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.Scanner;

public class ThreePairwiseMaximus {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);

        int t = sc.nextInt();

        while (t-- > 0) {
            int x = sc.nextInt(), y = sc.nextInt(), z = sc.nextInt();

            if ((x == y && y == z)) {
                System.out.println("YES\n" + x + " " + y + " " + z);
            }
            else if((x == y && x > z)){
                System.out.println("YES\n" + x + " " + z + " " + z);
            }
            else if((y == z && y > x)){
                System.out.println("YES\n" + y + " " + x + " " + x);
            }
            else if(z == x && z > y){
                System.out.println("YES\n" + z + " " + y + " " + y);
            }
            else{
                System.out.println("NO");
            }
        }
    }
}