[[1,2,3,4,5,6,7,10,13,14,15,17,18,19,21,22,23,24,26,27,28,29,30,32,34,35,36,37,39,42,43,46,47,48,49,55,60,61,256,257,258,259,260,261,262,263,265,266,267,268,269,270,271,272,273,274,276,277,278,279,280,281,282,283,286,288,291,295,296,297,298,300,301,302,305,306,307,311,312,313,316,317,318,513,516,533,544,552,588,594,595,598,602,604,608,610,614,643,649,654,660,663,665,673,676,683,685,688,692,703,707,711,734,735,742,747,776,779,780,784,786,789,790,802,813,821,824,828,834,840,846,850,854,858,860,880,887,893,904,911,923,924,934,939,946,947,948,950,959,960,966,974,976,989,994,999,1012,1016,1020],{"0":8,"1":9,"2":11,"3":12,"4":16,"5":25,"6":33,"7":40,"8":41,"9":44,"10":45,"11":50,"12":51,"13":52,"14":54,"15":56,"16":59,"17":63,"18":64,"19":65,"20":70,"21":71,"22":72,"23":74,"24":75,"26":79,"27":81,"28":83,"29":88,"30":90,"31":95,"32":97,"33":100,"34":101,"35":104,"36":105,"37":108,"38":110,"39":114,"40":116,"41":123,"42":125,"43":128,"44":130,"45":131,"46":133,"47":135,"48":137,"49":264,"50":284,"51":289,"52":290,"53":293,"54":304,"55":308,"56":309,"57":315,"58":322,"59":324,"60":325,"61":326,"62":328,"63":331,"64":332,"66":338,"67":341,"68":342,"69":343,"70":344,"71":346,"72":348,"73":350,"74":352,"75":354,"76":357,"77":358,"78":360,"79":361,"80":363,"81":374,"82":377,"83":381,"84":382,"85":383,"86":385,"87":386,"88":388,"89":389,"90":390,"91":392,"92":394,"93":514,"94":515,"95":521,"96":531,"97":535,"98":538,"99":541,"100":543,"101":549,"102":550,"103":562,"104":566,"105":569,"106":585,"107":589,"108":599,"109":603,"110":625,"111":636,"112":645,"113":658,"114":661,"115":666,"116":667,"117":670,"118":679,"119":684,"120":696,"121":700,"122":722,"123":741,"124":744,"125":763,"126":766,"127":772,"128":773,"129":782,"130":783,"131":800,"132":820,"133":826,"134":842,"135":843,"136":856,"137":865,"138":878,"139":881,"140":885,"141":891,"142":899,"143":916,"144":922,"145":925,"146":927,"147":931,"148":952,"149":954,"150":958,"151":961,"152":967,"153":971,"154":973,"155":978,"156":982,"157":985,"158":993,"159":1001},{"0":0,"1":20,"2":38,"3":53,"4":58,"5":62,"6":66,"7":69,"8":73,"9":78,"10":80,"11":82,"12":86,"13":92,"14":93,"15":96,"16":98,"17":102,"18":107,"19":112,"20":115,"21":118,"22":119,"23":120,"24":121,"25":124,"26":126,"27":127,"28":132,"29":134,"30":139,"31":142,"32":143,"33":150,"34":151,"35":152,"36":156,"37":157,"38":158,"39":159,"40":162,"41":166,"42":167,"43":169,"44":170,"45":171,"46":174,"47":178,"49":181,"51":184,"52":185,"53":186,"54":193,"55":194,"56":199,"57":203,"58":205,"59":207,"60":209,"61":211,"62":285,"63":287,"64":292,"65":294,"66":299,"67":303,"68":314,"69":319,"70":323,"71":327,"72":329,"73":330,"74":334,"75":335,"76":337,"77":340,"78":345,"79":347,"80":349,"81":351,"82":353,"83":359,"84":364,"85":366,"86":367,"87":369,"88":372,"89":373,"90":375,"91":376,"92":378,"93":380,"94":387,"95":391,"96":396,"97":397,"98":399,"99":400,"100":402,"101":407,"102":408,"103":409,"104":413,"105":414,"106":415,"107":419,"108":421,"109":423,"110":427,"111":429,"112":434,"113":436,"114":438,"115":441,"116":442,"118":444,"119":446,"120":469,"121":473,"122":522,"123":530,"124":534,"125":536,"126":539,"127":548,"128":553,"129":565,"130":576,"131":578,"132":605,"133":607,"134":612,"135":613,"136":615,"137":617,"138":620,"139":629,"140":638,"141":669,"142":675,"143":701,"144":715,"145":717,"146":718,"147":731,"148":745,"149":754,"150":758,"151":761,"152":791,"153":796,"154":818,"155":825,"156":841,"157":848,"158":849,"159":851,"160":863,"161":872,"162":874,"163":876,"164":886,"165":898,"166":901,"167":902,"168":906,"169":913,"170":920,"171":930,"172":940,"173":943,"174":944,"175":955,"176":962,"177":964,"178":965,"179":972,"180":975,"181":980,"182":984,"183":1014,"184":1019},{"0":31,"1":57,"2":68,"3":84,"4":85,"5":87,"6":89,"7":117,"8":122,"9":129,"10":136,"11":140,"12":144,"13":148,"14":155,"15":165,"16":168,"17":172,"18":176,"19":179,"20":187,"21":188,"22":195,"23":196,"24":201,"25":206,"26":210,"27":214,"28":222,"29":223,"30":230,"31":232,"32":236,"34":242,"35":243,"36":246,"37":248,"38":255,"39":275,"40":310,"41":320,"42":321,"43":336,"44":339,"45":356,"46":362,"47":365,"48":368,"49":370,"50":379,"51":384,"52":395,"53":398,"54":401,"55":403,"56":404,"57":405,"58":406,"59":410,"60":412,"61":417,"62":418,"63":426,"64":435,"65":437,"66":439,"67":440,"68":445,"69":451,"70":454,"71":455,"72":456,"73":458,"74":459,"75":460,"76":461,"77":462,"78":464,"79":465,"80":466,"81":468,"82":470,"83":471,"84":472,"85":489,"86":490,"87":494,"88":497,"89":498,"90":499,"91":500,"92":505,"93":526,"94":537,"95":554,"96":573,"97":574,"98":575,"99":577,"100":579,"101":580,"102":583,"103":584,"104":596,"105":623,"106":628,"107":637,"108":642,"109":644,"110":653,"111":671,"112":672,"113":677,"114":686,"115":691,"116":694,"117":705,"118":706,"119":708,"120":709,"121":712,"122":713,"123":714,"124":719,"125":725,"126":727,"127":736,"128":740,"129":752,"130":755,"131":756,"132":770,"133":792,"134":795,"135":799,"136":804,"137":807,"138":811,"139":853,"140":861,"141":869,"142":873,"143":877,"144":897,"145":915,"146":929,"147":937,"148":963,"149":981,"150":990,"151":996,"152":1006,"153":1018},[67,77,91,94,99,103,106,109,111,113,138,141,145,146,147,154,161,163,164,173,183,189,190,191,197,204,208,212,213,217,221,226,227,228,229,231,233,235,237,238,240,244,252,253,254,355,411,416,422,425,428,430,431,432,433,448,449,450,457,463,467,479,483,484,485,486,487,488,492,493,502,503,517,519,540,551,561,567,581,586,590,591,600,601,609,621,630,639,646,657,664,699,733,738,749,757,759,760,764,768,769,777,794,812,832,838,839,844,847,859,866,868,875,890,908,909,932,945,956,1000,1007,1015,1017],[153,160,175,177,192,200,202,215,216,218,220,224,225,234,245,250,251,371,393,420,424,447,452,453,474,476,477,491,495,501,504,508,510,524,528,529,545,559,568,570,606,611,616,618,652,655,656,668,674,695,698,723,743,771,774,781,803,809,819,829,835,836,896,905,910,917,918,919,921,928,933,969,970,977,986,995,997,1002,1008,1009],[149,198,219,239,247,249,475,478,480,481,482,496,506,507,509,511,512,518,525,527,532,542,546,555,627,659,662,678,687,690,724,732,748,762,765,785,787,793,801,806,837,845,852,857,882,883,889,894,895,938,957,992],[556,558,571,587,632,635,641,648,651,697,702,721,729,753,797,816,817,867,871,907,949,983,988,991,1004,1005,1021,1023],[547,557,563,564,572,624,680,730,798,814,823,855,870,879,888,912,951,953,968,1013],[622,647,720,728,746,750,751,808,815,827,831,833,941,998],[520,626,631,633,681,689,693,704,710,716,739,767,775,822,1011],[582,619,634,726,778,788,810,830,900,935,942,979,1003],[650,884,926,1010],[523,592,593,640,805,892,1022],[597,737,862,914],[560,682,864,903,987],[936]]