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