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