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 main():
    for _ in [0]*int(input()):
        li=[int(i) for i in input().split(" ")]
        li.sort(reverse=True)
        x,y,z=li[0],li[1],li[2]
        a,b,c=[0,0,0]
        if x==y and y==z:
            a=x
            b=x
            c=x
        elif x==y:
            a=x
            b=z
            if b>1:
                c=z-1
            else:
                c=z
        elif x!=y:
            print("NO")
            continue
        print("YES")
        print(f"{a} {b} {c}")




if __name__=="__main__":
    main()