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.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.Arrays;

/*
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 * To change this template file, choose Tools | Templates
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/**
 *
 * @author ADMIN
 */
public class ThreePairwiseMax {
    public static void main(String[] args) throws Exception
    {
        InputStreamReader isr=new InputStreamReader(System.in);
        BufferedReader br=new BufferedReader(isr);
        
        int n=Integer.parseInt(br.readLine());
        
        for(int i=0;i<n;i++)
        {
            int arr[]=new int[3];
            String st[]=br.readLine().split(" ");
            for(int j=0;j<st.length;j++)
            {
                arr[j]=Integer.parseInt(st[j]);
            }
            
            Arrays.sort(arr);
            
            if(arr[1]!=arr[2])
            {
                System.out.println("NO");
            }
            else
            {
                System.out.println("YES");
                System.out.println(arr[0]+" "+arr[0]+" "+arr[2]);
            }
        }
    }
}