[{"0":0,"1":1,"2":3,"3":4,"4":5,"5":7,"6":8,"7":9,"8":10,"9":11,"10":12,"11":13,"12":14,"13":16,"14":17,"15":18,"16":19,"17":20,"18":21,"19":22,"20":23,"21":24,"22":25,"23":26,"24":27,"25":28,"26":29,"27":30,"28":32,"29":33,"31":35,"32":36,"33":37,"34":38,"35":39,"36":40,"37":41,"38":43,"39":44,"40":45,"41":46,"42":47,"43":48,"44":49,"45":50,"46":51,"47":52,"48":53,"49":54,"50":56,"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":72,"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":89,"82":90,"83":91,"84":92,"85":94,"86":95,"87":96,"88":97,"89":98,"90":99,"91":100,"92":101,"93":102,"94":103,"95":104,"96":105,"97":106,"98":107,"99":108,"100":111,"101":112,"102":113,"103":114,"104":115,"105":116,"106":118,"107":119,"108":120,"109":122,"110":123,"111":124,"112":125,"113":126,"114":127,"115":128,"116":130,"117":131,"118":132,"119":133,"120":134,"121":135,"122":136,"123":137,"124":138,"125":140,"126":141,"127":142,"128":143,"129":144,"130":145,"131":147,"132":148,"133":149,"134":150,"135":151,"136":152,"137":153,"138":155,"139":156,"140":157,"141":158,"142":159,"143":160,"144":161,"145":162,"146":163,"147":164,"148":165,"149":166,"150":167,"151":168,"152":169,"153":170,"154":171,"155":173,"156":175,"157":176,"158":177,"159":178,"160":179,"161":180,"162":182,"163":183,"164":184,"165":185,"166":186,"167":187,"168":188,"169":189,"170":191,"171":192,"172":193,"173":194,"174":196,"175":197,"176":198,"177":199,"178":201,"179":203,"180":204,"181":205,"182":206,"183":207,"184":208,"185":209,"186":210,"187":211,"188":212,"189":213,"190":214,"191":215,"192":217,"193":218,"194":220,"195":221,"196":222,"197":223,"198":224,"199":225,"200":226,"201":227,"202":228,"203":230,"204":231,"205":232,"206":233,"207":234,"208":235,"209":236,"210":237,"211":238,"212":239,"213":240,"214":242,"215":243,"216":244,"217":245,"218":246,"219":247,"220":248,"221":249,"222":250,"223":252,"224":253,"225":254,"226":255,"227":256,"228":257,"229":258,"230":259,"231":260,"232":261,"233":262,"234":263,"235":264,"236":266,"237":267,"238":268,"239":269,"240":270,"241":271,"242":272,"243":273,"244":274,"245":275,"246":276,"247":277,"248":278,"249":279,"250":280,"251":281,"252":282,"253":283,"254":284,"255":285,"256":286,"257":287,"258":288,"259":289,"260":290,"261":291,"262":292,"263":293,"264":294,"265":296,"266":297,"267":298,"268":299,"269":300,"270":301,"271":302,"272":303,"273":305,"274":306,"275":307,"276":308,"277":309,"278":310,"279":311,"280":312,"281":313,"283":316,"284":319,"285":320,"286":321,"287":322,"288":324,"289":325,"290":326,"291":327,"292":328,"293":330,"294":331,"295":332,"296":333,"297":334,"298":335,"299":336,"300":337,"301":338,"302":339,"303":340,"304":341,"305":342,"306":343,"307":344,"308":345,"309":346,"310":347,"311":348,"312":349,"313":350,"314":351,"315":353,"316":355,"317":357,"318":358,"319":359,"320":361,"321":362,"322":363,"323":364,"325":367,"326":368,"327":369,"328":370,"329":371,"330":372,"331":374,"332":376,"333":377,"334":378,"335":379,"336":380,"337":381,"338":382,"339":384,"340":385,"341":386,"342":387,"343":388,"344":390,"345":391,"346":392,"347":393,"348":394,"349":396,"350":397,"351":398,"352":399,"353":400,"354":401,"355":404,"356":407,"357":408,"358":409,"359":410,"360":411,"361":412,"362":413,"363":414,"364":415,"365":416,"366":417,"367":419,"368":420,"369":421,"370":422,"371":423,"372":424,"373":425,"374":426,"375":427,"376":429,"377":430,"378":431,"379":432,"380":433,"381":434,"382":435,"383":436,"384":437,"385":438,"386":439,"387":440,"388":441,"389":442,"390":443,"391":445,"392":446,"393":447,"394":449,"395":450,"396":451,"397":453,"398":455,"399":456,"400":457,"401":458,"402":459,"403":460,"404":461,"405":463,"406":464,"407":465,"408":466,"409":467,"410":468,"411":469,"412":470,"413":471,"414":472,"415":473,"416":474,"417":475,"418":476,"419":477,"420":478,"421":479,"422":480,"423":481,"424":482,"425":483,"426":484,"427":485,"428":486,"429":487,"430":488,"431":489,"432":490,"433":491,"434":493,"435":494,"436":495,"437":497,"438":498,"439":499,"440":500,"441":501,"442":502,"443":503,"444":504,"445":505,"446":506,"447":507,"448":508,"449":509,"450":510,"451":511,"452":512,"453":514,"454":517,"455":520,"456":521,"457":522,"458":523,"459":524,"460":525,"461":527,"462":528,"463":529,"464":532,"465":533,"466":534,"467":537,"468":538,"469":539,"470":541,"471":542,"472":544,"473":545,"474":548,"475":551,"476":553,"477":556,"478":557,"479":558,"480":559,"481":560,"482":561,"483":562,"484":565,"485":569,"486":570,"487":571,"488":573,"489":574,"490":575,"491":576,"492":577,"493":578,"494":579,"495":581,"496":582,"497":586,"498":587,"499":589,"500":590,"501":592,"502":594,"503":595,"504":597,"505":601,"506":602,"507":603,"508":605,"509":606,"510":609,"511":610,"512":611,"513":615,"514":617,"515":620,"516":621,"517":622,"518":624,"519":626,"520":627,"521":628,"522":631,"523":634,"524":637,"525":640,"526":641,"527":642,"528":643,"529":646,"530":648,"531":651,"532":654,"533":655,"534":657,"535":664,"536":666,"537":667,"538":668,"539":671,"540":672,"541":677,"542":682,"543":683,"544":684,"545":685,"546":687,"547":688,"548":690,"549":693,"550":694,"551":695,"552":697,"553":698,"554":699,"555":700,"556":701,"557":702,"558":704,"559":705,"560":706,"561":707,"562":709,"563":710,"564":711,"565":712,"566":713,"567":714,"568":717,"569":720,"570":722,"571":723,"572":724,"573":726,"574":728,"575":729,"576":731,"577":732,"578":735,"579":736,"580":742,"581":743,"582":744,"583":746,"584":747,"585":748,"586":749,"587":751,"588":752,"589":753,"590":755,"591":757,"592":758,"593":759,"594":760,"595":761,"596":762,"597":763,"598":765,"599":767,"600":770,"601":774,"602":776,"603":777,"604":781,"605":784,"606":786,"607":793,"608":795,"609":796,"610":797,"611":798,"612":799,"613":802,"614":803,"615":805,"616":806,"617":808,"618":815,"619":819,"620":820,"621":822,"622":825,"623":826,"624":827,"625":828,"626":829,"627":830,"628":832,"629":835,"630":837,"631":838,"632":839,"633":841,"634":842,"635":843,"636":844,"637":846,"638":848,"639":849,"640":852,"641":853,"642":854,"643":855,"644":857,"645":858,"646":860,"647":862,"648":865,"649":866,"650":867,"651":868,"652":870,"653":871,"654":875,"655":877,"656":883,"657":884,"658":885,"659":888,"660":890,"661":891,"662":892,"663":893,"664":894,"665":895,"666":897,"667":898,"668":902,"669":904,"670":906,"671":907,"672":913,"673":914,"674":916,"675":917,"676":922,"677":928,"678":929,"679":934,"680":935,"681":936,"682":937,"683":940,"684":941,"685":944,"686":946,"687":947,"688":953,"689":958,"690":959,"691":960,"692":962,"693":963,"694":964,"695":966,"696":968,"697":969,"698":971,"699":974,"700":975,"701":977,"702":978,"703":979,"704":980,"705":981,"706":983,"707":985,"708":990,"709":992,"710":994,"711":995,"712":997,"713":1000,"714":1003,"715":1004,"716":1005,"717":1006,"718":1007,"719":1008,"720":1010,"721":1012,"722":1013,"723":1014,"724":1015,"725":1016,"726":1022},[2,6,15,31,42,55,73,83,93,109,110,117,121,129,139,146,154,172,174,181,190,195,200,202,216,219,229,251,265,295,314,317,318,323,329,352,354,356,360,365,373,375,383,389,395,402,403,405,406,418,428,444,448,452,454,462,492,496,515,516,518,526,530,531,535,540,546,547,549,550,554,563,564,566,567,568,572,583,584,585,588,591,596,599,607,608,616,618,619,623,625,629,630,632,633,635,636,638,639,647,649,652,659,663,670,673,674,675,676,679,680,686,689,692,703,708,715,716,719,721,730,733,734,737,738,739,745,750,764,766,768,769,771,772,773,775,779,782,783,785,789,790,791,801,804,810,812,813,814,816,817,818,821,823,831,833,836,845,847,861,872,873,876,878,879,881,887,889,896,899,900,901,903,909,910,911,912,915,918,919,921,923,925,927,930,938,945,948,949,950,954,955,956,961,965,967,970,972,973,982,986,987,988,989,991,993,996,998,999,1001,1009,1011,1019,1020,1021,1023],[241,304,513,519,536,543,552,555,580,593,598,600,612,613,614,644,645,650,653,656,658,661,662,665,669,678,681,691,718,725,727,740,754,756,787,788,792,794,800,807,809,811,824,834,840,850,856,859,874,880,882,886,908,920,924,939,942,943,951,952,957],[741,778,780,851,863,869,905,931,932,976,984],[604,696,864,933,1002],[660,926,1018],[1017]]