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:
num1 = input()
a = []


def get_the_data(count, num, arr):
    for i in range(0, len(num)):
        if num[i] == ' ':
            arr.append(int(num[count:i]))
            count = i+1
        elif i == len(num)-1:
            arr.append(int(num[count:len(num)]))
    return arr


numbers = get_the_data(0, num1,  a)
numbers.sort()
sum_of_all = numbers[len(numbers) - 1]
result = ''
a = sum_of_all - numbers[0]
result += str(a) + ' '
b = sum_of_all - numbers[1]
result += str(b) + ' '
c = sum_of_all - numbers[2]
result += str(c)

print(result)