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