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 Ruby (2.3.3) (judge verdict: Wrong Answer)

N = gets.to_i
arr = gets.chomp!.split(" ").map { |v|
	v.to_i
}

fir = 0
dir = ""
isfirst = true
ans = 1
0.upto(N-1) { |i|
	if (isfirst && (arr[i] == arr[fir]) ) then
		next
	end
	
	if  (isfirst && (arr[i] > arr[fir]) ) then
		isfirst = false
		dir = "up"
		next
	end
	
	if  (isfirst && (arr[i] > arr[fir]) ) then
		isfirst = false
		dir = "down"
		next
	end
	
	if (dir == "up" && arr[i] >= arr[i-1]) then
		next
	end
	if (dir == "down" && arr[i] <= arr[i-1]) then
		next
	end
	
	ans += 1
	fir = i
}
puts ans