http://120.78.162.102/problem.php?cid=1432&pid=11
http://120.78.162.102/problem.php?id=6249
题解:
参考文章:
https://blog.csdn.net/arrowlll/article/details/52629448
https://blog.csdn.net/weixin_43272781/article/details/85311412
快速幂+快速组合数
/*
*@Author: STZG
*@Language: C++
*/
#include <bits/stdc++.h>
#include<iostream>
#include<algorithm>
#include<cstdlib>
#include<cstring>
#include<cstdio>
#include<string>
#include<vector>
#include<bitset>
#include<queue>
#include<deque>
#include<stack>
#include<cmath>
#include<list>
#include<map>
#include<set>
//#define DEBUG
#define RI register int
using namespace std;
typedef long long ll;
typedef __int128 lll;
const int N=50000+10;
const lll MOD=(1ll<<61)-1;
const double PI = acos(-1.0);
const double EXP = 1E-8;
const int INF = 0x3f3f3f3f;
lll Jc[N];
void print(lll x){
if(x==0)
return;
print(x/10);
int tmp=x%10;
printf("%d",tmp);
}
void calJc(){ //求maxn以内的数的阶乘
Jc[0] = Jc[1] = 1;
for(lll i = 2; i < N; i++){
Jc[i] = Jc[i - 1] * i %MOD;
}
}
lll PowerMod(lll a, lll b,lll c){
lll ans = 1;
a = a % c;
while(b>0){
if(b % 2 == 1)
ans = (ans * a) % c;
b >>= 1;
a = (a * a) % c;
}
return ans;
}
lll niYuan(lll a, lll b){ //费马小定理求逆元
return PowerMod(a, b - 2, b);
}
lll C(ll a, ll b){ //计算C(a, b)
return Jc[a] * niYuan(Jc[b]*Jc[a - b]% MOD, MOD) % MOD;
}
int main()
{
#ifdef DEBUG
freopen("input.in", "r", stdin);
//freopen("output.out", "w", stdout);
#endif
calJc();
int k,p,q,a,b;
while(scanf("%d%d%d%d%d",&p,&q,&k,&a,&b)!=EOF){
print((C(k, a)*(PowerMod(p,a,MOD)*PowerMod(q,b,MOD)%MOD))%MOD);
printf("\n");
}
//cout << "Hello world!" << endl;
return 0;
}