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:
import sys
line = sys.stdin.readline

def answer(nums):
    nums = [int(x) for x in nums.split(" ")]

    x = nums[0]
    y = nums[1]
    z = nums[2]

    set_size = len(set(nums))

    if set_size == 3:
        print("NO")

    else:
        if set_size == 1:
            print("YES");
            print(x, x, x)
        else:
            # check that the dupe is greater
            if x == y and x > z:
                print("YES")
                print(x, z, z)
            elif x == z and x > y:
                print("YES")
                print(x, y, y)
            elif y == z and y > x:
                print("YES")
                print(x, y, x)
            else:
                print("NO")

for i in range(int(line())):
    line = sys.stdin.readline
    answer(line())

# bruh this code
# please kill me
# it doesn't even work as it's intended to