P23659 [AtCoder] Frog 2
普及+
题目描述

Problem Statement

There are $N stones, numbered 1, 2, \ldots, N$.
For each $i (1 \leq i \leq N)$, the height of Stone i is h_i.
There is a frog who is initially on Stone 1.
He will repeat the following action some number of times to reach Stone N:

  • If the frog is currently on Stone i, jump to one of the following: Stone $i + 1, i + 2, \ldots, i + K. Here, a$ cost of |h_i - h_j| is incurred, where j is the stone to land on.

Find the minimum possible total cost incurred before the frog reaches Stone N.

Input

Input is given from Standard Input in the following format:
N K
$h_1 h_2 \ldots h_N$

Output

Print the minimum possible total cost incurred.

Constraints

  • All values in input are integers.
  • $2 \leq N \leq 10^5$
  • $1 \leq K \leq 100$
  • $1 \leq h_i \leq 10^4$

Sample Input 1

5 3
10 30 40 50 20

Sample Output 1

30

If we follow the path 1 → 2 → 5, the total cost incurred would be |10 - 30| + |30 - 20| = 30.

Sample Input 2

3 1
10 20 10

Sample Output 2

20

If we follow the path 1 → 2 → 3, the total cost incurred would be |10 - 20| + |20 - 10| = 20.

Sample Input 3

2 100
10 10

Sample Output 3

0

If we follow the path 1 → 2, the total cost incurred would be |10 - 10| = 0.

Sample Input 4

10 4
40 10 20 70 80 10 20 70 80 60

Sample Output 4

40

If we follow the path 1 → 4 → 8 → 10, the total cost incurred would be |40 - 70| + |70 - 70| + |70 - 60| = 40.

输入格式

见题面 Input 部分

输出格式

见题面 Output 部分

样例输入
5 3 10 30 40 50 20
样例输出
30