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:
a = int(input())
for i in range(a):
    num = list(map(int, input().split()))
    a = 0
    b = 0
    c = 0
    if num[0] == num[1] == num[2]:
        print('YES')
        print(num[1], num[1], num[1])
    elif (num[0] < num[2] and num[1] < num[2] and num[0] == num[1]) or (num[0] < num[1] and num[2] < num[1] and num[0] == num[2]) or (num[2] < num[0] and num[1] < num[0] and num[2] == num[1]) or (num[1] != num[2] and num[1] != num[0] and num[2] != num[0]):
        print('NO')
    else:
        if num[0] == num[1]:
            a = num[0]
            b = num[2]
            n = b - 1
            if n <= 0:
                n = 0
            else:
                n = 1
            c = num[2] - n
        elif num[0] == num[2]:
            b = num[0]
            a = num[1]
            n = a - 1
            if n <= 0:
                n = 0
            else:
                n = 1
            c = num[1] - n
        elif num[1] == num[2]:
            c = num[1]
            a = num[0]
            n = a - 1
            if n <= 0:
                n = 0
            else:
                n = 1
            b = num[0] - n
        print('YES')
        print(a, b, c)