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:
//Created by Aminul on 7/17/2020.

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

import static java.lang.Math.*;

public class A {
    public static void main(String[] args) throws Exception {
        Scanner in = new Scanner(System.in);
        PrintWriter pw = new PrintWriter(System.out);
        int test = in.nextInt();
        for (int t = 1; t <= test; t++) {
            int x = in.nextInt(), y = in.nextInt(), z = in.nextInt();
            int[] arr = solve(x, y, z);
            if (arr == null) pw.println("NO");
            else {
                pw.println("YES");
                pw.println(arr[0] + " " + arr[1] + " " + arr[2]);
            }
        }

        pw.close();
    }
    
    static int[] solve(int x, int y, int z) {
        int arr[] = new int[] {x, y, z};
        Arrays.sort(arr);
        if(arr[1] == arr[2] && arr[0] <= arr[1]) {
            return new int[] {max(1, arr[0] - 1), arr[0], arr[1]};
        } else {
            return null;
        }
    }
    

    static void debug(Object... obj) {
        System.err.println(Arrays.deepToString(obj));
    }
}