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