[{"0":0,"1":2,"2":3,"3":4,"4":6,"5":7,"6":8,"7":9,"8":10,"9":12,"10":13,"11":16,"12":17,"13":18,"14":19,"15":21,"16":22,"17":23,"18":25,"19":26,"20":29,"21":30,"22":31,"23":32,"24":33,"25":34,"26":35,"27":36,"28":38,"29":39,"30":40,"31":41,"32":42,"33":43,"34":44,"35":45,"36":46,"37":47,"38":48,"39":49,"40":50,"41":51,"42":52,"43":53,"44":54,"45":55,"46":57,"47":58,"48":59,"49":60,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":67,"57":68,"58":69,"59":70,"60":72,"61":73,"62":74,"63":76,"64":77,"65":78,"66":79,"67":81,"68":82,"69":83,"70":84,"71":85,"72":86,"73":88,"74":89,"75":90,"76":91,"77":92,"78":93,"79":94,"80":95,"81":96,"82":98,"83":99,"84":100,"85":101,"86":102,"87":104,"88":105,"89":106,"90":107,"91":108,"92":109,"93":110,"94":111,"95":112,"96":113,"97":114,"98":115,"99":116,"100":117,"101":118,"102":121,"103":122,"104":123,"105":124,"106":125,"107":126,"108":127,"109":128,"110":130,"111":132,"112":133,"113":134,"114":135,"115":136,"116":137,"117":138,"118":139,"119":141,"120":142,"121":143,"122":144,"123":145,"124":146,"125":147,"126":148,"127":149,"128":150,"129":151,"130":152,"131":153,"132":154,"133":156,"134":157,"135":158,"136":159,"137":160,"138":161,"139":162,"140":163,"141":164,"142":165,"143":166,"144":168,"145":169,"146":170,"147":172,"148":173,"149":174,"150":175,"151":176,"152":177,"153":178,"154":179,"155":181,"156":182,"157":183,"158":184,"159":185,"160":186,"161":187,"162":188,"163":189,"164":190,"165":191,"166":192,"167":193,"168":194,"169":196,"170":197,"171":198,"172":200,"173":202,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":209,"181":210,"182":211,"183":214,"184":215,"185":217,"186":220,"187":221,"188":223,"189":224,"190":225,"191":226,"192":227,"193":228,"194":229,"195":230,"196":232,"197":233,"198":234,"199":235,"200":236,"201":237,"202":238,"203":239,"204":240,"205":244,"206":245,"207":246,"208":247,"209":249,"210":250,"211":251,"212":254,"213":255,"214":256,"215":258,"216":259,"217":260,"218":261,"219":262,"220":263,"221":264,"222":265,"223":266,"224":267,"225":268,"226":269,"227":270,"228":271,"229":272,"230":273,"231":274,"232":275,"233":276,"234":277,"235":278,"236":279,"237":280,"238":281,"239":282,"240":283,"241":284,"242":285,"243":286,"244":287,"245":288,"246":289,"247":291,"248":292,"249":293,"250":294,"251":295,"252":296,"253":297,"254":299,"255":300,"256":302,"257":303,"258":304,"259":305,"260":306,"261":307,"262":308,"263":309,"264":310,"265":311,"266":313,"267":314,"268":315,"269":316,"270":317,"271":318,"272":319,"273":321,"274":322,"275":323,"276":324,"277":325,"278":326,"279":327,"280":328,"281":329,"282":330,"283":331,"285":334,"286":335,"287":336,"288":337,"289":338,"290":339,"291":340,"292":341,"293":342,"294":343,"295":344,"296":345,"297":346,"298":347,"299":349,"300":350,"301":351,"302":352,"303":353,"304":354,"305":355,"306":356,"307":357,"308":358,"309":359,"310":360,"311":361,"312":362,"313":364,"314":365,"315":366,"316":368,"317":369,"318":370,"319":372,"320":373,"321":374,"322":375,"323":376,"324":378,"327":381,"328":382,"330":384,"331":385,"332":386,"333":387,"334":388,"335":389,"336":390,"337":391,"338":392,"339":393,"340":394,"341":395,"342":397,"343":398,"344":399,"345":400,"346":401,"347":402,"348":404,"349":405,"350":406,"351":408,"352":409,"353":410,"354":412,"355":413,"356":415,"357":416,"358":417,"359":418,"360":420,"361":421,"362":423,"363":424,"364":425,"365":426,"366":427,"367":428,"368":429,"369":431,"370":432,"371":433,"372":434,"373":436,"374":437,"375":438,"376":439,"377":441,"378":442,"379":443,"381":445,"382":446,"383":447,"384":448,"385":449,"386":450,"387":451,"388":452,"389":453,"390":456,"391":457,"392":458,"393":459,"394":460,"395":461,"396":462,"397":463,"398":464,"399":465,"400":466,"401":467,"402":468,"403":469,"404":470,"405":471,"406":472,"407":473,"408":474,"409":475,"410":477,"411":478,"412":479,"413":480,"414":481,"415":482,"416":483,"417":484,"418":485,"419":486,"420":488,"421":489,"422":491,"423":492,"424":493,"425":494,"426":495,"427":496,"428":497,"429":498,"430":499,"431":503,"432":504,"433":505,"434":507,"435":508,"436":509,"437":510,"438":511,"439":516,"440":517,"441":519,"442":520,"443":521,"444":523,"445":526,"446":527,"447":529,"448":533,"449":539,"450":540,"451":543,"452":544,"453":548,"454":550,"455":551,"456":555,"457":557,"458":560,"459":563,"460":565,"461":574,"462":575,"463":576,"464":583,"465":585,"466":586,"467":589,"468":590,"469":594,"470":596,"471":598,"472":599,"473":600,"474":603,"475":605,"476":607,"477":614,"478":621,"479":623,"480":628,"481":629,"482":634,"483":635,"484":636,"485":638,"486":642,"487":644,"488":648,"489":653,"490":655,"491":658,"492":665,"493":666,"494":668,"495":670,"496":671,"497":672,"498":676,"499":683,"500":688,"501":690,"502":695,"503":696,"504":697,"505":698,"506":700,"507":703,"508":704,"509":705,"510":706,"511":707,"512":709,"513":711,"514":714,"515":716,"516":723,"517":724,"518":726,"519":727,"520":729,"521":731,"522":735,"523":736,"524":737,"525":740,"526":748,"527":751,"528":752,"529":753,"530":754,"531":757,"532":762,"533":763,"534":770,"535":771,"536":772,"537":773,"538":774,"539":775,"540":776,"541":777,"542":779,"543":782,"544":784,"545":786,"546":793,"547":800,"548":802,"549":803,"550":804,"551":808,"552":814,"553":815,"554":816,"555":817,"556":824,"557":826,"558":828,"559":830,"560":831,"561":834,"562":835,"563":836,"564":843,"565":845,"566":848,"567":855,"568":857,"569":860,"570":863,"571":864,"572":865,"573":867,"574":868,"575":873,"576":875,"577":878,"578":880,"579":881,"580":882,"581":896,"582":897,"583":900,"584":905,"585":907,"586":908,"587":910,"588":915,"589":916,"590":918,"591":920,"592":921,"593":922,"594":923,"595":924,"596":928,"597":930,"598":931,"599":933,"600":935,"601":936,"602":937,"603":940,"605":945,"606":948,"607":950,"608":951,"609":955,"610":956,"611":957,"612":958,"613":960,"614":961,"615":962,"616":963,"617":964,"618":967,"619":969,"620":971,"621":972,"622":975,"623":977,"624":978,"625":982,"626":983,"627":990,"628":991,"629":992,"630":993,"631":994,"632":995,"633":996,"634":1000,"635":1001,"636":1003,"637":1005,"638":1006,"639":1007,"640":1008,"641":1010,"642":1012,"643":1014,"644":1015,"645":1017,"646":1019,"647":1020},[1,5,11,14,15,20,24,27,28,37,56,71,75,80,87,97,103,119,120,129,140,167,171,180,195,199,201,212,213,216,218,219,222,231,241,242,243,248,252,253,257,290,298,301,312,320,332,348,363,367,371,377,396,403,407,411,414,419,422,430,435,440,454,455,476,487,490,500,501,502,506,513,522,524,530,532,534,535,536,537,541,545,546,547,552,553,554,559,561,564,568,571,572,573,577,578,579,581,582,587,588,591,592,593,595,601,602,604,606,609,610,611,613,617,619,622,626,627,630,631,632,637,639,640,641,643,646,647,652,654,657,660,663,667,673,674,677,678,679,685,691,692,693,694,701,702,708,710,712,713,718,721,733,739,743,744,745,746,747,749,758,759,760,761,764,766,767,768,785,787,795,796,797,798,799,801,805,806,809,811,812,813,820,821,822,827,833,838,839,841,842,846,847,849,850,851,852,853,854,858,861,862,869,870,871,872,877,879,884,885,886,889,891,892,893,894,895,899,901,909,911,913,914,917,919,929,934,939,944,946,952,953,954,959,965,968,973,979,980,981,985,986,987,988,989,998,1009,1011,1013,1016,1018,1022,1023],{"0":131,"1":155,"2":514,"3":515,"4":518,"5":528,"6":531,"7":538,"8":549,"9":558,"10":566,"11":567,"12":569,"13":570,"14":584,"15":615,"16":620,"17":625,"18":645,"19":649,"20":650,"21":651,"22":661,"23":664,"24":669,"25":675,"26":681,"27":682,"28":684,"29":687,"30":699,"31":725,"32":728,"33":730,"34":732,"35":734,"36":738,"38":750,"39":765,"40":769,"41":780,"42":783,"43":789,"44":792,"45":810,"46":819,"47":823,"48":825,"49":829,"50":832,"51":837,"52":856,"53":859,"54":874,"55":876,"56":887,"57":898,"58":904,"59":906,"60":912,"61":925,"62":927,"63":932,"64":941,"65":943,"66":947,"67":970,"68":1002,"69":1004},[512,542,580,608,612,624,633,656,680,686,715,719,722,742,755,756,788,818,840,844,888,890,902,903,976,984,999,1021],[556,616,618,662,689,720,791,794,807,866,883,926,938,966,974,997],[525,562,597,659,717,781,790],[949],[]]