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;
import java.util.Arrays;
public class Solution{

    public static void main(String args[]){
        Scanner scn = new Scanner(System.in);
        int test = scn.nextInt();
        StringBuilder sb = new StringBuilder();
        while(test-- > 0){
            long arr[] = new long[3];
            for(int i  = 0 ; i < 3 ; i++){
                arr[i] = scn.nextLong();
            }
    
            if(arr[0] == arr[1] && arr[1] == arr[2]){
                sb.append("YES");
                sb.append("\n");
                sb.append(arr[0] + " " + arr[0] + " " + arr[0]);
                sb.append("\n");
                continue;
            }else{
                Arrays.sort(arr);
                if(arr[1] == arr[2]){
                    sb.append("YES");
                    sb.append("\n");
                    sb.append(arr[0] + " " + arr[0] + " " + arr[1]);
                    sb.append("\n");
                }else{
                    sb.append("NO");
                    sb.append("\n");
                }
            }
        }

        System.out.println(sb.toString());
    }
}