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