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