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