[{"0":1,"1":2,"2":3,"3":4,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":22,"21":23,"22":24,"23":26,"24":27,"26":29,"27":30,"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":49,"46":50,"47":51,"48":52,"49":53,"50":54,"51":55,"52":56,"53":57,"54":58,"55":59,"56":61,"57":62,"58":63,"59":64,"60":65,"61":66,"62":67,"63":68,"64":69,"65":70,"66":71,"67":72,"68":73,"69":75,"70":76,"71":77,"72":78,"73":79,"74":80,"75":81,"77":83,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":90,"85":91,"86":92,"87":93,"88":96,"89":97,"90":98,"91":99,"92":101,"93":103,"94":104,"95":105,"96":106,"97":107,"98":108,"99":109,"100":110,"101":111,"102":112,"103":113,"104":115,"105":116,"106":117,"107":118,"108":119,"109":121,"110":122,"111":123,"112":124,"113":125,"114":126,"115":127,"116":128,"117":129,"118":130,"119":131,"120":132,"121":134,"122":135,"123":137,"124":138,"125":139,"126":141,"127":142,"128":143,"129":144,"130":145,"131":146,"132":147,"133":148,"134":149,"135":150,"136":151,"137":152,"138":153,"139":154,"140":155,"141":156,"142":157,"143":158,"144":159,"145":160,"146":161,"147":162,"148":163,"149":164,"150":165,"151":166,"152":167,"153":169,"154":170,"155":171,"156":172,"157":173,"158":174,"160":176,"161":177,"162":179,"163":180,"164":181,"165":182,"166":183,"167":185,"169":187,"170":188,"171":189,"172":190,"174":192,"175":193,"176":194,"177":195,"178":196,"179":197,"180":198,"181":200,"182":201,"183":202,"184":203,"185":204,"186":205,"188":208,"189":210,"190":211,"191":212,"192":213,"193":214,"194":215,"195":217,"196":218,"197":219,"198":220,"199":221,"200":222,"201":223,"202":224,"203":225,"204":226,"205":227,"206":228,"207":230,"208":231,"209":232,"210":233,"211":235,"212":236,"213":237,"214":238,"215":239,"216":240,"217":241,"218":242,"219":243,"220":244,"221":245,"222":246,"223":247,"224":248,"225":251,"226":252,"227":253,"228":254,"229":255,"230":256,"231":257,"232":258,"233":259,"234":260,"235":261,"236":262,"237":263,"238":264,"239":265,"240":266,"241":268,"242":269,"243":270,"244":271,"245":272,"246":273,"247":274,"248":275,"249":276,"250":277,"251":278,"252":279,"253":280,"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":295,"268":296,"269":297,"270":298,"271":299,"272":300,"273":301,"274":302,"275":304,"276":305,"277":306,"278":307,"279":308,"280":309,"281":310,"282":311,"283":312,"284":313,"286":315,"287":316,"288":317,"289":318,"290":319,"291":320,"292":321,"294":324,"295":326,"296":327,"297":328,"298":329,"299":330,"300":331,"301":332,"302":333,"303":334,"304":335,"305":336,"306":337,"307":338,"308":339,"309":340,"310":341,"311":342,"312":343,"313":344,"314":345,"315":346,"316":347,"317":348,"318":349,"319":350,"320":351,"321":352,"322":353,"323":354,"324":355,"325":356,"326":357,"327":358,"328":359,"329":360,"330":361,"331":362,"332":363,"333":364,"334":365,"335":366,"336":367,"337":368,"338":369,"339":370,"340":371,"341":372,"342":374,"343":375,"344":376,"345":377,"346":378,"347":379,"348":380,"349":381,"350":382,"351":383,"352":385,"353":386,"354":387,"355":388,"356":389,"357":390,"358":391,"359":392,"360":393,"361":394,"362":395,"363":396,"364":397,"365":398,"366":399,"367":400,"368":401,"370":403,"371":404,"372":405,"373":406,"374":407,"375":408,"376":409,"377":410,"378":411,"379":412,"380":413,"382":415,"383":416,"384":417,"385":418,"386":420,"387":421,"388":422,"389":423,"390":424,"391":425,"392":426,"393":427,"394":428,"395":429,"396":430,"397":431,"398":432,"399":433,"400":434,"401":435,"402":436,"403":437,"404":438,"405":439,"406":441,"407":442,"408":443,"409":444,"410":445,"411":446,"412":447,"414":449,"415":450,"416":451,"417":452,"418":454,"419":455,"420":456,"421":457,"422":458,"423":459,"424":460,"425":461,"426":462,"427":463,"428":464,"429":466,"430":467,"431":468,"432":469,"433":470,"434":471,"435":472,"436":473,"437":475,"438":476,"439":477,"440":478,"441":479,"442":480,"443":481,"444":482,"445":483,"446":484,"447":485,"448":486,"449":487,"450":488,"451":489,"452":490,"453":491,"454":492,"455":493,"456":494,"457":495,"458":496,"459":497,"460":498,"461":499,"462":500,"463":501,"464":502,"465":503,"466":504,"467":505,"468":506,"469":507,"470":508,"471":509,"472":510,"473":511,"474":512,"475":514,"476":516,"477":518,"478":519,"479":523,"480":524,"481":525,"482":527,"483":528,"484":530,"485":532,"486":534,"487":537,"488":538,"489":539,"490":541,"491":543,"492":546,"493":547,"494":550,"495":552,"496":553,"497":554,"498":555,"499":556,"500":557,"501":559,"502":560,"503":561,"504":562,"505":563,"506":564,"507":565,"508":567,"509":569,"510":570,"511":573,"512":578,"513":584,"514":585,"515":588,"516":589,"517":593,"518":594,"519":595,"520":597,"521":598,"522":599,"523":600,"524":601,"525":602,"526":603,"527":605,"528":609,"529":610,"530":612,"531":617,"532":619,"533":621,"534":622,"535":623,"536":624,"537":625,"538":628,"539":629,"540":630,"541":633,"542":634,"543":639,"544":641,"545":642,"546":643,"547":645,"548":648,"549":650,"550":652,"551":655,"552":656,"553":657,"554":658,"555":659,"556":662,"557":664,"558":665,"559":666,"560":667,"561":670,"562":672,"563":673,"564":674,"565":675,"566":676,"567":677,"568":679,"569":683,"570":687,"571":691,"572":692,"573":693,"574":695,"575":697,"576":698,"577":702,"578":703,"579":708,"580":709,"581":710,"582":711,"583":713,"584":715,"585":716,"586":718,"587":719,"588":723,"589":725,"590":726,"591":727,"592":732,"593":733,"594":735,"595":738,"596":740,"597":743,"598":749,"599":752,"600":754,"601":755,"602":764,"603":765,"604":767,"605":769,"606":771,"607":773,"608":774,"609":778,"610":780,"611":781,"612":783,"613":784,"614":787,"615":788,"616":789,"617":791,"618":795,"619":797,"620":799,"621":803,"622":804,"623":805,"624":806,"625":808,"626":811,"627":813,"628":814,"629":816,"630":817,"631":820,"632":827,"633":829,"634":830,"635":832,"636":835,"637":837,"638":842,"639":845,"640":846,"641":849,"642":850,"643":853,"644":856,"645":860,"646":862,"647":864,"648":866,"649":867,"650":875,"651":877,"652":880,"653":881,"654":882,"655":884,"656":885,"657":888,"658":889,"659":890,"660":891,"661":897,"662":903,"663":908,"664":909,"665":911,"666":912,"667":913,"668":914,"669":916,"670":919,"671":920,"672":921,"673":923,"674":925,"675":930,"676":931,"677":933,"678":934,"679":936,"680":937,"681":940,"682":943,"683":946,"684":948,"685":950,"686":951,"687":952,"688":953,"689":955,"690":959,"691":960,"692":962,"693":964,"694":967,"695":970,"696":971,"697":973,"698":974,"699":977,"700":979,"701":982,"702":984,"703":985,"704":986,"705":987,"706":988,"707":989,"708":990,"709":996,"710":997,"711":998,"712":1003,"713":1005,"714":1008,"715":1009,"716":1011,"717":1012,"718":1013,"719":1015,"720":1019,"721":1023},[0,15,25,31,60,74,95,100,102,120,133,136,140,168,178,184,199,206,209,216,234,249,250,267,294,303,323,325,373,384,419,440,453,465,474,522,526,529,533,544,551,568,574,576,577,581,582,586,587,592,604,607,608,611,620,626,632,636,640,646,651,660,661,669,680,682,684,685,690,694,696,699,701,704,720,721,729,741,745,747,751,753,757,760,763,768,770,775,777,779,782,790,798,800,801,802,812,818,819,824,826,834,838,840,841,847,848,857,861,863,865,869,870,872,893,894,896,901,906,917,918,922,924,927,938,939,945,947,949,956,963,965,968,969,972,981,983,992,1017],{"0":94,"1":114,"2":229,"3":531,"5":542,"6":548,"7":549,"8":558,"9":571,"10":596,"11":606,"12":615,"13":616,"14":627,"15":637,"16":638,"17":647,"18":653,"19":668,"20":671,"21":678,"22":688,"23":700,"24":705,"25":734,"26":736,"27":742,"28":748,"29":750,"30":758,"31":759,"32":761,"33":766,"34":776,"35":786,"36":793,"37":796,"38":810,"39":839,"40":851,"41":855,"42":859,"43":874,"44":876,"45":892,"46":898,"47":900,"48":902,"49":905,"50":928,"51":957,"52":958,"53":961,"54":994,"55":1006,"56":1020,"57":1022},[515,517,520,536,566,579,580,590,591,614,618,635,644,654,689,724,728,746,762,785,792,807,815,821,822,828,836,844,854,858,868,871,873,879,883,895,907,910,944,975,976,980,1001,1004,1007,1016],{"0":513,"1":521,"2":572,"3":583,"4":613,"5":686,"6":707,"7":712,"8":714,"9":722,"10":731,"11":737,"12":756,"13":825,"14":831,"15":833,"16":878,"17":904,"18":926,"19":932,"21":954,"22":966,"23":978,"24":993,"25":999,"26":1000,"27":1010,"28":1014,"29":1018},{"0":545,"1":575,"3":681,"4":706,"5":730,"6":739,"7":744,"8":794,"9":809,"10":843,"11":852,"12":886,"13":915,"14":929,"15":935,"16":995,"17":1021},[535,631,823,887,991],[663,772,899,941],[]]