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 (1.4.0) (judge verdict: Accepted)

function f()
    N = parse(Int, readline())
    A = parse.(Int, split(readline()))
    ans = 1
    flag = 0
    for i in 2:N
        if flag == 1
            if A[i]<A[i-1]
                ans += 1;
                flag = 0
            end
        elseif flag == 0
            if A[i]>A[i-1]
                flag = 1
            elseif A[i]<A[i-1]
                flag = -1
            end
        else
            if A[i]>A[i-1]
                ans += 1
                flag = 0
            end
        end
    end
    
    println(Int(ans))
end
f()