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 ThreePairwiseMaximum {
	public static void main(String[] args){
		Scanner in = new Scanner(System.in);
		int N = in.nextInt();
		
		for(int i = 0; i < N; i++){
			HashMap<Integer, Integer> nums = new HashMap<Integer, Integer>();
			ArrayList<Integer> keys = new ArrayList<Integer>();
			for(int z = 0; z < 3; z++){
				int next = in.nextInt();
				if(!nums.containsKey(next)){
					nums.put(next, 1);
					keys.add(next);
				}else{
					nums.put(next, nums.get(next) +1 );
				}
			}
			if(nums.size() == 3){
				System.out.println("NO");
			}else if(nums.size() == 2){
				
				if(nums.get(keys.get(0)) < nums.get(keys.get(1))) {
					if(keys.get(0) < keys.get(1)){
						System.out.println("YES");
							System.out.print(keys.get(0));
						System.out.print(" ");
							System.out.print(keys.get(0) );
						System.out.print(" ");
							System.out.print(keys.get(1));
							System.out.println(); 

					}else{
						System.out.println("NO");
					}
				}else{
					if(keys.get(0) > keys.get(1)){
							System.out.println("YES");
								System.out.print(keys.get(0));
							System.out.print(" ");
								System.out.print(keys.get(1) );
							System.out.print(" ");
								System.out.print(keys.get(1));
								System.out.println(); 
					}else{
						System.out.println("NO");	
					}
				}
				
			}else if(nums.size() == 1){
				System.out.println("YES");
				System.out.print(keys.get(0));
					System.out.print(" ");
					System.out.print(keys.get(0)); 
						System.out.print(" ");
					System.out.print(keys.get(0)); 
					System.out.println(); 
			}
			
		}
	
	}
}