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:
#n = int(input())
var = [int(x) for x in input().split(' ')]

var_sort = sorted(var)

a = var_sort[1] - 0.5*(var_sort[2] + var_sort[1] - var_sort[0])
b = var_sort[0] - var_sort[1] + 0.5*(var_sort[2] + var_sort[1] - var_sort[0])
c = 0.5*(var_sort[2] + var_sort[1] - var_sort[0])

print(int(a), int(b), int(c))
# lines = []var_sort
# for i in range(n):
#     line = input()
#     if line:
#         lines.append(line)
#     else:
#         break
# faces = 0