Problem:
Score : 200 points

Problem Statement

Snuke loves working out. He is now exercising N times.

Before he starts exercising, his power is 1. After he exercises for the i-th time, his power gets multiplied by i.

Find Snuke's power after he exercises N times. Since the answer can be extremely large, print the answer modulo 10^{9}+7.

Constraints

1 ≤ N ≤ 10^{5}

Input

The input is given from Standard Input in the following format:

N

Output

Print the answer modulo 10^{9}+7.

Sample Input 1

3

Sample Output 1

6

After Snuke exercises for the first time, his power gets multiplied by 1 and becomes 1.

After Snuke exercises for the second time, his power gets multiplied by 2 and becomes 2.

After Snuke exercises for the third time, his power gets multiplied by 3 and becomes 6.

Sample Input 2

10

Sample Output 2

3628800

Sample Input 3

100000

Sample Output 3

457992974

Print the answer modulo 10^{9}+7.

Solution in Pascal (FPC 2.6.2) (judge verdict: Accepted)

const js:array[0..5000]of longint=(1,48282571,85018218,608209706,100113432,169466058,704909939,727978586,815498688,340143996,164112089,907909364,931729941,306074251,898261456,129542707,971144241,236989405,754874400,280190822,483156199,542154235,871518173,62285128,372909378,307058638,998079747,376672519,913088303,675965676,688647461,41434123,750147110,466902215,819785944,999742733,138631388,460737148,139086503,797822079,228824085,329122419,572393076,143168899,771324102,954757381,190231791,58747640,978539490,305803987,95569611,996014970,527091913,109549012,162001842,133665506,58320353,637043892,424500564,632686688,309445193,214543261,213261601,832962386,817480494,756704926,69104544,428399312,936412106,835312860,26823131,207282278,305850593,668960545,738933305,396571283,822202086,719999837,598565094,9379872,819041090,929426699,2241723,92819711,477925950,668967079,443050596,701647868,117000509,814473779,61736181,573227332,169579974,118746174,460159882,10412767,807527919,176746763,312953980,433545709,865674075,211798050,651698240,96760674,556448436,569684351,786893972,243307017,54599279,506089135,139246482,534834372,207345977,641728687,967394652,884651254,152402741,130397096,32220687,816100565,289391112,733522350,936368740,472375329,265186708,781513186,506969688,830410175,364371943,928822918,600576274,805403162,165878959,528683244,134293992,578804200,674974647,616820052,399156704,542388361,199662135,939887615,515652878,755902245,48867657,365668266,367434024,628201081,807663513,415324433,986433875,995159020,259394544,295631361,432652737,407465965,297535374,279326810,218437145,399941841,968609657,517008131,657468327,84399348,862906218,707916071,791888781,439356928,113037504,797740359,90174576,576809857,568669945,591258991,279786258,601889329,638181539,244700748,658768517,832605925,875522180,627864323,431037411,463205669,107726967,712412963,136427322,116578178,597385300,655899199,310873995,647935500,693858641,170400646,136304532,344637513,569586759,875695511,966169382,718825342,616964754,950756496,827748627,481203729,928594957,937653059,614250662,419226342,652443066,90139822,726417621,874970796,538174881,628047345,987244016,57235327,916148979,371877313,481614924,50836654,613059849,211409364,240717753,901178399,276109642,10432206,605079516,570686298,427088708,687749674,180435040,982797996,969255897,754405774,742308070,162324891,49188669,243630008,491651778,561387885,741665090,870082597,932152586,549075673,470433326,773800395,322706792,374609057,988566995,105165925,390832290,531147514,769221867,248302008,167595951,271594025,487837166,995884721,321717561,434888572,20689194,292555136,314744379,98672728,43458026,943001446,182688361,626960167,639655560,562152683,943801301,789540103,147036896,615191984,212855869,994482434,562616956,270056834,712478107,588940377,81013035,553493126,644958445,882799312,119195245,689013336,929946684,866736596,615834315,515756999,236377561,51007455,650960372,121897393,488147141,498517813,481423615,765875630,938255541,92205661,164121892,471845330,487698674,137419238,368517997,796689169,564646606,963312343,309300907,783100868,339732605,240952681,253872283,77007986,942192030,902431724,109790650,276173721,71106818,41565739,264686444,527843517,102039972,925991005,532562501,247432452,866838344,753959940,131471414,109987391,885674343,766075224,559222371,73801188,400902978,222690803,40553872,900156769,679825413,636492574,460659340,335977444,580049492,583575412,637397977,776362520,456794090,481003012,709123473,693173994,456973011,223936121,588370062,492914038,934938271,968739694,569356366,70636675,217230886,251135328,41281430,536056295,234647112,240235811,32446216,418042748,779012511,932378892,509799863,734527888,599336038,618072433,924695537,759174277,423135189,702077613,714767144,296905764,606587928,981246566,179234278,833557087,875898827,687249390,62436887,328327195,482234558,166395229,437001029,12682734,580910126,869366609,890816013,887047925,298612697,406955880,939818429,394356716,706736983,533344188,193238332,885944924,869069330,1551055,241285992,518001116,9367868,429609907,232960552,871285323,712716710,563889589,978810890,265859727,235941793,318653980,51666617,356144550,336618926,914525198,740453935,112955355,905231915,369832201,488064177,820207382,975992497,812385532,828411253,910862618,734382178,491901128,736600012,460875457,359423053,15166631,866186305,597449850,106647565,454195764,812110934,223708246,266024367,77244150,523813865,454164263,832455292,255838084,170960622,921167494,496332543,890986905,804354873,64488468,183966706,769493456,315880727,91421716,887866920,755483214,1260415,676723634,908457511,52428744,134172210,95854044,641181705,857905589,812952563,222611214,14804494,589457690,633028524,329260344,254845189,344481535,761399715,466055676,697904602,3516171,192426671,640027923,755538657,544001940,683821071,712521033,334769644,374093474,968979008,787317645,866960421,868938731,3808942,884841460,567291274,191845083,368427091,84455280,716743858,450303368,670492106,683759123,464398584,440142720,787909565,203315269,1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      t=maxlongint div 5000;
var n,i,s:longint;
begin
  readln(n);
  s:=js[n div t];
  for i:=n div t*t+1 to n do
    s:=(s*i) mod 1000000007;
  writeln(s);
end.