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:
class CodeforcesTask1154ASolution:
    def __init__(self):
        self.result = ''
        self.s_s_s_ss = []

    def read_input(self):
        self.s_s_s_ss = [int(x) for x in input().split(" ")]

    def process_task(self):
        self.s_s_s_ss.sort()
        c = self.s_s_s_ss[3] - self.s_s_s_ss[0]
        b = self.s_s_s_ss[3] - self.s_s_s_ss[1]
        a = self.s_s_s_ss[3] - self.s_s_s_ss[2]
        self.result = "{0} {1} {2}".format(a, b, c)

    def get_result(self):
        return self.result


if __name__ == "__main__":
    Solution = CodeforcesTask1154ASolution()
    Solution.read_input()
    Solution.process_task()
    print(Solution.get_result())