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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int n;
int main() {
  int T;
  scanf("%d", &T);
  bool ok = false;
  for (int mkn = 0; mkn < T; mkn++) {
    int a[3];
    int c = 0;
    for (int i = 0; i < 3; i++) cin >> a[i];
    sort(a, a + 3);
    int mx = a[2];
    for (int i = 0; i < 3; i++)
      if (a[i] == mx) c++;
    if (c >= 2) {
      cout << "YES" << '\n';
      if (c == 2)
        cout << a[2] << " " << a[0] << " " << a[0] << '\n';
      else
        cout << a[2] << " " << a[2] << " " << a[2] << '\n';
    } else
      cout << "NO" << '\n';
  }
  ok = true;
  char vof;
  return 0;
}