6703.Stick Lengths

Time Limit: 1s Memory Limit: 512MB

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 Format(From the terminal/stdin)

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.

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

Output Format(To the terminal/stdout)

Print one integer: the minimum total cost.

Sample Input

Copy
5
2 3 1 5 2
 \n
 · · · · \n

Sample Output

Copy
5
 \n
Source: CSES, Sorting and Searching, 1074

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