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