[{"0":1,"1":2,"3":6,"4":7,"5":8,"6":9,"7":10,"8":11,"9":12,"10":13,"11":14,"12":15,"13":16,"14":17,"15":18,"16":19,"17":20,"18":22,"19":23,"20":24,"21":25,"22":27,"23":28,"24":29,"25":32,"26":33,"27":34,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":42,"35":43,"36":45,"37":46,"38":47,"39":48,"40":49,"41":50,"42":53,"43":54,"44":55,"45":56,"46":57,"47":58,"48":59,"50":61,"51":62,"52":63,"53":64,"54":65,"55":66,"56":68,"57":70,"58":71,"59":72,"60":74,"61":75,"62":76,"63":79,"64":82,"65":83,"66":84,"67":87,"68":88,"69":89,"70":90,"71":91,"72":94,"73":95,"74":96,"75":97,"76":99,"77":100,"78":103,"79":104,"80":105,"81":107,"83":109,"84":110,"85":111,"86":112,"87":114,"88":115,"89":116,"90":117,"91":118,"92":119,"93":120,"94":121,"95":122,"96":124,"97":125,"98":126,"99":127,"100":129,"101":130,"102":131,"103":132,"104":134,"105":136,"106":141,"107":142,"108":143,"109":144,"110":145,"111":146,"112":147,"113":148,"114":150,"115":152,"116":153,"117":154,"118":155,"119":157,"120":158,"121":159,"122":160,"123":161,"124":163,"125":164,"127":166,"128":167,"129":168,"130":169,"131":170,"132":171,"133":172,"134":173,"135":174,"136":175,"137":176,"138":177,"139":178,"140":179,"141":180,"142":182,"143":183,"144":184,"145":185,"146":187,"147":189,"148":190,"149":192,"150":193,"151":194,"152":195,"153":198,"154":199,"155":200,"156":201,"157":204,"158":205,"159":206,"160":207,"161":208,"162":209,"163":210,"164":211,"165":212,"166":213,"167":215,"168":216,"169":217,"170":219,"171":220,"172":221,"173":223,"174":224,"175":225,"176":226,"177":227,"178":228,"179":229,"180":231,"181":232,"182":234,"183":235,"184":236,"185":237,"186":238,"187":239,"188":241,"189":242,"190":243,"191":247,"192":248,"193":249,"194":250,"195":251,"196":252,"197":254,"198":255,"199":257,"200":258,"201":259,"202":260,"203":261,"204":262,"205":263,"206":264,"207":265,"208":266,"209":267,"210":269,"211":271,"212":272,"213":273,"214":274,"215":275,"216":276,"217":277,"218":279,"219":280,"220":281,"221":283,"222":284,"223":285,"224":286,"225":289,"226":290,"227":291,"228":292,"229":293,"230":295,"231":296,"232":297,"233":298,"234":299,"235":300,"236":302,"237":303,"238":304,"239":305,"240":306,"241":307,"242":308,"243":309,"244":312,"245":313,"246":314,"247":315,"248":316,"249":317,"250":318,"251":320,"252":321,"253":322,"254":323,"255":325,"256":326,"257":327,"258":328,"259":329,"260":330,"261":331,"262":332,"263":333,"264":334,"265":335,"266":336,"267":337,"268":338,"269":339,"270":340,"271":342,"272":343,"273":345,"274":346,"275":347,"276":348,"277":349,"278":350,"279":351,"280":352,"281":353,"282":354,"283":355,"284":356,"285":357,"286":358,"287":359,"288":360,"289":361,"290":362,"291":363,"292":364,"293":366,"294":367,"295":368,"296":369,"297":370,"298":372,"299":373,"300":374,"301":375,"302":376,"303":377,"304":378,"305":379,"306":380,"307":381,"308":383,"309":384,"310":385,"311":386,"312":387,"313":390,"314":392,"315":393,"316":394,"317":396,"318":397,"319":398,"320":399,"321":400,"322":401,"323":404,"324":405,"325":406,"326":407,"327":408,"328":409,"329":410,"330":411,"331":412,"332":413,"333":415,"334":416,"335":419,"336":420,"337":421,"338":422,"340":424,"341":425,"342":426,"343":427,"344":428,"345":429,"346":430,"347":431,"348":432,"349":433,"350":434,"351":435,"352":436,"353":437,"354":438,"355":439,"356":440,"357":441,"358":442,"359":443,"360":445,"361":446,"362":448,"363":450,"364":451,"365":453,"366":454,"367":456,"368":457,"369":458,"370":459,"371":460,"372":462,"373":463,"374":464,"375":465,"376":466,"377":467,"378":468,"379":469,"380":470,"381":471,"382":472,"383":473,"384":474,"385":475,"386":476,"387":477,"388":478,"389":480,"390":481,"391":482,"392":484,"393":485,"394":486,"395":487,"396":488,"397":489,"398":490,"399":492,"400":493,"401":494,"402":496,"403":497,"404":498,"405":499,"406":500,"407":501,"408":502,"409":504,"410":506,"411":507,"412":508,"413":510,"414":511,"415":512,"416":515,"417":519,"418":524,"419":528,"420":534,"421":541,"422":544,"423":551,"424":555,"425":558,"426":560,"427":564,"428":567,"429":570,"430":571,"431":572,"432":573,"433":574,"434":577,"435":583,"436":585,"437":588,"438":592,"439":593,"440":594,"441":596,"442":600,"443":604,"444":610,"445":611,"446":613,"447":615,"448":619,"449":622,"450":624,"451":625,"452":628,"453":632,"454":633,"455":634,"456":637,"457":640,"458":641,"459":643,"460":644,"461":646,"462":647,"463":648,"464":650,"465":651,"466":653,"467":660,"468":663,"469":674,"470":675,"471":678,"472":680,"473":682,"474":683,"475":686,"476":688,"477":689,"478":691,"479":692,"480":699,"481":702,"482":703,"483":704,"484":705,"485":706,"486":711,"487":712,"488":714,"489":716,"490":725,"491":730,"492":733,"493":734,"494":736,"495":738,"496":744,"497":747,"498":749,"499":752,"500":753,"501":755,"502":762,"503":763,"504":768,"505":769,"506":770,"507":771,"508":774,"509":775,"510":782,"511":785,"512":787,"513":794,"514":798,"515":799,"516":801,"517":805,"518":807,"519":808,"520":813,"521":816,"522":821,"523":825,"524":827,"525":828,"526":829,"527":831,"528":834,"529":837,"530":841,"531":843,"532":845,"533":851,"534":852,"535":856,"536":857,"537":858,"538":860,"539":862,"540":863,"541":865,"542":868,"543":872,"544":874,"545":885,"546":891,"547":892,"548":893,"549":899,"550":900,"551":905,"552":914,"553":915,"554":916,"555":922,"556":923,"557":928,"558":934,"559":942,"560":944,"561":950,"562":957,"563":961,"564":964,"565":965,"566":967,"567":968,"568":973,"569":976,"570":978,"571":981,"572":982,"573":988,"574":990,"575":994,"576":997,"577":1001,"578":1007,"579":1014,"580":1018,"581":1021},[0,3,4,21,26,30,31,35,44,51,52,73,78,80,81,85,92,93,98,102,106,123,128,133,137,138,139,140,156,162,181,186,191,197,202,203,214,218,230,233,240,244,245,246,253,256,268,278,282,287,294,301,310,311,319,324,341,344,371,382,388,389,391,395,402,403,414,417,444,452,455,461,479,483,491,503,505,509,513,514,518,520,521,522,525,526,527,530,531,535,536,537,539,542,543,547,549,550,552,553,556,557,561,563,566,568,575,576,579,581,582,584,586,587,589,591,597,598,602,607,614,617,620,621,627,629,635,638,639,642,645,649,655,658,659,661,669,670,672,673,677,679,685,693,696,700,707,708,713,717,718,719,721,724,726,728,732,737,740,741,745,748,757,758,759,760,764,765,766,767,776,778,780,783,786,789,790,797,803,806,809,810,811,812,814,818,824,833,835,836,838,839,842,844,847,848,849,853,855,859,866,876,878,880,881,886,889,894,895,896,897,901,904,906,909,910,912,913,918,919,920,926,927,929,931,932,935,937,938,941,945,947,951,952,953,954,955,956,958,959,962,963,971,974,977,983,984,986,991,992,993,995,998,999,1000,1003,1008,1010,1013,1017,1019,1020,1022,1023],{"0":67,"1":69,"2":86,"3":101,"4":113,"5":135,"6":149,"7":151,"8":188,"9":196,"10":270,"11":288,"12":365,"13":418,"14":447,"15":449,"16":495,"17":517,"18":529,"19":533,"20":546,"21":548,"22":554,"23":559,"24":562,"25":565,"26":578,"27":595,"28":599,"29":601,"30":605,"31":609,"32":612,"33":618,"34":626,"35":631,"36":654,"37":656,"38":662,"39":664,"40":676,"41":687,"42":695,"43":698,"44":701,"45":720,"46":722,"47":723,"48":727,"49":731,"51":750,"52":756,"53":761,"54":772,"55":773,"56":777,"57":788,"58":791,"59":792,"60":796,"61":800,"62":804,"63":815,"64":817,"65":820,"66":822,"67":826,"68":832,"69":846,"70":850,"71":854,"72":861,"73":864,"74":869,"75":871,"77":882,"78":890,"79":898,"80":902,"81":903,"82":907,"83":908,"84":911,"85":921,"86":940,"87":943,"88":949,"89":960,"90":972,"91":979,"92":980,"93":985,"94":987,"95":989,"96":1011,"97":1016},[77,222,538,540,545,603,606,623,665,668,671,690,694,697,710,715,739,746,751,784,819,823,840,875,884,887,888,925,933,936,966,1004,1006],[516,569,616,636,657,666,667,681,729,917,924,948,969,975,1005,1009,1015],[532,580,735,742,781,793,795,970,1002],[523,608,652,754,779,802,867,870,877,883,930,939,996],[590,630,684,709,830,879],[946]]