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