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.Arrays;
import java.util.Scanner;

public class pairwimax {

	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		int a=sc.nextInt();
		for(int j=0;j<a;j++) {
			long b[]=new long[3];
			for(int i=0;i<3;i++) {
				b[i]=sc.nextLong();
				}
			Arrays.parallelSort(b);
			if(b[2] !=b[1]) {
				System.out.print("NO"+" ");
			}else {
				
				 if(b[0] ==b[1]) {
					System.out.print("YES"+" ");
					System.out.println(b[0]+" "+b[0]+" "+b[0]+" ");
					
				}
				else {
					System.out.print("YES"+" ");
				
					System.out.println(b[0]+" "+b[0]+" "+b[1]+" ");
				}
			}
			
		}
				;
		

	}

}