[{"0":0,"1":1,"2":2,"3":3,"4":4,"5":5,"6":6,"7":8,"8":9,"9":10,"10":12,"11":14,"12":15,"13":16,"14":17,"15":18,"16":20,"17":21,"18":23,"19":24,"20":25,"21":26,"22":27,"23":28,"24":29,"25":33,"26":34,"27":35,"28":36,"29":37,"30":38,"31":39,"32":40,"33":41,"34":43,"35":44,"36":45,"37":46,"38":47,"39":48,"40":49,"41":50,"42":52,"43":53,"44":54,"45":56,"46":58,"47":60,"48":61,"49":62,"50":65,"51":67,"52":68,"53":69,"54":71,"55":72,"56":73,"57":76,"58":77,"59":78,"60":79,"61":80,"62":83,"63":84,"64":85,"65":86,"66":89,"67":90,"68":91,"69":92,"70":93,"71":94,"72":95,"73":96,"74":97,"75":98,"76":100,"77":102,"78":103,"79":105,"80":144,"81":145,"83":148,"84":150,"85":151,"86":154,"87":155,"88":156,"89":157,"90":158,"91":159,"92":160,"93":161,"94":163,"95":166,"96":168,"97":171,"98":172,"99":173,"100":174,"101":175,"102":176,"103":178,"104":179,"105":180,"106":181,"107":182,"108":183,"109":184,"110":185,"111":186,"112":187,"113":188,"114":189,"115":191,"116":192,"117":193,"118":195,"119":196,"120":202,"121":203,"122":204,"123":205,"124":206,"125":208,"126":209,"127":210,"128":211,"129":214,"130":215,"131":216,"132":217,"133":219,"134":220,"135":221,"136":223,"137":225,"138":226,"139":228,"140":229,"141":231,"142":234,"143":235,"144":236,"145":238,"146":239,"147":240,"148":241,"149":242,"150":245,"151":246,"152":247,"153":248,"154":249,"155":252,"156":296,"157":303,"158":306,"159":308,"160":309,"161":313,"162":315,"163":317,"164":322,"165":323,"166":325,"167":328,"168":330,"169":335,"170":338,"171":339,"172":342,"173":345,"174":347,"175":351,"176":362,"177":366,"178":367,"179":370,"180":375,"181":376,"182":377,"183":379,"184":382,"185":386,"186":389,"187":402,"188":404,"189":407,"190":409,"191":412,"192":419,"193":422,"194":423,"195":434,"196":435,"197":437,"198":439,"199":442,"200":452,"201":453,"202":455,"203":462,"204":464,"205":472,"206":473,"207":475,"208":476,"209":479,"210":482,"211":484,"212":486,"213":488,"214":491,"215":498,"216":502,"217":503,"218":506,"219":508,"220":514,"221":520,"222":525,"223":526,"224":531,"225":541,"226":543,"227":545,"228":552,"229":554,"230":558,"231":559,"232":560,"233":561,"234":565,"235":574},[7,11,13,19,22,30,32,42,51,55,57,59,63,64,66,70,74,75,81,87,99,101,104,109,110,113,114,116,118,119,122,124,125,126,127,128,130,133,140,142,143,147,149,153,164,167,177,194,197,198,199,200,201,207,218,222,224,233,237,243,244,250,251,253,255,256,257,258,259,260,265,266,267,268,269,270,271,273,274,279,283,284,285,287,295,297,298,300,304,307,310,312,318,321,329,331,336,340,348,353,355,356,363,364,368,372,373,383,388,405,408,418,421,424,427,433,448,450,458,460,461,468,474,478,485,504,505,510,512,513,517,519,523,527,528,530,532,534,535,544,549,550,563,575],[31,82,88,106,107,108,111,112,120,121,132,134,135,136,138,141,152,162,165,170,190,212,213,227,230,232,254,262,263,272,276,277,278,280,286,288,289,302,320,334,341,346,350,352,354,359,360,384,387,392,394,399,413,417,429,430,436,438,440,457,467,481,483,487,492,497,499,500,509,516,521,522,539,547,548,555,567,570,572],[115,117,123,129,131,137,169,261,264,275,281,282,294,299,305,314,319,327,332,337,349,357,378,380,381,390,395,397,401,416,425,445,447,465,469,477,493,496,511,524,533,536,546,564,573],[292,293,311,316,369,371,391,393,396,398,400,403,411,432,444,449,451,456,463,471,480,501,507,518,529,537,562],[139,291,326,333,358,361,365,406,415,420,428,441,454,459,470,490,495,515,542,551,553,556,557,569],[290,324,343,344,374,410,431,443,446,466,538,540,566,568,571],[301,414,426,489,494],[385]]