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.*;
import java.io.*;
public class Main{

public static void main(String[] args) {

Scanner scn = new Scanner(System.in);
long t = scn.nextLong();
while(t-->0){
    long x = scn.nextLong();
    long y = scn.nextLong();
    long z = scn.nextLong();
    long a = 0,b = 0,c = 0;
    int flag = 0;
    if(x == y){
        a = x;
        if(y == z){
            b = y;
            c = z;
            flag = 1;
        }
        else if(y>z){
            b = z;
            c = z;
            flag = 1;
        }
    }
    else if(x == z){
        b = x;
        if(x == y){
            c = z;
            a = y;
            flag = 1;
        }
        else if(y<x){
            a = y;
            c = y;
            flag = 1;
        }
    }
    else if(y == z){
        c = y;
        if(x == y){
            a = z;
            b = x;
            flag = 1;
        }
        else if(y>x){
            a = x;
            b = x;
            flag = 1;
        }
    }
    
    if(flag == 0){
        System.out.println("NO");
    }
    else{
        System.out.println("YES");
        System.out.println(a + " " + b + " " + c);
    }
}
 }
}