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: Wrong Answer)

using System;
using System.Linq;
using System.Collections.Generic;
using System.IO;
using static System.Console;


namespace atcorder2
{
    class Program
    {
        public static long Read()
        {

            return long.Parse(Console.ReadLine());
        }

        public static long[] Reads()
        {

            return Console.ReadLine().Split().Select(long.Parse).ToArray();
        }

       
         public static long GCM(long x,long y)
        {
            if (x < y)  GCM(y, x);


            while (y > 0)
            {
                var z = y;
                y = x % y;
                x = z;
            }
            
            return x;
        }

        



        static void Main(string[] args)
        {
            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);


            var n = Read();
            var a = Reads();
            long f = 0 ;
            if (n>1&&a[0] < a[1]) f = 1;
            long ans = 1;
            
            long count = 2;
            for (int i = 1; i < n-1; i++)
            {
                if (a[i] < a[i + 1])
                {
                    if (f == 0 && count != 1) { ans++; count = 0; }

                    f = 1;
                    count++;
                }
                else if (a[i] > a[i + 1])
                {
                    if (f == 1 && count != 1) { ans++; count = 0; }

                    f = 0;
                    count++;
                }
                else { f = 2; count++; }
               
            }
            
            WriteLine(ans);











            Console.Out.Flush();
        }
    }
}