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 Stone i + 1 or Stone i + 2. 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
$h_1 h_2 \ldots h_N$

Output

Print the minimum possible total cost incurred.

Constraints

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

Sample Input 1

4
10 30 40 20

Sample Output 1

30

If we follow the path 1 → 2 → 4, the total cost incurred would be |10 - 30| + |30 - 20| = 30.

Sample Input 2

2
10 10

Sample Output 2

0

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

Sample Input 3

6
30 10 60 10 60 50

Sample Output 3

40

If we follow the path 1 → 3 → 5 → 6, the total cost incurred would be |30 - 60| + |60 - 60| + |60 - 50| = 40.

见题面 Input 部分

见题面 Output 部分