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:
numbers = input().split(" ")
guessed_numbers = []
output = " "

numbers = sorted(numbers)

for i in range(1, len(numbers)):
    if int(numbers[len(numbers)-1]) > int(numbers[0]):
        guessed_numbers.append(int(numbers[len(numbers)-1]) - int(numbers[i-1]))
    else:
        guessed_numbers.append(int(numbers[0]) - int(numbers[i]))


for number in guessed_numbers:
    output += str(number) + " "
 
print(output[1:])


# 3 4 5 6
# 3 2 1