[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":7,"8":8,"9":9,"10":10,"11":11,"12":12,"13":13,"14":14,"15":15,"16":18,"17":19,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":33,"30":34,"31":35,"32":36,"33":38,"34":39,"35":41,"36":42,"37":43,"38":44,"39":45,"40":46,"41":47,"42":48,"43":49,"44":50,"45":51,"46":52,"47":53,"49":56,"50":57,"51":58,"52":59,"53":60,"54":61,"55":62,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":71,"63":72,"64":73,"65":74,"66":75,"67":76,"68":77,"69":80,"70":81,"71":82,"72":83,"73":84,"74":85,"75":86,"76":87,"77":88,"78":89,"79":90,"80":91,"81":93,"82":95,"83":96,"84":98,"85":100,"86":101,"87":102,"88":103,"89":105,"90":106,"91":107,"92":108,"93":109,"94":110,"95":111,"96":113,"97":114,"98":115,"99":117,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":125,"108":126,"109":127,"110":128,"111":129,"112":130,"113":131,"114":132,"115":134,"116":135,"117":136,"118":138,"119":139,"120":140,"121":141,"122":142,"123":143,"124":144,"125":145,"126":146,"127":147,"128":148,"129":149,"130":150,"131":151,"132":152,"133":153,"134":154,"135":155,"136":156,"137":157,"138":158,"139":159,"140":160,"141":161,"143":164,"144":165,"145":166,"146":167,"147":168,"148":169,"149":171,"150":172,"151":173,"152":174,"153":175,"154":176,"155":177,"156":178,"157":181,"158":182,"159":183,"160":184,"161":185,"162":186,"163":187,"164":188,"165":189,"166":191,"167":193,"168":194,"169":196,"170":198,"171":199,"172":202,"173":204,"174":205,"175":206,"176":207,"177":208,"178":210,"179":211,"180":212,"181":213,"182":214,"183":215,"184":216,"185":217,"186":218,"187":219,"188":220,"189":221,"190":222,"191":223,"192":224,"193":225,"194":226,"195":227,"196":228,"197":229,"198":230,"199":231,"200":232,"201":233,"202":234,"203":235,"204":236,"205":238,"206":239,"207":240,"208":241,"209":243,"210":244,"211":245,"212":247,"213":251,"214":253,"215":255,"216":256,"217":257,"218":258,"220":260,"221":262,"222":263,"223":264,"224":265,"225":266,"226":267,"227":268,"228":269,"229":270,"230":271,"231":272,"232":274,"233":275,"234":276,"235":277,"236":278,"237":279,"238":280,"239":281,"240":282,"241":283,"242":284,"243":285,"244":286,"245":288,"246":289,"247":290,"248":291,"249":292,"250":293,"251":294,"252":295,"253":296,"254":297,"255":298,"256":299,"257":300,"258":301,"259":302,"260":303,"261":304,"262":305,"263":306,"264":307,"265":308,"266":309,"268":312,"269":313,"270":314,"271":315,"272":316,"273":317,"274":318,"275":319,"276":320,"277":321,"278":322,"280":324,"281":325,"282":326,"283":327,"284":328,"285":329,"286":330,"287":331,"288":332,"289":333,"290":334,"291":335,"292":337,"293":338,"294":339,"295":340,"296":342,"297":343,"298":344,"299":346,"300":347,"301":348,"302":349,"303":350,"304":351,"305":353,"306":356,"307":357,"308":358,"309":359,"310":360,"311":362,"312":363,"313":364,"314":365,"315":366,"316":368,"317":369,"318":370,"319":371,"320":372,"321":373,"322":374,"323":375,"324":376,"325":377,"326":378,"327":380,"328":381,"329":382,"330":383,"331":384,"332":386,"333":387,"334":388,"335":390,"336":391,"337":392,"338":393,"339":394,"340":395,"341":396,"342":397,"343":398,"344":399,"345":400,"346":401,"347":402,"348":403,"349":405,"350":406,"351":407,"352":408,"353":409,"354":410,"355":411,"356":412,"357":413,"358":414,"359":415,"360":416,"361":417,"362":418,"363":419,"364":420,"365":421,"366":422,"367":423,"368":424,"369":425,"370":426,"371":427,"372":428,"373":429,"374":431,"375":432,"376":433,"377":434,"378":437,"379":438,"380":439,"381":440,"382":442,"383":443,"384":447,"385":448,"386":449,"387":450,"388":451,"389":452,"390":453,"391":455,"392":456,"393":458,"394":459,"395":461,"396":462,"397":464,"398":466,"399":467,"400":468,"401":469,"402":470,"403":471,"404":473,"405":474,"406":475,"407":476,"408":477,"409":478,"410":479,"411":480,"412":481,"413":483,"414":486,"415":487,"416":488,"417":489,"418":490,"419":491,"420":493,"421":494,"422":495,"423":496,"424":498,"425":499,"426":500,"427":501,"428":502,"429":503,"430":504,"431":505,"432":506,"433":507,"434":508,"435":509,"436":510,"437":511,"438":512,"439":513,"440":514,"441":516,"442":517,"443":518,"444":521,"445":525,"446":526,"447":527,"448":529,"449":532,"450":534,"451":537,"452":538,"453":542,"454":544,"455":545,"456":546,"457":558,"458":575,"459":577,"460":581,"461":583,"462":589,"463":590,"464":591,"465":594,"466":599,"467":601,"468":604,"469":608,"470":609,"471":612,"472":614,"473":617,"474":624,"475":628,"476":631,"477":634,"478":637,"479":642,"480":646,"481":647,"482":649,"483":650,"484":655,"485":658,"486":659,"487":661,"488":662,"489":665,"490":666,"491":670,"492":679,"493":682,"494":690,"495":692,"496":694,"497":698,"498":700,"499":714,"500":716,"501":720,"502":723,"503":724,"504":725,"505":730,"506":732,"507":735,"508":736,"509":741,"510":743,"511":744,"512":746,"513":749,"514":751,"515":752,"516":755,"517":762,"518":764,"519":767,"520":768,"521":769,"522":770,"523":771,"524":772,"525":774,"526":775,"527":778,"528":780,"529":781,"530":785,"531":794,"532":798,"533":804,"534":805,"535":806,"536":808,"537":810,"538":812,"539":813,"540":814,"541":815,"542":818,"543":819,"544":827,"545":830,"546":831,"547":832,"548":833,"549":835,"550":838,"551":839,"552":845,"553":846,"554":848,"555":850,"556":851,"557":854,"558":856,"559":860,"560":861,"561":863,"562":865,"563":866,"564":869,"565":870,"566":874,"567":875,"568":879,"569":881,"570":883,"571":884,"572":885,"573":888,"574":889,"575":893,"576":902,"577":903,"578":907,"579":910,"580":912,"581":919,"582":923,"583":925,"584":927,"585":928,"586":931,"587":934,"588":937,"589":939,"590":941,"591":942,"592":943,"593":945,"594":946,"595":954,"596":960,"597":964,"598":965,"599":967,"600":970,"601":971,"602":972,"603":976,"604":977,"605":978,"606":979,"607":981,"608":987,"609":988,"610":995,"611":996,"612":999,"613":1003,"614":1008,"615":1009,"616":1010,"617":1011,"618":1017,"619":1022,"620":1023},[16,17,20,32,37,40,63,64,78,79,92,94,99,104,112,116,133,137,163,170,179,180,190,192,195,197,200,201,203,209,242,248,249,250,252,254,261,273,287,311,336,341,345,352,354,355,361,367,385,389,404,430,435,436,441,444,445,446,454,457,460,465,472,484,485,492,497,515,530,531,535,539,547,548,550,552,556,560,563,564,565,566,567,568,576,584,592,596,605,606,611,619,621,623,626,627,633,639,641,652,657,660,669,672,674,675,680,681,685,695,696,701,703,709,713,721,722,726,729,739,740,748,758,759,763,766,776,779,782,784,788,789,792,793,796,799,801,802,816,824,825,828,829,836,840,841,847,857,859,867,868,871,872,876,878,882,886,891,894,895,896,900,904,905,908,911,913,918,920,921,926,930,933,938,940,950,951,956,959,966,968,969,986,989,1001,1002,1004,1006,1007,1013,1018,1021],{"0":55,"1":97,"2":237,"3":246,"4":379,"5":463,"6":482,"7":519,"8":523,"9":528,"10":543,"11":553,"12":555,"13":561,"14":569,"15":574,"16":586,"17":587,"18":600,"19":615,"20":618,"21":625,"22":638,"23":644,"24":664,"25":667,"26":677,"27":686,"28":689,"29":699,"30":704,"31":706,"32":710,"34":757,"35":765,"36":783,"38":809,"39":826,"40":834,"41":843,"42":844,"43":873,"44":901,"45":922,"46":924,"47":936,"48":944,"49":947,"50":955,"51":962,"52":973,"53":991,"54":1014},{"0":520,"1":533,"2":536,"3":551,"4":557,"5":562,"6":579,"7":598,"8":613,"9":630,"10":648,"11":653,"12":654,"13":678,"14":688,"15":718,"16":731,"17":753,"18":800,"19":807,"20":811,"21":948,"22":983,"23":984,"24":994,"26":1012,"27":1019},{"0":522,"1":582,"2":602,"3":622,"4":629,"5":640,"6":651,"7":717,"8":719,"9":733,"10":734,"11":756,"12":852,"14":897,"15":929,"16":1016},[554,588,616,663,676,683,693,708,737,786,787,795,797,820,849,890,892,898,914,980,997,1005],[559,580,597,636,742,747,750,790,862,877,916,961,963],{"0":571,"1":607,"2":635,"3":668,"4":684,"5":697,"6":707,"7":728,"9":745,"10":803,"11":842,"12":855,"13":917,"14":990,"15":992},{"0":540,"1":541,"2":573,"3":632,"4":691,"5":702,"6":727,"8":773,"9":822,"10":837,"11":858,"12":864,"13":909,"14":958,"15":974},[549,595,603,610,687,754,823,1015],[524,570,572,585,817,880,906],[620,645,777,821,915,932,975,985,998],[578,643,673,705,712,715,853,935,957],[671,761,952,953,982,993],[593,656,899],[]]