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 math


def swap(a, b):
    c = a
    a = b
    b = c
    return [a, b]


def iscorrect(a, b, c, x, y, z):
    if max(a, b) == x and max(b, c) == z and max(a, c) == y:
        return True
    return False


for i in range(int(input())):
    a, b, c = map(int, input().split())
    sl = {a, b, c}
    if len(sl) == 1:
        print("YES")
        print(a, b, c)
        continue
    if len(sl) == 2:
        th = min(sl) - 1
        if th < 1:
            th = 1
        arr = [list(sl)[0], list(sl)[1], th]
    if len(sl) == 3:
        arr = [list(sl)[0], list(sl)[1], list(sl)[2]]
    z = 0
    for j in range(3):
        if iscorrect(arr[0], arr[1], arr[2], a, b, c):
            z = 1
            break
        s = swap(arr[0], arr[1])
        arr[0] = s[0]
        arr[1] = s[1]
        if iscorrect(arr[0], arr[1], arr[2], a, b, c):
            z = 1
            break
        s = swap(arr[1], arr[2])
        arr[1] = s[0]
        arr[2] = s[1]
    if z == 0:
        print("NO")
    if z == 1:
        print("YES")
        print(arr[0], arr[1], arr[2])