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