[{"0":0,"1":2,"2":3,"3":4,"4":5,"5":6,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":15,"14":17,"15":18,"16":19,"17":20,"19":23,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":32,"28":33,"29":34,"30":35,"31":36,"32":38,"33":39,"34":40,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":54,"48":55,"49":56,"50":57,"51":58,"52":59,"53":60,"54":62,"55":64,"56":65,"57":67,"58":68,"59":70,"60":71,"61":72,"62":73,"63":74,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"71":82,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"79":90,"80":91,"81":92,"82":93,"83":95,"84":98,"85":99,"86":100,"87":101,"88":102,"89":103,"90":104,"91":105,"92":106,"93":107,"94":109,"95":110,"96":111,"97":112,"98":113,"99":114,"101":116,"102":117,"103":118,"104":120,"105":122,"106":123,"107":125,"108":126,"109":127,"110":128,"111":129,"112":130,"113":131,"114":132,"117":136,"118":138,"119":139,"120":140,"121":141,"122":142,"123":143,"124":145,"125":146,"126":147,"127":148,"128":149,"129":150,"130":151,"131":152,"132":153,"133":154,"134":155,"135":156,"136":157,"137":158,"138":160,"139":161,"140":162,"141":163,"142":164,"144":166,"145":167,"146":168,"147":169,"148":170,"149":171,"150":172,"151":174,"152":176,"153":177,"154":178,"155":179,"156":180,"157":181,"158":182,"161":186,"162":187,"163":188,"164":190,"165":191,"166":192,"167":194,"168":195,"169":196,"170":197,"171":198,"172":199,"173":200,"174":201,"175":202,"176":203,"177":204,"178":205,"179":207,"180":209,"181":210,"182":211,"183":212,"184":213,"185":214,"186":215,"187":216,"188":217,"189":218,"190":221,"191":222,"192":223,"193":224,"194":225,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":236,"205":237,"206":238,"207":240,"208":242,"209":244,"210":246,"211":247,"212":249,"213":250,"214":251,"215":252,"216":253,"217":254,"218":255,"219":256,"220":258,"221":259,"222":260,"223":261,"224":262,"225":263,"226":264,"227":265,"228":266,"229":268,"230":269,"231":270,"232":272,"233":274,"234":275,"235":276,"236":277,"238":279,"239":280,"240":281,"241":282,"242":283,"243":285,"244":286,"245":288,"246":290,"247":291,"248":292,"249":293,"250":295,"251":299,"252":300,"253":301,"254":302,"255":303,"256":304,"257":305,"258":306,"259":307,"260":308,"261":310,"262":312,"263":313,"264":314,"265":315,"266":316,"267":317,"268":318,"269":319,"270":320,"271":321,"272":322,"273":324,"274":325,"275":326,"276":327,"277":328,"278":329,"279":330,"280":331,"281":332,"282":333,"283":334,"284":335,"285":336,"286":337,"287":338,"288":339,"289":340,"290":341,"291":342,"292":343,"293":344,"294":345,"295":346,"296":347,"297":348,"298":349,"299":350,"300":351,"301":352,"302":353,"303":354,"304":355,"305":357,"306":359,"307":360,"308":361,"309":362,"310":363,"311":364,"312":365,"313":366,"314":367,"315":368,"316":369,"317":371,"318":372,"319":373,"320":374,"321":375,"322":376,"323":377,"324":378,"325":379,"326":380,"327":381,"328":382,"329":383,"330":384,"331":385,"332":386,"333":387,"334":388,"336":390,"337":391,"339":393,"340":394,"341":395,"342":396,"343":397,"344":399,"345":400,"346":401,"347":402,"348":404,"349":405,"350":406,"351":407,"352":408,"353":409,"354":410,"355":411,"356":412,"357":413,"358":414,"359":415,"360":416,"361":417,"363":419,"364":420,"365":421,"366":422,"367":423,"368":424,"369":425,"370":426,"372":428,"373":429,"374":430,"375":432,"376":433,"377":434,"378":435,"379":436,"380":437,"381":438,"382":439,"383":440,"384":441,"385":444,"386":445,"388":447,"389":448,"390":449,"391":450,"392":451,"393":452,"394":453,"395":454,"396":456,"397":457,"398":458,"399":459,"400":460,"401":461,"402":462,"403":463,"404":464,"405":465,"406":466,"407":467,"408":468,"409":469,"410":471,"411":473,"412":475,"413":476,"414":477,"415":478,"416":479,"417":480,"418":481,"419":482,"420":483,"421":485,"422":486,"423":487,"424":488,"425":489,"426":490,"427":491,"428":492,"429":493,"430":494,"431":495,"432":496,"433":497,"434":498,"435":499,"436":500,"437":501,"438":502,"439":503,"440":504,"441":506,"442":507,"443":508,"444":509,"445":510,"446":511,"447":512,"448":516,"449":525,"450":532,"451":533,"452":534,"453":546,"454":548,"455":549,"456":551,"457":552,"458":562,"459":566,"460":571,"461":582,"462":583,"463":589,"464":591,"465":592,"466":593,"467":595,"468":598,"469":600,"470":603,"471":607,"472":612,"473":616,"474":623,"475":632,"476":642,"477":648,"478":649,"479":652,"480":654,"481":655,"482":656,"483":658,"484":659,"485":664,"486":667,"487":670,"488":671,"489":672,"490":683,"491":685,"492":693,"493":700,"494":708,"495":715,"496":718,"497":723,"498":724,"499":725,"500":728,"501":731,"502":751,"503":756,"504":757,"505":760,"506":763,"507":766,"508":770,"509":771,"510":774,"511":780,"512":781,"513":782,"514":783,"515":787,"516":788,"517":789,"518":790,"519":796,"520":797,"521":814,"522":817,"523":820,"524":831,"525":835,"526":842,"527":845,"528":846,"529":852,"530":853,"531":856,"532":865,"533":867,"534":875,"535":878,"536":890,"537":898,"538":902,"539":910,"540":915,"541":922,"542":931,"543":933,"544":937,"545":944,"546":945,"547":950,"548":952,"549":956,"550":957,"551":958,"552":962,"553":966,"554":968,"555":977,"556":979,"557":981,"558":984,"559":1004,"560":1007,"561":1009,"562":1011,"563":1016,"564":1022},{"0":1,"1":7,"2":16,"3":31,"4":37,"5":47,"6":61,"7":63,"8":69,"9":94,"10":96,"11":97,"12":108,"13":119,"14":121,"15":124,"16":135,"17":137,"18":144,"19":159,"20":173,"21":175,"22":185,"23":193,"24":206,"25":208,"26":219,"27":220,"28":226,"29":239,"30":241,"31":243,"32":245,"33":248,"34":257,"35":267,"36":271,"37":273,"38":284,"39":287,"40":296,"41":297,"42":298,"43":309,"44":311,"45":323,"46":356,"47":370,"48":398,"49":403,"50":431,"51":443,"52":470,"53":474,"54":484,"55":505,"56":513,"57":515,"58":517,"59":520,"60":522,"61":526,"62":529,"63":535,"64":536,"65":539,"66":541,"67":543,"68":547,"69":557,"70":560,"71":561,"72":563,"73":564,"74":565,"75":567,"76":575,"77":578,"78":584,"79":588,"80":590,"81":596,"82":604,"83":605,"84":608,"85":610,"86":611,"87":614,"88":619,"89":620,"90":622,"91":625,"92":626,"93":628,"94":630,"95":634,"96":635,"97":636,"98":639,"99":640,"100":641,"101":643,"102":644,"103":647,"104":650,"105":663,"106":674,"107":675,"108":676,"109":677,"110":679,"111":680,"112":684,"113":690,"114":691,"115":697,"116":698,"117":701,"118":702,"119":709,"120":710,"121":712,"122":714,"123":717,"124":719,"125":730,"126":733,"127":734,"128":735,"129":737,"130":740,"131":745,"132":746,"133":747,"134":748,"135":750,"136":755,"137":758,"138":764,"139":765,"140":767,"141":768,"142":769,"143":772,"144":777,"146":785,"147":792,"148":794,"149":795,"150":799,"151":801,"152":810,"153":812,"154":819,"155":821,"156":825,"157":832,"158":836,"159":837,"160":838,"161":840,"162":847,"163":849,"164":851,"165":855,"166":858,"167":862,"168":869,"169":873,"170":877,"171":885,"172":889,"173":899,"174":901,"175":903,"176":905,"177":907,"178":913,"179":914,"180":917,"181":918,"182":924,"183":932,"184":938,"185":941,"186":942,"187":955,"188":963,"189":964,"190":965,"191":971,"192":973,"193":982,"194":983,"195":1000,"196":1005,"197":1006,"198":1008,"199":1014,"200":1015,"201":1017,"202":1019,"203":1020},{"0":21,"1":66,"2":189,"3":289,"4":294,"5":358,"6":442,"7":455,"8":472,"9":521,"10":538,"11":540,"12":553,"13":572,"14":577,"15":581,"16":585,"17":586,"18":601,"19":609,"20":617,"22":638,"23":645,"24":646,"25":661,"26":665,"27":678,"28":687,"29":688,"30":692,"31":694,"32":696,"33":705,"34":707,"35":720,"36":721,"37":722,"38":729,"39":738,"40":741,"41":743,"42":744,"43":749,"44":754,"45":761,"46":762,"47":775,"48":776,"49":779,"50":791,"51":800,"52":802,"53":803,"54":807,"55":808,"56":815,"57":818,"58":822,"59":827,"61":830,"62":833,"63":834,"64":841,"65":844,"66":848,"67":859,"68":861,"69":866,"70":871,"71":872,"72":874,"73":879,"74":887,"75":892,"76":896,"77":906,"78":912,"79":916,"80":919,"81":920,"83":925,"84":926,"85":927,"86":928,"87":934,"88":935,"89":936,"90":946,"91":949,"92":951,"93":954,"94":970,"95":972,"96":978,"98":986,"99":987,"100":990,"101":998,"102":1010,"103":1021},{"0":518,"1":523,"2":524,"3":544,"4":545,"5":554,"6":556,"7":558,"8":574,"9":576,"10":580,"11":587,"12":594,"13":606,"14":615,"15":633,"16":657,"17":662,"18":668,"19":686,"20":706,"21":716,"22":736,"23":739,"24":753,"26":809,"27":816,"28":826,"29":829,"30":857,"31":863,"32":881,"33":882,"34":883,"35":886,"36":888,"37":893,"38":908,"39":921,"40":929,"41":939,"42":940,"43":947,"44":948,"45":959,"46":960,"47":961,"48":967,"49":969,"50":976,"51":988,"52":992,"53":993,"54":996,"55":997,"56":999,"57":1003},{"0":514,"1":519,"2":542,"3":550,"4":559,"5":568,"6":569,"7":570,"8":597,"9":599,"10":624,"11":629,"12":631,"13":637,"14":653,"15":660,"16":669,"17":704,"18":711,"19":713,"22":752,"23":784,"24":786,"25":793,"26":805,"27":813,"28":823,"29":824,"30":839,"31":843,"32":854,"33":864,"34":868,"35":876,"36":894,"37":895,"38":897,"39":909,"40":930,"41":943,"42":994,"43":1001,"44":1013,"45":1023},{"0":527,"1":528,"2":537,"3":555,"4":573,"5":613,"6":681,"7":682,"8":689,"9":695,"10":732,"11":759,"12":804,"13":850,"14":860,"15":870,"16":880,"17":911,"19":974,"20":985,"21":989},{"0":530,"1":531,"2":602,"3":618,"4":627,"6":666,"7":673,"8":773,"9":811,"10":891},{"1":900,"4":1018},{"2":703},[],[]]