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;
void solve() {
  int x, y, z;
  cin >> x;
  cin >> y;
  cin >> z;
  int a, b, c;
  bool flag = false;
  if (x > z) {
    a = x;
    if (y != x) {
      flag = true;
    } else {
      b = z;
      c = z;
    }
  } else if (x < z) {
    c = z;
    if (y != z) {
      flag = true;
    } else {
      a = x;
      b = x;
    }
  } else {
    b = x;
    if (y == x) {
      a = x;
      c = x;
    } else if (y > x) {
      flag = true;
    } else {
      a = y;
      c = y;
    }
  }
  if (flag) {
    cout << "NO" << endl;
  } else {
    cout << "YES" << endl;
    cout << a << " " << b << " " << c << endl;
  }
}
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int t;
  cin >> t;
  while (t--) {
    solve();
  }
  return 0;
}