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