[[1,2,4,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,22,23,24,25,26,27,28,29,30,31,32,33,35,36,37,38,39,40,43,44,45,46,47,48,49,50,51,52,53,54,55,57,60,62,65,66,67,69,70,71,72,74,75,76,77,78,79,80,81,82,83,87,89,90,92,93,94,95,96,97,98,99,100,101,103,104,105,106,107,108,109,110,111,112,113,114,115,116,118,120,121,122,124,126,127,129,130,131,132,134,135,136,137,138,139,140,141,143,144,145,147,148,149,154,155,156,161,162,163,164,165,166,167,168,169,170,173,174,175,176,177,256,257,258,259,260,261,263,264,265,266,267,268,269,270,272,273,274,275,277,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,296,297,298,299,300,301,302,303,305,306,307,308,309,310,312,314,315,318,319,320,322,323,324,325,326,327,328,329,330,332,333,334,335,336,337,338,339,340,341,344,345,346,347,348,349,350,351,353,354,356,357,358,359,361,362,363,364,365,366,367,369,371,373,374,376,377,378,379,380,381,382,383,384,388,389,390,391,393,394,395,396,397,398,399,402,403,404,406,407,408,409,410,411,413,414,415,416,417,419,421,423,424,425,429,430,431,433,434,435,513,519,522,524,528,530,535,544,551,554,555,565,568,571,577,581,583,586,590,592,595,596,606,613,614,622,630,631,634,635,639,645,646,647,648,649,677,687,688,702,704,719,723,745,748,753,756,763,767,772,775,777,778,781,792,795,797,803,804,805,825,836,837,840,846,852,855,862,863,866,872,879,881,889,892,894,895,896,897,900,902,919,941,943,953,964,968,972,986,988,990,993,995,996,1005,1012],{"0":0,"1":3,"2":5,"3":21,"4":41,"5":42,"6":56,"7":58,"8":59,"9":61,"10":63,"11":64,"12":68,"13":73,"14":84,"15":85,"16":86,"17":88,"18":91,"19":117,"20":123,"21":125,"22":133,"23":151,"24":152,"25":157,"26":158,"27":159,"28":160,"29":171,"30":179,"31":181,"32":182,"33":186,"34":187,"35":188,"36":189,"37":190,"38":191,"39":192,"40":193,"41":194,"42":195,"43":196,"44":197,"45":198,"46":201,"47":202,"48":203,"49":206,"50":207,"51":208,"52":210,"53":211,"55":213,"56":214,"57":215,"58":216,"59":219,"60":220,"61":222,"62":223,"63":224,"64":225,"65":228,"66":230,"67":231,"68":232,"69":234,"70":235,"71":238,"72":241,"73":242,"74":244,"75":246,"76":248,"77":249,"78":250,"79":251,"80":252,"81":253,"82":254,"83":255,"84":262,"85":271,"86":278,"87":295,"88":304,"89":311,"90":313,"91":316,"92":317,"93":342,"94":343,"95":352,"96":355,"97":360,"98":368,"99":370,"100":372,"101":375,"102":385,"103":387,"104":400,"105":401,"106":405,"107":412,"108":418,"109":420,"110":422,"111":427,"112":428,"113":432,"114":436,"115":437,"116":438,"117":443,"118":444,"119":445,"120":446,"121":447,"122":448,"123":449,"124":450,"125":451,"126":452,"127":453,"128":455,"129":456,"130":457,"131":458,"132":459,"133":460,"134":461,"135":462,"136":464,"137":466,"138":467,"139":468,"140":471,"141":473,"142":476,"143":477,"144":478,"145":481,"146":482,"147":483,"148":484,"149":485,"150":486,"151":487,"152":488,"153":489,"154":490,"155":494,"156":495,"157":496,"158":499,"159":503,"160":504,"161":506,"162":507,"163":508,"164":512,"165":516,"166":520,"167":521,"168":523,"169":527,"170":529,"171":531,"172":532,"173":540,"174":541,"175":558,"176":560,"177":570,"178":572,"179":576,"180":579,"181":585,"182":587,"183":588,"184":593,"185":600,"186":601,"187":602,"188":605,"189":612,"190":615,"191":625,"192":626,"193":636,"194":638,"195":644,"196":656,"197":658,"198":661,"199":663,"200":664,"201":666,"202":667,"203":671,"204":675,"205":678,"206":684,"207":700,"208":701,"209":703,"210":709,"211":712,"212":713,"213":718,"214":724,"215":728,"216":729,"217":737,"218":738,"219":743,"220":750,"221":751,"222":757,"223":758,"224":759,"225":764,"226":776,"227":783,"228":784,"229":787,"230":789,"231":799,"232":808,"233":810,"234":815,"235":817,"236":827,"237":829,"238":833,"239":835,"240":839,"241":842,"242":845,"243":849,"244":853,"245":858,"246":860,"247":864,"248":867,"249":868,"250":870,"251":871,"252":873,"253":875,"254":878,"255":884,"256":890,"257":899,"258":901,"259":903,"260":907,"261":911,"262":913,"263":922,"264":923,"265":928,"266":930,"267":932,"268":936,"269":948,"270":950,"271":954,"272":955,"273":956,"274":960,"275":962,"276":965,"277":976,"278":977,"279":981,"280":982,"281":997,"282":999,"283":1000,"284":1004,"285":1011,"286":1021},[34,102,119,128,142,146,150,153,172,178,183,185,204,209,218,221,226,229,233,236,237,239,240,243,245,247,276,321,331,386,392,426,439,440,441,442,454,463,465,469,470,472,474,475,479,480,491,492,493,497,498,500,501,502,505,509,510,511,515,533,537,539,543,546,549,556,557,563,573,574,584,594,617,618,621,623,627,629,632,641,653,659,665,668,679,689,693,695,699,707,708,722,726,754,755,770,779,780,782,793,794,798,800,801,806,812,821,826,828,832,838,841,851,859,880,882,885,891,904,908,912,914,921,931,939,940,946,958,963,971,974,980,989,1022,1023],[180,184,199,200,205,217,227,514,526,545,548,550,559,591,620,633,643,650,655,660,676,683,715,725,730,734,739,741,742,774,785,791,796,813,830,844,847,850,856,877,905,906,909,915,924,925,929,934,937,947,957,973,978,1006,1013],[517,518,534,538,552,561,566,567,604,607,610,628,651,654,662,670,681,733,735,736,744,788,816,818,874,876,887,918,927,961,984,987,1003,1019],[542,569,597,599,619,673,682,697,720,721,740,747,823,824,831,861,898,916,917,942,949,979,991,994,1014,1015],[525,598,608,637,685,696,698,710,716,717,760,765,766,769,790,811,814,819,869,933,944,970,983,1001,1016],[553,672,706,714,731,802,807,843,857,865,886,938,951,969,975,1007,1018],[578,657,732,746,749,762,768,820,883,893,935,952,967,985,992],[562,564,575,580,609,624,640,642,680,686,691,705,773,786,822,848,854,1008],[547,582,603,611,652,692,752,809,920,945,959,998,1009,1017],[616,674,727,910,926,966,1020],[589,711,888,1002],[690,761,1010],[536,694,771],[669,834]]