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 HelloWorld{

     public static void main(String []args){
       Scanner sc = new Scanner(System.in);
       int t = sc.nextInt();
       for(int i1=0;i1<t;i1++){
           int x=sc.nextInt();
           int y=sc.nextInt();
           int z=sc.nextInt();
           List<Integer> list = new LinkedList<>();
            list.add(x);
           list.add(y);
           list.add(z);
           TreeSet<Integer> set = new TreeSet<>();
           set.add(x);
           set.add(y);
           set.add(z);
           if(set.size()==3){
               System.out.println("NO");
           }else if(set.size()==1){
               System.out.println("YES");
               System.out.println(x+" "+x+" "+x);
           }else{
               int c = set.pollFirst();
               int count=0;
               for(int i=0;i<3;i++){
                   if(list.get(i)==c){
                       count++;
                   }
               }
               if(count==2){
                    System.out.println("NO");
               }else{
                    System.out.println("YES");
                    System.out.println(c+" "+1+" "+set.pollFirst());
               }
               
               
           }
           
       }
     }
}