Problem: Polycarp has guessed three positive integers a, b and c. He keeps these numbers in secret, but he writes down four numbers on a board in arbitrary order — their pairwise sums (three numbers) and sum of all three numbers (one number). So, there are four numbers on a board in random order: a+b, a+c, b+c and a+b+c.

You have to guess three numbers a, b and c using given numbers. Print three guessed integers in any order.

Pay attention that some given numbers a, b and c can be equal (it is also possible that a=b=c).

Input

The only line of the input contains four positive integers x_1, x_2, x_3, x_4 (2 ≤ x_i ≤ 10^9) — numbers written on a board in random order. It is guaranteed that the answer exists for the given number x_1, x_2, x_3, x_4.

Output

Print such positive integers a, b and c that four numbers written on a board are values a+b, a+c, b+c and a+b+c written in some order. Print a, b and c in any order. If there are several answers, you can print any. It is guaranteed that the answer exists.

Examples

Input


3 6 5 4


Output


2 1 3


Input


40 40 40 60


Output


20 20 20


Input


201 101 101 200


Output


1 100 100

Solution (in PYTHON3):

Solution:
def main():
    four_numbers = sorted(list(map(int, input().split())))
    """
        a + b + c = (x1 + x2 + x3 + x4) // 3
        giả sử a <= b <= c
        a + b = x1 => b = x1 - a
        a + c = x2 => c = x2 - a
        b + c = x3
        a + b + c = x4 => a + x1 -a + x2 - a = x4 => a = x1 + x2 - x4 
    """
    a = four_numbers[0] + four_numbers[1] - four_numbers[3]
    b = four_numbers[0] - a
    c = four_numbers[1] - a
    print('{} {} {}'.format(a, b, c))
 
 
main()