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:
a, b, c, d = input().split()
a = int(a)
b = int(b)
c = int(c)
d = int(d)
max = 0
if a > b and a > c and a > d:
    bb = a - b
    cc = a - c
    dd = a - d
    print(bb, cc, dd)
elif b > a and b > c and b > d:
    bb = b - a
    cc = b - c
    dd = b - d
    print(bb, cc, dd)
elif c > a and c > b and c > d:
    bb = c - b
    cc = c - a
    dd = c - d
    print(bb, cc, dd)
else:
    bb = d - b
    cc = d - c
    dd = d - a
    print(bb, cc, dd)