[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":6,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":19,"19":20,"20":21,"22":23,"23":24,"25":26,"26":27,"27":28,"28":29,"29":30,"30":31,"31":32,"33":34,"34":35,"35":36,"36":37,"37":38,"38":39,"39":40,"40":41,"41":43,"42":44,"43":45,"44":46,"45":47,"46":48,"47":49,"48":50,"49":51,"51":53,"52":54,"53":55,"54":56,"55":57,"56":58,"57":59,"58":60,"59":61,"60":62,"61":63,"62":64,"63":65,"64":66,"65":67,"66":68,"67":69,"68":70,"69":71,"70":72,"71":73,"72":74,"74":77,"75":78,"76":79,"77":80,"78":81,"79":82,"80":83,"81":84,"82":85,"83":86,"84":87,"85":88,"86":89,"87":90,"88":91,"89":92,"90":93,"91":94,"92":95,"93":96,"94":97,"95":98,"96":99,"97":100,"98":101,"99":102,"100":105,"101":106,"102":108,"103":109,"104":110,"105":111,"106":112,"107":113,"108":114,"109":115,"110":116,"111":117,"112":118,"115":121,"116":122,"117":124,"118":125,"119":126,"120":127,"121":128,"122":129,"123":130,"124":131,"125":132,"126":133,"127":134,"128":135,"129":136,"130":137,"131":138,"132":139,"133":141,"135":143,"136":144,"137":145,"138":146,"139":147,"140":148,"141":149,"142":150,"143":151,"144":152,"145":153,"146":154,"147":155,"148":156,"149":157,"150":158,"151":159,"152":160,"153":161,"154":162,"155":163,"156":164,"157":165,"158":166,"159":167,"160":168,"161":169,"162":170,"163":171,"164":172,"165":173,"166":174,"167":175,"168":176,"169":177,"170":179,"171":180,"172":181,"173":182,"174":183,"175":184,"176":186,"178":190,"179":192,"180":193,"181":194,"182":195,"183":196,"185":199,"186":200,"187":201,"188":202,"189":203,"190":204,"191":205,"192":206,"193":207,"194":209,"195":210,"196":211,"197":212,"198":213,"199":214,"200":215,"201":216,"202":217,"203":218,"204":219,"205":220,"206":221,"207":222,"208":223,"209":224,"210":225,"211":226,"212":227,"213":228,"214":229,"215":230,"216":231,"217":232,"218":233,"219":234,"220":235,"221":236,"222":238,"223":239,"224":241,"225":242,"226":243,"227":244,"228":245,"229":246,"230":247,"231":248,"232":250,"233":251,"234":252,"235":253,"236":254,"237":255,"238":256,"239":257,"240":258,"241":259,"242":260,"243":261,"244":262,"245":263,"246":264,"247":265,"248":266,"249":268,"250":269,"251":270,"252":271,"253":272,"254":273,"255":275,"256":276,"257":277,"259":280,"260":282,"261":283,"262":284,"263":285,"264":286,"265":287,"266":288,"267":289,"268":290,"269":291,"270":292,"271":293,"272":294,"273":295,"274":296,"275":297,"276":298,"277":300,"278":301,"279":302,"280":303,"281":304,"282":305,"284":307,"285":310,"287":312,"288":313,"289":314,"290":315,"291":316,"292":317,"293":318,"295":320,"296":321,"297":322,"298":323,"299":324,"300":325,"301":326,"302":328,"305":333,"306":334,"307":335,"308":336,"309":337,"310":338,"311":339,"312":340,"313":341,"314":342,"315":343,"316":344,"317":345,"318":346,"319":347,"320":348,"321":349,"322":351,"323":352,"324":353,"325":354,"326":355,"327":356,"328":357,"329":358,"330":359,"331":360,"332":361,"333":362,"334":364,"335":365,"336":367,"337":369,"338":370,"339":371,"340":372,"341":373,"342":374,"343":376,"344":377,"345":378,"346":379,"347":380,"348":381,"349":383,"350":384,"351":385,"352":387,"353":389,"354":390,"355":391,"356":392,"358":394,"359":395,"360":397,"361":398,"362":399,"363":400,"364":401,"365":402,"366":403,"367":404,"368":405,"369":406,"370":407,"371":408,"372":409,"373":410,"374":411,"375":412,"376":413,"377":414,"378":415,"379":416,"380":417,"381":418,"382":419,"383":420,"384":421,"385":422,"386":423,"387":424,"388":425,"389":426,"390":427,"391":428,"392":430,"393":431,"394":432,"395":433,"396":434,"397":435,"398":436,"399":437,"400":438,"401":439,"402":440,"403":442,"404":443,"405":444,"406":445,"407":446,"408":447,"409":448,"410":449,"411":450,"412":451,"413":452,"414":453,"415":454,"416":455,"417":456,"418":457,"419":458,"420":459,"421":460,"422":461,"423":463,"424":465,"425":466,"426":467,"427":468,"428":469,"430":471,"431":472,"432":473,"433":475,"434":476,"435":477,"436":478,"437":479,"438":480,"439":481,"440":482,"441":483,"442":484,"443":485,"444":486,"445":488,"446":489,"447":490,"448":491,"449":492,"450":493,"451":494,"452":496,"453":497,"454":498,"455":499,"456":500,"457":501,"458":502,"459":503,"460":504,"461":505,"462":506,"463":507,"464":508,"465":509,"466":510,"467":511,"468":513,"469":516,"470":518,"471":522,"472":524,"473":529,"474":540,"475":544,"476":546,"477":547,"478":548,"479":550,"480":552,"481":559,"482":563,"483":569,"484":571,"485":578,"486":579,"487":585,"488":587,"489":596,"490":597,"491":602,"492":614,"493":615,"494":617,"495":620,"496":621,"497":628,"498":630,"499":631,"500":637,"501":638,"502":639,"503":644,"504":646,"505":648,"506":649,"507":651,"508":653,"509":657,"510":659,"511":662,"512":668,"513":674,"514":675,"515":676,"516":677,"517":678,"518":683,"519":686,"520":691,"521":698,"522":699,"523":703,"524":705,"525":709,"526":715,"527":716,"528":720,"529":721,"530":722,"531":724,"532":726,"533":734,"534":735,"535":747,"536":751,"537":758,"538":761,"539":763,"540":765,"541":768,"542":771,"543":775,"544":776,"545":783,"546":784,"547":790,"548":793,"549":802,"550":804,"551":807,"552":810,"553":815,"554":817,"555":820,"556":824,"557":825,"558":827,"559":828,"560":830,"561":835,"562":837,"563":838,"564":847,"565":854,"566":856,"567":857,"568":863,"569":865,"570":870,"571":871,"572":874,"573":879,"574":881,"575":883,"576":888,"577":894,"578":895,"579":897,"580":899,"581":903,"582":916,"583":921,"584":922,"585":925,"586":927,"587":933,"588":936,"589":937,"590":940,"591":941,"592":955,"593":966,"594":967,"595":971,"596":973,"597":978,"598":979,"599":980,"600":982,"601":983,"602":984,"603":986,"604":987,"605":991,"606":992,"607":999,"608":1003,"609":1005,"610":1007,"611":1008,"612":1018,"613":1021},[4,42,75,103,104,107,123,140,178,185,187,189,191,197,208,237,240,249,267,274,279,281,299,308,309,327,330,332,350,363,366,368,375,382,386,388,396,441,462,464,474,487,495,512,515,517,521,535,536,545,549,560,561,562,564,566,567,570,572,575,580,584,586,588,593,600,601,611,616,618,619,624,634,635,640,650,654,658,660,666,669,670,671,672,673,685,689,693,702,706,711,717,718,727,731,732,736,738,746,748,749,750,759,762,770,778,781,788,797,799,805,819,822,826,841,843,845,846,848,851,861,866,872,875,880,882,886,887,889,891,893,900,902,905,907,909,910,912,915,920,924,926,930,932,938,939,945,946,947,956,959,961,962,965,969,972,974,975,976,977,989,996,997,1002,1004,1010,1013,1016,1017],[429,514,523,531,532,538,543,554,557,565,581,583,591,594,603,607,608,609,613,622,623,625,641,643,655,665,681,684,694,696,700,707,710,712,713,714,723,743,744,755,764,769,773,780,786,789,792,806,812,813,818,821,834,840,849,850,852,853,858,859,873,877,890,906,908,913,919,935,948,952,957,960,968,970,981,993,1000,1020],{"0":520,"1":526,"2":530,"3":539,"4":553,"5":555,"6":577,"7":589,"8":598,"9":599,"10":604,"11":605,"12":606,"13":612,"14":632,"15":636,"16":642,"17":656,"18":667,"19":682,"20":687,"21":690,"22":701,"23":704,"24":708,"25":729,"26":739,"27":742,"28":756,"29":757,"30":766,"31":767,"32":777,"33":779,"34":796,"35":798,"36":800,"37":801,"38":803,"39":831,"40":833,"41":839,"43":860,"44":864,"45":869,"46":892,"47":896,"48":898,"49":911,"50":917,"51":931,"52":934,"53":949,"54":951,"55":953,"56":964,"57":985,"58":995,"59":1009,"60":1011,"62":1022,"63":1023},{"1":527,"2":528,"3":534,"4":541,"5":542,"6":558,"7":582,"8":592,"9":629,"10":652,"11":661,"12":663,"13":679,"14":688,"15":697,"16":730,"17":741,"18":745,"19":754,"20":774,"22":794,"24":809,"25":811,"27":836,"28":867,"29":904,"30":923,"31":928,"32":929,"34":950,"35":954,"36":958,"37":998,"38":1006,"39":1012,"40":1014},{"0":533,"1":576,"2":595,"3":610,"4":626,"6":645,"7":647,"8":680,"9":692,"10":725,"11":728,"12":753,"13":760,"15":795,"16":816,"17":823,"19":868,"20":876,"21":878,"22":914,"23":944,"24":963,"25":988,"26":1019},{"0":537,"3":627,"4":719,"5":737,"6":740,"7":752,"8":782,"9":785,"10":791,"11":814,"12":885,"13":901,"14":918,"15":990},{"2":695,"3":733,"6":994,"7":1001},{"1":574},[],[],[]]