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 C# (.NET Core 3.1.201) (judge verdict: Accepted)

using System;
using System.Text;
using System.Collections.Generic;
using System.Collections;
using System.Linq;
using E = System.Linq.Enumerable;
class Program
{
    static char[] abc = "abcdefghijklmnopqrstuvwxyz".ToCharArray();
    static long mod = 1000000007;
    static void Main(string[] args)
    {
        var N = long.Parse(Console.ReadLine());
        var A = Console.ReadLine().Split(' ').Select(x => long.Parse(x)).ToArray();
        //var S = Console.ReadLine();
        long ans = 1;
        long now = A[0];
        var man = 0;

        for (int i = 1; i < N; i++)
        {
            if(man == 0)
            {
                if(now < A[i])
                {
                    man = 1;
                }else if(now > A[i])
                {
                    man = -1;
                }
            }else if(man == 1)
            {
                if(now > A[i])
                {
                    man = 0;
                    ans++;
                }
            }
            else
            {
                if (now < A[i])
                {
                    man = 0;
                    ans++;
                }
            }

            now = A[i];
        }

        Console.WriteLine(ans);

    }
        

    
}