[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":7,"7":8,"8":9,"9":10,"10":11,"11":12,"12":13,"13":14,"14":15,"15":16,"16":17,"17":18,"18":20,"19":21,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":31,"29":32,"30":33,"31":34,"32":35,"33":36,"34":37,"35":38,"36":39,"37":40,"38":42,"39":43,"40":44,"41":45,"42":46,"43":47,"44":48,"45":49,"46":50,"47":51,"48":52,"49":53,"50":55,"51":57,"52":58,"53":60,"54":61,"55":62,"56":63,"57":65,"58":66,"59":67,"60":69,"61":70,"62":71,"63":72,"64":73,"65":75,"67":77,"68":78,"69":80,"70":81,"71":82,"72":83,"73":84,"74":86,"75":88,"76":89,"77":90,"78":91,"79":92,"80":93,"81":96,"82":97,"83":98,"84":99,"85":100,"86":101,"87":102,"88":104,"89":105,"90":106,"91":107,"92":108,"93":109,"94":111,"95":112,"96":113,"97":115,"98":116,"99":117,"100":118,"101":119,"102":120,"103":121,"104":122,"105":123,"106":124,"107":125,"108":126,"109":128,"110":129,"111":130,"112":131,"113":133,"114":134,"115":135,"116":136,"117":137,"118":138,"119":139,"120":140,"122":142,"123":143,"124":144,"125":146,"126":147,"127":148,"128":149,"129":150,"130":151,"131":152,"132":153,"133":154,"134":156,"135":157,"136":158,"137":159,"138":160,"139":161,"140":162,"141":163,"142":164,"143":166,"144":167,"145":168,"146":169,"147":170,"148":172,"149":173,"150":174,"151":175,"152":177,"153":178,"154":180,"155":182,"156":183,"157":184,"158":185,"159":186,"160":187,"161":189,"162":190,"163":192,"164":193,"165":194,"166":195,"167":196,"168":197,"169":198,"170":199,"171":200,"172":201,"173":202,"174":203,"175":204,"176":205,"177":206,"178":207,"179":208,"180":210,"181":211,"182":212,"183":213,"184":214,"185":215,"186":217,"187":220,"188":221,"189":222,"190":223,"191":224,"192":226,"193":227,"194":228,"195":229,"196":230,"197":231,"198":233,"199":234,"200":235,"201":236,"202":237,"203":238,"204":239,"205":240,"206":241,"207":242,"208":243,"209":244,"210":245,"211":246,"212":247,"213":249,"214":251,"215":252,"216":254,"217":255,"218":256,"219":257,"220":258,"221":259,"222":260,"223":261,"224":262,"225":263,"226":264,"227":265,"228":266,"229":267,"230":268,"231":270,"232":271,"233":272,"234":273,"235":275,"236":276,"237":277,"238":279,"239":280,"240":281,"241":282,"242":283,"243":284,"244":285,"245":286,"246":287,"247":289,"248":290,"249":291,"250":292,"251":294,"252":295,"253":296,"254":298,"255":300,"256":301,"257":302,"258":303,"259":304,"260":305,"261":306,"262":308,"263":309,"264":310,"265":312,"266":313,"267":314,"268":315,"269":316,"270":317,"271":320,"272":321,"273":322,"274":323,"275":324,"276":325,"277":326,"278":327,"279":328,"280":329,"281":330,"282":332,"283":333,"284":334,"285":335,"286":336,"287":337,"288":338,"289":339,"290":340,"291":341,"292":342,"293":343,"294":344,"295":345,"296":346,"297":348,"298":349,"299":350,"300":351,"301":353,"302":354,"303":355,"304":356,"305":357,"306":359,"307":360,"308":361,"309":363,"310":364,"311":366,"312":367,"313":368,"314":369,"315":370,"316":371,"317":372,"318":373,"319":375,"320":376,"321":377,"322":379,"323":380,"324":381,"325":382,"326":385,"327":386,"328":387,"329":388,"330":389,"331":391,"332":392,"333":393,"334":394,"335":395,"336":396,"338":399,"339":400,"340":401,"341":402,"342":403,"343":404,"344":405,"345":406,"346":407,"347":408,"348":409,"349":412,"350":413,"351":414,"352":415,"353":416,"354":417,"355":419,"356":420,"357":421,"358":422,"359":423,"360":424,"361":425,"362":426,"363":427,"364":428,"365":429,"366":430,"367":432,"368":433,"369":434,"370":437,"371":438,"372":439,"373":440,"374":441,"375":442,"377":445,"378":446,"379":447,"380":448,"381":449,"382":450,"384":453,"385":454,"386":455,"387":456,"388":457,"389":458,"390":459,"391":460,"392":462,"393":463,"394":464,"395":465,"396":466,"397":469,"398":471,"399":472,"400":473,"401":474,"402":475,"403":476,"404":477,"405":479,"406":480,"407":481,"408":482,"409":484,"410":485,"411":487,"412":488,"413":489,"414":490,"415":491,"416":492,"417":493,"418":494,"419":496,"420":497,"421":498,"422":501,"423":503,"424":504,"425":505,"426":507,"427":508,"428":509,"429":510,"430":511,"431":519,"432":520,"433":521,"434":528,"435":529,"436":531,"437":532,"438":534,"439":539,"440":540,"441":554,"442":555,"443":557,"444":559,"445":560,"446":561,"447":562,"448":563,"449":564,"450":565,"451":568,"452":569,"453":571,"454":579,"455":580,"456":582,"457":585,"458":587,"459":588,"460":589,"461":591,"462":593,"463":594,"464":595,"465":596,"466":597,"467":599,"468":600,"469":609,"470":610,"471":612,"472":613,"473":615,"474":618,"475":619,"476":621,"477":624,"478":626,"479":627,"480":628,"481":630,"482":631,"483":632,"484":634,"485":635,"486":636,"487":639,"488":645,"489":646,"490":647,"491":648,"492":649,"493":650,"494":651,"495":652,"496":653,"497":657,"498":659,"499":665,"500":666,"501":670,"502":673,"503":676,"504":680,"505":681,"506":682,"507":684,"508":686,"509":689,"510":691,"511":692,"512":695,"513":696,"514":700,"515":701,"516":702,"517":705,"518":706,"519":708,"520":709,"521":711,"522":716,"523":722,"524":724,"525":726,"526":728,"527":729,"528":731,"529":735,"530":736,"531":742,"532":744,"533":745,"534":749,"535":750,"536":752,"537":753,"538":754,"539":755,"540":756,"541":759,"542":761,"543":767,"544":771,"545":775,"546":776,"547":779,"548":792,"549":796,"550":797,"551":802,"552":803,"553":804,"554":805,"555":806,"556":814,"557":816,"558":817,"559":818,"560":822,"561":823,"562":825,"563":827,"564":832,"565":834,"566":836,"567":837,"568":839,"569":840,"570":841,"571":847,"572":848,"573":849,"574":851,"575":856,"576":858,"577":860,"578":861,"579":862,"580":863,"581":864,"582":865,"583":867,"584":872,"585":874,"586":880,"587":883,"588":887,"589":890,"590":894,"591":898,"592":902,"593":903,"594":906,"595":909,"596":911,"597":915,"598":916,"599":922,"600":928,"601":933,"602":934,"603":936,"604":937,"605":938,"606":944,"607":951,"608":952,"609":953,"610":954,"611":958,"612":960,"613":961,"614":963,"615":964,"616":965,"617":966,"618":967,"619":968,"620":970,"621":973,"622":978,"623":979,"624":980,"625":981,"626":982,"627":983,"628":986,"629":988,"630":990,"631":991,"632":992,"633":1000,"634":1001,"635":1004,"636":1007,"637":1014,"638":1015,"639":1020,"640":1021,"641":1023},[6,19,22,41,54,56,59,64,68,74,79,85,87,94,95,103,114,127,132,145,155,165,171,176,179,181,188,191,209,216,218,219,225,232,250,269,278,288,293,297,299,307,311,318,319,331,347,362,365,374,378,384,390,398,411,418,431,435,436,444,451,461,467,468,478,486,495,499,500,502,506,512,514,515,517,518,533,535,536,537,541,542,543,547,550,551,552,566,570,573,574,577,578,581,583,584,592,598,604,605,608,611,614,616,617,622,623,625,629,633,640,641,642,643,644,658,661,662,664,668,674,675,677,678,679,683,685,688,690,693,694,707,710,717,721,723,732,733,734,737,738,741,746,747,758,760,763,764,766,768,770,772,773,774,778,780,781,782,783,786,787,790,791,793,794,798,800,811,819,820,824,828,831,833,842,843,845,850,854,855,859,869,870,871,876,877,878,879,882,885,886,888,889,891,895,899,900,901,904,905,907,910,912,913,919,920,923,926,927,935,942,943,946,948,950,957,959,969,974,976,984,985,993,997,998,999,1003,1006,1008,1010,1011,1012,1013,1017,1019],[110,248,253,274,352,358,383,410,470,483,513,524,526,545,548,549,553,558,567,575,590,602,603,606,607,637,655,667,672,697,698,699,704,712,713,714,715,727,730,739,740,743,751,757,765,769,785,789,801,810,821,826,829,838,844,857,866,875,884,892,893,896,897,908,917,925,930,931,932,940,941,945,947,949,955,972,975,977,996,1005,1018,1022],{"0":538,"1":544,"3":620,"4":656,"5":660,"6":669,"7":671,"8":762,"9":777,"10":784,"11":788,"12":795,"13":812,"14":813,"15":815,"16":830,"17":835,"18":846,"19":852,"20":868,"21":873,"22":924,"23":939,"24":956,"25":962,"26":971,"27":987,"28":995},[516,523,546,601,638,663,703,719,720,748,799,881,914,918,921,989,1002,1016],{"0":525,"1":527,"2":572,"3":718,"5":807,"7":809,"8":929,"9":994,"10":1009},{"0":522,"2":576,"3":586,"4":654,"5":687,"6":853}]