[{"0":0,"1":1,"3":5,"4":6,"7":9,"8":10,"10":12,"11":13,"13":16,"15":18,"16":19,"17":20,"19":22,"20":23,"21":24,"22":25,"23":26,"24":28,"25":29,"26":31,"28":33,"29":34,"31":36,"33":38,"34":39,"35":40,"36":41,"38":43,"39":44,"41":46,"42":47,"43":48,"44":49,"46":51,"47":52,"48":53,"49":54,"50":55,"52":57,"55":60,"56":61,"57":63,"58":64,"60":66,"61":67,"62":68,"64":70,"65":71,"66":72,"67":73,"68":74,"70":76,"73":79,"74":80,"78":84,"79":85,"80":86,"81":87,"82":88,"83":89,"84":91,"85":92,"86":93,"89":96,"90":97,"91":98,"92":99,"93":100,"94":101,"97":104,"99":106,"100":107,"101":108,"102":109,"103":110,"104":111,"105":112,"106":113,"107":114,"108":115,"109":116,"111":118,"112":119,"113":120,"114":121,"116":123,"117":124,"118":125,"119":126,"120":127,"121":128,"125":132,"126":133,"127":134,"128":136,"129":137,"131":139,"132":141,"135":144,"136":145,"137":146,"138":147,"140":150,"141":151,"142":152,"144":155,"147":158,"148":159,"149":160,"150":161,"152":163,"153":165,"155":167,"156":168,"157":169,"159":171,"162":175,"163":176,"164":177,"165":178,"166":179,"167":181,"171":186,"172":187,"173":188,"176":191,"178":193,"179":194,"180":195,"181":196,"184":199,"185":200,"186":201,"188":203,"189":204,"190":205,"192":207,"193":209,"194":210,"195":211,"197":213,"198":214,"199":215,"201":217,"202":218,"203":219,"204":220,"205":221,"206":222,"207":223,"208":224,"210":226,"211":227,"212":228,"214":230,"217":233,"218":234,"219":235,"220":236,"221":237,"222":238,"225":241,"226":242,"228":244,"230":246,"231":247,"232":248,"233":249,"234":250,"235":251,"236":252,"237":254,"238":255,"239":256,"240":257,"241":258,"242":259,"243":260,"246":263,"248":265,"249":266,"251":269,"253":271,"254":272,"255":273,"256":274,"257":275,"258":276,"259":277,"260":278,"262":281,"263":282,"264":283,"269":288,"270":289,"272":291,"273":292,"274":293,"275":294,"276":295,"277":296,"278":299,"279":300,"280":301,"282":303,"283":304,"287":308,"289":310,"290":312,"291":314,"292":315,"294":318,"295":320,"296":321,"297":322,"298":324,"299":325,"300":326,"302":328,"303":329,"304":330,"305":331,"309":335,"310":336,"311":338,"313":341,"316":345,"317":346,"318":347,"319":348,"321":350,"322":351,"323":352,"324":353,"325":354,"326":355,"327":356,"329":358,"330":359,"331":361,"332":362,"333":363,"334":364,"335":366,"336":367,"337":368,"338":369,"339":370,"340":371,"342":373,"343":374,"344":375,"345":376,"346":377,"347":378,"352":383,"354":385,"355":386,"356":387,"357":388,"359":390,"360":391,"361":392,"362":393,"364":395,"365":396,"366":397,"367":398,"368":399,"369":400,"370":402,"371":403,"374":406,"375":407,"376":408,"377":410,"380":414,"382":416,"383":417,"384":418,"385":421,"386":422,"388":424,"390":426,"391":427,"392":428,"393":429,"394":430,"396":432,"397":433,"398":434,"400":436,"401":437,"402":438,"403":439,"405":441,"406":442,"407":443,"408":444,"409":445,"410":446,"412":448,"413":449,"414":451,"415":452,"416":453,"417":454,"418":455,"419":456,"420":457,"421":458,"422":460,"423":461,"425":463,"426":464,"428":466,"430":468,"435":473,"436":474,"437":475,"438":476,"439":477,"440":478,"441":479,"442":480,"444":482,"445":483,"446":484,"447":485,"449":487,"450":488,"451":489,"452":490,"453":492,"454":493,"455":494,"456":495,"458":497,"459":498,"460":499,"461":500,"462":501,"463":502,"465":504,"466":505,"467":506,"468":507,"469":509,"470":510,"471":511,"472":512,"473":517,"474":518,"475":521,"476":525,"477":533,"478":536,"479":538,"480":540,"481":544,"482":545,"483":548,"484":551,"486":556,"489":569,"490":582,"491":584,"492":593,"493":595,"494":608,"495":609,"496":613,"497":616,"498":622,"499":626,"500":637,"502":645,"503":650,"504":651,"505":652,"507":660,"508":666,"509":670,"510":673,"511":674,"512":681,"513":686,"514":695,"515":700,"516":701,"517":704,"518":715,"521":754,"523":794,"524":795,"525":798,"526":800,"529":813,"530":814,"531":822,"532":823,"533":826,"534":827,"535":838,"536":842,"537":843,"538":846,"539":847,"540":854,"541":860,"542":861,"543":878,"544":880,"545":884,"546":888,"548":900,"549":908,"550":913,"551":919,"552":920,"553":921,"554":947,"555":953,"557":959,"558":965,"559":968,"560":971,"561":976,"563":985,"564":992,"565":993,"566":994,"567":997,"568":999,"569":1002,"570":1005,"572":1014},{"0":2,"2":15,"3":27,"4":30,"5":62,"6":90,"7":135,"10":153,"11":164,"12":173,"13":180,"14":183,"15":208,"16":253,"17":267,"18":280,"20":298,"22":313,"23":316,"24":319,"26":337,"27":339,"28":344,"29":360,"30":365,"31":401,"33":411,"34":419,"36":450,"38":491,"39":508,"40":513,"41":516,"42":522,"43":530,"44":531,"45":534,"46":539,"47":541,"51":581,"52":589,"54":605,"55":623,"56":624,"57":627,"58":628,"59":631,"61":639,"62":649,"63":654,"64":655,"65":657,"66":668,"67":669,"68":680,"69":683,"70":684,"71":694,"72":711,"73":718,"74":722,"75":735,"76":741,"77":743,"78":746,"79":753,"80":757,"81":758,"82":763,"83":766,"84":772,"86":776,"87":777,"88":784,"89":787,"90":790,"91":806,"92":809,"93":811,"94":824,"95":832,"96":835,"97":845,"98":852,"99":855,"100":856,"101":857,"102":863,"103":865,"104":868,"105":869,"106":870,"107":871,"108":873,"109":875,"110":876,"111":882,"112":899,"113":904,"114":924,"115":926,"117":929,"118":934,"119":941,"120":943,"121":944,"122":970,"123":975,"124":979,"125":981,"126":988,"127":991,"129":998,"130":1003,"131":1006,"132":1011,"134":1020,"135":1021},{"0":519,"1":526,"2":552,"3":554,"4":559,"7":575,"8":586,"9":588,"10":598,"12":610,"13":615,"14":619,"15":621,"17":630,"18":635,"19":641,"20":643,"21":656,"22":664,"23":685,"24":687,"25":692,"26":702,"27":705,"28":710,"29":713,"30":720,"31":727,"32":733,"33":761,"34":765,"35":770,"36":779,"37":782,"38":783,"39":785,"40":788,"41":807,"42":812,"43":818,"44":820,"45":825,"46":837,"47":858,"48":859,"49":877,"50":881,"51":883,"52":886,"53":895,"54":896,"55":922,"56":928,"57":933,"58":948,"59":963,"62":1000,"63":1004,"64":1009,"66":1016,"67":1018,"68":1019},{"1":528,"2":535,"3":563,"4":568,"5":577,"7":597,"8":600,"9":601,"11":653,"12":676,"13":688,"14":716,"15":719,"16":744,"17":756,"18":767,"19":771,"20":778,"23":799,"24":810,"25":816,"26":817,"27":821,"28":836,"29":840,"30":848,"31":850,"32":872,"33":874,"34":887,"36":916,"37":939,"38":951,"41":962,"42":974,"44":982,"45":987},{"0":520,"3":549,"4":564,"5":620,"6":691,"7":707,"8":717,"9":723,"10":725,"11":728,"12":729,"13":750,"14":751,"15":769,"16":839,"17":862,"18":897,"19":901,"20":907,"23":964,"24":966,"25":973},{"0":524,"2":587,"3":590,"4":612,"6":678,"7":697,"8":703,"9":708,"10":732,"11":742,"12":748,"13":773,"14":793,"15":833,"16":844,"17":866,"18":902,"21":938},{"1":604,"2":606,"3":633,"4":644,"6":667,"7":671,"8":689,"9":706,"10":737,"11":752,"12":775,"13":808,"14":851,"15":893,"16":910,"17":914,"18":983,"19":986,"20":1023},[515,527,532,547,557,592,726,734,804,830,834,867,879,885,909,923,925,937,942,949],{"0":543,"1":555,"2":562,"3":596,"4":602,"5":611,"6":614,"7":618,"8":634,"9":646,"10":679,"11":690,"12":805,"13":853,"14":905,"15":930,"18":1001},{"0":574,"1":594,"4":693,"5":760,"6":789,"7":802,"8":828,"9":864,"10":889,"11":931,"12":932,"13":954,"14":967,"15":969,"16":1007},[570,583,636,661,675,677,698,709,724,740,946,1013],{"1":607,"2":617,"3":632,"5":696,"6":712,"7":714,"8":736,"9":738,"10":764,"12":891,"13":894,"15":961},{"0":561,"3":903,"4":906,"6":978,"7":996,"8":1015},{"0":579,"2":665,"3":721,"4":747,"6":829,"7":841,"8":898,"10":915},{"1":739,"3":945},{"0":580,"2":781,"3":796,"4":989},{"2":849},[],[],[],[]]