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