[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":6,"6":8,"7":9,"8":10,"9":13,"10":14,"12":19,"13":20,"14":22,"15":23,"16":25,"17":26,"18":27,"19":28,"20":29,"21":34,"22":35,"23":36,"24":37,"25":38,"26":39,"27":40,"28":41,"29":43,"30":44,"31":45,"32":47,"33":49,"34":51,"35":52,"36":53,"37":54,"38":55,"39":56,"40":57,"41":58,"42":59,"43":60,"44":61,"45":63,"46":64,"47":65,"48":66,"49":67,"50":69,"51":70,"52":71,"53":72,"54":73,"55":75,"56":76,"57":77,"58":78,"59":79,"60":80,"61":81,"62":82,"63":83,"64":85,"65":86,"66":87,"67":89,"68":90,"69":91,"70":92,"71":93,"73":96,"74":97,"75":98,"76":101,"77":102,"78":103,"79":106,"80":107,"81":109,"82":110,"83":112,"84":114,"85":115,"86":116,"87":117,"88":118,"89":119,"90":120,"91":121,"92":122,"93":123,"94":124,"95":125,"96":126,"97":129,"98":130,"99":131,"100":132,"101":133,"102":135,"103":136,"104":137,"105":138,"106":139,"107":140,"108":142,"109":143,"110":146,"111":148,"112":150,"113":151,"114":152,"115":153,"116":154,"117":156,"118":157,"119":158,"120":159,"121":160,"122":162,"123":165,"124":166,"125":168,"126":169,"127":176,"128":177,"129":179,"130":180,"131":181,"132":184,"133":185,"134":187,"135":188,"136":189,"137":192,"138":194,"139":195,"140":197,"141":198,"142":199,"143":200,"144":201,"145":202,"146":203,"147":204,"148":208,"149":209,"150":211,"151":212,"152":213,"153":215,"154":216,"155":217,"156":256,"157":257,"158":258,"159":259,"160":260,"161":261,"162":262,"163":263,"165":267,"166":269,"167":270,"168":271,"169":272,"170":273,"171":274,"172":276,"173":277,"174":278,"175":279,"177":281,"178":282,"179":283,"180":284,"181":287,"182":288,"183":290,"184":291,"185":293,"186":294,"187":295,"188":296,"189":297,"190":299,"191":300,"192":301,"193":302,"194":305,"195":306,"196":308,"197":309,"198":310,"199":315,"200":317,"201":319,"202":320,"203":321,"204":323,"205":325,"206":326,"207":329,"208":332,"210":334,"211":335,"212":336,"213":337,"214":338,"215":341,"216":343,"217":344,"218":345,"219":346,"220":347,"221":348,"222":350,"223":351,"224":354,"225":355,"226":356,"227":357,"228":359,"229":360,"230":361,"231":364,"232":366,"233":367,"234":371,"235":372,"236":373,"237":374,"238":375,"239":376,"240":377,"241":379,"242":380,"243":381,"244":383,"245":385,"246":386,"247":387,"248":388,"249":389,"250":390,"251":392,"252":394,"253":396,"254":397,"255":399,"256":400,"257":401,"258":403,"259":404,"260":405,"261":406,"262":407,"263":408,"264":409,"265":410,"266":411,"267":412,"268":413,"269":416,"270":417,"271":418,"272":419,"273":420,"274":421,"275":422,"276":423,"277":425,"278":426,"279":427,"280":428,"281":429,"282":430,"283":431,"284":432,"285":433,"286":434,"287":435,"288":437,"289":438,"290":439,"291":440,"292":442,"293":445,"294":446,"295":447,"296":448,"297":449,"298":450,"299":451,"300":452,"301":453,"302":457,"303":458,"304":459,"305":460,"306":462,"307":465,"308":467,"309":468,"310":469,"311":472,"312":476,"313":477,"314":513,"315":514,"316":515,"317":517,"318":519,"319":520,"320":525,"321":526,"322":527,"323":532,"324":540,"325":544,"326":546,"327":547,"328":549,"329":550,"330":552,"331":558,"332":561,"333":562,"334":563,"335":565,"336":566,"337":569,"338":571,"339":573,"340":574,"341":575,"342":576,"343":577,"344":579,"345":580,"346":582,"347":584,"348":585,"349":594,"350":595,"351":597,"352":599,"353":600,"354":605,"355":609,"356":611,"357":614,"358":616,"359":618,"360":619,"361":620,"362":621,"363":623,"364":626,"365":628,"366":629,"367":633,"368":634,"369":636,"370":637,"371":639,"372":640,"373":641,"374":642,"375":643,"376":648,"377":649,"378":653,"379":654,"380":655,"381":656,"382":662,"383":663,"384":666,"385":667,"386":669,"387":670,"388":673,"389":675,"390":676,"391":679,"392":683,"393":686,"394":690,"395":691,"396":693,"397":695,"398":698,"399":699,"400":700,"401":702,"402":704,"403":707,"404":708,"405":714,"406":715,"407":717,"408":718,"409":721,"410":724,"411":726,"412":729,"413":733,"414":736,"415":737,"416":738,"417":740,"418":743,"419":744,"420":745,"421":750,"422":752,"423":756,"424":757,"425":758,"426":759,"427":760,"428":761,"429":768,"430":770,"431":773,"432":774,"433":776,"434":782,"435":783,"436":786,"437":787,"438":788,"439":789,"440":790,"441":792,"442":793,"443":800,"444":803,"445":806,"446":808,"447":809,"448":812,"449":813,"450":814,"451":817,"452":818,"453":820,"454":821,"455":822,"456":824,"457":827,"458":833,"459":834,"460":835,"461":839,"462":840,"463":841,"464":848,"465":849,"466":851,"467":852,"468":853,"469":855,"470":856,"471":857,"472":863,"473":865,"474":867,"475":868,"476":869,"477":870,"478":872,"479":873,"480":874,"481":875,"482":876,"483":878,"484":879,"485":881,"486":882,"487":886,"488":888,"489":889,"490":891,"491":893,"492":896,"493":897,"494":902,"495":908,"496":909,"497":910,"498":913,"499":915,"500":918,"501":920,"502":922,"503":923,"504":927,"505":929,"506":930,"507":933,"508":935,"509":937,"510":942,"511":943,"512":950,"513":952,"514":953,"515":957,"516":960,"517":961,"518":966,"519":969,"520":970,"521":972,"522":975,"523":978,"524":981,"525":984,"526":987,"527":988,"528":989,"529":991,"530":996,"531":998,"532":1002,"533":1004,"534":1005,"535":1006,"536":1008,"537":1010,"538":1013,"539":1014,"540":1015,"541":1019,"542":1022},{"0":5,"1":11,"2":12,"3":15,"4":16,"5":18,"6":21,"7":24,"8":30,"9":31,"10":32,"11":33,"12":42,"13":46,"14":48,"15":50,"16":62,"17":68,"18":74,"19":84,"20":88,"21":99,"22":104,"23":105,"24":111,"25":113,"26":127,"27":128,"28":141,"29":144,"30":147,"31":149,"32":155,"33":161,"34":163,"35":164,"36":167,"37":170,"38":171,"39":172,"40":173,"41":174,"42":182,"43":183,"44":186,"45":190,"46":191,"47":193,"48":196,"49":205,"50":206,"51":207,"52":214,"53":218,"54":219,"55":220,"56":221,"57":223,"58":224,"59":225,"60":227,"61":228,"62":230,"63":233,"64":234,"65":237,"66":238,"67":239,"68":240,"69":243,"70":245,"71":247,"72":248,"74":252,"75":253,"76":255,"77":265,"78":266,"79":268,"80":275,"81":285,"82":289,"83":292,"84":298,"85":303,"86":304,"87":307,"88":311,"89":312,"90":314,"91":318,"92":322,"93":327,"94":328,"95":331,"96":339,"97":340,"98":342,"99":349,"100":352,"101":358,"102":362,"103":363,"104":365,"105":368,"106":369,"107":370,"108":378,"109":382,"110":384,"111":391,"112":393,"113":395,"114":398,"115":414,"116":415,"117":424,"118":436,"119":441,"120":443,"121":444,"122":455,"123":456,"124":461,"125":463,"126":466,"127":470,"128":471,"129":473,"130":475,"131":478,"132":479,"133":482,"134":483,"135":484,"136":486,"137":488,"138":491,"139":494,"140":501,"141":503,"143":505,"144":506,"145":507,"146":509,"147":511,"148":512,"149":516,"150":524,"151":528,"152":530,"153":531,"154":533,"155":535,"156":536,"157":537,"158":541,"159":542,"160":553,"161":554,"162":555,"163":559,"164":564,"165":567,"166":568,"167":572,"168":578,"169":583,"170":588,"171":590,"172":592,"173":593,"174":596,"175":598,"176":604,"177":606,"178":607,"179":608,"180":610,"181":612,"182":613,"183":615,"184":617,"185":622,"186":631,"187":632,"188":645,"189":650,"190":652,"191":657,"192":658,"193":661,"194":665,"195":671,"196":672,"197":674,"198":677,"199":678,"200":680,"201":681,"202":682,"203":687,"204":688,"205":689,"206":696,"207":697,"208":703,"209":706,"210":709,"211":712,"212":713,"213":716,"214":719,"215":720,"216":722,"217":727,"218":731,"219":732,"220":734,"221":742,"222":746,"223":748,"224":751,"225":753,"226":754,"227":755,"228":764,"229":765,"230":766,"231":772,"232":775,"233":777,"234":778,"235":779,"236":784,"237":791,"238":795,"239":796,"240":799,"241":801,"242":802,"243":805,"244":810,"245":815,"246":825,"247":829,"248":830,"249":836,"250":838,"251":843,"252":846,"253":847,"254":850,"255":854,"256":858,"257":860,"258":861,"259":862,"260":864,"261":866,"262":871,"263":877,"264":883,"265":884,"266":885,"267":887,"268":890,"269":894,"270":895,"271":900,"272":904,"273":905,"274":907,"275":914,"276":916,"277":919,"278":924,"279":925,"280":928,"281":931,"282":932,"283":934,"284":936,"285":939,"286":940,"287":941,"288":944,"289":947,"290":949,"291":951,"292":954,"293":956,"294":958,"295":959,"296":962,"297":968,"298":971,"299":974,"300":976,"301":980,"302":986,"303":992,"304":993,"305":995,"306":997,"307":999,"308":1000,"309":1001,"310":1009,"311":1017,"312":1020,"313":1021},[7,94,108,134,145,175,178,210,222,226,229,231,232,236,241,242,244,251,254,286,316,324,330,353,402,454,464,474,480,481,485,487,490,492,493,495,496,497,498,499,500,502,508,510,518,523,529,534,538,539,543,545,556,557,560,570,581,589,601,602,624,625,638,647,651,659,660,664,684,685,694,705,711,728,730,741,762,763,780,781,785,794,797,798,804,807,828,832,837,844,845,899,903,906,912,921,938,948,963,964,965,967,977,979,982,985,990,1003,1012,1018,1023],[100,235,246,250,313,489,521,548,630,635,668,701,723,725,747,811,826,831,842,898,911,946,1011],[551,587,644,692,749,771,819,926,945,955,973],[627,735,767,769,816,823,859,880],[586,591,901,917,983,994],[603,710,1016],[522,892,1007],[646,739]]