H1N1's Problem(费马小定理+快速幂)

H1N1 like to solve acm problems.But they are very busy, one day they meet a problem. Given three intergers a,b,c, the task is to compute a^(b^c))%317000011. 1412, ziyuan and qu317058542 don't have time to solve it, so the turn to you for help.

 

输入

 

The first line contains an integer T which stands for the number of test cases. Each case consists of three integer a, b, c seperated by a space in a single line. 1 <= a,b,c <= 100000

 

输出

 

For each case, print a^(b^c)%317000011 in a single line.

 

1  a^b mod p 在b很大的时候可以先用b = b % (p-1)

2  a^(b^c) % p = a^( (b^c)%(p-1) )%p

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll Mod=317000011;
ll t,a,b,c;

ll Count(ll n,ll m,ll mod){
    ll res=1;
    n%=mod;
    while(m){
        if(m&1) res=res*n%mod;
        m>>=1;
        n=n%mod*n%mod;
    }
    return res%mod;
}
int main()
{
    ios::sync_with_stdio(false);
    cin>>t;
    while(t--){
        cin>>a>>b>>c;
        cout << Count(a,Count(b,c,Mod-1),Mod) << endl;
    }
    return 0;
}