[{"0":0,"1":2,"2":3,"3":4,"4":5,"5":8,"6":10,"8":13,"9":15,"10":16,"13":19,"14":20,"15":21,"16":22,"17":23,"18":25,"19":28,"20":29,"21":30,"22":31,"23":33,"24":34,"25":35,"26":36,"27":37,"28":38,"29":39,"30":40,"31":41,"32":42,"33":43,"34":45,"35":47,"36":49,"37":51,"38":52,"39":54,"40":55,"41":56,"42":57,"43":58,"44":60,"45":61,"46":63,"47":64,"48":66,"49":67,"50":68,"51":70,"52":71,"53":74,"54":75,"55":76,"56":77,"57":78,"58":79,"59":80,"60":81,"61":82,"62":83,"63":85,"64":86,"65":87,"66":88,"67":89,"68":90,"69":93,"70":94,"71":95,"72":96,"73":97,"74":98,"75":100,"76":101,"77":103,"78":104,"79":105,"80":106,"81":108,"82":109,"84":115,"85":116,"86":117,"87":118,"88":119,"89":120,"90":121,"91":123,"92":124,"93":125,"94":126,"95":127,"96":128,"97":130,"98":131,"99":133,"100":134,"101":137,"102":138,"103":139,"104":140,"105":141,"106":142,"107":143,"108":145,"109":146,"110":149,"112":151,"113":152,"114":153,"115":154,"116":155,"117":157,"118":158,"119":159,"120":160,"121":161,"122":162,"123":164,"124":166,"125":167,"126":168,"127":169,"128":171,"129":172,"130":173,"131":176,"132":177,"133":178,"134":179,"135":180,"136":184,"137":185,"138":186,"139":187,"140":189,"141":190,"142":191,"143":193,"144":195,"145":196,"146":197,"147":198,"148":199,"149":200,"150":202,"151":203,"152":205,"153":206,"154":208,"155":211,"156":212,"157":213,"158":215,"159":216,"160":218,"161":220,"162":221,"163":222,"164":223,"165":224,"166":225,"167":226,"168":228,"169":229,"170":230,"171":231,"172":232,"173":233,"174":234,"175":235,"176":238,"177":239,"178":240,"179":241,"180":242,"181":243,"182":244,"183":245,"184":246,"185":247,"186":248,"187":249,"188":250,"189":252,"190":253,"191":254,"192":256,"193":257,"194":260,"195":261,"196":262,"197":263,"198":264,"199":266,"200":267,"201":268,"202":269,"203":270,"204":271,"205":272,"206":275,"207":276,"208":278,"209":279,"210":280,"211":281,"212":282,"213":283,"214":284,"215":285,"216":286,"217":289,"218":290,"219":291,"220":292,"221":293,"222":294,"223":295,"224":297,"225":298,"226":299,"227":301,"228":302,"229":303,"230":304,"232":306,"233":307,"234":308,"235":309,"236":310,"237":311,"238":313,"239":314,"240":315,"241":316,"242":319,"243":320,"244":323,"245":324,"246":328,"247":329,"248":331,"249":332,"250":333,"251":334,"252":335,"253":336,"254":338,"255":339,"256":340,"257":344,"258":348,"259":349,"260":351,"261":353,"262":354,"263":355,"264":356,"265":357,"266":358,"267":361,"268":362,"269":363,"270":365,"271":366,"272":367,"273":368,"274":369,"275":370,"276":371,"277":372,"278":373,"280":376,"281":377,"282":378,"283":379,"284":380,"285":382,"286":383,"287":384,"288":385,"289":386,"290":387,"291":388,"292":389,"293":390,"294":391,"295":392,"296":393,"297":394,"298":397,"300":399,"301":400,"302":401,"303":403,"304":405,"305":406,"306":408,"307":409,"308":411,"309":412,"310":414,"311":417,"312":418,"313":419,"314":420,"315":421,"316":422,"317":423,"318":424,"319":426,"320":427,"321":428,"322":429,"323":430,"324":431,"325":432,"326":433,"327":434,"328":438,"329":439,"330":441,"331":443,"332":445,"333":446,"334":447,"335":448,"336":449,"337":450,"338":451,"339":453,"340":454,"341":455,"342":456,"343":457,"344":458,"345":459,"346":460,"347":461,"348":462,"349":463,"350":465,"351":466,"352":467,"353":468,"354":469,"355":470,"356":472,"357":473,"358":475,"359":478,"360":481,"361":482,"362":484,"363":485,"364":486,"365":487,"366":488,"367":490,"368":492,"369":494,"370":495,"371":496,"372":497,"373":498,"374":499,"375":501,"376":502,"377":503,"378":504,"379":505,"380":508,"381":509,"382":511,"383":514,"384":517,"385":518,"386":519,"387":520,"388":522,"389":527,"390":530,"391":531,"392":533,"393":534,"394":536,"395":538,"396":539,"397":547,"398":550,"399":554,"400":555,"401":559,"402":563,"403":564,"404":566,"405":568,"406":575,"407":580,"408":585,"409":586,"410":587,"411":588,"412":589,"413":592,"414":593,"415":594,"416":597,"417":598,"418":600,"419":602,"420":604,"421":605,"422":609,"423":610,"424":612,"425":615,"426":617,"427":618,"428":619,"429":620,"430":621,"431":624,"432":628,"433":629,"434":631,"435":632,"436":633,"437":635,"438":636,"439":637,"440":640,"441":641,"442":642,"443":646,"444":647,"445":650,"446":651,"447":654,"448":656,"449":658,"450":659,"451":662,"452":663,"453":664,"454":665,"455":666,"456":667,"457":669,"458":672,"459":678,"460":679,"461":683,"462":686,"463":690,"464":691,"465":693,"466":694,"467":695,"468":697,"469":700,"470":702,"471":704,"472":707,"473":709,"474":710,"475":711,"476":712,"477":713,"478":714,"479":715,"480":722,"481":726,"482":730,"483":733,"484":734,"485":736,"486":739,"487":744,"488":750,"489":751,"490":757,"491":761,"492":762,"493":763,"494":766,"495":768,"496":770,"497":771,"498":778,"499":779,"500":780,"501":781,"502":782,"503":783,"505":788,"506":790,"507":791,"508":793,"509":798,"510":804,"511":806,"512":812,"513":813,"514":814,"515":816,"516":818,"517":819,"518":820,"519":825,"520":826,"521":827,"522":828,"523":829,"524":830,"525":831,"526":834,"527":836,"528":837,"529":839,"530":841,"531":843,"532":844,"533":846,"534":848,"535":849,"536":851,"537":852,"538":853,"539":855,"540":857,"541":858,"542":860,"543":861,"544":862,"545":863,"546":865,"547":868,"548":871,"549":873,"550":874,"551":875,"552":877,"553":881,"554":882,"555":885,"556":892,"557":895,"558":896,"559":897,"560":901,"561":903,"562":904,"563":908,"564":909,"565":914,"566":915,"567":916,"568":919,"569":921,"570":922,"571":924,"572":925,"573":927,"574":928,"575":929,"576":930,"577":934,"578":935,"579":937,"580":942,"581":943,"582":946,"583":948,"584":950,"585":951,"586":952,"587":953,"588":955,"589":957,"590":958,"591":959,"592":966,"593":967,"594":969,"595":970,"596":974,"597":975,"598":976,"599":977,"600":978,"601":980,"602":981,"603":982,"604":983,"605":985,"606":990,"607":993,"608":994,"609":998,"610":999,"611":1000,"612":1002,"613":1004,"614":1007,"615":1008,"616":1010,"617":1017,"618":1020,"619":1021,"620":1022},{"0":1,"1":6,"2":9,"3":12,"4":14,"5":26,"6":27,"7":32,"8":44,"9":46,"10":48,"11":53,"12":59,"13":62,"14":65,"15":69,"16":72,"17":73,"18":84,"19":91,"20":92,"21":99,"22":107,"23":110,"24":111,"25":114,"26":122,"27":132,"28":135,"29":136,"30":144,"31":147,"32":156,"33":165,"34":170,"35":174,"36":175,"37":181,"38":183,"39":188,"40":192,"41":194,"42":201,"43":204,"44":207,"45":210,"46":214,"47":217,"48":219,"49":227,"50":236,"51":237,"52":251,"53":255,"54":258,"55":259,"56":265,"57":273,"58":274,"59":277,"60":287,"61":288,"63":300,"64":317,"65":318,"66":321,"67":322,"68":325,"69":326,"70":327,"71":330,"72":341,"73":342,"74":343,"75":345,"76":346,"77":347,"78":350,"79":359,"80":360,"81":364,"82":374,"83":381,"84":395,"85":404,"86":407,"87":410,"88":413,"89":415,"90":416,"91":425,"92":435,"93":436,"94":437,"95":440,"96":442,"97":444,"98":464,"99":474,"100":476,"101":479,"102":480,"103":483,"104":489,"105":491,"106":493,"107":500,"108":506,"109":510,"110":512,"111":515,"112":521,"113":524,"114":525,"115":526,"116":532,"117":540,"118":541,"119":542,"120":543,"121":546,"122":552,"123":553,"124":556,"125":557,"126":560,"127":561,"128":562,"129":567,"130":569,"131":570,"132":571,"133":576,"134":578,"135":579,"136":581,"137":582,"138":583,"139":584,"140":590,"141":591,"142":599,"143":603,"144":607,"145":611,"146":613,"147":614,"148":622,"149":626,"150":644,"151":645,"152":648,"153":649,"154":653,"155":655,"156":657,"157":668,"158":670,"159":671,"160":673,"161":674,"162":675,"163":676,"164":682,"165":684,"166":685,"167":688,"168":689,"169":692,"170":696,"171":699,"172":703,"173":708,"174":719,"175":721,"176":723,"177":725,"178":727,"179":728,"180":729,"181":731,"182":737,"183":740,"184":742,"185":746,"186":747,"187":748,"188":752,"189":753,"190":754,"191":756,"192":758,"193":759,"194":760,"195":764,"196":769,"197":773,"198":775,"199":776,"200":785,"201":786,"202":795,"203":796,"204":799,"205":800,"206":801,"207":802,"208":803,"209":805,"210":807,"211":809,"212":810,"213":821,"214":822,"215":824,"216":832,"217":833,"218":835,"219":838,"220":842,"221":845,"222":854,"223":856,"224":859,"225":864,"226":866,"227":867,"228":869,"229":872,"230":876,"231":878,"232":879,"233":880,"234":883,"235":886,"236":888,"237":894,"238":898,"239":899,"240":900,"241":902,"242":905,"243":906,"244":907,"245":910,"246":911,"247":912,"248":918,"249":920,"250":923,"251":926,"252":931,"253":936,"254":938,"255":940,"256":941,"257":944,"258":945,"259":949,"260":960,"261":961,"262":963,"263":965,"264":973,"265":984,"266":986,"267":987,"268":988,"269":992,"270":995,"271":1001,"272":1011,"273":1012,"274":1019,"275":1023},[7,24,50,102,113,129,148,163,182,209,312,337,352,396,402,452,471,477,507,513,516,523,528,535,537,544,551,573,574,595,601,606,608,623,625,627,630,634,638,639,652,661,677,680,701,705,716,717,720,724,732,741,743,755,772,792,817,823,840,847,850,870,884,890,913,932,933,947,954,956,962,964,968,972,979,989,991,1006,1009,1013,1014,1016,1018],{"0":548,"1":558,"2":565,"3":572,"5":616,"6":643,"7":660,"8":687,"9":698,"12":774,"13":787,"14":789,"15":794,"16":811,"17":815,"19":917,"20":939,"21":971,"22":1005},{"1":706,"2":735,"3":777,"7":996,"8":1003,"9":1015},{"2":891,"3":997},{"1":549,"2":681,"3":745},[]]