Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Holiday Of Equality

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputIn Berland it is the holiday of equality. In honor of the holiday the king decided to equalize the welfare of all citizens in Berland by the expense of the state treasury.

Totally in Berland there are *n* citizens, the welfare of each of them is estimated as the integer in *a*_{i} burles (burle is the currency in Berland).

You are the royal treasurer, which needs to count the minimum charges of the kingdom on the king's present. The king can only give money, he hasn't a power to take away them.

Input

The first line contains the integer *n* (1 ≤ *n* ≤ 100) — the number of citizens in the kingdom.

The second line contains *n* integers *a*_{1}, *a*_{2}, ..., *a*_{n}, where *a*_{i} (0 ≤ *a*_{i} ≤ 10^{6}) — the welfare of the *i*-th citizen.

Output

In the only line print the integer *S* — the minimum number of burles which are had to spend.

Examples

Input

5

0 1 2 3 4

Output

10

Input

5

1 1 0 1 1

Output

1

Input

3

1 3 1

Output

4

Input

1

12

Output

0

Note

In the first example if we add to the first citizen 4 burles, to the second 3, to the third 2 and to the fourth 1, then the welfare of all citizens will equal 4.

In the second example it is enough to give one burle to the third citizen.

In the third example it is necessary to give two burles to the first and the third citizens to make the welfare of citizens equal 3.

In the fourth example it is possible to give nothing to everyone because all citizens have 12 burles.

Codeforces (c) Copyright 2010-2018 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Feb/25/2018 05:11:27 (d1).

Desktop version, switch to mobile version.

User lists

Name |
---|