Stick Lengths

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