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 Python (3.4.3) (judge verdict: Accepted)

from sys import stdin

def main():
	N = int(stdin.readline().strip())
	array = [int(x) for x in stdin.readline().strip().split()]
	ans,i= 0,0
	while i+1 < N:
		if array[i] < array[i+1]:
			ans+=1
			while i+1 < N and array[i] <= array[i+1]:
				i+=1
			i+=1
		elif array[i] > array[i+1]:
			ans+=1
			while i+1 < N and array[i] >= array[i+1]:
				i+=1
			i+=1
		else:
			i+=1
	if i+1 == N or ans == 0:
		ans+=1
	print(ans)
main()