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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Text;
using System.Linq;

class Program
{
    public void Proc()
    {
        Reader.IsDebug = false;
        int itemCount = int.Parse(Reader.ReadLine());

        long[] itms = Reader.ReadLine().Split(' ').Select(a => long.Parse(a)).ToArray();
        
        bool isBigger = true;
        bool isSmaller = true;
        int ans = 1;
        for (int i = 1; i < itms.Length; i++)
        {
            if (itms[i - 1] > itms[i])
            {
                isBigger = false;
            }
            else if (itms[i - 1] < itms[i])
            {
                isSmaller = false;
            }
            if ((!isBigger) && (!isSmaller))
            {
                ans++;
                isBigger = true;
                isSmaller = true;
            }
        }
        Console.WriteLine(ans);
    
    }






    public class Reader
    {
        public static bool IsDebug = true;
        private static String PlainInput = @"



";
        private static System.IO.StringReader Sr = null;
        public static string ReadLine()
        {
            if (IsDebug)
            {
                if (Sr == null)
                {
                    Sr = new System.IO.StringReader(PlainInput.Trim());
                }
                return Sr.ReadLine();
            }
            else
            {
                return Console.ReadLine();
            }
        }
    }
    static void Main()
    {
        Program prg = new Program();
        prg.Proc();
    }
}