L=12637843;
N=5000;
M=1000;
D=[2275,2385,2436,4033,4694,6324,7236,7535,9775,9930,12398,13358,13808,14360,14636,16980,18780,20681,20719,21484,22780,24729,25538,27651,28577,30565,31983,32903,35317,36286,38605,41009,41450,43051,43574,44223,44326,46017,47367,47427,49929,51002,51980,52604,53867,54192,55716,57607,57978,58456,60231,62488,63546,63712,66082,67866,69388,71403,73163,74477,76503,78662,80787,81371,82754,85054,86529,88626,89472,89715,89816,90317,90411,92693,94967,96389,97810,98726,98847,98968,100051,102313,104483,106223,108711,110310,111569,113948,116182,116188,117187,119587,122060,123918,126021,126970,129492,131812,133755,135148,135490,137610,138991,140079,140774,142519,143200,145486,147068,148064,149700,151612,152384,153266,155194,157575,158172,159682,160862,160986,162662,164045,164482,166044,167143,169629,170569,170693,172686,172699,173724,175798,177475,178652,180369,180419,181267,181854,182223,183178,185614,188056,189951,191184,191504,192265,194785,195616,197985,198157,200326,201279,203707,204402,205638,206743,208446,210651,211116,213325,214704,215279,217713,218682,220235,221538,222199,224269,225483,226078,228331,229325,231725,233516,234034,234675,235467,235886,238230,238894,239975,241099,242610,243491,244693,246392,248375,250697,251215,251839,254090,255379,256730,257007,259252,260210,262029,262155,263844,266102,267398,269134,270378,272342,273727,275746,277705,279371,280585,280694,281726,282977,284610,285873,288132,289424,290181,291015,292951,293134,294843,297161,298754,298924,301271,303218,305498,307427,308202,308643,310905,312433,313484,314430,316142,318578,319397,321561,323694,325764,327738,328623,330092,332376,332519,333815,336299,336535,337054,337128,339243,341121,342253,343095,345246,345794,346945,349190,349937,351818,352020,353031,355113,356842,357600,359981,361741,362436,362720,364286,365546,365746,366885,368124,368500,369724,372056,373541,373634,374874,374971,375199,377610,378928,381365,382438,383240,383870,384386,385745,387740,389745,390804,392007,392075,392650,394396,396205,397839,399971,400020,402497,403431,404691,406734,409175,410598,412534,414601,417032,417696,419352,421366,423269,424889,426786,428581,430003,430114,430190,432661,432802,434485,436536,438503,439812,442123,443274,443541,445223,447486,448759,449859,451289,451530,453074,454225,454505,455788,457626,459569,460468,460621,461592,464074,465559,466541,467567,468850,471193,472696,472988,473632,473692,476029,476273,478343,479537,481718,483891,485423,487457,489670,492138,494418,496453,498521,498951,501306,502101,503416,504526,506787,506923,509450,509576,511792,513265,513350,515756,516530,517010,517272,517503,517632,519498,521628,522132,524345,525783,526407,526576,527480,529151,529477,529892,532406,532945,535296,536268,537644,539186,539703,540341,540364,542442,543173,545063,545763,546388,548823,550176,550654,552498,552565,553686,555522,556763,557292,557962,558534,559730,561724,564147,566597,568100,569461,571847,572884,573346,575165,576099,576598,578633,579588,580758,582401,583157,585591,586970,587364,587633,589255,590646,591943,592723,593116,594202,595271,596672,598173,599408,600509,602857,604840,605682,606363,606664,607062,607998,609485,611006,612918,614554,616634,616646,619078,619832,621507,623269,623567,624281,626602,626841,628632,630838,632176,632894,633284,635511,635928,638413,639787,641126,642324,642714,644177,646367,646736,647470,648489,648655,651181,653410,653518,654432,655586,657552,658727,659506,660752,662472,663410,663739,664805,666663,668912,671025,671542,674021,674230,676153,678063,678985,680506,682331,683724,685329,687067,688302,689647,692067,694406,696344,698045,699572,701821,702798,704612,706853,709136,709421,711315,712295,713451,714616,716761,718504,719079,720732,721808,723381,724471,724592,726086,726221,728532,730812,733251,733949,734426,736414,738185,739131,739132,740307,741048,742336,744022,746375,746813,748251,750163,751246,753773,754049,755750,755967,756284,758046,759942,760139,762068,762729,764432,765967,767327,767576,768237,769806,770812,771468,771709,772090,772520,772967,774248,774719,776739,778465,780694,781972,783203,783578,784943,786554,787754,788177,790270,792517,793736,796225,796824,797413,798009,799731,800546,801094,801780,801948,802479,803651,804650,806703,808961,810980,813005,814648,816189,816988,819470,820948,821006,823455,824771,825403,826880,829057,829664,832006,833408,834953,836539,837073,837497,838740,840327,842104,844470,846743,848383,849436,850740,852944,855242,855301,855478,856227,858417,858520,860774,860854,861895,863748,865627,867633,868848,869734,872123,872791,874942,875939,877844,879399,879548,881853,882381,884645,885248,885531,888055,888305,889690,891885,893890,894159,896504,897284,897845,899453,899977,901394,901905,903003,903620,904168,906366,907009,908853,910681,911362,913577,915136,916767,917319,919630,921836,922639,922732,923914,926246,927013,929307,931081,931738,933181,933597,934599,936164,936531,938096,938820,939015,939471,940288,941864,942767,945180,946853,948412,949558,950951,953331,953682,954063,954388,95462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