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 PYTHON3):

Solution:


def solve(x, y, z):

    a = [x, y]
    b = [x, z]
    c = [y, z]

    for a1 in a:
        for b1 in b:
            for c1 in c:

                temp1 = max(a1, b1)
                temp2 = max(a1, c1)
                temp3 = max(b1, c1)

                if temp1 == x and temp2 == y and temp3 == z:
                    print("YES")
                    print(a1, b1, c1)
                    return

    print("NO")
    return

test_cases = int(input())
for case in range(test_cases):
    x, y, z = map(int, input().split())

    solve(x, y, z)