[{"0":0,"1":1,"2":2,"3":3,"4":6,"5":7,"6":8,"7":9,"8":12,"9":13,"10":14,"11":16,"12":17,"13":18,"14":21,"15":23,"16":24,"17":25,"18":26,"19":27,"20":28,"21":29,"22":31,"23":33,"24":34,"25":35,"26":37,"27":39,"28":41,"29":42,"30":48,"31":49,"32":50,"33":51,"34":52,"35":53,"36":55,"37":57,"38":58,"39":59,"40":60,"41":61,"42":62,"43":63,"44":65,"45":66,"46":67,"47":70,"48":72,"49":73,"50":75,"51":77,"52":80,"53":81,"54":82,"55":83,"56":84,"57":85,"58":86,"59":91,"60":92,"61":93,"62":95,"63":96,"64":97,"65":98,"66":99,"67":100,"68":101,"69":103,"70":104,"71":105,"72":106,"73":107,"74":111,"75":113,"76":118,"77":120,"78":124,"79":127,"80":130,"81":131,"82":132,"83":133,"84":134,"85":136,"86":138,"87":141,"88":146,"89":151,"90":152,"91":153,"92":155,"93":156,"94":160,"95":162,"96":163,"97":165,"98":166,"99":167,"100":169,"101":170,"102":172,"103":173,"104":174,"105":175,"106":176,"107":177,"108":178,"109":179,"110":180,"111":183,"112":184,"113":185,"114":186,"115":187,"116":189,"117":190,"118":191,"119":192,"120":193,"121":194,"122":196,"123":198,"124":201,"125":202,"126":204,"127":206,"128":207,"129":208,"130":213,"131":214,"132":221,"133":223,"134":226,"135":227,"136":228,"137":229,"138":230,"139":231,"140":232,"141":233,"142":234,"143":235,"144":236,"145":237,"146":238,"147":239,"148":240,"149":241,"150":242,"151":244,"152":245,"153":247,"154":248,"155":249,"156":251,"157":252,"158":255,"159":256,"160":257,"161":259,"162":260,"163":261,"164":263,"165":265,"166":266,"167":268,"168":269,"169":270,"170":274,"171":276,"172":283,"173":284,"174":291,"175":292,"176":293,"177":296,"178":297,"179":298,"180":299,"181":300,"182":301,"183":302,"184":304,"185":305,"186":306,"187":308,"188":309,"189":312,"190":313,"191":314,"192":316,"193":317,"194":318,"195":320,"196":321,"197":322,"198":323,"199":324,"200":325,"201":326,"202":327,"203":329,"204":332,"205":333,"206":334,"207":335,"208":336,"209":344,"210":345,"211":349,"212":350,"213":351,"214":352,"215":354,"216":356,"217":358,"218":359,"219":360,"220":364,"221":366,"222":371,"223":372,"224":374,"225":375,"226":377,"227":379,"228":380,"229":382,"230":384,"231":385,"232":386,"233":387,"234":388,"235":389,"236":390,"237":391,"238":395,"239":396,"240":397,"241":399,"242":400,"243":403,"244":405,"245":406,"246":407,"247":409,"248":410,"249":411,"250":412,"251":413,"252":414,"253":415,"254":416,"255":419,"256":421,"257":422,"258":424,"259":426,"260":427,"261":428,"262":429,"263":432,"264":433,"265":434,"266":436,"267":437,"268":438,"269":439,"270":440,"271":442,"272":443,"273":446,"274":447,"275":449,"276":450,"277":452,"278":453,"279":454,"280":456,"281":457,"282":458,"283":459,"284":460,"285":461,"286":462,"287":465,"288":469,"289":470,"290":472,"291":473,"292":475,"293":476,"294":477,"295":478,"296":479,"297":481,"298":482,"299":483,"300":486,"301":487,"302":488,"303":489,"304":491,"305":492,"306":493,"307":495,"308":496,"309":497,"310":499,"311":500,"312":501,"313":502,"314":504,"315":507,"316":508,"317":510,"318":511,"319":512,"320":513,"321":514,"322":515,"323":516,"324":517,"325":518,"326":519,"327":521,"328":522,"329":523,"330":524,"331":525,"332":526,"333":527,"334":528,"335":530,"336":531,"337":534,"338":541,"339":546,"340":554,"341":558,"342":559,"343":570,"344":571,"345":572,"346":575,"347":576,"348":577,"349":580,"350":585,"351":589,"352":591,"353":593,"354":594,"355":596,"356":597,"357":598,"358":600,"359":602,"360":604,"361":605,"362":606,"363":609,"364":611,"365":612,"366":613,"367":615,"368":616,"371":619,"372":621,"373":622,"374":623,"375":624,"376":625,"377":626,"378":627,"379":628,"381":630,"382":631,"383":632,"384":633,"385":634,"386":635,"387":636,"388":637,"389":638,"390":639,"391":640,"392":641,"393":642,"394":643,"395":644,"396":645,"397":654,"398":656,"399":657,"400":658,"401":660,"402":663,"403":665,"404":666,"405":671,"406":672,"407":674,"408":678,"409":679,"410":681,"411":683,"412":685,"413":686,"414":687,"415":688,"416":689,"417":690,"418":692,"419":694,"420":695,"421":696,"422":698,"423":701,"424":703,"425":706,"426":707,"427":709,"428":712,"429":714,"430":715,"431":716,"432":717,"433":720,"434":721,"435":724,"436":726,"437":727,"438":728,"439":729,"440":732,"441":734,"442":736,"443":739,"444":741,"445":742,"446":743,"447":744,"448":745,"449":746,"450":747,"451":750,"452":752,"453":753,"454":754,"455":756,"456":757,"457":758,"458":759,"459":760,"460":761,"461":762,"462":763,"463":764,"464":765,"465":766,"466":767,"467":774,"468":775,"469":781,"470":782,"471":786,"472":789,"473":791,"474":793,"475":795,"476":799,"477":800,"478":802,"479":803,"480":805,"481":808,"482":818,"483":819,"484":820,"485":821,"486":826,"487":828,"488":829,"489":832,"490":833,"491":834,"492":835,"493":837,"494":838,"495":840,"496":841,"497":844,"498":850,"499":851,"500":852,"501":853,"502":855,"503":856,"504":857,"505":858,"506":859,"507":861,"508":862,"509":863,"510":866,"511":868,"512":869,"513":870,"514":871,"515":872,"516":873,"517":875,"518":876,"519":877,"520":878,"521":880,"522":881,"523":882,"524":886,"525":888,"526":890,"527":891,"528":892,"529":893,"530":895,"531":899,"532":900,"533":902,"534":905,"535":906,"536":907,"537":909,"538":911,"539":912,"540":915,"541":917,"542":918,"543":919,"544":920,"545":921,"546":922,"547":923,"548":924,"549":926,"550":927,"551":928,"552":930,"553":932,"554":933,"555":934,"556":935,"557":936,"558":937,"559":938,"560":941,"561":942,"562":943,"563":944,"564":945,"565":946,"566":949,"567":950,"568":953,"569":955,"570":956,"571":957,"572":958,"573":960,"574":961,"575":966,"576":967,"577":970,"578":971,"579":973,"580":976,"581":977,"582":978,"583":979,"584":980,"585":981,"586":982,"587":983,"588":984,"589":987,"590":988,"591":989,"592":991,"593":992,"594":993,"595":995,"596":996,"597":997,"598":998,"599":1001,"600":1004,"601":1005,"602":1006,"603":1007,"604":1008,"605":1009,"606":1010,"607":1011,"608":1012,"609":1013,"610":1014,"611":1016,"612":1017,"613":1018,"614":1019,"615":1020,"616":1021,"617":1022,"618":1023},[4,5,10,11,15,19,20,22,30,32,36,38,40,44,46,56,64,69,71,76,78,87,88,89,90,94,102,110,112,114,115,116,117,119,122,123,125,128,129,135,137,140,142,143,144,145,148,150,154,157,158,159,161,164,168,171,182,188,195,199,200,215,216,217,218,219,222,225,243,246,250,253,254,258,262,264,272,275,277,280,285,286,287,288,290,294,303,307,310,311,315,319,328,330,331,337,339,340,341,342,346,347,357,361,362,363,365,370,373,383,392,393,394,398,401,402,408,417,418,420,423,425,430,431,435,441,444,445,448,451,455,463,464,466,467,474,480,490,498,503,505,509,520,529,539,540,548,549,553,560,573,574,578,579,581,582,583,584,586,587,588,590,592,599,601,607,610,614,620,646,647,648,649,651,652,653,664,667,668,670,675,680,684,691,693,697,699,700,702,705,708,710,713,718,722,723,725,730,731,733,735,737,738,740,748,749,751,755,768,769,770,771,773,776,778,779,780,783,787,788,796,797,798,801,804,806,807,810,811,813,814,815,817,822,824,827,831,836,839,842,843,845,848,849,860,864,865,867,874,879,884,885,887,889,897,898,901,908,913,914,925,929,940,947,948,951,952,954,959,962,963,964,965,968,969,972,974,975,986,990,994,999,1000,1003,1015],[47,108,109,121,126,139,149,181,197,205,209,210,212,220,224,271,273,278,289,338,343,353,369,378,381,404,468,471,484,535,537,544,545,547,564,595,603,608,662,682,704,711,719,772,777,784,790,792,794,812,816,823,825,830,846,847,854,883,894,903,904,910,931,939,985,1002],[147,211,281,485,494,506,538,543,566,676,785,809,896],[43,54,68,203,267,279,282,295,533,555,556,557,568,569,659,916],[45,74,79,532,536,542,550,551,562,563,567],[552,565,655,661,669,677],[561,650,673],[348,355,367,376],[368]]