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 A {
        private static boolean iter(int a, int b, int c, int x, int y, int z) {
                if (x == (int) Math.max(a, b) && y == (int) Math.max(a, c) && z == (int) Math.max(b, c)) {
                        System.out.println("YES");
                        System.out.println(a + " " + b + " " + c);
                        return true ;
                }
                return false;
        }

        private static void go(int x, int y, int z) {
                if (x == y) if (iter(x, z, 1, x, y, z)) return;
                if (x == y) if (iter(x, 1, z, x, y, z)) return;
                if (y == z) if (iter(x, 1, y, x, y, z)) return;
                if (y == z) if (iter(1, x, y, x, y, z)) return;
                if (x == z) if (iter(y, x, 1, x, y, z)) return;
                if (x == z) if (iter(1, x, y, x, y, z)) return;
                if (iter(x, z, y, x, y, z)) return;
                if (iter(y, x, z, x, y, z)) return;
                System.out.println("NO");
        }
        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();

                        go(x,y, z);
                }
        }
}