709, 763005054, 660237262, 735607255, 507709422, 891819909, 506119344, 835115955, 577558243, 906634998, 681259254, 574949997, 863720534, 525337571, 823870425, 625358102, 513609341, 621090229, 963964330, 953101274, 519425542, 813695971, 823752433, 584075105, 581915687, 905787133, 536419636, 840686434, 643582307, 816510964, 855957691, 671375948, 603299405, 968147582, 586228320, 939783927, 552705062, 749607395, 870063429, 948615050, 709295849, 609586765, 926079923, 851824474, 539611739, 665090585, 533748986, 794128926, 609248986, 984522976, 975953149, 882368601, 745557038, 737188410, 851228003, 619268938, 953958079, 610177507, 645291017, 702839729, 861050605, 818246883, 988687706, 971377821, 652508658, 517902532, 567588610, 988034479, 706794383, 611604868, 832262005, 676402618, 541382552, 655420348, 876310019, 792407474, 735680206, 506045751, 613450033, 731312380, 974474081, 893913481, 840115125, 518363033, 826173263, 890288994, 651699293, 501796360, 585070477, 711625191, 816796230, 738568669, 745183006, 959541700, 577650507, 591785036, 988049135, 776245548, 731132798, 609244621, 578902750, 546593674, 598116899, 806522678, 606784284, 851835855, 534654030, 632148144, 535774699, 549437675, 900928848, 693487024, 996764428, 909720922, 864406767, 691665334, 553063210, 992347473, 707098067, 699161567, 824446058, 897390140, 621162020, 810522191, 538407325, 582676330, 820424007, 789816592, 582019737, 774472280, 541955248, 801474346, 595001609, 631551716, 770782869, 728891855, 910652966, 993721126, 739232044, 894907568, 706578559, 697438976, 559078780, 607616735, 995212780, 901103480, 638237419, 790786460, 587016339, 726605772, 727911674, 701019085, 834029603, 708973793, 600416452, 752209905, 767216957, 997993669, 654228725, 920785511, 525936723, 825914902, 956489298, 920850638, 857679078, 861166326, 981715494, 855241331, 653758182, 696050304, 803024286, 581816047, 979399294, 646014678, 701063143, 827033425, 573792327, 679908469, 812943736, 716346500, 844376725, 737858766, 989613009, 765309478, 538452607, 934824248, 995760550, 811818233}

    {576946020, 847804852, 909209989, 694749997, 940851190, 749943244, 964380831, 533941940, 675828882, 789485324, 799776252, 853252657, 835528653, 596468396, 871204425, 956620688, 616879940, 883809979, 797418312, 558112428, 887477761, 945427672, 859441018, 689859733, 923148271, 859887733, 645459680, 913819914, 792020798, 806428309, 797361881, 974834232, 917449489, 759491704, 774633817, 598151306, 615786147, 897900458, 727539312, 835257303, 868808746, 955737434, 747323587, 592067053, 893873819, 911619051, 800141926, 799847083, 506615548, 579383044, 608287844, 929539182, 837585301, 661741090, 850815651, 659303865, 980668089, 960152531, 864363574, 568912800, 545311321, 654392805, 893713852, 634700856, 757887144, 644040435, 886689829, 812851567, 786742047, 572576886, 983224489, 894842587, 647472391, 850274139, 983627252, 560803341, 844696646, 735819655, 950029973, 862783645, 828422638, 891960273, 862185472, 570765415, 764386830, 726298782, 999594248, 592451349, 578263253, 975927164, 806181973, 621387441, 521563533, 788832927, 590655168, 987246418, 705992918, 814768821, 548325099, 721532486, 516895628, 780344723, 591471208, 750738790, 950230948, 869059869, 664914148, 511771412, 892099951, 772085739, 755504608, 597033019, 842463720, 536761446, 762590078, 600483247, 517009202, 542661727, 933419514, 767002096, 982423086, 768910900, 545375662, 906241065, 554171249, 806155334, 970901500, 508630095, 989879083, 872112998, 777872692, 522439418, 550518607, 537274073, 622354022, 595700409, 555954667, 759950217, 643850125, 916388156, 980272771, 762513103, 745704205, 924463700, 547316780, 694532511, 664480091, 801309670, 523874915, 745763883, 872918951, 866382359, 944477642, 637201737, 641308708, 977619412, 706073160, 928737357, 632680296, 999742604, 662498656, 751156806, 806543721, 936917231, 947714212, 800772588, 991815722, 813974809, 599152522, 698817993, 732833745, 689573772, 683979952, 634395298, 767987647, 944748549, 573147457, 802795826, 600657408, 658053417, 597794596, 581300641, 731245565, 773904161, 948534806, 919854452, 640960224, 961556106, 678378212, 562389355, 663037082, 780436069, 559274508, 780040037, 912321192, 834364715, 561697254, 965112231, 711509066, 777149068}

    79

    Returns: 64740227089743803

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    {918856736, 959985931, 684530722, 960752107, 639962330, 542353215, 911471809, 972044804, 838750706, 791780987, 888731182, 887447091, 930235378, 858581761, 756578617, 636851070, 557089465, 602646287, 843964865, 725608277, 738179969, 672567596, 905171968, 624002464, 617977383, 840355988, 896840625, 766136058, 907944157, 709363501, 890777796, 818753459, 671980361, 584069353, 596332856, 846378783, 696071280, 801430368, 532694993, 788285141, 506552223, 869473856, 677857957, 889105219, 623986156, 835790892, 988422804, 695466791, 781714162, 773014537, 685275980, 697847162, 523853368, 771498577, 771739349, 927480357, 533975895, 543782208, 861532640, 601995058, 796874054, 889026404, 638485275, 933565213, 948649784, 702828471, 943618556, 677680246, 725688241, 808868079, 855540921, 700146705, 631768581, 734389230, 696280752, 786632574, 501845147, 659908079, 762596649, 893077180, 958410247, 619254661, 501956854, 751392078, 905865908, 769050457, 722348240, 695353963, 517126956, 624938324, 668236057, 594953882, 772482915, 722934831, 829808049, 559230442, 994880938, 714516055, 644693793, 648030685, 513111410, 538067907, 796485861, 510040807, 720904133, 906526704, 996229974, 807943325, 830374138, 639240132, 501454637, 927780078, 813041047, 616937735, 904132668, 719838713, 780876213, 859342947, 766397376, 560209931, 746096790, 787277901, 884095514, 949343891, 948541893, 920944260, 964203554, 885788066, 818414462, 649977319, 680846964, 951909890, 975840673, 859053175, 879079352, 837910241, 920721384, 665953671, 657413913, 556655979, 559811610, 890620155, 736845873, 648334325, 969553479, 929909946, 837669060, 558410166, 720422005, 504680308, 998123104, 594538316, 511654458, 848862294, 806020101, 536808676, 883453974, 584294739, 633378484, 708499854, 921868161, 834789177, 770000766, 565073733, 509771497, 971477081, 843802145, 578064790, 909468275, 694901301, 565794013, 872809128, 988053876, 530321911, 588411215, 993019479, 834810829, 508776235, 894488724, 785457604, 800824858, 930718471, 581892980, 568337844, 955496026, 715858416, 842167215, 606240648, 896849317, 572023654, 608736739, 865544547, 877361958, 928968795, 865404027, 754234851, 852060240, 765701220, 822840934, 523992883}

    {567547808, 543610250, 748650365, 609838105, 964555790, 864033176, 642843385, 619246670, 727357570, 928452387, 917612316, 764123993, 616001297, 915076543, 508621088, 920374178, 779970234, 815909909, 820546272, 750242551, 826959870, 902199414, 769519024, 650594278, 941110487, 923956077, 563330138, 983213337, 802864532, 840774155, 659515030, 664425963, 684593384, 652519347, 579886243, 549890217, 597547543, 574340410, 786491650, 649572400, 618929002, 927743889, 515543857, 770909216, 648014113, 558138647, 707522612, 614191215, 881854396, 943996795, 868780989, 841627063, 800606645, 694986546, 889507884, 629703653, 974503870, 638391647, 809744499, 555071826, 659306961, 722138349, 554338357, 681243439, 831483939, 577897987, 643029303, 639445342, 970395112, 993348384, 950692261, 989924496, 530001649, 550781573, 725204545, 699833613, 582922361, 699207772, 832952337, 798493399, 723068801, 874601412, 896594252, 977116708, 919714765, 896965035, 625382839, 698183137, 818159211, 731556825, 891524533, 619290103, 972633609, 645564858, 677301597, 688114391, 974103219, 720701945, 720123417, 646898745, 626850483, 820785551, 782211120, 921398896, 720389921, 613946885, 685118227, 995826671, 826406418, 574268416, 760498387, 516265477, 863974993, 619295799, 961937470, 810565959, 567423937, 652938945, 919289306, 779621764, 900405236, 892345934, 737587858, 651504452, 954764542, 805767369, 576190239, 701838711, 957995675, 946467779, 859220277, 616152754, 950305082, 795263556, 703445584, 552463084, 610765132, 533518010, 679273208, 812746970, 927196800, 667072376, 987869589, 571923244, 774416806, 937967862, 843767611, 653013749, 602798164, 601168222, 746837219, 782102300, 683600628, 664372323, 909450337, 551865307, 556268364, 845155047, 921767866, 830640005, 704396607, 714105739, 644727887, 713478274, 855698653, 788767098, 600038854, 584068722, 712998357, 570919010, 963571517, 671693626, 848716116, 534465912, 947332998, 560661912, 772395106, 513006015, 919766360, 588208659, 731152080, 503938020, 655532162, 774603849, 626854610, 916985744, 572204699, 668897917, 963000581, 731454175, 749956903, 635697578, 539108904, 657194726, 983082671, 530956137, 833874579, 807958320, 517533278, 838087724}

    84

    Returns: 52547963221237232

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    {478609154, 120406275, 212260317, 302813532, 257447451, 235607665, 431073614, 231226215, 317111887, 76500724, 371940229, 295594911, 211566766, 129933960, 380783704, 311489935, 474217840, 53001671, 196418880, 94569172, 59962340, 428979420, 265209038, 120382607, 109985284, 32003145, 351342442, 120512272, 256670081, 385735706, 197081453, 233412206, 105092464, 29735324, 129306778, 333650673, 94462498, 303776139, 81012308, 452533072, 196332485, 110855242, 358432737, 98427236, 80675727, 24812119, 244110489, 256142215, 349615840, 180716228, 272217461, 175088604, 27359453, 436498744, 275625427, 497735696, 415345399, 451394388, 226355002, 32382098, 297762313, 49121405, 285024062, 56842949, 114286469, 494181000, 477857844, 365516136, 159856622, 381852506, 245582477, 5551045, 443879081, 182360702, 145271699, 143207111, 326688040, 15829799, 485804823, 104598134, 29717007, 119247142, 405827271, 451583130, 222593031, 163466408, 360650443, 416488832, 93758624, 72201445, 381250995, 50916033, 140505469, 144568931, 387695291, 464878717, 467577832, 66714134, 100394733, 305317066, 159566128, 106168353, 9228775, 449255856, 103153806, 119061836, 47243882, 6176600, 481215083, 16320327, 49690627, 373655631, 175705245, 262773984, 52500312, 361045934, 9605840, 356847216, 130342788, 443151179, 301352904, 316051512, 38265567, 364139364, 9985207, 443051773, 6127620, 313512850, 361836165, 498107518, 79721721, 428820097, 428377538, 309735209, 334206088, 398311086, 215875685, 58587051, 86758163, 252672694, 351435037, 136018930, 495238285, 373691586, 11282211, 176492686, 421002171, 351560031, 431610927, 170605979, 123401487, 312972133, 141373313, 261130225, 496211114, 65472201, 346588990, 398050527, 416281412, 253788866, 318621035, 60372481, 446113396, 394648824, 169767450, 329556518, 151526569, 339251616, 106160340, 324030328, 3994004, 461800454, 301619911, 270331047, 173359123, 362323672, 19542138, 223123174, 33383974, 308984361, 392581550, 99042874, 214547280, 360159519, 323961308, 32908248, 206428335, 384824151, 352720533, 345446212, 155534017, 300011342, 337841211, 349554334, 109171279, 337679711, 287654461, 305487938, 216914575, 13680440}

    {566527588, 836263630, 760509183, 600546894, 665766779, 823815339, 747102290, 656037054, 504850962, 755392034, 643219176, 925848456, 768140543, 983591714, 543767020, 539892070, 801656391, 935107833, 941770337, 683256423, 764706987, 674907288, 584116591, 907059929, 923057474, 613434786, 750214583, 736538971, 821433755, 673092245, 512411196, 533167635, 604395529, 760647342, 640663958, 890097579, 947453173, 807023659, 930382947, 812538090, 779232026, 627772626, 576833313, 612396060, 613797661, 717026682, 905811862, 784309618, 838409422, 568959640, 816691464, 962045750, 703142699, 502819369, 777762230, 634721620, 997578952, 865734897, 647693307, 883779213, 726146173, 580923024, 897440436, 558375387, 965796524, 558340036, 578366314, 953014791, 789095409, 873982947, 659032495, 827214853, 746884202, 671197510, 689873230, 552803827, 913809628, 589853313, 760421791, 764584283, 937881713, 822074066, 889420295, 660220118, 833296971, 934747427, 528078652, 924462228, 944267429, 693311338, 621067955, 976001319, 538162429, 872072152, 530388333, 869429939, 936749288, 912128482, 830029355, 925460005, 748162843, 854563864, 961791718, 928914422, 552581840, 882237086, 826578317, 852710541, 942266606, 912985036, 799192732, 891550112, 752521136, 544318913, 742076687, 898324342, 762751007, 962541060, 596468433, 514619967, 899236844, 732809243, 962485804, 702897315, 516557367, 669121568, 922271340, 709160297, 532412287, 850635410, 813126043, 932546767, 567782070, 599015860, 850164601, 622289614, 505697942, 779504787, 751258653, 583641351, 630021334, 923781747, 585797051, 673486400, 787992842, 877304433, 514306589, 900419223, 911856039, 791117461, 699661012, 886581694, 888174471, 529068792, 732917074, 576425614, 776031307, 679244007, 964581238, 789682878, 933131027, 920706981, 761697365, 880931452, 963976076, 751287842, 867096774, 750464668, 866887636, 900220653, 883306770, 881646022, 516352787, 997321658, 756020821, 539451480, 542950380, 501514011, 572318547, 647013794, 975852635, 667174578, 800731405, 694412640, 955137955, 973463025, 680617403, 884671950, 708905527, 757256194, 529845125, 657103422, 524885907, 670059389, 781601475, 679204193, 760800374, 913906444, 555088317, 861063584}

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    148

    Returns: 6803146326844920

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    {139889583, 265160476, 395114125, 81401113, 409153856, 250679096, 113609287, 376396680, 375379779, 71961892, 457680235, 23954424, 487430142, 197836667, 435495793, 361416735, 471409198, 341568503, 336182873, 315416991, 220950981, 164165629, 338028470, 390551798, 73385968, 342770060, 450462743, 79170374, 456665088, 325704827, 290357422, 66291734, 329731012, 278008411, 275713926, 30899546, 302725908, 116638392, 497265859, 146672121, 153031644, 16925351, 123546659, 499564508, 96064796, 327113450, 224782980, 238139260, 215943487, 58066649, 464806229, 54895659, 264765846, 343802984, 133172427, 61935029, 296366183, 467892378, 40358909, 492851640, 166085336, 468779420, 231448462, 321623676, 124865101, 47444677, 253962705, 173380237, 83243507, 252788587, 353700569, 473034037, 64752321, 268283590, 49861242, 256580168, 46202874, 158480077, 472699306, 324008259, 97567445, 241609546, 217296254, 417247816, 442031228, 68843151, 227986785, 47299171, 33443236, 174170897, 422858911, 468791213, 198892447, 344311920, 68014686, 321630157, 393612826, 277842786, 66967737, 327620033, 467732823, 122938517, 23940704, 480266129, 14465604, 496326324, 6762531, 428476972, 454563936, 222366410, 80067191, 181373832, 416477612, 397430588, 381959721, 131436745, 202685543, 472080574, 366218648, 300360811, 158005395, 52293839, 499457345, 9873241, 262682179, 224921741, 331168404, 345592629, 260677277, 395033322, 493685232, 456915595, 396647374, 51083489, 154540247, 233890081, 419825077, 90942637, 394506869, 105974136, 263713229, 381435742, 215416541, 327882429, 110817960, 446406453, 156245480, 406905233, 71586268, 456485208, 309938617, 24514304, 231379851, 48040723, 199442567, 116162159, 275958288, 242750856, 182251738, 272393291, 276694714, 468460325, 442331003, 268497513, 51999688, 335454367, 56536003, 485485764, 45526473, 407006273, 201503788, 4447237, 31614530, 468552126, 40634347, 23094429, 338957115, 68779230, 95055371, 37721993, 382803997, 87723989, 78021320, 117532634, 146536159, 407316959, 483552605, 315199145, 496562899, 72177086, 119867331, 433685480, 428590007, 499424671, 97820868, 406843458, 21591478, 7031365, 133277401, 350951569}

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    {744095211, 851135838, 788964247, 652733169, 706632117, 562266544, 944687628, 745472097, 639985139, 752756670, 516200388, 644009607, 900058632, 710753311, 969630039, 585832576, 644583471, 738506161, 855230711, 755463456, 633747376, 793406797, 758555612, 971007098, 815524540, 573446190, 547645584, 628303918, 741110404, 835452969, 558941556, 907461293, 743366969, 940164967, 790224543, 918087550, 531300334, 560216386, 700659377, 896980060, 683091913, 885916711, 642511306, 804455324, 858574519, 582340244, 835814778, 584863570, 732440446, 955751858, 510897187, 561241235, 697477040, 678009432, 605461255, 747569845, 709870622, 766835525, 921809928, 985648659, 892147932, 794790333, 565948333, 898787252, 962393302, 872382177, 758375771, 553749807, 798758953, 809588615, 618353335, 944783367, 869264455, 800091609, 758945163, 709601670, 574066011, 730565143, 522332819, 961191528, 679235957, 828704825, 539569286, 583957548, 762993751, 592655850, 508797650, 595197459, 986516197, 598746915, 617428908, 782316493, 924101857, 792555538, 658922351, 976259179, 956052017, 884303699, 877473932, 905452662, 843560234, 751375572, 828632821, 581026819, 547174702, 942889137, 786080956, 698600482, 709775120, 997519012, 700899489, 928286927, 781419504, 727610882, 797784957, 845601648, 841953416, 736051174, 735700524, 933770612, 850379172, 588877736, 730145896, 898625723, 567626717, 674064425, 872143783, 856462895, 956708091, 724252778, 893154065, 575241257, 626794041, 550830867, 740406867, 997847558, 731963088, 699663014, 888727558, 848648572, 629601112, 577730538, 813543483, 711794898, 771761579, 901671446, 934942809, 632103912, 727974221, 631679767, 767390517, 770093220, 958522038, 853219913, 713792956, 961892499, 650843371, 512882551, 695914217, 569558150, 628943842, 726192124, 993811651, 603373668, 600163053, 865766787, 569741503, 783331904, 865734266, 680067355, 814119620, 612228550, 678453781, 562906165, 812650327, 926643455, 773655902, 930741007, 908013008, 791391623, 870448929, 614458453, 657389918, 585827995, 537671426, 505518217, 602055876, 522194278, 550844788, 590914827, 848029279, 699628981, 597206493, 602226266, 570019968, 730115708, 617512258, 523283598, 656305442, 563873773}

    126

    Returns: 15843453987326940

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    {220913006, 170369304, 62557836, 203429912, 375439535, 278028249, 329241924, 183393979, 191602574, 44536486, 483135664, 233505036, 398549187, 168040967, 101542452, 260275460, 48740907, 237155726, 153139727, 145436384, 93304391, 103969445, 294638362, 245519123, 385855598, 343141109, 196136732, 30418687, 320189864, 21576636, 242596730, 280426189, 446936525, 88734393, 163279113, 259682572, 194009498, 193932117, 344505930, 261675049, 145071706, 453319012, 148849576, 77731948, 344933432, 218972277, 131265408, 272387301, 370176331, 478891450, 482003143, 104680140, 22753707, 171194929, 94586019, 22687865, 150435527, 144545087, 441177221, 409832344, 399145966, 437603313, 237638273, 341025919, 64757937, 366932421, 189587404, 39966773, 112572027, 105658326, 176909137, 326769702, 492341839, 251415999, 456774058, 160545109, 154749669, 56553399, 1800332, 475779677, 491602754, 94639937, 239059551, 14272806, 75645410, 311767548, 179971331, 387022693, 237031214, 319786367, 433731026, 459393039, 186722360, 87613201, 375650230, 339119209, 266491556, 250953779, 120848263, 275666660, 408775296, 171757469, 185725488, 472452395, 93807775, 273900066, 160609841, 464448591, 66179050, 474533345, 259740766, 129978300, 130880853, 311526553, 128271075, 374370864, 130247981, 182408358, 323405094, 16829594, 481667930, 297561750, 58262553, 3871784, 173241201, 487794011, 453397536, 409040652, 224874390, 42025808, 382392782, 78150227, 82332788, 338905002, 25609882, 130340425, 193645649, 347986765, 306089549, 311069463, 289013443, 69065992, 173365066, 332326583, 486024672, 494386053, 62064707, 397547555, 280214361, 352524150, 46258114, 440738886, 167745216, 19991192, 372215696, 417121786, 74153939, 466043351, 12119089, 88587033, 150317822, 312407414, 212036554, 469583019, 172755279, 179832876, 267460290, 226698320, 254000690, 406666727, 213624006, 374977395, 392896548, 146718099, 186736768, 468567569, 401666574, 111757255, 459535900, 487994607, 476743497, 291960180, 364714357, 427838651, 306100536, 264234229, 277027809, 109991793, 24999140, 198276714, 329397774, 214980700, 27148186, 46284664, 488268441, 175144472, 471060328, 495042905, 92372004, 227400551}

    {606393692, 545159895, 853852655, 855119911, 714674835, 971659713, 922180993, 623393005, 521115810, 985820070, 613968421, 787589866, 696140638, 518879782, 796096449, 753435501, 864492011, 737219179, 862098380, 677494151, 843817996, 999495294, 881882606, 880205740, 518389263, 707593948, 830931798, 895924882, 828394361, 862027996, 609636187, 917057821, 612199268, 976808901, 932165169, 803111940, 668512288, 657907885, 937684477, 715502761, 664707187, 523657243, 937114823, 930854932, 855316033, 800055911, 849913981, 955565316, 858801017, 523427858, 978421462, 874462668, 744286828, 598333322, 656175471, 689250340, 934110424, 758896420, 718561024, 672620937, 932395297, 514854553, 941709441, 517041513, 609141842, 835080833, 764010407, 758615824, 552414343, 790556498, 686298470, 921703082, 527879049, 738561225, 718158384, 821275197, 636552412, 524897034, 920035395, 899093962, 522410529, 652527431, 613671541, 939450172, 885950158, 633505904, 594300737, 525001366, 892601483, 929897173, 893088374, 880356881, 695320072, 930913116, 841928379, 902861111, 883341914, 850148330, 585369459, 864747655, 769107525, 801140303, 954566399, 695795929, 831783200, 574915426, 578425458, 610500992, 982516807, 626998425, 845441497, 813911986, 525107132, 893331923, 958350598, 828031016, 618192259, 537044223, 829690527, 762335707, 505375971, 510257829, 818098542, 529897402, 535026376, 854945905, 819837884, 935493465, 625188113, 505982295, 944413692, 568486799, 609956324, 773691174, 619572195, 944483688, 608738265, 866172755, 528029292, 720735820, 513971383, 867938279, 831012289, 978797550, 896822931, 606725369, 586337036, 682826082, 672107378, 620793465, 883447212, 914604176, 710106752, 606928294, 903796987, 920663620, 506866499, 587851621, 788194326, 920837372, 576534302, 687910309, 704675256, 645541005, 909549483, 689836474, 664296277, 606576943, 919433903, 740208759, 693581210, 887873530, 602871968, 562997507, 817962958, 996671103, 957648233, 823338671, 931922918, 526793980, 980135445, 511539345, 689477164, 759905270, 793271012, 894907333, 661896021, 525280098, 715058347, 615292096, 995170343, 597471580, 617358379, 574090553, 907509642, 807592673, 847752154, 568753329, 632353325, 731575998}

    {505450714, 830292268, 635975171, 775622576, 697180623, 799855432, 962769351, 661933919, 938021983, 829480762, 856292971, 819322813, 903003995, 629750820, 931619046, 599843058, 737517006, 592416929, 546885875, 950116429, 631436768, 975717721, 518726314, 519393681, 694719553, 815356022, 622754921, 853543983, 976797851, 800078963, 704452630, 929900747, 631799375, 676458704, 577551733, 726314972, 780454123, 629825433, 500051608, 782561286, 804978357, 573332994, 692728937, 622362458, 726093096, 905462843, 587349497, 650275862, 965794504, 758424768, 742327474, 598625164, 923107677, 823062270, 500591700, 546897674, 664397158, 855103384, 693361119, 623179654, 701476922, 637115322, 668208771, 848187555, 793243630, 892349689, 769808484, 510965259, 835626529, 804140436, 808560772, 934420197, 735951139, 797213190, 772946183, 697436510, 596133663, 753726594, 882171662, 641526466, 608651065, 663533519, 672907633, 827861210, 700802575, 546720647, 874477324, 759946680, 896646680, 780594995, 584546565, 567849724, 887907493, 818877137, 567031232, 586585243, 512638760, 833197553, 561331992, 536838816, 918633133, 659804754, 811702330, 641137213, 660427082, 705590233, 735944637, 776595312, 619404634, 935166167, 529607652, 694094399, 662193415, 748008450, 539817750, 886272014, 822264375, 716600380, 994632032, 889497317, 841954023, 804245630, 732034229, 539230833, 678706751, 506493190, 937966406, 595431297, 680163069, 645603585, 990787285, 828336762, 503178628, 722133790, 603291789, 800704670, 804272693, 897652742, 962434989, 787214585, 933212492, 786179659, 553586737, 815632687, 733851225, 624763571, 604011179, 974013634, 700171439, 626421948, 506866127, 881355562, 682399551, 931041390, 658929084, 688389468, 850104763, 900021443, 698946938, 969321573, 781720236, 525000578, 632998754, 797836385, 607113402, 667798599, 527236863, 871833613, 743880026, 599902045, 924435292, 583596560, 604432147, 662568721, 823970908, 587887466, 740578495, 854896958, 719864206, 964033719, 520846935, 511732929, 915398476, 775260879, 663150286, 914804303, 726901521, 840521920, 620934095, 642978372, 771621506, 798191385, 897433790, 536447550, 771277446, 969420481, 901510787, 520735553, 812447313, 543207209}

    42

    Returns: 134713079715512461

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    183

    Returns: 1123963014310160

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    {240553490, 32094077, 139234043, 138569514, 81325909, 186198826, 149543524, 304678944, 312757554, 54168217, 330516739, 124569411, 334591258, 256876340, 199983011, 318129537, 90515400, 140503436, 443955240, 105071392, 275192826, 334286901, 48195493, 195762081, 224745597, 31614475, 128508714, 450843613, 246321853, 34084314, 225529071, 148308731, 77695694, 295681735, 458411263, 323255050, 77078380, 254123867, 306163135, 164170375, 239568564, 175192789, 297653552, 169725422, 97861189, 369492283, 266466038, 162920341, 33411629, 306494998, 133324684, 39033385, 230748956, 213553559, 379780273, 241541521, 461881575, 284382248, 45586524, 146390967, 149432057, 173409099, 159859151, 238467390, 345573532, 362512006, 257121337, 73266223, 387756987, 196294349, 115787666, 312909531, 150442514, 371455756, 9357514, 11785183, 11343075, 336258559, 179328256, 151742047, 390639198, 254209987, 327864092, 211240954, 5435635, 21940363, 3206096, 473585011, 306438834, 52508976, 469566724, 78519965, 54546534, 453664280, 347376727, 274387538, 446707852, 103014055, 307785158, 462112450, 102236404, 86101935, 388579757, 8027411, 216325266, 373017455, 210380322, 40993275, 119178678, 396611391, 167014374, 160938478, 305443772, 19468746, 272506731, 396285314, 331168562, 105917552, 419688291, 86645205, 425732296, 292944410, 198766543, 409252943, 461375509, 155781762, 153644462, 473934950, 215845172, 242351206, 207901918, 145960241, 471084017, 374535286, 210823138, 267397266, 486321231, 487847139, 165724356, 174402027, 410762794, 43623872, 92760965, 340229799, 484597237, 360616557, 40041758, 169751068, 116350405, 83452578, 193991164, 404543781, 321679856, 212598749, 304553827, 352698573, 307238987, 39415885, 311519364, 453436850, 418341493, 352493080, 63121268, 439327557, 221105384, 434211265, 202976154, 69477676, 493853445, 317114875, 253092272, 232583952, 198642122, 195378145, 256615824, 498753468, 169219724, 191645133, 82241875, 200839895, 23662654, 7994731, 138207786, 197518030, 151183803, 58881681, 281076217, 189867745, 299288248, 86378899, 240222628, 159757984, 467414629, 234158955, 214552484, 55286311, 9995972, 38028282, 495814567, 116723938}

    {930960109, 807282969, 944395016, 719193362, 736582459, 973340319, 613042622, 889376285, 530125372, 856580679, 893245366, 614784821, 652840316, 743018859, 775326745, 569967313, 924856595, 862431700, 869240023, 830355636, 962199823, 813556056, 502257144, 942235751, 987351609, 595548463, 681455589, 827414910, 960347628, 632539188, 808755384, 828575224, 958859433, 628482300, 556182660, 903324507, 583766320, 553266576, 732741246, 576746719, 689558919, 544271309, 767571025, 929240117, 950361679, 706252676, 889221048, 969824962, 649427465, 566548305, 680891411, 955483362, 691124961, 608267343, 801876470, 987675614, 896264228, 980493909, 909661931, 638133445, 702555900, 636929257, 572834651, 961135064, 705675850, 688295209, 831721989, 637956050, 693951547, 792712287, 968965316, 555351495, 666856631, 538765287, 639499452, 848013705, 908505813, 568455516, 772498838, 534245054, 645720761, 531151086, 625502036, 847811909, 601941917, 676085923, 813826769, 971241343, 938997196, 946411118, 521676686, 869420449, 973073077, 669413172, 602638428, 531698481, 976027079, 792740023, 597455916, 514680429, 628702051, 955187961, 693650726, 801630269, 890285763, 582823071, 859481524, 835729115, 971215000, 676473599, 738137591, 850333052, 849995485, 671227854, 707979977, 732300828, 813074112, 540670107, 529199401, 595559798, 659678828, 601937277, 587244117, 536132859, 669309919, 594979444, 983371425, 574756121, 762009736, 811907688, 918193157, 657227959, 706459502, 636833890, 780921612, 549872261, 560234673, 506681526, 730664586, 506832042, 894029287, 614533440, 766942956, 738500292, 655067871, 646325606, 684452188, 624126446, 563343874, 643786072, 909203137, 790307993, 877083934, 964237040, 815875948, 817293550, 622502683, 716470406, 937332770, 909617800, 788740061, 777221047, 647126892, 791503550, 974591586, 947333973, 930596561, 731237108, 900263021, 628929488, 694130947, 713866444, 946606401, 769418911, 893874656, 905614395, 600010196, 698126540, 771026694, 575824417, 637390094, 769633849, 742517554, 851255820, 942236434, 827553265, 833668543, 796046635, 709037347, 879847870, 965639816, 643007198, 567071232, 881934020, 747006049, 755582067, 990318934, 891199400, 614946479, 963477906}

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    73

    Returns: 74388864592660428

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    {891255389, 840509761, 501389369, 881484480, 650097192, 591172193, 648495927, 715366765, 532883028, 936981831, 625801907, 643800831, 681721644, 609786025, 954145778, 893633203, 830255614, 659740225, 698997024, 503484516, 587060819, 726405803, 820817789, 764271565, 920567784, 847231220, 705460027, 737090225, 719016081, 742966613, 594852655, 571956178, 836750613, 981685257, 823200374, 678007970, 536243179, 737663658, 971976210, 543117259, 509161363, 623433606, 560484946, 585509554, 833065124, 847468225, 578795502, 655655053, 981426182, 987448827, 700950303, 647685182, 848393701, 697874899, 889932097, 951961566, 690081422, 666645579, 893001106, 874315322, 805237685, 505049452, 959746843, 852923111, 759981582, 729859773, 609887548, 987270497, 980163990, 528063586, 528077553, 800902552, 781813706, 825467576, 980573489, 771668084, 956145649, 524261975, 861340810, 524819134, 821946061, 760275555, 891471036, 853799499, 841934569, 930726959, 526948035, 640203496, 967429985, 882854352, 631822695, 529152622, 644115011, 564281928, 988549396, 645994664, 787907530, 867717324, 651946990, 796709788, 991401579, 612009618, 516708208, 782483584, 616503942, 736533463, 585289913, 943339835, 885776483, 532142058, 571434677, 895915635, 963727178, 965010028, 730583716, 806763768, 698792353, 827963550, 617176621, 994224111, 509163686, 988704474, 659083085, 815222853, 895775959, 858405781, 621283129, 744124906, 556088655, 590298367, 796450571, 834942668, 897274512, 911829228, 968167278, 914817209, 570316245, 981425821, 856800185, 577551306, 532492310, 577814265, 505822642, 598876372, 733885031, 748596524, 951278894, 796911198, 786925262, 974818477, 986073478, 583637465, 841358944, 780560516, 636731580, 947653065, 531215385, 556644076, 844470927, 718050202, 895480269, 893725611, 678129169, 919002624, 758327236, 621066388, 959753154, 577100642, 766346135, 633048909, 942437528, 705255681, 525524180, 780599529, 810136140, 985260388, 582044493, 731754286, 809134166, 919582671, 947457344, 965088894, 565835742, 867467335, 544801532, 748420862, 657357137, 670019139, 982956837, 977000363, 798623735, 559955956, 830334349, 952286671, 880748937, 974426700, 678612468, 536243800, 648120551, 517056720}

    24

    Returns: 202314321586855980

52. {434868049, 262095357, 340330338, 80780107, 260519217, 174465105, 411779501, 203902760, 298405294, 496415223, 375022646, 387891833, 380931507, 476312588, 378895505, 106037082, 391948613, 38841312, 186072862, 372974954, 460862400, 27813975, 418103033, 25561532, 303873479, 50798981, 398530061, 166880428, 247447588, 496783928, 37688294, 282428231, 218951093, 227232248, 60744864, 401173028, 479745843, 170642974, 292146255, 335896596, 211102150, 245287631, 367087228, 52105284, 70159013, 234771644, 369011226, 360410112, 496879814, 114452021, 323678976, 233611433, 389434421, 457844278, 341921668, 330568709, 178351718, 374170412, 400763662, 355713383, 402173701, 56811272, 81048563, 147394635, 339410295, 115917645, 159677036, 225888295, 154534295, 144426441, 210860835, 97811252, 371611742, 438468379, 213862216, 225948803, 277241083, 499743799, 473199036, 22575287, 248655246, 246780617, 437952220, 492981118, 150825580, 40085119, 7846810, 458458186, 327872885, 228098534, 53168664, 141391541, 399448991, 171736452, 246675456, 30579259, 376284765, 450343611, 132767080, 186064618, 327774238, 172919077, 280386416, 164554352, 77681746, 335531748, 293653378, 255952137, 114048722, 280817127, 244287209, 210225144, 196305745, 361663913, 490660403, 219745286, 134204739, 455282358, 470154425, 268041770, 359290738, 20958884, 334234360, 124696876, 116002386, 147511435, 104752094, 103142072, 53603825, 100121051, 100007834, 387016175, 58280922, 313347077, 12103316, 342940205, 256641169, 5392929, 255067395, 320232956, 121727279, 418248263, 280148743, 378402504, 454876218, 155564452, 246342875, 187666144, 383904206, 48824102, 90656588, 468913206, 96617258, 73655288, 37417529, 100731919, 143843584, 318513806, 121672995, 251620080, 327227921, 154660837, 172102578, 331426576, 359023762, 71257889, 343323305, 67930641, 473274622, 437017109, 270161307, 468181428, 464852370, 54182585, 42378973, 366677456, 326111927, 385728035, 87939049, 116357693, 8324074, 310723670, 378693330, 51642858, 483782970, 428141871, 308552274, 41859572, 164213261, 151690767, 337674586, 270984027, 433628105, 422897983, 414190461, 351904523, 203475717, 439795186, 145788137, 27582985}

    {35756309, 178112844, 113246143, 487745756, 381865480, 91841166, 365550776, 243098192, 253805511, 88612892, 84839236, 375113457, 409467321, 144010567, 37233355, 105357343, 488993250, 480900466, 181573766, 343650459, 437457726, 271855827, 328308812, 139657917, 324010193, 72098662, 73360822, 72408294, 444486947, 244310780, 114291240, 380239812, 469511762, 31834760, 71174515, 228409954, 408252374, 146687620, 195804819, 182653990, 43080990, 288165068, 292746029, 341640115, 219855241, 257057905, 299143614, 478512247, 16025932, 150519856, 325387990, 104987985, 50686539, 461459258, 256520005, 29930687, 66015237, 392071821, 472354606, 55639351, 226381197, 210312144, 338244583, 277772349, 181264628, 228860197, 435238304, 335227651, 442455932, 347835263, 281774928, 426694044, 272559297, 488854335, 227653412, 273490393, 314178764, 383876506, 240399250, 157279220, 330717257, 22739829, 460542575, 465963655, 267657804, 173579730, 76219680, 158785556, 14927959, 228373047, 488770599, 266553535, 283599746, 16915305, 437123261, 207227936, 173414915, 352519843, 302102058, 362535584, 214916481, 326430995, 266881399, 361618547, 171958900, 300574664, 107106623, 298366833, 407572643, 196178324, 33637901, 341538581, 32213702, 467471400, 10047061, 254015380, 350760790, 329386587, 396020068, 448704505, 284617860, 485868102, 227007073, 14693507, 185013884, 120027253, 53758159, 331809940, 11033195, 295905282, 499610633, 332956683, 241297975, 371355193, 382214788, 181931837, 354821943, 360696243, 434869685, 83215422, 274562543, 164354675, 149673537, 407977298, 122926532, 3172278, 16443729, 102047509, 72953687, 466067892, 146689018, 28802, 269019335, 453687762, 463283404, 360514391, 322161384, 250671725, 349189607, 291101321, 46780186, 329086522, 196723548, 297952586, 324383887, 261653897, 385610262, 438424649, 473648170, 188957756, 316655121, 175745854, 161431167, 47376781, 274652966, 111094250, 139067309, 143770543, 455876242, 176759236, 171315136, 250165810, 351934157, 256613774, 478673627, 262763752, 322031859, 412104441, 361850627, 491268936, 197297705, 79084995, 244308933, 213546772, 253921159, 395953788, 416703521, 66773083, 258946807, 127300686}

    {888462667, 964550753, 630474637, 737484678, 944087136, 550274198, 918509325, 829568043, 983695453, 836125614, 748844296, 933537422, 706272075, 536963087, 722876670, 535581365, 555519839, 721924470, 822154983, 787810144, 996244387, 669823174, 912056731, 758139374, 866391479, 933330482, 790555306, 674613837, 687641222, 865279657, 967248570, 596830578, 911841571, 912350803, 973911483, 573479245, 829213603, 722276529, 947181113, 567447645, 908793796, 790578894, 551051190, 509991680, 949191516, 665536916, 600947503, 551567414, 666340388, 968993745, 554332716, 799296517, 530952254, 944463427, 910514788, 967634121, 932292304, 601408687, 892425922, 595828695, 875021341, 724892238, 573504729, 841591684, 769123521, 509134000, 618902354, 846534739, 530252529, 950862061, 606315743, 923309360, 565245141, 545307564, 576834112, 914290813, 698513270, 810864974, 962704941, 754441344, 864422730, 778024248, 999202830, 511221206, 539624521, 673012308, 553332012, 685349945, 870719463, 677993447, 592122765, 931402556, 727669889, 897378996, 750241311, 653653747, 833991975, 569578364, 979958026, 971204483, 639626487, 773325458, 949246189, 904488888, 791418403, 918698914, 732366999, 961693082, 948292119, 690570217, 990514516, 826431177, 915749189, 522918419, 876645168, 757951913, 997201652, 905112427, 761035738, 922649623, 540931071, 705110911, 544661988, 751762971, 665278258, 567672852, 751381728, 668856182, 841731534, 879322822, 535523047, 737623161, 558472343, 546894524, 928817727, 743741447, 658002409, 781183201, 883073139, 536204217, 868804167, 507839036, 927433533, 818727354, 948346089, 747475977, 669709484, 978373712, 535485997, 993338422, 789958826, 752468902, 980750610, 526367658, 972797067, 943355617, 777464101, 653944383, 570072989, 910457514, 703358192, 756731854, 527241646, 562441008, 660582931, 802758104, 572830492, 967047030, 930432719, 775780638, 827183754, 969727710, 856893563, 939644674, 771422327, 532070173, 983765891, 560797795, 760320276, 597937533, 883641582, 883403297, 720788535, 560972977, 520494204, 651600014, 522738014, 893607695, 699977809, 634614539, 839734083, 761636071, 902042952, 628313885, 753175311, 600574436, 634661924, 657146300, 647409820, 882785954}

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    43

    Returns: 150534749306396196

53. {172848448, 375019161, 115445932, 13167360, 14962400, 32594605, 8624752, 173836501, 403375738, 163940020, 426122628, 357443574, 429693086, 146311898, 383674927, 172490784, 301935078, 89156959, 326107234, 267085770, 33359476, 82726828, 350145263, 412964156, 85247226, 278740698, 195077892, 478144854, 45989574, 336761926, 301825264, 29695153, 175229094, 208484765, 267713657, 23221877, 207878125, 164372274, 436234111, 355427463, 116291225, 269294877, 195494875, 22241391, 283051828, 77958940, 17301293, 91786933, 70545280, 353575024, 229878915, 216645942, 128615348, 246163504, 44369061, 368480269, 362665420, 179680233, 216217732, 144021239, 270085723, 93408435, 204312413, 77949916, 47903792, 318152700, 491447810, 340418591, 176201540, 172440923, 365386457, 251254894, 327070561, 226296685, 23779173, 398082422, 125089884, 149786662, 388823756, 280754625, 4274062, 445474273, 82807755, 6801491, 273704322, 287044578, 263265448, 73245946, 384680834, 167339529, 136685775, 77317959, 346072923, 149771378, 300785810, 457480359, 334446690, 316717822, 302631156, 176814968, 395540571, 136226025, 242614169, 30019622, 139238451, 207138958, 196813856, 253124998, 80859358, 48514157, 261420253, 226007377, 115149908, 30540333, 271876252, 75700698, 482941520, 73543565, 357021463, 474042696, 61612369, 29669483, 112606656, 137897415, 244160892, 264449378, 75304127, 331172458, 200269466, 300051291, 496107596, 446443220, 7327641, 35859533, 364046028, 335838739, 208831297, 29901202, 469210377, 96414450, 64003929, 195341126, 221624018, 182689682, 142123285, 66834542, 164540163, 11611053, 359803107, 348296181, 153630706, 499024920, 102089999, 100893452, 379591758, 42305500, 329782543, 428944583, 467672628, 339798819, 238849862, 159057219, 35523022, 234562842, 159117482, 410339212, 323067239, 373039932, 66035746, 272292286, 377697210, 462197686, 250482455, 234482793, 371606576, 73176874, 403220826, 100531286, 107833056, 71496770, 436996251, 10557172, 459424734, 203373856, 406370515, 14917821, 92056132, 231404620, 253446928, 345589625, 194743633, 101838937, 207190893, 260844203, 263495793, 44944551, 418723262, 284012107, 148637440, 265349077}

    {392600691, 180310051, 395974075, 450557176, 209397081, 227198114, 345108500, 404632409, 300906975, 337091829, 228651075, 153712879, 153450875, 133984829, 159169411, 27942456, 250375990, 19278260, 403574184, 283161346, 462109527, 232072727, 103528483, 433370863, 464921901, 278910586, 948885, 106974646, 81554798, 274907065, 59324987, 276437966, 455015154, 322402358, 283297958, 347336950, 104486383, 312257358, 332881680, 74623411, 350584572, 283419446, 72818004, 375707863, 302223265, 361398013, 55715066, 77692555, 497151493, 103283733, 256608824, 398261663, 160769969, 453664000, 179128855, 208429556, 250189120, 156857183, 35230574, 349728718, 46370511, 480686172, 17358991, 451505153, 257581579, 27028711, 73508301, 206808305, 366988824, 327334232, 75192131, 418136555, 73658531, 423218667, 302896730, 459716207, 9641618, 15242567, 332246842, 276683994, 76572492, 156936794, 306510600, 415246418, 181682405, 280387220, 88687182, 383180952, 83210362, 184940842, 330202502, 89991584, 135592843, 262323115, 333848586, 371405212, 1170831, 401521730, 424386202, 422057237, 196225023, 448526201, 32354388, 44078470, 34541611, 346335452, 31877189, 49379055, 495840362, 466722222, 175050680, 2804469, 220419957, 302306579, 44326642, 305416241, 58727459, 337774852, 371684601, 381687855, 348868167, 408307498, 484856422, 196482295, 334535125, 122098877, 120096283, 209036132, 174406329, 441513918, 89095602, 431918307, 35758411, 20889624, 78843728, 214341124, 392422354, 27790219, 417744732, 492587076, 273988815, 359027449, 485198456, 98477848, 494522901, 62359106, 384079318, 393813493, 113004795, 395832350, 499044241, 468826349, 10528813, 252054, 256344478, 265489777, 32870317, 498580394, 465545002, 77134866, 340932290, 293653357, 12557587, 444862189, 147733100, 465359734, 478421824, 47230650, 213072438, 190774210, 325199490, 247385348, 87720376, 416938441, 214193795, 7747341, 199649571, 262696511, 171702775, 15302214, 479500555, 178578980, 85122345, 138293510, 127617328, 208774421, 234487896, 175300737, 458787547, 443523168, 109737057, 145500828, 388556551, 35194021, 268842052, 434290872, 323120381, 220503927, 168278425, 278374404}

    {716317061, 995087017, 849596964, 851221744, 910929690, 765726963, 962085264, 584399399, 736291128, 740710269, 663237966, 923362908, 788311823, 955602976, 934193824, 971634529, 784088455, 544084078, 956114298, 797975423, 510712419, 756879391, 514368792, 864279640, 722244427, 903346367, 743400944, 716819043, 963422816, 978963802, 529301233, 997381247, 667766556, 556937882, 760739794, 995738750, 816304558, 695627890, 637617948, 806568603, 815102016, 637647570, 674022111, 807593872, 694301312, 684057661, 989509039, 935675597, 669641725, 697499100, 677694359, 545837412, 949739900, 733809285, 984544720, 554436419, 875279963, 662860934, 531268007, 510364061, 825037819, 721750229, 889429979, 719396319, 964806029, 619460959, 834556860, 631440033, 811818130, 529998824, 867530952, 878338777, 841436431, 530251497, 905669042, 814846897, 705287107, 628942061, 841896255, 580626514, 945480735, 509523808, 740647039, 954626185, 923670983, 891599679, 845063043, 839903129, 732577987, 993416371, 748858580, 664519913, 723628422, 705729288, 886130332, 530342042, 545479432, 698586888, 781243582, 873468331, 712300314, 999142863, 869763509, 540152089, 889499612, 699062389, 842978617, 505259354, 976097401, 795775784, 893670805, 719982747, 746494395, 787123144, 731420176, 594096520, 751005178, 879410170, 684471304, 818663153, 974285666, 751672681, 773808650, 772315617, 926448295, 508320644, 613219454, 977596562, 921272603, 873468168, 859998224, 611626177, 873795252, 715151526, 664939809, 851252719, 901424700, 663608516, 585396256, 959621024, 961683868, 628931215, 919041058, 997619100, 719663320, 826967024, 723324621, 711298672, 950327433, 904517529, 581145516, 775704921, 689897278, 924571742, 616194647, 525742928, 996982325, 694912860, 546289509, 639821868, 877856462, 906392872, 519266341, 779052734, 869397562, 862436201, 826334283, 539034119, 503396205, 625085160, 526914384, 848029832, 530832820, 721197386, 720699790, 964959602, 576663789, 968239116, 954381444, 578950811, 911290510, 884104329, 755988831, 768053076, 641597811, 814148681, 860828320, 594260544, 576181714, 940106106, 745582805, 717967544, 509042819, 520796425, 636006944, 800698902, 590000909, 559690160, 819515883, 688581391}

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    195

    Returns: 162126517173525

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    {243604670, 385858286, 70362347, 104890794, 181615634, 257103463, 445101740, 318231422, 131135978, 42869478, 149114852, 165281256, 29661313, 203850570, 128023054, 180191398, 265737098, 278094686, 239835866, 16315960, 111132657, 119528852, 494651043, 487776272, 381491282, 485652107, 272987118, 291687867, 403591565, 353343084, 379965826, 119002683, 330260291, 10333396, 169432156, 287356287, 274015428, 135590811, 78064953, 497971694, 403023236, 168991164, 433902553, 479486045, 440738256, 285652041, 127571924, 326376417, 309990496, 305332939, 302629374, 295917537, 113644527, 215041878, 23479732, 332950496, 18472921, 386316836, 449686996, 55141135, 412413824, 284395014, 164271620, 102426002, 433862440, 394481543, 133640851, 271714584, 116684926, 256043671, 292070731, 478916521, 433480460, 208480987, 382278929, 331161180, 307672760, 328595465, 383232714, 298272814, 188268964, 439515667, 125331046, 436639693, 71531080, 89606351, 298848743, 469046851, 321109347, 379733616, 70199736, 353896733, 33122968, 228742503, 70127825, 470193137, 293241791, 303815135, 98287600, 45527688, 338019921, 409619630, 210734818, 228231280, 431339114, 144350814, 109553253, 394220317, 272943820, 289844998, 246876680, 50641991, 470032993, 456899092, 454618645, 412203050, 445022055, 421083952, 199236962, 147937783, 52158697, 278327174, 243797841, 414676523, 83211431, 83471361, 270487, 255713548, 472588129, 1981627, 271190299, 131128245, 91824133, 117931928, 205664395, 114796404, 117592813, 382483474, 130897310, 306500312, 95774616, 316857642, 456404175, 152575110, 144645683, 344152379, 250075059, 211864691, 232436436, 320722519, 299836192, 194353375, 447693056, 437407176, 307048523, 116283342, 419016769, 243965830, 164096232, 180962098, 112832928, 361754541, 203045804, 200378661, 154041631, 181854130, 61394569, 108471619, 299905808, 153400619, 382087473, 291502714, 255270445, 307454469, 215846048, 476659160, 268689275, 405528323, 307544122, 498516438, 195096717, 481624716, 288816227, 54270604, 45500461, 124698711, 274733638, 288469930, 485222894, 268073476, 46107388, 303570097, 29856066, 25717370, 96553783, 70122802, 365571350, 8129513, 316361699, 444984028}

    {824205237, 655189880, 878081960, 829281614, 742215425, 812856809, 595705402, 813804299, 552636188, 570775625, 683519637, 929903495, 857686176, 795282940, 635382641, 894370806, 818840571, 587921345, 628718970, 594282542, 748064958, 654548498, 954291964, 952008825, 774524813, 602469696, 621686000, 784932598, 951512877, 661483052, 586423473, 800877387, 623198645, 716570596, 544289999, 665737336, 694288441, 681504273, 670129535, 594518275, 608075307, 843590032, 826521808, 675827837, 573251879, 894657959, 732192861, 888576716, 642757971, 735237875, 665455632, 598129101, 732662822, 515773854, 815202144, 699444124, 510736692, 927699765, 902130405, 759436244, 518582006, 789195069, 639374390, 932517295, 743533891, 820428970, 775354527, 869618281, 605046360, 719396444, 647078764, 772281758, 996218506, 761182288, 610720724, 583759164, 664019137, 800470514, 891717338, 612239939, 629109701, 536712269, 951167480, 670428590, 881560330, 961764855, 762907252, 937564918, 824034690, 900770587, 855473854, 629706504, 750112143, 618781193, 844905970, 666915769, 658012478, 579140760, 635640325, 620502905, 761697047, 827154681, 996497497, 693739001, 584189750, 695529639, 935695547, 800136929, 582247615, 512139147, 896661290, 642026616, 574790930, 525903885, 585028716, 599924351, 763225259, 613702055, 821628466, 751571413, 580823092, 906493792, 756226620, 572498722, 994760011, 961554526, 697065437, 737198649, 508359689, 632417367, 602770727, 805879119, 873974856, 924440960, 919376523, 657409274, 911530803, 889928206, 636890119, 659710808, 601865978, 916855393, 646315885, 700880911, 962348241, 900865907, 995878045, 786084020, 719628457, 665944236, 861879977, 724381651, 846263286, 829463738, 956914076, 724589872, 969581025, 580690123, 611223222, 545622196, 861804051, 910167746, 521186714, 977564002, 932230665, 740251475, 859646696, 551077278, 546951519, 681322954, 721862075, 679283267, 711271125, 782400960, 637169291, 641268555, 547996493, 842333252, 528590721, 982119678, 565521772, 518630665, 514743131, 796839119, 845181378, 945173508, 553215020, 536819981, 802575228, 831491476, 506584078, 932864051, 617145985, 877338268, 978088493, 830436824, 934372140, 639178597, 843953934, 849460234}

    {746650669, 880991826, 863100630, 503214338, 763464701, 960507861, 939320107, 844036301, 864855117, 802241641, 723346321, 549357788, 747070749, 897268192, 813400604, 800613691, 501346777, 961078406, 851293135, 542371130, 995814417, 632372840, 957651181, 591038737, 835934802, 721733835, 743540809, 962877283, 814835818, 575800695, 877867202, 541569238, 539099808, 794260002, 603470176, 844546037, 902213261, 648808656, 505246401, 650777925, 637907132, 946492184, 752024481, 966146320, 589706477, 686211929, 730407273, 572113449, 674675436, 980423554, 944700281, 536631865, 892046448, 521627849, 656210416, 700181258, 928553888, 519724727, 558823708, 815136388, 734753223, 807962191, 508887649, 536333911, 759701443, 593686861, 932034698, 653752124, 600324693, 780594009, 708116374, 592832727, 755157506, 817297293, 727034074, 917085049, 591455919, 957231263, 781766905, 553446240, 921740642, 704735131, 757217733, 589636458, 596736499, 731386376, 942585320, 750787892, 648619328, 954851374, 788184997, 974975673, 815353457, 604921777, 683449303, 888493447, 759536800, 553577184, 636491147, 690654690, 915089654, 524384067, 810675892, 744709538, 559237056, 903984562, 777908540, 836669583, 764656504, 982729894, 871663850, 971841140, 844783912, 654309159, 953454861, 755266369, 623111932, 945605356, 728840100, 754778735, 689034084, 566342801, 819509323, 949110838, 837744279, 675973865, 833150169, 558072589, 706563412, 973317865, 547706353, 804327416, 648574335, 926729253, 934845458, 593628986, 987650910, 725572393, 865509384, 767416207, 668737923, 641433567, 735690642, 967931801, 945180429, 585823370, 587529466, 893716263, 875023155, 751403670, 726120384, 994563413, 579569298, 808627788, 711213099, 943308587, 719186473, 970309248, 516451856, 928181310, 666806224, 630013521, 897938429, 531184977, 644771945, 545407540, 642389740, 527261468, 524379033, 721443218, 564393882, 791477350, 520657623, 906191633, 762318580, 757884710, 817649236, 732377972, 570133241, 963428057, 677729292, 783413178, 973422384, 634929809, 940445413, 905848609, 779918719, 728640771, 851367958, 851597314, 664533527, 758779837, 573823858, 669095164, 867212089, 523884768, 761237287, 545091438, 591222711, 929457067}

    43

    Returns: 126447131391922530

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    {212396345, 275711152, 379033819, 293890148, 359913806, 312665367, 305770923, 5423216, 112571854, 457241343, 464946913, 495590364, 475258027, 488364905, 179972873, 459885805, 382722066, 403332936, 390605947, 230028658, 462947158, 76310966, 5524463, 356409822, 51813152, 367227683, 469446673, 193242585, 343145231, 334369853, 62380956, 37653303, 171202112, 99178860, 397251899, 466950090, 244761979, 204217069, 169975599, 303375686, 377929051, 286746937, 262880464, 312205905, 368018041, 114990624, 146690115, 248185843, 145295329, 463805918, 36156729, 406469085, 200677341, 207008802, 482870704, 153362036, 83058036, 479908623, 4091202, 355536439, 105230688, 297164716, 62464515, 263571454, 1768266, 313972344, 74551540, 414606045, 163896684, 369928659, 325143252, 355156448, 55337615, 204571092, 401087947, 119502966, 321995921, 95884624, 189177038, 343711696, 364960059, 265220432, 305047915, 293029989, 267012709, 384547137, 284289748, 63783890, 128866143, 256849401, 171394092, 174141389, 35198977, 358201097, 276979588, 228936239, 320918519, 23741355, 325295120, 215585496, 419351395, 17818040, 26965664, 130413381, 129763958, 497275443, 489145599, 412154104, 449605150, 22177069, 407481524, 384449805, 405803267, 78345772, 99332563, 301931764, 455512695, 127780578, 288091734, 300035515, 117641975, 354633768, 104543856, 351433958, 113839327, 170501558, 489629244, 366227558, 80010076, 305944985, 405764283, 122360713, 124676006, 212335239, 154681550, 140769560, 446113149, 326028768, 127350914, 96125221, 383295192, 212134351, 300330952, 46226733, 23027996, 339005553, 444249584, 61756627, 451482577, 161112366, 216393649, 279691220, 204364067, 408265153, 41124013, 205479055, 159622714, 303869972, 215812927, 425604075, 62331631, 259408077, 133563918, 494902331, 247274632, 467804212, 436174664, 349256911, 349795378, 116057353, 256522202, 206133029, 300280746, 362862980, 456185916, 91106159, 113014628, 449351075, 439867594, 268967657, 300554180, 350892372, 364714325, 334645250, 242842108, 46245304, 232760088, 303887560, 279715527, 292007681, 78399812, 393416872, 310233512, 463868344, 246332041, 422297695, 402498885, 112780841, 298418172, 426437365}

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    {991159475, 599906425, 812485678, 659298630, 709112004, 631184201, 624931762, 766726957, 777561373, 596112108, 952150495, 665393113, 947311324, 574578558, 739470167, 927070121, 642022785, 897419841, 659772985, 692682454, 861646179, 922734318, 878353689, 850894893, 706856412, 613524960, 926332837, 599774990, 568340710, 944518955, 796045426, 981659367, 501350496, 626703396, 943659630, 744355197, 758407036, 611954836, 773320378, 808927182, 658063054, 908373312, 706049590, 888669817, 795548572, 587698355, 803531462, 953253478, 641674968, 895553492, 738151450, 836002985, 765066379, 690340782, 566958290, 985587289, 619445021, 732722169, 870930499, 878142067, 665456795, 784766391, 854160124, 714076421, 548913328, 619016818, 892674400, 809121639, 850947859, 690475734, 982099513, 856899869, 727283667, 551814548, 954314208, 925101051, 876176725, 838513353, 524332170, 588761582, 802309916, 533718825, 532826464, 560018437, 942039768, 906709625, 873648343, 912951773, 945250568, 869239698, 768567994, 683463135, 775522744, 500617034, 822906200, 934560471, 706896714, 709650844, 856869945, 573239848, 946207465, 906369477, 903374827, 547250772, 617942637, 675359069, 526944139, 560459129, 718965935, 643355461, 761881361, 736855856, 654004120, 775932649, 959493567, 607091221, 915500420, 514593717, 638539851, 609888161, 683774802, 637180917, 971618403, 708674912, 740858086, 772648838, 538138388, 627077480, 805083391, 806788395, 851966609, 748329481, 526319428, 804703188, 744609639, 777590530, 586482270, 912364738, 542939380, 875633407, 904463177, 663060093, 836170489, 705523763, 540404089, 672861799, 870617954, 914932249, 998028099, 939857261, 798378458, 698216516, 647361097, 558556610, 739372807, 618076132, 749724106, 847300360, 829448419, 940485679, 938915711, 592912498, 646364161, 964177315, 808723062, 713272628, 873359377, 829254042, 548273307, 965804306, 932330263, 583715539, 700076844, 731653344, 653396045, 724802748, 595781980, 982890712, 721900850, 557558547, 848913011, 766079640, 763320671, 549984465, 809549382, 662949775, 715886579, 780036397, 695270377, 845574117, 999544197, 554342318, 575382373, 509141633, 837071977, 988049944, 957861087, 837375266, 654162692, 565379767}

    69

    Returns: 65111331356280627

56. {344706200, 437818153, 82398455, 288365562, 103238206, 51671661, 451566171, 349153478, 327430517, 232686235, 356944662, 287723891, 235974989, 443201805, 10237647, 133101505, 450789383, 22197640, 229011978, 161688487, 322183797, 102585733, 338929482, 84780152, 63098976, 75749898, 359629190, 469218024, 236912677, 349753691, 318753767, 415809648, 493018380, 58194063, 299381255, 173904849, 440211934, 71967878, 294433449, 284648709, 409572938, 87572708, 275222953, 310953744, 420237077, 316161472, 459643739, 419379573, 289987654, 136997084, 400196054, 465226303, 36341343, 415300062, 88095029, 116171628, 493771389, 239942608, 469902287, 285162252, 466561520, 54183056, 118773387, 307682578, 358498101, 328815836, 200424895, 233709058, 400475918, 201197317, 208479704, 298623624, 345918561, 78288763, 115193490, 395502401, 372432592, 229179588, 482007250, 43489095, 45416845, 28771186, 381774369, 145582663, 118018750, 27681280, 77471012, 190108870, 453737504, 41069470, 133126036, 436066832, 93365296, 181280394, 327614826, 240969989, 54103177, 439255606, 221009667, 345755903, 143356005, 418017547, 110367139, 253920986, 201205894, 93496705, 371700555, 267283462, 429283371, 155564056, 319175562, 468845995, 458320746, 49657258, 238703648, 388208961, 429895650, 253576927, 166781238, 497949216, 93541779, 127428199, 211329992, 466494912, 122152899, 433524840, 12410152, 110641579, 8044414, 114070511, 169303441, 221946328, 96257004, 390621645, 92771892, 151106608, 41201253, 24843053, 272638195, 408211317, 492665043, 223025283, 476781422, 267118530, 322406080, 7185495, 197981022, 458857007, 161349067, 336082179, 393092408, 420216201, 182973371, 266618144, 169055351, 221796252, 163959403, 170660558, 281344910, 163772892, 126180740, 211817500, 167611115, 185107578, 450270386, 137446317, 142951696, 46495534, 384621599, 140141282, 158815953, 17775268, 74377750, 346730681, 415699348, 398394828, 330115216, 210849897, 470740320, 247790746, 389446629, 326571367, 47477619, 53349886, 244477296, 467288993, 206335950, 316726540, 172551470, 471084169, 24307094, 424227657, 48136065, 16968421, 452607469, 387253175, 411783124, 229533437, 372872828, 424308245}

    {290728445, 424395229, 191955816, 218907660, 253779920, 164446454, 65599883, 245436838, 373627221, 312219747, 369656855, 277874343, 238170663, 281902451, 474894968, 437437723, 486356044, 98521498, 126626341, 113994662, 398013191, 345393950, 354751904, 230510108, 172510194, 33974663, 217617123, 364103862, 398318933, 225572759, 102562726, 429701254, 304980599, 361214825, 233286097, 446703956, 336774273, 382103321, 120314155, 44336721, 369437829, 287383918, 359001868, 35149657, 386782384, 406977454, 277794437, 287100979, 381172840, 496176020, 224096679, 320601299, 70752408, 408512421, 297336140, 463047749, 288983864, 90316001, 169394527, 340598949, 10499910, 415907129, 53782536, 272664906, 274353544, 324096064, 455381589, 15479779, 189707575, 494374283, 326722949, 341129879, 35590427, 51368330, 394843093, 79497039, 116042030, 210340465, 317222826, 295511385, 377134063, 429310191, 455936083, 368074025, 378134127, 146672787, 141664833, 455269687, 402204326, 230866812, 85194511, 85828193, 389056208, 39898778, 445355821, 368588840, 34455113, 214476028, 390477836, 27803284, 180700468, 285105745, 335531927, 351393542, 488493275, 408701427, 169293628, 97000427, 446510852, 27809526, 93596782, 431988300, 33903757, 404229045, 146389440, 1443323, 234546989, 415312449, 56925748, 224259232, 73584896, 328784884, 344511719, 371184881, 280704738, 329171300, 323412508, 96324859, 378720407, 409554847, 246806151, 48888514, 219511749, 204234158, 131658574, 57891871, 83286828, 330087687, 76763863, 140153881, 11938048, 242951112, 243981366, 395200741, 48473843, 426002151, 151965426, 293917583, 484924468, 402303824, 39950995, 283316768, 470276872, 476105574, 104896250, 393671012, 367586584, 120898358, 483318277, 261784603, 45018305, 203404051, 296999410, 67594994, 260813526, 166900485, 302079744, 189798774, 331514904, 40175117, 399903954, 227040909, 174705564, 12681490, 133366961, 328461545, 206873397, 491334069, 96238527, 326751385, 258055313, 162415702, 29261925, 388936075, 145659566, 22707736, 448835642, 407873022, 238598500, 94312056, 43237916, 403283207, 337852403, 23523715, 1887507, 366302263, 81614861, 78045460, 333427306, 176034346}

    {540300583, 738005856, 873667292, 796487398, 929595901, 581697672, 937187135, 664231332, 783673990, 785509450, 705424537, 912286870, 503938580, 749739391, 910243446, 754364044, 808735181, 777876853, 526044008, 675115172, 922637333, 944186227, 965018872, 635607455, 610225189, 815969314, 520493106, 715405143, 684650341, 529741568, 571738845, 743463694, 825775200, 953997119, 741235260, 741554780, 796975171, 646145455, 724611428, 581453838, 931154146, 965721073, 912378343, 642860426, 549941131, 647867636, 976204138, 519083015, 588769839, 729844538, 607873881, 724503703, 731410860, 948845952, 913466104, 545878318, 759033130, 739257551, 758129262, 834410024, 972630558, 828043931, 922649883, 692678287, 837143354, 977087161, 878925098, 979300511, 635687943, 527890599, 826210054, 701294486, 762290833, 660415047, 738773908, 592712318, 740427862, 629350811, 976098292, 932347225, 581238181, 933459960, 805584384, 710180991, 745736307, 812543916, 872980170, 552385019, 862821778, 930202290, 907796677, 847409995, 661308545, 756916337, 751959489, 574385934, 542773429, 675963491, 586421412, 905583101, 682359675, 613973074, 990011850, 503814747, 556070991, 997877923, 502592258, 951165564, 522394836, 648348623, 555553975, 933354875, 511302624, 963828857, 993309110, 661116803, 733807468, 829502267, 650854765, 824256796, 989479410, 555368243, 554903557, 563648453, 539996199, 893700316, 936122867, 968119221, 692536761, 509363030, 803667789, 848989745, 680809437, 697541457, 805379721, 796674815, 508942485, 626851702, 967109047, 502524349, 516910890, 534908954, 891130505, 949946019, 727868840, 587250311, 538728563, 611496895, 915796812, 783490544, 686890784, 935843472, 540517114, 553124213, 697964687, 961304937, 764738371, 539699569, 507890026, 686366260, 755938203, 697679716, 839761815, 583631459, 594516491, 883649582, 800595539, 659414555, 939565694, 520383460, 639811636, 580837643, 828957656, 631337859, 500771533, 929494473, 788801884, 884536650, 992388129, 718869319, 506898044, 896739608, 508962640, 739402357, 581691066, 885085205, 743422406, 769045825, 679348590, 797880693, 673023336, 531352413, 903193485, 899095316, 957027139, 513201653, 597514198, 651237297, 897444329, 529553272}

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    139

    Returns: 10289892600307428

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    {263939955, 414378945, 200441061, 152215496, 324506654, 217830185, 245117949, 393421303, 57592620, 194462121, 361198423, 357075326, 156045011, 488859915, 152608650, 141254179, 327381077, 357545674, 477337116, 309314630, 441199046, 236248639, 327585984, 141842540, 302288202, 495548739, 499735863, 23965552, 26154820, 146940107, 38595539, 201805697, 365356184, 362955971, 164779720, 182527065, 308422334, 311102519, 211583833, 128012217, 348913746, 52802173, 397583203, 408191494, 93043555, 479015715, 99954557, 448523717, 175016573, 116955734, 39209581, 371121868, 491576372, 126435876, 327785409, 405549727, 176008998, 360584106, 183086852, 481685597, 216485894, 171845558, 359711766, 118303773, 454926262, 241269649, 362208929, 205569895, 258136923, 135961169, 242037975, 258552620, 290567718, 287375703, 462573084, 330334947, 381725439, 342103743, 478057205, 47971891, 399503876, 399457134, 5085851, 466223124, 348425291, 300066490, 421823970, 69306605, 14229809, 220567735, 208229943, 395643028, 19474414, 85533305, 467057195, 95416602, 265159017, 494842417, 147920309, 321606149, 244059724, 199008999, 239945672, 422046009, 351393875, 302967937, 21183057, 423355636, 479830928, 367953977, 338631817, 111088613, 205937951, 340843455, 330356050, 366773959, 163592400, 32086096, 480459760, 369988898, 392798515, 308827958, 45044569, 148665144, 374655248, 115195763, 309233241, 20260277, 139075442, 456305179, 120015496, 134693900, 200242475, 457332665, 295984605, 334222692, 293304734, 301718587, 166919585, 24453850, 497141152, 139853826, 65906786, 297208371, 66955812, 491108729, 293954063, 235017907, 274530179, 355263578, 314163439, 169373000, 342734188, 437536256, 301942909, 397432503, 92585473, 79780299, 387246993, 309074906, 384608906, 267953776, 154047221, 160441148, 274039226, 359180177, 290421795, 427138581, 329527209, 249632101, 422170263, 326926771, 35571077, 112634927, 313510240, 166461592, 240275955, 311135958, 88855027, 488704929, 201644393, 181532324, 452431531, 165758206, 290965881, 20981346, 316730621, 3394968, 30141917, 194650505, 387164516, 459687034, 270922310, 376363066, 391849950, 69231597, 108826152, 96992548, 87974866, 180782651}

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    {805838378, 936100687, 736113253, 954700146, 834052401, 580000880, 718571018, 529421799, 890508502, 936741994, 870194281, 514778534, 832587486, 806972384, 697270036, 902576575, 582184359, 721705429, 554526219, 814349666, 616736208, 610421259, 964043611, 939940924, 581146135, 512690448, 923150432, 660944675, 520096495, 719521787, 534853231, 641883466, 717895750, 927368686, 843376815, 796087144, 729376790, 805426958, 634411499, 671814539, 912630111, 577874895, 622961335, 538855259, 687893031, 918483087, 684162479, 721494097, 788613799, 730556399, 817192929, 952789979, 818105703, 782937197, 925699546, 657464422, 810468696, 787116900, 530863203, 851155110, 897347202, 943067559, 737982484, 577024492, 698655116, 921683622, 738057537, 619855519, 937394348, 949385541, 638127397, 997253702, 670470552, 584433156, 718982410, 893374584, 692000306, 571165313, 568744022, 598269015, 810067748, 961910443, 634882182, 939608594, 935551673, 899642490, 853008592, 523971872, 788539667, 782953508, 776918156, 624903140, 851095144, 824911623, 533581909, 585658737, 720003486, 571370215, 725301811, 679250172, 717813596, 797759420, 949415802, 657070806, 734826410, 816560221, 920949956, 887384073, 664305054, 937424043, 908062261, 991237577, 926006910, 824974311, 746620648, 678585246, 949507987, 601429985, 705842413, 764052609, 922799442, 941439219, 978969063, 673005505, 616903101, 603486303, 672905957, 665862719, 901764005, 671100315, 576194954, 523953985, 668345342, 510075241, 668034572, 961030045, 661790785, 943794570, 526578494, 887098498, 872528489, 814762103, 605217739, 501570129, 692744931, 684673988, 522988415, 740160426, 817527459, 790414030, 729181090, 721827541, 729314968, 919894086, 774914844, 901157584, 925449522, 933988766, 788170103, 658069336, 604260634, 599933765, 848496165, 630168767, 620438327, 764043965, 584100799, 613316245, 538824645, 998975855, 823969807, 540735965, 888126214, 672990612, 715402828, 643352207, 634687011, 700726441, 644910585, 594673961, 618415993, 797771648, 768955449, 679835508, 638849827, 691995055, 879546691, 857061926, 934594149, 706733752, 582744428, 664009153, 739750237, 603565830, 918369962, 548731234, 667415907, 932858818, 541287460, 897051327}

    192

    Returns: 668773737086832

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    {279360239, 54257247, 156577593, 157950862, 300599126, 209065082, 197262112, 416510321, 80984944, 174976112, 249234090, 207538526, 174582999, 467185934, 215509797, 463227004, 437334230, 100939246, 334982674, 413465209, 104316496, 199272511, 336885275, 229867740, 305606815, 354205747, 451709124, 443556962, 148641981, 117653152, 163732531, 246995554, 242965795, 271812174, 164245541, 113835299, 103905311, 393249755, 471287467, 168372031, 42716768, 211722091, 459074696, 482340704, 268277600, 464569688, 32549615, 52905524, 263917610, 93451017, 156162517, 14760035, 89958781, 405756511, 358858807, 377004559, 36869839, 377596787, 273189046, 275757670, 48701385, 254246683, 109116696, 82768478, 318843569, 38243397, 231122730, 451437432, 188952082, 345384838, 270927439, 172456990, 261783217, 315751968, 432495337, 121373104, 362591583, 14174813, 265852627, 399350870, 261425463, 224363579, 130076346, 142990154, 82119142, 334872821, 68916572, 67399226, 288521571, 329591371, 107190599, 162760857, 48826463, 104403428, 320090440, 11936677, 208876349, 438498995, 65299201, 328260245, 342629403, 57994342, 91181641, 335987902, 359295357, 424294994, 86699418, 360890010, 388551658, 249106531, 457955534, 199588621, 424508066, 45339545, 70608883, 81209127, 464404402, 130131591, 196062751, 484124766, 158034913, 314446981, 43741057, 128412149, 31000233, 239548868, 465066312, 342860810, 196088533, 176879661, 429287080, 187930340, 213338582, 320671132, 273674617, 301152238, 480180038, 70699899, 410863191, 260975709, 275389599, 71521755, 215582174, 318125095, 320509678, 446256312, 144382010, 248777933, 316639607, 483835842, 446124325, 430721121, 138243460, 408541414, 469714608, 149756691, 264659145, 178964094, 368728012, 236523431, 207278570, 54798477, 455013619, 86719588, 468987573, 157877067, 243973037, 379795930, 202212736, 426150850, 134854168, 1358863, 494653094, 360927693, 357281638, 455265162, 12355232, 3700656, 484893626, 352587798, 105653578, 157210996, 93843530, 367101831, 321881726, 388969833, 225581863, 320384421, 11076342, 374397456, 427290295, 290565546, 166653738, 23260448, 485019977, 313376280, 331569706, 60241703, 157702278, 128643760}

    {571041965, 723471102, 560706888, 602531452, 588264582, 690778412, 605302064, 691172946, 915353330, 708898483, 741123137, 766618626, 991557539, 830264556, 775553240, 808034931, 592076862, 980452379, 621404328, 937481985, 521001932, 612810024, 541600077, 530451849, 782294087, 621350218, 847673817, 817270205, 876525772, 597581999, 608763481, 708382448, 695325652, 908717383, 984642421, 736803966, 754092619, 850910524, 740086633, 945737574, 961764846, 604802913, 990069808, 930094588, 664000253, 576071247, 515971054, 692317746, 583271572, 638137387, 690621963, 699211352, 792123895, 640214923, 530960941, 610382726, 820603418, 922112603, 667963836, 600561769, 777142479, 646056459, 651053442, 578445416, 879695548, 985269634, 690567477, 769107055, 882653656, 823976019, 635139009, 818250353, 617479236, 919909084, 568954941, 835298694, 899319277, 524854219, 584657040, 944204641, 850050674, 532364941, 581594705, 826102658, 921979121, 525345413, 865096622, 748736127, 972518724, 876397134, 799927559, 817581164, 762560926, 815257270, 875162246, 509119926, 762383108, 616342660, 711138619, 636026541, 905833261, 614075734, 929687512, 841968377, 583580723, 718867668, 869866735, 519479685, 599932710, 582658514, 932851679, 834597999, 628345338, 656462500, 895148683, 551791129, 708582504, 724987944, 633970208, 936306125, 757998671, 674882876, 591189569, 575085980, 561748140, 913700251, 895871100, 795791569, 948570509, 581782305, 975208382, 529099532, 963644403, 958209251, 794604520, 819525976, 603204727, 522288967, 636227543, 765980745, 883516260, 773943725, 983920502, 648568105, 726197317, 521764352, 500229464, 701997254, 545147764, 876193460, 651239719, 510271522, 776146913, 521509370, 959377018, 723868341, 972906558, 897498739, 946430123, 556804247, 806826860, 747077344, 732490940, 969272327, 773580500, 537760084, 818440102, 531037675, 629809338, 911580218, 692846834, 884818524, 877810715, 771196804, 982594708, 622504304, 744953033, 840563321, 671024379, 689656512, 817628058, 934491781, 916195090, 844805759, 827746433, 803899144, 651308099, 757104638, 947458889, 832388365, 934277787, 676762403, 664521888, 947072875, 896806418, 783762887, 574913603, 516324559, 799538369, 974349933}

    {571403545, 744874234, 724961693, 748966732, 909057024, 847605658, 823619911, 544978553, 564541456, 720091157, 923378569, 788307096, 522318383, 831865387, 711807685, 605139233, 546430881, 782638848, 739456850, 570577774, 691430830, 941069084, 795623380, 706114049, 778560334, 855247217, 705335799, 843453294, 808715809, 769589666, 895662987, 758070518, 778704225, 521405892, 612219324, 769340186, 681941811, 881609199, 815987109, 772727855, 629450918, 997712462, 806459207, 947365827, 612309923, 860510300, 508407205, 648008232, 691608967, 884206787, 617340028, 554159171, 524255467, 540145479, 789406927, 542235235, 611102798, 730782028, 845301555, 751409516, 860794202, 828117260, 561906185, 682909311, 945065539, 955413723, 731717430, 601863357, 687807454, 756479638, 952096091, 574934835, 949679381, 659228931, 948402164, 873321414, 807861355, 703003968, 827134485, 744660358, 613687989, 803749190, 549566839, 673543084, 689407057, 630030050, 728381865, 524985128, 623783303, 605262041, 799603263, 617587137, 767430525, 737617856, 869627657, 587204752, 530703161, 839100654, 733936494, 924346219, 703825962, 852459428, 931606597, 660511753, 883073571, 570657963, 536752393, 753245712, 797235666, 932726863, 896262600, 558777293, 794021536, 501813772, 982332494, 889071568, 793288317, 932889592, 820010749, 885085152, 879929635, 787855010, 722892737, 970736600, 511065209, 706966486, 769517916, 854189816, 839586255, 734870065, 517389910, 818118845, 835814868, 583973946, 853501127, 746403684, 867303758, 785276990, 658433459, 759979603, 892095112, 938272470, 575861339, 827830636, 836889240, 613299558, 987884283, 963740092, 978132225, 861136356, 619181395, 909947523, 891690204, 688247616, 722642447, 608332827, 793966058, 839073800, 814931976, 930105672, 824822156, 522809341, 755218320, 832724374, 942814164, 627339081, 579028711, 662436529, 860796091, 695947146, 573659271, 824351763, 706074030, 587925771, 856041215, 635415033, 699909024, 659373423, 922344737, 564978024, 707419894, 608634815, 622803310, 967658129, 832430726, 842152069, 601784609, 735735620, 994229538, 984658374, 513139251, 793719982, 579579413, 688835348, 853129177, 625881321, 766779087, 821602875, 728134175, 654015118}

    159

    Returns: 6081499686862656

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    {352041633, 456829723, 7933164, 253867439, 495946339, 499627796, 429930732, 364543248, 465722617, 453443432, 396140043, 285497306, 159716293, 439739095, 338169328, 232133997, 271147789, 165387005, 48245544, 23566835, 234286856, 381520123, 171586941, 317912433, 277813240, 290541390, 183157472, 331151501, 106545483, 367018406, 436819441, 70877855, 393754609, 26175438, 10194261, 438948072, 77011866, 478371936, 290567040, 362249742, 396338222, 99414679, 10237272, 205310321, 57443874, 212325580, 217035273, 447906691, 136299314, 349143783, 321462618, 391793886, 65990362, 89901292, 383242033, 6133987, 196222269, 194410885, 92529537, 376537421, 26325376, 233186992, 484445772, 470334919, 202492568, 244557454, 439615728, 310658070, 270703701, 155504231, 78732240, 422418100, 374885468, 441784287, 180232365, 400797067, 317591028, 241868723, 477022095, 227503357, 87915706, 489913041, 494184505, 488742978, 298760199, 22088902, 488675008, 263379257, 159558161, 313309458, 129343829, 311596845, 455291482, 83059313, 14704219, 454042334, 9135296, 239792065, 89954757, 214638711, 372283789, 312102295, 69774494, 252919965, 302351338, 253344754, 250533866, 206717735, 246673531, 219494143, 180882007, 463475320, 399670384, 120754554, 15934074, 267052449, 312791714, 384981121, 97914159, 267791557, 65056297, 445138395, 28903853, 312161852, 28517307, 95762496, 227895064, 241671774, 182479008, 185427312, 164544479, 194740354, 147555439, 470547921, 102428239, 59811095, 376251284, 101308543, 60021199, 153708140, 24061669, 451089806, 241103254, 174336016, 141677263, 97547461, 56664107, 289294526, 357169030, 188631086, 119966323, 385400233, 98101215, 148973082, 169890400, 348784229, 128311823, 414103798, 479285830, 451190777, 207331424, 398404070, 124422470, 116169949, 262246346, 235824183, 448072997, 318222821, 147266864, 240071565, 257319562, 75108850, 373818986, 328810566, 173594005, 497821981, 190042453, 138549337, 328810592, 1495215, 177254563, 424687710, 348300762, 312235538, 459805883, 2315181, 383822387, 52073886, 26586843, 399881559, 329080844, 403958727, 87125249, 207743520, 209662403, 197717552, 282902317, 97652338, 63679368, 37771176}

    {779878202, 643998433, 987403316, 799877100, 791189101, 663312220, 902567822, 951265142, 933240217, 963989051, 927237133, 560965167, 936491599, 812066062, 713990672, 800590585, 556884466, 967533397, 578510008, 747861768, 952949653, 572699938, 665331452, 568899039, 511564915, 657502986, 877378063, 949999136, 835288144, 663134687, 773530569, 666914557, 722485038, 982975975, 646159721, 997600414, 984796952, 861883893, 954340952, 862791764, 884416871, 853222385, 915909803, 764763374, 665853032, 701317444, 684102207, 957349206, 599967900, 820749105, 649274822, 959136307, 620537543, 555028068, 507764320, 936509821, 794462731, 830244194, 899645047, 961246986, 921016576, 682746350, 927037397, 868595293, 771137672, 737003324, 663538501, 521653204, 628707384, 664059019, 898196100, 585914808, 624679567, 835856969, 540104879, 683913110, 512843241, 628561963, 821486294, 771091420, 970583883, 519666002, 610572235, 614954665, 607471125, 681870218, 963067905, 943564176, 575406317, 728981961, 766941564, 741626190, 603337065, 872047134, 793806497, 832141529, 880064751, 572387394, 684505270, 847442571, 606358293, 756655185, 793406723, 705304164, 985926294, 971294342, 623765750, 503905979, 934293557, 517777126, 925337286, 537234813, 661483366, 861952065, 988997805, 570352096, 517658756, 511582592, 969936125, 988760070, 540207796, 504337309, 755497635, 853469384, 519941030, 556111670, 850631840, 539230346, 632372759, 704646973, 604626847, 856525531, 724256582, 811567999, 564968286, 507433420, 606016164, 978854756, 728232979, 512390592, 926899969, 851606896, 621396177, 972902004, 594851143, 924659721, 947382793, 724042643, 591676738, 848418592, 529533949, 702888765, 607073302, 902392908, 515416464, 749410625, 983469427, 537962304, 686890879, 861835251, 874316616, 671092884, 544966623, 578982435, 589203801, 913225658, 539070683, 721488635, 677870462, 705741776, 945653997, 526065968, 678337968, 615626128, 948811621, 962423105, 540931134, 949077242, 753090495, 610644279, 813913049, 848060489, 788583868, 911416697, 536943620, 650467210, 861108990, 820907775, 809338711, 619776112, 544545316, 797321647, 805633385, 531638651, 517190055, 779567209, 729440978, 999101358, 805695161, 561365909}

    {820052002, 912805477, 699715327, 630215292, 854102468, 608332315, 903339049, 789841821, 794872766, 908946465, 658365622, 607250414, 730791550, 511329779, 838688105, 887593804, 731437346, 527274491, 718189752, 519524792, 798660931, 700882765, 614189948, 822234329, 928390600, 930268375, 704310499, 848314094, 908607179, 929822052, 758940720, 783638929, 521542539, 620265721, 639807813, 677523027, 724349659, 785462813, 642966556, 591586278, 873443430, 640458740, 519869216, 774439593, 897621190, 548838562, 736197385, 633280942, 708062075, 883690989, 637341486, 699738347, 640568586, 666973415, 944420542, 943416543, 803654278, 824757476, 830297968, 582867383, 985808080, 662162713, 972669100, 887118378, 653943462, 825115394, 574143548, 526907779, 511127294, 813159259, 510635647, 892525514, 797903792, 770212953, 610682026, 620282666, 522058684, 931705037, 884888930, 890832432, 967341906, 660098703, 877859593, 761423248, 905435797, 773266105, 748423622, 873968931, 867891941, 890781250, 931969152, 858985431, 544640112, 820061905, 969121476, 806848555, 870009492, 995871637, 911353839, 577335664, 885125714, 902343413, 891953256, 859539874, 791318863, 733474159, 815998016, 522339947, 977178378, 625183976, 757242265, 503029635, 723909455, 927127115, 803972613, 799597300, 919089086, 729229417, 853742989, 593255340, 717125270, 767639103, 752574654, 870660756, 896855120, 962593018, 665404763, 552830567, 590167639, 795309893, 672977708, 897869935, 989353977, 974658899, 759816054, 709278557, 731326389, 616292702, 712511867, 727825674, 599654218, 860558518, 630848990, 875971422, 672057033, 522525999, 510288559, 997465551, 593767702, 975222790, 882257896, 964806015, 990400596, 752408998, 729490869, 786252037, 555958139, 632325322, 860049056, 685860483, 992790077, 505279297, 974468273, 551057709, 581521411, 639156639, 898588975, 814214498, 749089499, 511842441, 922053977, 565885875, 664659255, 958088336, 634529618, 519498083, 931889525, 805314164, 965043755, 551805101, 943657391, 810420472, 975676037, 551109288, 711616734, 769853967, 620965962, 675531932, 752507069, 554852530, 968742627, 790616221, 674454681, 741128357, 971463207, 944000759, 569710559, 764201190, 934554815, 980384416}

    50

    Returns: 107406231031717917

60. {323319403, 335651061, 484223673, 177156673, 310632427, 290875112, 499093976, 444497882, 304221834, 89548522, 51995583, 202498752, 317309259, 276380831, 496370900, 318095155, 195034867, 121104997, 210078465, 171918983, 63001050, 451379242, 435986660, 4084101, 409485187, 147149189, 338606672, 498241972, 414000828, 64017954, 471823321, 83960570, 376600519, 31173124, 271738435, 38869223, 405155997, 279795780, 243448280, 339423573, 124649952, 130222759, 472996689, 352485409, 357811757, 495147362, 492384837, 291437132, 153357278, 132185567, 184862299, 334469889, 3462007, 459347017, 444775370, 102023374, 29888260, 19298144, 436136094, 63920162, 269613468, 121803051, 242633280, 29375077, 381870882, 238689544, 119519285, 165878044, 391174357, 68409192, 124994286, 203235460, 38639757, 314150345, 275640709, 170312988, 155401485, 138612163, 239000039, 16348586, 367607481, 153082418, 221642262, 206512201, 325325587, 87037107, 317109940, 268096493, 175513808, 11532284, 207669729, 201035330, 176327323, 443611943, 261585177, 245406222, 485340524, 459075253, 151695491, 417560895, 393150851, 190804287, 349964893, 72406703, 193895644, 485198314, 77643984, 324064652, 81410941, 101060314, 243344897, 279211619, 457516921, 389300114, 488887649, 422730825, 412000478, 85919229, 255588655, 296205915, 413177058, 246199080, 373991501, 380384554, 153752376, 208408261, 87041653, 296457464, 127976267, 172889776, 4925764, 432688452, 303990871, 440698026, 264956702, 260480571, 360991154, 489469444, 135569408, 423697208, 58914479, 474664846, 63376297, 7690247, 350736046, 224715147, 12215772, 78141266, 60737444, 99996526, 101739771, 458223723, 365765276, 413240185, 294070384, 58231913, 265988670, 193928997, 105402010, 336759348, 209872934, 258945908, 373732776, 223560789, 322543314, 322815302, 25983366, 435316668, 221671443, 31572002, 478726677, 193797813, 191164816, 474920806, 377588688, 8328058, 293008528, 431090048, 410655992, 211182563, 124631640, 66441960, 326803173, 58917252, 90048563, 412477285, 108518868, 273128266, 307566285, 472979397, 484553727, 467325063, 487421235, 137311148, 72269425, 36091926, 219421810, 278831022, 126207821, 438536501}

    {397180543, 221724893, 186120490, 183211250, 322167107, 489275350, 283545322, 441304677, 481561437, 491835374, 299815374, 201964374, 121702076, 492613369, 478268070, 373035810, 170398824, 117613897, 34734664, 449874444, 352398011, 134591456, 418178675, 300461940, 8611091, 386584263, 369746246, 392227568, 174901353, 278335291, 263303817, 240944188, 79372558, 291471218, 191732442, 411688923, 241364564, 385837164, 358253787, 476228106, 428318348, 328097724, 352664706, 80540008, 156422836, 335913178, 9964481, 12331145, 258518482, 307386493, 241848826, 204448414, 56959444, 35366713, 450541009, 271025618, 361286300, 283022964, 355085871, 285112708, 66519497, 425063096, 481057665, 48418147, 434841353, 244498191, 62104665, 401241899, 282478260, 222605506, 449276790, 229454813, 253374702, 455367291, 135337748, 323308454, 485153453, 193006900, 46397858, 391489787, 18462171, 135769512, 46290547, 288769902, 222008187, 230200097, 489396366, 408861572, 126535186, 323228568, 392322825, 360593002, 203998724, 94736099, 492443578, 168963501, 261058660, 154051320, 183243730, 431812017, 251480714, 338584938, 162701923, 83883292, 302376629, 273772325, 192951581, 144402212, 227760933, 459768905, 135841886, 491633034, 263940431, 130839507, 492658783, 276445022, 198308278, 117243311, 334069895, 391445943, 81445210, 17624679, 347969415, 278558020, 450346296, 93045076, 86295347, 13251106, 333910592, 428822414, 427315714, 470709146, 223063510, 426036998, 269665063, 466299432, 17040591, 38268169, 12727971, 145205275, 66869214, 496201334, 160587760, 149863502, 264129715, 393866133, 246966949, 414775413, 83598427, 357352087, 53101772, 93612236, 5015096, 76881997, 438775176, 73268530, 335488139, 359781320, 255885341, 388054499, 421031531, 285272660, 326735828, 216237435, 286644426, 340155055, 120772039, 58536328, 487042184, 453648249, 54415213, 220903695, 60249427, 326186127, 67211469, 476382360, 57988526, 5540959, 403912547, 422147394, 451503111, 348850011, 6249192, 335035689, 498867980, 122908562, 159084706, 275658480, 395608292, 437755547, 30297210, 247977545, 233459305, 107129407, 360506668, 355408783, 396533015, 270681920, 484806726, 73145868}

    {931268038, 511077222, 641932736, 977246808, 885054301, 569740881, 750698994, 543708105, 852102090, 971445900, 993417696, 849535580, 751166072, 726958909, 869648286, 836768603, 854543516, 797245836, 817678627, 798268721, 608365048, 766521805, 927126490, 642357611, 818496066, 928831033, 797663161, 804925133, 832946419, 803860884, 731942552, 855022572, 881403733, 523306375, 934714490, 806530835, 529802366, 633676045, 753537764, 782043730, 655258821, 635737565, 682564834, 630258127, 622345379, 501714258, 700777760, 613115229, 752216429, 539528948, 647058275, 771340166, 506139610, 998508267, 686890816, 759193670, 967252804, 796159348, 969652636, 959795294, 547937057, 710829762, 932848364, 531366155, 506770633, 618890853, 704931597, 698096376, 929935961, 894691856, 751470307, 663090207, 566564865, 822976630, 851535312, 968075388, 991647794, 980734037, 724391748, 735363014, 826291134, 920302574, 926312357, 604103807, 635388929, 742249621, 583610882, 718864958, 917362917, 794878748, 939392807, 807914575, 536561232, 869718062, 586769180, 677341820, 823236448, 662738569, 868806397, 543136993, 756664681, 666280816, 856799363, 521198114, 514800376, 997590114, 659107713, 546044392, 982916949, 853617688, 773736281, 842346954, 971813437, 758207157, 849031510, 983909676, 544788693, 963649335, 535233721, 755656774, 878342623, 757269936, 850392965, 903521203, 632812812, 724280554, 648538237, 504200152, 738179894, 799217900, 968499798, 534740844, 613398485, 606992375, 890035735, 895502093, 636486859, 782081142, 541098955, 663850614, 759891857, 848369810, 789767987, 823317398, 733188757, 925104662, 973198560, 851693625, 847977655, 584137024, 721152731, 613715328, 886845241, 836579363, 900746469, 987218424, 543521102, 507850596, 832057848, 707438035, 864437482, 895301502, 548559422, 779665416, 555753430, 872049987, 695323388, 946521057, 606302877, 786823708, 903230730, 880170490, 983189218, 998863803, 867394604, 690979045, 906230116, 631385055, 591436697, 748549928, 775428006, 968687900, 827284017, 903364001, 806289410, 500045148, 761046792, 970711995, 534465795, 806809502, 680678239, 729089067, 725929019, 698857215, 871732308, 556817774, 604711361, 893982295, 862790451, 809993900}

    {756485365, 767137989, 821335438, 839123195, 590338451, 561912931, 981265835, 516036781, 880744562, 689937966, 927353809, 705986704, 702826561, 620482543, 823871750, 519814198, 973964832, 936052350, 633330691, 554675182, 780334112, 578289205, 650397070, 767790876, 717997357, 872055747, 986595202, 545572823, 708849423, 500734362, 709465784, 540175129, 742542425, 639905716, 952718952, 882956583, 672087639, 961286448, 596543651, 577609404, 850382671, 988867463, 509316750, 913516354, 721552638, 731528529, 852392042, 733495390, 645106360, 991046003, 654450984, 584455600, 744009215, 541872327, 726003659, 663799805, 783611936, 506143250, 866192056, 622704548, 963591121, 646365523, 937533493, 885396195, 619405431, 638799936, 532652157, 969976195, 778907251, 949514261, 855891871, 909557585, 613869125, 653415227, 709745009, 538645881, 692451859, 699943765, 616152865, 894568326, 644024274, 565347977, 889137953, 847534484, 903333586, 748870918, 511593771, 717262263, 789479656, 932382125, 666026945, 675600445, 962759649, 907888874, 581503248, 515983877, 816404282, 560845587, 974640472, 960528884, 623540747, 915959512, 583311507, 607324899, 607154887, 794083519, 813080864, 998902482, 684005691, 701377758, 844796321, 561652420, 580793270, 725712715, 696764847, 906975983, 732614408, 971188534, 509139424, 641571616, 533983176, 725533546, 652195955, 960162673, 752337215, 598977589, 793393381, 925730209, 506106108, 774234328, 669033406, 508823044, 913414135, 536938431, 564470002, 946322835, 860840744, 650881470, 931079567, 565801381, 887406475, 852299601, 918728625, 650885307, 594759818, 718623496, 502286572, 587655053, 836191940, 581177201, 770088421, 545026280, 655919762, 825096435, 852749982, 658594251, 673358438, 591205187, 575828215, 985761547, 988408764, 921281441, 595976411, 901971528, 634043925, 703523773, 962084658, 790535738, 523320665, 722107797, 603972296, 933604336, 632281994, 852156813, 536579191, 734615784, 733997924, 750079336, 840628573, 540029603, 742644732, 929791056, 652060727, 958908762, 725137718, 852741343, 727407561, 686751791, 638000780, 647377529, 943343489, 511793009, 672938882, 948905448, 632929071, 694643508, 523781901, 964795970, 894612443, 579919913}

    58

    Returns: 78069338569548144

61. {139100700, 167528667, 460710442, 480328562, 102877056, 475912764, 487574513, 440137783, 278112717, 309750183, 34013719, 431676865, 37905864, 366111829, 399314462, 477052010, 90498, 267159310, 456907354, 1771935, 200451065, 236545429, 60346562, 65836771, 290796239, 226858722, 101895466, 2105949, 220236720, 319289853, 269180952, 233489312, 234462929, 25638763, 152167237, 481299039, 189240258, 228946867, 445551997, 165445155, 238486676, 198906308, 118126606, 472001617, 262188621, 235135501, 145999389, 228931558, 123802047, 249377018, 483198163, 255128970, 244495879, 61807632, 452124043, 306423165, 140853798, 226875235, 406271873, 104153813, 132361839, 300295915, 425344539, 415750280, 298039203, 24783840, 371032335, 316282847, 22761110, 375096487, 467563959, 197729658, 69033604, 145530759, 421397597, 464552172, 459231749, 265026903, 307547935, 342239602, 290993633, 125420021, 487109635, 191094077, 211731843, 92777359, 430306575, 81431480, 218087360, 108883043, 58199304, 322336898, 286298143, 224421637, 216512988, 348075719, 278815021, 271168404, 493670986, 167498517, 52601394, 57245680, 34518852, 463118737, 429687844, 366343648, 193129942, 128436322, 18164956, 97137794, 409861855, 461993020, 295198542, 192784060, 39725207, 108246384, 346530816, 328957605, 63687343, 370604195, 356934637, 97338594, 456864341, 9304638, 294770254, 305197572, 45863889, 308330684, 474068508, 250374254, 56619245, 375446122, 380546761, 37847041, 264725319, 197184478, 383851646, 9372941, 199890374, 12207723, 96452536, 122954589, 379449054, 76325835, 71709319, 191464812, 386605031, 252752039, 440501330, 53686721, 3075668, 477184611, 497559117, 495944283, 155991832, 232546377, 155780253, 156980100, 341129913, 295470647, 88009946, 12286287, 458016135, 81756575, 215409590, 358681472, 214526253, 116578157, 71466831, 308497767, 391320603, 404611852, 242801211, 470542872, 105624008, 74944826, 378830184, 250435018, 453414824, 129374151, 347155555, 378064009, 444727707, 308144176, 69286214, 122855035, 59025328, 45239595, 44025854, 82333413, 142046816, 440297699, 410347518, 327038879, 264572109, 382874221, 322425761, 278886893, 265168418, 452008001}

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    {759605993, 648587584, 771569302, 987912014, 821170706, 533367672, 549878395, 751535104, 806999453, 787330718, 594237700, 913832100, 847971277, 606930292, 587831106, 962934969, 852613061, 594873790, 683885215, 931005139, 757461873, 998548227, 671159598, 500667323, 556328548, 633820187, 736609971, 595898753, 668431708, 754777639, 566763072, 793097837, 701211400, 839074630, 539063313, 656544335, 980548849, 857260650, 950412428, 675264081, 576201054, 860899557, 614482991, 683035639, 547922876, 681481719, 673044195, 954585927, 899066698, 848701862, 788101696, 550268318, 533247436, 568684219, 942320457, 766858264, 871644671, 835947919, 617778908, 612945733, 668899975, 911309833, 705917230, 635254657, 657430838, 615785472, 938722435, 799173474, 572355878, 840124190, 592710710, 832051094, 531845909, 754454752, 678650624, 578328329, 852918807, 765140108, 641523960, 811290913, 657097389, 560797977, 780805423, 726401835, 850389542, 907576336, 591344107, 923877487, 758938077, 991036100, 862462783, 974400444, 673692742, 626775446, 988056520, 589846584, 588577054, 536950410, 761546972, 804731071, 826844214, 779522487, 866486935, 692873511, 912398919, 819991423, 628384135, 904699549, 685352435, 521745329, 754324460, 593714411, 603228458, 937654362, 647627069, 907715595, 802526343, 591378276, 589545571, 778916093, 856809688, 865565308, 789283197, 948515035, 743994181, 731745702, 737796799, 523414975, 710862625, 913056760, 906316367, 816995198, 732350080, 873907883, 684668422, 944684200, 817460174, 716464455, 567155146, 824738770, 708192190, 582635683, 606737393, 602384018, 889600562, 712137573, 704509480, 917443984, 670940512, 787357210, 864344665, 938477471, 806611052, 535744387, 953906109, 774635142, 801047210, 805889224, 858945950, 854937868, 918865675, 708911613, 797424693, 960114705, 783644975, 722525024, 732164265, 692170407, 702128150, 504651195, 570946103, 905346372, 520814018, 922459331, 899401796, 744329425, 626966478, 821115046, 792537103, 580842213, 556754442, 938786216, 748358691, 566657374, 976597793, 616257500, 654502819, 856759475, 841862045, 997000448, 720555394, 628810513, 941809766, 694896592, 628980673, 929959867, 879431064, 638674757, 573344526, 504366514}

    169

    Returns: 2939083122709920

62. {63000359, 135567392, 316665283, 297198050, 439489659, 204681650, 134918546, 70681968, 82730226, 95439785, 193549545, 198723946, 248596106, 23841331, 209369143, 160746315, 103645779, 11649500, 338517953, 434174099, 277275152, 52390227, 23726353, 381586259, 101045609, 224104073, 475292815, 204300930, 132569108, 50205767, 17036096, 129767020, 225806454, 413986286, 249334323, 352283720, 136375099, 31869855, 443278967, 273526945, 90353259, 211128047, 342432696, 257271788, 98057402, 150061832, 396205685, 178673251, 288355565, 394958138, 428325185, 48410379, 161633473, 349591227, 227362174, 498336539, 421857015, 327546056, 308185403, 440404377, 477256388, 319094862, 195480210, 64006166, 313479563, 236258403, 228612830, 410771691, 86005407, 117766839, 479697746, 9454516, 176425594, 310247274, 185512828, 295648631, 459849471, 486229539, 88824587, 100564469, 84677250, 356714433, 307494384, 70175588, 251144656, 448931606, 33790903, 50473554, 106071783, 308167111, 294820598, 240594642, 37352690, 286694871, 20678462, 463076827, 393384120, 451495603, 483926007, 123345217, 448982353, 267559433, 370033902, 154144891, 102395157, 201685080, 13868174, 61170233, 351768337, 91131287, 324682560, 294972400, 60897198, 418222889, 82170774, 198730461, 247978163, 103922846, 494905896, 391211137, 340930802, 114242990, 211657155, 410752049, 355543769, 277385661, 316120565, 431857321, 168480456, 28332404, 87149425, 286354103, 338694055, 117924979, 451791452, 363862046, 416066391, 370116383, 80812416, 203760925, 237002189, 425871483, 438774103, 318491454, 463857748, 395451829, 239990769, 410043020, 70590228, 407820019, 370621079, 93483888, 42365485, 151295579, 26751473, 355082337, 251729459, 146397678, 366467031, 194357969, 339334985, 181123586, 113744423, 480828005, 239289937, 209178999, 363735707, 363823689, 30040933, 331265000, 158931253, 3536694, 264684125, 201402355, 270604029, 74630289, 392188857, 389900251, 454577364, 197909250, 378320734, 236559659, 270796607, 395550749, 179568952, 220388996, 721070, 337704029, 380627865, 178599003, 193238792, 102387509, 37509238, 30951148, 484954744, 115730804, 6358288, 361049476, 104085345, 108261947}

    {423282145, 296736020, 13259528, 377301959, 131278263, 314858145, 468945568, 489920320, 367636054, 161154404, 111925422, 219410364, 270952917, 373899042, 391353654, 233192052, 408993785, 308213235, 236554712, 7585070, 136205981, 124225369, 78608004, 388230889, 329248853, 176529143, 307371257, 447518296, 28530663, 152439638, 45138213, 49721492, 275815131, 364740095, 464117330, 98541940, 256202266, 456207812, 34991915, 353905697, 418245702, 346597275, 331721403, 483228365, 190380737, 91428842, 179040471, 46026406, 211044731, 367040976, 385868983, 263423, 103767278, 179253899, 969072, 212378119, 310159036, 59629115, 195796328, 159572179, 197600685, 404583841, 459315300, 338932690, 440294968, 316933872, 221860402, 464559952, 159902225, 249923016, 355117876, 298567012, 107465285, 49238634, 293406828, 495787501, 481352654, 243977177, 58791813, 383872933, 446295230, 448120585, 259456900, 305717141, 125156145, 230749749, 108710653, 411258943, 68378814, 218893248, 490837368, 90121564, 439603530, 205992157, 24581132, 25280152, 352028906, 185725792, 481257152, 478246693, 300311571, 292742440, 490010206, 107753915, 23197780, 438770492, 400532779, 62013987, 86665381, 324738600, 359011046, 415903138, 83258624, 402572774, 370452184, 402942704, 439169898, 68470466, 467744100, 330055078, 315361935, 281529829, 326461041, 36627532, 294633665, 374957305, 103216610, 47989145, 496399778, 301006840, 178774223, 465405393, 442445748, 491595886, 95618511, 109466899, 284310124, 463593428, 202159092, 409987547, 324228878, 152513885, 278929120, 249596159, 323094085, 108865314, 474380256, 380099201, 126919851, 22058815, 75851939, 340352372, 268698257, 96864292, 204849931, 348854717, 448970610, 156749185, 47242352, 390556570, 172250855, 114122112, 258519652, 163173773, 446774042, 184303214, 222296175, 221711084, 399723687, 318840674, 28068781, 53689698, 394764914, 6978311, 382421386, 9443951, 287479806, 477236923, 35998939, 60229771, 311491971, 1879883, 160170893, 422742470, 360541465, 418355542, 275227107, 259158068, 37207931, 436328197, 74924482, 170077522, 413988171, 127295877, 263288379, 193966712, 165062687, 455723317, 192293460, 270324972}

    {855925354, 993552212, 863801740, 995397585, 861347334, 628904155, 538976600, 511884572, 635283241, 624402886, 941437506, 995295859, 858784233, 654624602, 693077921, 654709291, 867593246, 719179694, 570680764, 521820248, 913427727, 878268257, 775972767, 652295664, 545147598, 827701860, 721441669, 964069219, 762344383, 706212873, 983317071, 618180244, 795149158, 786792802, 958773986, 924614947, 877323743, 773213458, 950497871, 944927738, 916220569, 670510938, 506244210, 792205730, 989614070, 562582693, 507993290, 822390403, 749101889, 871654360, 599677931, 783463049, 910340830, 578850346, 998548657, 822136855, 782754935, 951079475, 970054228, 542031828, 935052145, 877094459, 752695709, 884553490, 872071133, 944956606, 915639688, 940914795, 916503107, 618949756, 723738872, 784148439, 504305975, 526932517, 912297009, 704669844, 582462872, 999877049, 752280457, 752178924, 528418429, 804025622, 650946683, 998040109, 511968280, 770323064, 913957773, 820023443, 514784726, 696972897, 729462472, 889586850, 558434804, 885391238, 673881184, 500946673, 680069612, 873149374, 670783364, 807260176, 877625003, 942900371, 804053696, 836767414, 510375007, 713583106, 969970157, 843935268, 700526201, 919943373, 616415519, 919802697, 957048222, 508918084, 975457039, 648482181, 563521481, 933383786, 888533946, 546839877, 564990250, 599928438, 541043099, 854457041, 598701184, 763640551, 659388881, 599812987, 566597262, 660464005, 565444116, 668144574, 745936634, 674839108, 853933060, 896300498, 781714665, 707609646, 584638438, 576611457, 512467243, 775090741, 667487959, 826840076, 646476807, 974323479, 811229193, 933083994, 669448363, 547312071, 930316295, 500443781, 868082526, 779976417, 993975000, 994981464, 977747271, 935653311, 634148502, 915369821, 523848692, 853829187, 701778996, 565251273, 554433957, 796873238, 521063426, 648082371, 885489029, 672652059, 918781830, 908541483, 558183668, 919547051, 587399800, 995714202, 689450070, 738512023, 766997427, 709840949, 868455703, 811034664, 580182799, 908046603, 634019827, 544924510, 691057579, 793074081, 779334692, 759288543, 771699221, 611333765, 545071682, 536219942, 605860485, 941752603, 639403410, 675290810, 597366997, 542254060}

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    68

    Returns: 65422140153604850

63. {418061333, 188109558, 366380499, 29345051, 404679844, 58156431, 123500759, 487006900, 415998701, 105461109, 346727911, 34288069, 405572180, 420638393, 124588045, 43434511, 297627015, 489626332, 484001004, 491085084, 388693533, 465701851, 143262873, 306370990, 83149389, 146601043, 175272626, 329735823, 351514582, 71878783, 325662610, 49291616, 154051721, 230556240, 34908671, 461467147, 23532082, 404926141, 321617792, 455863195, 80708405, 205284687, 438463192, 184283078, 150160615, 79761025, 311754322, 248590111, 297438055, 233396352, 221629892, 123053118, 122856328, 13538794, 380454179, 452284192, 184093010, 482817988, 346003009, 83833707, 27475169, 225303946, 210221498, 54241253, 129832536, 155732144, 4143981, 195429783, 97181955, 100593817, 281506817, 293246346, 416719385, 145716484, 335605924, 105589506, 156482109, 298552086, 135581324, 240218337, 325127905, 247720681, 98203274, 370254813, 117738236, 346756106, 148705867, 389306460, 153139654, 180110759, 32273781, 351264504, 92134691, 126322336, 344148133, 46776803, 202682346, 373136090, 277377145, 191890895, 19095074, 284054771, 424587784, 394206444, 383462571, 250221790, 39663359, 90106033, 83619104, 194396223, 285394026, 470320439, 417367567, 313782452, 14591912, 280870050, 152799913, 221180450, 357046296, 113675475, 465595905, 337315809, 85085086, 16210801, 75306303, 53438164, 243430504, 187262272, 40814999, 235756861, 151132610, 427428948, 488694418, 303552289, 294464418, 335073783, 449434139, 92631607, 111046469, 208505468, 29187975, 273124934, 425994557, 289851220, 352482691, 423605998, 484026785, 66311935, 114340647, 379513445, 201600742, 48918556, 150842771, 268627334, 65156893, 30807285, 391308758, 168407059, 129073894, 4885262, 309164036, 228581249, 429486742, 346245570, 76318810, 355085671, 367835397, 222550935, 345460629, 1587278, 156394161, 326481472, 372835982, 451167223, 406521518, 160702338, 221800653, 218279412, 140705441, 79281934, 44334289, 323605224, 418736390, 54870411, 337621339, 338061664, 394178425, 265025312, 499429040, 223321220, 238446769, 340610345, 440688340, 448119361, 242074481, 19230184, 297274815, 258608157, 477892550, 305094285}

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    137

    Returns: 12374257340514745

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    {317342958, 151004366, 485798619, 251598172, 99786954, 414859794, 64920134, 100063184, 94495214, 298929062, 65800840, 248080191, 357376699, 179000707, 15203706, 210408120, 69660998, 29894822, 169767448, 196290036, 205205793, 490419078, 331266568, 355333167, 106757974, 292536359, 286183789, 187764090, 433960819, 110851738, 42523113, 46537449, 9888661, 79209496, 403938239, 286211197, 58766726, 257693386, 13310729, 12986722, 86804677, 207390528, 351199380, 325601336, 74478787, 436672905, 16890865, 27246075, 288300042, 263940006, 363941477, 96506965, 101831250, 333406510, 68145364, 379535552, 465018220, 194887497, 262035047, 429240506, 190908941, 343984503, 24566224, 204123573, 489914292, 18696319, 359067876, 460672788, 362900801, 335631886, 63959650, 104163629, 347332430, 367325340, 209963756, 322933603, 40830091, 173088354, 51578012, 126484784, 413977277, 249059318, 476511367, 322517507, 355016448, 431512907, 324174370, 221133356, 85038516, 393118394, 335849630, 27569825, 191536286, 469834301, 403478849, 237267492, 178024701, 28765726, 10202611, 233304818, 39316126, 473872822, 435062946, 131169243, 53096274, 117847033, 139036646, 313843203, 176765023, 89862326, 387041765, 388977393, 45169275, 429300551, 226584449, 197022586, 159921061, 467329861, 266187642, 182260957, 448978098, 396773099, 64350262, 212097498, 62772325, 319390454, 467121922, 164040260, 105489444, 25809525, 369928353, 138855964, 427731976, 96574826, 126212941, 228168607, 211259039, 44534995, 491253951, 384568469, 50115672, 424531458, 281172701, 294748808, 361256670, 331693883, 73834220, 490375851, 20753432, 246513469, 260050449, 347122726, 360922954, 353899713, 196326599, 39205884, 326799656, 476555155, 63020584, 346210077, 305688483, 51114926, 443050531, 482193084, 469968094, 366328581, 483243845, 19119560, 6181548, 426365793, 446141622, 174959909, 339976887, 376467186, 416109876, 314300403, 34368955, 308828454, 346871013, 482120374, 128844446, 3914046, 218584016, 286463217, 124332385, 355899362, 86972214, 170913004, 98788985, 256271925, 414746533, 231234267, 202080065, 105926839, 171454538, 261175609, 439719280, 43406796, 483761265, 169411867}

    {960443281, 637873835, 865503922, 712715551, 698782084, 993143173, 973762313, 767563262, 896731239, 846004110, 974749340, 835906098, 577556444, 585824029, 935447342, 994126305, 948533223, 991235910, 684120944, 656583385, 956316767, 530166486, 813022017, 793140502, 994900898, 572463420, 798749457, 619758543, 910070398, 597902738, 897054257, 854413217, 505393028, 519551612, 524786361, 696477903, 553184557, 899886380, 719606931, 670815220, 558643265, 956101427, 814036046, 936848703, 580410075, 652700749, 863378230, 605352795, 520575132, 582192060, 816469814, 592438879, 879983640, 739896360, 502842141, 600320936, 844979442, 929705592, 621063449, 915433382, 829260346, 819845598, 999114275, 639632198, 631403910, 724632623, 524344045, 808041766, 579158389, 681840881, 948099797, 841099119, 952885849, 920819520, 946301610, 698393638, 518223404, 522617571, 701665343, 634913135, 593609094, 546948983, 935484379, 797310148, 809652074, 592878575, 990342079, 591523175, 905873762, 862036530, 980926782, 893903448, 503751190, 730480172, 523985708, 765129838, 985196237, 795293863, 729015794, 920992096, 710170107, 934957384, 515353379, 557107787, 585600322, 812563595, 677841788, 822241541, 794541958, 923319393, 679993415, 529089831, 945670554, 568041694, 657624713, 880728891, 947134748, 742372642, 545589933, 975515153, 917046406, 590090490, 508342262, 663146101, 851652881, 819092609, 905362726, 854510108, 716950986, 501054604, 744078148, 822774762, 930517592, 630711082, 837977371, 883886473, 844714672, 577823459, 670002766, 940542364, 504969055, 923665599, 588583550, 640014082, 824942779, 613028781, 837872548, 789116790, 831784368, 784424649, 843380042, 729334140, 566392174, 615225582, 586939070, 706468961, 985016306, 537929271, 740489307, 802118442, 501513116, 540242876, 740466239, 638298153, 543464875, 941187002, 578152856, 652697685, 825100424, 895236344, 781472004, 919691242, 561305070, 522126264, 806542719, 954908373, 710274114, 756041875, 635414975, 820907968, 907953062, 981123620, 842545709, 650017820, 849769327, 793464490, 521432417, 821384718, 829333348, 958338519, 515666020, 948125773, 746893527, 646120544, 856790018, 943912813, 964052065, 781385993, 710134626, 788737415}

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    125

    Returns: 16674504000049390

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    {166317023, 98945364, 246909384, 116228454, 300945803, 366923139, 136754910, 11522283, 6463589, 213139090, 151447268, 65784465, 138546298, 217779054, 392541673, 215472979, 176353325, 197035283, 470530880, 408865183, 339361598, 316813946, 336178169, 91935961, 322997053, 275724452, 161320948, 271569884, 464337735, 418205959, 335666357, 464459868, 201119096, 436020645, 282692942, 19571679, 414574939, 179665577, 382303152, 298810437, 417279863, 386286769, 92380222, 484574178, 203272349, 486456891, 443884653, 234731448, 88636837, 169652803, 378957845, 474442018, 109050945, 216619733, 253221246, 328647188, 10783015, 210895280, 324076675, 30476146, 341710767, 253153740, 96737518, 422085887, 474210177, 19376332, 20643633, 425473333, 44988167, 315052237, 314073862, 73406598, 160208767, 255883790, 379371068, 20488521, 455855850, 478730527, 151920908, 198524460, 72135471, 425099619, 67526802, 467959748, 237803103, 279938379, 193370726, 176766444, 484023965, 320300359, 454784592, 443848375, 418551723, 54938855, 135458750, 375844249, 141613401, 432334687, 443356469, 130047275, 441706590, 373004139, 34067754, 164414954, 263773170, 439206881, 434064982, 22980898, 357106789, 167985837, 190775611, 85829124, 53827411, 390404979, 34667478, 128151790, 213613771, 299409287, 35542080, 182396838, 100639988, 412139814, 381531762, 224665562, 87462939, 174467224, 134219272, 380022026, 479330465, 414827216, 171916612, 175356163, 323760333, 466168476, 266419460, 326038849, 182018520, 124625050, 421855663, 292686671, 329260154, 214327131, 254709098, 191576200, 343472607, 440490237, 323701707, 493811534, 75346560, 27484594, 335093863, 393619302, 267334273, 219815312, 496615571, 440510987, 327306480, 472807347, 207182833, 482372520, 161631914, 421970563, 267138610, 380497757, 85411132, 32075430, 1101349, 422467711, 469129605, 204075634, 469250939, 350623808, 43396936, 346453348, 266853072, 413406270, 255573031, 435177277, 98559842, 423666762, 352875090, 43467736, 19171239, 12373614, 28983101, 289363262, 346405098, 453546272, 408633280, 41649875, 161069330, 153217542, 171495094, 2340557, 113560319, 79961287, 360550929, 85482855, 80145892, 136510142}

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    190

    Returns: 790745018773269

66. {400109044, 398661635, 307506723, 483331769, 76064751, 403097597, 67785729, 347147071, 464817627, 454764369, 407554536, 435440227, 311811355, 353750390, 182537337, 339895843, 266369346, 148500014, 326710616, 99482917, 421302137, 77206745, 411462707, 207846604, 259799317, 174425568, 426923411, 48877218, 388002678, 21923380, 299111879, 158645542, 188410589, 80186863, 50017744, 39409798, 198475963, 75543512, 481412884, 77179087, 241455078, 168586632, 98594546, 408347443, 43641868, 197177317, 219425168, 277879272, 421094009, 264967031, 213886059, 435488381, 318049577, 384096106, 149977818, 352837935, 477841497, 465573809, 66794885, 52703616, 374066905, 308828372, 143450402, 188372163, 141852904, 145804955, 11069937, 220724245, 373141123, 65851121, 131958332, 484239163, 484213807, 358149787, 458400023, 365995276, 40004249, 487136213, 79827674, 450928870, 129540683, 124943430, 478583922, 421408747, 101297152, 350812770, 322658888, 296085657, 132953258, 404568292, 397308190, 265235785, 470234377, 437176312, 324202790, 287494877, 195010262, 400742782, 20150460, 144446926, 202264279, 297156380, 393669039, 142632185, 269358456, 260616436, 107109872, 60473558, 46087636, 239320632, 29219095, 312178983, 262934825, 230451484, 387196341, 458456902, 359820274, 271567216, 341093000, 210115543, 169101766, 232201928, 247709614, 339657885, 210867448, 200788931, 116008654, 315490058, 402048251, 483296943, 84604535, 200458460, 485314466, 147501317, 204939669, 474801381, 427927887, 386213075, 304922028, 228500810, 457831536, 116340932, 496609783, 139946388, 281111323, 96225355, 489751608, 365631388, 364830353, 267618841, 131569514, 367170633, 162113172, 124723897, 459366405, 343114711, 9954696, 175677442, 252021692, 328751814, 195386544, 167649285, 39829325, 386117393, 131648894, 161538348, 259430867, 82958144, 270608918, 186823286, 264306768, 373471965, 142583285, 396480702, 193014382, 19555419, 27484585, 68655488, 432285983, 383118110, 301350721, 81030867, 273673832, 188345320, 463832236, 147888426, 267248332, 125207884, 215246032, 422273111, 299557046, 208522141, 193578993, 415571654, 433678651, 135474283, 336396176, 314329321, 99836399, 332280830}

    {227806089, 424613361, 387176903, 331143272, 161020331, 79939209, 238640768, 104094286, 292403458, 63293626, 85687592, 255342735, 394806965, 225541807, 434280667, 497692947, 365499550, 79193775, 314136320, 443748701, 139316529, 5953383, 164057952, 383192444, 452936768, 287699928, 357637090, 291526391, 408912027, 231773253, 281300795, 87375784, 94417756, 317939710, 119954424, 197047891, 17963135, 434765662, 44090182, 13516094, 267358914, 110064489, 22151128, 109813998, 10879690, 20050996, 168127908, 56100670, 477146950, 206271183, 441159231, 96344840, 103211138, 398986485, 86211775, 296252736, 204127090, 270958109, 490470135, 477814461, 180541365, 473412321, 6499057, 175087204, 338443681, 199054229, 120046393, 47298543, 273041793, 420900915, 424830412, 101161280, 444279333, 281319016, 381902755, 109062448, 75667937, 41428994, 177729935, 314880013, 107940738, 315011366, 487168032, 443651978, 429019195, 387520996, 201836272, 167765586, 436536045, 441343359, 257758866, 329103767, 452644711, 131559791, 307927341, 475275490, 451647977, 234520917, 222187073, 374739158, 61125749, 251181597, 93288157, 185600465, 231777968, 382682851, 314919120, 428823307, 406942837, 249082803, 485842840, 498247938, 168168289, 435972103, 329399041, 466788141, 405724828, 328814029, 444839643, 221405700, 370985502, 193035461, 400356338, 275853575, 407269339, 473543448, 229695974, 103224645, 401990207, 214383015, 358963559, 216246808, 35256731, 219583829, 432332450, 107183637, 274620266, 90082939, 11145278, 22707429, 153751701, 227655653, 113832410, 221108300, 432400539, 362561657, 218259877, 62081188, 235971676, 115614862, 428769358, 216003624, 371041221, 296671470, 243866496, 361093945, 340584045, 79646535, 111976476, 287019002, 428208991, 281969818, 301121764, 459901643, 296510959, 73852826, 310499087, 362352402, 499066414, 165728588, 224113741, 43632688, 175325651, 121584312, 295623918, 111815009, 227371839, 109186970, 133918382, 284443471, 498735883, 458621826, 45613727, 352098231, 212490035, 260537896, 19579114, 493173126, 497137962, 3215492, 149483908, 478667979, 82966567, 425665358, 99976313, 291540527, 339906414, 137049016, 35149743, 146129486}

    {582907622, 904000850, 861437633, 879271305, 815854075, 626594948, 513690025, 577283820, 788569506, 817317124, 522715161, 881087354, 826590688, 509459455, 550357527, 580054667, 602083424, 737756828, 964767450, 724031687, 994570369, 873620806, 658535898, 852478728, 826190239, 518384608, 929093032, 612702886, 697200828, 754352266, 688976367, 559925281, 866401269, 926914183, 557628222, 908847449, 895917780, 551787219, 804540738, 983972290, 861456993, 884955155, 800166256, 669110128, 801670350, 893313845, 641296488, 871646342, 723421742, 910297956, 760428713, 859613447, 767021992, 588015488, 767642297, 519595118, 902883089, 648370651, 938413800, 967782837, 961300465, 853360183, 742952694, 534047793, 639293105, 883650431, 735301032, 524556053, 802184406, 702477234, 980294124, 823093931, 862942206, 666816142, 823085037, 668442793, 682146531, 988080277, 588429822, 954648931, 897691732, 716414966, 967836800, 584636097, 925998338, 678016280, 658659102, 839648581, 846088054, 622492611, 594513037, 650491755, 933868313, 975332426, 926626448, 609684972, 616127218, 981063233, 916279314, 597656322, 745923299, 975254103, 790811840, 605726128, 854403084, 546862381, 799883628, 964750423, 537652838, 541942733, 652949822, 590292345, 708193431, 501130929, 937358474, 841334163, 835205784, 709738994, 685348369, 519209106, 665106024, 636312562, 888477561, 573350485, 673370209, 957604747, 885051954, 679875523, 503001309, 679975565, 776740362, 956331791, 627268370, 631550506, 946019348, 842416734, 513525659, 810799764, 633361146, 642362788, 641464304, 543958591, 524448701, 897836056, 553869980, 973853788, 672842237, 759702117, 691316762, 628389119, 677259283, 759845973, 745286197, 674399586, 825959283, 888068269, 769716480, 749587296, 722704249, 957779618, 660622441, 681432883, 754383701, 548829068, 712795619, 683555864, 554331978, 946761582, 853508781, 770151146, 652547012, 773248535, 529174408, 865660521, 512256539, 628709342, 828913893, 581070786, 734820794, 633092880, 709454237, 680326781, 672744793, 671927903, 879506487, 590363034, 886637455, 583555049, 890122356, 980500248, 623984661, 960712038, 643106203, 759228417, 515860694, 847204111, 627687458, 793349038, 708422623, 841145019}

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    121

    Returns: 17706885742986732

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    44

    Returns: 147085044508164840

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    29

    Returns: 182524184954825292

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    152

    Returns: 9894668161326045

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    38

    Returns: 135784764422310900

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    {437828689, 278418893, 407255158, 180246217, 122777147, 363223793, 352436548, 462149540, 7403365, 97828041, 409635013, 184688697, 469029336, 273498022, 211694527, 322305629, 382701233, 415702871, 138128557, 254639348, 475056498, 264293110, 51386387, 483806707, 276689861, 213370124, 71698542, 309025569, 110503790, 224491078, 37841812, 340081619, 356900076, 164980568, 125985326, 25520075, 366237712, 198868247, 134323170, 284175479, 304548039, 271266050, 170059908, 368385254, 214256621, 89249804, 165045030, 150139191, 324217945, 334072718, 157092894, 60650121, 220660209, 145427459, 476151834, 472285817, 237898150, 59076456, 366344862, 53204247, 318093139, 89438764, 487167227, 414268284, 17003664, 372666927, 149806107, 451298382, 157004443, 60399365, 496346812, 111979403, 236363006, 473992867, 390541165, 19896972, 14498785, 339596610, 148772319, 311401255, 282145829, 94201948, 458905197, 294107539, 427828583, 105284179, 169535193, 21312357, 41921472, 353138986, 284803837, 316077857, 104543205, 317014118, 129771573, 9666978, 1742600, 129813706, 227064746, 271285516, 59644208, 1334244, 342097910, 341220363, 432429859, 400844613, 367681419, 196304350, 231987413, 351830036, 103030743, 459057097, 225405428, 436930000, 260446973, 106563824, 120216118, 261786808, 94364968, 44861928, 399304885, 427513472, 432575196, 104772989, 439585429, 169305634, 242655729, 128874894, 56277692, 257520398, 345844346, 79012887, 5493227, 256822362, 314782873, 400904082, 214688550, 469770104, 156944008, 497118192, 67069614, 176236562, 34486702, 410544721, 38674300, 54465083, 194529016, 449000186, 464670219, 420977707, 7186031, 164877695, 137322815, 146647848, 244730254, 232966108, 181957739, 155057210, 312618820, 80585624, 392305233, 280806084, 428627090, 221339952, 113696026, 306129281, 185907221, 29012074, 82963769, 189328147, 258363547, 263651334, 291960071, 85109903, 480529006, 138344088, 305346219, 363146826, 211920925, 399237859, 219947688, 447051871, 341593272, 481649994, 168394922, 212951556, 144291200, 239597735, 280453306, 316833424, 363633839, 345970689, 215869345, 370692866, 434402482, 28342502, 175380057, 326291315, 216163800, 130048482}

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    {509453733, 642810618, 640199652, 835244523, 592197111, 905851911, 651673525, 602160105, 546880095, 984519085, 924342480, 963231837, 571833895, 593220722, 535740538, 734553337, 784147823, 641534396, 549882120, 712171062, 963122854, 857957010, 779035990, 572374153, 909449961, 538224753, 801069248, 675571915, 610648833, 851574281, 529196783, 589554025, 868601720, 542622475, 915508734, 882909309, 529912669, 701750644, 701476153, 776824800, 663475911, 690570556, 984217587, 721603390, 719418798, 702976254, 707875990, 613613737, 833838450, 669418781, 610997053, 527133664, 599001851, 546142407, 884345848, 632261983, 875132209, 944072242, 702416113, 833770964, 784607367, 787749288, 508282258, 843014607, 547827820, 784513638, 712000983, 903243590, 633074926, 710423712, 821117774, 841702563, 882511108, 643719620, 944139120, 574790934, 879508339, 640000669, 976098437, 808986672, 918200565, 645235728, 665368066, 806961337, 695686362, 943081767, 744419905, 639621401, 593712526, 605904609, 790325082, 952921699, 712008083, 752770350, 951120387, 737210876, 991292518, 827347461, 940463834, 967856548, 635017554, 591088507, 981257653, 817370000, 566486756, 884986142, 541922671, 730030327, 759340430, 781733247, 664596860, 810187359, 620008060, 946116231, 675827147, 968126985, 558296224, 662416870, 511145007, 824901354, 954390140, 905730356, 632500973, 678065663, 965475973, 870843017, 509292591, 825750969, 846012985, 808139700, 967737296, 532171948, 601266722, 752324132, 950473952, 935874762, 934326287, 801873791, 960248773, 525875462, 606011333, 515198655, 594793237, 560282744, 861668350, 966005693, 671705222, 677435992, 661560193, 728854875, 683346855, 920774946, 788992881, 867855931, 970404681, 690830344, 659845029, 853007931, 831052472, 559182289, 544126493, 948703722, 713212531, 579801183, 534372841, 997518438, 921754594, 518079706, 996691521, 728582150, 773749299, 808322354, 634188933, 925745371, 965847629, 571229673, 721207686, 966024005, 577504068, 548765809, 539671883, 967169740, 744435272, 553764538, 634795616, 822992555, 784818443, 620561984, 769638313, 749990453, 792469875, 673504151, 664972564, 887150224, 814521924, 980383081, 595403384, 698746360, 524021278, 658287929}

    85

    Returns: 44085679425966603

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    {253496642, 218717199, 381360237, 436016550, 225249973, 290386994, 22927691, 60777122, 103438836, 458306291, 439608551, 433352969, 204051651, 226651101, 221771983, 442527067, 339322896, 384190137, 189054250, 244410965, 316921674, 195677239, 318267134, 100742185, 499525133, 8784789, 210263694, 314863216, 40285214, 198861244, 410302287, 427769550, 306567047, 136049891, 372308534, 313000193, 227591948, 163520212, 133832035, 365017002, 295435987, 443697780, 160614782, 296093708, 393339697, 368916582, 186990508, 28981970, 114323786, 475622716, 9793150, 279565401, 156336620, 478440924, 362785075, 32740863, 41241208, 144618833, 495237377, 351111544, 112153548, 393723638, 21613155, 244740818, 359088094, 375210351, 325045859, 8310966, 342401371, 132679799, 99454959, 340596805, 469955599, 276238049, 101567074, 236946991, 86459345, 495697268, 275413900, 332386461, 268502507, 262259915, 374467469, 396209264, 146262649, 65814642, 227557876, 231652743, 24491308, 427314518, 317705168, 105240016, 315928848, 12498767, 332358148, 251864186, 372396440, 452588759, 385569136, 257589417, 73480312, 314903294, 450337046, 179758726, 371199451, 69663377, 46102197, 423323244, 319595405, 363975957, 344008379, 334286227, 5182161, 45248998, 409714334, 341526657, 85976163, 178657585, 410240804, 453275826, 414541093, 255266065, 91291733, 495691530, 58895903, 342540536, 323677113, 16848570, 208639918, 103554094, 300820447, 221327638, 209870612, 388719588, 259357019, 217817476, 70645735, 45881050, 61274887, 395449858, 88558100, 144675574, 389092938, 69467365, 443510729, 225359290, 435473838, 122661847, 198273921, 190335207, 231103702, 8506770, 118596403, 488151408, 399151916, 14941808, 162222830, 373241650, 473162720, 482504761, 108137728, 238846619, 322947944, 183250795, 36722343, 150637156, 85109512, 335708018, 109870668, 242379443, 200360073, 295909081, 44635067, 57713263, 404077923, 279895505, 374406205, 457631262, 482280485, 134708126, 459153407, 77334152, 381944993, 133869953, 172962365, 268537803, 149345507, 488884469, 364644179, 174406772, 127748715, 468243337, 430800627, 332317273, 295144901, 147958970, 452593352, 346410311, 279198768, 347000823}

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    21

    Returns: 235015423265719802

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    62

    Returns: 83459364321607830

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    33

    Returns: 137766381185460528

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    100

    Returns: 27571973208957840

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    {790781118, 962611903, 734656931, 756706084, 751815055, 593038421, 918481853, 821587041, 896143530, 679253901, 964919016, 783687934, 569604584, 669239736, 669186563, 624408463, 750868919, 714340342, 685003188, 714751879, 677807550, 747081824, 616535492, 951736559, 544353798, 566615926, 681632984, 780713647, 524998230, 676773093, 514150923, 736124637, 957604762, 583622419, 934055460, 813189137, 757483932, 695389981, 905891951, 935536775, 816228278, 777370423, 642839521, 796135693, 733213363, 601627868, 762030094, 985569211, 807412527, 586247592, 841587405, 540948592, 890200761, 906752207, 887960829, 996380065, 707699998, 711192878, 956303476, 828850945, 647585212, 529932531, 653151862, 551365415, 814927186, 831056213, 560935824, 814067691, 916203824, 855030077, 750694093, 743497784, 863600524, 506349646, 809040586, 741184492, 821168053, 908009455, 929174647, 801587080, 762817319, 613279665, 924434551, 985521541, 559939527, 848792461, 860741795, 829324330, 892350190, 646335672, 736817631, 988178743, 836896054, 940436566, 689260955, 597900529, 582777729, 918898726, 679762630, 913024457, 804764781, 999912620, 589857975, 530334467, 899243565, 559470885, 851335014, 852985947, 625255482, 517427294, 747495102, 597491313, 979426519, 584556674, 590702902, 508360615, 612771002, 978917356, 793410112, 714516179, 857102929, 779632483, 895221650, 686482967, 529990841, 947954909, 565584492, 693126231, 824260550, 644346648, 925634409, 911557728, 600506342, 902080960, 847807079, 517428045, 607843252, 503325270, 650748111, 568924987, 761349579, 860638010, 806249750, 908473222, 963406474, 908486013, 785380103, 570567442, 566251162, 853030877, 572253941, 572844588, 956208980, 919107852, 692923569, 597721208, 781557088, 809617173, 561261317, 930747083, 612049815, 667824383, 696987179, 698756112, 873238676, 925529114, 592666553, 529005463, 956406842, 791421578, 738519940, 595553897, 679850068, 988841698, 951915460, 761654350, 778784223, 677105039, 688450756, 533878786, 759197232, 644980271, 663592465, 749658446, 818547843, 696767138, 542517977, 517023356, 568699945, 598842701, 866443999, 714512913, 806908176, 795468306, 980175325, 891448426, 550596542, 985396984, 537383747, 811851778}

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    68

    Returns: 81229047126492490

77. {317530861, 218982251, 192654422, 5417554, 240405536, 441071966, 478162715, 471795648, 6212913, 169263924, 325960006, 75386808, 111341022, 116018127, 43336281, 377447380, 396533182, 291665948, 496229289, 319826720, 418916310, 475351674, 322482496, 87586505, 336871015, 339434276, 55600405, 415529292, 143594512, 172934562, 301611047, 250960847, 223568481, 231583565, 463795617, 258832261, 163317817, 302520831, 190893721, 138496901, 88102765, 327998138, 497963352, 471412222, 12561611, 148827243, 465432668, 421679085, 153206617, 427167609, 370512431, 181660984, 63714384, 274239232, 103074622, 191848871, 336625019, 308142042, 155630354, 389410058, 201566114, 497429261, 249153180, 357473436, 185590149, 291377494, 320528830, 466145922, 348152839, 203767484, 204362015, 458270955, 233811831, 386333351, 227968795, 72962126, 199331468, 354408957, 86424288, 61092094, 64516361, 7792981, 240845345, 233225708, 497864664, 3408619, 39797240, 53524922, 130552237, 176722622, 463045620, 279758549, 342127869, 331487188, 267243560, 408069457, 315127987, 205524369, 122598608, 499983445, 81472651, 228367702, 391637075, 84036686, 394167057, 493225462, 229044319, 269909195, 419796647, 404867552, 311219393, 118485656, 24956962, 13619150, 67438774, 456460102, 465917837, 497297993, 35730569, 5696474, 151129197, 336337232, 369058786, 229270658, 61602296, 464680157, 47798942, 47053914, 249682550, 389206028, 373163545, 130945597, 294041254, 2885372, 119942512, 469530846, 370081314, 12264898, 368555102, 226214337, 32699837, 79454861, 386067772, 437581076, 452697560, 260629977, 70693930, 191740677, 322407379, 157976114, 421169702, 117994916, 360090703, 389787315, 354712414, 405319670, 150094909, 432776666, 426673124, 221799964, 248279212, 316304133, 86828848, 325739063, 383092002, 435714870, 491373885, 311499184, 139753115, 454236855, 328994053, 492955298, 223791113, 62537914, 249700671, 12526855, 396526219, 426729385, 37960502, 289071408, 455558769, 137567682, 370910121, 420680426, 327246336, 275113905, 417860152, 320809032, 225216754, 83786293, 86654692, 200033328, 475937290, 392767040, 351118468, 139768210, 133300036, 163133240, 153562007, 60681295}

    {437317748, 268736213, 439417596, 438210843, 22884010, 469444652, 54967019, 111720569, 193107282, 464507566, 29940817, 44093748, 278783211, 288395411, 78036879, 462712873, 280890048, 480606314, 16261193, 187072382, 478397332, 446972581, 362940061, 227577759, 224631852, 468467868, 187272042, 169805931, 334274291, 333862201, 414333497, 12385280, 50194931, 33007149, 184121353, 267829059, 80043370, 266251453, 175460353, 391412988, 392881709, 241401699, 141099732, 396113966, 477209750, 88958114, 104587609, 64137265, 122318445, 249356809, 180577250, 336707490, 316893219, 49194835, 7237167, 356034098, 448424055, 288899635, 84066930, 157152549, 248014654, 24836689, 100837624, 128428184, 269254129, 157555685, 381117039, 169424645, 43156030, 325146818, 418248027, 37953350, 101109147, 52383488, 151256754, 223172860, 255020888, 479788790, 95581568, 144356675, 394265980, 324112622, 438291245, 410622762, 110228894, 352334858, 321179930, 279034613, 202487398, 338414819, 406734452, 211790802, 100463875, 467214208, 292059027, 71041659, 25469070, 307837640, 470581496, 343664713, 115463151, 46945639, 419603788, 354442643, 142839974, 197686344, 303032480, 284860188, 52422396, 108060846, 254132497, 189630068, 499091898, 306811331, 475672013, 142081195, 385680290, 79387756, 21980993, 195218024, 330736577, 238817956, 383233819, 299354337, 404803070, 350790910, 253151442, 370610183, 458971982, 114485712, 362064910, 257906035, 469889379, 217444075, 405747849, 379283362, 409952224, 122971476, 158501091, 263517982, 158436281, 249308980, 255766638, 52796977, 235076401, 421230149, 366059897, 150329907, 264051582, 423795602, 351957157, 474242606, 272520351, 398092369, 152767495, 373887983, 78027900, 282515278, 224136182, 157419820, 370953471, 335919333, 25279321, 468569758, 90384599, 349537316, 72624830, 343651943, 442170666, 267993204, 269057827, 291589802, 187490123, 394197194, 284188667, 150526010, 421207165, 233254126, 460724778, 118044493, 189520454, 228648474, 87955400, 209500222, 14036751, 390110431, 326359415, 106586331, 249095672, 116280411, 293056282, 362208240, 71509110, 277343433, 324560847, 219094630, 411924885, 337356412, 120102430, 51443015}

    {873008913, 507477392, 534450940, 663236118, 857235312, 510237651, 519959962, 910585580, 679985919, 864321941, 748102599, 587806651, 701648267, 529907699, 913133450, 590460712, 722984432, 597839089, 970496974, 718922079, 785957592, 515551916, 594223510, 694242276, 689263601, 830257596, 631118640, 640979828, 529018237, 856616909, 697886766, 703657707, 830463646, 603914941, 663516654, 983992941, 803528304, 730935035, 836651890, 825144503, 868954605, 580351199, 565058745, 927267687, 822035883, 609757584, 613177024, 580022495, 891912825, 781611000, 699025345, 633557344, 918798505, 908492602, 683867193, 918995486, 717769333, 775211714, 553948106, 647615109, 713374544, 863863188, 957899819, 746202155, 883376877, 824735807, 790395349, 528829561, 829843880, 794362433, 524187829, 545471864, 733664610, 894987171, 883790886, 730425874, 628750300, 683488407, 720040610, 506575318, 960649371, 980776973, 806078921, 954180629, 929934264, 767463262, 571467790, 730173005, 838699396, 967133945, 541991132, 758187849, 882489972, 559951537, 533193529, 669386305, 750851747, 579095013, 781243677, 741562561, 548625908, 717894770, 750501282, 847615726, 661614328, 986384316, 932354738, 979554565, 751863204, 886259059, 995860899, 675988929, 539440241, 517872630, 619489143, 988083880, 719169393, 704750754, 504855365, 734183004, 680983228, 958185488, 904356939, 669049123, 678109836, 624241709, 587810095, 853066597, 621783811, 882080548, 709949650, 641666817, 911707705, 893030510, 791368046, 804220333, 961025696, 644618142, 907380930, 948361413, 630864918, 550471176, 774059118, 719072562, 565595393, 663840425, 612185216, 637336858, 537902483, 743381622, 634955486, 721168182, 738871977, 901985305, 618055711, 954817604, 737395748, 590623537, 875855070, 614476124, 916211554, 673175305, 695712202, 850902622, 912484391, 852612908, 863666590, 804892012, 834784539, 646666954, 932679081, 714287455, 655462313, 682174560, 848419934, 543605461, 860197721, 763281226, 705113591, 804590063, 675234741, 839649505, 651129178, 830181928, 904844609, 978647904, 800567871, 694488960, 584758652, 593398740, 689435031, 797519466, 537612758, 803421374, 726975909, 720929219, 679602429, 618649596, 736918341, 863721888}

    {938901233, 656678032, 734458627, 791525322, 734537429, 920412007, 748951338, 726468769, 615635509, 746258844, 975854275, 503097527, 670033921, 557227528, 754927110, 586669962, 718197972, 885749878, 956833960, 843504502, 691360938, 576171475, 542648622, 580639172, 929710904, 779935090, 609186645, 701508467, 886550766, 893894956, 880735338, 714813604, 549778309, 994255305, 971991709, 785269049, 886906160, 918883669, 776544175, 953593322, 602973549, 954040294, 752806809, 868016332, 881114417, 773467086, 892485336, 994380522, 849644004, 846737385, 911397371, 919274973, 593354269, 797344902, 823566955, 983917411, 590589941, 501722726, 739326109, 837455486, 545967998, 519366830, 968644821, 801986761, 716974103, 713706420, 678246270, 744419044, 802228766, 554944516, 983601482, 512378024, 582155893, 830263013, 862556457, 649622585, 613296030, 970675017, 809805818, 755836324, 768903169, 983769999, 852614506, 665319060, 602578120, 670755447, 929850747, 993974633, 501565583, 799038603, 590098732, 759520937, 750770129, 782508653, 740851158, 500655576, 846502533, 734571141, 694164959, 891399781, 707753900, 649154976, 616141333, 505337713, 957120936, 514727962, 680040989, 909282879, 749448592, 518928703, 823976337, 663274155, 943705421, 623279385, 778929440, 675866521, 869057512, 854896995, 802998320, 518313018, 850232879, 567721187, 802399019, 937042787, 573996759, 729961403, 569128428, 965045384, 903048243, 861252416, 985703286, 683762039, 877171879, 640371020, 969142217, 836700148, 988593450, 640668952, 532547861, 550292790, 991591107, 735269075, 995259213, 945608319, 601171296, 889488459, 738680697, 818033476, 999743698, 675175146, 670129258, 620767434, 626040241, 758641778, 682538624, 531608027, 612812121, 670674737, 982920004, 843533583, 723287430, 771345248, 638965060, 791381584, 632819696, 933813503, 698458463, 559633313, 856519235, 526853406, 874292504, 933537743, 906827255, 676616550, 708142246, 590484350, 834098642, 603536852, 906418616, 646145759, 761492514, 557356595, 616438889, 747086952, 830456319, 676337602, 932556341, 843381717, 551479382, 913482110, 607803182, 875611956, 790252336, 986454854, 620810709, 754599964, 832675026, 953561422, 951111371, 861224604}

    42

    Returns: 110940530887311536

78. {253016682, 294747455, 20179130, 276914446, 194651163, 218847312, 127787528, 51880807, 440377332, 125004736, 61239860, 295126412, 347361309, 334059117, 76823385, 479965390, 225833671, 491770453, 437581182, 88315396, 373378591, 413615741, 314892107, 27611153, 443585222, 444785715, 47779078, 274529573, 281657521, 486705833, 99561408, 145406207, 33158351, 445667030, 27287816, 437066273, 452818018, 390372486, 51975646, 380999981, 336913792, 257386772, 369357025, 388812488, 237583241, 253030563, 75559873, 387016127, 93012852, 391601036, 259826343, 368127014, 406046407, 77070160, 451435154, 333330898, 403301333, 61371466, 460665567, 370664679, 468939159, 154152208, 361494797, 438779000, 111127013, 173278031, 269253820, 82279172, 462887895, 467627962, 11416195, 237075670, 152722739, 402471298, 370264509, 455085540, 77088038, 46755282, 354614834, 318287868, 379443612, 246267019, 303428074, 97458677, 96207992, 486406302, 215663079, 443053246, 184707546, 279930113, 98402736, 428880590, 216033469, 263251443, 380751242, 137384262, 325132050, 308225351, 314091786, 472525755, 475010475, 393944253, 457414043, 291101454, 305024349, 60083176, 39209732, 499960763, 80734574, 175407985, 324299980, 24440051, 353936616, 305192798, 462823934, 347939468, 16382318, 301766332, 396992815, 400972265, 113119294, 208436431, 138841154, 405281618, 440985037, 371871817, 345400014, 65929791, 272946890, 123965854, 52668016, 307649015, 374815308, 471520906, 136913020, 31169390, 62312941, 66460311, 333209027, 396086712, 231080074, 208280667, 301471602, 153209500, 231056125, 469316984, 24393868, 402523268, 361762509, 291537800, 369172399, 274195042, 98254242, 438407477, 412844566, 359719475, 341423432, 410225109, 388153667, 173289351, 175745054, 307264891, 81155626, 403778210, 321560394, 323272766, 297647167, 445513763, 317588295, 465485921, 175566262, 399769014, 442130482, 318464316, 365467216, 46933177, 141383423, 144013508, 407926186, 354837222, 493782540, 303857989, 386191214, 350383759, 77383611, 432959093, 122907538, 122899389, 160750726, 333295337, 197610095, 339223297, 137344575, 497185759, 195166485, 272135706, 231180578, 201073790, 474034660, 300853851}

    {389651002, 444342180, 459294804, 268063183, 223508324, 424159137, 331433712, 469463795, 23019047, 232023221, 58728677, 400461618, 388166256, 325529680, 30432538, 106453618, 142970354, 64929952, 476146370, 8929980, 58101366, 284610425, 54491160, 419294636, 113472304, 53678297, 84776916, 128987674, 356840575, 482672740, 241273386, 486911595, 17694296, 41937544, 244730449, 468027213, 132237189, 51448767, 294550478, 25002046, 346468168, 451467945, 422003677, 179421590, 371829936, 307556392, 315797743, 242402354, 468659746, 40147030, 347764037, 308619028, 33112012, 196901502, 291748308, 136708765, 248102922, 233718906, 363970055, 136844535, 385175647, 241237966, 12983725, 218553815, 157357890, 315599373, 281736566, 268933534, 146881761, 246591404, 273359602, 493962228, 61179036, 381399289, 343943394, 422532126, 102757290, 282467300, 294043232, 491140556, 134426988, 237075351, 387009861, 35030399, 399723675, 248761058, 366359585, 130495753, 294089681, 408682547, 233254549, 228539269, 186749972, 62948954, 57435908, 358724551, 40611594, 220737556, 447390616, 274736519, 112447627, 231480961, 211529019, 264236843, 306011093, 106117171, 157295194, 89554259, 459630620, 206246463, 436342382, 392388050, 324015597, 64264827, 80143872, 175093233, 70949891, 34698856, 228151137, 42687683, 246616459, 317241934, 339591943, 303002641, 313734932, 112461327, 282075867, 490258322, 22386352, 277521932, 311832387, 3993649, 370684650, 257082097, 205976515, 404639020, 118272267, 469807738, 22983119, 172792177, 117136677, 177399802, 418780307, 490600520, 353671487, 394946996, 79909887, 396864705, 476138471, 218903183, 450396117, 343126256, 250798286, 103858318, 294431127, 244114245, 62238829, 198004079, 12661894, 174160737, 249525185, 72045190, 481589526, 260755470, 163903417, 236582511, 67546291, 199217856, 372677942, 74718096, 148819641, 73402238, 420759284, 203802577, 253614553, 494741661, 177943539, 315748219, 26730289, 287299752, 452913743, 45991112, 382583489, 379322744, 349111939, 227097451, 377120478, 302800274, 461363257, 160373091, 116907740, 270675404, 215187749, 338331956, 295292390, 462065862, 499195318, 34436460, 273732991, 45979360}

    {852506714, 698180288, 926279452, 893507055, 661809328, 794814479, 790599393, 676226171, 810405436, 517581597, 835533450, 507269980, 609898511, 528794348, 797199084, 531230273, 932466006, 825851944, 802335687, 568954748, 774434890, 572100011, 959497914, 746316078, 648746128, 641145711, 548299386, 543513107, 577015449, 909757608, 734159376, 616749147, 964616338, 594249816, 824135243, 949239149, 524941165, 855110086, 804213249, 747814818, 909811662, 755781875, 718286192, 852732224, 841929349, 939915873, 645160009, 924117787, 552429362, 527488986, 933997720, 893615833, 564914447, 633430225, 589136932, 541806493, 503878371, 694583891, 985630739, 548943537, 746568710, 561891415, 791817073, 919053664, 981241960, 918673288, 933987500, 698467523, 776940390, 876921815, 951420040, 884130924, 560090999, 661519537, 701099589, 526362581, 709920372, 978601625, 625145746, 856451441, 960127013, 794915382, 500679663, 584720524, 547210113, 835203045, 932754671, 553835555, 990566556, 531406196, 907847477, 929461290, 802783819, 622914838, 646378016, 969819751, 555432029, 501703752, 937484198, 805671815, 757645566, 832958596, 857269939, 934283505, 661291277, 647807506, 903648448, 899920058, 501970519, 798742856, 830037272, 906849670, 583169384, 709514545, 824964863, 883682508, 976298044, 821189971, 520079782, 770031843, 815345344, 980742105, 946196205, 877264175, 797699784, 555870405, 506846210, 880919551, 988098935, 974500685, 642137948, 736846946, 942304253, 610519616, 790594918, 995827475, 879688102, 679672075, 541331650, 730953083, 792810044, 611061074, 749876806, 814898882, 854142140, 647138597, 825441897, 992217433, 989128505, 856620805, 927820098, 749713553, 985507111, 777465730, 708606007, 728812827, 779427138, 514904149, 813519696, 713421458, 718889195, 738094707, 713273166, 933454015, 761095211, 562147505, 591936442, 539321292, 990906660, 612401917, 700188264, 804833200, 630410112, 558830555, 947561298, 547030562, 509295868, 924515876, 577753028, 826136823, 996937484, 632935068, 524076272, 519608634, 652192047, 598686349, 913975989, 701065209, 646049982, 508267705, 531214873, 677859322, 563412066, 670620932, 560083077, 925515140, 892213926, 773617699, 851321961, 775560542}

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    179

    Returns: 1312935732498105

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    157

    Returns: 8135531772702234

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    {807207966, 699357315, 868402955, 777408734, 547172528, 822738531, 903819866, 640680989, 834002081, 873283067, 886063368, 827802097, 889807388, 945056648, 831033963, 736078160, 668755596, 615532025, 971523259, 958237222, 787600898, 529285786, 611632053, 569890188, 649251657, 731397120, 519422550, 933461140, 551442488, 980890230, 938497905, 557182077, 557437834, 741723729, 731021204, 977195574, 885935074, 651471193, 727974374, 727549247, 625616832, 649630325, 723302577, 562012030, 600507899, 523436780, 782120276, 553069214, 629358757, 707783076, 774649729, 874056009, 787705490, 826537533, 850224742, 716626535, 953528753, 653928170, 906855563, 645084425, 892192846, 726901665, 763273885, 850920430, 544923014, 631633101, 932962758, 700652520, 533485347, 523989602, 858273557, 810835125, 813789928, 668725308, 789138649, 532988922, 779263765, 535566537, 797107879, 727535838, 511977800, 620822853, 572619534, 551180304, 698265939, 634057515, 706554734, 995777959, 868428380, 945443440, 657174366, 553076206, 732932636, 732647421, 566006490, 882574738, 873495187, 715014514, 808469679, 991758650, 973983903, 570725500, 681783636, 613308985, 998683273, 850498196, 964763270, 543398026, 619148933, 721466198, 656413252, 541533262, 792569276, 989851004, 923219161, 829934271, 769605219, 651275829, 597023715, 754051485, 996027001, 584823523, 506070461, 634163751, 928331507, 761866027, 928720908, 922910852, 920784947, 967982631, 852131969, 695774774, 747465741, 642440005, 627585252, 547375339, 607126238, 860989121, 940623668, 782369364, 767930733, 682946837, 547587770, 593417108, 774004200, 678906265, 984115517, 521752024, 951444880, 723159261, 537594132, 588611359, 534551808, 928988791, 884194831, 825778037, 746161943, 814959936, 731489004, 933637126, 512514221, 891094450, 579632942, 619927407, 922773270, 785614282, 600353535, 659765960, 939503482, 975319190, 690747801, 669149326, 522973081, 548257327, 610388903, 978393717, 792805172, 979297241, 592227853, 515665378, 890646755, 752701621, 874081838, 741213254, 502445953, 510482549, 791696893, 934511676, 938032482, 828920071, 849607880, 849962369, 768548854, 571732958, 985296636, 963471185, 822880142, 798955543, 852611049, 912087084}

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    131

    Returns: 15767990269173744

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    {281934870, 329602383, 259612004, 131886882, 318644324, 367148065, 61299604, 126029481, 235006372, 41644677, 353231004, 444588123, 335057892, 459926680, 152419706, 30637209, 81531078, 21955928, 34509211, 339777389, 342873508, 431920968, 360088998, 468337252, 98689541, 493460862, 141658818, 233786568, 133563738, 358012348, 128021326, 38018285, 471727249, 236326785, 153354800, 32116219, 183043256, 241213250, 359789517, 327663738, 118036920, 379412980, 477414560, 162312776, 492964999, 388332674, 442656611, 478132276, 264872380, 282471608, 58698188, 375955440, 255090773, 484501832, 430145832, 373853168, 141600866, 40564377, 367849840, 169189934, 306528261, 204810246, 446000273, 238452062, 336373552, 449147965, 250389600, 12734545, 33223052, 473550806, 413878276, 203629194, 415065120, 351999049, 339983193, 257213307, 249543696, 52387835, 117936486, 121702726, 326800916, 443152301, 65581660, 341911392, 221250827, 264632626, 390247719, 265215407, 417447539, 356836253, 332567569, 294342324, 189729455, 318932637, 413583997, 488301079, 386693003, 337561888, 121140027, 51690314, 283592462, 496263807, 489272822, 216804047, 71654673, 49646799, 454594537, 223105668, 21874596, 487169984, 186719306, 473754188, 186520406, 286389307, 23973690, 326552678, 104722345, 291855883, 157264603, 315341002, 12756720, 297170310, 306805881, 37150404, 224808928, 157417925, 302289221, 357690610, 456701120, 466569034, 347561319, 418636466, 132335727, 376223181, 260746888, 484013039, 262603674, 413814430, 234679197, 10111140, 326911218, 352110008, 333924959, 386887647, 305281152, 59835224, 419875097, 153823489, 269447722, 270576304, 105405037, 69326456, 11826146, 344840900, 366720175, 18011986, 19807328, 68724568, 314609319, 395937774, 309521430, 427462328, 465848503, 143610121, 251485189, 67074688, 86402029, 112041604, 165882056, 374663548, 400468923, 152419182, 494900165, 471512777, 150583710, 469857663, 27139952, 404490874, 114418326, 350084064, 153001508, 340656178, 163281528, 289311412, 451853511, 493637769, 477693733, 153713337, 49410846, 460876340, 482538277, 227723790, 235772790, 305144725, 303104577, 229361050, 304045485, 215097893, 36242302, 323164945}

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    144

    Returns: 6864301979894256

82. {466251016, 62023074, 422442488, 444331538, 42352978, 204205471, 282221764, 457429380, 399554647, 390127513, 80184360, 497609330, 153922274, 328430578, 193221787, 495582966, 71988191, 435920434, 252572281, 183186806, 44300814, 355243447, 243287182, 335921698, 218558440, 21706166, 181206896, 358295855, 276665638, 359885243, 238473917, 456795518, 230915927, 43926663, 158340429, 131478482, 246483403, 366367596, 222072816, 224293655, 108604283, 387050769, 284223888, 101805791, 383918735, 493112768, 336325247, 294054112, 480735791, 289748161, 97046756, 151252523, 279755822, 280866157, 250870738, 95514387, 169844003, 179632021, 199548162, 467277832, 51939505, 120390139, 159275573, 26950741, 83210035, 370801469, 381886657, 52951521, 295805653, 120804949, 430602112, 320640355, 99985845, 179154220, 264927204, 308771379, 50261639, 398501450, 398402471, 142243363, 320333250, 497673943, 151350614, 213879108, 403837732, 352078382, 157966735, 460461682, 262060713, 98750338, 186177923, 33334688, 433941985, 278458350, 53620011, 410757984, 293586734, 210190041, 418451089, 96515774, 14999804, 214559602, 5080352, 257284820, 78821724, 438776637, 482570280, 294181296, 477499123, 154805942, 78662443, 445536066, 424770933, 388965871, 20664401, 145011249, 285031925, 223716989, 96828404, 300573932, 18177579, 330312459, 163300628, 166356273, 143010814, 484251608, 347072662, 352795406, 262912263, 476745411, 76607481, 91005673, 118217754, 73387700, 249152080, 226462819, 312371718, 154412526, 7912358, 447927267, 229155788, 241733083, 252537645, 170781747, 439519821, 265968842, 110340367, 406869134, 477552891, 26735715, 382936426, 138548170, 465266303, 297726626, 108144264, 340505031, 200766515, 171365687, 162625536, 417646976, 475722701, 123242069, 285564451, 5917540, 166141237, 213944887, 221145629, 217436057, 151478800, 264031652, 444106397, 463080606, 93062661, 323756730, 396411077, 486675559, 395610807, 124444156, 279193836, 152970966, 493187109, 417755357, 307203910, 43664994, 76226983, 166372733, 264757997, 163138587, 58189475, 317924231, 175328864, 354234911, 444280496, 69440244, 334188297, 116675454, 141234606, 63412842, 109545312, 258645869}

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    {621282862, 920611273, 957323326, 534929376, 677766367, 698604626, 555441531, 887542181, 897610175, 739193573, 722313462, 741334679, 864382382, 876415059, 513075525, 682712724, 926772349, 698095709, 754288228, 952250835, 728770765, 601502854, 547982376, 907632961, 617095700, 689739164, 890947713, 510170460, 923729708, 677802509, 536076354, 742088847, 943140845, 591637502, 668260627, 955810105, 566220359, 840994140, 957917900, 591543441, 970437611, 690512637, 690808400, 767232969, 548370577, 900381471, 851207084, 810975081, 872544945, 943240387, 808427563, 861646007, 935334352, 784372676, 758497347, 849548741, 866184129, 691087014, 571349859, 550906149, 710604613, 511388593, 869969523, 872373481, 602253856, 954872496, 912259004, 781413203, 994319807, 724875618, 962980281, 902943220, 542398013, 677492608, 783679360, 777284033, 851266840, 593741461, 949032699, 547264473, 776574152, 718788715, 571148986, 632131142, 636938801, 571967183, 853122031, 824717770, 548009130, 773042349, 798301761, 812829065, 534556629, 654272984, 505225156, 530242702, 552443058, 561045625, 602248078, 613607647, 771909755, 852800434, 582775738, 973035353, 705268654, 725223480, 710535943, 899480770, 583433330, 914172683, 615568252, 811850450, 606393556, 957199489, 944342088, 816732550, 659120140, 822990633, 870097114, 802559171, 659125610, 902844953, 768847282, 738486406, 523748319, 970843841, 838399401, 860402367, 671649127, 966203278, 994877069, 735730884, 871927438, 782459919, 907684082, 850409990, 500397924, 970740575, 675314156, 612644396, 645799020, 656689057, 620954134, 995718843, 525867361, 765099708, 954277841, 905532362, 825981324, 988978622, 808982651, 818055958, 806140483, 690297735, 839754644, 943165354, 998611576, 888939027, 971039402, 611041081, 843175035, 646871996, 884256816, 847368599, 954051246, 933946015, 966417261, 930920450, 961961294, 687072884, 903437444, 685394578, 894948054, 676275304, 694620349, 911560352, 511071775, 556114286, 570896783, 544370559, 810664923, 925339750, 599987684, 755170454, 891493040, 569380505, 712034798, 703616170, 550145531, 859583600, 801967005, 671493824, 537928578, 812347305, 634561224, 808252384, 649969433, 901990185, 608629704, 553139301}

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    75

    Returns: 71128814328124245

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    {350186756, 239339755, 76564905, 254665582, 105878348, 111146345, 402239129, 353583714, 498414829, 335515382, 350366110, 325692996, 427857385, 480420519, 275729415, 25876438, 114379463, 363679582, 458004954, 272532109, 63890089, 317486070, 403178842, 421914057, 226005483, 125932085, 322604811, 309949247, 285236429, 221515167, 143441755, 340750076, 362930971, 131547131, 259305497, 321542279, 349804802, 330406486, 85819670, 384656880, 98264612, 308247366, 314876368, 278288353, 425095758, 9849046, 27753918, 263609810, 351650041, 148121081, 10481418, 180458427, 221952210, 16877833, 243085549, 324078198, 256946834, 109810290, 159029800, 103890505, 425042091, 464765246, 152341058, 108683751, 186264657, 364750478, 415242717, 448256156, 217893155, 444890134, 293572893, 88990566, 123592154, 9775234, 238713381, 314755731, 394901739, 194394514, 343651935, 478280383, 188603845, 331974098, 144369350, 50930517, 79111920, 303092302, 461995026, 484739440, 119369468, 283496336, 148901768, 167177106, 397979720, 297993184, 345112533, 231853022, 129842423, 403692766, 353526312, 197602023, 209145097, 446641251, 123491244, 293731770, 120825541, 284322456, 422150511, 472171458, 165932657, 300383635, 380126399, 371275655, 125098468, 130385269, 122564047, 55260551, 245163779, 312023770, 483901050, 231281807, 284860707, 199393282, 315679246, 110093234, 373217054, 379355346, 145109369, 278422783, 437639212, 485193811, 377028642, 185375780, 188906478, 220662028, 478442911, 242525925, 400885837, 206392159, 326530461, 304293794, 132677934, 483680066, 480298515, 159936114, 249064589, 318747884, 162523102, 479998776, 78980787, 162317448, 248539559, 392829728, 299846685, 207313939, 118860979, 285201562, 39561796, 438671696, 10669267, 263144478, 75688905, 250466947, 152806487, 208422758, 311586006, 320907254, 112592092, 280082146, 296951581, 219452132, 413771971, 244997039, 124223123, 331034400, 169155605, 10188845, 23947245, 175231828, 189984917, 427484408, 433712098, 205188718, 434264056, 161203991, 268907401, 141084279, 73339940, 127263589, 277494727, 281983343, 342424159, 452414380, 346544913, 287385817, 50640092, 278122183, 151400019, 223756329, 161085429, 314164596}

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    79

    Returns: 54158271550682628

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    {124105379, 490591925, 6143412, 205924985, 106527874, 474435926, 21038021, 381579059, 232385322, 280806536, 277329060, 55960705, 200100621, 256311957, 124367378, 116241095, 347540993, 159348441, 458221100, 370323112, 62578553, 292529079, 353392066, 334604622, 41957205, 168451841, 88628207, 325013739, 138021245, 347911122, 172157156, 450547577, 44832894, 6303467, 380485724, 495681222, 78763411, 212332527, 51494546, 404323248, 435761871, 304738202, 299646320, 272976037, 96350835, 470917666, 278395272, 170280073, 408756687, 23257183, 19096453, 412746725, 149812448, 67164959, 201414172, 219689555, 490924300, 85495469, 28660595, 220052626, 346243476, 262899752, 22156978, 258163949, 188020696, 324623621, 458672756, 294572955, 264680144, 177963387, 450782718, 137293868, 473664289, 343222233, 377941086, 182191224, 493000199, 372964226, 244772155, 163382782, 105368934, 58552626, 101214244, 361727119, 147036782, 217772609, 438244976, 74321374, 437312396, 145112212, 132681824, 159097611, 419198739, 200129356, 63818806, 110427314, 75312777, 126294904, 49902381, 295150913, 252218915, 50419669, 471488514, 8909311, 193961131, 492266868, 85680980, 223077292, 310997149, 270633169, 220855263, 60407038, 48471528, 28190341, 301902093, 447840346, 241338358, 483619217, 253617706, 419907880, 30060746, 293792724, 407137855, 5442747, 375444704, 238390935, 316688157, 104917911, 34062614, 235068932, 107539038, 395190121, 438804860, 207089945, 45324153, 305571609, 45285318, 59055088, 273892869, 295953052, 345314677, 443333722, 82210680, 477680955, 49522069, 413139851, 361332801, 425484906, 372783967, 300423994, 387248125, 37258718, 286096873, 206408341, 465070242, 374025594, 274554332, 493419271, 405730610, 267918011, 335608890, 329076824, 317217244, 70235222, 105389331, 41824291, 244599721, 169632630, 14964111, 147559270, 372540360, 274714095, 109806180, 159919642, 309219101, 234614205, 340206600, 397069772, 89757883, 20027173, 19914492, 150858439, 403224157, 129220602, 409939321, 414799590, 495857747, 475106676, 83192728, 363369853, 59307569, 461613771, 57158578, 244303667, 4450396, 408806076, 401574904, 24981318, 107452509, 25207798}

    {861695999, 813954105, 932824448, 668951506, 886773134, 869849446, 705599260, 954073584, 943751702, 932696730, 903297946, 610182143, 713420316, 950608597, 595638304, 612278420, 948804030, 545659305, 886959327, 932555236, 814145460, 599895118, 731255604, 909247141, 744283468, 606478817, 549152851, 948079927, 834901026, 587659181, 888389123, 803113815, 881558779, 960272705, 514196965, 951179681, 591866983, 903536595, 591612112, 963325573, 734994628, 538562093, 724585743, 606564236, 722352202, 622477654, 827078327, 722308630, 652590138, 804868018, 520234353, 963328662, 512992556, 844892322, 654661061, 907403895, 597420180, 512261972, 615755125, 947199246, 880580507, 689737024, 842743334, 866192493, 832267846, 838406596, 805391094, 741843441, 712489559, 599706581, 582073583, 601936521, 818404641, 646584478, 877351230, 860166868, 802830243, 706190222, 915340270, 793539252, 722441312, 543140577, 632391707, 715042317, 959862066, 956523793, 902853548, 818931066, 884781173, 595533479, 826250347, 732603818, 678887263, 793156069, 746343138, 546382801, 800394855, 669276261, 845204436, 701287591, 869170528, 877396665, 720959978, 953112942, 871146689, 519133084, 703822645, 615769892, 713402995, 767083822, 907329216, 782244884, 721013520, 549440915, 838044487, 935205573, 573715972, 685107097, 510274834, 578228357, 741846188, 613066553, 775347857, 821056307, 533530998, 993273760, 919204318, 998558070, 722907400, 875075842, 537967565, 811256373, 826786291, 545993931, 940074842, 964709567, 562359318, 746321349, 729393525, 603561031, 547473026, 757162881, 745336628, 993039175, 815757136, 776831749, 594000119, 661276075, 677770852, 569009403, 989073932, 659083363, 984964403, 542549851, 822955766, 962820470, 809171876, 622770662, 788762131, 749642767, 572376284, 502632512, 858160612, 935574272, 834121127, 665012359, 725397227, 748074864, 632795052, 628371576, 794443685, 871421545, 812682277, 624956507, 598578550, 541788588, 668354136, 909150905, 926573571, 533642650, 704053911, 682138565, 585385803, 935585483, 661336541, 785322199, 644653179, 753935255, 728387108, 614897640, 774807573, 873804241, 997870028, 855583013, 634784615, 916350462, 643608076, 752903747, 843410807, 819505997}

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    51

    Returns: 108864554471846250

85. {207753704, 78718937, 48925882, 375905520, 18534361, 472717180, 280633298, 99317325, 152954883, 475424300, 109391395, 183309439, 94518608, 236428699, 364407929, 203035779, 21728935, 368278620, 200846076, 259966613, 173311309, 419925299, 7870425, 216307372, 158359571, 206564597, 41064024, 199463780, 329998015, 53525850, 102209984, 343237161, 201712039, 324684511, 485572019, 429808774, 72786757, 156808675, 288602301, 431627136, 420294979, 172856698, 217759555, 497075136, 478158528, 72335061, 282676343, 369490098, 265816583, 424256377, 322850992, 486617675, 33546511, 164819679, 487795082, 104219362, 386326901, 66614012, 138876103, 260325887, 132738051, 353359901, 348457153, 439294531, 367520476, 167604583, 203655526, 387105626, 360424626, 174658707, 210912538, 15212918, 175435835, 391510701, 360768569, 62203467, 274000546, 202871331, 53277342, 476414332, 191917617, 131979888, 31695727, 286526963, 433982046, 43560797, 47903568, 327837902, 64847198, 463990463, 156488187, 201401213, 149428810, 237249002, 2044496, 12121605, 56528485, 393275812, 142341354, 427604293, 431738560, 83399201, 424949097, 273706745, 2806758, 265874231, 154488896, 212065152, 283562178, 422380503, 72805142, 205436635, 418887256, 458093991, 341244558, 77408805, 314513463, 105194077, 453749056, 51679512, 289773456, 153615895, 41865866, 431440194, 234112776, 33727058, 256832589, 430964682, 145763089, 434452280, 492260701, 461152791, 284558024, 445180458, 429700322, 260818809, 164906859, 246297205, 196036003, 364163045, 431894606, 377099168, 334097538, 280288001, 100617276, 25391, 179871343, 264136493, 275408466, 40632241, 463981540, 254711746, 443916933, 285944491, 56627016, 474592188, 126020704, 273234154, 213659522, 41953501, 307987975, 123886221, 291849033, 13732838, 37753262, 416110774, 385756012, 446100902, 55642349, 308509500, 142413479, 486801296, 287601318, 399950035, 98986366, 60291749, 385949952, 249632964, 233474955, 475661693, 175264096, 192296518, 430791519, 28049313, 86172864, 95868695, 174865627, 161804517, 257655665, 269847769, 29769588, 481438626, 484870960, 128652748, 376606327, 118250591, 272825843, 206501187, 382484292, 492490103}

    {52609031, 397818290, 486612029, 395965110, 499573260, 245196968, 165532497, 311912428, 240698390, 148563183, 476060887, 151811850, 232385414, 435250134, 475442314, 415283830, 22650643, 478557106, 285281498, 88657518, 355556314, 343185997, 401565258, 38478870, 2451271, 244745360, 297939236, 93732615, 18862569, 356456520, 456965689, 475266848, 446255205, 366456142, 280137517, 3509306, 89020345, 225665563, 84948222, 468498283, 269793227, 62405072, 326581640, 388591622, 98402413, 196949249, 42963228, 126498118, 115715520, 145347302, 363553379, 281002866, 175178381, 381060404, 171415146, 18623380, 4961565, 149219613, 379402030, 331569943, 37265125, 323370398, 214018389, 136309312, 448251314, 484351675, 347459792, 486285562, 11118973, 425784570, 435519664, 102073134, 386940452, 395767527, 107460515, 274886513, 246843336, 74312525, 186787362, 108259607, 123199160, 407729420, 80121004, 486917331, 130635558, 48038327, 316132020, 413052606, 293391713, 268414949, 358607248, 292885415, 131938517, 186171768, 363647408, 69633598, 210773352, 385521888, 304071340, 476249469, 421905981, 389239679, 294592933, 323767299, 422578014, 16116624, 274936828, 428250180, 368745374, 232331541, 130033340, 2397292, 326821690, 71624299, 107064067, 125785112, 1905075, 453046494, 118781505, 420835050, 296458044, 150152293, 202495212, 430801394, 380750663, 257853451, 256512640, 411857402, 427168726, 64249692, 277441858, 131957793, 114391435, 42812335, 62803275, 357488927, 439661794, 112214462, 178503796, 337850235, 89978509, 165352188, 426851977, 491790601, 402831984, 12537750, 132564763, 201165074, 26855115, 162998489, 29155675, 240420738, 192924665, 277388265, 436322570, 495257332, 398858744, 282296288, 481805992, 275618597, 46108785, 253996092, 25207403, 246104645, 226356785, 334328460, 151701166, 39906919, 285193128, 184917643, 215901715, 463029917, 237418456, 475848112, 291130530, 102594491, 411696091, 9924344, 180827828, 292968004, 187768291, 357356734, 438308365, 50397230, 21426086, 96399550, 352089914, 89555839, 84618298, 212667722, 149768186, 2222080, 381533091, 464809450, 424765139, 37121413, 241103944, 123897734, 497402877, 304221985}

    {865309298, 513977415, 634682198, 739319629, 693612984, 941538550, 708806625, 512570492, 538305123, 992962245, 701600089, 702152907, 880702928, 686724789, 595346336, 702724697, 532155471, 719644712, 937859204, 875582539, 874547986, 915736992, 710698866, 846112469, 769090775, 677755932, 792054000, 886617504, 688071928, 877214656, 921623808, 736745531, 852248889, 577467102, 995268278, 839993195, 736629323, 958983354, 546483428, 955427817, 872942447, 899801826, 677446842, 645799600, 583422305, 916138570, 904066589, 714484894, 578801002, 869949662, 565393053, 798992368, 759261972, 927836737, 907795174, 652018279, 987987465, 871169850, 838338366, 644967899, 594709424, 846822642, 672445099, 528537834, 686966961, 595534966, 533762847, 670992802, 679634798, 710052370, 665118818, 966279710, 730998146, 987002300, 525713904, 933456322, 581857204, 524959969, 558054754, 548630061, 962010536, 852494879, 895668060, 567818166, 687436399, 720735804, 890779703, 889348018, 634125762, 600220617, 715484497, 808700401, 856548791, 868199018, 694876217, 704976934, 660863996, 877263694, 989750807, 563571925, 976346456, 555788355, 547354052, 903911963, 966181717, 862230722, 514265784, 871692925, 953185004, 679578280, 526691236, 814776891, 662388787, 757789333, 867224915, 986890613, 636648116, 948537726, 604308251, 766318421, 734154432, 758118427, 724631100, 904009843, 800710020, 822471493, 530557739, 947345183, 538941332, 664685813, 653323206, 737814236, 587214445, 994932757, 671521583, 913420393, 710078790, 534139037, 608407447, 995933134, 882676593, 985284026, 753606135, 909338746, 873415006, 943750513, 858578632, 976116258, 901484533, 843412899, 780455184, 588921613, 916365536, 877581339, 955667480, 824550518, 588183100, 591195698, 661308325, 695948200, 738948437, 971507027, 961916259, 825606287, 518560925, 947598453, 601903619, 762695994, 551250267, 739329618, 838086898, 813189182, 523222481, 752345345, 924397464, 953919223, 955918402, 945883951, 865617893, 995104028, 868164569, 632514697, 554841659, 917045012, 782444697, 804665722, 770114667, 623427355, 891168679, 750525148, 929165095, 500528226, 988016108, 950849429, 830673259, 930254223, 757656932, 809463946, 530819685, 727500017}

    {579304886, 813246714, 771652411, 599309091, 792882043, 703564618, 625001309, 806949248, 729114140, 563264526, 922391636, 503597487, 838627368, 728642237, 957892604, 801043155, 862852403, 960237471, 571409199, 716945100, 975260685, 895635334, 536230759, 548464769, 783949291, 605818116, 805852218, 913407974, 831765763, 518213323, 666844455, 816486364, 945598354, 522942889, 887308158, 928680006, 513868494, 992363754, 656955740, 752854087, 852914163, 515015980, 648843855, 759997499, 654409943, 780323931, 835597425, 737475829, 774722825, 689244263, 641119954, 878667795, 658921931, 626403041, 813011545, 869097303, 708532387, 955381925, 883722648, 964950863, 976584816, 519754785, 529593946, 506841265, 533718206, 726720807, 766323310, 587207441, 969688557, 588516275, 686367318, 767355733, 976111649, 623098344, 705352834, 962134593, 951841141, 916307577, 696939384, 896719116, 930388646, 678199458, 790764048, 746714761, 590133624, 802449828, 685496558, 835427531, 817971633, 992256949, 902370743, 820352050, 522493220, 753335836, 968871338, 651060940, 615767831, 897761157, 673357399, 538723564, 861801828, 848198829, 745266930, 791704765, 564378987, 965957045, 928910878, 791563436, 706439268, 650575991, 938393670, 577525544, 855603070, 969321432, 939967605, 852088363, 851620357, 599589804, 756380810, 928943613, 678394858, 753583551, 870231505, 772408841, 821610122, 772867114, 821597639, 715113958, 935255407, 803853265, 554729448, 773560243, 641022088, 965377432, 815829303, 556744204, 855675697, 941236691, 925869307, 660185894, 938943468, 543935499, 764962019, 783063044, 501023370, 843014194, 928248103, 831611902, 855296558, 830484945, 703681897, 650611089, 650645701, 599991312, 640230077, 554702034, 889641945, 954931196, 750181020, 598815464, 739295099, 570541753, 835031689, 869002740, 615216276, 596817687, 582469520, 731985532, 825659882, 621954481, 886373377, 575255540, 876677416, 725543674, 753214326, 678484989, 723753256, 647848491, 576337138, 811757082, 760028941, 877844971, 854432549, 543466422, 991496321, 625337831, 626300010, 962570528, 708258805, 891774127, 672126069, 507735559, 513066469, 696651326, 910230161, 972874127, 760436854, 863190643, 641406337, 855166012}

    97

    Returns: 38748641401029238

86. {167506979, 344485238, 285454181, 383287649, 276120459, 227038674, 102394952, 203933653, 456597926, 478015290, 317685280, 108770233, 112821786, 160293023, 339456639, 308562363, 303649409, 297238128, 405885117, 307955653, 69852249, 439074748, 177018380, 32618726, 17895238, 18810789, 202408527, 155760718, 255108879, 189884570, 95985851, 29352594, 100244611, 85983863, 462420623, 128957590, 418510618, 93083001, 115357702, 405566579, 399700785, 195060805, 391857063, 441932553, 326553589, 493752565, 190191442, 315472882, 85246273, 30036967, 383784259, 111123434, 79948508, 289750624, 481196588, 70871881, 205024615, 58519396, 115515927, 23418459, 9812076, 356247812, 86759345, 221344811, 327597180, 331997462, 397222932, 492413032, 419435782, 305415420, 373661208, 476922588, 28261998, 132421289, 239416452, 154534861, 415895815, 73408150, 103635687, 309345189, 392247563, 10126118, 162994074, 142580945, 407814441, 492561610, 480401715, 464340913, 195993224, 182889982, 136356979, 292981627, 495563628, 159644049, 353808264, 406266511, 64682604, 366051237, 110331376, 78757429, 323833940, 447221223, 86228402, 120528249, 337391398, 28344721, 91665593, 150998412, 485217040, 43778554, 456032689, 350750755, 412144636, 123478631, 332308817, 267123905, 159398845, 132282718, 421771854, 62146548, 199816361, 410346703, 200265670, 156948309, 387702860, 159292621, 210309147, 65227149, 364652008, 389404438, 215732280, 196257378, 67695983, 99148652, 300388172, 456656158, 251648377, 41449141, 239671348, 345101574, 365700849, 394569409, 260959821, 224141866, 398213048, 448388536, 104354826, 197643542, 73124873, 252473312, 72816522, 135679932, 358312422, 387504687, 447028124, 164080527, 71236254, 479064425, 10518443, 229833641, 444323918, 498390952, 369317688, 268425574, 241739054, 447589381, 446877762, 177628745, 438513254, 59018686, 366941517, 206868513, 149212369, 115951650, 97684347, 291983358, 320027809, 373061832, 459379252, 11125731, 489786469, 136509262, 257024912, 301612053, 343654818, 368508355, 66844564, 195343632, 361351587, 482482624, 323778490, 292841882, 27473345, 93432957, 381428148, 187061431, 389137619, 23724954, 8935325, 423808043}

    {134707219, 163403947, 377024058, 65784119, 428802380, 369632385, 374662015, 37669028, 24890362, 25482478, 247681105, 164005508, 211005675, 391957603, 13191551, 465863450, 111003344, 447431691, 351482030, 396954178, 284484650, 124759101, 157438567, 347416292, 233082445, 295873010, 17940742, 230221957, 114579146, 395327421, 171799476, 88093123, 290572338, 173355590, 72410543, 217294980, 136819326, 458303586, 467698624, 61887225, 201955989, 72448380, 399808655, 417767220, 276695162, 335782929, 217190754, 116904130, 247811237, 100106260, 386403789, 335861744, 494400521, 323582547, 103357668, 282587993, 300630030, 471641788, 342308477, 321593473, 334198869, 275988681, 404526653, 136091706, 157228662, 318805536, 186632770, 192356469, 586235, 78519752, 464240483, 317269716, 429356136, 334914041, 293903013, 110647763, 421816506, 389784705, 258379168, 69236067, 376615530, 21737241, 206571758, 232498186, 329082904, 357668726, 352047714, 468013734, 213548380, 409636233, 234445867, 183394802, 276459417, 160316404, 256741260, 239835256, 260401198, 325732671, 128149200, 175950974, 144381578, 194530954, 9010786, 474825439, 57003336, 245958982, 297974784, 71445903, 55434062, 383854995, 182924956, 385993042, 490099777, 300709513, 272696864, 430098405, 23320015, 295954106, 361042615, 55053833, 19233156, 259656174, 403207397, 142156247, 55177798, 165200532, 260866862, 168614067, 272493286, 24919917, 29197928, 413754783, 166136918, 283451527, 366224679, 259629560, 418579497, 181054560, 364625588, 324876161, 282928521, 7774899, 133486459, 219232027, 446388348, 150889400, 445719807, 128682330, 117688819, 63017224, 442541732, 334817818, 465232619, 481147745, 463561739, 400152517, 286815800, 441196512, 211868341, 412442125, 47431243, 123413599, 25778191, 54381202, 476443057, 265557631, 114353128, 100266991, 246857644, 390275436, 263604428, 226164424, 8886507, 408509932, 187813851, 20446373, 288868438, 384508214, 327893807, 305896804, 379950312, 144916280, 358480613, 487152706, 129719399, 30788192, 355160231, 216403727, 216853340, 87143760, 358920732, 164223094, 162309735, 337952657, 401422843, 171499020, 390101762, 105503400, 378137454, 363769493}

    {554385836, 933561739, 664034162, 594021605, 619822203, 696614235, 626157552, 575047865, 939584315, 839732428, 620939891, 968360368, 966966166, 811121765, 905756678, 896491822, 673296802, 948807966, 846089949, 931559310, 860681331, 519382222, 702257753, 704078724, 540061498, 808927528, 690073130, 668343833, 860228701, 590087943, 794571802, 665206261, 985721463, 761395624, 727203371, 978185706, 834324995, 545416370, 858411453, 724799698, 892578319, 937867170, 547043696, 989412910, 532829798, 838812014, 983120677, 757532696, 525872204, 975914182, 991329042, 926123167, 729560292, 746284488, 768775933, 752557188, 874979666, 893545311, 727697712, 538025045, 721464052, 889385667, 715707470, 671421942, 583791282, 991166428, 721058131, 953465523, 699329433, 954067272, 667947454, 644104464, 687247543, 501868789, 896918647, 641706489, 522290663, 916856703, 997264993, 687610513, 837762949, 659071189, 971705763, 872992633, 651985854, 647435461, 896496938, 702819697, 745508934, 785219708, 850312936, 646738526, 941020052, 660011633, 666016502, 996126702, 886502054, 557834080, 595346246, 849640839, 602861816, 897696476, 881789690, 965157570, 773535230, 696287052, 721170119, 844357909, 980113523, 840907501, 555509932, 821101942, 696461719, 855116918, 819494491, 578798498, 748443858, 776300873, 679403032, 901295278, 638066244, 715081357, 892941223, 609525337, 594194551, 849827672, 603805020, 800242868, 570201488, 805318724, 826768995, 647243500, 699000201, 710630444, 923564979, 883930851, 589236836, 874529786, 537108776, 783792851, 903903631, 942213377, 638872858, 676912306, 583499424, 665671950, 725705138, 702297322, 549595365, 866479138, 705925619, 934476212, 645421631, 988984820, 870134726, 836478265, 901058485, 522478467, 889254062, 876896518, 796222821, 600627800, 699014410, 724938010, 893457308, 650453414, 593042523, 754059697, 661386542, 832067257, 602453988, 860245786, 683172340, 753454877, 603926141, 659188219, 637069031, 718175525, 880511789, 928475706, 515153138, 993028914, 709071578, 531835270, 655248966, 948410318, 906188624, 966241830, 542603986, 756368224, 884721134, 865436710, 714104790, 613366023, 719879416, 882022398, 653801049, 661586042, 971741181, 590585955}

    {824129211, 510330555, 682263519, 651428025, 677697049, 915210172, 790188969, 573760214, 845785410, 977272206, 959806991, 580780485, 856080236, 623015694, 504301538, 957607177, 833557380, 503419223, 563106150, 589484216, 905021772, 911728925, 694452588, 522929646, 685822480, 872990521, 542468324, 735429572, 937017525, 515512747, 604914169, 635087365, 970712607, 967428077, 704423934, 829212386, 855177653, 500466114, 834134050, 648493952, 537180148, 957341915, 592320358, 549898615, 698530812, 783858545, 918049950, 654289144, 639051852, 753513153, 523470762, 885602460, 732849409, 659284984, 620307526, 952798367, 986490623, 525981778, 623393034, 935053036, 744988041, 520883063, 925881371, 832609175, 968545048, 646263736, 848424588, 758799128, 596149138, 878426657, 659620874, 990710260, 963926756, 867093622, 860206256, 566376338, 619296324, 734243296, 561056741, 531431946, 999511964, 946576123, 728953147, 715261889, 898107861, 651750260, 793383345, 836066204, 892047313, 941465696, 770523286, 795995339, 905601530, 662654136, 658446819, 617204400, 889066199, 692595667, 891874878, 976096132, 726432790, 608405563, 735781765, 839213704, 509837622, 530438789, 659562376, 723918741, 820726999, 875550770, 838313287, 944767384, 878313035, 527246822, 740350799, 785073164, 860888857, 931397714, 815863545, 922340416, 995466545, 984454331, 821382866, 573307088, 791267323, 952189167, 542888017, 923418909, 696821037, 531393072, 861763323, 949220675, 986386229, 744798684, 714575513, 889609824, 558433345, 815534647, 721249906, 740310204, 731384528, 883871318, 906092087, 915144473, 832329700, 561630962, 944361172, 777034027, 602736973, 607342849, 705294062, 930472148, 663731757, 837460715, 770667201, 827589228, 784038947, 902423549, 884352647, 630998522, 675709407, 739600530, 888632069, 706047503, 852880900, 730245628, 610563606, 597081543, 852887976, 678253791, 745817205, 554758785, 535034915, 722744129, 864025995, 769539049, 837084983, 741314895, 917742519, 568146349, 855073687, 616086146, 937763609, 673222726, 939688012, 629808812, 899690881, 691061943, 655808440, 790075778, 741487376, 618797167, 813673929, 650109501, 751300115, 954003548, 529935495, 881199817, 977711147, 983612633}

    117

    Returns: 27744357478894756

87. {471303073, 454929559, 8195313, 38305514, 306081181, 219630789, 100726096, 178256650, 316726125, 55040824, 242349805, 462408573, 250193015, 487504850, 174216823, 152408282, 138244767, 456197873, 430436856, 199147054, 434446534, 217644013, 139994818, 209428745, 206807877, 211484522, 256561752, 950109, 60857584, 260277770, 239811585, 139897514, 416330674, 185790982, 172035271, 130589319, 106499604, 360738268, 347278189, 211843572, 277764815, 27362301, 203324778, 280401947, 302175965, 291536754, 459082899, 274462778, 371091418, 448704867, 283502325, 276970509, 188727115, 44407976, 267993202, 451188823, 402274688, 409468628, 187559294, 432147306, 273948220, 326327266, 289299159, 480647563, 346330921, 142526157, 172575750, 262506535, 495853839, 113426334, 240079825, 72065659, 393367088, 465818873, 343598402, 110865330, 74494374, 233088320, 43233824, 327871564, 298495139, 10646543, 302303734, 68703565, 302951635, 467087310, 307647070, 287286172, 40420626, 322850812, 379412366, 226276513, 171832985, 300495884, 266276530, 349632632, 419021397, 146184495, 112439403, 402828119, 360725716, 134703836, 98252958, 323855782, 239880501, 128611435, 389990069, 472780018, 189403554, 28243313, 297480450, 28819811, 13552706, 32278166, 284532048, 147441223, 480211888, 6508869, 54866561, 134292638, 326520626, 246126558, 402977360, 235044654, 441671441, 312662586, 323918214, 178978595, 373714724, 151738314, 414776417, 74720790, 352930757, 446189859, 10080773, 430943518, 448114678, 341960869, 429689158, 475317361, 315624770, 441275569, 55997054, 315767531, 120465381, 168316480, 201699463, 448919991, 380732216, 134455377, 395060290, 283450534, 448461987, 144353659, 382911307, 428681482, 404908144, 145723502, 387912751, 69589110, 483465996, 56224663, 341246131, 196778087, 75754165, 371684200, 256576355, 126220788, 344955900, 246891948, 481435779, 423259531, 182713982, 224374987, 379103633, 149245332, 280768937, 168679874, 315779869, 348235176, 167445665, 249620935, 206240003, 346424822, 464134765, 111857344, 28873746, 136749619, 483577615, 5501054, 188984372, 56572520, 110129266, 416337357, 267120002, 3491674, 387761392, 245789612, 171248947, 139948652}

    {135958708, 212267736, 386299429, 305258762, 224334127, 29880937, 342719073, 264908315, 79573427, 123654491, 43044237, 433031078, 252998688, 341606655, 480395130, 286487477, 68978648, 110850436, 186554138, 320776428, 498517291, 453665582, 255321037, 389002367, 194395242, 389265189, 122722928, 363420025, 61340752, 422156897, 31895513, 14831412, 471494520, 464584342, 214824513, 428419371, 336158649, 104755020, 499847257, 276644104, 404986671, 67480770, 322702972, 229983117, 222743774, 348764169, 28836599, 263479254, 297192489, 378461184, 298836796, 414297402, 2285552, 218085165, 143657883, 247911978, 278700553, 442829631, 325436936, 380851715, 188792767, 189712419, 56951215, 386189097, 240680291, 190869437, 122389812, 442838810, 45251180, 204796254, 33919308, 32093108, 303506798, 326649790, 458029611, 252261418, 304996141, 267869322, 493454328, 70801257, 129603647, 18491927, 420864713, 341574467, 495474850, 54821528, 300946606, 146886517, 471560065, 362247907, 469523036, 118008373, 311437934, 327516394, 28083359, 406573335, 182771088, 6097794, 447617911, 366137353, 236769346, 102921793, 373664732, 256176614, 488855396, 86271474, 331882534, 226712777, 170626364, 180947773, 210247882, 281817361, 262323004, 54355067, 223086210, 485790892, 6824622, 141044649, 88591000, 323287213, 134629449, 317261662, 417191212, 55242104, 32271384, 140745593, 352934652, 478385473, 73085177, 146908836, 47304635, 491249316, 382968496, 429144094, 209860002, 113865768, 403754392, 51568895, 32637484, 42428427, 113027963, 24870897, 139172650, 486892756, 150828667, 315681480, 408340570, 153279623, 372538988, 27193256, 159098277, 307870819, 302674699, 290261822, 158706033, 220315420, 343034852, 156706964, 408170249, 281785233, 157791200, 293851018, 233520079, 447341171, 296442011, 304010322, 429571947, 199073189, 18117589, 275986757, 404924058, 458492187, 339115136, 99264747, 14395724, 21420393, 352713541, 434664047, 368118781, 403546228, 119327862, 411197960, 240914708, 335430478, 430719287, 250372698, 142494335, 317965690, 372159098, 306537942, 143678372, 305309482, 19653850, 99614562, 452473714, 86466959, 323633323, 244775006, 115608708, 419778017}

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    {901088799, 809860908, 675944498, 779690614, 693440339, 602780141, 987663539, 881683408, 531151819, 668301089, 853948270, 535590287, 900431115, 637760923, 842497829, 584631847, 659159980, 549790891, 724207043, 926163954, 617597223, 571231523, 701933816, 987959428, 864755418, 688111554, 986733044, 858607067, 538635940, 867341758, 655040581, 856411252, 790881271, 756076078, 710430212, 588071336, 886946026, 910178450, 900167507, 720104906, 891695951, 617823341, 926958634, 512032912, 642986014, 685400884, 601768705, 627630039, 705257510, 840574347, 564633167, 974254777, 575944427, 627442788, 956699140, 808032669, 710105968, 613094814, 873048805, 944059086, 979036595, 635245630, 566183026, 547942820, 716939896, 717946825, 721089528, 997009468, 736000198, 502948141, 535147689, 892856629, 671590970, 630408650, 583280064, 676392376, 956581299, 941632459, 555109067, 830394398, 836910886, 633705896, 603506533, 614671638, 891605169, 815871407, 577796231, 554550015, 723277864, 969294131, 624477565, 900786929, 650671889, 579799965, 630194278, 775104418, 833298669, 962809198, 828803053, 801496099, 809907402, 690144958, 936909478, 809850525, 617259018, 712863043, 635415394, 988955295, 820055672, 566906604, 913039273, 526108005, 506474731, 705219170, 780086764, 603337113, 695349765, 550733659, 519833103, 994776776, 957322958, 526018351, 920325710, 662642462, 524133525, 887139629, 754950233, 810735281, 729782772, 929312526, 732929504, 936372713, 860236914, 563391396, 969721881, 527672066, 865590868, 606648664, 918053946, 559892867, 827781404, 978640224, 550924033, 599945372, 752950678, 752708072, 968669027, 976629440, 832154052, 726957587, 783016904, 807054768, 802612648, 885903679, 828451141, 879080059, 702557626, 750557237, 900957799, 560833891, 920872714, 510492708, 608951720, 539478984, 545646391, 938908029, 574784237, 648239883, 818551727, 988362436, 639659794, 677539614, 626531761, 694042101, 641556516, 565387522, 897892179, 724166516, 793519866, 610419985, 974525259, 604516387, 743153978, 702427652, 855676571, 583380908, 912515188, 872439475, 947353595, 584178166, 517594501, 768835951, 840409923, 677392721, 587550788, 996604388, 959160505, 934589812, 964531645, 689438981}

    181

    Returns: 1554554696830212

88. {448139932, 186577036, 496163183, 324722917, 271841543, 417701386, 191619304, 261728254, 491491830, 199062583, 429117145, 421434274, 245586264, 201526379, 158550723, 167441185, 343581360, 351548473, 322165497, 387786116, 148303506, 272815340, 408698789, 348697495, 345681180, 367964599, 453345371, 87021605, 422298249, 238398793, 78713785, 41790310, 430241364, 324784895, 389485112, 409044292, 94962365, 455440729, 290912422, 396143631, 435329272, 129555744, 319579076, 330850856, 57369896, 375726844, 294884062, 202257108, 330818204, 435499141, 242179342, 233192224, 170921624, 20735427, 190916104, 113619160, 436226139, 436539050, 354184324, 214027171, 395347863, 286110476, 22483674, 260517719, 201658458, 343737934, 251946890, 27422470, 51260549, 57864430, 283045926, 98530300, 38668761, 359491316, 72094693, 212188530, 376236406, 162634532, 254293841, 2296309, 341975446, 151548557, 363803195, 144784135, 393557335, 263915998, 93823921, 125786756, 89087121, 250626979, 85326297, 498703362, 390043506, 20877497, 80695462, 165983091, 378165997, 253921767, 95988852, 363564045, 405731844, 288671645, 311324029, 243074835, 335688495, 414988654, 179830279, 489092515, 418269020, 430355071, 475367875, 225950757, 171862069, 401106699, 399885463, 401831274, 214289726, 418005222, 154475176, 186728274, 136175305, 231856707, 438818247, 418555630, 39332372, 294268871, 470406063, 196277920, 327085612, 484924465, 477065197, 460958011, 323826561, 100995225, 425735416, 131324259, 220818871, 303876006, 268254704, 28602533, 33450886, 127639830, 374950894, 195459925, 397472998, 287299970, 432951466, 171860279, 436453941, 26687876, 283629683, 211079144, 180840702, 39944818, 109240297, 285010333, 482634938, 139389961, 202109798, 194202145, 309614523, 435374364, 441889254, 96752485, 209722123, 362784436, 127882967, 376207372, 337104152, 448430690, 488464673, 225130434, 81067151, 211618549, 229850252, 162034818, 426632278, 157693109, 51621105, 493486627, 3181713, 279621698, 311365003, 52500093, 386385134, 35210397, 161871273, 415034182, 454872163, 446184553, 211650246, 104965134, 131367843, 268485408, 54352504, 495081542, 68069847, 153373898, 406239895, 191442485}

    {375074914, 91917875, 155704734, 333763740, 44373802, 475913739, 4176788, 254339430, 89373930, 438591070, 477112433, 159051243, 51459598, 171017390, 471721215, 328143798, 478566910, 69978723, 194490789, 197242279, 446152423, 377575134, 45447321, 222766626, 191106230, 284028101, 299223675, 448237539, 499893180, 331090869, 495453129, 146332125, 383212934, 399924976, 129238719, 309879368, 142804843, 92416246, 342797011, 29100358, 153084191, 123808303, 10323529, 376751443, 4880340, 123066060, 122073465, 139959150, 357305475, 191693866, 253401528, 377555563, 263405142, 143102460, 410806028, 68583909, 7462489, 471153015, 242728989, 79036768, 109396329, 450626706, 309470833, 227172766, 220550182, 176428113, 410848713, 292694787, 166262231, 372637091, 262705103, 411549628, 407959221, 3426168, 258127550, 77920124, 420512053, 119679742, 486873898, 407953015, 59437079, 8291405, 321334356, 53138890, 175654914, 354046131, 80303495, 216644188, 450633529, 30769728, 442334186, 79337524, 486429902, 323528786, 35713808, 395330925, 313372375, 464396314, 287686621, 328038079, 402042869, 115469204, 237336964, 456534148, 186964001, 23457109, 112248394, 99502767, 398993675, 199711103, 70152891, 59948234, 331022990, 6798458, 158760782, 161141082, 445547622, 69746274, 291174717, 110544683, 241675522, 289574613, 71708530, 31674043, 25217383, 452423165, 54707633, 209126626, 20820971, 275912642, 488014882, 36140868, 374016765, 36667034, 225977812, 236688198, 499113316, 123265440, 31088346, 484159770, 53586929, 280764647, 452641771, 240156443, 297198389, 484595409, 181146465, 209221194, 14094682, 338113888, 402662506, 171013179, 350865225, 263412058, 201804865, 200793404, 248131697, 476123624, 90723577, 411516288, 93092038, 444526501, 226672908, 447920044, 369179596, 178680164, 46252138, 129686889, 333484921, 472301135, 323218443, 334505068, 444354808, 185218654, 70963220, 208486811, 303559672, 75721367, 368236095, 344130525, 73602562, 320755914, 466309669, 196451715, 83949156, 154839868, 10623793, 414280878, 486780422, 226704296, 368709801, 401188003, 113273063, 53940493, 299336225, 27545853, 96230951, 265782171, 478880843, 101531198}

    {623924010, 931925725, 682870287, 620309295, 538866730, 925451179, 513706885, 899487078, 652485474, 632696680, 863120365, 843324690, 717610122, 907013568, 857586399, 944706303, 967391981, 866461449, 826479765, 763157113, 778288610, 519513224, 914341324, 827215602, 973269534, 807610146, 750376309, 786056682, 882222562, 727551289, 849603626, 918330178, 826074483, 722647827, 892230498, 819155618, 725010891, 892430610, 647085111, 559923981, 558368614, 856771432, 633188488, 686357224, 922681119, 804100187, 947508033, 987659398, 809197605, 771664275, 871514869, 545410417, 780744451, 669992372, 517819995, 539241731, 639739064, 562069804, 616745040, 943096619, 987398738, 750140990, 973027049, 558123306, 541739060, 540559510, 842503536, 764574222, 730412018, 538353912, 682159201, 802944949, 967984659, 867202411, 548495225, 890148572, 572081099, 738588816, 650741833, 605585190, 616342846, 537403857, 981363958, 544657614, 561017755, 763021843, 601169353, 694716195, 811642451, 577521787, 975981737, 835761083, 674901032, 632546098, 566005548, 629704744, 552487429, 636834108, 966746197, 621780916, 794424880, 515923640, 741109001, 655563334, 960305573, 949487675, 912128756, 816883713, 558343639, 631136974, 626126768, 723130155, 755381458, 967527370, 649852907, 592203288, 521694340, 844294888, 801229040, 580714895, 645981930, 741510364, 502617423, 778656873, 597378489, 782076609, 884988939, 846833212, 968839519, 509888416, 912125031, 922886921, 880262974, 843509532, 738230319, 807619194, 756891596, 866580433, 971462151, 829524302, 596593285, 615356315, 933175607, 989582035, 594496010, 760471822, 648859718, 604282791, 725141948, 932198289, 825110698, 612280109, 804179358, 817152830, 624746748, 722765251, 977759764, 528578161, 930622322, 978769448, 816535117, 573906235, 756307046, 875257507, 618047767, 755036513, 643608598, 600302383, 811156206, 798692929, 886056416, 561251489, 603227024, 621289704, 659460612, 805680442, 525637315, 561866278, 638866304, 940850065, 976348269, 585123871, 826448216, 673871678, 803848932, 822110725, 942460402, 788206862, 945715307, 789486257, 720324934, 551957337, 871977274, 657739649, 831458252, 569292545, 931841257, 763379432, 776558390, 794475677}

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    166

    Returns: 4734703362461280

89. {438335526, 408614957, 157995063, 479598080, 126002962, 279280960, 337573302, 238246894, 245668683, 142435595, 336804070, 466868178, 48069321, 304041222, 347583641, 443853309, 384978211, 85321719, 67093493, 316519487, 152441823, 250043651, 64585625, 174809054, 331129460, 367004086, 239267571, 291935505, 228370304, 426951146, 438980978, 22458555, 96178877, 71499968, 493468458, 120880147, 291338368, 445104139, 335226754, 290424598, 29378253, 475346212, 390585963, 291285018, 417973857, 380293236, 301574397, 21664146, 349811433, 375710263, 14597732, 479613635, 432015675, 480466014, 15519069, 56947898, 451054484, 119757505, 340729364, 438941051, 286357575, 280128791, 142696304, 302050389, 333900802, 104463912, 406819806, 360186321, 67308808, 399950747, 384168388, 131557228, 163013358, 21224742, 1896015, 275387819, 113825997, 312025482, 386094021, 336252615, 91858042, 1493205, 220711900, 217532403, 138974373, 382322459, 472727691, 99056478, 299610860, 349999527, 445337956, 418108411, 283938478, 344753186, 324989396, 238019381, 262104191, 476644594, 177880108, 273606038, 474425476, 30131297, 283054598, 8711167, 463375702, 212719224, 473688105, 308875905, 334149596, 206004222, 222397334, 379469828, 465116813, 155097517, 454737324, 164033792, 206585811, 336378697, 29638510, 48937662, 59144810, 74475144, 353628350, 89067338, 289415559, 131074109, 55115407, 112366175, 237409120, 206756920, 123335298, 293954309, 227596934, 279956900, 298244897, 151214331, 79519384, 329902745, 465523802, 388865570, 256659622, 358920243, 177471217, 451316706, 110730665, 353673285, 462688478, 192635885, 347401839, 36255460, 144007982, 43116432, 234666394, 447795778, 116176700, 115303724, 391480036, 492602370, 19244409, 372262718, 143847654, 2817736, 69380966, 379950897, 242240664, 479700639, 81060401, 492151214, 84052421, 182497142, 159635224, 371221967, 103891950, 482245755, 15542476, 419887331, 16892252, 365337143, 446895588, 122146309, 208332899, 43718110, 200661657, 231022589, 112878878, 186696880, 44753022, 112724983, 326729846, 275805664, 294888423, 470966371, 442522886, 272264977, 349608735, 479306736, 479004191, 84685620, 59071028, 187072653}

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    {603828191, 572984641, 778926127, 567918771, 714250818, 968856365, 544425333, 871403585, 583409577, 707344110, 868955514, 742012715, 853025038, 632462252, 947954510, 598218636, 613447385, 835603954, 644928141, 833619852, 727193146, 525046621, 657912052, 986983252, 707264977, 630118845, 777638798, 657423053, 589276002, 755802230, 632507726, 674846814, 976889184, 571680391, 717276336, 988821972, 595723236, 766801948, 696399375, 692181046, 700706905, 677538131, 685798309, 593179727, 551127788, 603964887, 926178360, 653682634, 773322818, 787645919, 943800947, 746562909, 736666627, 785275504, 528881221, 644614394, 937264988, 636047744, 706033818, 551423463, 531232331, 514704569, 894308966, 931041341, 678777439, 861404836, 613038440, 606463432, 926028771, 831877546, 753344831, 898487978, 791664045, 667831682, 697204463, 580954465, 842014304, 861132717, 522805801, 609643641, 729214109, 997093825, 783643863, 994601118, 729786547, 709869544, 932642483, 641480587, 582484495, 701790584, 886378595, 883001510, 521601019, 589717161, 888600104, 515395345, 552561184, 528920638, 681627533, 699618272, 685361200, 816740585, 765205364, 606108357, 772170361, 799273876, 730260743, 924676839, 988390099, 545273210, 898484844, 612506633, 525454121, 866079290, 918795177, 735721717, 817771659, 878113514, 881369526, 544109747, 743913801, 814011752, 967468322, 862015364, 926494392, 695365361, 835106581, 537997179, 526521827, 658013894, 646789985, 726430182, 939778195, 758763666, 983664052, 739597018, 762551094, 938563611, 577757359, 904544380, 690503423, 654076156, 691344284, 999623638, 651403533, 751556321, 782011182, 875947278, 706859981, 868034468, 974603803, 689809888, 882224702, 550033087, 692046397, 770694617, 611406028, 716707754, 637581530, 691973761, 670176632, 791483441, 795348577, 626741783, 869456486, 848721766, 544589796, 818391117, 986774274, 613692300, 814584720, 553832951, 823928701, 508836128, 671124931, 949231410, 756702870, 621253623, 921305590, 939176383, 977861553, 709935079, 795315238, 675431577, 953885001, 509420081, 936891937, 530249089, 710683959, 853949216, 584890351, 620412124, 941700215, 913467165, 891213378, 685570122, 558554963, 670136456, 711289081, 985656206}

    58

    Returns: 86788622433964647

90. {58010319, 439454229, 285662716, 148464382, 220319345, 44696600, 318990485, 382228807, 164678150, 322367457, 297384650, 32391586, 252463124, 238696567, 471454870, 207923602, 16057459, 72973584, 43702907, 479170398, 96020244, 316476717, 194504406, 339798132, 24728250, 295054680, 321150187, 51462492, 248849479, 4859125, 302312552, 195459015, 207898448, 79202127, 327874853, 388580246, 77219436, 361588422, 334316065, 114183225, 84914855, 76414168, 484361067, 279401328, 181760701, 321050610, 422987395, 344928833, 334742164, 220329666, 98571891, 342719699, 309353610, 454846282, 306283777, 470859985, 105198496, 145900108, 283546666, 329236077, 51954814, 47634201, 184033813, 268024403, 308022870, 275932161, 487618274, 61899592, 151204013, 277433659, 372827781, 159651310, 335904011, 430156652, 175270917, 258046833, 62458789, 338057159, 132172161, 314715171, 407336877, 370903238, 238160920, 272599628, 144574534, 91964006, 353668355, 285529897, 178149837, 209264807, 451802703, 113903551, 316876023, 287785041, 417548071, 483056688, 1193733, 59323014, 113863486, 362537706, 278316975, 35209648, 331004194, 452514113, 341917700, 310167979, 174363504, 105500889, 445441324, 70818353, 460392973, 17505188, 253203726, 362878636, 202620367, 216072309, 240910276, 55728267, 205746621, 216401911, 220413918, 179730558, 354306700, 435543162, 457642088, 8462195, 294965971, 317315942, 463788690, 114397475, 91869897, 284722894, 274602288, 16802094, 117259921, 25955633, 51998239, 473894548, 450175322, 461419874, 139699724, 267016915, 438853376, 287117084, 463825448, 150870144, 489052483, 154227481, 139446806, 147352221, 159516318, 217246099, 161948158, 175573647, 69710280, 129559209, 336429949, 61819481, 242528549, 413326348, 254904135, 432601887, 265440546, 435508421, 307550959, 260689340, 247320814, 42380199, 76569342, 51667858, 336899533, 491639481, 328654736, 184936270, 380614188, 490895786, 180380472, 368090202, 84962476, 213612239, 116002248, 422196438, 368652765, 42789003, 95836455, 93057180, 427306907, 33386263, 171597767, 145177898, 176799164, 279815395, 81706163, 337922868, 396230703, 169385009, 131107989, 71410875, 230484615, 281116804}

    {425688226, 129710188, 80187359, 287391056, 160003102, 461644467, 149349646, 26259813, 150247880, 129751661, 370628663, 17745716, 327342827, 464573430, 309544711, 88859500, 429443732, 391572109, 169508605, 303549036, 288143648, 57091280, 418324657, 62042303, 26498044, 87598439, 303308142, 249956798, 411463993, 149564133, 15654304, 154477737, 483713098, 143007439, 24845877, 308175692, 123913698, 300375010, 108593681, 242962137, 52727547, 424658085, 436638985, 160220898, 4701791, 464070927, 202957088, 242062056, 239242490, 454317100, 484171374, 467574540, 499351614, 294419428, 453214835, 313576202, 178196850, 438981707, 59382052, 326431812, 259988185, 77118816, 273425516, 460502094, 388314801, 17782845, 383875613, 318298257, 317238066, 267948133, 140298420, 341963362, 322016859, 438708201, 33063024, 47275855, 86720508, 248581854, 52369460, 407709016, 27307041, 380418659, 443723533, 87071517, 373195341, 397975060, 405283720, 67710691, 320022725, 40140326, 393305700, 64645623, 41236567, 69590002, 48383865, 392800784, 468998241, 274535337, 23717720, 411194674, 478342378, 26072479, 156595298, 108295704, 398249111, 221517382, 239678297, 65407253, 462439257, 13131617, 105785439, 199186779, 136403706, 44381775, 250461770, 475039926, 131151780, 371477264, 235261976, 38979015, 140572867, 117827690, 218163991, 139912809, 159345408, 254535640, 472906685, 289406222, 43382589, 316418415, 385713080, 212508608, 186251919, 18121579, 164708951, 389312485, 374086944, 191157921, 243455205, 251624960, 48635290, 263535798, 275139231, 123353202, 496261857, 377143382, 258458593, 350352722, 93648013, 441566416, 149129283, 161385040, 72682576, 464281492, 98445147, 115790056, 69273121, 407272790, 271315634, 301599241, 199468662, 277795172, 170420361, 249620160, 200044674, 370559350, 328119598, 379586825, 494784325, 163278896, 150245829, 235000908, 190814163, 241853021, 177630227, 394084712, 484333529, 247154120, 1471860, 301494747, 91173085, 260796905, 46927958, 286234259, 325143631, 292726015, 20712050, 406661143, 195293942, 93401770, 460954014, 471001444, 372435419, 184802281, 7060703, 277828532, 354065104, 462993487, 419642209, 160466444}

    {668925157, 921327786, 886052666, 700259166, 984506450, 895439712, 932378992, 896619464, 973263088, 795222208, 873962549, 738506511, 604189390, 663171051, 558718629, 642082923, 808931504, 682299917, 759939222, 965262983, 796951102, 772920368, 848786589, 719001762, 856351032, 612389633, 793541784, 761873765, 598111641, 846004254, 825151423, 504533735, 988639792, 709552107, 970467308, 610139560, 570487579, 935276640, 786261287, 553606597, 991162246, 805994057, 551137120, 839554877, 645750377, 937024162, 928461316, 632260319, 693438921, 587339675, 557302204, 851813360, 726769840, 908409041, 764822147, 686050465, 827443883, 906014140, 627207004, 757522445, 882527083, 569352390, 741322085, 760783980, 908389699, 556302068, 588990981, 964713962, 842077979, 537220677, 941729485, 966599111, 632610919, 601149606, 986527098, 872961091, 548332753, 780121205, 674181954, 730537264, 872640832, 758546638, 806351576, 741919846, 700766747, 953778994, 693736190, 935972546, 717938079, 631678130, 620005629, 806028620, 654704005, 560189508, 547035497, 907799489, 577026277, 878551509, 790927696, 689708991, 911490691, 873859782, 952614403, 717585593, 846677016, 718833829, 620838315, 888727015, 618198847, 648701771, 890826842, 866988035, 544828690, 856491639, 631617980, 824163432, 609342492, 731340447, 916451641, 792696294, 658628407, 729674833, 577184989, 682821344, 873941229, 791291084, 845756053, 990362495, 701132198, 823301834, 992998525, 505441265, 972780875, 771515492, 592559578, 681572921, 683963939, 542612230, 535333113, 940822841, 852053747, 988239675, 511835757, 734911837, 633713290, 748395365, 559864086, 999755291, 744355925, 808462818, 559164195, 903251958, 973913172, 746260181, 711020706, 838349616, 887878249, 728057820, 897802931, 963423160, 660803511, 880251924, 773657139, 853372461, 554927531, 987369953, 910861814, 782214717, 982215605, 835545566, 998985406, 872852270, 727500175, 546676744, 670889364, 877718060, 621008851, 741863370, 504982521, 949920717, 989737863, 725268637, 693421207, 934454017, 649367320, 773481319, 954167766, 805765324, 642010647, 761753597, 650839873, 559552946, 597138292, 538879759, 542240698, 932139380, 712599134, 684963914, 585997834, 862577566}

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    77

    Returns: 67576627534541739

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    45

    Returns: 136935756377778149

92. {268168273, 196397629, 271089807, 278672380, 248519495, 309088409, 74014738, 296826910, 363319965, 428028553, 402580968, 301870912, 143568692, 31733111, 153762850, 400896086, 164860757, 220173309, 380010018, 179342600, 396398934, 130148661, 253511226, 204700108, 156924476, 365113252, 483900619, 27754871, 212560615, 433927031, 487770380, 160745929, 20659382, 76664293, 7292787, 19628685, 55575443, 379219976, 263074662, 137521818, 492463153, 124219009, 124665348, 161151529, 44912027, 466327571, 372486918, 352215105, 53660359, 317547689, 391484503, 46799308, 8387503, 57994022, 16759378, 422968481, 483032602, 390521275, 380945518, 294539706, 89584998, 429061640, 147169677, 365990228, 344321182, 70716741, 196949279, 416988500, 438721247, 321887187, 480507069, 197243769, 307501072, 312312953, 495050739, 149211317, 324532061, 283365471, 15453216, 433295873, 21151274, 307848923, 63256703, 378014682, 22194012, 177966110, 241632656, 281064378, 485351987, 419422524, 186167462, 332008084, 294868336, 407427737, 237463953, 343600502, 37159621, 54243476, 62852554, 116798761, 166646536, 368828685, 385399046, 91008, 464663339, 163809192, 90407433, 12628835, 32222885, 1889124, 405302526, 446249221, 444043941, 237074451, 180453076, 218676876, 240587207, 234067154, 41759054, 270588299, 321926592, 142951029, 329744976, 252851181, 208608240, 188025176, 274223235, 99949515, 437006003, 322565053, 384876185, 487473357, 87476301, 420673096, 361529373, 61682093, 312487599, 363400479, 347499812, 478046814, 369754304, 396647951, 191827007, 381399108, 31458998, 117502250, 229763381, 439039947, 87316989, 271617778, 485441182, 177078538, 4215411, 75621841, 453562858, 330478232, 212573422, 412474356, 285425158, 248864256, 349098723, 26785242, 8529762, 326715383, 124505485, 488266431, 413216230, 231133085, 484856155, 242077696, 264450483, 415300859, 302100887, 5800080, 77169571, 62456663, 109392765, 255230226, 491393750, 339581703, 54254738, 458251361, 240930514, 185592100, 380591179, 179517266, 40729512, 373191177, 183182664, 390174655, 175874466, 48677908, 81892660, 307350622, 94839012, 202830740, 137822769, 450290966, 315860723, 153469175}

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    21

    Returns: 245558778721814136

93. {493851188, 487541354, 10298857, 342682522, 61113209, 350110492, 4711422, 227492169, 37530121, 309300867, 281188152, 126422954, 223131105, 69656897, 496643636, 70039703, 34664266, 186934910, 440562192, 303686910, 164374833, 198118203, 105424015, 15536156, 371935634, 457623265, 51538982, 238317797, 458211, 202648028, 400731611, 106881079, 232728191, 16946656, 119803429, 142871003, 449872730, 175616930, 77505519, 450394503, 59459598, 109924283, 251891778, 440065874, 55109599, 147539736, 393731095, 214773463, 221232085, 237765937, 438277336, 13094027, 386594553, 113767528, 28271030, 493135978, 390916390, 230880869, 302724526, 52292462, 125961035, 436141216, 60187285, 91502771, 79298333, 403879583, 388581870, 449803991, 31284387, 87679039, 248452988, 95521084, 227387705, 428405998, 481791128, 198181005, 193418870, 388701699, 243431083, 133722066, 211908978, 119720816, 90940246, 60763005, 8541084, 408621755, 203571009, 52675079, 378796820, 163161918, 140455757, 479077526, 328594983, 347200237, 58672168, 321988855, 487078824, 141061980, 196039292, 400040970, 320142850, 259106125, 304745108, 178143851, 298852081, 82304356, 323234977, 385732788, 12441413, 251139339, 194194284, 440302090, 444408320, 413562932, 149166614, 362355604, 254105398, 194370192, 373202468, 98565023, 179242267, 248956373, 14018724, 118780187, 462523567, 268615223, 355378139, 30387085, 181521499, 35104061, 4884032, 352279025, 397182103, 409371317, 148608208, 376034555, 73498875, 43265202, 277059946, 463328728, 217087645, 391746996, 80863892, 3297467, 379530690, 65082869, 231699794, 343245367, 76284235, 135249208, 433620004, 494503157, 150906385, 175884596, 401452424, 304545375, 314931470, 79623662, 181265690, 28779187, 245944569, 30810016, 194536935, 112040702, 365470553, 393592552, 346631608, 435102850, 440123433, 82978813, 94514417, 282387961, 131538740, 44989393, 171786442, 277616094, 341344105, 69559505, 294656395, 41438673, 171992142, 375085276, 137523459, 265497973, 170935631, 345548552, 5620493, 319414562, 199782257, 202213375, 430183459, 37804521, 160477632, 45892777, 241997453, 293318670, 456579610, 283663667, 167391440, 489563593}

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    77

    Returns: 59094013097919631

94. {210226876, 227520235, 474248509, 49701197, 403281606, 171110502, 448413866, 12090073, 260722138, 201069213, 300190743, 220825263, 373612790, 276919694, 107409642, 275996535, 161738074, 143210908, 408142991, 459014681, 454942546, 246867615, 300032774, 405793382, 463667591, 333070809, 369528607, 232737804, 339605574, 66853632, 26434665, 423408331, 376204199, 432210912, 288560075, 220416981, 107527697, 449983882, 423727695, 370885088, 282864979, 53848166, 479491159, 198037374, 385421614, 79152215, 120711572, 268724802, 496439766, 191271017, 455199042, 281241060, 346698544, 203803704, 494424620, 359396749, 334310060, 98381992, 324857864, 426291674, 402417402, 486064206, 200908374, 163721627, 225421613, 14041724, 313626473, 438617945, 201852114, 395283643, 367557412, 161322782, 490126611, 76369555, 237311272, 412252488, 452481380, 162234615, 377631282, 82658114, 16705572, 379502994, 130698990, 399729858, 356154853, 302826200, 120337481, 189646873, 27777905, 467226465, 210277717, 404127670, 433543445, 11552679, 213554609, 343107386, 280735833, 48812671, 48826250, 163742769, 408958024, 378678044, 436686949, 331231296, 430411800, 371136707, 430710421, 301823738, 194567765, 459799754, 286344637, 155829015, 151707541, 425186310, 419425894, 330141980, 236947591, 358538117, 350289328, 22996750, 85829621, 58016410, 76427701, 182003065, 280908469, 137260232, 267477874, 312834933, 391168523, 421770365, 282209974, 105801192, 186958233, 197081722, 185991695, 1773616, 422676393, 275736574, 425246244, 422454378, 396541485, 26334598, 184305391, 34575408, 123183044, 237567825, 243313401, 241593510, 139055124, 299252554, 167223688, 396092826, 246664789, 414779214, 482238339, 4899320, 178853288, 152915542, 340860625, 422384482, 344271223, 216051501, 421234131, 218058946, 19838674, 428188249, 28499885, 356255029, 155730902, 409378542, 465782265, 215465451, 142187968, 309494789, 113516740, 3664603, 80613735, 186703149, 53613173, 473826879, 482937185, 349099155, 253629587, 384637644, 283741581, 61959950, 369873929, 152002748, 147364807, 66854813, 118701949, 11674920, 357916198, 360859739, 141295027, 136472524, 415684257, 126236739, 131687715, 132863171}

    {476687594, 364392819, 72340602, 352709980, 168065952, 51137819, 82413574, 260157030, 407499068, 280097977, 11946942, 21771159, 445765538, 276037693, 136502870, 233651312, 132184549, 242458114, 498794453, 187793553, 320997062, 101825744, 375953434, 328932416, 356828633, 289812389, 154273645, 91969028, 40409287, 423464914, 56546498, 272507096, 490321959, 192479108, 115319702, 12154811, 130132898, 87658604, 170258511, 279658881, 295738531, 298791273, 259529177, 280251927, 391649086, 355000824, 317701730, 107221789, 438584193, 421001723, 339772294, 303683778, 420039966, 235741713, 193393372, 111448234, 460980624, 325272381, 385618936, 281962033, 88641506, 417189639, 199245341, 285733316, 418328371, 179666567, 235722166, 115008120, 410149833, 200865152, 2564152, 29395574, 55326390, 308582727, 462648703, 458059311, 51542817, 53086607, 346241267, 432506076, 494730453, 198596683, 489655798, 290152206, 137148167, 202265410, 304755310, 340703844, 183944401, 110154936, 30405997, 482071137, 358776341, 42784512, 115443455, 79756556, 346875893, 25752474, 288146267, 417299479, 498358004, 80062983, 427916875, 3990612, 409618594, 306605010, 302232528, 421750160, 28020680, 459799331, 118728027, 291310271, 356638159, 67576030, 358646834, 370063346, 211600720, 272019196, 89724686, 73058066, 344720143, 84594579, 483748843, 347006446, 287569359, 239238750, 487470993, 388063414, 297579856, 402580295, 83279642, 331343164, 106146227, 23146063, 465872007, 13086315, 78828689, 378626623, 348660272, 2078627, 488398473, 299055637, 372089320, 34404688, 224015608, 159735890, 447708176, 26787836, 350941460, 7650975, 404746979, 320240637, 269995024, 263099227, 308733243, 380618243, 432433606, 35969295, 50458265, 411409857, 97091032, 183296247, 201531002, 260787655, 462043437, 241555609, 255780735, 152597348, 62284337, 271393992, 183542850, 244346787, 95014614, 66352481, 290735677, 410918247, 142415424, 9975273, 266358931, 363194093, 72448699, 155923410, 219353299, 366827270, 178218965, 401722950, 308154406, 385370075, 243380194, 343131595, 379249755, 418199248, 6906358, 222267217, 228088915, 368476135, 192205716, 402034127, 449625267, 71203496}

    {900972977, 887950017, 668360567, 929672409, 572847802, 983625801, 988661788, 920395514, 717600697, 601247492, 869379582, 713853145, 873353333, 734661590, 813631503, 613468614, 647563434, 630527517, 940795294, 755270925, 576805739, 553515161, 527769470, 771947622, 783691579, 539733595, 963469588, 849869838, 977075250, 594717106, 942202289, 583397337, 505834108, 903899880, 682241245, 833252938, 950430472, 696978663, 612095895, 587935816, 922365291, 509720627, 958425244, 566524720, 902349110, 647852371, 529272485, 771885545, 963828245, 979274724, 724318050, 917578849, 632310928, 820539379, 819955645, 882990201, 669616709, 529763625, 779392653, 752176718, 928533539, 661480506, 678237687, 868947777, 858650677, 674271497, 740316082, 818795173, 897414321, 812061536, 980317993, 615681809, 917728756, 948384641, 975220819, 989182231, 901511061, 960518290, 623688256, 649345761, 739835083, 639649086, 679750456, 669135638, 836898253, 898528118, 854848043, 606595478, 863973659, 832819520, 677242960, 723167057, 635530077, 857397769, 989841760, 777764578, 676346031, 868838662, 935683698, 984924611, 514660041, 582350326, 868276095, 654307273, 566049246, 611511967, 550341737, 548496972, 953022640, 903889765, 766191309, 776044144, 526177632, 892570962, 966689430, 711661765, 945997090, 719806351, 818379592, 864356980, 711551941, 816687225, 850408367, 742043797, 996840910, 829836547, 597163960, 680098698, 761296045, 719781387, 580409145, 505033185, 888756645, 791476358, 956495051, 524981729, 700683592, 675992851, 553478317, 758340944, 558375226, 731423492, 911029586, 884793230, 854654808, 809709820, 959318575, 980199241, 856200962, 913089751, 679151627, 968136014, 968652465, 739434563, 814827560, 660235843, 532680025, 632578755, 608588623, 519091003, 623846784, 851264429, 793632685, 557583372, 512546923, 656849768, 616073457, 765384796, 619335438, 776695096, 722866658, 542092574, 562590722, 679051547, 985089186, 845450249, 538277888, 859930099, 507949708, 746987640, 627424492, 759255277, 629075568, 588617809, 551509914, 996136620, 786249166, 874718946, 870213485, 711341571, 981629401, 851613091, 745848896, 891710403, 942677778, 723969267, 887802360, 500909596, 721830221, 992282932}

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    174

    Returns: 2406625647742900

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    144

    Returns: 11192934030812652

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    {805659237, 957205841, 917254533, 549338641, 777500167, 708891684, 804180162, 636872032, 934029828, 980660853, 998163211, 896696756, 852454884, 754701103, 522403701, 820444409, 702225346, 783224799, 958944980, 523098646, 963825128, 916574359, 531445578, 631703196, 728036753, 805660688, 563304374, 517388661, 552683543, 790176884, 900755182, 881463620, 622523424, 535035543, 593503859, 664456016, 650553072, 861807335, 965014068, 969910780, 646204205, 728760723, 976162260, 758499299, 555010459, 897529039, 571798964, 618859911, 886091630, 734435393, 775531201, 581848901, 696615316, 966722491, 813438679, 878818154, 557041958, 532119968, 682364858, 598802906, 583169591, 808087258, 700368794, 613087303, 685244247, 661830182, 571894550, 750794970, 937657475, 866070522, 651711018, 914581481, 503644710, 603198115, 776062159, 573275651, 962662945, 638090512, 822712919, 754034791, 734205885, 951129705, 739096421, 904487906, 649130374, 511419160, 646695396, 510687484, 683297804, 899616315, 797907921, 732735130, 528175368, 991302215, 760896484, 905519948, 511691712, 550305049, 665245697, 551243947, 969358463, 978709969, 647481109, 535437016, 719158462, 746215942, 925310533, 608587968, 992480838, 893307946, 720753957, 849963107, 800401683, 830379058, 625564734, 536416129, 702740950, 591615004, 747981005, 706846633, 661539540, 910205171, 763376836, 889069217, 735380092, 679029747, 695753660, 627719288, 818716436, 659922595, 556371028, 632323422, 586507587, 731154477, 786775324, 797891624, 891544949, 574074846, 589900212, 604516308, 760750757, 688320147, 543568108, 798735217, 928878747, 984745671, 922741589, 760313559, 576036255, 537114972, 528138850, 825079796, 972680140, 610170552, 984324067, 776265868, 683094739, 638834160, 909741901, 868626398, 931485835, 846566802, 913926113, 878213382, 628951313, 589369533, 885177865, 732954446, 642818927, 673769706, 830911424, 763652326, 594913810, 997550556, 922100447, 571533186, 801243744, 623928545, 748089618, 868895822, 729512161, 715621180, 764748990, 871364273, 588829170, 729613485, 772151801, 741919695, 543928736, 657460083, 500679238, 823747079, 572438742, 609798063, 866663313, 858972544, 832164360, 964485033, 860862156, 990345022}

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    19

    Returns: 240095505259308832

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    190

    Returns: 527247329610225

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    {5230160, 496360389, 248960233, 74504811, 21536508, 224435827, 5023257, 194023705, 240441365, 118503910, 188141014, 371563519, 208199038, 156673645, 152862254, 310642163, 38108332, 389972693, 207330187, 136263232, 444477862, 472335374, 489300292, 310244912, 323567181, 25072984, 484154921, 387566143, 111496033, 453727305, 306316474, 485935909, 159206362, 482851045, 435289076, 196267948, 61618307, 291727438, 455475137, 272530114, 51708144, 170410650, 69463509, 77537377, 208591884, 485771733, 118084196, 136335913, 363885161, 6300598, 169883094, 182857340, 388176577, 433175927, 113609359, 104808884, 96947510, 360111235, 380726957, 442205331, 99167847, 400521924, 203930325, 184683494, 172342321, 32393781, 156098398, 465192497, 390438563, 426702872, 200253425, 280359275, 364358662, 24317360, 418059795, 355544929, 404528281, 56492631, 19238103, 479805042, 409438982, 104238090, 489643232, 354041150, 141501272, 18785342, 197847208, 382575977, 84436543, 330398321, 334284747, 377483797, 159135120, 22665909, 81033723, 336248294, 251770872, 380723575, 427579903, 407436966, 377027567, 89444099, 314515192, 47226307, 487527947, 443200742, 121690890, 164754400, 143875281, 178453133, 207099127, 39414732, 110794435, 2764277, 480714292, 478842911, 260325629, 186398948, 338866626, 228300765, 392647315, 235238232, 497253357, 5707831, 124360971, 248765890, 353396501, 431394796, 292682781, 253125073, 2853507, 473011345, 465734512, 341337926, 74527629, 348444555, 473379082, 124362998, 148314437, 111475505, 331287202, 73113145, 67595988, 442241234, 141761074, 384800125, 394955363, 196505969, 372785249, 431820372, 475633728, 58925382, 484992808, 422509707, 135074518, 432905727, 281169021, 13180519, 431222775, 487097252, 154789196, 487920855, 251491587, 282238364, 336897754, 471229389, 54667315, 94330330, 411762958, 195709386, 325538384, 289659427, 17108351, 147895258, 413522557, 278899776, 480166183, 54690562, 352600422, 399194393, 347814160, 388637879, 274174529, 120712491, 137542454, 292606956, 357859142, 281568347, 346025415, 95069572, 344600366, 232064829, 205299420, 77443023, 230567876, 494043675, 253691562, 405952268, 271232886, 258058382}

    {806605639, 877997710, 768823768, 653370058, 821960736, 606140533, 594741679, 681731283, 847851165, 714714097, 891472883, 887661745, 991349010, 633328346, 764365137, 723732926, 847312962, 981312795, 696068509, 789175218, 934997504, 682113205, 765313503, 847492677, 884201983, 902093777, 714609448, 908482874, 737573622, 545427897, 736209120, 504424530, 765262357, 995809167, 607749118, 679148172, 619896903, 686775172, 798730781, 650252107, 629628649, 655368886, 567871492, 787686773, 693539384, 590930827, 612856094, 943310968, 962124736, 599796013, 809251310, 572873946, 790801018, 501052269, 959887207, 672814224, 975602157, 893578898, 532381833, 716963141, 705682102, 928943667, 775328204, 628392758, 890505872, 522490847, 620725610, 615323939, 780370279, 952712431, 872278194, 871368520, 570234085, 627511061, 927091473, 923403737, 941171222, 633306779, 705143070, 559563159, 591972298, 756807097, 593532063, 747925946, 930189261, 652010104, 555067013, 540997094, 523736338, 695909547, 535715211, 633388107, 727172093, 837574271, 859263616, 731334955, 741131478, 671048506, 844247337, 980445352, 767199740, 929428762, 570433868, 621539505, 710183473, 515752646, 879850320, 821044797, 654889000, 756905753, 927482152, 789200267, 916745669, 704595533, 987655965, 592844346, 535162595, 883029126, 793029101, 511778668, 854626236, 600739405, 781950764, 606954316, 545042632, 956539919, 656801557, 923645766, 845392444, 959152761, 736378396, 614076992, 778474573, 752089544, 500201966, 962441458, 558266597, 558724765, 571933895, 912844106, 656924521, 798841621, 763262118, 675225662, 519605236, 771318947, 819468829, 675603454, 507548994, 962103422, 851824374, 583011098, 899466183, 719355632, 843950670, 597236669, 614126197, 762228661, 617925574, 827677084, 946834657, 979903521, 895375745, 753679673, 850218543, 709521775, 628158903, 827533218, 653284122, 936163853, 540351153, 891414267, 516333900, 739866647, 629163669, 988921209, 779256879, 664586962, 670728069, 720902378, 612877278, 760198283, 958762446, 661217517, 669093468, 994080415, 541466976, 804501306, 752967685, 940525859, 865250401, 954305046, 597232193, 878295603, 578336374, 896091986, 882816253, 559913281, 983454260, 824943190}

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    117

    Returns: 22831893423719688

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    125

    Returns: 19027757938355114

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     26

     Returns: 204230204519256548

101. {110225712, 72085614, 312280312, 319938619, 21128216, 456247857, 275282305, 488729701, 135644483, 330084132, 231603550, 316672921, 289158002, 47048804, 367487826, 73178639, 428951002, 140835675, 459652132, 67912507, 248832469, 114932429, 383964784, 364957186, 330275297, 209356549, 249247967, 368063723, 369762533, 317554436, 493698723, 438701546, 367981251, 477045414, 383209112, 477199015, 435476789, 39775723, 378266196, 135377628, 415591863, 196789969, 197849747, 367283100, 371657222, 375245042, 264673772, 54711913, 346422691, 68194925, 133733685, 195972774, 299825433, 420228091, 99468601, 166363810, 354773826, 239238177, 451099808, 157670271, 448902759, 104488241, 85025574, 10682109, 416384722, 152616759, 158702422, 391428317, 499353729, 496966614, 139643901, 362073851, 236017076, 318471634, 96111343, 282431677, 87652226, 449685595, 263024925, 385846326, 240971677, 287279954, 291792208, 245373816, 283525695, 411798111, 307968447, 442920502, 189644474, 73855274, 9172246, 192241265, 480666575, 241683091, 65847373, 73999045, 316184500, 241644732, 26009019, 469517353, 126070129, 84726018, 431406131, 38087398, 33845429, 349991969, 96536218, 37882823, 277712728, 346649579, 153860461, 313207787, 58670173, 418410867, 99187171, 197293377, 104481067, 34102605, 177062522, 28186837, 77691546, 421865534, 118627958, 395281732, 137786411, 77234872, 109915708, 222300686, 226577625, 85614481, 301419139, 5936000, 494169001, 108618693, 266049896, 126148122, 18663435, 484677756, 114990352, 96259460, 195299815, 184535762, 359083400, 207739494, 143042292, 203098269, 226097917, 249197663, 277956745, 41913783, 54420866, 250762405, 82114847, 287264487, 122127959, 471010053, 163383285, 472358020, 396933013, 106439117, 485636293, 76849127, 10902804, 301700713, 19516846, 213385384, 451120562, 349221807, 61084443, 242972306, 77997707, 204954608, 112537246, 21940961, 308915016, 131350058, 274502761, 264765303, 351493693, 345682444, 498819011, 141116891, 26366722, 78236170, 167964534, 284355564, 42703068, 178014336, 386251945, 395747420, 200030263, 170666459, 350897071, 184585909, 110162113, 361044140, 167473597, 374201329, 217951653, 5133340}

     {22012249, 43516295, 118581423, 298078932, 101240798, 95032835, 162935532, 210481177, 430096301, 238348185, 147817017, 92712279, 493909312, 446434800, 437550520, 319739755, 374279959, 132757533, 111760447, 196136309, 221681818, 49336292, 328281025, 21439038, 102524623, 434856771, 112628205, 171450008, 115051121, 383330819, 391312372, 387416608, 331603958, 416974761, 131030781, 160909690, 215932932, 311208534, 175020783, 354794136, 472162564, 301241128, 82186474, 454827699, 46760888, 307616946, 36861399, 479750432, 136716773, 274230687, 126249299, 139219701, 257245157, 308556635, 290294813, 1314966, 53026157, 254659936, 200472367, 389887492, 92339302, 392580653, 57692384, 219050102, 354914476, 250070963, 255238525, 459844342, 85624285, 436767918, 2398912, 87087518, 100518655, 5621466, 458978516, 222102041, 135995448, 305388849, 155001645, 466220545, 155249204, 336388868, 355573546, 498393675, 182429287, 127936158, 45567397, 134590827, 375073405, 424184827, 479544810, 53241086, 319569251, 113953465, 24473691, 96069315, 281168208, 264120960, 191457399, 105587521, 451377438, 355367527, 52222359, 232242550, 494223278, 258718511, 326828367, 105678320, 171237694, 68640172, 256362127, 407967726, 152617910, 298342926, 491823701, 140875771, 470338676, 245170190, 416108958, 224741077, 83976443, 354211093, 49557417, 459687552, 268246165, 142535584, 265121868, 296018873, 372444068, 61821464, 13771168, 277686874, 396473054, 481494183, 113554809, 66441272, 77246601, 141702786, 2259323, 433555329, 294455696, 458864698, 236254867, 71103299, 416016170, 194096520, 27342848, 441501339, 458665949, 226028033, 333942787, 137878514, 453384584, 436840602, 80207478, 13434864, 352089695, 109480356, 249465526, 141717269, 436524048, 304966226, 497194468, 237146109, 262027717, 19055495, 288589146, 330572540, 292107194, 130463480, 326323644, 389532917, 402056289, 308657736, 431425274, 253121706, 131139521, 121152763, 334115083, 38449978, 415849771, 282403100, 448358048, 124216055, 268610401, 188443399, 165181862, 468392354, 286178763, 279421634, 436755142, 181744464, 485082810, 337653543, 162653083, 122023441, 254485465, 168457626, 356189095, 421402401}

     {975903553, 567949591, 712385193, 997259967, 585660014, 743224748, 854000817, 998163562, 950097624, 524680189, 583568133, 731266335, 529128036, 501557735, 659853008, 910473312, 868767046, 673570436, 666642184, 745122300, 812546278, 739140937, 905518735, 717829992, 833014244, 844666942, 514523515, 546608597, 678058422, 974362902, 782428110, 604139269, 703624685, 744510321, 949804767, 701929710, 912069939, 537620193, 592478481, 655419915, 828188595, 899250416, 937483156, 672021458, 619657700, 969088479, 619652368, 579005716, 980046664, 980824257, 944482146, 665969540, 608972163, 759697466, 591420023, 693291980, 844736831, 683791573, 695200119, 784021038, 738451824, 565219549, 562087970, 668633909, 501262457, 631957474, 905323219, 955811027, 602340068, 785231554, 773491628, 944883420, 798922622, 776632228, 795989843, 553280966, 965616652, 899316683, 810993144, 563514718, 621824425, 533734914, 937481791, 978603925, 577917455, 547502561, 976941110, 978762707, 775486306, 864830961, 927378585, 683848914, 610859356, 693680739, 995842378, 995908035, 534443322, 997483440, 604983435, 736469780, 793976447, 727228541, 856968059, 895119735, 725255853, 517844013, 601544379, 976885443, 715679707, 703601434, 881489569, 957870349, 774777103, 898334651, 600909321, 562883899, 589408328, 985718155, 697556817, 766248312, 968824431, 643226422, 876153138, 945984952, 850996290, 754611324, 734256667, 960485719, 689391509, 682336530, 597970633, 919251160, 894063107, 544005654, 878070898, 693153766, 798599568, 963776540, 971136634, 553583883, 671288775, 877322321, 754316107, 816825536, 848141582, 615834379, 828268753, 755273889, 784131075, 857583298, 828453976, 648354681, 581138671, 769174300, 831176833, 571258712, 512504220, 549574858, 999155910, 693426784, 785220063, 582787984, 778927279, 956961248, 910123100, 605054566, 758404152, 654622638, 726246049, 560551475, 978711414, 740472624, 917171010, 623030869, 652403764, 737003840, 726708979, 886785112, 715381482, 916433728, 656429712, 928858723, 884802314, 695449253, 629357770, 967882114, 688240647, 857798828, 730745267, 961897950, 593669871, 733971360, 983668602, 566530501, 719310782, 656647297, 590156694, 835134919, 920522897, 988035346}

     {650684336, 608152453, 526684122, 524161235, 630810601, 613553786, 916556193, 745123679, 538737506, 913488244, 599743499, 849406490, 641984986, 879423942, 888263807, 635699761, 608100899, 605959285, 894876365, 875142974, 579504870, 528287542, 842254097, 923254821, 562102304, 787752709, 527780170, 777170874, 850548934, 741026918, 963728570, 927463862, 755417078, 540569440, 582265004, 533730416, 682372349, 920103946, 817113649, 797163218, 786208996, 636018736, 977038316, 775165053, 877042398, 554486984, 842629096, 574786351, 974578807, 960822641, 980945116, 797226074, 759115403, 928595542, 636337612, 869045333, 582076843, 611675645, 948849123, 562298430, 533258161, 705148992, 991525779, 869413978, 558037212, 727979420, 533467217, 661358435, 612493120, 749602142, 594411622, 514331394, 608178498, 628388535, 840054315, 754083790, 973991510, 824776161, 589429234, 612829349, 843623120, 722116268, 597550646, 588636588, 753948422, 805440294, 612457137, 536181568, 837047196, 974815822, 617140877, 740153679, 968061603, 762714621, 530359786, 573334786, 771502204, 719936452, 582769107, 576788879, 833288923, 936989250, 794230517, 959489985, 720471462, 943826499, 991383187, 540877468, 735585575, 755592912, 629564968, 831360373, 531052399, 628941765, 987386634, 559887597, 994424409, 960281884, 514449204, 760467019, 706960382, 710719782, 916658270, 877037445, 875066744, 551172279, 713564280, 824246365, 640054027, 654633322, 695982172, 855535957, 839307730, 897745305, 850420433, 738592219, 862954027, 533664264, 932617730, 562181935, 587526698, 753199042, 510367149, 945530773, 504051778, 866932097, 682068627, 529731628, 584429198, 806084702, 974971366, 898653623, 576041956, 994705113, 667843023, 895613776, 786615161, 605590242, 945362611, 596211650, 578166630, 912882853, 609890386, 971497642, 893250988, 894825761, 886051800, 514258789, 997714726, 835393878, 946799266, 715150486, 512280456, 755062612, 658785991, 742234472, 602927475, 626823160, 535975286, 861058358, 633124716, 771686889, 508669860, 878234066, 621446367, 525598182, 704302740, 565161816, 720927148, 826578999, 828667468, 812643609, 832102592, 651213369, 612381204, 761301570, 686200238, 753473848, 979508510, 905805429}

     171

     Returns: 3091881909993022

102. {2, 5, 1}

     {3, 7, 1}

     {7, 10, 6}

     {9, 10, 5}

     2

     Returns: 8

     The optimal solution is to choose rectangles 0 and 2 (using 0-based indices). The intersection area would be a rectangle with bottom left corner at (2, 3) and top right corner at (6, 5) having an area of (6-2) * (5-3) = 4 * 2 = 8.

103. {2, 5, 1}

     {3, 7, 1}

     {7, 10, 6}

     {9, 10, 5}

     1

     Returns: 30

     The intersection of one rectangle is the rectangle itself. The biggest of these rectangles is rectangle 0. Its area is 5 * 6 = 30.

104. {2, 5, 1}

     {3, 7, 1}

     {7, 10, 6}

     {9, 10, 5}

     3

     Returns: 0

     The only subset of size 3 is the whole set which has an empty intersection. The area of an empty intersection is 0.

105. {1, 1}

     {1, 10}

     {10, 10}

     {10, 20}

     2

     Returns: 0

106. {2, 5, 1 }

     {3, 7, 1 }

     {7, 10, 6 }

     {9, 10, 5 }

     1

     Returns: 30

107. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200 }

     {50001, 50002, 50003, 50004, 50005, 50006, 50007, 50008, 50009, 50010, 50011, 50012, 50013, 50014, 50015, 50016, 50017, 50018, 50019, 50020, 50021, 50022, 50023, 50024, 50025, 50026, 50027, 50028, 50029, 50030, 50031, 50032, 50033, 50034, 50035, 50036, 50037, 50038, 50039, 50040, 50041, 50042, 50043, 50044, 50045, 50046, 50047, 50048, 50049, 50050, 50051, 50052, 50053, 50054, 50055, 50056, 50057, 50058, 50059, 50060, 50061, 50062, 50063, 50064, 50065, 50066, 50067, 50068, 50069, 50070, 50071, 50072, 50073, 50074, 50075, 50076, 50077, 50078, 50079, 50080, 50081, 50082, 50083, 50084, 50085, 50086, 50087, 50088, 50089, 50090, 50091, 50092, 50093, 50094, 50095, 50096, 50097, 50098, 50099, 50100, 50101, 50102, 50103, 50104, 50105, 50106, 50107, 50108, 50109, 50110, 50111, 50112, 50113, 50114, 50115, 50116, 50117, 50118, 50119, 50120, 50121, 50122, 50123, 50124, 50125, 50126, 50127, 50128, 50129, 50130, 50131, 50132, 50133, 50134, 50135, 50136, 50137, 50138, 50139, 50140, 50141, 50142, 50143, 50144, 50145, 50146, 50147, 50148, 50149, 50150, 50151, 50152, 50153, 50154, 50155, 50156, 50157, 50158, 50159, 50160, 50161, 50162, 50163, 50164, 50165, 50166, 50167, 50168, 50169, 50170, 50171, 50172, 50173, 50174, 50175, 50176, 50177, 50178, 50179, 50180, 50181, 50182, 50183, 50184, 50185, 50186, 50187, 50188, 50189, 50190, 50191, 50192, 50193, 50194, 50195, 50196, 50197, 50198, 50199, 50200 }

     {1000, 999, 998, 997, 996, 995, 994, 993, 992, 991, 990, 989, 988, 987, 986, 985, 984, 983, 982, 981, 980, 979, 978, 977, 976, 975, 974, 973, 972, 971, 970, 969, 968, 967, 966, 965, 964, 963, 962, 961, 960, 959, 958, 957, 956, 955, 954, 953, 952, 951, 950, 949, 948, 947, 946, 945, 944, 943, 942, 941, 940, 939, 938, 937, 936, 935, 934, 933, 932, 931, 930, 929, 928, 927, 926, 925, 924, 923, 922, 921, 920, 919, 918, 917, 916, 915, 914, 913, 912, 911, 910, 909, 908, 907, 906, 905, 904, 903, 902, 901, 900, 899, 898, 897, 896, 895, 894, 893, 892, 891, 890, 889, 888, 887, 886, 885, 884, 883, 882, 881, 880, 879, 878, 877, 876, 875, 874, 873, 872, 871, 870, 869, 868, 867, 866, 865, 864, 863, 862, 861, 860, 859, 858, 857, 856, 855, 854, 853, 852, 851, 850, 849, 848, 847, 846, 845, 844, 843, 842, 841, 840, 839, 838, 837, 836, 835, 834, 833, 832, 831, 830, 829, 828, 827, 826, 825, 824, 823, 822, 821, 820, 819, 818, 817, 816, 815, 814, 813, 812, 811, 810, 809, 808, 807, 806, 805, 804, 803, 802, 801 }

     {51000, 50999, 50998, 50997, 50996, 50995, 50994, 50993, 50992, 50991, 50990, 50989, 50988, 50987, 50986, 50985, 50984, 50983, 50982, 50981, 50980, 50979, 50978, 50977, 50976, 50975, 50974, 50973, 50972, 50971, 50970, 50969, 50968, 50967, 50966, 50965, 50964, 50963, 50962, 50961, 50960, 50959, 50958, 50957, 50956, 50955, 50954, 50953, 50952, 50951, 50950, 50949, 50948, 50947, 50946, 50945, 50944, 50943, 50942, 50941, 50940, 50939, 50938, 50937, 50936, 50935, 50934, 50933, 50932, 50931, 50930, 50929, 50928, 50927, 50926, 50925, 50924, 50923, 50922, 50921, 50920, 50919, 50918, 50917, 50916, 50915, 50914, 50913, 50912, 50911, 50910, 50909, 50908, 50907, 50906, 50905, 50904, 50903, 50902, 50901, 50900, 50899, 50898, 50897, 50896, 50895, 50894, 50893, 50892, 50891, 50890, 50889, 50888, 50887, 50886, 50885, 50884, 50883, 50882, 50881, 50880, 50879, 50878, 50877, 50876, 50875, 50874, 50873, 50872, 50871, 50870, 50869, 50868, 50867, 50866, 50865, 50864, 50863, 50862, 50861, 50860, 50859, 50858, 50857, 50856, 50855, 50854, 50853, 50852, 50851, 50850, 50849, 50848, 50847, 50846, 50845, 50844, 50843, 50842, 50841, 50840, 50839, 50838, 50837, 50836, 50835, 50834, 50833, 50832, 50831, 50830, 50829, 50828, 50827, 50826, 50825, 50824, 50823, 50822, 50821, 50820, 50819, 50818, 50817, 50816, 50815, 50814, 50813, 50812, 50811, 50810, 50809, 50808, 50807, 50806, 50805, 50804, 50803, 50802, 50801 }

     100

     Returns: 641601

108. {536869136, 501905011, 345967113, 119278484, 52277063, 12184984, 895558266, 709089049, 194136502, 77771415, 153005664, 493364414, 824192778, 11396290, 282781422, 311525320, 295930143, 20723736, 647878591, 109317710, 586141910, 652799403, 286874266, 973120088, 108272172, 88132746, 268962166, 143291911, 737392519, 408273339, 685971290, 76039682, 229977151, 629098860, 691434476, 708283759, 175545347, 139371090, 80644800, 349725097, 964770016, 118636695, 20226460, 531355209, 544068984, 552601083, 658788007, 381291772, 553004651, 40585920, 174212366, 564494740, 50056154, 77013170, 33335476, 641850267, 95627552, 179428730, 350515133, 588363861, 393803021, 80307380, 209190271, 668068083, 118291866, 80730201, 387243779, 92559114, 619657984, 197538288, 62837872, 380726485, 452928083, 257672003, 483169742, 67037093, 177748442, 55463081, 385904008, 694149541, 434427736, 254450532, 384359243, 153839230, 364308816, 73468201, 279291120, 146750911, 821007951, 422330463, 263501764, 649417376, 83811685, 433408949, 265667342, 375407903, 352685938, 130336871, 491003953, 416079350, 650541852, 72697472, 583916110, 907014156, 18023970, 645959485, 312084267, 427069597, 788897040, 219964431, 55495656, 459227078, 409514437, 104479459, 152098978, 91614679, 195333622, 146363315, 470978549, 389375119, 64524730, 330808193, 405159896, 449360225, 194418200, 526338687, 125511715, 487315965, 580120756, 271692095, 462403733, 437871093, 74085505, 151075909, 468156766, 32838338, 639213409, 259408013, 45109961, 43357746, 575619183, 197713325, 370813057, 574774948, 664545378, 859469270, 496718597, 715410522, 591489520, 211318347, 906091048, 653060798, 13032082, 86955099, 426935516, 11295082, 384462514, 262649107, 525732402, 242358582, 121029701, 514846622, 691465948, 125025770, 410615222, 89132722, 7684945, 491573475, 166502212, 74220642, 287022165, 199554055, 16979023, 324398168, 501578427, 249564880, 401222466, 261180951, 289638850, 308104646, 149892135, 68031207, 851781464, 225583698, 428258177, 54450139, 373944134, 675902134, 589716059, 841310700, 66137366, 577830135, 79020573, 48098398, 278675847, 54365925, 41337355, 663363070, 446739746, 47561413 }

     {587670672, 922497564, 35098776, 314993293, 43777899, 303217483, 948783, 45979193, 887417484, 90042230, 3771249, 191619796, 549181564, 739341126, 435156151, 254846882, 319405299, 383302369, 165672410, 41314924, 712714007, 77176168, 183184149, 725724599, 307683915, 413485287, 533150766, 639776658, 281510847, 873960375, 492464605, 774982987, 328548461, 695924442, 136336964, 539984976, 261240255, 754525860, 267278968, 251575824, 151530524, 283908751, 367600201, 181124906, 501905065, 613021309, 134139707, 349778615, 191488238, 527474702, 241048311, 353349309, 124584389, 190707629, 738239585, 501947475, 613714078, 92678377, 454815797, 391969420, 34424454, 15366653, 51387860, 296450501, 487600446, 13158797, 388651658, 56091776, 107850944, 538374989, 522386447, 313749961, 402582143, 536521435, 440487710, 126196094, 72365146, 187204344, 240366241, 230221765, 186377604, 689876464, 235746182, 95978727, 87885406, 528313768, 623519593, 172133865, 590051881, 526024320, 30969387, 67600405, 327374913, 785595087, 444409214, 8689668, 174597266, 225437498, 724317387, 230290748, 469592629, 158527506, 24786927, 290707195, 248677320, 174227130, 907118627, 383638067, 835777453, 135149868, 300317810, 10880896, 137474821, 184108487, 75982960, 107964651, 184255410, 112579209, 380829659, 285284771, 677053723, 390160315, 432727107, 386052819, 203710844, 353794277, 52205509, 11352312, 209961632, 209358023, 387775001, 402101674, 293957627, 227816343, 148338174, 192141418, 39302733, 399016126, 254521766, 120637035, 446699499, 270538928, 109461888, 477183682, 224536640, 137404021, 54786922, 498925612, 555718648, 192053180, 500235651, 529300590, 691435463, 508053388, 535254046, 632396249, 152916922, 761803324, 15129821, 344665730, 51045395, 619832161, 485372197, 60394824, 612208292, 280276240, 3775514, 67109637, 851883365, 377054957, 92693526, 765483821, 463547150, 10919802, 284724979, 212229372, 200037942, 239791472, 794568681, 700914112, 260378619, 79517360, 555541591, 452886185, 413909810, 374627193, 237493484, 395329435, 406909160, 63333122, 201458166, 319791334, 490377462, 84280371, 427963416, 154199870, 609492530, 517452435, 547058693, 285467789 }

     {677159448, 788622737, 857981205, 606420844, 213468990, 781023654, 988645584, 798370682, 262511567, 449069759, 317840140, 545010617, 950920739, 735838946, 966376970, 949880884, 350832311, 590435075, 992840669, 987070585, 888521325, 852360160, 553222417, 985784191, 694714588, 893895397, 628653958, 638141835, 950549717, 815405019, 760164639, 107366606, 491512484, 790930209, 970873411, 928142043, 746725837, 946000282, 992983466, 554285803, 968619072, 693472847, 849083754, 728210470, 556511230, 561597989, 759756584, 693618918, 880593925, 340007831, 845757643, 732671717, 156696933, 855732636, 684194162, 881868455, 957813106, 780734284, 825487034, 804457702, 446341894, 273409022, 637311168, 722812257, 966779292, 653624142, 679328534, 183398172, 765707889, 939351339, 910994447, 911172813, 497867973, 688175870, 995457673, 74928353, 764255422, 296595343, 878798084, 829933131, 759583592, 514787630, 686955597, 932796594, 879799873, 460209292, 405090058, 872401050, 984212368, 948301580, 638449131, 707181713, 500767184, 965269773, 465190852, 613487546, 741615836, 364071287, 612882859, 846667712, 840202210, 513501800, 617375674, 965182794, 769031399, 728819201, 562640957, 583046591, 999731887, 378701192, 273966841, 922582079, 474424529, 724147940, 807674279, 409464294, 329456634, 914665701, 674280449, 800040351, 623072497, 663891182, 533494142, 486974848, 430159444, 902709808, 725126762, 963595453, 888795861, 987614441, 799542775, 485991976, 931927869, 157899426, 988821371, 814809193, 786370471, 742078170, 937396862, 367738765, 703852986, 569200393, 669318238, 665305872, 944559622, 912200261, 782054085, 937896878, 988647381, 589155035, 971738004, 923097083, 40442483, 316885335, 895167156, 940702490, 919205408, 739523479, 795316604, 886085450, 431989836, 993342775, 809246449, 168007456, 727010752, 308508135, 891173754, 662828672, 851610116, 511748077, 786740498, 382358536, 546120244, 818161398, 692861898, 757662448, 814405765, 832729099, 814828871, 887459403, 976680708, 974764521, 942677018, 893152247, 562739040, 258699467, 485406038, 877910151, 862841166, 969790635, 846836647, 596265084, 712263847, 912726767, 369968617, 476187100, 950481007, 999088838, 648329041, 516164773 }

     {974342762, 932329264, 641608619, 744487094, 808618448, 719881270, 737178162, 208838683, 915371388, 381580235, 691175073, 393651085, 875294515, 964449205, 566360416, 676671147, 385135343, 631564215, 655951196, 266905720, 868160464, 809323151, 813528815, 964550918, 448257159, 654503337, 930801285, 828581792, 411095999, 959218201, 844237904, 958526228, 792867604, 910160799, 195524374, 796010533, 726364704, 811899812, 917701419, 346655746, 877783511, 900458067, 835466724, 706193760, 602785623, 910425182, 853571721, 680181557, 693748143, 952885654, 842009160, 980440738, 176986646, 909482215, 937018147, 947523784, 965821267, 384420853, 868724381, 591649582, 976591662, 269885871, 370142102, 553957644, 638145301, 799325515, 885898537, 65648993, 664877203, 763860760, 739191434, 895941783, 730073484, 827620696, 461924513, 313371618, 890685379, 524141653, 244515784, 961327776, 386326542, 979636446, 698901944, 440337187, 790290398, 813748954, 884774595, 563220802, 748782820, 761212791, 797600782, 763397814, 784487009, 991003467, 758700612, 388447794, 782855437, 290626730, 866597118, 736841166, 638432331, 626162382, 413235922, 789171102, 272464101, 846241566, 971439987, 394425491, 839511680, 486484781, 652107987, 915178194, 706938889, 982250851, 229073698, 687505039, 558635756, 897884038, 692810109, 459032060, 749089157, 629534594, 499456602, 641251553, 863983403, 762835409, 572075012, 452959502, 910244986, 354607390, 487315624, 580959248, 622549591, 988145480, 885549358, 943287509, 442535313, 455143167, 625951963, 453185485, 996304784, 832323779, 223982603, 943141297, 405726664, 606525785, 372117067, 577606866, 721613492, 562317324, 862625432, 547070824, 926265195, 579719809, 849069489, 772735475, 458173255, 935363808, 294520150, 384575654, 731893685, 893027377, 563522656, 627308290, 970772692, 597291498, 130296477, 117527928, 967815607, 587434735, 105888606, 929423101, 576062111, 184890424, 376120326, 725066264, 293421303, 377749926, 852507040, 760022489, 726133711, 323657463, 674391722, 929804765, 429301918, 624298379, 606556098, 628671643, 791230330, 292812921, 380304218, 347806501, 782275039, 265331377, 810245183, 548209292, 713058969, 697212130, 762408488, 632607634 }

     2

     Returns: 529251187162250331

109. {1, 2 }

     {2, 1 }

     {4, 3 }

     {3, 4 }

     2

     Returns: 1

110. {1, 1, 1, 1 }

     {1, 1, 1, 1 }

     {2, 2, 2, 2 }

     {2, 2, 2, 2 }

     4

     Returns: 1

111. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

     {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

     {200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200 }

     {200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200, 200 }

     200

     Returns: 39601

112. {393941224, 91070831, 222080052, 63447059, 32406271, 308845103, 680283368, 132345379, 67887724, 286381305, 83698214, 367152274, 65273583, 684388698, 596322001, 76469481, 23873628, 147398532, 239829839, 766804755, 241104544, 569942058, 520190180, 122965038, 660495103, 96550525, 128953755, 418654502, 420038641, 121755183, 49437345, 169231475, 53220094, 290087283, 101762713, 398308933, 857029379, 496078074, 877404035, 5186260, 49249113, 884258807, 358272493, 103945792, 458326757, 180387199, 137009562, 208282531, 731980622, 29604614, 83776415, 332043827, 55876077, 337253154, 28210462, 29009045, 330516160, 29980362, 184524477, 187949360, 387932122, 32701195, 315068186, 443622649, 310155213, 354819000, 566766680, 844880283, 310558737, 47115028, 52901209, 150526107, 327147782, 392292560, 130933583, 375895560, 631582678, 174089015, 335352719, 125251830, 37743867, 333387912, 367469609, 168126166, 264471353, 283706368, 357424677, 501459301, 98193467, 338612259, 464958132, 462554038, 266550482, 271611751, 250319303, 411197842, 164746583, 23802460, 35676897, 415429175, 392994345, 505649269, 475424707, 218862594, 648690641, 64705551, 35573781, 183001578, 242817224, 251752556, 480103434, 24376095, 941163362, 41616977, 521596849, 357999027, 320722878, 852344096, 656901300, 484964431, 597867430, 235886157, 249298037, 787238181, 701607049, 45472801, 809744657, 347873748, 389228285, 384192169, 508493364, 687241734, 41719735, 18714488, 151854456, 22146404, 266770781, 138828815, 205432833, 525263846, 364813269, 304414332, 282509745, 314659179, 136744917, 160002292, 246366442, 710072577, 224630654, 583587349, 210284174, 145578564, 905400694, 530094803, 537544191, 126296223, 379928887, 62093318, 341826261, 463520229, 478988112, 123003543, 404460729, 83031834, 119455636, 246936501, 82190455 }

     {315044642, 598045469, 352600813, 584892869, 59422732, 560219884, 380751968, 75296045, 80436588, 9515882, 44115782, 70398927, 542258502, 256446362, 72770477, 203739167, 491998554, 10097623, 537632704, 51678658, 106684566, 6695867, 123431564, 60468317, 60304881, 381040693, 464893699, 300932527, 343623400, 480788351, 443771124, 409377695, 563770533, 252827168, 55672408, 216019631, 528441310, 85050107, 329011679, 282281876, 80175639, 359010816, 142695189, 366427422, 134246111, 613692761, 239770294, 726092935, 490297199, 192924977, 156719924, 514286638, 603654147, 281483770, 364873648, 256398798, 276804209, 193426252, 128996611, 459967614, 42302013, 612021566, 577995062, 254623414, 19527674, 134925962, 90775252, 465600014, 706915737, 394444943, 296243430, 34303666, 633674503, 134287000, 73305846, 152140618, 253609539, 56056142, 145051361, 260517121, 351877094, 650269032, 107838393, 50839425, 704430819, 556466580, 189853073, 464513779, 200334788, 431593061, 225622893, 600020052, 118237377, 123683453, 124547363, 177543641, 682316065, 292038084, 357244850, 609711648, 426205874, 723371029, 230384231, 864259363, 427236796, 335344434, 654121757, 332385064, 189315081, 886779309, 558139563, 255702973, 76738239, 342762113, 44016243, 264546037, 62029720, 145158291, 80485702, 550603509, 127216220, 95541120, 154280425, 75735689, 676226855, 29757977, 92536688, 744995118, 552135706, 374931455, 157074690, 648354531, 403708339, 71828366, 976800681, 62142969, 640037418, 224180699, 430620909, 770136476, 132042766, 521647573, 170457244, 80485940, 189682246, 638546110, 6169081, 215847612, 273707271, 160534978, 135709525, 46682358, 168489695, 8516789, 232502342, 102232576, 109951854, 60408712, 388234497, 548568368, 628986598, 160328389, 86752296, 210541368, 922026516, 2518774, 690126181 }

     {819251478, 357248843, 640664995, 268143833, 207338632, 954265297, 969572962, 869321883, 487105668, 675919235, 489621938, 849147022, 413977087, 806813896, 607127011, 94330013, 808955610, 147730530, 370725573, 793675602, 694937051, 749450386, 844761670, 457689345, 948705137, 912754715, 407997072, 507979572, 752579034, 188424767, 647427500, 624500454, 393386305, 377241791, 813243688, 478951514, 894449533, 529987038, 884283960, 367345870, 858298600, 947441757, 948949636, 870913685, 776798547, 849160731, 984911740, 671272457, 822543562, 35315097, 192321599, 449887336, 130180777, 545875252, 311854303, 848291457, 619519651, 899506152, 199609578, 673026145, 778841436, 116605342, 663550199, 484646023, 346427382, 633081973, 627063573, 929612220, 429216683, 343467296, 547180951, 444433392, 909516752, 410370529, 136753023, 709086597, 835979760, 995366753, 431603373, 314621151, 215037764, 602884949, 800733507, 186818302, 648163260, 764720500, 684315503, 524049819, 169240416, 612618030, 992921651, 684325398, 370941461, 318383873, 736615122, 503170074, 678374708, 386232913, 663539708, 607857883, 811640084, 851012767, 689614118, 450086773, 893653214, 810482562, 419139803, 363665760, 933744848, 659173549, 658449948, 827377379, 986438215, 867571533, 765273870, 921521247, 795051992, 962943733, 813076795, 540315807, 963527024, 838650406, 508889974, 997107685, 883165777, 586774409, 912068308, 404155911, 616994203, 549540103, 922672093, 936402381, 104336203, 905589760, 304703534, 572355330, 557814897, 910446823, 662870229, 834651173, 997310937, 949544609, 954203427, 800537289, 442239106, 823664368, 385734380, 845586002, 570846975, 600123942, 414494336, 731035293, 926516831, 769310535, 747514546, 647078574, 628687323, 213967979, 841427744, 977733672, 666898072, 435988129, 985216082, 492531837, 444584311, 846572459, 392449201 }

     {441579700, 699779988, 675093055, 860970498, 463248134, 795186520, 943811179, 674791337, 967191935, 375273228, 793259025, 975245476, 828301311, 293589712, 782420874, 542857767, 538528681, 505112172, 629442573, 715328813, 959908724, 437676907, 938657523, 460470200, 957515598, 620546818, 864401579, 621520043, 579647899, 870128155, 813985229, 976234437, 758237720, 903595090, 580862403, 608460069, 724652529, 497117162, 425681472, 370835901, 175414920, 933203221, 258598686, 419161439, 234314800, 836932302, 625629187, 909862519, 640770197, 528537870, 779352546, 603993416, 978518367, 987306119, 537501693, 390226365, 984134555, 563242436, 424373985, 675085664, 164126635, 737140179, 600125671, 743003488, 938176990, 575405598, 474913002, 682808519, 846913577, 609795690, 708892227, 967157007, 900190592, 760664464, 212219596, 318705202, 683264971, 490470410, 550868750, 710109354, 950042964, 972759367, 917543769, 364025713, 963633419, 732052923, 373121024, 753110528, 374034763, 775469304, 872135520, 692946435, 941661120, 419036031, 794250250, 877410532, 981397510, 667515278, 457909346, 807938219, 998671413, 898255468, 845506430, 930856705, 455215335, 857656956, 835947752, 769030214, 886185527, 950961233, 788613678, 494907022, 466346980, 877144337, 390988112, 392216683, 262238741, 358403326, 963399649, 683332444, 830896616, 257227421, 808178306, 320456505, 807453990, 901831747, 387250305, 812598825, 887899280, 529156209, 227857948, 983849168, 462529421, 362496496, 990157486, 971940995, 661314250, 962183118, 584305168, 907160759, 652396441, 802619458, 647441626, 895420075, 664880634, 873550892, 158769966, 628125191, 277077914, 753381253, 209399581, 648877740, 243678928, 185270429, 914969206, 342497826, 367823840, 455363751, 472854376, 956977845, 657682300, 383606077, 188271285, 581528664, 955884219, 439816952, 988211990 }

     147

     Returns: 0

113. {1, 3, 2 }

     {1, 2, 3 }

     {4, 6, 5 }

     {5, 4, 6 }

     3

     Returns: 1

114. {1, 2, 4 }

     {1, 2, 4 }

     {9, 3, 6 }

     {9, 3, 6 }

     2

     Returns: 4

115. {1, 3 }

     {3, 1 }

     {4, 6 }

     {6, 4 }

     2

     Returns: 1

116. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 599999000, 599999001, 599999002, 599999003, 599999004, 599999005, 599999006, 599999007, 599999008, 599999009, 599999010, 599999011, 599999012, 599999013, 599999014, 599999015, 599999016, 599999017, 599999018, 599999019, 599999020, 599999021, 599999022, 599999023, 599999024, 599999025, 599999026, 599999027, 599999028, 599999029, 599999030, 599999031, 599999032, 599999033, 599999034, 599999035, 599999036, 599999037, 599999038, 599999039, 599999040, 599999041, 599999042, 599999043, 599999044, 599999045, 599999046, 599999047, 599999048, 599999049, 599999050, 599999051, 599999052, 599999053, 599999054, 599999055, 599999056, 599999057, 599999058, 599999059, 599999060, 599999061, 599999062, 599999063, 599999064, 599999065, 599999066, 599999067, 599999068, 599999069, 599999070, 599999071, 599999072, 599999073, 599999074, 599999075, 599999076, 599999077, 599999078, 599999079, 599999080, 599999081, 599999082, 599999083, 599999084, 599999085, 599999086, 599999087, 599999088, 599999089, 599999090, 599999091, 599999092, 599999093, 599999094, 599999095, 599999096, 599999097, 599999098, 599999099, 599999100 }

     {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 599999001, 599999002, 599999003, 599999004, 599999005, 599999006, 599999007, 599999008, 599999009, 599999010, 599999011, 599999012, 599999013, 599999014, 599999015, 599999016, 599999017, 599999018, 599999019, 599999020, 599999021, 599999022, 599999023, 599999024, 599999025, 599999026, 599999027, 599999028, 599999029, 599999030, 599999031, 599999032, 599999033, 599999034, 599999035, 599999036, 599999037, 599999038, 599999039, 599999040, 599999041, 599999042, 599999043, 599999044, 599999045, 599999046, 599999047, 599999048, 599999049, 599999050, 599999051, 599999052, 599999053, 599999054, 599999055, 599999056, 599999057, 599999058, 599999059, 599999060, 599999061, 599999062, 599999063, 599999064, 599999065, 599999066, 599999067, 599999068, 599999069, 599999070, 599999071, 599999072, 599999073, 599999074, 599999075, 599999076, 599999077, 599999078, 599999079, 599999080, 599999081, 599999082, 599999083, 599999084, 599999085, 599999086, 599999087, 599999088, 599999089, 599999090, 599999091, 599999092, 599999093, 599999094, 599999095, 599999096, 599999097, 599999098, 599999099, 599999100, 599999101 }

     {499999000, 499999001, 499999002, 499999003, 499999004, 499999005, 499999006, 499999007, 499999008, 499999009, 499999010, 499999011, 499999012, 499999013, 499999014, 499999015, 499999016, 499999017, 499999018, 499999019, 499999020, 499999021, 499999022, 499999023, 499999024, 499999025, 499999026, 499999027, 499999028, 499999029, 499999030, 499999031, 499999032, 499999033, 499999034, 499999035, 499999036, 499999037, 499999038, 499999039, 499999040, 499999041, 499999042, 499999043, 499999044, 499999045, 499999046, 499999047, 499999048, 499999049, 499999050, 499999051, 499999052, 499999053, 499999054, 499999055, 499999056, 499999057, 499999058, 499999059, 499999060, 499999061, 499999062, 499999063, 499999064, 499999065, 499999066, 499999067, 499999068, 499999069, 499999070, 499999071, 499999072, 499999073, 499999074, 499999075, 499999076, 499999077, 499999078, 499999079, 499999080, 499999081, 499999082, 499999083, 499999084, 499999085, 499999086, 499999087, 499999088, 499999089, 499999090, 499999091, 499999092, 499999093, 499999094, 499999095, 499999096, 499999097, 499999098, 999999000, 999999001, 999999002, 999999003, 999999004, 999999005, 999999006, 999999007, 999999008, 999999009, 999999010, 999999011, 999999012, 999999013, 999999014, 999999015, 999999016, 999999017, 999999018, 999999019, 999999020, 999999021, 999999022, 999999023, 999999024, 999999025, 999999026, 999999027, 999999028, 999999029, 999999030, 999999031, 999999032, 999999033, 999999034, 999999035, 999999036, 999999037, 999999038, 999999039, 999999040, 999999041, 999999042, 999999043, 999999044, 999999045, 999999046, 999999047, 999999048, 999999049, 999999050, 999999051, 999999052, 999999053, 999999054, 999999055, 999999056, 999999057, 999999058, 999999059, 999999060, 999999061, 999999062, 999999063, 999999064, 999999065, 999999066, 999999067, 999999068, 999999069, 999999070, 999999071, 999999072, 999999073, 999999074, 999999075, 999999076, 999999077, 999999078, 999999079, 999999080, 999999081, 999999082, 999999083, 999999084, 999999085, 999999086, 999999087, 999999088, 999999089, 999999090, 999999091, 999999092, 999999093, 999999094, 999999095, 999999096, 999999097, 999999098, 999999099, 999999100 }

     {499999002, 499999004, 499999006, 499999008, 499999010, 499999012, 499999014, 499999016, 499999018, 499999020, 499999022, 499999024, 499999026, 499999028, 499999030, 499999032, 499999034, 499999036, 499999038, 499999040, 499999042, 499999044, 499999046, 499999048, 499999050, 499999052, 499999054, 499999056, 499999058, 499999060, 499999062, 499999064, 499999066, 499999068, 499999070, 499999072, 499999074, 499999076, 499999078, 499999080, 499999082, 499999084, 499999086, 499999088, 499999090, 499999092, 499999094, 499999096, 499999098, 499999100, 499999102, 499999104, 499999106, 499999108, 499999110, 499999112, 499999114, 499999116, 499999118, 499999120, 499999122, 499999124, 499999126, 499999128, 499999130, 499999132, 499999134, 499999136, 499999138, 499999140, 499999142, 499999144, 499999146, 499999148, 499999150, 499999152, 499999154, 499999156, 499999158, 499999160, 499999162, 499999164, 499999166, 499999168, 499999170, 499999172, 499999174, 499999176, 499999178, 499999180, 499999182, 499999184, 499999186, 499999188, 499999190, 499999192, 499999194, 499999196, 499999198, 999999000, 999999002, 999999004, 999999006, 999999008, 999999010, 999999012, 999999014, 999999016, 999999018, 999999020, 999999022, 999999024, 999999026, 999999028, 999999030, 999999032, 999999034, 999999036, 999999038, 999999040, 999999042, 999999044, 999999046, 999999048, 999999050, 999999052, 999999054, 999999056, 999999058, 999999060, 999999062, 999999064, 999999066, 999999068, 999999070, 999999072, 999999074, 999999076, 999999078, 999999080, 999999082, 999999084, 999999086, 999999088, 999999090, 999999092, 999999094, 999999096, 999999098, 999999100, 999999102, 999999104, 999999106, 999999108, 999999110, 999999112, 999999114, 999999116, 999999118, 999999120, 999999122, 999999124, 999999126, 999999128, 999999130, 999999132, 999999134, 999999136, 999999138, 999999140, 999999142, 999999144, 999999146, 999999148, 999999150, 999999152, 999999154, 999999156, 999999158, 999999160, 999999162, 999999164, 999999166, 999999168, 999999170, 999999172, 999999174, 999999176, 999999178, 999999180, 999999182, 999999184, 999999186, 999999188, 999999190, 999999192, 999999194, 999999196, 999999198, 999999200 }

     100

     Returns: 159999920800009801

117. {1, 2, 2, 2, 5, 5 }

     {1, 1, 1, 2, 1, 6 }

     {3, 4, 3, 3, 9, 9 }

     {3, 3, 2, 3, 5, 10 }

     2

     Returns: 2

118. {1, 2, 4 }

     {1, 2, 4 }

     {100, 3, 100 }

     {100, 3, 100 }

     2

     Returns: 9216

119. {1, 2, 3 }

     {3, 2, 1 }

     {6, 4, 5 }

     {6, 4, 5 }

     3

     Returns: 1

120. {1, 5, 7 }

     {1, 5, 2 }

     {10, 20, 12 }

     {10, 20, 8 }

     3

     Returns: 9

121. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200 }

     {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200 }

     {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201 }

     {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201 }

     100

     Returns: 1

122. {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

     {1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 }

     {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

     {2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 }

     80

     Returns: 1

123. {1, 6, 1, 4, 4 }

     {1, 6, 1, 4, 4 }

     {2, 8, 5, 8, 5 }

     {2, 8, 5, 8, 5 }

     3

     Returns: 1

124. {1, 1, 1 }

     {1, 1, 3 }

     {2, 2, 2 }

     {6, 6, 7 }

     2

     Returns: 5

125. {1, 1, 1 }

     {1, 1, 1 }

     {2, 2, 2 }

     {2, 2, 2 }

     2

     Returns: 1

126. {1 }

     {1 }

     {1000000000 }

     {1000000000 }

     1

     Returns: 999999998000000001