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:
//package codechef;
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.math.MathContext;
import java.nio.channels.Channels;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.Map;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Random;
import java.util.Scanner;
import java.util.Set;
import java.util.StringTokenizer;

public class codeforces_ladder {
	
	
    private static void shuffleArray(int[] array)
    {
        int index, temp;
        Random random = new Random();
        for (int i = array.length - 1; i > 0; i--)
        {
            index = random.nextInt(i + 1);
            temp = array[index];
            array[index] = array[i];
            array[i] = temp;
        }
    }
    
    
    
    
    
    
	public static void main(String[] args) {
		// TODO Auto-generated method stub
		Scanner sc=new Scanner(System.in);
		int t=sc.nextInt();
		while(t-->0)
		{
			long arr[]=new long[3];
			for(int i=0;i<3;i++)
			{
				arr[i]=sc.nextLong();
			}
			Arrays.sort(arr);
			if(arr[1]!=arr[2])
			{
				System.out.println("NO");
			}
			else {
				System.out.println("YES"+" "+arr[0]+" "+arr[0]+" "+arr[2]);
			}
		}
	}
}