There are $n$ sticks with some lengths. Your task is to modify the sticks so that each stick has the same length.

You can either lengthen and shorten each stick. Both operations cost $x$ where $x$ is the difference between the new and original length.

What is the minimum total cost?

Input

The first input line contains an integer $n$: the number of sticks.

Then there are $n$ integers: $p_1,p_2,\ldots,p_n$: the lengths of the sticks.

Output

Print one integer: the minimum total cost.

Constraints

• $1 \le n \le 2 \cdot 10^5$
• $1 \le p_i \le 10^9$

Example

Input:

5
2 3 1 5 2

Output:

5