[{"0":0,"1":1,"2":2,"3":4,"4":5,"5":6,"6":8,"7":9,"8":10,"9":11,"11":13,"12":14,"13":15,"14":16,"15":17,"16":18,"17":19,"18":20,"19":21,"20":23,"21":24,"22":26,"23":28,"24":29,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":40,"34":41,"35":42,"36":43,"37":44,"38":45,"39":46,"40":47,"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":61,"55":63,"56":64,"57":66,"58":67,"59":69,"60":70,"61":71,"62":73,"63":74,"64":75,"65":76,"66":79,"67":81,"68":82,"69":83,"70":84,"71":85,"72":86,"73":89,"74":91,"75":93,"76":94,"77":95,"78":96,"79":97,"80":98,"81":99,"82":100,"83":101,"84":102,"85":104,"86":106,"87":107,"88":108,"89":109,"90":110,"91":112,"92":113,"93":115,"94":117,"95":118,"96":119,"97":120,"98":124,"99":125,"100":126,"101":127,"102":129,"103":131,"104":132,"105":133,"106":134,"107":135,"108":137,"109":138,"110":139,"111":140,"112":141,"113":142,"114":143,"115":144,"116":145,"117":146,"118":147,"119":148,"120":150,"121":151,"122":153,"123":154,"124":158,"125":159,"126":160,"127":161,"128":162,"129":163,"130":164,"131":165,"132":166,"133":167,"134":168,"135":170,"136":171,"137":172,"138":173,"139":174,"140":175,"141":177,"142":179,"143":180,"144":181,"145":182,"146":183,"147":184,"148":185,"149":186,"150":187,"151":188,"152":189,"153":190,"154":191,"155":192,"156":193,"157":194,"158":195,"159":196,"160":197,"161":198,"162":199,"163":200,"164":201,"165":203,"166":204,"167":205,"168":207,"169":208,"170":209,"171":211,"172":212,"173":213,"174":215,"175":217,"176":218,"177":220,"178":221,"179":222,"180":223,"181":224,"182":226,"183":227,"184":228,"185":229,"186":230,"187":232,"188":233,"189":234,"190":235,"191":236,"192":237,"193":238,"194":239,"195":240,"196":241,"197":244,"198":245,"199":246,"200":247,"201":248,"202":249,"203":251,"204":252,"205":254,"206":255,"207":256,"208":257,"209":258,"210":259,"211":261,"212":262,"213":264,"214":265,"215":266,"216":267,"217":268,"218":270,"219":271,"220":272,"221":273,"222":274,"223":275,"224":276,"225":277,"226":278,"227":279,"228":280,"229":281,"230":282,"231":283,"232":284,"233":287,"234":288,"235":289,"236":290,"237":291,"238":293,"239":294,"240":295,"241":296,"242":297,"243":298,"244":299,"245":300,"246":301,"247":302,"248":306,"249":307,"250":310,"251":312,"252":313,"253":314,"254":315,"255":316,"256":317,"257":318,"258":319,"259":320,"260":321,"261":322,"262":324,"263":325,"264":327,"265":328,"266":329,"267":330,"268":331,"269":332,"270":333,"271":334,"272":336,"273":337,"274":338,"275":339,"276":340,"277":341,"278":342,"279":343,"280":349,"281":350,"282":351,"283":352,"284":353,"285":355,"286":356,"287":357,"288":358,"289":359,"290":360,"291":361,"292":362,"293":363,"294":364,"295":365,"296":367,"297":368,"298":369,"299":370,"300":371,"301":372,"302":373,"303":374,"304":375,"305":376,"306":377,"307":378,"308":379,"309":380,"310":381,"311":383,"312":384,"313":385,"314":386,"315":387,"316":389,"317":390,"318":391,"319":392,"320":393,"321":394,"322":396,"323":397,"324":398,"325":399,"326":400,"327":401,"328":402,"329":403,"330":404,"331":405,"332":406,"333":408,"334":409,"335":410,"336":411,"337":412,"338":413,"339":414,"340":415,"341":416,"342":417,"343":418,"344":419,"345":420,"346":421,"347":423,"348":424,"349":425,"350":426,"351":427,"352":428,"353":429,"354":430,"355":431,"356":432,"357":433,"358":434,"359":435,"360":436,"361":438,"362":439,"363":441,"364":442,"365":443,"366":444,"367":446,"368":447,"369":448,"370":449,"371":451,"372":453,"373":454,"374":455,"375":457,"376":460,"377":461,"378":463,"379":464,"380":465,"381":466,"382":467,"383":470,"384":471,"385":472,"386":476,"387":477,"388":478,"389":479,"390":480,"391":481,"392":482,"393":483,"394":485,"395":486,"396":487,"397":488,"398":489,"399":490,"400":493,"401":494,"402":495,"403":496,"404":497,"405":498,"406":501,"407":502,"408":503,"409":504,"410":506,"411":507,"412":508,"413":509,"414":510,"415":511,"416":515,"417":519,"418":520,"419":528,"420":533,"421":542,"422":550,"423":551,"424":556,"425":557,"426":559,"427":562,"428":564,"429":565,"430":567,"431":568,"432":573,"433":574,"434":576,"435":578,"436":581,"437":582,"438":585,"439":586,"440":587,"441":591,"442":593,"443":594,"444":600,"445":601,"446":602,"447":603,"448":608,"449":616,"450":621,"451":623,"452":624,"453":625,"454":627,"455":629,"456":630,"457":632,"458":633,"459":634,"460":635,"461":639,"462":640,"463":642,"464":643,"465":646,"466":647,"467":652,"468":653,"469":666,"470":669,"471":675,"472":677,"473":678,"474":682,"475":685,"476":688,"477":692,"478":694,"479":696,"480":704,"481":706,"482":707,"483":708,"484":709,"485":712,"486":715,"487":716,"488":726,"489":727,"490":730,"491":731,"492":732,"493":741,"494":749,"495":750,"496":756,"497":768,"498":776,"499":777,"500":778,"501":779,"502":780,"503":782,"504":783,"505":786,"506":791,"507":792,"508":793,"509":794,"510":800,"511":805,"512":807,"513":819,"514":820,"515":822,"516":825,"517":829,"518":830,"519":832,"520":838,"521":841,"522":843,"523":844,"524":846,"525":849,"526":851,"527":855,"528":862,"529":867,"530":883,"531":892,"532":893,"533":896,"534":898,"535":914,"536":919,"537":920,"538":923,"539":927,"540":930,"541":932,"542":934,"543":940,"544":943,"545":946,"546":948,"547":960,"548":964,"549":967,"550":971,"551":972,"552":973,"553":982,"554":984,"555":985,"556":986,"557":987,"558":988,"559":989,"560":991,"561":992,"562":997,"563":998,"564":1001,"565":1005,"566":1006,"567":1007,"568":1008,"569":1010,"570":1015,"571":1019,"572":1022,"573":1023},{"0":3,"1":7,"2":22,"3":25,"4":27,"5":30,"6":39,"7":62,"8":65,"9":68,"10":72,"11":80,"12":87,"13":88,"14":90,"15":92,"16":105,"17":111,"18":114,"19":121,"20":122,"21":123,"22":128,"23":130,"24":136,"25":149,"26":152,"27":155,"28":156,"29":157,"30":169,"31":176,"32":178,"33":202,"34":206,"35":210,"36":214,"37":216,"38":219,"39":225,"40":231,"41":242,"42":243,"43":250,"44":253,"45":260,"46":263,"47":269,"48":285,"49":286,"50":292,"51":303,"52":304,"53":305,"54":308,"55":311,"56":323,"57":335,"58":345,"59":346,"60":347,"61":348,"62":354,"63":366,"64":388,"65":395,"66":407,"67":437,"68":440,"69":445,"70":450,"71":452,"72":456,"73":458,"74":459,"75":462,"76":468,"77":469,"78":473,"79":474,"80":475,"81":484,"82":491,"83":492,"84":499,"85":500,"86":516,"88":529,"89":530,"90":535,"91":539,"92":540,"93":541,"94":544,"95":558,"96":563,"97":569,"98":575,"99":583,"100":588,"101":589,"102":592,"103":598,"104":604,"105":610,"106":618,"107":620,"108":622,"109":638,"110":641,"111":644,"112":651,"113":655,"114":656,"115":659,"116":665,"117":679,"118":681,"119":690,"120":693,"121":695,"122":699,"123":702,"124":710,"125":711,"126":717,"127":721,"128":722,"129":724,"130":733,"131":734,"132":739,"133":742,"134":746,"135":747,"136":751,"137":757,"138":758,"139":759,"140":761,"141":765,"142":795,"143":801,"144":802,"145":803,"146":810,"147":812,"148":813,"149":818,"150":821,"151":827,"152":839,"153":840,"154":845,"155":850,"156":852,"157":853,"158":863,"159":864,"160":871,"161":878,"162":881,"163":885,"164":889,"165":891,"166":894,"167":895,"168":897,"169":901,"170":904,"171":906,"172":908,"173":909,"174":910,"175":912,"176":913,"177":924,"178":929,"179":936,"180":941,"181":942,"182":944,"183":945,"184":949,"185":959,"186":963,"187":965,"188":974,"189":1009,"190":1012,"191":1013,"192":1018,"193":1020},[77,103,116,309,326,422,505,523,536,548,555,561,570,577,619,637,648,654,661,667,671,687,689,697,701,703,718,736,752,762,766,775,806,811,848,856,865,868,874,882,886,902,925,933,937,951,956,961,968,975,977,980,981,990,993,995,996,1000,1011,1021],[78,344,382,527,531,532,543,552,595,614,631,657,670,673,674,719,720,770,828,836,854,879,907,922,935,950,952,955,962,979,1016,1017],{"0":526,"1":566,"2":571,"3":579,"4":584,"5":597,"6":607,"7":609,"8":611,"9":628,"10":672,"11":676,"12":723,"13":744,"14":755,"15":764,"16":767,"17":784,"18":788,"19":789,"20":808,"21":809,"22":816,"23":835,"24":903,"25":905,"26":915,"28":970},[522,545,572,580,590,662,663,664,686,700,705,769,772,785,790,826,847,873,884,900,921,966,969,994],[513,521,534,547,596,626,636,650,658,680,698,735,753,754,771,781,787,796,837,842,858,861,875,890,911,1002],{"0":514,"2":553,"3":617,"4":691,"5":729,"6":773,"7":804,"8":833,"9":866,"10":870,"11":918,"12":983},[599,613,645,714,737,760,763,797,823,857,859,876,877,880,888,939,947,953],{"0":512,"1":560,"2":612,"3":668,"4":684,"5":725,"6":743,"7":798,"9":824,"10":834,"11":887,"12":1003},[538,549,740,745,799,899,954,958,999],{"1":649,"2":660,"3":728,"4":814,"5":831,"6":860,"7":869,"8":872,"9":916,"10":931,"11":976},[546,605,738,817,938,957,1014],[554,774,928,1004],[537,615],[606,713,748,917],[525],[]]