Problem: You are given three positive (i.e. strictly greater than zero) integers x, y and z.

Your task is to find positive integers a, b and c such that x = max(a, b), y = max(a, c) and z = max(b, c), or determine that it is impossible to find such a, b and c.

You have to answer t independent test cases. Print required a, b and c in any (arbitrary) order.

Input

The first line of the input contains one integer t (1 ≤ t ≤ 2 ⋅ 10^4) — the number of test cases. Then t test cases follow.

The only line of the test case contains three integers x, y, and z (1 ≤ x, y, z ≤ 10^9).

Output

For each test case, print the answer:

  * "NO" in the only line of the output if a solution doesn't exist; 
  * or "YES" in the first line and any valid triple of positive integers a, b and c (1 ≤ a, b, c ≤ 10^9) in the second line. You can print a, b and c in any order. 

Example

Input


5
3 2 3
100 100 100
50 49 49
10 30 20
1 1000000000 1000000000


Output


YES
3 2 1
YES
100 100 100
NO
NO
YES
1 1 1000000000

Solution (in JAVA):

Solution:
import java.util.*;
public class Main
{
	
	
	public static void main(String[] args)
	{
		Scanner sc=new Scanner(System.in);
		int t=sc.nextInt();
		for(int i=0;i<t;i++)
		{
			int x=sc.nextInt();
			int y=sc.nextInt();
			int z=sc.nextInt();
			if(x==y && y>=z)
			{
				System.out.println("YES");
				System.out.print(x+" ");
				System.out.print(z+" ");
				System.out.println(1);				
			}
			else if(x==z && x>=y)
			{

				System.out.println("YES");
				System.out.print(y+" ");
				System.out.print(z+" ");
				System.out.println(1);		
			}
			else if(y==z && y>=x )
			{

				System.out.println("YES");
				System.out.print(x+" ");
				System.out.print("1 ");
				System.out.println(y);		
			}

			else
			{
				System.out.println("NO");
			}



		}
	}
		
}