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.*;
import java.util.*;
public class cp1 {
    public static void main(String args[]) {
        int t=II();
        while(--t>=0){
            int a[]=IIA(3);
            Arrays.sort(a);
            if(a[2]==a[1]){
                System.out.println("YES");
                System.out.println(a[0]+" "+a[0]+" "+a[1]);
            }
            else{
                System.out.println("NO");
            }
        }
    }
    
    ////////////////////////////////////
    static scan in=new scan(System.in);
    static int II() {
        return in.nextInt();
    }
    static long IL() {
        return in.nextLong();
    }
    static int[] IIA(int n) {
        int a[]=new int[n];
        for(int i=0;i<n;i++) {
            a[i]=II();
        }
        return a;
    }
    static String IS() {
        return in.next();
    }
    static char IC(){
        return in.next().charAt(0);
    }
    static String[] ISA(int n) {
        String a[]=new String[n];
        for(int i=0;i<n;i++) {
            a[i]=IS();
        }
        return a;
    }
    static char[] ICA(int n) {
        char a[]=new char[n];
        for(int i=0;i<n;i++) {
            a[i]=IC();
        }
        return a;
    }
}
class scan
{
    public static BufferedReader reader;
    public static StringTokenizer token;

    scan(InputStream str)
    {
        reader=new BufferedReader(new InputStreamReader(str));
        token=null;
    }

    static int nextInt()
    {
        while(token==null||!token.hasMoreTokens())
        {
            try { token=new StringTokenizer(reader.readLine());   }
            catch(IOException e){  throw new RuntimeException(e); }
        }
        return Integer.parseInt(token.nextToken());
    }

    static long nextLong()
    {
        while(token==null||!token.hasMoreTokens())
        {
            try { token=new StringTokenizer(reader.readLine());   }
            catch(IOException e){  throw new RuntimeException(e); }
        }
        return Long.parseLong(token.nextToken());
    }

    static String next()
    {
        while(token==null||!token.hasMoreTokens())
        {
            try { token=new StringTokenizer(reader.readLine());   }
            catch(IOException e){  throw new RuntimeException(e); }
        }
        return token.nextToken();
    }

}



// data = {['name':'Protien', 'id':'1234', 'brand':'muscleblaze', 'about':'fopr building muscle'....],[],[]}