[{"0":0,"1":1,"3":3,"4":6,"6":8,"9":11,"10":12,"11":13,"13":15,"15":18,"17":20,"18":22,"19":24,"20":25,"21":26,"22":27,"26":31,"27":32,"28":33,"29":34,"30":35,"35":42,"36":43,"37":44,"39":48,"40":50,"42":52,"44":54,"46":57,"47":58,"48":59,"49":60,"52":64,"53":65,"54":67,"58":71,"59":72,"60":74,"61":75,"62":76,"63":77,"64":78,"66":80,"67":82,"68":83,"69":84,"70":85,"71":86,"72":88,"73":89,"74":90,"80":96,"83":99,"84":101,"85":102,"89":106,"90":107,"91":108,"93":110,"95":112,"96":114,"97":115,"102":121,"106":126,"108":129,"110":132,"112":134,"113":135,"117":139,"118":140,"124":146,"125":147,"127":149,"128":151,"129":152,"130":153,"131":154,"135":159,"136":160,"138":162,"139":163,"140":164,"141":165,"143":167,"146":171,"147":172,"148":174,"150":176,"153":179,"154":180,"155":181,"157":183,"158":184,"159":187,"160":188,"163":193,"164":194,"166":196,"168":198,"169":200,"170":201,"171":202,"172":203,"174":205,"175":206,"178":209,"179":210,"180":212,"181":213,"184":216,"186":218,"187":219,"188":222,"189":223,"190":226,"192":228,"193":229,"194":230,"196":257,"197":258,"198":260,"199":262,"204":267,"206":269,"207":270,"208":271,"209":272,"210":273,"211":274,"212":275,"213":276,"214":278,"215":279,"217":281,"218":282,"219":283,"220":284,"221":285,"222":286,"223":287,"224":289,"225":290,"226":292,"228":294,"230":296,"234":302,"235":303,"236":304,"238":306,"240":310,"241":311,"242":313,"245":316,"247":318,"249":320,"251":324,"255":328,"257":330,"258":331,"259":332,"260":333,"263":337,"264":338,"266":340,"267":343,"268":344,"270":346,"271":347,"272":348,"273":349,"274":350,"275":351,"276":352,"279":356,"280":357,"281":359,"282":360,"283":361,"284":363,"287":366,"288":367,"289":368,"292":371,"293":372,"294":373,"295":374,"296":375,"297":376,"300":379,"301":380,"303":383,"304":385,"306":387,"307":388,"308":390,"309":391,"311":393,"312":394,"315":398,"316":399,"321":404,"322":406,"323":407,"325":410,"326":411,"328":413,"331":417,"335":423,"336":424,"337":425,"338":426,"340":428,"341":430,"343":432,"344":433,"346":436,"347":437,"348":438,"351":441,"352":442,"353":444,"354":447,"355":448,"356":449,"357":450,"359":452,"361":454,"362":456,"363":457,"364":458,"365":459,"366":460,"367":461,"368":462,"369":463,"373":467,"374":468,"375":469,"376":470,"377":471,"378":472,"379":473,"381":477,"383":479,"384":480,"386":483,"387":484,"389":486,"392":526,"393":535,"394":550,"395":555,"396":558,"397":578,"398":584,"400":596,"401":600,"402":601,"403":605,"404":613,"405":617,"409":660,"410":662,"411":665,"413":686,"414":697,"415":706,"418":730,"422":752,"423":762,"424":766,"426":793,"427":799,"428":811,"429":812,"430":813,"432":831,"433":836,"434":844,"435":846,"436":855,"437":857,"439":865,"440":868,"441":875,"442":878,"443":883,"445":886,"446":910,"449":914,"450":919,"451":932,"454":950,"456":956,"457":962,"458":964,"459":967,"460":971,"461":975,"463":980,"465":987,"466":992,"467":1005,"469":1014,"470":1016},{"0":4,"1":5,"2":16,"3":21,"4":23,"5":38,"7":46,"9":62,"11":73,"12":81,"13":100,"14":113,"15":119,"16":125,"17":131,"18":150,"19":158,"21":173,"22":185,"23":186,"25":190,"26":199,"27":211,"28":220,"29":221,"30":224,"31":225,"33":235,"35":237,"36":238,"37":239,"38":240,"40":242,"41":243,"42":244,"43":245,"45":247,"46":248,"47":249,"48":251,"49":252,"50":253,"52":255,"53":259,"55":277,"58":298,"59":308,"60":312,"61":321,"62":323,"63":334,"64":341,"65":342,"66":353,"67":358,"69":382,"71":389,"72":408,"74":420,"75":422,"76":429,"77":435,"78":446,"79":455,"80":474,"81":476,"82":481,"83":488,"84":489,"85":492,"86":493,"87":494,"92":502,"94":505,"95":508,"97":511,"98":512,"99":517,"101":527,"102":530,"103":534,"104":545,"105":548,"106":553,"107":556,"108":564,"109":568,"110":571,"112":588,"113":591,"114":598,"115":599,"116":606,"117":611,"118":612,"122":628,"123":634,"124":638,"125":640,"126":641,"127":645,"128":656,"129":659,"132":689,"133":692,"134":693,"135":695,"136":704,"137":705,"138":714,"139":716,"140":721,"141":724,"142":738,"144":753,"145":754,"146":765,"147":775,"149":777,"151":783,"152":785,"154":794,"155":796,"158":810,"159":822,"160":835,"163":856,"164":863,"165":867,"166":869,"167":873,"168":876,"169":880,"170":890,"171":892,"172":893,"173":894,"174":896,"175":899,"177":924,"180":951,"181":952,"182":954,"183":963,"184":965,"185":989,"186":990,"187":998,"188":1006,"189":1007,"190":1010,"191":1011,"192":1017,"193":1019,"194":1020},{"1":49,"2":128,"3":231,"4":232,"5":233,"6":250,"7":288,"8":307,"9":405,"10":443,"11":445,"12":491,"13":496,"14":500,"15":501,"16":503,"17":506,"18":507,"19":509,"20":516,"22":523,"23":547,"24":551,"25":557,"26":559,"28":581,"29":589,"30":593,"31":597,"32":602,"33":603,"34":615,"35":643,"36":644,"38":664,"39":680,"40":683,"41":685,"43":703,"44":708,"45":715,"46":728,"47":732,"48":745,"49":747,"50":759,"51":769,"52":770,"53":772,"54":773,"56":803,"57":806,"58":821,"60":828,"61":830,"62":834,"63":841,"64":847,"65":850,"66":862,"67":870,"68":871,"69":872,"71":882,"72":887,"73":888,"74":905,"75":920,"76":921,"77":925,"78":929,"79":931,"81":941,"82":957,"84":982,"85":983,"86":997,"87":1004,"88":1012,"89":1023},{"0":87,"1":396,"2":490,"3":522,"4":536,"5":544,"7":572,"8":587,"9":590,"11":632,"12":642,"13":647,"14":650,"15":671,"16":674,"18":678,"19":681,"20":700,"22":727,"23":734,"26":743,"27":746,"29":782,"30":784,"31":790,"33":817,"34":825,"35":826,"36":839,"37":842,"38":843,"39":858,"40":881,"41":885,"42":889,"43":898,"44":902,"48":928,"49":953,"51":969,"53":996,"55":1018},{"0":514,"4":570,"6":610,"8":626,"9":635,"10":637,"11":653,"13":667,"14":672,"15":673,"16":690,"17":740,"18":764,"19":786,"20":789,"24":819,"25":820,"26":832,"27":833,"28":840,"29":851,"30":874,"31":895,"32":897,"33":915,"34":916,"35":917,"36":926,"39":937,"40":943,"41":949,"42":966,"43":968,"47":1000},{"0":520,"1":538,"2":543,"4":573,"6":583,"7":586,"9":608,"10":609,"11":614,"12":627,"13":679,"15":702,"16":712,"18":744,"19":758,"20":768,"21":780,"22":788,"23":791,"27":866,"29":903,"30":930,"31":972,"33":986},{"0":539,"1":549,"2":582,"5":624,"6":655,"7":663,"12":763,"13":774,"14":795,"15":807,"16":818,"17":823,"20":906,"21":913,"23":944,"26":1013},{"0":521,"2":532,"4":552,"5":561,"6":569,"7":577,"8":604,"11":652,"12":657,"14":687,"15":698,"17":722,"20":802,"21":804,"22":814,"23":827,"24":904,"25":945,"27":995,"28":1001},{"1":567,"3":629,"6":699,"8":751},{"8":909},[],[],[],[],[]]