Problem Statement

You are given an array $A$ of length $N$. Your task is to divide it into several contiguous subarrays. Here, all subarrays obtained must be sorted in either non-decreasing or non-increasing order. At least how many subarrays do you need to divide $A$ into?

Constraints

• $1 \\leq N \\leq 10^5$
• $1 \\leq A_i \\leq 10^9$
• Each $A_i$ is an integer.

Input

Input is given from Standard Input in the following format:

$N$ $A_1$ $A_2$ $...$ $A_N$

Output

Print the minimum possible number of subarrays after division of $A$.

Sample Input 1

6
1 2 3 2 2 1

Sample Output 1

2

One optimal solution is to divide the array into \[1,2,3\] and \[2,2,1\].

Sample Input 2

9
1 2 1 2 1 2 1 2 1

Sample Output 2

5

Sample Input 3

7
1 2 3 2 1 999999999 1000000000

Sample Output 3

3