[{"0":1,"1":2,"2":3,"3":4,"4":5,"5":6,"6":7,"7":9,"8":10,"9":12,"10":15,"11":16,"12":17,"13":18,"14":19,"15":20,"16":21,"17":22,"18":23,"19":24,"20":25,"21":26,"22":28,"23":29,"24":30,"25":31,"26":32,"27":33,"28":34,"29":35,"30":36,"31":37,"32":38,"33":39,"34":40,"35":41,"36":43,"37":44,"38":45,"39":46,"40":47,"41":48,"42":49,"43":50,"44":51,"45":52,"46":53,"47":55,"48":56,"49":57,"50":59,"51":60,"52":61,"53":62,"54":63,"55":64,"56":65,"57":66,"58":67,"59":68,"60":69,"61":70,"62":72,"63":73,"64":74,"65":75,"66":76,"67":77,"68":78,"69":79,"70":81,"71":82,"72":83,"73":85,"74":86,"75":87,"76":89,"77":90,"78":91,"79":93,"80":95,"81":97,"82":98,"83":100,"84":102,"85":104,"86":105,"87":106,"88":107,"89":108,"90":109,"91":110,"92":111,"93":112,"94":113,"95":114,"96":115,"97":116,"98":118,"99":119,"100":120,"101":122,"102":123,"103":124,"104":125,"105":127,"106":128,"107":129,"108":130,"109":131,"110":132,"111":133,"112":134,"113":135,"114":136,"115":138,"116":140,"117":141,"118":142,"119":143,"120":144,"121":145,"122":146,"123":147,"124":148,"125":149,"126":151,"127":153,"128":155,"129":158,"130":159,"131":160,"132":161,"133":162,"134":163,"135":164,"136":165,"137":166,"138":167,"139":168,"140":169,"141":172,"142":173,"143":174,"144":175,"145":176,"146":177,"147":178,"148":181,"149":182,"150":183,"151":185,"152":186,"153":187,"154":188,"155":189,"156":190,"157":191,"158":193,"159":194,"160":195,"161":197,"162":198,"163":200,"164":201,"165":202,"166":203,"167":206,"168":207,"169":208,"170":213,"171":214,"172":215,"173":216,"174":217,"175":218,"176":219,"177":221,"178":223,"179":224,"180":225,"181":226,"182":227,"183":228,"184":229,"185":230,"186":231,"187":233,"188":234,"189":235,"190":237,"191":238,"192":239,"193":240,"194":242,"195":243,"196":247,"197":248,"198":249,"199":250,"200":251,"201":252,"202":254,"203":255,"204":257,"205":259,"206":260,"207":261,"208":262,"209":263,"210":264,"211":265,"212":267,"213":268,"214":269,"215":270,"216":271,"217":272,"218":273,"219":274,"220":275,"221":278,"222":279,"223":280,"224":281,"225":282,"226":283,"227":284,"228":286,"229":287,"230":288,"231":289,"232":290,"233":291,"234":292,"235":293,"236":294,"237":296,"238":298,"239":299,"240":300,"241":302,"242":303,"243":304,"244":305,"245":307,"246":308,"247":309,"248":310,"249":311,"250":312,"251":313,"252":314,"253":317,"254":318,"255":319,"256":321,"257":323,"258":324,"259":325,"260":326,"261":327,"262":328,"263":330,"264":331,"265":332,"266":334,"267":336,"268":337,"269":338,"270":339,"271":340,"272":341,"273":342,"274":343,"275":345,"276":346,"277":347,"278":348,"279":349,"280":350,"281":351,"282":352,"283":353,"284":354,"285":357,"286":358,"287":359,"288":361,"289":362,"290":364,"291":365,"292":366,"293":367,"294":368,"295":369,"296":370,"297":372,"298":373,"299":374,"300":375,"301":376,"302":377,"303":378,"304":379,"305":380,"306":381,"307":382,"308":383,"309":384,"310":385,"311":388,"312":389,"313":390,"314":391,"315":392,"316":393,"317":394,"318":395,"319":396,"320":398,"321":399,"322":401,"323":402,"324":403,"325":404,"326":405,"327":407,"328":408,"329":409,"330":410,"331":411,"332":412,"333":413,"334":414,"335":415,"336":416,"338":418,"339":419,"340":420,"341":421,"342":422,"343":424,"344":426,"345":427,"346":428,"347":429,"348":430,"349":432,"350":433,"351":434,"352":435,"353":436,"354":437,"355":438,"356":439,"357":440,"358":442,"359":443,"360":444,"361":446,"362":447,"363":448,"364":449,"365":450,"366":451,"367":453,"368":454,"369":456,"370":457,"371":458,"372":459,"373":460,"374":461,"375":463,"376":464,"377":465,"378":466,"379":468,"380":469,"381":471,"382":472,"383":473,"384":474,"385":476,"386":477,"387":478,"388":479,"389":481,"390":482,"391":484,"392":485,"393":486,"394":487,"395":488,"396":490,"397":492,"398":493,"399":494,"400":495,"401":499,"402":500,"403":501,"404":503,"405":504,"406":507,"407":508,"408":509,"409":510,"410":511,"411":515,"412":516,"413":517,"414":518,"415":522,"416":523,"417":524,"418":525,"419":527,"420":528,"421":530,"422":532,"423":533,"424":534,"425":539,"426":540,"427":542,"428":543,"429":544,"430":547,"431":549,"432":554,"433":556,"434":557,"435":558,"436":559,"437":561,"438":562,"439":563,"440":564,"441":566,"442":567,"443":570,"444":571,"445":572,"446":573,"447":578,"448":582,"449":583,"450":585,"451":588,"452":589,"453":592,"454":594,"455":595,"456":596,"457":603,"458":605,"459":606,"460":608,"461":609,"462":610,"463":612,"464":613,"465":614,"466":615,"467":616,"468":617,"469":620,"470":621,"471":624,"472":625,"473":628,"474":629,"475":630,"476":632,"477":634,"478":639,"479":641,"480":642,"481":645,"482":647,"483":649,"484":650,"485":651,"486":652,"487":654,"488":655,"489":658,"490":659,"491":661,"492":665,"493":667,"494":670,"495":672,"496":674,"497":679,"498":680,"499":681,"500":682,"501":686,"502":688,"503":693,"504":695,"505":696,"506":697,"507":699,"508":703,"509":704,"510":705,"511":707,"512":708,"513":709,"514":712,"515":713,"516":714,"517":715,"518":718,"519":727,"520":728,"521":731,"522":736,"523":737,"524":740,"525":743,"526":747,"527":749,"528":750,"529":754,"530":758,"531":759,"532":761,"533":764,"534":765,"535":766,"536":767,"537":768,"538":774,"539":777,"540":778,"541":782,"542":783,"543":785,"544":788,"545":790,"546":791,"547":792,"548":794,"549":795,"550":798,"551":799,"552":800,"553":801,"554":802,"555":803,"556":806,"557":810,"558":811,"559":815,"560":822,"561":825,"562":828,"563":832,"564":834,"565":835,"566":841,"567":842,"568":843,"569":847,"570":850,"571":851,"572":852,"573":853,"574":854,"575":856,"576":857,"577":858,"578":861,"579":863,"580":864,"581":870,"582":874,"583":877,"584":878,"585":879,"586":880,"587":881,"588":885,"589":886,"590":891,"591":892,"592":895,"593":896,"594":902,"595":903,"596":904,"597":908,"598":910,"599":912,"600":914,"601":915,"602":916,"603":919,"604":927,"605":929,"606":930,"607":931,"608":934,"609":935,"610":936,"611":940,"612":948,"613":951,"614":961,"615":963,"616":964,"617":966,"618":970,"619":971,"620":972,"621":975,"622":978,"623":979,"624":980,"625":981,"626":985,"627":987,"628":991,"629":995,"630":998,"631":999,"632":1000,"633":1002,"634":1005,"635":1007,"636":1010,"637":1018,"638":1019},[8,13,14,42,54,58,80,84,88,92,94,96,99,101,103,117,121,126,137,139,150,152,154,156,157,170,171,179,180,184,192,196,199,205,209,210,211,212,220,222,232,236,241,244,245,246,253,256,258,266,276,285,295,297,301,306,315,316,320,322,329,333,335,344,355,356,371,386,387,397,400,406,423,425,431,441,445,455,462,467,470,475,480,483,489,491,496,497,498,502,505,506,513,514,519,520,521,529,531,535,536,537,538,541,545,546,548,550,551,552,553,555,565,568,575,576,577,584,587,598,599,600,601,602,604,607,611,619,622,626,631,633,635,637,640,643,648,653,656,660,662,669,671,673,677,678,687,689,690,691,692,694,698,700,701,702,706,710,711,716,717,721,723,726,729,730,732,734,735,738,741,742,748,752,760,762,770,771,772,773,776,779,780,781,784,787,793,797,805,807,808,809,812,813,816,817,818,819,821,823,824,826,829,830,833,836,839,844,845,849,860,862,865,866,867,868,869,871,873,875,876,882,884,887,889,890,893,894,899,901,906,909,911,913,917,918,922,924,925,926,928,932,933,941,943,944,945,946,949,952,953,954,955,956,957,958,960,965,967,968,969,973,974,982,983,990,992,994,996,997,1001,1003,1004,1006,1008,1012,1014,1015,1017,1020,1022],[0,11,27,71,204,277,360,363,452,526,560,569,574,579,580,590,591,593,597,618,623,627,636,638,644,657,663,664,666,668,675,676,685,719,722,725,733,739,744,745,751,755,756,757,763,775,786,789,796,820,831,837,838,840,846,848,859,872,888,897,898,900,905,907,920,921,923,937,938,939,942,947,959,976,977,986,988,1009,1011,1013,1016,1021,1023],[512,581,586,684,720,724,746,769,804,814,827,855,883,950,962,984,989,993],[646,753],[683]]