[{"0":0,"2":3,"3":4,"4":5,"5":6,"7":9,"8":10,"11":14,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"19":23,"20":24,"23":27,"24":28,"25":29,"26":30,"27":31,"28":33,"29":34,"30":35,"31":36,"32":37,"33":39,"34":40,"35":41,"36":44,"38":47,"39":48,"40":49,"41":50,"43":53,"44":54,"45":55,"46":56,"48":58,"49":59,"51":62,"53":64,"54":65,"55":66,"56":67,"57":68,"59":70,"61":72,"62":73,"64":75,"65":76,"66":77,"67":78,"68":79,"69":80,"70":81,"72":84,"74":86,"75":87,"76":88,"77":89,"78":90,"79":92,"80":93,"81":95,"82":96,"83":97,"84":99,"85":100,"86":101,"87":102,"89":106,"90":107,"91":108,"92":109,"93":110,"94":111,"95":112,"96":114,"97":115,"98":117,"99":118,"100":119,"101":121,"102":122,"103":123,"105":125,"106":126,"107":127,"108":128,"109":130,"110":131,"111":132,"112":134,"113":137,"114":138,"115":139,"116":142,"118":144,"120":146,"121":147,"122":148,"123":149,"124":151,"125":153,"126":154,"127":156,"128":158,"129":159,"130":161,"131":163,"133":257,"134":258,"135":259,"136":260,"139":263,"142":266,"143":267,"144":268,"145":269,"147":271,"148":272,"149":273,"153":277,"155":280,"156":281,"157":282,"158":284,"159":285,"160":286,"162":289,"163":291,"164":292,"165":293,"166":295,"167":296,"168":297,"169":301,"170":303,"171":307,"172":308,"173":309,"175":311,"177":313,"178":316,"181":319,"182":320,"184":322,"186":324,"187":325,"189":327,"190":328,"191":329,"193":332,"194":333,"195":334,"196":335,"197":336,"198":337,"200":339,"201":340,"202":342,"203":343,"204":346,"205":347,"207":349,"208":350,"209":351,"210":353,"212":356,"213":357,"214":358,"216":362,"218":364,"219":365,"220":366,"221":367,"222":369,"223":370,"224":371,"225":372,"226":374,"227":375,"228":376,"230":378,"231":379,"232":381,"233":382,"234":383,"235":385,"236":386,"237":387,"239":389,"240":390,"241":391,"242":393,"243":394,"244":395,"245":397,"246":398,"247":399,"248":400,"249":403,"250":407,"251":410,"252":413,"253":415,"255":417,"256":418,"257":420,"258":512,"259":513,"261":518,"262":524,"263":525,"264":527,"265":530,"266":532,"267":541,"268":545,"269":548,"270":553,"271":554,"272":560,"273":567,"274":568,"275":570,"276":577,"277":583,"278":584,"279":587,"280":588,"281":597,"283":599,"284":600,"285":601,"286":604,"287":606,"288":608,"289":614,"290":631,"291":636,"292":643,"293":648,"294":649,"295":651,"296":658,"297":664,"298":672,"299":680,"300":685,"301":694,"302":696,"303":704,"304":705,"305":709,"306":722,"307":729,"308":734,"309":736,"310":739,"311":742,"313":756,"314":757,"315":758,"316":760,"317":765,"318":767,"319":768,"320":781,"321":787,"322":789,"323":790,"325":799,"326":805,"327":807,"328":811,"329":812,"330":822,"331":828,"332":829,"333":834,"334":835,"335":845,"336":850,"337":856,"338":858,"339":860,"340":862,"341":880,"342":881,"343":882,"344":888,"345":893,"346":896,"347":899,"348":902,"349":915,"350":920,"351":937,"352":938,"353":940,"354":944,"355":947,"356":953,"357":957,"358":960,"359":969,"360":971,"361":976,"362":978,"363":983,"364":994,"365":995,"366":998,"367":1000,"368":1004,"369":1015,"370":1016},{"0":1,"1":8,"2":12,"3":21,"4":32,"5":38,"6":42,"7":43,"8":45,"9":60,"10":82,"11":91,"12":94,"13":98,"14":105,"15":113,"16":116,"17":120,"18":129,"19":133,"20":135,"21":136,"22":140,"23":141,"24":150,"25":152,"26":155,"27":157,"28":160,"29":162,"30":164,"31":165,"32":168,"33":170,"34":171,"35":173,"36":174,"37":176,"38":178,"39":179,"40":180,"41":181,"46":186,"48":189,"50":192,"51":193,"52":194,"53":195,"54":198,"57":203,"58":204,"61":207,"64":210,"65":212,"66":213,"67":214,"68":215,"69":217,"70":218,"71":219,"72":220,"73":222,"74":227,"75":228,"76":229,"77":230,"78":231,"79":232,"80":234,"81":235,"82":236,"84":239,"85":240,"86":241,"87":242,"88":243,"89":244,"90":245,"91":246,"92":249,"93":250,"96":253,"99":283,"100":288,"101":294,"102":298,"103":299,"104":300,"105":302,"106":304,"107":305,"108":306,"109":314,"110":315,"111":331,"112":341,"113":344,"114":345,"115":355,"116":360,"117":361,"118":368,"119":373,"120":380,"121":384,"122":392,"123":396,"124":401,"125":402,"126":404,"127":405,"128":406,"129":408,"130":409,"131":411,"132":414,"133":419,"134":421,"135":422,"136":424,"137":426,"138":428,"139":430,"140":434,"141":435,"142":438,"143":439,"144":440,"145":442,"146":443,"147":444,"148":445,"150":447,"151":448,"152":449,"153":450,"154":451,"155":452,"158":456,"160":459,"161":460,"162":461,"163":462,"164":463,"165":464,"167":466,"168":467,"169":468,"170":470,"171":471,"172":472,"173":473,"174":475,"175":476,"176":478,"177":481,"178":482,"179":483,"180":484,"181":485,"182":486,"183":488,"184":489,"185":490,"186":491,"187":492,"188":493,"192":498,"193":499,"194":500,"195":501,"196":502,"197":503,"198":504,"199":505,"200":506,"201":508,"203":510,"204":511,"205":522,"206":529,"207":534,"208":540,"209":544,"210":547,"211":549,"212":550,"213":569,"214":574,"215":575,"216":576,"217":585,"218":591,"220":593,"221":594,"222":602,"223":613,"224":616,"225":619,"226":630,"227":640,"228":644,"229":652,"230":660,"231":665,"232":699,"233":700,"234":708,"235":712,"236":714,"237":717,"238":718,"239":723,"240":746,"241":750,"242":751,"243":755,"244":759,"245":766,"246":769,"247":772,"248":773,"249":779,"250":782,"251":783,"252":785,"253":792,"254":800,"255":803,"256":804,"257":826,"258":827,"259":837,"260":851,"261":855,"262":859,"263":861,"264":864,"265":866,"266":868,"267":869,"268":876,"269":877,"270":879,"271":883,"272":885,"273":887,"274":889,"275":894,"276":897,"277":903,"278":909,"280":916,"281":922,"282":923,"283":927,"284":936,"285":946,"286":954,"287":958,"288":964,"289":967,"290":975,"291":977,"292":979,"293":985,"294":987,"295":989,"296":999,"297":1001,"298":1009,"299":1010,"300":1018},{"0":51,"1":104,"2":166,"3":167,"4":169,"5":172,"6":175,"7":188,"8":191,"9":196,"10":197,"11":199,"12":211,"13":216,"14":221,"15":223,"16":224,"17":225,"18":226,"19":237,"20":247,"21":248,"22":255,"23":290,"24":352,"25":412,"26":423,"27":425,"28":427,"29":432,"30":433,"31":436,"32":437,"33":441,"34":453,"35":474,"36":477,"37":479,"38":487,"39":494,"40":507,"41":514,"42":515,"43":517,"44":526,"45":539,"46":551,"47":555,"48":571,"49":573,"50":580,"51":581,"52":582,"53":603,"54":612,"55":615,"57":622,"58":625,"59":626,"60":627,"61":634,"62":637,"63":659,"64":671,"65":674,"66":676,"67":678,"68":682,"69":686,"70":688,"71":689,"72":691,"73":693,"74":697,"75":703,"76":731,"78":738,"79":740,"80":741,"81":761,"82":775,"83":784,"84":786,"85":801,"86":806,"88":810,"90":819,"91":831,"92":842,"93":844,"94":853,"95":854,"96":875,"97":913,"98":914,"99":919,"100":948,"101":951,"102":955,"103":966,"104":981,"105":984,"106":993,"107":997,"108":1002,"109":1013,"110":1021,"111":1023},{"0":177,"1":201,"2":233,"3":429,"4":431,"5":458,"6":469,"7":480,"8":538,"9":559,"10":565,"11":566,"12":609,"13":650,"14":662,"15":669,"16":677,"17":683,"18":701,"19":727,"20":733,"21":747,"22":762,"23":796,"24":808,"25":833,"27":841,"28":904,"29":912,"30":917,"32":942,"34":965,"35":991,"36":1005,"37":1006},{"0":533,"1":535,"2":546,"3":556,"4":562,"5":589,"7":607,"8":661,"9":687,"10":695,"11":707,"12":721,"13":824,"14":890,"16":895,"17":910,"18":918,"19":925,"20":933,"22":992},{"1":542,"3":624,"4":690,"5":724,"6":778,"7":795,"8":815,"9":821,"10":867,"11":872,"12":892,"13":921,"14":939,"15":988},[531,561,572,595,726,802,849,865,906,928,932,941,961,980],[520,523,578,586,621,628,728,743,839,943,970,973,996,1012,1014],[519,558,579,590,638,663,668,698,732,753,754,830,863,873,900,930,972,982],[557,641,642,657,681,725,763,820,832,908,934,935,974],[521,635,639,653,715,720,774,777,791,816,825,843,905,924,959],[552,618,655,673,706,716,745,749,823,838,846,857,870,878,1003,1008,1020],[543,605,620,623,629,632,684,719,737,744,884,886,907,950,952,956,962],[563,654,656,692,711,730,798,847,848,874,901],[666,667,702,713,780,797,817,840,852,898],[528,537,611,645,647,670,710,770,788,794,931,986,1019],[564,752,764,771,814,929,990],[646,818,871,949],[633,679,776,945],[675],[1007]]