[{"0":0,"1":1,"2":2,"3":3,"4":5,"5":7,"6":9,"7":10,"8":11,"9":12,"10":14,"11":16,"12":18,"13":19,"14":20,"15":21,"16":22,"17":23,"18":24,"19":25,"20":27,"21":28,"22":31,"23":32,"24":33,"25":34,"26":36,"27":38,"28":39,"29":40,"30":41,"31":44,"32":45,"33":46,"34":47,"35":48,"36":50,"37":51,"38":52,"39":53,"40":56,"41":57,"42":58,"43":59,"44":61,"45":63,"46":64,"47":65,"48":66,"49":67,"50":68,"51":69,"52":70,"53":72,"54":73,"55":74,"56":75,"57":76,"58":80,"59":81,"60":83,"61":84,"62":85,"63":86,"64":87,"65":88,"66":90,"67":91,"68":92,"69":93,"70":96,"71":97,"72":98,"73":99,"74":100,"75":101,"77":103,"78":105,"79":106,"80":107,"81":108,"82":109,"83":110,"84":112,"85":115,"86":116,"87":118,"88":122,"89":123,"90":124,"91":125,"92":126,"93":127,"94":128,"95":130,"96":131,"97":132,"98":135,"99":137,"100":138,"101":139,"102":140,"103":141,"104":143,"105":144,"106":145,"107":146,"108":147,"109":148,"110":149,"111":150,"112":151,"113":152,"114":153,"115":154,"116":155,"117":156,"118":158,"119":159,"120":160,"121":161,"122":162,"123":164,"124":165,"125":166,"126":167,"127":168,"128":169,"129":170,"130":172,"131":174,"132":175,"133":176,"134":177,"135":178,"136":179,"137":180,"138":182,"139":183,"140":185,"141":186,"142":187,"143":188,"144":189,"145":190,"146":191,"147":192,"148":193,"149":194,"150":195,"151":196,"152":197,"153":198,"154":199,"155":200,"156":201,"157":202,"158":203,"159":206,"160":207,"161":209,"162":211,"163":213,"164":214,"165":215,"166":216,"167":217,"168":218,"169":219,"170":221,"171":222,"172":223,"173":225,"174":226,"175":229,"176":231,"177":232,"178":233,"179":234,"180":235,"181":237,"182":238,"183":239,"184":240,"185":241,"186":242,"187":243,"188":244,"189":245,"190":246,"191":248,"192":250,"193":251,"194":252,"195":253,"196":255,"197":256,"198":257,"199":258,"200":259,"201":260,"202":261,"203":262,"204":263,"205":264,"206":265,"207":266,"208":267,"209":268,"210":269,"211":270,"212":271,"213":273,"214":274,"215":275,"216":276,"217":277,"218":278,"219":279,"220":280,"221":281,"222":282,"223":284,"224":285,"225":286,"226":287,"227":288,"228":289,"229":290,"230":291,"231":292,"232":293,"233":294,"234":295,"235":296,"236":297,"237":298,"238":299,"239":300,"240":301,"241":302,"242":303,"243":304,"244":305,"245":306,"246":309,"247":311,"248":312,"249":314,"250":315,"251":316,"252":317,"253":318,"254":319,"255":320,"256":321,"257":322,"258":323,"259":324,"260":326,"261":327,"262":328,"263":329,"264":331,"265":333,"266":334,"267":335,"268":337,"269":338,"270":340,"271":341,"272":342,"273":343,"274":344,"275":345,"276":346,"277":351,"278":352,"279":353,"280":354,"281":355,"282":357,"283":359,"284":360,"285":361,"286":363,"287":364,"288":367,"289":368,"290":369,"291":370,"292":371,"293":372,"294":373,"295":374,"296":375,"297":376,"298":377,"299":378,"300":379,"301":380,"302":381,"303":382,"304":383,"305":384,"306":385,"307":386,"308":387,"309":388,"310":389,"311":390,"312":391,"313":393,"314":394,"315":395,"316":396,"317":397,"318":398,"319":399,"320":400,"321":401,"322":402,"323":403,"324":404,"325":405,"326":406,"327":407,"328":408,"329":409,"330":410,"331":411,"332":412,"333":413,"334":415,"335":416,"336":417,"337":418,"338":419,"339":420,"340":422,"341":423,"342":425,"343":427,"344":429,"345":430,"346":431,"347":433,"348":434,"349":435,"350":436,"351":437,"352":438,"353":439,"354":440,"355":442,"356":443,"357":445,"358":446,"359":448,"360":449,"361":450,"362":451,"363":452,"364":453,"365":454,"366":456,"367":458,"368":460,"369":463,"370":465,"371":466,"372":467,"373":468,"374":469,"375":470,"376":472,"377":473,"378":474,"379":475,"380":476,"381":477,"382":479,"383":480,"384":481,"385":482,"386":483,"387":485,"388":487,"389":488,"390":490,"391":491,"392":493,"393":494,"394":495,"395":496,"396":497,"397":498,"398":499,"399":500,"400":504,"401":506,"402":507,"403":508,"404":509,"405":510,"406":511,"407":518,"408":522,"409":523,"410":527,"411":529,"412":530,"413":533,"414":535,"415":540,"416":541,"417":543,"418":546,"419":547,"420":552,"421":563,"422":565,"423":573,"424":575,"425":579,"426":582,"427":593,"428":594,"429":598,"430":600,"431":607,"432":617,"433":618,"434":622,"435":624,"436":627,"437":632,"438":637,"439":643,"440":647,"441":652,"442":653,"443":659,"444":667,"445":668,"446":679,"447":683,"448":694,"449":695,"450":696,"451":702,"452":704,"453":707,"454":709,"455":713,"456":723,"457":727,"458":728,"459":733,"460":737,"461":742,"462":743,"463":744,"464":747,"465":750,"466":752,"467":754,"468":756,"469":762,"470":764,"471":772,"472":777,"473":780,"474":782,"475":783,"476":785,"477":792,"478":798,"479":801,"480":802,"481":804,"482":812,"483":822,"484":824,"485":826,"486":847,"487":852,"488":858,"489":862,"490":863,"491":864,"492":865,"493":867,"494":869,"495":874,"496":878,"497":879,"498":881,"499":887,"500":888,"501":896,"502":897,"503":898,"504":912,"505":914,"506":917,"507":918,"508":924,"509":926,"510":928,"511":930,"512":934,"513":940,"514":945,"515":946,"516":950,"517":954,"518":955,"519":956,"520":960,"521":961,"522":967,"523":968,"524":970,"525":981,"526":986,"527":987,"528":993,"529":1003,"530":1019,"531":1022},[4,6,8,13,15,17,26,29,30,35,49,54,55,60,62,71,77,78,79,82,89,94,95,104,111,113,114,117,119,120,121,129,133,134,142,157,163,171,173,181,184,204,205,208,210,212,220,224,227,228,230,236,247,249,254,272,283,307,308,310,313,325,330,332,336,339,347,348,349,350,356,358,362,365,366,392,421,424,428,432,441,444,447,455,457,459,462,471,484,486,489,492,501,502,503,512,514,515,517,520,521,524,526,531,532,544,545,550,555,558,559,564,566,567,568,571,574,580,581,583,588,590,591,597,603,605,606,609,610,611,613,615,619,620,621,623,626,628,630,631,633,634,636,638,639,641,642,646,648,656,657,660,663,664,669,672,678,681,682,684,686,687,688,689,692,697,701,703,714,715,724,734,736,745,746,748,749,755,757,759,760,763,765,768,771,773,775,778,781,786,789,791,795,796,799,800,803,805,806,808,809,815,816,821,832,833,834,836,837,839,841,843,851,861,868,875,876,877,882,885,886,891,892,894,900,905,908,911,913,920,922,925,927,933,936,941,944,951,952,953,958,959,962,965,971,972,974,975,977,978,984,985,988,989,991,994,996,997,1000,1009,1011,1015,1017],[37,42,43,136,414,426,461,464,478,505,513,519,528,539,542,548,553,557,560,562,572,578,586,589,592,602,625,635,651,654,661,666,673,676,691,693,698,700,706,708,710,716,717,719,722,729,730,735,740,741,761,776,787,788,790,793,794,807,818,820,827,828,830,831,835,842,846,848,850,854,855,859,860,871,872,884,890,899,901,906,915,916,923,929,931,935,942,943,947,949,966,976,979,982,983,992,1005,1010,1012,1013,1016,1018],[534,561,576,577,585,596,601,612,614,649,662,665,670,671,675,685,699,705,711,720,725,731,732,738,739,751,753,779,810,814,817,823,825,829,838,853,857,870,873,880,893,904,909,910,919,921,937,939,963,973,1001,1002,1014,1021],[516,537,538,551,554,570,616,680,690,712,718,726,769,770,813,819,840,849,889,902,932,948,964,980,998,999,1006,1007,1008,1020],[525,536,549,556,584,587,595,604,629,645,650,655,674,677,758,767,774,844,856,895,907,990,1023],[569,608,644,658,766,784,845,883,903,938,957,969,995,1004],[599,640,797,866],[721,811]]