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;

class Main{
	public static void Triangle(int[] data){
		int a,b,c,d,e,f;
		a=(int)Math.pow(data[0],2);
		b=(int)Math.pow(data[1],2);
		c=(int)Math.pow(data[2],2);
		d=(int)Math.sqrt(a+b);
		e=(int)Math.sqrt(a+c);
		f=(int)Math.sqrt(b+c);
		if(d==data[2]){
			System.out.printf("YES\n");
		}
		else if(e==data[1]){
			System.out.printf("YES\n");
		}
		else if(f==data[0]){
			System.out.printf("YES\n");
		}
		else{
			System.out.printf("NO\n");
		}
	}
	
	public static void main(String[] args) throws IOException{
		BufferedReader in=new BufferedReader(new InputStreamReader(System.in));
		String str[]=new String[3];
		int N,i;
		int Line[]=new int[3];
		i=1;
		N=Integer.parseInt(in.readLine());
		String inputstr;
		while(i<=N){
			inputstr=in.readLine();
			str=inputstr.split(" ",0);
			for(int j=0;j<=2;j++){
				Line[j]=Integer.parseInt(str[j]);
			}
			Triangle(Line);
			i++;
		}
	}
}