CSES - Stick Lengths
  • Time limit: 1.00 s
  • Memory limit: 512 MB
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