[{"1":1,"2":2,"3":3,"4":4,"5":7,"6":8,"7":10,"9":12,"10":13,"11":14,"12":15,"13":16,"14":17,"15":18,"16":20,"17":21,"18":22,"19":23,"20":24,"21":25,"22":26,"23":27,"24":28,"25":29,"26":30,"27":31,"28":32,"29":33,"30":34,"31":35,"32":36,"33":38,"34":39,"35":40,"36":41,"37":42,"38":44,"40":46,"42":50,"44":52,"45":53,"46":55,"47":57,"48":58,"49":59,"50":60,"51":61,"52":62,"54":64,"56":66,"58":68,"59":69,"60":70,"63":74,"64":75,"65":76,"66":79,"67":80,"68":81,"69":82,"70":83,"71":84,"72":85,"73":86,"74":87,"75":88,"76":89,"77":90,"78":92,"79":93,"80":94,"81":95,"82":96,"83":98,"84":99,"85":100,"86":102,"87":103,"88":104,"89":105,"90":107,"91":108,"92":109,"93":110,"94":111,"95":113,"96":114,"97":115,"98":116,"99":117,"101":119,"102":122,"103":124,"104":125,"106":127,"107":128,"108":129,"109":130,"110":131,"111":132,"112":133,"113":134,"114":136,"116":138,"117":139,"118":140,"119":141,"120":142,"121":143,"122":144,"123":146,"124":147,"125":148,"126":149,"127":150,"129":152,"132":155,"134":157,"136":159,"137":160,"138":161,"139":162,"140":163,"141":164,"142":165,"143":166,"144":167,"145":168,"146":169,"147":170,"149":174,"150":175,"152":177,"153":178,"156":181,"157":183,"158":186,"159":188,"160":189,"161":190,"162":191,"163":192,"164":193,"165":194,"166":197,"167":198,"168":199,"169":200,"170":201,"171":203,"172":204,"173":205,"174":206,"175":207,"176":208,"177":209,"178":210,"179":211,"180":212,"181":213,"182":216,"183":218,"184":219,"185":220,"186":221,"187":223,"188":224,"189":225,"190":227,"191":230,"192":231,"193":232,"194":233,"195":234,"196":236,"197":237,"198":239,"199":240,"200":241,"201":242,"202":243,"203":245,"204":246,"205":248,"206":249,"207":250,"208":251,"209":252,"210":253,"211":254,"212":256,"213":259,"214":260,"216":262,"217":264,"218":265,"219":266,"220":267,"221":268,"222":269,"223":271,"224":272,"225":273,"226":274,"227":275,"228":276,"229":277,"231":279,"232":280,"233":281,"235":283,"236":284,"237":285,"238":286,"239":288,"240":289,"241":290,"242":291,"243":292,"244":293,"246":295,"247":296,"248":297,"249":298,"250":299,"252":301,"253":303,"254":304,"255":305,"256":306,"257":307,"259":309,"261":311,"262":313,"263":315,"264":317,"265":318,"266":319,"267":320,"268":321,"269":322,"270":323,"271":324,"272":325,"273":326,"275":328,"276":329,"277":330,"278":331,"279":332,"280":334,"281":335,"282":338,"283":339,"284":341,"285":342,"286":343,"287":344,"288":345,"289":346,"290":347,"291":349,"292":350,"293":351,"294":352,"295":353,"296":354,"297":355,"298":356,"299":357,"300":359,"301":360,"302":362,"303":363,"304":364,"306":366,"307":367,"308":368,"309":369,"310":370,"311":371,"312":372,"313":373,"314":374,"315":375,"316":376,"317":378,"318":380,"319":382,"320":383,"321":384,"322":385,"323":386,"324":387,"325":388,"326":389,"327":390,"328":391,"329":392,"331":394,"332":395,"333":396,"334":397,"335":398,"336":399,"337":400,"338":401,"339":402,"340":405,"341":406,"342":407,"343":408,"344":409,"345":410,"346":411,"347":412,"348":413,"350":415,"351":416,"352":417,"355":420,"356":422,"357":423,"358":424,"359":425,"360":426,"362":428,"363":429,"364":431,"365":432,"366":433,"367":434,"368":435,"369":436,"371":438,"372":439,"373":440,"374":442,"375":444,"376":445,"377":447,"378":448,"379":449,"380":452,"381":453,"382":455,"383":456,"384":457,"385":458,"386":459,"387":460,"388":462,"389":463,"390":464,"391":465,"392":467,"393":469,"394":470,"395":472,"396":473,"397":474,"398":475,"399":476,"400":477,"401":478,"402":480,"403":481,"404":483,"405":484,"406":485,"407":486,"408":487,"409":489,"410":491,"411":492,"412":493,"413":494,"414":496,"415":497,"416":498,"417":499,"418":500,"419":501,"420":502,"421":503,"422":504,"423":506,"424":507,"425":509,"426":510,"427":511,"428":519,"429":522,"430":523,"431":524,"432":526,"433":527,"434":529,"435":530,"436":531,"437":532,"438":533,"439":535,"440":539,"441":545,"442":547,"443":548,"444":549,"445":551,"446":552,"447":554,"448":556,"449":558,"450":559,"451":561,"452":562,"453":563,"454":566,"455":567,"456":568,"457":570,"458":573,"459":579,"460":582,"461":585,"462":589,"463":590,"464":591,"465":593,"466":594,"467":595,"468":597,"469":598,"470":600,"471":601,"472":602,"473":604,"474":606,"475":608,"476":611,"477":615,"478":616,"479":617,"480":618,"481":619,"482":625,"483":628,"484":629,"485":630,"486":636,"487":637,"488":638,"489":639,"490":640,"491":643,"492":645,"493":646,"494":647,"495":648,"496":650,"497":654,"498":656,"499":657,"500":658,"501":659,"502":660,"503":663,"504":669,"505":670,"506":672,"507":673,"508":676,"509":677,"510":681,"511":682,"512":686,"513":687,"514":688,"515":692,"516":693,"517":695,"518":697,"519":698,"520":699,"521":701,"522":702,"523":703,"524":707,"525":708,"526":710,"527":711,"528":713,"529":718,"530":719,"531":724,"532":726,"533":727,"534":729,"535":731,"536":732,"537":733,"538":739,"539":740,"540":743,"541":744,"542":750,"543":751,"544":752,"545":754,"546":759,"547":762,"548":764,"549":765,"550":768,"551":770,"552":771,"553":772,"554":773,"555":778,"556":779,"557":781,"558":782,"559":785,"560":786,"561":790,"562":791,"563":793,"564":795,"565":800,"566":801,"567":804,"568":809,"569":812,"570":814,"571":815,"572":816,"573":817,"574":820,"575":821,"576":825,"577":826,"578":827,"579":828,"580":829,"581":833,"582":837,"583":838,"584":839,"585":840,"586":842,"587":843,"588":844,"589":845,"590":848,"591":851,"592":852,"593":853,"594":854,"595":855,"596":857,"597":858,"598":859,"599":861,"600":862,"601":864,"603":873,"604":874,"605":878,"606":879,"607":882,"608":884,"610":887,"611":889,"612":890,"613":891,"614":892,"615":894,"616":896,"617":899,"618":900,"619":902,"620":903,"621":905,"622":906,"623":910,"624":912,"625":913,"626":915,"627":920,"628":921,"629":922,"630":925,"631":926,"632":927,"633":928,"634":929,"635":930,"636":933,"637":936,"638":941,"639":943,"640":944,"641":947,"642":949,"643":950,"644":952,"645":954,"646":959,"647":960,"648":962,"649":963,"650":964,"651":965,"652":967,"653":968,"654":969,"655":971,"656":974,"657":977,"658":978,"659":979,"660":980,"661":981,"662":983,"663":984,"664":992,"665":995,"666":998,"667":1000,"668":1001,"669":1004,"670":1007,"671":1008,"672":1010,"673":1012,"674":1013,"675":1014,"676":1018,"677":1020,"678":1021},{"0":5,"1":6,"2":9,"3":19,"4":37,"5":43,"6":48,"7":54,"8":56,"9":72,"10":77,"11":78,"12":91,"13":97,"14":101,"15":106,"16":112,"17":120,"18":121,"19":123,"20":135,"21":145,"22":171,"23":172,"24":182,"25":184,"26":185,"27":187,"28":195,"29":196,"30":202,"31":214,"32":215,"33":217,"34":222,"35":228,"36":229,"37":235,"38":238,"39":244,"40":247,"41":255,"42":257,"43":258,"44":263,"45":287,"46":302,"47":312,"48":314,"49":333,"50":336,"51":337,"52":340,"53":348,"54":358,"55":361,"56":377,"57":379,"58":381,"59":403,"60":404,"61":421,"62":430,"63":441,"64":443,"65":450,"66":454,"67":466,"68":468,"69":471,"70":479,"71":482,"72":488,"73":490,"74":495,"75":505,"76":508,"77":513,"78":514,"79":516,"80":517,"81":520,"82":525,"83":528,"84":534,"85":536,"86":538,"87":540,"88":541,"89":542,"90":544,"91":546,"92":550,"93":553,"94":557,"95":564,"96":565,"97":571,"98":574,"99":576,"100":578,"101":587,"102":588,"103":592,"105":599,"106":603,"107":605,"108":607,"110":612,"111":613,"112":620,"113":624,"114":626,"115":627,"116":631,"117":632,"118":633,"119":635,"120":641,"122":661,"123":664,"124":667,"125":668,"126":674,"127":683,"128":685,"129":689,"130":690,"131":694,"132":705,"133":706,"134":714,"135":716,"136":720,"137":721,"138":723,"139":728,"140":730,"141":734,"142":735,"143":736,"144":737,"145":738,"146":742,"147":745,"148":746,"149":747,"150":748,"151":749,"152":753,"153":755,"154":756,"155":757,"156":758,"157":774,"158":775,"159":777,"160":783,"161":784,"162":787,"163":792,"164":794,"165":796,"166":797,"167":798,"168":799,"169":802,"170":805,"171":806,"172":808,"173":810,"174":811,"175":819,"176":822,"177":823,"178":824,"179":835,"180":836,"181":846,"182":847,"183":849,"184":850,"185":867,"186":868,"187":870,"188":875,"189":877,"190":880,"191":881,"192":883,"193":888,"194":897,"195":898,"196":901,"197":904,"198":909,"199":914,"200":916,"201":918,"202":919,"203":923,"205":931,"206":935,"207":937,"208":940,"209":945,"210":946,"211":948,"212":951,"213":953,"214":955,"215":957,"216":966,"217":970,"218":972,"219":973,"220":976,"221":982,"222":985,"223":987,"224":991,"225":993,"226":996,"227":999,"228":1003,"229":1005,"230":1006,"231":1015,"232":1016,"234":1022},{"0":49,"1":226,"2":270,"3":316,"4":446,"5":451,"6":461,"7":555,"8":580,"9":581,"10":586,"11":609,"12":622,"13":634,"14":644,"15":651,"16":662,"17":678,"19":725,"20":763,"22":767,"24":788,"25":803,"26":813,"27":818,"28":841,"29":860,"30":876,"31":908,"32":917,"33":942,"34":988,"35":997,"36":1002,"37":1017},{"0":512,"1":543,"3":649,"4":684,"5":722,"6":741,"7":761,"8":789,"12":869,"13":871,"14":886,"15":895,"17":938},{"1":583,"3":621,"4":652,"5":709,"6":807,"8":865,"9":961,"10":986},{"0":675,"1":715,"2":760,"4":989,"5":1009},[665,666,717,956,958],{"0":577,"1":642,"4":893,"5":934,"6":1011},{"0":575,"1":671,"4":990},{"2":907},{"0":521,"2":569,"3":572,"6":939},[560],[680],[]]