[{"0":0,"2":2,"4":4,"5":5,"7":7,"8":8,"11":11,"13":13,"15":15,"17":18,"18":19,"19":20,"20":21,"22":23,"25":26,"26":27,"27":28,"29":30,"30":31,"31":32,"32":33,"33":35,"34":36,"36":38,"37":39,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"48":53,"50":55,"51":56,"53":58,"54":59,"55":60,"56":61,"58":63,"59":64,"62":67,"68":74,"69":76,"70":77,"71":79,"72":80,"73":81,"76":85,"77":86,"78":87,"79":88,"80":89,"81":90,"82":91,"83":92,"84":93,"86":95,"87":96,"88":97,"89":98,"90":100,"91":101,"92":102,"93":103,"94":104,"95":105,"97":107,"98":108,"99":110,"100":111,"101":112,"106":118,"107":119,"110":122,"114":126,"115":127,"116":128,"120":132,"122":134,"125":138,"126":140,"128":143,"129":144,"130":145,"131":146,"132":147,"133":148,"137":152,"139":154,"142":157,"143":158,"144":159,"145":160,"148":163,"149":164,"150":165,"152":167,"154":169,"155":170,"156":171,"157":172,"158":173,"160":176,"161":177,"163":180,"164":182,"169":189,"172":195,"174":198,"175":199,"176":200,"177":201,"178":202,"179":203,"180":204,"181":205,"182":207,"184":209,"185":210,"186":211,"189":214,"191":216,"192":217,"193":218,"194":220,"195":221,"196":222,"198":224,"199":226,"200":227,"201":229,"202":230,"203":232,"204":233,"205":234,"206":235,"207":236,"208":237,"210":239,"211":240,"212":241,"213":243,"215":245,"216":246,"217":247,"218":248,"219":249,"220":250,"221":251,"222":252,"223":253,"224":254,"225":255,"226":256,"227":257,"228":258,"229":259,"230":260,"232":263,"233":264,"234":265,"235":266,"236":267,"237":268,"239":270,"240":271,"241":272,"243":275,"244":276,"245":277,"247":280,"249":282,"250":283,"252":285,"255":288,"256":289,"257":290,"258":291,"259":292,"261":294,"262":296,"264":298,"265":299,"267":302,"269":304,"270":305,"271":306,"273":308,"274":309,"276":311,"277":312,"278":313,"279":315,"280":316,"281":317,"282":318,"283":319,"285":322,"286":323,"288":325,"289":326,"290":327,"291":328,"293":330,"294":331,"295":332,"296":333,"297":334,"298":337,"299":338,"300":339,"301":340,"302":342,"303":343,"304":344,"305":345,"306":346,"307":348,"308":349,"309":350,"310":351,"311":354,"313":358,"314":359,"315":360,"316":361,"317":362,"320":365,"321":366,"322":367,"324":369,"326":371,"330":375,"331":378,"333":380,"334":381,"337":385,"340":388,"342":391,"343":392,"344":393,"345":395,"346":397,"347":398,"348":399,"350":402,"351":403,"352":404,"354":406,"355":407,"356":408,"358":411,"359":412,"361":414,"362":415,"363":416,"364":417,"365":418,"366":419,"367":420,"368":421,"371":424,"372":426,"376":430,"381":435,"382":436,"383":437,"385":440,"386":441,"387":442,"388":443,"390":445,"391":446,"393":449,"394":450,"395":451,"396":452,"398":454,"399":455,"400":456,"401":457,"402":458,"405":461,"406":462,"407":463,"408":464,"409":465,"410":466,"411":467,"413":470,"414":471,"416":473,"417":474,"419":476,"420":477,"421":478,"422":479,"423":481,"424":482,"425":483,"426":484,"427":485,"428":486,"429":487,"430":488,"431":490,"432":491,"433":492,"434":493,"436":495,"437":496,"438":497,"439":499,"440":500,"441":501,"442":502,"443":503,"444":505,"445":506,"446":508,"448":511,"449":525,"450":535,"451":569,"452":576,"454":593,"455":598,"457":618,"458":621,"459":623,"462":654,"463":663,"464":666,"465":675,"466":677,"467":683,"468":684,"469":685,"470":693,"472":714,"473":716,"474":717,"475":719,"477":728,"479":768,"480":770,"481":780,"482":784,"484":798,"485":800,"486":801,"487":803,"488":815,"490":826,"491":828,"492":829,"493":831,"494":843,"495":846,"496":848,"497":853,"498":855,"499":860,"500":862,"501":864,"502":871,"503":878,"504":887,"505":894,"506":904,"507":907,"508":913,"510":931,"511":939,"512":943,"513":948,"514":963,"515":970,"516":975,"517":980,"518":984,"519":986,"520":1002,"521":1005,"522":1006,"524":1015},{"0":16,"1":34,"2":40,"3":41,"5":70,"6":75,"7":78,"9":117,"10":135,"12":141,"13":175,"15":181,"16":185,"17":187,"18":190,"19":192,"20":193,"21":196,"22":219,"23":225,"24":228,"25":231,"26":242,"27":261,"28":274,"29":279,"30":295,"32":314,"33":321,"34":335,"36":347,"37":352,"38":353,"39":355,"40":356,"41":376,"42":377,"43":384,"44":389,"45":394,"46":396,"47":401,"48":410,"49":439,"50":447,"51":469,"52":480,"53":489,"54":498,"55":507,"56":509,"57":517,"58":528,"59":531,"61":546,"63":549,"64":550,"66":554,"67":557,"68":561,"69":565,"70":573,"71":575,"72":584,"73":590,"75":595,"76":599,"77":603,"78":609,"79":622,"80":624,"81":627,"82":635,"83":645,"84":646,"85":652,"87":659,"88":664,"89":669,"91":695,"92":696,"93":703,"94":704,"95":709,"96":711,"97":718,"99":721,"100":724,"101":733,"102":737,"103":743,"104":750,"105":751,"106":754,"107":757,"108":764,"109":773,"110":775,"111":778,"112":781,"113":783,"114":786,"115":787,"116":788,"117":790,"118":794,"119":797,"120":799,"121":823,"123":835,"124":840,"125":849,"126":857,"127":861,"128":865,"129":866,"130":869,"131":872,"132":877,"133":879,"134":882,"135":888,"136":889,"137":890,"138":900,"140":920,"141":923,"142":928,"143":929,"144":937,"145":946,"146":949,"147":953,"148":956,"150":964,"151":973,"152":981,"153":990,"155":998,"156":1000,"159":1009,"160":1013},{"0":83,"1":99,"2":206,"3":341,"4":425,"5":504,"6":516,"7":519,"8":537,"10":579,"11":589,"12":602,"13":617,"14":628,"15":629,"16":641,"20":670,"21":672,"22":674,"23":680,"24":688,"29":734,"30":744,"31":746,"32":771,"33":779,"34":795,"35":811,"36":814,"37":818,"38":824,"40":830,"41":836,"42":837,"43":845,"44":847,"45":868,"46":873,"48":899,"49":905,"50":922,"51":927,"53":936,"54":952,"55":965,"56":971,"57":972,"58":987,"59":989,"60":996,"61":1004,"62":1018,"63":1020},{"0":513,"1":514,"3":539,"4":540,"5":542,"6":545,"7":555,"8":559,"9":570,"10":572,"11":596,"12":606,"14":614,"16":639,"17":650,"18":653,"19":665,"20":671,"21":676,"25":792,"26":822,"28":867,"29":891,"30":906,"31":915,"32":917,"33":919,"34":924,"35":930,"36":945,"38":961,"39":976},{"0":521,"1":522,"2":556,"3":562,"4":564,"5":613,"6":619,"8":689,"9":749,"11":772,"14":821,"15":841,"16":842,"18":881,"19":918,"20":935,"22":977,"23":985,"24":1010,"25":1021},{"1":600,"3":661,"5":697,"6":729,"8":765,"10":776,"11":812,"12":820,"13":839,"14":886,"15":902,"20":993,"21":999,"22":1019},{"0":530,"3":587,"5":631,"8":759,"10":777,"11":813,"12":832,"14":896,"18":942,"19":962},{"0":515,"1":518,"3":529,"4":552,"6":620,"7":667,"8":722,"10":756,"14":851,"16":1014},{"0":571,"6":740,"9":884,"13":921},{"0":526,"4":586,"9":748,"13":960},{"7":636},[],[],[],[],[],[],[],[],[],[],[]]