[{"0":1,"1":2,"2":3,"3":4,"4":6,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":24,"21":25,"22":26,"23":27,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":51,"46":52,"47":54,"48":55,"49":56,"50":58,"51":59,"52":60,"53":61,"54":62,"55":63,"56":64,"57":65,"58":66,"59":67,"60":68,"61":69,"62":70,"63":71,"64":72,"65":73,"66":74,"67":76,"68":77,"69":78,"70":79,"71":80,"72":81,"73":82,"74":83,"75":84,"76":85,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"85":94,"86":96,"87":97,"88":98,"89":99,"90":101,"91":102,"92":103,"93":104,"94":105,"95":106,"96":107,"97":108,"98":109,"99":110,"100":114,"101":115,"102":116,"103":117,"104":118,"105":119,"106":120,"107":121,"108":122,"109":123,"110":124,"111":125,"112":126,"113":127,"114":128,"115":130,"116":131,"117":132,"118":133,"119":134,"120":135,"121":136,"122":137,"123":138,"124":139,"125":140,"126":141,"127":142,"128":143,"129":144,"130":146,"132":148,"133":149,"134":150,"135":151,"136":152,"137":153,"138":155,"139":156,"140":157,"141":158,"142":159,"143":161,"144":162,"145":163,"146":164,"147":165,"148":166,"149":167,"150":168,"151":169,"152":170,"153":171,"154":172,"155":173,"156":174,"158":176,"159":177,"160":178,"161":179,"162":180,"163":181,"164":182,"165":183,"166":184,"167":185,"168":186,"169":187,"170":188,"171":189,"172":190,"173":191,"174":192,"175":193,"176":194,"177":195,"178":196,"179":197,"180":198,"181":199,"182":200,"183":201,"184":202,"185":203,"186":204,"187":205,"189":208,"191":211,"192":212,"193":213,"194":215,"195":216,"196":217,"197":218,"198":219,"199":220,"200":221,"201":223,"202":224,"203":225,"204":226,"205":227,"206":228,"207":229,"208":230,"209":232,"210":233,"211":234,"212":235,"213":236,"214":237,"215":238,"216":239,"217":240,"218":241,"219":242,"220":243,"221":244,"222":245,"223":247,"224":248,"225":249,"226":250,"227":251,"228":252,"229":253,"230":254,"231":255,"232":256,"233":257,"234":258,"235":259,"236":260,"237":261,"239":264,"240":265,"241":266,"242":267,"243":268,"244":269,"246":271,"247":272,"248":273,"249":274,"250":275,"251":276,"252":278,"254":281,"255":282,"256":283,"257":284,"258":285,"259":286,"260":287,"261":288,"262":289,"263":290,"264":291,"265":292,"266":293,"267":294,"268":295,"269":296,"270":297,"271":298,"272":300,"273":301,"274":303,"275":304,"276":305,"277":306,"278":307,"279":308,"280":309,"281":310,"283":312,"284":313,"286":315,"287":316,"288":317,"289":318,"290":319,"291":320,"292":321,"293":322,"294":323,"295":325,"296":326,"297":327,"298":328,"299":329,"300":330,"301":331,"302":332,"303":333,"304":334,"305":335,"306":336,"307":337,"308":338,"309":339,"312":342,"313":343,"314":344,"315":345,"316":346,"317":347,"318":348,"319":349,"320":350,"321":351,"322":352,"323":353,"324":354,"325":355,"326":356,"327":357,"328":358,"329":359,"330":360,"331":361,"332":362,"333":363,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"340":371,"341":372,"342":373,"343":374,"344":375,"345":376,"346":377,"347":378,"348":379,"349":380,"350":381,"351":382,"352":383,"353":384,"354":385,"355":386,"356":387,"357":388,"358":389,"359":390,"360":391,"361":393,"362":394,"363":395,"364":396,"365":397,"366":398,"367":399,"368":400,"369":401,"370":402,"371":403,"372":404,"373":405,"374":406,"375":407,"377":410,"378":411,"380":413,"381":414,"382":415,"383":416,"384":417,"385":418,"386":419,"387":420,"388":421,"389":423,"390":424,"391":425,"392":426,"393":427,"394":428,"395":429,"396":430,"397":431,"398":432,"400":434,"401":435,"402":436,"403":437,"404":438,"405":439,"406":440,"407":441,"408":442,"409":443,"410":444,"411":445,"412":446,"413":447,"414":448,"415":449,"416":450,"417":451,"418":452,"419":453,"420":454,"421":456,"422":457,"423":460,"424":462,"425":463,"426":464,"427":465,"428":466,"429":467,"430":468,"431":469,"432":470,"433":471,"434":472,"435":473,"436":474,"437":475,"438":476,"439":478,"440":479,"441":480,"442":482,"443":483,"444":484,"445":485,"446":487,"447":488,"448":489,"449":490,"450":491,"451":492,"452":493,"453":494,"454":496,"455":497,"456":498,"457":499,"458":500,"459":501,"460":502,"461":503,"462":504,"463":505,"464":506,"465":507,"466":508,"467":509,"468":510,"469":511,"470":512,"471":513,"472":518,"473":521,"474":528,"475":531,"476":532,"477":534,"478":535,"479":539,"480":542,"481":543,"482":544,"483":547,"484":552,"485":553,"486":556,"487":558,"488":563,"489":566,"490":567,"491":570,"492":571,"493":579,"494":584,"495":585,"496":589,"497":590,"498":591,"499":594,"500":595,"501":596,"502":600,"503":604,"504":605,"505":606,"506":608,"507":611,"508":613,"509":616,"510":619,"511":624,"512":628,"513":629,"514":630,"515":633,"516":634,"517":635,"518":638,"519":640,"520":642,"521":646,"522":647,"523":650,"524":652,"525":653,"526":654,"527":657,"528":658,"529":661,"530":666,"531":667,"532":669,"533":671,"534":674,"535":675,"536":691,"537":695,"538":696,"539":698,"540":700,"541":704,"542":706,"543":707,"544":709,"545":714,"546":717,"547":724,"548":727,"549":730,"550":731,"551":733,"552":734,"553":735,"554":736,"555":738,"556":739,"557":742,"558":744,"559":745,"560":750,"561":752,"562":755,"563":756,"564":758,"565":760,"566":762,"567":764,"568":767,"569":772,"570":773,"571":775,"572":776,"573":777,"574":778,"575":781,"576":783,"577":784,"578":785,"579":786,"580":788,"581":789,"582":792,"583":799,"584":808,"585":809,"586":810,"587":812,"588":814,"589":815,"590":816,"591":818,"592":819,"593":823,"594":828,"595":830,"596":831,"597":834,"598":839,"599":842,"600":845,"601":846,"602":850,"603":851,"604":854,"605":858,"606":861,"607":863,"608":864,"609":865,"610":869,"611":871,"612":872,"613":873,"614":874,"615":876,"616":881,"617":892,"618":894,"619":895,"620":900,"621":906,"622":911,"623":915,"624":919,"625":921,"626":927,"627":928,"628":929,"629":932,"630":935,"631":937,"632":940,"633":942,"634":944,"635":945,"636":947,"637":949,"638":950,"639":951,"640":952,"641":955,"642":957,"643":961,"644":968,"645":971,"646":972,"647":975,"648":977,"649":983,"650":990,"651":992,"652":993,"653":999,"654":1000,"655":1001,"656":1006,"657":1010,"658":1015,"659":1016,"660":1018,"661":1021,"662":1022},{"0":0,"1":5,"2":16,"3":23,"4":49,"5":50,"6":53,"7":57,"8":75,"9":95,"10":100,"11":111,"12":112,"13":113,"14":129,"15":145,"16":154,"17":160,"18":206,"19":209,"20":214,"21":222,"22":231,"23":246,"24":262,"25":277,"26":279,"27":299,"28":324,"29":364,"30":392,"31":409,"32":422,"33":455,"34":458,"35":459,"36":461,"37":477,"38":481,"39":486,"40":495,"41":516,"42":522,"43":524,"44":527,"45":529,"47":538,"48":545,"49":546,"50":548,"51":550,"52":569,"53":574,"54":575,"56":583,"57":587,"58":597,"59":599,"60":602,"61":607,"62":609,"63":610,"64":612,"65":618,"66":620,"67":622,"68":625,"69":631,"70":632,"71":636,"72":643,"73":648,"74":659,"75":660,"76":662,"77":663,"78":664,"79":668,"80":670,"81":672,"82":673,"83":678,"84":680,"85":683,"86":684,"87":686,"88":689,"89":690,"90":693,"91":694,"92":697,"93":702,"94":705,"95":710,"96":711,"97":712,"98":713,"99":718,"100":725,"101":729,"102":732,"103":740,"104":743,"105":746,"106":747,"107":748,"108":759,"109":761,"110":765,"111":766,"112":770,"113":774,"114":779,"115":790,"116":791,"117":795,"118":800,"119":802,"120":805,"121":806,"122":807,"123":811,"124":813,"125":817,"126":822,"127":824,"128":826,"129":829,"130":837,"131":841,"132":847,"133":848,"134":849,"135":866,"136":875,"137":877,"138":889,"139":891,"140":893,"141":896,"142":897,"143":898,"144":899,"145":905,"146":914,"147":916,"148":917,"149":922,"150":924,"151":931,"152":934,"153":936,"154":938,"155":941,"156":948,"157":953,"159":959,"160":960,"161":962,"162":980,"163":982,"164":984,"165":985,"166":988,"167":989,"168":991,"169":994,"170":995,"171":996,"172":1002,"173":1005,"174":1008,"175":1011,"176":1012},[302,514,541,561,562,572,577,586,588,615,645,679,681,692,708,716,719,721,737,780,793,804,821,825,827,835,857,862,870,902,903,913,918,926,933,939,943,956,963,970,974,981,987,998,1004,1007,1009,1017],[515,519,523,536,540,555,592,614,651,655,699,722,723,726,741,749,757,771,796,838,844,853,856,860,901,908,923,969,976,1003,1013,1014,1023],[520,526,557,560,564,565,568,581,593,601,617,626,641,676,701,753,763,782,798,820,833,966,967,973,997],[549,573,578,621,623,677,687,688,703,720,751,754,794,797,832,852,859,882,885,886,887,888,912,925,946],[517,551,598,627,644,685,715,769,855,867,868,878,879,904,910,954,964,978,979,986],[559,649,682,787,803,840,843,920,930,965,1020],[537,637,665,728,884,907,909,1019],[533,554,639,883,890],[580,836],[582,656,768],[525,603,801],[880]]