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 P1385A_ThreePairwiseMaximum {
	public static void main(String subhani[]) throws IOException, NumberFormatException {
		BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
		int t = Integer.parseInt(br.readLine());
		while (t-- > 0) {
			StringTokenizer st = new StringTokenizer(br.readLine());
			int[] a = new int[3];
			for (int i = 0; i < 3; ++i)
				a[i] = Integer.parseInt(st.nextToken());
			solution(a);
		}
	}

	public static void solution(int[] a) {
		Arrays.parallelSort(a);
		if (a[1] != a[2])
			System.out.println("NO");
		else {
			System.out.println("YES");
			System.out.println(a[0] + " " + a[0] + " " + a[2]);
		}
	}
}