[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"6":7,"7":9,"8":10,"10":12,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":25,"24":26,"25":27,"26":28,"27":29,"28":30,"30":32,"31":33,"32":34,"33":35,"34":36,"35":37,"36":38,"37":40,"38":41,"39":42,"40":43,"41":44,"42":45,"43":46,"44":47,"46":49,"47":50,"48":51,"49":52,"50":53,"51":54,"52":55,"53":56,"54":57,"55":58,"56":59,"57":60,"58":62,"59":63,"60":64,"61":66,"62":67,"63":68,"64":69,"65":70,"66":71,"67":72,"68":74,"69":75,"70":76,"71":78,"72":79,"73":80,"74":81,"75":83,"76":84,"77":85,"78":86,"79":87,"80":88,"81":89,"82":90,"83":91,"84":92,"85":94,"86":95,"87":96,"88":97,"89":98,"90":99,"91":100,"92":102,"93":103,"94":104,"95":105,"96":106,"97":107,"98":108,"99":109,"100":111,"101":112,"102":113,"103":114,"104":115,"105":116,"106":117,"107":118,"108":119,"109":120,"110":122,"111":123,"112":125,"113":126,"114":127,"115":128,"116":129,"117":130,"118":131,"119":132,"121":136,"122":137,"123":138,"124":139,"125":140,"126":141,"128":144,"129":145,"130":146,"131":147,"132":149,"133":150,"134":151,"135":152,"136":153,"137":154,"138":155,"139":156,"140":157,"141":158,"142":159,"143":160,"144":161,"145":162,"146":163,"147":164,"148":165,"149":166,"150":167,"151":168,"152":169,"153":170,"154":171,"155":172,"156":173,"157":174,"158":175,"159":176,"160":177,"161":178,"162":179,"163":180,"164":181,"165":182,"166":183,"167":184,"168":185,"169":186,"170":188,"172":190,"173":195,"174":196,"175":197,"176":199,"177":200,"178":201,"179":202,"180":203,"181":204,"182":205,"183":206,"184":207,"185":208,"186":209,"187":211,"188":212,"189":214,"190":215,"191":216,"192":217,"193":218,"194":220,"195":221,"196":222,"197":224,"198":225,"199":226,"200":227,"201":229,"202":230,"203":231,"204":233,"205":234,"206":235,"207":236,"208":237,"209":238,"210":239,"211":240,"212":241,"213":242,"214":243,"215":244,"216":245,"217":246,"218":247,"219":248,"220":249,"221":250,"222":251,"223":252,"224":253,"225":254,"226":255,"227":256,"228":257,"229":258,"230":259,"231":260,"232":261,"233":262,"234":263,"235":264,"236":265,"237":267,"238":269,"239":270,"240":271,"241":272,"243":275,"244":277,"245":278,"246":279,"247":280,"248":281,"249":282,"251":284,"252":285,"253":286,"254":287,"255":288,"256":289,"257":290,"258":291,"259":292,"260":293,"261":294,"262":295,"263":296,"264":297,"265":298,"266":299,"267":300,"268":301,"269":303,"270":304,"271":305,"272":306,"273":308,"274":309,"275":310,"276":312,"277":313,"278":314,"279":315,"280":316,"281":317,"282":318,"283":319,"284":321,"285":322,"286":323,"287":324,"289":327,"290":328,"291":329,"292":330,"293":331,"294":332,"295":333,"297":335,"298":336,"299":337,"300":338,"301":342,"302":343,"303":344,"304":345,"305":346,"306":347,"307":348,"308":349,"309":351,"310":352,"311":353,"312":355,"313":356,"314":357,"315":358,"316":360,"317":362,"318":364,"319":365,"320":366,"321":367,"322":368,"323":369,"324":371,"325":372,"326":373,"327":374,"328":375,"329":376,"330":377,"331":378,"332":379,"333":380,"334":381,"335":382,"336":384,"337":385,"338":386,"339":387,"340":388,"341":389,"342":391,"343":392,"344":393,"345":394,"346":395,"348":397,"349":398,"350":399,"351":400,"352":401,"353":402,"354":403,"355":404,"356":405,"357":406,"358":407,"359":408,"360":409,"361":411,"362":412,"363":413,"364":415,"365":416,"366":417,"367":418,"368":419,"369":420,"370":421,"371":422,"372":423,"373":424,"374":425,"375":427,"376":428,"377":429,"378":430,"379":431,"380":432,"381":433,"382":435,"384":438,"385":439,"386":441,"387":442,"388":443,"389":444,"390":445,"391":446,"392":447,"395":451,"396":452,"397":454,"398":455,"399":456,"400":458,"401":459,"402":460,"403":461,"404":462,"405":463,"406":464,"407":466,"408":467,"409":468,"410":469,"411":471,"412":472,"413":473,"414":474,"415":475,"416":477,"417":478,"418":479,"419":480,"420":481,"421":482,"422":483,"423":484,"424":485,"425":486,"426":488,"427":489,"428":490,"429":492,"430":493,"431":494,"432":495,"433":496,"434":497,"435":498,"436":500,"437":501,"438":503,"439":504,"440":505,"441":506,"442":507,"443":508,"444":509,"445":510,"446":511,"447":513,"448":519,"449":520,"450":522,"451":523,"452":524,"453":525,"454":527,"455":529,"456":530,"457":533,"458":539,"459":541,"460":542,"461":543,"462":544,"463":546,"464":554,"465":556,"466":557,"467":558,"468":560,"469":562,"470":566,"471":567,"472":569,"473":575,"474":577,"475":578,"476":579,"477":580,"478":581,"479":584,"480":587,"481":588,"482":589,"483":594,"484":597,"485":602,"486":606,"487":609,"488":617,"489":618,"490":621,"491":624,"492":627,"493":629,"494":633,"495":638,"496":639,"497":640,"498":646,"499":649,"500":651,"501":656,"502":658,"503":666,"504":667,"505":668,"506":669,"507":670,"508":671,"509":678,"510":681,"511":682,"512":686,"513":688,"514":693,"515":694,"516":695,"517":696,"518":700,"519":701,"520":709,"521":714,"522":718,"523":722,"524":724,"525":726,"526":727,"527":728,"528":729,"529":731,"530":733,"531":744,"532":746,"533":747,"534":750,"535":751,"536":752,"537":754,"538":760,"539":761,"540":763,"541":765,"542":766,"543":770,"544":771,"545":772,"546":774,"547":776,"548":779,"549":781,"550":782,"551":784,"552":785,"553":790,"554":793,"555":794,"556":797,"557":798,"558":799,"559":800,"560":803,"561":807,"562":808,"563":810,"564":811,"565":812,"566":813,"567":814,"568":817,"569":826,"570":828,"571":831,"572":833,"573":835,"574":840,"575":843,"576":845,"577":850,"578":853,"579":857,"580":858,"581":861,"582":862,"583":864,"584":865,"585":870,"586":876,"587":877,"588":878,"589":880,"590":881,"591":883,"592":890,"593":891,"594":893,"595":894,"596":895,"597":897,"598":900,"599":901,"600":903,"601":905,"602":906,"603":909,"604":912,"605":914,"606":915,"607":916,"608":918,"609":919,"610":921,"611":923,"612":931,"613":932,"614":933,"615":935,"616":936,"617":943,"618":945,"619":946,"620":948,"621":953,"622":956,"623":958,"624":959,"625":961,"626":964,"627":965,"628":967,"629":971,"630":974,"631":976,"632":980,"633":981,"634":983,"635":984,"636":985,"637":986,"638":987,"639":996,"640":999,"641":1003,"642":1005,"643":1009,"644":1010,"645":1011,"646":1018,"647":1019,"648":1022},{"0":5,"1":8,"2":39,"3":61,"4":65,"5":77,"6":82,"7":93,"8":101,"9":110,"10":121,"11":124,"12":133,"13":134,"14":143,"15":148,"16":187,"17":191,"18":192,"19":194,"20":210,"21":213,"22":219,"23":223,"24":232,"25":266,"26":268,"27":273,"28":276,"29":302,"30":307,"31":311,"32":320,"33":325,"34":339,"35":340,"36":341,"37":350,"38":354,"39":359,"40":361,"41":370,"42":383,"43":390,"44":410,"45":414,"46":426,"47":434,"48":436,"49":450,"50":453,"51":457,"52":465,"53":470,"54":476,"55":487,"56":491,"57":499,"58":502,"59":514,"60":526,"61":528,"62":531,"63":532,"64":535,"65":537,"66":538,"67":540,"68":547,"69":553,"70":564,"71":568,"72":572,"73":574,"74":576,"75":583,"76":585,"77":590,"78":592,"79":593,"80":596,"81":600,"82":605,"83":608,"84":612,"85":614,"86":616,"87":622,"88":623,"89":628,"90":634,"91":636,"92":641,"93":644,"94":647,"95":650,"96":652,"97":654,"98":655,"99":662,"100":665,"101":675,"102":684,"103":685,"104":687,"105":692,"106":699,"107":704,"108":705,"109":706,"110":710,"111":716,"112":720,"113":721,"114":723,"115":725,"116":734,"117":735,"118":739,"119":740,"120":741,"121":742,"122":748,"123":749,"124":767,"125":768,"126":773,"127":775,"128":777,"129":796,"130":804,"131":805,"132":816,"133":822,"134":823,"135":825,"136":827,"137":832,"138":838,"139":841,"140":848,"141":855,"142":859,"143":863,"144":867,"145":868,"146":869,"147":871,"148":872,"149":873,"150":874,"151":875,"152":884,"153":885,"154":886,"155":887,"156":888,"157":892,"158":896,"159":898,"160":899,"161":902,"162":904,"163":907,"164":908,"165":913,"167":922,"168":925,"169":929,"170":930,"171":934,"172":937,"173":939,"174":940,"175":941,"176":944,"177":949,"178":955,"179":957,"180":975,"181":978,"182":979,"183":988,"184":995,"185":1001,"186":1004,"187":1008,"188":1013,"189":1016,"191":1020,"192":1021,"193":1023},[73,193,198,228,363,440,512,516,518,521,534,545,548,551,555,561,565,573,598,601,603,604,610,615,637,663,673,689,708,738,745,753,756,757,762,764,783,788,789,791,792,801,806,809,815,820,830,834,836,837,846,847,854,856,866,882,889,926,954,962,968,969,970,977,991,992,1012,1014,1015],[536,550,552,570,626,630,635,648,653,660,661,664,672,674,679,680,697,707,737,743,759,786,795,802,821,824,829,839,879,910,911,927,928,947,951,966,972,989,990,997,1002],{"0":563,"1":582,"2":591,"3":613,"4":625,"5":632,"6":643,"7":676,"8":698,"9":711,"10":712,"11":713,"12":715,"13":719,"15":736,"16":755,"17":778,"18":787,"19":844,"20":851,"21":860,"22":924,"23":938,"24":952,"25":960,"26":963,"27":1000,"28":1006,"29":1007},[549,559,586,599,611,631,645,657,659,683,691,717,769,819,849],{"0":515,"1":517,"2":571,"4":607,"5":619,"6":677,"7":730,"8":780,"9":982,"10":994},[620,690,942,950],[702,758,973],[920],[993],[852],[703],[642,818],[]]