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.Scanner;
import java.io.InputStreamReader;
import java.io.BufferedReader;
import java.io.PrintWriter;
import java.io.IOException;
import java.math.BigInteger;

public class Contest {
	static boolean GOT = true;
	static void solve(long time) throws IOException {
	    int x = nextInt(), y = nextInt(), z = nextInt();
        int a, b, c;
        a = Math.max(x, Math.max(y, z));
        c = Math.min(x, Math.min(y, z));
        b = x + y + z - c - a;
        if(a==b) {
            println("YES");
            println(a + " " + c +  " " + c);
        }else {
            println("NO");
        }
        return;
	}
	
	public static void main(String[] sargs) throws IOException {
		long t = 1;
		if(GOT)
			t = nextLong();
		for(long nr = 1; nr <= t; ++nr)
			solve(nr);
		out.flush();
	}
	
	static String next() {
		return sc.next();
	}
	
	static String nextLine() {
		return sc.nextLine();
	}
	
	static String readLine() throws IOException {
		return br.readLine();
	}
	
	static int nextInt() {
		return sc.nextInt();
	}
	
	static long nextLong() {
		return sc.nextLong();
	}
	
	static float nextFloat() {
		return sc.nextFloat();
	}
	
	static double nextDouble() {
		return sc.nextDouble();
	}
	
	static BigInteger nextBigInteger() {
		return sc.nextBigInteger();
	}
	
	static void print(Object...o) {
		if(o[o.length - 1].toString().equals(" "))
			for(int i = 0; i < o.length; ++i)
				out.print(o[i].toString() + " ");
		else
			for(int i = 0; i < o.length; ++i)
				out.print(o[i].toString());
	}

	static void println(Object...o) {
		if(o.length < 1) {
			out.println();
			return;
		}
		for(int i = 0; i < o.length; ++i)
			out.println(o[i].toString());
	}

	static Scanner sc = new Scanner(System.in);
	static BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
	static PrintWriter out = new PrintWriter(System.out);
}