var primary = new Array(0,23,45,66,86,105,123,140,156,171,185,198,210,221,231,240,-1,248,254,259);
var secondary = new Array(
0,1683,3215,5482,7466,10101,10418,11044,11290,11699,11715,11810,12030,12139,12224,12301,12335,12345,12369,12385,12388,12388,12389,
12390,12626,12880,13375,14081,14108,14264,14311,14409,14412,14431,14479,14503,14534,14573,14576,14576,14582,14588,14590,14591,14591,
14591,14920,15698,17124,17196,17390,17565,17778,17781,17851,17916,17940,17979,18026,18032,18032,18042,18047,18047,18047,18047,
18047,18564,20879,20953,21116,21178,21350,21351,21362,21410,21426,21468,21510,0,21512,21515,21520,21521,21521,21521,
21521,22898,23396,24067,24506,25467,25505,25590,25872,26005,26154,26314,26370,26376,26410,26430,26431,26431,26431,
26431,26529,26655,26698,26835,26837,26851,26899,26906,26920,26958,26958,26958,26964,26968,26969,26971,26971,
26971,27110,27309,27847,27849,27850,27909,27923,27955,27979,27983,27983,27988,27993,27993,27993,27993,
27993,28010,28155,28159,28181,28218,28265,28300,28349,28354,28354,28361,28364,28364,28364,28364,
28364,28462,28484,28563,28703,28770,28862,28898,28934,28939,28948,28961,28967,28967,28967,
28967,28967,28971,28980,28983,28987,28994,28994,28994,28995,28996,28996,28996,28996,
28996,29004,29028,29036,29061,29083,29083,29083,29085,29087,29087,29087,29087,
29087,29124,29147,29158,29208,29216,29216,29224,29230,29230,29230,29230,
29230,29248,29273,29331,29344,29344,29347,29354,29355,29356,29356,
29356,29370,29418,29428,29428,29431,29436,29437,29437,29437,
29437,29479,29523,29523,29546,29558,29559,29559,29559,
29559,29562,29562,29573,29578,29581,29581,29581,
// Q ------------------------------------
29581,29581,29590,29590,29590,29590,
29590,29592,29594,29594,29594,
29594,29596,29596,29596,
29596);
anags = new Array (
[203313,1107295],[238993,12721835],[1121650,8591037],[1151571,8623797],[1157555,8623797],[36204,10695440],[1158546,10695447],[1160621,6472634],
[1263220,12519010],[1423857,12818274],[1453,6429312],[46514,6429360],[50777,6493480],[1593,6460672],[2167281,6528165],[2120,838272],
[67858,838320],[2180723,6494887],[2199820,838642],[69004,10590384],[2209198,1359778],[70063,12752656],[2242034,12752663],[2305622,13390804],
[2370957,12829397],[2436493,1515164],[77197,1219736],[2470322,1219743],[2415,1218176],[77298,1218224],[78386,8558256,8598352],[2508370,8598359],
[2541141,6463142],[79413,6462624],[79443,6429584],[2542195,6448085],[79475,6443920],[2673368,6429885],[83672,6429360],[84565,6443920],
[2707160,6443927],[3288466,14849443],[3491381,442036],[109965,10695440],[3518898,10695447],[111027,836976],[3473,1447552],[111154,1447600],
[4436403,1636586],[139661,1620752],[4542168,10630039],[142937,1623720],[4473,1361536],[4771544,11289495],[169323,1416464],[5518931,6484898],
[181976,6429360],[6567473,990997],[208268,1361584],[6664594,1361591],[208306,8591184],[6665810,8591191],[209329,1359008],[6698546,1359015],
[7614897,10591924],[238066,1416464],[7779925,12818771],[8760721,12721877],[8760819,12721877],[273809,10624208],[8829425,12818778],[279092,1252048],
[307698,10590384],[10869464,10630039],[11910739,10591910],[372211,10591392],[11666,10589440],[373330,10589488],[383768,6461616],[12717,6429312],
[13023729,12738138],[12719,10622592],[407026,10622640],[13061748,2016882],[14076501,10721046],[439893,10688272],[507480,6429864],[15864,6429312],
[16270964,6461910],[34672178,15738485],[1083526,8467368],[34672850,8467375],[34672977,4445798],[34677297,4404204],[34738545,5272309],[1085645,5269096],
[34740658,5269103],[34744685,4444916],[34745714,4441710],[34873707,5441359],[1100408,4319336],[35721450,4322101],[35724627,4319567],[35727695,4316774],
[35729875,6527402],[35754259,681597],[35754323,4319357],[35754349,4398828],[35757389,4319868],[35757393,10732638],[35758411,14861406],[35760694,4316788,9991261],
[35760696,4316788],[35791212,2011828],[35791245,1659868],[35791411,4323753],[35793260,7894124],[1118573,4365536],[35794353,4449004],[35794354,4365543],
[1118575,6493536],[1118609,10589600],[35800659,6363966],[1118771,6363952],[35801684,573286],[35822923,10732638],[35826027,8615005],[35891570,4316284],
[35891798,4316788],[35922290,4443481],[35924339,14836829],[35925400,1716911],[35925421,6518925],[35927474,6480551],[35932791,12830293],[1122935,10700368],
[35991032,13923420],[35995224,10724070],[1124856,10691296],[1124913,4383456],[35997234,4383463],[1099,6363136],[1125880,6460720],[35186,6363456],
[36128339,967806],[1129011,967792],[35378,11289216],[1132114,11289264],[36227699,714847],[35412,572160],[36802707,7619983],[36802765,4436908],
[36802797,13907068],[1150097,726880],[1150221,4404064],[36810162,4314023],[1124,4244992],[36835697,15741621],[36837645,4320876],[36837745,12333748],
[1151181,4404064],[36837810,4404071],[1151218,584472],[36842040,6532365],[36842868,10728116],[36842893,6517420],[36842961,1012396],[36845172,15999907],
[36845238,14894187],[36846130,15739507],[35985,694016],[1151538,694064],[35986,579776],[35987,579776],[1153261,10695776],[36904370,10695783],
[36905393,759668],[36910549,14816683],[1153458,12760160],[36910674,12760167],[36911732,8492414],[36938161,8582259],[36941165,8631406],[36941169,8631406],
[36943443,8627038],[1154483,8594264],[1155473,4412184],[36975154,4412191],[37041586,14857332],[36203,4346560],[1158514,4346608],[37072536,8598191],
[37073336,6480551],[37075411,5536139],[37078614,5518310],[1158710,5518240],[37107122,4374286],[1159601,1712984],[37107250,1712991],[1160622,575400],
[37139922,575407],[37140084,771694],[37144120,4378227],[1160754,12727400],[37144146,12727407],[36305,662208,705216],[37176952,5271147],[1161781,5530336],
[37276243,4387614],[1164883,4383512],[37886289,6130796],[37891442,14856884],[37891469,1700524],[37891638,15491756],[1184115,6493536],[37004,1417984],
[1184142,1520736],[37893558,14869148],[1184939,1217944],[1184971,10060904],[37919090,10060911],[1185990,4346776],[1186001,8594264],[1186161,1455496],
[37957172,1733291],[37960243,743547],[37960275,12672611],[1186353,4383512],[37963314,4383519],[1186387,13378344],[37075,11281152],[37989875,1524383],
[37989974,14893739],[1188204,1709400],[38022709,14893739],[1188402,1221528],[38028882,1221535],[38028885,695611],[38120851,13399141],[38120943,12743339],
[38120952,13660843],[1191282,12719448],[38121109,14836395],[38122067,8561595],[1191342,576856],[38122962,576863],[38124081,1662668],[1191409,10687768],
[38125106,10687775],[38125138,10711715],[1191416,10687768],[37233,1353920],[38127224,5198284],[38129268,10582131],[38129271,4384975,4384975],[1191540,10569328],
[38129303,10569335],[1191543,10687768],[37241,662208],[1164,1155584],[37262,1225792],[1192402,1225840],[37266,1155904],[38188630,14832286],
[1193398,12735128],[38192691,646247],[38225459,1395961],[1197651,668528],[1170,574976],[37458,575296],[37459,579328],[1171,574976],
[1217912,922992],[39169619,6517861],[39121,10593024],[40060467,5519479],[39122,6464256],[1251922,6464304],[1253740,12735576],[40119698,12735583],
[39181,4246208],[1253809,4404008],[40121906,4404015],[1253810,584024],[1253811,584024],[39185,1221312],[1253938,1221360],[40219058,15750259],
[40224408,1434279],[40286777,6497085],[1263187,8594152],[39475,8561344],[41138740,5961249],[41168500,6376909],[41175667,6376573],[1286771,6376048],
[41335412,2053212],[1291,8466944],[41323,8467264],[1322354,8467312],[1322392,1414448],[42317236,5004748],[42317265,4451020],[42317432,4364535],
[42318419,12698959],[42321592,12759719],[1323409,8600200],[42349106,8600207],[42351154,1141721],[42383922,728812],[42388051,717542],[1324627,713440],
[42419827,585501],[44412401,4349051],[44513881,4442830],[1391065,4410056],[45465080,10609319],[1420883,4309872],[1421016,10601136],[45495761,716555],
[44434,4313856],[1421906,4313904],[45501011,6431614],[1421907,6431600],[1421912,743512],[1389,4331008],[1422963,5002032],[45567640,6526261],
[45599320,8577695],[1427060,10577504],[1394,4309504],[44627,4331328],[1420,6431232],[45458,6431552],[1455571,5531232],[45489,4371200],
[1455699,4350696,4413024],[45491,4346560,4371200],[1426,8495616],[45650,8495936],[47626841,5605838],[1488345,5605768],[1488472,4317992],[46520,4313856],
[1591956,9766792],[1623701,5008136],[50,4239360],[69289624,649831],[69307538,4436789],[69308684,576499],[69308782,654437],[2165906,4404008],
[69309010,4404015],[67688,5605440],[2166033,4409944],[2166034,5605488],[69319352,1266783],[69341619,5474126],[69342574,6056540],[2167346,4371360],
[69355090,4371367],[69355124,653940],[69378417,8628942],[69411187,8590827],[67815,5257792],[69444017,1635627],[2170129,1655640],[69447027,4438126],
[69447121,5273485],[69448110,6043982],[69476947,13242201],[2171244,643888],[69479826,643895],[69480051,12679373],[69484152,4364087],[2172241,4408040],
[69511730,4408047],[69578323,4436782],[2174323,4404008],[69584468,646758],[2174516,646240],[68013,4338496],[2176434,4338544],[2176696,10557680],
[2126,4298752],[2177588,5932640],[69683827,12068476,13709773],[2177651,11612552],[2180690,4338544],[70357429,1023148],[2198797,4406024],[70389991,13644477],
[70390002,13644925],[2199692,571816],[70390258,10292317],[68741,10557184],[2199730,10557232],[70392143,14771043],[70393233,8137612],[2199793,5530336],
[70393394,5530343],[70393459,1807715],[70394289,14799764],[70395315,955703],[70396531,1807715],[70397325,12817763],[70397361,4377807],[70397394,4443019],
[70397427,13902819],[70397555,10576867],[2199960,571760],[70399475,14889812],[70399573,1022630],[70399577,4312014],[2199989,989856],[2199993,4311944],
[70400629,1037428],[70402712,941143],[68753,1382144],[2200114,1382192],[70403669,4300590],[2200117,4300072],[2200120,6497120],[70405748,717731],
[2200181,12655384],[70459825,4438798],[2151,6373888],[70492591,8600207],[70492593,1878443],[70495800,5270111],[2203025,7874888],[70496818,7874895],
[70497843,8565879],[68850,6374208],[70528433,4438413],[70528473,16367757],[2204017,12698728],[70528561,12735611],[70528562,12698735],[70529587,7885794],
[70530643,1545502],[2204083,1512728],[70536856,1676591],[70560342,8476286],[2205014,8476272],[2207154,13129312],[70628946,13129319],[2207185,4409944],
[70629938,4409951],[70629939,4421963],[2207217,11543448],[70630962,11543455],[70660561,4436789],[70661585,4436789],[69007,8495936],[69041,4332224],
[2209330,4332272],[70728277,1975022],[2210261,1712872],[71439727,14891604],[71440757,5869164],[71440882,16262764],[2232529,734048],[71440946,734055],
[2232561,6493536],[71441970,6493543],[71441971,16263884],[71445075,15475558],[2232659,13378400],[71446067,10566780],[71446099,7932540],[71447091,10566780],
[71448114,5213453],[71450194,13399148],[2232947,644000],[71454357,8137836],[71454391,8195180],[69803,8495936],[69809,4364480],[2233905,4375448],
[2233906,4364528],[71485010,9708447],[71485043,1521751],[71508333,1981777],[71508529,4422243],[71508533,16059491],[2234703,12669720],[71510514,12669727],
[2234801,4412184],[71541137,5431545],[71545427,13253177],[2235823,12752152],[71550547,16001230],[2235955,13904072],[71551603,1807645],[71551604,5269117],
[2236019,1512728],[2236020,5265008],[71552663,5265015],[71576940,4438945],[71576941,1524691],[71576973,4365627],[71577010,4397883],[71577017,4397883],
[71577141,4430622],[2236813,1620752],[71578034,1523466],[71579186,4365599],[71579189,14893907],[71581234,1276499],[2236981,1628312,4408152],[71585397,708211],
[71641462,4341365],[2238895,12755736],[71644658,12755743],[71645779,10724126],[2238931,10691352],[71648883,1807645],[71675249,1223887],[71675347,1238139],
[2239885,10687768],[71676338,10687775],[2239889,4397792],[71676466,4397799],[71677425,12829523],[71677427,13641593],[71677432,1566803],[71677525,14817950],
[2239924,8481368],[2239925,12720792],[69999,10622144],[2239986,10622192],[71679571,11543518],[71679572,13131531],[2239987,11543448],[71681752,5344143],
[71682675,8479709],[71682680,4397547],[2240115,8475544],[71683865,4364731],[2240913,8479576],[71710194,16262925],[2240949,4405352],[70033,4340288],
[2241074,4340336],[71714386,8614571],[70063,4332224],[71745074,10628303],[2242034,4332272],[71745108,12822348],[70065,1382592],[71747187,11283559],
[71748181,4354910],[2191,1091072],[71879252,4316942],[71879283,4384891],[2246228,4316424],[71913076,717724],[2247285,12655328,4404064],[71914200,4376463],
[2248308,680792],[70261,10557632,4371200],[72594003,4384863],[70923,6374208],[72625528,6374263],[2269554,6374256],[72627795,6463254],[2269619,6462736],
[72631859,1223775],[72631923,1525335],[70930,6465600],[2269778,6465648],[72657263,7895125],[2272632,6443696],[72730195,7369838,7614054],[2272819,7365736,7613536],
[2272884,6380640],[2274899,4317992],[71091,4313856],[71218,7349056],[73644537,6546085],[73671053,12698959],[2302315,7612528],[2302316,12698728],
[73674165,6484898],[73675183,4387614],[73676405,14753067],[73681528,10589495],[73773524,7370153],[73775699,4430174],[2305491,4397400],[73844408,12702487],
[74698456,6465935],[74722735,5012070],[74722869,1653197],[74723761,5001038],[74723889,1746535],[74723890,1651517,5007849],[74724950,5000079],[74726995,5002214],
[2335219,5002144],[74727027,5002172],[74795606,6376062],[74795640,6544468],[2337366,6376048],[74856054,14886669],[74858040,11298903],[74892883,16017036],
[2340408,1103088],[73138,1417984],[2340434,1418032],[74923505,1538131],[2344499,4397400],[75025112,1129597],[2344664,1129072],[73331,1217728],
[75869752,12661551],[75870643,5257847],[75870840,4332279],[2370993,5789280],[75871797,4413388],[75871860,10741388],[75871864,1363866],[75872883,12698959],
[75873875,4374118],[2371059,4373600],[75873912,1824396],[74097,10564352],[75875960,1092343],[74125,4309824,8565376],[75904465,8462251],[2372018,4309872,8565424],
[75905587,1754074],[75938355,12698959],[75938421,14753004],[75939411,4387558],[2373107,4383456],[75940468,717542],[74161,5523008],[75941465,6051598],
[2373177,5789448],[2373203,10688720],[2374131,12761224],[76007032,10622199],[2376308,1252048],[74293,4371200],[75083,6374208],[2402674,6374256],
[2402703,6480544],[2402898,6374256],[77936114,7630420],[77974134,4420381],[2436726,4383512],[2438706,10642072],[78038610,10642079],[2443891,1512672],
[76403,1217728],[79017528,4412135],[79021624,4386396],[79021656,10691303],[79022744,4383463],[79023768,713447],[79050162,5005070],[2413,4331008],
[77233,4375232],[77234,4331328],[2471508,6383720],[79089336,12654943],[77236,6379584],[79119924,9711310],[2472531,5266520],[79150643,5001101],
[79153748,11030222],[2473556,11029704],[79154804,4364766],[77362,8561344],[2475602,8561392],[79219349,14855372],[2475704,4364080],[2476628,4350696],
[79253112,4364262],[79253144,4350703],[77396,4346560,4375232],[77428,676544],[80132561,6365044],[2504280,4404008],[78264,4371200],[2505266,12757192],
[80168530,12757199],[80266835,15742062],[2508339,13644904],[2508370,10625944],[2508371,12726952],[78387,10629760],[78422,6363904],[2454,6363136],
[81250899,4349534],[2539091,4349016,4404008],[79347,4371200],[81316467,13646423],[79416,4299072],[2542165,4317992],[79445,4313856],[79477,10557184],
[82366068,2012430],[81400,6427968],[2607734,4376176],[83539,4299520],[85544563,1520316],[2673269,5006176],[2611,4298752],[2674291,1225392],
[2674328,676592],[83573,5001984],[86627032,5639291],[2740952,5343856],[103911559,5521292],[3247245,646408],[103913905,12346572],[3248332,4397848],
[103947629,11545723],[103947661,10726492],[103947833,10722467],[103948851,12669923],[103952819,10691555],[103952952,4439309],[3248559,5258344],[3248625,10687768],
[3248627,580888],[3248694,1627416],[104013165,9972347],[3250609,9983064],[104019506,9983071],[104046989,8629355],[101643,10569280],[104181176,8596063],
[104183350,8564339],[104253011,14435435],[104288024,4413647],[104995057,13380367],[104995381,1958754],[104999350,1890210],[105000365,1815394],[105000431,1815394],
[105001395,7627746],[105002611,1520764],[105004529,1520610],[105004530,1520610],[105005684,646772],[3281459,957712],[105029203,8640086],[3282163,8607312],
[3206,574976],[3283182,9983568],[105062833,6052963,8628137],[105063027,1237978],[105066069,12776218],[102604,4364480],[3283341,10688720],[105066993,14869274],
[3283346,4364528],[105067090,10711834],[102605,1168448],[105068081,1809178],[3283378,1168496],[105072216,14852894],[105072244,9711219],[3283509,10688720],
[3283512,12755736],[102610,575296],[105073236,1536794],[3283541,10688720],[3207,1152000],[3284241,1525328],[105095729,5533465],[105095730,1525335],
[105095896,9777551],[105098639,9185911],[3284365,9185904],[3284370,1710800],[105099859,10713290],[105100853,15665804],[105104950,8564339],[105104978,8560090],
[105104982,14861910],[3284534,12764752],[105106008,10699738],[105131410,12752159],[105131506,12766803],[105131570,14851354],[105131602,1808730],[105131637,14861427],
[3285365,1624784],[105132465,10734675],[105132467,1725402,5264315],[105133683,1808730],[105135666,10687803],[105135733,580923],[105137747,10568670],[3285555,10568600],
[105138803,10699738],[3285622,1624784],[3287384,8592080],[105198001,10694243],[105229807,1808730],[3288440,1219792],[105230769,1130318],[3288465,1108688],
[3288497,735840],[105231960,1363866],[105232153,1363418],[105233907,10642394],[105233976,10699738],[3288632,1225392],[3289485,8606360],[105264723,8561630],
[3289523,8561560],[105268788,8560286],[3289682,1105104],[102809,1103488],[105297491,1121246],[3290547,1121176],[105301555,8578010],[105301589,15632526],
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