F - N!Again

Description

WhereIsHeroFrom:             Zty, what are you doing ?
Zty:                                     I want to calculate N!......
WhereIsHeroFrom:             So easy! How big N is ?
Zty:                                    1 <=N <=1000000000000000000000000000000000000000000000…
WhereIsHeroFrom:             Oh! You must be crazy! Are you Fa Shao?
Zty:                                     No. I haven's finished my saying. I just said I want to calculate N! mod 2009


Hint : 0! = 1, N! = N*(N-1)!

Input

Each line will contain one integer N(0 <= N<=10^9). Process to end of file.

Output

For each case, output N! mod 2009

Sample Input

4 
5

Sample Output

24

120

分析:

光是用同余定理还不行,n太大,所以结合同余定理和规律;

代码:

#include<cstdio> int main() {long long n,i; int mod=2009; while(scanf("%lld",&n)!=EOF) {long long sum=1; if(n<=50) for(i=1;i<=n;i++) sum=sum%mod*i%mod; else sum=0; printf("%lld\n",sum); } return 0; }

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