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 A1385 {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);

        long t = scanner.nextInt();
        for (long i = 0; i < t; i++) {
            long x = scanner.nextInt(), y = scanner.nextInt(), z = scanner.nextInt();
            if (x == y && x == z) {
                System.out.println("YES");
                System.out.println(x + " " + x + " " + x);
            }
            if (x > y && y > z) System.out.println("NO");
            if (x > z && z > y) System.out.println("NO");
            if (y > x && x > z) System.out.println("NO");
            if (y > z && z > x) System.out.println("NO");
            if (z > y && y > x) System.out.println("NO");
            if (z > x && x > y) System.out.println("NO");

            if (x > y && y == z) System.out.println("NO");
            if (y > z && x == z) System.out.println("NO");
            if (z > x && x == y) System.out.println("NO");

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


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