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