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費馬小定理降冪

題目

Sample Input

2

Sample Output

2

Hint

1. For N = 2, S(1) = S(2) = 1. 2. The input file consists of multiple test cases.

#include<stdio.h>
#include<string.h>
typedef long long ll;
const int mod=1e9+7;
const int maxn=1e5+5;
char str[maxn];
ll q_pow(ll a,ll b)
{
	ll ans=1;
	while(b)
	{
		if(b&1)
		{
			ans=ans*a%mod;
		}
		a=a*a%mod;
		b=b>>1;
	}
		return ans;
}
int main()
{
	while(scanf("%s",str)!=EOF)
	{
		
		ll s=0;
	    for(int i=0;i<strlen(str);i++)
		{
			s=(s*10+str[i]-'0')%(mod-1);
	    }
		ll rel;
		rel=q_pow(2,s-1);
		printf("%lld\n",rel);	
		
    }

	return 0;
}