HDU 5187 zhx's contest(快速幂乘法)

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题意:

经过一番推导之后,简单来说就是求2^n - 2的值,要用到快速乘法。

#include<iostream>
#include<cstdio>
#include<algorithm>
#include<cmath>
#include<queue>
#include<cstring>
using namespace std;
#define ll long long

ll powmul(ll a, ll b, ll c){
	ll ans = 0;
	a = a % c;
	while(b > 0){
		if(b % 2) ans = (ans + a)% c;
		b = b / 2;
		a = (a * 2) % c; 
	}
	return ans;	
}

ll powmod(ll a,ll b,ll c){
	ll ans=1;
	a = a % c;
	while(b>0){
		if(b%2) ans = powmul(ans, a, c);//不用快速乘法的话,ll会数据溢出 
		b = b/2;
		a = powmul(a, a, c);//同上 
	}
 
	return ans;	
} 
int main(){
	ll n,p;
	while(scanf("%I64d%I64d",&n,&p)!=EOF){
		ll te = 2 % p;
		if(n == 1) printf("%I64d\n",n%p);
		else printf("%I64d\n",(powmod(2,n,p)+p-te) % p);//注意不能取余之后相减 
	}
	return 0;
}


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