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: Runtime Error)

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


class Program
{
    static void Main(string[] args)
    {
        int[] NLT = Console.ReadLine().Split().Select(int.Parse).ToArray();
        ulong[] a = null;
        int[,] XW = null;
        int[] XWi;
        for (int i = 0; i < NLT[0]; i++)
        {
            XWi = Console.ReadLine().Split().Select(int.Parse).ToArray();
            XW[i, 0] = XWi[0]; XW[i, 1] = XWi[1];
        }
                Array.Sort(a);
        for (int i = 0; i < NLT[0]; i++)
        {
            Console.WriteLine(a[i]);
        }
    }
}