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