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Stick Lengths

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Time limit 2000/4000/4000/4000 ms. Memory limit 65000/65000/65000/65000 Kb. Difficulty Alpha

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: p1,p2,…,pn : the lengths of the sticks.

Output
Print one integer: the minimum total cost.

Constraints
  • 1≤n≤2⋅105
  • 1≤p(i)≤109

Example
Input:
5
2 3 1 5 2

Output:
5

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