Problem:
Is it a Right Triangle?

Write a program which judges wheather given length of three side form a right triangle. Print "YES" if the given sides (integers) form a right triangle, "NO" if not so.

Input

Input consists of several data sets. In the first line, the number of data set, N is given. Then, N lines follow, each line corresponds to a data set. A data set consists of three integers separated by a single space.

Constraints

1 ≤ length of the side ≤ 1,000

N ≤ 1,000

Output

For each data set, print "YES" or "NO".

Sample Input

3
4 3 5
4 3 6
8 8 8

Output for the Sample Input

YES
NO
NO

Solution in JAVA (judge verdict: Wrong Answer)

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
public class Main {
	public static void main(String[] args)throws IOException {
		BufferedReader br=new BufferedReader (new InputStreamReader(System.in));
		int n,s=0;
		String[] str;
		int[] hen=new int[3];
		n=Integer.parseInt(br.readLine());
		StringBuilder out=new StringBuilder();
		for(int i=0;i<n;i++){
			str=br.readLine().split(" ");
			int max=0;
			for(int j=0;j<3;j++){
				hen[j]=Integer.parseInt(str[j]);
				if(max<hen[j]) max=hen[j];s=j;
			}
			hen[s]=0;
			if(max*max == hen[0]*hen[0]+hen[1]*hen[1]+hen[2]*hen[2]){
				out.append("YES" + "\n");
			}else out.append("NO"+"\n");
		}
		System.out.println(out);
	}
}