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