[{"0":1,"1":2,"2":4,"4":8,"5":9,"7":12,"9":14,"10":15,"11":16,"12":17,"13":18,"14":19,"16":21,"17":22,"18":23,"19":24,"20":26,"21":27,"22":28,"23":29,"25":31,"26":32,"27":33,"28":34,"29":35,"31":37,"32":38,"33":39,"34":40,"36":43,"37":44,"38":46,"39":47,"40":48,"41":50,"42":51,"43":52,"44":53,"45":54,"46":55,"47":56,"48":57,"49":58,"50":59,"51":60,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":75,"66":76,"67":77,"68":78,"69":79,"70":80,"71":83,"72":84,"73":85,"74":86,"75":87,"76":89,"77":90,"78":92,"79":93,"81":97,"82":98,"83":99,"84":100,"85":101,"86":102,"87":103,"88":104,"89":106,"91":108,"92":110,"93":111,"94":112,"95":113,"96":114,"97":115,"98":116,"99":117,"102":120,"103":121,"104":122,"105":123,"106":124,"107":127,"108":128,"109":129,"110":130,"111":131,"112":132,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":141,"121":142,"122":144,"123":145,"124":146,"125":147,"128":151,"129":152,"130":154,"131":155,"132":157,"134":160,"135":161,"136":162,"137":163,"138":164,"139":165,"141":167,"143":169,"145":172,"146":173,"147":174,"148":175,"149":176,"150":178,"151":179,"152":180,"153":181,"154":182,"155":184,"156":185,"157":186,"158":187,"159":188,"160":189,"161":190,"162":191,"163":192,"164":193,"165":194,"166":195,"167":196,"168":198,"169":199,"170":200,"171":201,"172":203,"173":204,"174":205,"175":206,"176":208,"177":210,"178":212,"179":213,"180":214,"181":215,"182":216,"183":220,"184":221,"186":224,"187":225,"188":226,"189":227,"190":228,"191":229,"192":230,"193":231,"194":232,"196":234,"197":235,"198":236,"199":237,"200":238,"201":239,"203":241,"205":243,"206":244,"207":245,"208":246,"209":247,"210":248,"211":249,"212":250,"213":251,"214":252,"216":254,"217":255,"218":256,"219":257,"220":258,"221":260,"222":261,"223":262,"225":268,"227":270,"228":271,"229":272,"230":273,"231":274,"232":275,"233":276,"234":277,"235":278,"236":279,"237":280,"238":284,"239":285,"240":287,"241":288,"242":289,"243":290,"244":292,"245":293,"246":294,"247":295,"249":297,"250":298,"251":299,"252":300,"253":301,"254":302,"255":303,"256":305,"257":306,"258":307,"259":308,"260":309,"261":310,"262":311,"263":312,"264":315,"265":316,"266":317,"267":318,"268":319,"269":320,"270":321,"271":322,"273":324,"274":325,"276":327,"277":329,"278":330,"279":331,"280":332,"281":333,"282":335,"283":337,"285":339,"286":340,"288":342,"289":343,"290":344,"291":345,"292":346,"293":347,"294":348,"295":349,"296":350,"297":351,"298":352,"299":353,"300":354,"301":355,"302":356,"303":357,"304":359,"305":360,"306":361,"307":362,"308":363,"309":364,"310":365,"311":366,"312":367,"313":368,"314":369,"315":370,"316":371,"317":372,"318":374,"319":375,"320":377,"321":378,"322":379,"323":380,"324":381,"325":382,"326":383,"327":384,"328":385,"329":387,"330":388,"331":389,"333":391,"334":392,"335":393,"336":394,"337":395,"338":396,"339":398,"340":400,"341":401,"342":402,"343":403,"344":404,"345":405,"346":406,"347":407,"348":409,"349":411,"350":412,"351":413,"352":415,"353":416,"354":417,"355":418,"356":419,"357":420,"358":421,"359":422,"360":423,"361":424,"362":425,"363":426,"364":427,"365":428,"366":429,"367":430,"368":431,"369":432,"370":433,"371":434,"372":436,"373":438,"374":439,"375":440,"376":442,"377":443,"378":444,"379":445,"380":449,"381":451,"382":453,"383":454,"384":455,"385":457,"386":461,"387":465,"388":468,"389":473,"390":474,"391":477,"392":483,"393":488,"394":490,"395":491,"396":492,"397":496,"398":497,"399":500,"400":501,"401":504,"402":506,"403":508,"404":509,"405":510,"406":511,"407":514,"408":516,"409":523,"410":524,"411":525,"412":526,"413":527,"414":528,"415":529,"416":530,"417":531,"418":533,"419":534,"420":535,"421":537,"422":538,"423":543,"424":544,"425":545,"426":547,"427":551,"428":556,"429":558,"430":560,"431":562,"432":564,"433":567,"434":573,"435":574,"436":577,"437":579,"438":585,"439":588,"440":589,"441":590,"442":599,"443":602,"444":604,"445":606,"446":607,"447":609,"448":618,"449":619,"450":620,"451":622,"452":624,"453":625,"454":626,"455":627,"456":628,"457":630,"458":631,"459":633,"460":643,"461":649,"462":653,"463":657,"464":658,"465":659,"466":660,"467":662,"468":665,"469":667,"470":671,"471":672,"472":676,"473":679,"474":682,"475":683,"476":687,"477":695,"478":701,"479":702,"480":703,"481":704,"482":709,"483":711,"484":714,"485":715,"486":716,"487":718,"488":721,"489":725,"490":727,"491":730,"492":731,"493":732,"494":735,"495":737,"496":740,"497":741,"498":747,"499":749,"500":751,"501":753,"502":754,"503":756,"504":759,"505":760,"506":761,"507":764,"508":765,"509":766,"510":768,"511":770,"512":771,"513":774,"514":776,"515":779,"516":784,"517":785,"518":786,"519":788,"520":789,"521":793,"522":797,"523":801,"524":806,"525":807,"526":808,"527":810,"528":811,"529":812,"530":815,"531":816,"532":818,"533":819,"534":823,"535":824,"536":825,"537":826,"538":833,"539":838,"540":839,"541":842,"542":852,"543":853,"544":856,"545":857,"546":861,"547":865,"548":866,"549":869,"550":876,"551":878,"552":881,"553":882,"554":886,"555":887,"556":889,"557":890,"558":891},{"0":0,"1":3,"2":5,"3":6,"5":25,"6":41,"7":45,"8":49,"9":81,"10":82,"11":88,"12":91,"13":94,"14":95,"15":105,"16":109,"17":126,"18":140,"19":143,"20":150,"21":153,"22":156,"23":158,"25":177,"26":183,"27":202,"28":207,"29":209,"30":211,"31":217,"32":218,"33":219,"34":222,"35":259,"36":263,"37":264,"38":265,"39":267,"40":281,"41":282,"42":283,"43":286,"44":291,"45":304,"46":313,"47":314,"48":328,"49":334,"50":336,"51":358,"52":373,"53":376,"54":386,"55":397,"56":399,"57":408,"58":410,"59":414,"60":435,"61":437,"62":441,"63":446,"64":447,"65":450,"66":452,"67":456,"68":458,"69":460,"70":462,"71":463,"72":464,"73":470,"74":476,"75":482,"76":484,"77":493,"78":495,"79":498,"80":499,"81":513,"82":517,"83":518,"84":519,"85":536,"86":540,"87":548,"88":552,"89":553,"90":554,"91":555,"92":557,"93":561,"94":563,"95":572,"96":578,"97":580,"98":581,"99":582,"100":583,"101":586,"102":587,"103":592,"104":595,"105":596,"106":600,"107":603,"108":608,"109":612,"110":614,"111":615,"112":616,"113":617,"114":629,"115":636,"116":641,"117":642,"118":647,"119":648,"120":650,"121":654,"122":656,"123":666,"124":668,"125":675,"126":681,"127":684,"128":689,"129":694,"130":696,"131":699,"132":700,"133":707,"134":713,"135":719,"136":720,"137":723,"138":728,"139":733,"140":736,"141":739,"142":744,"143":763,"144":769,"145":777,"146":778,"147":783,"148":792,"149":796,"150":798,"151":799,"152":800,"153":802,"154":805,"155":813,"156":814,"157":821,"158":828,"159":829,"160":832,"161":834,"162":840,"163":841,"164":845,"165":849,"166":854,"167":858,"168":859,"169":860,"170":862,"171":864,"172":867,"173":870,"174":873,"175":874,"176":875,"177":877,"178":879,"180":883,"181":888},{"0":74,"1":125,"2":197,"3":459,"4":466,"5":467,"6":478,"7":479,"8":494,"10":503,"12":522,"13":532,"14":549,"15":550,"16":559,"17":566,"18":568,"19":570,"20":575,"21":598,"23":611,"24":632,"25":634,"26":637,"27":639,"28":655,"29":663,"30":664,"31":673,"32":674,"33":677,"34":678,"35":685,"36":686,"37":691,"39":697,"40":717,"41":726,"42":743,"43":767,"44":772,"45":773,"46":780,"47":782,"48":787,"49":790,"50":791,"51":794,"52":822,"53":837,"54":844,"55":851,"56":855,"57":863,"58":872,"59":884},{"0":472,"1":475,"2":481,"3":485,"4":489,"5":505,"6":521,"7":539,"8":542,"9":571,"10":576,"11":605,"12":610,"13":613,"14":640,"15":644,"16":645,"17":652,"18":669,"19":670,"20":680,"21":688,"22":698,"24":722,"25":729,"27":752,"28":762,"31":831,"33":885},{"1":487,"2":512,"3":565,"4":593,"5":594,"6":690,"7":705,"8":710,"9":757,"11":795,"12":817,"15":847,"16":868},{"0":569,"1":597,"3":651,"5":734,"7":742,"8":803,"9":809,"10":836,"11":843,"12":871},{"0":448,"1":469,"2":471,"3":480,"4":515,"5":546,"6":621,"7":635,"9":745,"10":748},{"1":646,"2":724,"4":755,"6":846},{"0":507,"2":591},[],[]]