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.io.*;
import java.util.*;

public class file {

    public static void main(String[] args)throws IOException {
        /* Enter your code here. Read input from STDIN. Print output to STDOUT. Your class should be named Solution. */
        Scanner sc=new Scanner(System.in);
       int t=sc.nextInt();
      for(int k=0;k<t;k++)
      {int max=0;
        int a=sc.nextInt();
        int b=sc.nextInt();
        int c=sc.nextInt();
      if(a==b&&a==c)
      {System.out.println("YES");
       System.out.println(a+" "+b+" "+c);
      }
       
       else if((a==b&&a>c))
        {
         System.out.println("YES");
          System.out.println(a+" "+c+" "+(c));
        }
        else if((c==b&&c>a))
        {
          System.out.println("YES");
          System.out.println(c+" "+a+" "+(a));
        }
        else if((a==c&&a>b))
        {
          System.out.println("YES");
          System.out.println(a+" "+b+" "+(b));
        }
       else
         System.out.println("NO");
      }
       
    }
 
}