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:
from sys import stdin

def r(): return stdin.readline().strip()
def r_t(tp): return map(tp, r().strip().split())
def r_a(tp): return list(r_t(tp))

def main():
    cases = int(r())
    for case in range(cases):
        A = list(r_t(int))
        A.sort(reverse=True)
        if A[0]==A[1] and (A[0]>A[2] or A[0]==A[2]):
            print("YES")
            if A[0]==A[1] and A[1]==A[2]: print(A[0],A[0],A[0])
            else: print(A[0], A[2], max(1,A[2]-1))
        else: print("NO")

main()