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