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

class E { static void Main() => new J(); }
class J
{
	int F() => int.Parse(ReadLine());
	int[] G() => ReadLine().Split(new char[] { ' ', '\t' }, StringSplitOptions.RemoveEmptyEntries).Select(int.Parse).ToArray();
	int MOD = 1000000007;
	public J()
	{
		SetOut(new StreamWriter(OpenStandardOutput()) { AutoFlush = false });
		Solve();
		Out.Flush();
	}
	void Solve()
	{
		var N = F();
		var A = G();
		var c = 0;
		var last = -1;
		var mode = 0;
		for (var i = 0; i < N; i++)
		{
			if (last == -1)
			{
				c++;
				last = A[i];
			}
			else if ((mode == 1 && last < A[i]) || (mode == -1 && last > A[i])) last = A[i];
			else if (mode == 0 && last != A[i])
			{
				mode = A[i] - last > 0 ? 1 : -1;
				last = A[i];
			}
			else if (mode != 0)
			{
				last = -1;
				mode = 0;
				i--;
			}
		}
		WriteLine(c);
	}
}