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13C · Sequence

2200 · dp, sortings

Problem: Little Petya likes to play very much. And most of all he likes to play the following game:

He is given a sequence of N integer numbers. At each step it is allowed to increase the value of any number by 1 or to decrease it by 1. The goal of the game is to make the sequence non-decreasing with the smallest number of steps. Petya is not good at math, so he asks for your help.

The sequence a is called non-decreasing if a1 ≤ a2 ≤ ... ≤ aN holds, where N is the length of the sequence.

Input Format: The first line of the input contains single integer N (1 ≤ N ≤ 5000) — the length of the initial sequence. The following N lines contain one integer each — elements of the sequence. These numbers do not exceed 109 by absolute value.

Output Format: Output one integer — minimum number of steps required to achieve the goal.

Sample Cases

Case 1

Input

5
3 2 -1 2 11

Output

4

Case 2

Input

5
2 1 1 1 1

Output

1

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