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 Contest656_A {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int t = sc.nextInt();
        for (int i = 0; i < t; i++){
            int a = sc.nextInt();
            int b = sc.nextInt();
            int c = sc.nextInt();
            solve(a,b,c);
        }
    }
    public static void solve(int a, int b, int c){
        if (a != b && b != c && c != a){
            System.out.println("NO");
            return;
        }
        if (a == b && b == c){
            System.out.println("YES");
            System.out.println(a + " " + b + " " + c);
            return;
        }
        int x = 0, y = 0, z = 0;
        if (a == b){
            if (c < b){
                x = a;
                y = c;
                z = 1;
                System.out.println("YES");
                System.out.println(x + " " + y + " " + z);
                return;
            }
        }
        if (a == c){
            if (b < c){
                y = a;
                z = b;
                x = 1;
                System.out.println("YES");
                System.out.println(x + " " + y + " " + z);
                return;
            }
        }
        if (b == c){
            if (a < b){
                z = c;
                x = a;
                y = 1;
                System.out.println("YES");
                System.out.println(x + " " + y + " " + z);
                return;
            }
        }
        System.out.println("NO");
    }
}