v=[0, 6, 30, 36, 60, 84, 90, 114, 120]+
41#: 0, 0, 0, 3884, 254400, 6057410, 70286424, 460499340, 1882956650, 5133980902, 9667853048, 12651291142, 11312882740, 6676339958, 2452840186, 503916712, 46356184, 902780, sum=50866421760
43#: 0, 0, 12048, 1166020, 38303884, 595065412, 5110017650, 26822994836, 92403044258, 218864609474, 364252402918, 425312060232, 341463110756, 181789244604, 60501937274, 11328007710, 958751484, 17611280, sum=1729458339840
47#: 0, 24024, 3891012, 191538778, 4224377970, 49738744532, 347778633408, 1555640307808, 4695575203268, 9896428412632, 14775538416876, 15561221886192, 11330459135934, 5504523556562, 1682901464378, 291687570712, 23093708634, 410041200, sum=65719416913920
53#: 21878, 8206116, 695877266, 23527477292, 399589017576, 3875879257306, 23350698443590, 92759472392704, 253465877770904, 488882866535924, 671657372179712, 652886336603722, 439857461378006, 198253194355232, 56410991791374, 9138699965712, 680209513846, 11463424320, sum=2891654344212480
59#: 9227860, 1771770278, 102512426302, 2666235467552, 37283898115152, 311194324377394, 1662793260040910, 5979245255978260, 14981647069132772, 26694474128938812, 34025387071165894, 30785176645106836, 19369453875911290, 8182848434444088, 2190820283942890, 335475074846556, 23757603304274, 389756426880, sum=144582717210624000
61#: 2251618998, 295385136782, 13124327717756, 279781130370656, 3345598731414266, 24602892805982978, 118343206753729680, 388919213072083876, 899442738202291276, 1488116258256027856, 1767703200085142744, 1494625688960315756, 881155184684224744, 349802572918519892, 88283296912528160, 12792699422190956, 861899578210824, 13641474940800, sum=7518301294952448000, OK
v=[0, 12, 18, 42, 60, 78, 102, 108, 120]+
37#: 0, 0, 0, 66, 3588, 93996, 1504854, 14479464, 82446024, 286013266, 624069190, 872144340, 784311990, 450661934, 160383356, 32417722, 3023630, 62580, sum=3311616000
41#: 0, 0, 340, 22540, 667838, 12157472, 139037474, 986209720, 4375270630, 12396867958, 22848209306, 27643785338, 21942763190, 11283818970, 3621989620, 663479038, 56357954, 1074612, sum=105971712000
43#: 0, 736, 84938, 3530404, 81170880, 1159959532, 10451254426, 59700837592, 219447114530, 528332165198, 844399067102, 900916327726, 639359751126, 296913607198, 86623129574, 14496555514, 1133274888, 20376636, sum=3603038208000
47#: 656, 179698, 12629476, 418688534, 8048308732, 95572325952, 717593718640, 3471957281466, 11030948100038, 23381676985236, 33397939449154, 32229492653028, 20879135039090, 8906971639390, 2396691854026, 371457038556, 27073881540, 462130788, sum=136915451904000
53#: 204796, 32942850, 1782146640, 48815415516, 785215611960, 7865176863802, 50568721119268, 213351286901698, 601235609131834, 1146467603840024, 1489860684379960, 1319771510762752, 790324149834276, 313228065487638, 78582013098166, 11394835900260, 781492636748, 12887497812, sum=6024279883776000
59#: 42275066, 5083935484, 228287770066, 5360191034408, 74564459057386, 651035277418524, 3690441004904794, 13907174614166278, 35446771441946486, 61809929329458732, 74133245328272790, 61070338346307116, 34217081884825192, 12748168896387958, 3017752629847492, 414415335608292, 27049868862488, 432166721448, sum=301213994188800000
61#: 7282238916, 715856249816, 27494961606524, 560907196915536, 6834270421847148, 52741304068099392, 267110508524784470, 909397029173054398, 2115947307410773972, 3399159414449453376, 3785370025596835456, 2914488854816494060, 1534409471046051134, 539427123776995250, 120890829968329076, 15766165319306612, 981142113314184, 15125835250680, sum=15663127697817600000, OK
v=[0, 18, 30, 42, 60, 78, 90, 102, 120]+
37#: 0, 0, 0, 64, 3908, 110060, 1505060, 11456436, 53377420, 160584166, 320635374, 428538820, 379325906, 214780112, 72150104, 12444046, 878028, 18496, sum=1655808000
41#: 0, 0, 118, 12908, 531824, 10285452, 106998388, 660965484, 2586474990, 6663805902, 11542581682, 13526305410, 10608265610, 5374936218, 1630928884, 256824538, 16620000, 318592, sum=52985856000
43#: 0, 236, 40966, 2429572, 65179418, 913133642, 7413869668, 37539341444, 124354560304, 277343156152, 422323427842, 439433556522, 307883643902, 139980481914, 38375000520, 5546613310, 338371628, 6296960, sum=1801519104000
47#: 222, 84496, 8223952, 328649622, 6522998704, 72408717518, 488138008794, 2115961461968, 6126581922454, 12126115239624, 16578329298670, 15621566393526, 9973046234478, 4151612509828, 1048069366930, 140813530314, 8079903540, 143407360, sum=68457725952000
53#: 103270, 22191802, 1439048796, 41675215678, 642538205222, 5844650144770, 33551193832942, 127227672531914, 328433205824906, 587477640407504, 733119699518624, 635476848698924, 375656759801064, 145645880673554, 34429109688232, 4352328951502, 235373750736, 3903298560, sum=3012139941888000
59#: 26835248, 3871511328, 189152355250, 4414911295942, 57407474665710, 454824042577394, 2327235117500684, 7996972694162854, 18927869286331240, 31304094934634908, 36339142651896954, 29432989746180414, 16314684551875344, 5950319591794448, 1328681845524962, 159741360474360, 8293122631920, 132712151040, sum=150606997094400000
61#: 5266944224, 575751788228, 22702351650326, 445960552163998, 5029678996841050, 35340140706141622, 163031624264171442, 511286725527978350, 1114563103010288732, 1709467508708270584, 1850006878587656622, 1402528794215901102, 729941536768341584, 250664009917332940, 52886030537063956, 6043120299662040, 300808521316800, 4644925286400, sum=7831563848908800000, OK
v=[0, 18, 30, 48, 60, 72, 90, 102, 120]+
37#: 0, 0, 0, 512, 16392, 221438, 1778534, 9732164, 38240914, 107025546, 208294674, 279555518, 254085694, 147075988, 49068860, 8246490, 529276, sum=1103872000
41#: 0, 0, 1174, 65858, 1356586, 15007918, 106137900, 520593618, 1808930164, 4420353194, 7531271328, 8893356094, 7115057822, 3643796622, 1090985076, 167142552, 9848094, sum=35323904000
43#: 0, 3228, 294838, 8561830, 123545500, 1089850266, 6533950358, 27830964764, 84708735548, 182555551352, 276267711816, 290730075402, 207210854244, 94718186304, 25497749390, 3545477366, 191223794, sum=1201012736000
47#: 2904, 648398, 33715948, 748216892, 9213943396, 72557868848, 393226057150, 1509312339904, 4120071238706, 7970303887422, 10877280168014, 10365791579278, 6716076613312, 2809387651936, 699086996148, 90783611202, 4609428542, sum=45638483968000
53#: 776174, 95388688, 3669301552, 67816454222, 735299586202, 5214774454328, 25575073924746, 88750175212280, 219295051560218, 385917846533000, 482153292141830, 422854282090886, 253225501177800, 98427845656204, 22926816196028, 2810198902112, 135555235730, sum=2008093294592000
59#: 134021822, 11972337064, 377160139504, 6067962804618, 59122367148216, 382533669592984, 1722767204790150, 5509596757933500, 12592297523101770, 20579228399763000, 23955957058144870, 19616211166691478, 10987278335090442, 4006466320011648, 879774953483212, 102267850763972, 4705893781750, sum=100404664729600000
61#: 18941471808, 1364909469272, 37061895389054, 533819646019146, 4750541971079288, 28315685699611148, 117814468725881400, 348670234291821660, 739274146614344880, 1124466391771257700, 1221928519275690798, 936111997855435902, 491575195563769104, 168569035829219240, 34965465993821636, 3859204778774964, 169412176143000, sum=5221042565939200000, OK
v=[0, 18, 42, 48, 60, 72, 78, 102, 120]+
41#: 0, 0, 0, 758, 89326, 3091248, 48566340, 414105864, 2088594974, 6471677666, 12460760032, 14849009836, 10769914192, 4612709288, 1116014794, 142693268, 8472894, 155520, sum=52985856000
43#: 0, 0, 4390, 530378, 21487376, 412806252, 4378469698, 27836251608, 110824126266, 281537034032, 457439437096, 471174259286, 301884510368, 116685618830, 26021766254, 3123992950, 175854336, 2954880, sum=1801519104000
47#: 16, 17344, 2430596, 122662020, 3007686390, 41061297390, 336840342136, 1738592109294, 5794508019544, 12606936033052, 17892583690224, 16393250487312, 9499388887826, 3370438448122, 698245584264, 78526737802, 4156511308, 65007360, sum=68457725952000
53#: 19926, 6126122, 497825984, 17628699880, 331000689394, 3644135419834, 24957444254544, 110219224886608, 320268297765740, 617225466011100, 787239816688522, 656799233642490, 350663643068320, 115776320110616, 22490860515166, 2384931265750, 119614691924, 1820206080, sum=3012139941888000
59#: 6912060, 1260891928, 74923996110, 2107029856718, 32849389481952, 309187357781636, 1848802297041018, 7243464579416510, 18913017041862990, 33111816649867794, 38741363913501246, 29917884731045294, 14910186933085454, 4632395455819022, 853254783553430, 86366684673002, 4162168607116, 61887006720, sum=150606997094400000
61#: 1620319048, 214153480548, 10067289375654, 234642020906990, 3122707484041876, 25624619597983000, 135749157719802398, 477260042408646870, 1130179099690781706, 1811221755079327602, 1956234016408550566, 1405555517169882502, 656628618249065446, 192608989746689878, 33719182045125370, 3262162030614930, 150890148970416, 2166045235200, sum=7831563848908800000, OK
v=[0, 24, 36, 54, 60, 66, 84, 96, 120]+
37#: 0, 0, 0, 4, 1484, 71126, 1228168, 10799116, 55788012, 179271254, 364914810, 474541240, 394432356, 206648150, 65855392, 11697802, 926630, 19656, sum=1766195200
41#: 0, 0, 20, 8902, 462082, 9752738, 107472574, 699234748, 2859951790, 7554333962, 13019802034, 14686682898, 10788687944, 5069711064, 1465814676, 238462420, 17514740, 353808, sum=56518246400
43#: 0, 28, 24996, 2036226, 61149276, 909361638, 7733022398, 40773359164, 139134689790, 313456751586, 469889453820, 468873711022, 308889250120, 131583913098, 34755224388, 5197097370, 354610328, 6722352, sum=1921620377600
47#: 28, 48674, 6687922, 302867184, 6391586192, 74119028208, 519377685556, 2327177947328, 6882357098496, 13649139287324, 18262619830792, 16460074226588, 9889071256520, 3869354858662, 942776181322, 130367730740, 8290135520, 147891744, sum=73021574348800
53#: 44980, 14200602, 1114459386, 36176814280, 603856557120, 5844075723778, 35279784837864, 138953830411368, 366524708879368, 656279349511564, 801427828304988, 665523489561984, 371350796365312, 135792162598620, 31045962274826, 4039034350280, 242945482048, 4140968832, sum=3212949271347200
59#: 16115632, 2870142824, 159359377744, 4058097297904, 56342293412212, 470368035896256, 2508014476785566, 8866473177300458, 21244559769505060, 34890227812538544, 39401422876920202, 30468324974667602, 15922187485195112, 5478321618848040, 1182733300139724, 145777668236576, 8353083009088, 136651971456, sum=160647463567360000
61#: 3708155688, 465096039512, 20142260780912, 424215941246144, 5056270263267456, 37155384547837428, 177433978173239242, 568947771134561090, 1248772680171069536, 1894294024708359412, 1990011335551992106, 1440267573783713026, 708105680452829000, 230212809337029696, 47130530428858152, 5527423052898720, 303034071841920, 4782819000960, sum=8353668105502720000, OK
v=[0, 30, 42, 48, 60, 72, 78, 90, 120]+
41#: 0, 0, 0, 196, 24338, 1018420, 19344982, 193530418, 1105342826, 3794936678, 8123881914, 11119446278, 9867280834, 5658712102, 2034982700, 425719676, 43205238, 1258200, sum=42388684800
43#: 0, 0, 820, 126340, 6468272, 152183580, 1914631976, 13962609542, 62011376688, 173502693398, 313390394548, 371845153058, 292435647196, 151423625302, 49927904564, 9693451376, 923457152, 25559388, sum=1441215283200
47#: 0, 3502, 671638, 41146492, 1181151638, 18421948736, 168778060154, 954290778594, 3444573607304, 8130754189922, 12767003270718, 13480524349240, 9594781689226, 4548350253956, 1384670399886, 249925044630, 22299658204, 584537760, sum=54766180761600
53#: 4194, 1879094, 185124298, 7426631322, 153489214112, 1831830345904, 13462447815800, 63434157187262, 196887233904736, 410040527882562, 579892941380892, 559972045832950, 368036673427898, 161864212022404, 45789223802102, 7684132119182, 639541875728, 15883059960, sum=2409711953510400
59#: 2035538, 446441684, 30035710876, 929621134884, 15715069236782, 158891334857612, 1014395132471302, 4234767977889966, 11834714116113248, 22490524646947290, 29341066099921510, 26360696169185082, 16222351094330848, 6711521532260766, 1792203878201920, 284725420808444, 22527186330664, 537911641584, sum=120485597675520000
61#: 552289660, 82839947636, 4290648948452, 108411712556444, 1548779997653596, 13554263533135576, 76305551938909654, 285242271933954454, 723142142931508522, 1260503220817948570, 1522292434057739322, 1275456756068558538, 736143823692623878, 286840194052996754, 72374628683799620, 10895275551203052, 820123205810832, 18826907455440, sum=6265251079127040000, OK