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 solution(x, y, z):
    flag = 'NO'
    res = dict()
    if x == y or y == z or x == z:
        if x == y:
            flag = 'YES'
            res['a'] = x
            res['c'] = z
            if z > x:
                print('NO')
                return
        if y == z:
            flag = 'YES'
            res['c'] = y
            res['b'] = x
            if x > y:
                print('NO')
                return
        if x == z:
            flag = 'YES'
            res['b'] = z
            res['a'] = y
            if y > x:
                print('NO')
                return
        if len(res.values()) < 3:
            if res.get('a', None) is None: res['a'] = 1
            if res.get('b', None) is None: res['b'] = 1
            if res.get('c', None) is None: res['c'] = 1

    print(flag)
    if flag == 'YES':
        print('%d %d %d' % (res['a'], res['b'], res['c']))

if __name__ == '__main__':
    num_inputs = int(input())
    args = []
    for i in range(num_inputs):
        x, y, z = [int(i) for i in input().split(' ')]
        args.append([x, y, z])

    for arg in args:
        solution(arg[0], arg[1], arg[2])