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