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 valid(x, y, z, a, b, c):
    if x == max(a, b) and y == max(a, c) and z == max(b, c):
        print("YES")
        print(a, b, c)
        return True
    return False


def doTest():
    x, y, z = [int(each) for each in input().split(' ')]
    # x must be a or b
    # y must be a or c
    # z must be b or c

    # a,a,b
    if x == y:
        if valid(x, y, z, x, z, 1):
            return
    # a,a,c
    if x == y:
        if valid(x, y, z, x, 1, z):
            return
    # a,c,b
    if True:
        if valid(x, y, z, x, z, y):
            return
    # a,c,c
    if y == z:
        if valid(x, y, z, x, 1, z):
            return
    # b,a,b
    if x == z:
        if valid(x, y, z, y, x, 1):
            return
    # b,a,c
    if True:
        if valid(x, y, z, y, x, z):
            return
    # b,c,b
    if x == z:
        if valid(x, y, z, 1, x, y):
            return
    # b,c,c
    if y == z:
        if valid(x, y, z, 1, x, y):
            return

    print("NO")


def main():
    T = int(input())
    for t in range(T):
        doTest()


main()