[{"0":0,"1":1,"2":2,"3":3,"5":5,"6":6,"7":7,"9":10,"10":12,"11":13,"12":14,"13":15,"14":16,"17":22,"18":23,"19":24,"20":26,"21":28,"22":30,"24":32,"25":33,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":42,"35":45,"36":46,"37":47,"38":48,"39":49,"40":51,"41":52,"42":53,"43":56,"44":57,"45":59,"46":60,"47":62,"48":63,"49":64,"50":65,"51":66,"52":68,"53":69,"54":70,"55":72,"56":73,"57":75,"58":77,"59":78,"60":79,"61":80,"62":82,"63":83,"64":85,"65":86,"66":87,"67":88,"68":89,"69":90,"70":91,"71":95,"72":96,"73":97,"74":99,"75":101,"76":102,"77":103,"78":104,"79":106,"81":108,"82":109,"83":112,"84":113,"85":114,"86":115,"88":117,"89":118,"91":120,"92":121,"93":122,"94":123,"95":124,"96":125,"97":126,"98":127,"99":128,"100":129,"101":130,"102":131,"103":132,"104":133,"105":135,"106":137,"107":138,"108":139,"109":140,"110":141,"111":142,"112":145,"113":146,"114":149,"115":150,"116":152,"117":153,"118":155,"119":158,"120":159,"121":160,"122":161,"123":162,"124":163,"125":164,"126":165,"127":168,"128":170,"129":171,"130":174,"131":175,"132":176,"133":177,"134":178,"135":179,"136":180,"137":181,"138":182,"139":186,"140":187,"141":190,"142":191,"143":193,"144":194,"145":195,"146":196,"147":197,"148":198,"149":199,"150":204,"151":205,"152":206,"153":207,"154":208,"155":209,"156":210,"157":211,"158":213,"159":214,"160":215,"161":217,"162":218,"163":220,"164":222,"165":223,"166":225,"167":227,"168":228,"169":229,"170":230,"171":231,"172":232,"173":233,"174":234,"175":236,"176":256,"177":257,"178":258,"179":259,"180":260,"181":261,"182":262,"183":263,"184":264,"185":266,"186":268,"187":269,"188":270,"189":271,"190":272,"191":273,"192":277,"193":278,"194":279,"195":281,"196":282,"197":283,"198":284,"199":285,"200":286,"201":287,"202":288,"203":289,"204":290,"205":291,"206":292,"207":293,"208":295,"210":297,"211":298,"212":299,"213":300,"214":301,"215":302,"216":303,"217":304,"219":306,"220":307,"221":308,"222":309,"223":310,"224":311,"225":312,"226":313,"227":316,"228":317,"229":318,"230":319,"231":320,"232":321,"233":323,"234":324,"235":325,"236":326,"237":327,"238":330,"239":331,"240":332,"241":333,"242":334,"243":335,"244":336,"245":337,"246":340,"248":342,"249":343,"250":344,"251":345,"252":346,"253":347,"254":348,"255":349,"256":350,"257":351,"258":353,"259":354,"260":355,"261":356,"263":358,"264":359,"265":361,"266":362,"267":363,"268":369,"269":370,"270":371,"271":372,"272":373,"273":375,"275":377,"276":378,"277":379,"278":381,"279":382,"280":383,"281":384,"282":385,"283":386,"284":387,"285":388,"286":389,"287":390,"288":391,"289":392,"291":395,"292":396,"293":399,"294":400,"295":403,"296":404,"297":405,"298":406,"299":407,"300":409,"301":411,"302":412,"303":415,"304":417,"305":418,"306":419,"307":421,"308":422,"309":423,"310":425,"311":427,"312":428,"313":429,"314":430,"315":431,"316":432,"317":433,"318":434,"319":435,"320":436,"321":437,"322":438,"323":440,"324":443,"325":444,"326":446,"327":447,"328":449,"329":450,"330":451,"331":452,"332":455,"333":457,"334":458,"335":459,"336":460,"337":461,"338":462,"339":463,"340":464,"341":465,"342":466,"343":467,"344":468,"345":469,"346":470,"347":471,"348":473,"349":474,"350":475,"351":476,"352":477,"353":479,"354":480,"355":481,"356":483,"357":484,"358":488,"359":489,"360":491,"361":492,"362":514,"363":515,"364":516,"365":517,"366":523,"367":526,"368":531,"369":534,"370":537,"371":548,"372":554,"373":559,"374":562,"375":564,"376":572,"377":573,"378":576,"379":578,"380":579,"381":580,"382":582,"383":584,"384":585,"385":586,"386":587,"387":589,"388":590,"389":596,"390":598,"391":604,"392":606,"393":607,"394":613,"395":614,"396":615,"397":627,"398":628,"399":631,"400":632,"401":636,"402":650,"403":652,"404":671,"405":677,"406":696,"407":697,"408":702,"409":703,"410":711,"411":717,"412":719,"413":723,"414":725,"415":727,"416":733,"417":737,"418":744,"419":747,"420":749,"421":752,"422":753,"423":756,"424":759,"425":763,"426":770,"427":774,"428":778,"429":780,"430":785,"431":787,"432":791,"433":796,"434":798,"435":809,"436":813,"437":817,"438":822,"439":824,"440":825,"441":830,"442":833,"443":834,"444":835,"445":837,"446":839,"447":840,"448":842,"449":844,"450":845,"451":849,"452":851,"453":856,"454":863,"455":867,"456":870,"457":873,"458":874,"459":875,"460":878,"461":881,"462":895,"463":898,"464":899,"465":900,"466":905,"467":912,"468":922,"469":923,"470":929,"471":934,"472":935,"473":943,"474":950,"475":954,"476":959,"477":961,"478":963,"479":968,"480":973,"481":975,"482":978,"483":979,"484":980,"485":983,"486":984,"487":986,"488":989,"489":990,"490":995,"491":998,"492":1001,"493":1002,"494":1010,"495":1017,"496":1019,"497":1023},[8,19,25,27,29,41,44,50,54,55,58,61,67,71,74,76,81,84,92,93,94,98,100,105,110,111,134,143,144,148,151,154,156,157,166,167,169,172,173,183,184,185,188,189,192,201,202,203,212,216,219,221,224,226,235,237,238,239,241,244,245,247,248,249,253,254,255,265,267,274,275,276,280,314,315,322,328,329,338,339,352,360,364,365,366,367,368,374,380,397,401,402,410,413,414,416,420,439,441,445,453,454,456,472,478,482,485,486,487,493,495,496,498,499,500,501,502,503,504,505,506,509,511,513,518,519,520,524,529,530,532,535,539,546,551,552,555,560,563,566,567,570,574,581,592,594,595,597,599,600,605,609,612,617,618,619,620,623,629,630,633,635,640,643,647,653,654,656,660,662,663,668,669,670,672,680,683,685,689,690,693,698,699,701,706,712,713,714,715,726,728,731,732,734,735,736,741,742,743,746,748,751,764,769,776,779,784,789,793,794,795,797,799,805,806,807,810,811,812,814,815,816,821,826,828,836,847,848,853,854,868,872,883,888,890,892,893,894,901,902,903,906,907,909,911,917,920,921,926,927,930,931,938,941,942,948,952,953,956,957,967,971,972,976,977,981,982,985,992,993,994,996,997,999,1011,1018],{"0":11,"1":20,"2":21,"3":136,"4":147,"5":200,"6":240,"7":242,"8":243,"9":246,"10":250,"11":252,"12":294,"13":394,"14":398,"15":408,"16":424,"17":426,"18":442,"19":448,"20":490,"21":494,"22":497,"23":508,"24":510,"25":512,"26":522,"27":528,"28":533,"29":538,"30":541,"31":542,"32":543,"33":544,"34":545,"35":547,"36":549,"37":550,"38":556,"39":558,"40":561,"41":571,"42":575,"43":577,"44":591,"45":593,"46":601,"47":602,"48":616,"49":621,"50":624,"51":625,"52":626,"53":634,"54":637,"55":639,"56":641,"57":642,"58":646,"59":648,"60":649,"61":651,"62":655,"63":657,"64":658,"65":661,"66":664,"67":666,"68":667,"69":673,"70":676,"71":681,"72":682,"73":687,"74":688,"75":691,"76":700,"77":708,"78":709,"79":718,"80":720,"81":729,"82":730,"83":739,"84":757,"85":760,"86":761,"87":777,"88":782,"89":783,"90":800,"91":801,"92":804,"93":808,"94":818,"95":820,"96":823,"97":827,"98":829,"99":838,"100":841,"101":852,"102":860,"103":861,"104":866,"105":869,"106":871,"107":876,"108":879,"109":880,"110":887,"111":896,"112":908,"113":928,"114":936,"116":946,"117":947,"118":955,"119":958,"120":960,"121":962,"122":966,"123":970,"124":991,"125":1000,"126":1003,"127":1008,"128":1009,"129":1012,"130":1013,"131":1014,"132":1015},{"0":251,"1":507,"2":536,"3":553,"4":557,"6":568,"7":603,"8":610,"9":622,"10":638,"11":645,"12":659,"13":686,"14":695,"15":704,"16":707,"17":710,"18":716,"19":722,"20":724,"21":750,"22":755,"23":758,"24":762,"25":766,"26":767,"27":771,"28":773,"30":790,"31":792,"32":802,"33":803,"34":819,"35":832,"36":855,"37":857,"38":858,"39":862,"40":864,"41":886,"42":889,"43":910,"44":913,"45":914,"46":915,"48":925,"49":932,"50":933,"52":949,"53":951,"54":969,"55":974,"56":987,"57":988,"58":1005,"59":1007},{"0":521,"1":569,"2":583,"3":588,"4":608,"5":611,"6":674,"7":675,"8":678,"9":684,"10":705,"11":721,"12":738,"13":765,"14":843,"15":846,"16":850,"17":859,"19":904,"20":939,"22":1006,"23":1016,"24":1020,"25":1021},{"0":527,"1":745,"2":768,"3":772,"5":831,"6":865,"7":924,"8":944,"9":964},{"2":884,"3":885,"5":918},[692,694],[525,540],[]]