LightOJ1259 Goldbach`s Conjecture

题面

T组询问，每组询问是一个偶数n

验证哥德巴赫猜想

回答n=a+b

且a，b(a<=b)是质数的方案个数

Input

Input starts with an integer T (≤ 300), denoting the number of test cases.

Each case starts with a line containing an integer n (4 ≤ n ≤ 107, n is even).

Sol

垃圾题，枚举质数就好

# include <bits/stdc++.h>
# define RG register
# define IL inline
# define Fill(a, b) memset(a, b, sizeof(a))
using namespace std;
typedef long long ll;
const int __(1e7 + 10);

IL ll Read(){
	char c = '%'; ll x = 0, z = 1;
	for(; c > '9' || c < '0'; c = getchar()) if(c == '-') z = -1;
	for(; c >= '0' && c <= '9'; c = getchar()) x = x * 10 + c - '0';
	return x * z;
}

int prime[__ / 10], num, n, ans;
bool isprime[__];

IL void Prepare(){
	isprime[1] = 1;
	for(RG int i = 2; i <= __; ++i){
		if(!isprime[i]) prime[++num] = i;
		for(RG int j = 1; j <= num && i * prime[j] <= __; ++j){
			isprime[i * prime[j]] = 1;
			if(!(i % prime[j])) break;
		}
	}
}

int main(RG int argc, RG char *argv[]){
	Prepare();
	for(RG int T = Read(), Case = 1; Case <= T; ++Case){
		n = Read(); ans = 0;
		for(RG int i = 1; i <= num && prime[i] + prime[i] <= n; ++i) ans += !isprime[n - prime[i]];
		printf("Case %d: %d\n", Case, ans);
	}
	return 0;
}