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