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:
#!/usr/bin/env pypy
import sys
input = sys.stdin.readline


def inp():
    return (int(input()))


def inlt():
    return (list(map(int, input().split())))


def insr():
    s = input()
    return (list(s[:len(s) - 1]))


def invr():
    return list((map(int, input().split())))


def solve(a, b, c):
    if x == max(a,b) and y == max(a, c) and z == max(b, c):
        print("YES")
        print(" ".join(map(str, [a, b, c])))
        return True
    return False


if __name__ == '__main__':
    t = inp()
    for i in range(t):
        xyz = inlt()
        x = xyz[0]
        y = xyz[1]
        z = xyz[2]
        if solve(x, x, y):
            pass
        elif solve(x, x, z):
            pass
        elif solve(x,z, y):
            pass
        elif solve(x, z, z):
            pass
        elif solve(y, x, y):
            pass
        elif solve(y, x, z):
            pass
        elif solve(y, z, y):
            pass
        elif solve(y, z, z):
            pass
        else:
            print("NO")