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