Sicily 14256. Pseudo Semiprime

Constraints

Time Limit: 1 secs, Memory Limit: 256 MB

Description

In number theory, a positive integer is a semiprime if it is the product of two primes. For example, 35 is a semiprime because 35 = 5 * 7, and both 5 and 7 are primes. A positive integer x is a pseudo semiprime if there is two integers a and b such that a > 1, b > 1, a * b = x, and the greatest common divisor of a and b is 1.

Given an integer x, your task is to find out whether it is a pseudo semiprime.

Input

The input begins with a line containing an integer T (T<=100), which indicates the number of test cases. The following T lines each contain an integer x (1<=x<=1000000000).

Output

For each case, output YES if x is a pseudo semiprime; otherwise output NO.

Sample Input

415810

Sample Output

NONONOYES

Problem Source

SYSUCPC 2014 Preliminary (Online) Round

#include 
#include 

int gcd(int a, int b) {
	int temp;
	while (b) {
		temp = a % b;
		a = b;
		b = temp;
	}
	return a;
}

int main() {

	int caseNum;
	scanf("%d", &caseNum);
	while (caseNum--) {
		bool isOK = false;
		int x;
		scanf("%d", &x);
		for (int i = 2; i * i <= x; i++) {
			if (x % i == 0) {
				if (gcd(i, x / i) == 1) {
					printf("YES\n");
					isOK = true;
					break;
				}
			}
		}
		if (!isOK) printf("NO\n");
	}

	return 0;
}