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 solution {
    
    public static void function1(int x,int y,int z){
      int a=-1;int b=-1;int c=-1;
       if(x==y && y==z){
        a=x;b=y;c=z;
       }else if(x==y && x>z){
           a=x;
           b=z;
           if(b==1){c=1;}else{c=z-1;}
        }else if(y==z && y>x){
           c=y;
           b=x;
           if(b==1){a=1;}else{a=x-1;}
        }else if(x==z && x>y){
            // System.out.println("YESrr");
           b=x; a=y;
           if(a==1){c=1;}else{c=y-1;}
        }

        if(a==-1 && b==-1 && c==-1){
          System.out.println("NO");
          return;
        }else{
          System.out.println("YES");
          System.out.println(a+" "+b+" "+c);
          return;
        }
    }

    public static void main(String[] args){
        Scanner scn=new Scanner(System.in);
        int tc=scn.nextInt();
        // long[] res=new long[tc];
        
        for(int i=0;i<tc;i++){
           int x=scn.nextInt();
           int y=scn.nextInt();
           int z=scn.nextInt();
         function1(x,y,z);
        }
        
        // for(int i=0;i<tc;i++){
        //      System.out.println(res[i]);
        // }
    }
}