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