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C. Sequence

time limit per test

1 secondmemory limit per test

64 megabytesinput

standard inputoutput

standard outputLittle 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 *a*_{1} ≤ *a*_{2} ≤ ... ≤ *a*_{N} holds, where *N* is the length of the sequence.

Input

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 10^{9} by absolute value.

Output

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

Examples

Input

5

3 2 -1 2 11

Output

4

Input

5

2 1 1 1 1

Output

1

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