[{"0":1,"1":2,"2":3,"3":6,"4":7,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"11":14,"13":17,"14":19,"15":20,"17":22,"18":23,"19":24,"20":25,"21":26,"22":27,"23":28,"24":29,"25":30,"26":31,"27":32,"28":33,"29":34,"30":35,"31":36,"32":37,"33":38,"34":39,"35":40,"36":42,"37":43,"38":45,"39":47,"40":48,"41":49,"42":50,"44":52,"45":53,"46":54,"47":55,"48":56,"49":57,"50":58,"52":60,"53":61,"54":63,"55":64,"56":66,"57":67,"58":68,"59":69,"60":70,"61":71,"62":72,"63":73,"64":74,"65":75,"66":76,"67":77,"69":79,"70":80,"71":81,"72":82,"74":84,"75":85,"76":86,"77":87,"78":89,"79":90,"80":91,"81":92,"82":93,"83":94,"84":95,"85":96,"86":97,"87":98,"88":99,"89":100,"90":101,"91":102,"92":103,"93":105,"94":106,"95":107,"96":108,"97":109,"98":110,"99":111,"102":114,"103":115,"104":116,"105":117,"106":119,"107":120,"108":121,"109":122,"110":123,"111":125,"112":126,"113":127,"114":129,"115":130,"117":134,"118":135,"119":136,"121":138,"122":139,"123":140,"124":141,"125":142,"126":144,"127":145,"128":146,"129":147,"130":148,"131":149,"132":150,"133":151,"134":152,"135":153,"136":154,"137":155,"138":156,"139":157,"140":158,"141":159,"142":160,"144":162,"146":164,"147":165,"148":167,"149":168,"150":170,"152":172,"153":173,"154":174,"155":175,"156":176,"157":177,"158":178,"159":179,"160":181,"161":182,"162":183,"163":184,"164":185,"165":186,"166":187,"167":188,"168":189,"169":191,"170":193,"171":194,"172":195,"173":196,"174":197,"175":198,"176":200,"177":201,"178":202,"179":203,"180":204,"181":205,"182":206,"183":208,"184":209,"185":210,"186":211,"187":212,"188":213,"189":214,"190":215,"191":217,"192":218,"193":219,"194":220,"195":221,"196":222,"197":223,"198":224,"199":225,"200":227,"201":228,"202":229,"203":230,"204":231,"205":232,"206":234,"207":235,"208":236,"209":237,"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,"228":257,"229":258,"231":260,"232":261,"233":263,"234":264,"235":266,"238":269,"239":270,"240":271,"241":272,"242":273,"243":274,"244":275,"245":276,"246":277,"247":278,"248":279,"249":280,"250":281,"251":282,"252":283,"253":284,"254":285,"255":286,"256":287,"257":288,"260":291,"261":292,"262":293,"263":294,"264":295,"265":296,"266":297,"267":299,"268":301,"269":302,"270":303,"271":304,"272":305,"273":306,"274":307,"275":308,"276":309,"277":310,"279":312,"280":313,"281":314,"282":315,"283":316,"284":317,"285":318,"286":319,"287":320,"288":321,"289":322,"290":323,"291":324,"292":325,"294":327,"295":328,"296":329,"297":330,"298":331,"299":333,"300":334,"302":336,"303":337,"304":338,"305":339,"306":340,"307":341,"308":342,"309":343,"310":346,"311":347,"312":348,"313":349,"314":350,"315":352,"316":353,"317":354,"318":356,"319":357,"320":358,"322":360,"323":361,"324":362,"325":363,"326":365,"327":366,"328":367,"329":368,"330":369,"331":371,"332":372,"333":373,"334":374,"335":375,"336":376,"337":377,"338":378,"339":379,"340":380,"341":381,"342":382,"343":383,"344":384,"345":385,"346":386,"347":387,"348":388,"349":389,"350":390,"352":392,"353":393,"354":395,"355":396,"356":397,"357":398,"359":400,"360":401,"361":402,"362":403,"363":404,"364":405,"365":406,"366":408,"367":409,"368":410,"369":411,"370":412,"371":413,"372":414,"373":415,"374":417,"376":420,"377":421,"378":422,"379":423,"380":424,"381":425,"382":426,"383":427,"384":428,"385":429,"386":430,"387":431,"388":433,"389":434,"390":435,"391":436,"392":437,"393":438,"394":439,"395":440,"396":441,"398":443,"399":447,"400":448,"401":449,"404":452,"406":454,"407":455,"408":456,"410":459,"411":460,"412":461,"413":462,"414":463,"415":464,"416":465,"417":466,"418":467,"419":468,"420":469,"421":470,"422":471,"423":472,"424":473,"425":474,"426":475,"427":476,"428":477,"429":478,"430":479,"431":480,"432":481,"433":482,"434":484,"435":485,"436":487,"437":488,"438":489,"439":490,"440":491,"441":492,"442":493,"443":494,"444":495,"445":496,"446":497,"447":498,"448":499,"449":500,"450":501,"451":502,"452":503,"453":504,"454":505,"455":508,"456":509,"457":510,"458":511,"459":513,"460":522,"461":523,"462":529,"463":532,"464":543,"465":545,"466":547,"467":552,"468":556,"469":557,"470":558,"471":571,"472":574,"473":578,"474":587,"475":588,"476":589,"477":594,"478":598,"479":601,"480":603,"481":608,"482":617,"483":621,"484":642,"485":647,"486":656,"487":658,"488":661,"489":664,"490":665,"491":666,"492":670,"493":678,"494":684,"495":689,"496":694,"497":700,"498":702,"499":706,"500":709,"501":711,"502":713,"503":714,"504":716,"505":717,"506":718,"507":722,"508":725,"509":732,"510":743,"511":745,"512":747,"513":750,"514":751,"515":754,"516":757,"517":773,"518":775,"519":784,"520":786,"521":790,"522":792,"523":794,"524":796,"525":799,"526":801,"527":804,"528":807,"529":808,"530":812,"531":813,"532":815,"533":823,"534":826,"535":828,"536":830,"537":831,"538":834,"539":840,"540":844,"541":851,"542":855,"543":868,"544":870,"545":871,"546":872,"547":878,"548":881,"549":886,"550":888,"551":889,"552":890,"553":891,"554":894,"555":895,"556":897,"557":898,"558":901,"559":905,"560":906,"561":911,"562":913,"563":916,"564":923,"565":931,"566":932,"567":933,"568":937,"569":941,"570":943,"571":948,"572":950,"573":954,"574":955,"575":967,"576":969,"577":970,"578":972,"579":984,"580":985,"581":986,"582":991,"583":994,"584":996,"585":1002,"586":1009,"587":1017,"588":1022},{"0":0,"1":4,"2":5,"3":15,"4":18,"5":41,"6":46,"7":62,"8":65,"9":104,"10":118,"11":124,"12":128,"13":131,"14":143,"15":166,"16":169,"17":180,"18":190,"19":192,"20":199,"21":207,"22":216,"23":226,"24":233,"25":238,"26":262,"27":298,"28":300,"29":332,"30":344,"31":345,"32":351,"33":364,"34":370,"35":394,"36":407,"37":416,"38":418,"39":432,"40":444,"41":445,"42":446,"43":457,"44":483,"45":486,"46":507,"47":512,"48":515,"49":517,"50":520,"51":521,"52":524,"54":528,"55":533,"56":535,"57":536,"58":538,"59":539,"60":542,"61":554,"62":555,"63":561,"64":563,"65":565,"66":569,"67":572,"68":575,"69":577,"70":581,"71":585,"72":591,"73":597,"74":600,"75":607,"76":609,"77":610,"78":611,"79":612,"80":613,"81":614,"82":615,"83":618,"84":622,"85":629,"86":638,"87":640,"88":641,"89":643,"90":644,"91":645,"92":646,"93":648,"94":649,"95":653,"96":655,"97":657,"98":659,"99":660,"100":662,"101":671,"102":672,"103":675,"104":677,"105":679,"106":680,"107":681,"108":683,"109":686,"110":687,"111":688,"112":692,"113":695,"114":697,"115":703,"116":704,"117":712,"118":720,"119":723,"120":724,"121":727,"122":728,"123":730,"124":731,"125":734,"126":736,"127":737,"128":746,"129":752,"130":755,"131":758,"132":760,"133":764,"134":765,"135":767,"136":770,"137":774,"138":777,"139":778,"140":779,"141":780,"142":781,"143":782,"144":788,"145":789,"146":795,"147":800,"148":802,"149":809,"150":814,"151":817,"152":818,"153":819,"154":822,"155":824,"156":825,"157":827,"158":832,"159":833,"160":835,"161":836,"162":841,"163":843,"164":845,"165":848,"166":849,"167":850,"168":853,"169":858,"170":859,"171":861,"173":863,"174":875,"175":879,"176":885,"177":887,"178":899,"179":900,"180":902,"181":904,"182":909,"183":910,"184":912,"185":915,"186":920,"187":924,"188":926,"189":934,"190":935,"191":936,"192":945,"193":946,"194":957,"195":958,"196":961,"197":962,"198":964,"199":965,"200":966,"201":973,"202":974,"203":975,"204":976,"205":981,"206":988,"207":990,"208":997,"209":1006,"210":1014,"211":1016,"212":1018,"213":1021,"214":1023},{"0":44,"1":88,"2":132,"3":265,"4":355,"5":506,"6":518,"7":534,"8":544,"9":549,"10":562,"11":564,"12":566,"13":567,"14":568,"15":570,"16":582,"17":606,"18":616,"19":620,"20":623,"21":628,"22":630,"23":632,"24":636,"25":651,"26":652,"27":668,"28":673,"29":682,"30":693,"31":705,"32":707,"33":708,"34":719,"35":721,"36":726,"37":733,"38":739,"40":742,"41":744,"42":749,"43":753,"44":762,"45":768,"46":776,"47":785,"48":787,"49":791,"50":798,"51":820,"52":821,"53":829,"54":837,"55":839,"56":842,"57":852,"58":854,"59":857,"60":865,"61":884,"62":907,"63":921,"64":922,"65":925,"66":927,"67":928,"68":930,"69":939,"70":940,"71":942,"72":951,"73":953,"74":956,"75":959,"76":960,"77":963,"78":968,"79":989,"80":999,"81":1001,"82":1007,"83":1013},{"0":516,"1":530,"2":541,"3":546,"4":576,"5":579,"6":580,"7":583,"8":590,"9":592,"10":595,"11":596,"12":599,"13":619,"14":624,"15":625,"16":627,"17":634,"18":635,"19":639,"20":650,"21":676,"22":685,"23":699,"24":715,"25":735,"26":756,"27":769,"28":771,"30":793,"31":816,"32":860,"33":869,"34":892,"35":893,"36":944,"37":947,"38":977,"39":980,"40":982,"41":983,"42":992,"43":1000,"44":1010},[514,548,553,586,605,631,633,654,667,669,691,741,763,772,797,806,810,811,846,847,866,874,908,914,979,993,995,1012,1015,1020],{"0":527,"1":537,"2":540,"4":604,"5":626,"7":698,"8":710,"9":748,"10":766,"11":883,"14":971,"15":998,"16":1004},{"0":519,"2":584,"3":593,"4":674,"5":729,"6":738,"7":759,"8":880,"9":919,"10":938,"12":1008},{"0":525,"1":559,"2":690,"3":696,"4":761,"5":803,"7":929,"8":1003,"10":1019},[663],{"0":551,"5":987},{"2":864,"3":873},[],[]]