Problem:
Score : 300 points

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

Solution in PyPy3 (7.3.0) (judge verdict: Wrong Answer)

#editorial
n=int(input())
if n==1:
    print(1)
    exit()
*a,=map(int, input().split())
pre=a[1]-a[0]
ans=1
for i in range(2,n):
    if pre*(a[i]-a[i-1])<0:
        pre=0
        ans+=1
    else:
        pre=a[i]-a[i-1]
print(ans)