5854: CF13 - C. Sequence
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Description
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 $a_{1} \leq a_{2} \leq ... \leq a_{N}$ holds, where $N$ is the length of the sequence.
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 $a_{1} \leq a_{2} \leq ... \leq a_{N}$ holds, where $N$ is the length of the sequence.
Input
The first line of the input contains single integer $N\ (1 \leq N \leq 5000)$ — 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.
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.
Sample 1 Input
5
3 2 -1 2 11
Sample 1 Output
4
Sample 2 Input
5
2 1 1 1 1
Sample 2 Output
1