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:
list1 = [int(i) for i in input().split(' ')]
# sum of three numbers is the largest number in the list
sum = max(list1)
# remove the max element from the list
list1.remove(sum)
# # calculate a, b, c
# # a+b = el1 => el1 + c = sum => c = sum - el1
# c = sum - list1[0]
# # a+c = el2 => a = el2 - c
# a = list1[1] - c
# # b+c = el3 => b = el3 - c
# b = list1[2] - c
# print(a, b, c)
print(sum-list1[0], sum-list1[1], sum-list1[2])