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 Julia (0.5.0) (judge verdict: Runtime Error)

function main()
	N=parse(Int,readline())
	A=map(x->parse(Int,x),split(readline()))
	ans=1
	i=3
	now=A[1]<A[2] ? 1 : A[1]>A[2] ? -1 : 0
	while i<=N
		if now==1&&A[i-1]>A[i]
			ans+=1
			i+=1
			now=-1
		elseif now==-1&&A[i-1]<A[i]
			ans+=1
			i+=1
			now=1
		elseif now==0&&A[i-1]!=A[i]
			now=A[i-1]<A[i] ? 1 : -1
		end
		i+=1
	end
	println(ans)
end
main()