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A. Restoring Three Numbers

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPolycarp 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 $$$x_1, x_2, x_3, x_4$$$ ($$$2 \le x_i \le 10^9$$$) — 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

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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