[[2,3,5,6,7,9,10,11,14,15,17,18,19,20,22,24,25,27,33,34,35,36,37,39,40,41,42,43,44,45,46,47,48,51,52,54,55,57,58,59,62,63,64,65,67,68,69,70,73,74,75,77,78,81,82,83,84,85,86,87,88,89,91,94,95,96,97,99,101,102,103,104,106,107,108,109,110,111,112,114,115,116,118,119,120,121,123,124,125,128,256,257,258,259,260,261,263,264,265,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,286,287,288,289,290,291,292,293,295,297,299,301,302,303,304,306,307,308,309,310,311,312,313,314,315,316,318,319,320,321,322,323,325,327,328,331,334,335,337,339,340,342,344,345,346,347,348,349,351,353,354,355,357,358,359,360,361,362,363,366,368,370,371,375,377,378,379,380,381,382,383,384,520,545,557,585,587,598,604,609,612,616,637,641,645,646,648,651,652,661,663,668,670,681,691,697,698,699,712,715,722,737,738,741,746,761,763,767,770,773,774,775,776,783,784,785,792,794,812,825,832,839,840,851,859,862,876,884,886,891,893,903,915,918,932,936,937,948,959,965,969,982,985,988,998,1019,1023],{"0":0,"1":1,"2":4,"3":8,"4":12,"5":13,"6":16,"7":21,"8":23,"9":26,"10":28,"11":30,"12":31,"13":32,"14":38,"15":49,"16":50,"17":53,"18":56,"19":61,"20":66,"21":71,"22":72,"23":76,"24":79,"25":90,"26":92,"27":93,"28":98,"29":100,"30":105,"31":113,"32":122,"33":126,"34":130,"35":132,"36":133,"37":134,"38":136,"39":137,"40":140,"41":141,"42":142,"43":143,"44":147,"45":148,"46":149,"47":153,"48":154,"49":155,"50":156,"51":157,"52":158,"53":159,"54":160,"55":161,"56":164,"57":165,"58":167,"59":171,"60":172,"61":174,"62":177,"63":178,"64":179,"65":180,"66":181,"67":182,"68":185,"69":187,"70":189,"71":190,"72":192,"73":193,"74":194,"75":196,"76":197,"77":198,"78":199,"79":201,"80":202,"81":204,"82":205,"83":206,"84":207,"85":208,"86":209,"87":210,"88":211,"89":212,"90":213,"91":215,"92":216,"93":219,"94":220,"95":221,"96":222,"97":223,"98":228,"99":229,"100":231,"101":235,"102":237,"103":239,"104":240,"105":242,"106":244,"107":245,"108":247,"109":248,"110":249,"111":250,"112":252,"113":253,"114":262,"115":284,"116":285,"117":294,"118":296,"119":298,"120":300,"121":305,"122":324,"123":326,"124":329,"125":330,"126":333,"127":338,"128":341,"129":343,"130":350,"131":365,"132":369,"133":373,"134":374,"135":385,"136":387,"137":388,"138":389,"139":390,"140":392,"141":394,"142":395,"143":398,"144":399,"145":400,"146":402,"147":403,"148":404,"149":405,"150":408,"151":409,"152":411,"153":412,"154":413,"155":414,"157":416,"158":417,"159":418,"161":421,"162":422,"163":423,"164":425,"165":428,"166":435,"167":438,"168":439,"169":440,"170":441,"171":443,"172":444,"173":445,"174":446,"175":448,"176":449,"177":450,"178":451,"179":452,"180":453,"181":454,"182":457,"183":458,"184":459,"185":463,"186":464,"187":465,"188":466,"189":467,"190":468,"191":469,"193":472,"194":473,"195":474,"196":475,"197":476,"198":478,"199":479,"200":480,"201":481,"202":482,"203":484,"204":486,"205":487,"206":488,"207":489,"208":492,"209":495,"210":496,"211":498,"212":499,"213":500,"214":501,"215":502,"216":503,"217":504,"218":505,"219":506,"220":509,"221":510,"222":511,"223":516,"224":525,"225":529,"226":540,"227":542,"228":546,"229":548,"230":554,"231":562,"232":564,"233":566,"234":568,"235":573,"236":576,"237":594,"238":597,"239":601,"240":606,"241":627,"242":630,"243":632,"244":640,"245":653,"246":655,"247":656,"248":677,"249":682,"250":694,"251":695,"252":702,"253":703,"254":706,"255":707,"256":709,"257":710,"258":714,"259":719,"260":723,"261":725,"262":733,"263":734,"264":739,"265":740,"266":743,"267":745,"268":754,"269":759,"270":760,"271":762,"272":764,"273":766,"274":769,"275":778,"276":781,"277":788,"278":789,"279":791,"280":796,"281":800,"282":805,"283":808,"284":815,"285":821,"286":828,"287":834,"288":837,"289":842,"290":844,"291":870,"292":871,"293":885,"294":890,"295":895,"296":896,"297":899,"298":904,"299":907,"300":909,"301":921,"302":926,"303":929,"304":942,"305":951,"306":956,"307":962,"308":970,"309":977,"310":979,"311":987,"312":1001,"313":1013},[29,60,80,117,127,131,135,138,139,144,146,150,151,163,166,168,175,183,188,191,195,200,203,214,218,224,226,227,230,232,233,234,236,241,243,251,255,266,267,317,336,352,356,364,367,372,376,391,393,401,407,419,424,427,429,430,431,432,433,442,455,456,460,461,462,470,477,485,490,491,493,497,508,518,521,526,537,544,547,549,550,561,563,570,572,577,580,582,590,591,596,608,611,613,617,628,631,635,642,662,669,674,676,684,690,692,696,718,721,728,732,752,793,798,806,809,810,816,817,818,827,831,836,845,848,850,854,860,869,873,887,892,894,898,905,910,912,913,917,920,923,924,927,928,933,941,945,947,949,952,954,961,966,967,973,991,995,1005],[129,145,152,169,170,173,176,184,186,217,225,238,246,254,332,386,396,397,406,434,436,437,447,483,507,514,524,527,528,534,543,551,558,559,574,578,584,592,593,595,605,629,634,643,650,671,672,673,680,693,708,711,716,727,744,748,749,756,765,780,813,822,824,849,861,864,875,877,901,902,930,935,940,943,946,958,978,980,993,1002,1003,1009,1016],[162,426,531,533,538,541,552,555,565,567,583,586,624,626,636,644,654,657,665,675,683,686,713,731,751,753,755,757,768,782,786,795,799,801,802,823,829,830,846,852,853,855,857,865,878,880,916,922,931,986,989,992,994,1000,1014,1018,1020],[410,494,515,532,539,553,556,571,581,603,607,610,623,639,649,658,667,678,687,688,700,701,726,730,747,750,772,777,814,819,841,867,872,874,882,900,939,944,953,963,974,999,1015,1017],{"0":512,"1":519,"2":530,"3":575,"4":588,"5":589,"7":618,"8":625,"10":660,"11":685,"12":689,"13":724,"14":735,"15":742,"16":771,"17":868,"18":881,"19":883,"20":889,"21":955,"22":964,"23":975,"24":983,"25":990,"26":996,"27":1007,"28":1010,"29":1011},[513,536,619,638,666,679,704,729,736,803,807,863,866,879,911,934,938,968,976,1004,1006,1021],[523,579,614,615,779,787,797,811,826,838,847,856,957,1008,1012],{"1":621,"2":717,"3":790,"4":804,"5":897,"6":908,"7":950,"8":972,"9":984,"10":997},[517,535,560,602,622,659,664,705,758,820,914,981],[569,720,833,858,971,1022],{"0":522,"1":620,"2":633,"3":835,"4":888,"5":919,"7":960},[843,906]]