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