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