[{"0":1,"1":2,"3":4,"4":5,"5":6,"7":8,"8":9,"10":11,"12":13,"15":17,"16":18,"17":19,"19":21,"21":23,"22":24,"23":25,"24":27,"25":28,"28":31,"29":33,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"40":45,"41":46,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":55,"50":56,"51":57,"53":59,"54":60,"56":62,"57":63,"58":65,"59":66,"60":67,"61":68,"62":69,"64":71,"65":72,"66":73,"67":74,"69":76,"70":77,"71":78,"74":81,"76":84,"77":85,"78":86,"79":87,"80":88,"82":91,"83":92,"84":93,"85":94,"86":95,"87":96,"88":97,"89":98,"90":99,"91":100,"92":101,"95":106,"96":107,"97":108,"98":109,"99":110,"100":111,"101":112,"102":113,"104":115,"105":117,"106":118,"108":120,"109":121,"110":122,"111":123,"112":124,"113":125,"115":128,"116":129,"118":132,"120":134,"121":135,"125":140,"126":141,"130":146,"133":150,"134":151,"135":152,"138":155,"139":156,"140":157,"142":161,"143":162,"146":165,"147":168,"151":172,"152":173,"153":174,"154":175,"155":176,"157":178,"158":179,"159":180,"160":181,"161":182,"162":183,"163":184,"164":185,"165":186,"166":187,"167":188,"168":189,"169":190,"170":192,"172":194,"174":196,"175":197,"178":200,"180":202,"182":204,"183":205,"184":206,"186":208,"187":209,"189":211,"190":212,"191":213,"192":214,"193":215,"194":216,"196":218,"197":219,"198":220,"199":221,"200":222,"201":223,"202":224,"206":230,"207":231,"208":232,"209":233,"210":234,"216":241,"218":244,"221":247,"222":248,"224":252,"225":253,"226":254,"227":255,"228":256,"229":257,"231":260,"232":262,"233":263,"234":264,"235":266,"237":268,"238":269,"240":271,"241":272,"243":274,"245":276,"247":278,"248":279,"249":280,"251":282,"255":286,"256":287,"257":288,"259":290,"261":292,"262":293,"263":294,"264":295,"266":297,"271":304,"272":305,"274":307,"276":309,"277":310,"278":311,"283":316,"284":317,"285":319,"286":320,"287":322,"288":323,"289":325,"290":327,"293":330,"294":331,"295":332,"297":334,"298":336,"299":337,"300":338,"301":341,"302":342,"303":343,"304":344,"307":348,"309":350,"311":352,"315":356,"317":358,"322":365,"323":366,"324":367,"326":370,"327":371,"328":372,"329":374,"330":375,"331":376,"332":377,"334":379,"335":381,"336":382,"337":383,"339":385,"340":386,"341":387,"343":389,"344":390,"345":391,"346":392,"348":394,"349":395,"351":398,"352":399,"353":400,"355":402,"357":404,"359":406,"362":409,"363":410,"364":411,"367":414,"370":417,"371":418,"373":420,"374":421,"375":422,"380":427,"381":428,"382":429,"383":430,"384":431,"386":433,"390":437,"391":438,"392":439,"393":440,"394":441,"395":442,"397":444,"400":447,"401":448,"403":452,"404":453,"405":454,"406":455,"407":456,"408":457,"409":459,"410":460,"412":462,"414":464,"415":465,"416":466,"420":470,"421":471,"424":475,"425":476,"430":481,"431":482,"432":484,"433":485,"434":486,"435":487,"436":488,"437":490,"439":492,"441":494,"442":495,"443":497,"444":498,"445":499,"447":501,"448":502,"449":503,"450":504,"451":506,"453":508,"456":511,"457":522,"459":546,"463":558,"465":560,"467":564,"468":577,"472":588,"474":590,"482":635,"483":641,"484":651,"489":688,"491":692,"492":698,"493":701,"495":709,"496":712,"497":714,"498":715,"499":718,"501":725,"502":730,"503":733,"505":736,"506":741,"507":742,"509":752,"510":757,"511":762,"513":767,"515":786,"516":793,"517":794,"520":805,"522":816,"523":826,"526":843,"527":845,"528":846,"531":863,"532":867,"533":874,"534":875,"535":881,"536":891,"537":892,"538":897,"539":901,"540":906,"541":911,"542":915,"544":928,"547":953,"549":957,"550":960,"551":982,"552":984,"556":1009,"557":1013,"560":1021},{"0":0,"1":16,"3":32,"4":43,"5":54,"7":83,"9":102,"10":103,"11":116,"13":139,"15":147,"16":158,"17":160,"18":166,"19":167,"23":235,"24":243,"25":250,"26":258,"27":261,"28":265,"29":301,"30":303,"31":318,"32":321,"34":326,"36":340,"37":345,"38":363,"40":368,"41":373,"43":397,"44":449,"45":451,"46":458,"47":472,"52":516,"53":520,"54":524,"55":537,"56":539,"57":542,"58":543,"64":583,"65":591,"66":594,"68":600,"70":603,"71":611,"73":630,"74":636,"75":638,"76":639,"78":654,"79":655,"80":661,"81":662,"84":670,"85":681,"86":682,"87":683,"89":695,"90":696,"91":699,"92":704,"93":706,"95":726,"96":727,"97":728,"98":729,"99":731,"102":745,"105":764,"106":768,"108":777,"109":778,"110":783,"112":804,"114":808,"115":809,"118":831,"119":837,"120":851,"121":853,"122":855,"123":856,"124":859,"125":861,"126":873,"127":878,"128":879,"129":883,"131":889,"132":890,"133":893,"135":896,"136":900,"137":902,"138":908,"139":909,"140":912,"145":940,"146":942,"147":945,"148":948,"149":958,"150":968,"151":969,"152":973,"153":974,"154":976,"155":983,"156":986,"157":1005,"159":1015,"160":1023},{"2":339,"3":512,"4":513,"5":514,"6":517,"7":518,"8":529,"9":531,"10":534,"11":540,"12":541,"13":549,"16":570,"18":595,"19":597,"21":621,"22":647,"23":652,"24":656,"25":660,"26":665,"27":666,"28":668,"29":719,"30":749,"33":791,"34":797,"35":799,"36":802,"39":836,"40":876,"43":932,"44":950,"45":959,"46":975,"48":990,"49":994,"50":998,"51":1007},{"0":557,"1":575,"2":580,"3":604,"5":628,"6":640,"7":642,"8":649,"11":685,"12":687,"13":705,"15":759,"16":760,"18":785,"20":815,"21":818,"22":838,"23":844,"25":865,"27":872,"28":898,"30":919,"31":927,"32":938,"33":949,"34":964,"35":989,"36":996,"37":1011,"38":1012},[519,521,525,536,545,586,592,615,619,748,754,755,795,825,848,860,870,923,954,978,1002],{"0":523,"1":528,"2":548,"3":571,"4":573,"5":634,"6":645,"7":646,"8":690,"9":710,"10":717,"11":734,"12":770,"13":775,"14":779,"15":823,"16":841,"17":894,"18":913,"20":931,"22":962,"23":981,"24":1004,"25":1006},{"0":530,"1":565,"2":587,"4":625,"6":676,"7":694,"8":697,"9":723,"10":789,"11":813,"12":819,"13":858,"14":884,"15":904,"16":905,"17":924,"18":972,"19":1022},{"0":515,"1":563,"2":593,"3":609,"4":620,"5":632,"6":648,"7":650,"8":716,"9":737,"10":738,"11":835,"12":842,"14":899,"15":910,"16":955,"17":1020},{"0":527,"1":554,"2":561,"4":637,"7":702,"8":713,"9":765,"10":772,"11":780,"12":817,"13":854,"14":864,"15":869,"16":929,"17":935,"18":971},[551,606,643,664,671,812,833,840,850,868,882,885,966,967,992],[532,612,624,711,756,773,811,822,824,888,916,918,961,965,979,993,999,1003],[526,616,658,691,739,769,800,820,857,933,952,995],[547,555,746,747,753,771,781,787,821,920,947,970,1010],[535,544,599,618,721,724,798,801,963],[614,751,943,977,1017],[581,623,674,944,1016],[827,880],[610,644,678,758,926,1018],{"0":693,"1":720,"2":839,"4":980},[533,596,669,917,997],[582,657,703],[814,887,951,1000],[626,866,988],[],[]]