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():

    t = input()
    for i in range(int(t)):
        s = input()
        s = s.split(" ")
        x = int(s[0])
        y = int(s[1])
        z = int(s[2])
        if (x == y == z):

            print("YES")
            print(x,y,z)

        elif ((y==z) and (x<y)):

            print("YES")
            print(x,x,y)

        elif ((x==y) and (z<y)):

            print("YES")
            print(x,z,z)

        elif ((x==z) and (y<x)):
            print("YES")
            print(y,x,y)

        elif ((y==z and x>y) or (x==y and z>x) or (x==z and y>x)):
            print("NO")

        else:
            print("NO")
        

main()