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;
vector<int> prime;
void init(int range) {
  map<int, int> mark;
  for (int p = 2; p * p <= range; ++p) {
    if (mark[p] == 0) {
      for (int i = p * p; i <= range; i += p) {
        mark[i] = 1;
      }
    }
  }
  for (int p = 2; p <= range; ++p) {
    if (mark[p] == 0) {
      prime.push_back(p);
    }
  }
}
int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  cout.tie(NULL);
  int t;
  cin >> t;
  while (t--) {
    int a[3];
    cin >> a[0] >> a[1] >> a[2];
    sort(a, a + 3);
    if (a[1] != a[2]) {
      cout << "NO" << endl;
    } else {
      cout << "YES" << endl;
      cout << a[0] << " " << a[0] << " " << a[2] << endl;
    }
  }
}