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


class Program {

	const long mod = 1000000007;
	//public static int[] max;

	static void Main(string[] args) {

		char[] cs = new char[] { ' ', ',' };
		//int val = int.Parse(Console.ReadLine());
		//int[] vals = parseAry(Console.ReadLine().Split(cs));
		//int val = int.Parse(Console.ReadLine());
		//string str = Console.ReadLine();
		//string[] strs = Console.ReadLine().Split(cs);

		//int[] vals = parseAry(Console.ReadLine().Split(cs));
		//int n = vals[0];
		//string res="";

		//int y = vals[0];
		//int x = vals[1];

		int val = int.Parse(Console.ReadLine());
		int[] vals = parseAry(Console.ReadLine().Split(cs));

		int[] res = new int[26];

		int r = 1;
		int flg = 0;

		for (int i = 0; i < vals.Length-1; i++) {
			if (flg == 0) {
				if (vals[i + 1] > vals[i]) { flg = 1; }
				if (vals[i + 1] == vals[i]) { flg = 0; }
				if (vals[i + 1] < vals[i]) { flg = -1; }
				continue;
			} else if (flg == 1) {
				if (vals[i + 1] >= vals[i]) { }
				if (vals[i + 1] < vals[i]) { flg = -0; r++; }
				continue;
			}else if (flg == -1) {
				if (vals[i + 1] >= vals[i]) { flg = 0; r++; }
				if (vals[i + 1] <= vals[i]) { }
				continue;
			}
			
		}



		Console.WriteLine(r);


		return;
	}



	//　String[]  ----->  int[]
	static int[] parseAry(string[] str) {
		int[] nums = new int[str.Length];
		for (int i = 0; i < str.Length; i++) { nums[i] = int.Parse(str[i]); }
		return nums;
	}
	//　String[]  ----->  long[]
	static long[] parseAryl(string[] str) {
		long[] nums = new long[str.Length];
		for (int i = 0; i < str.Length; i++) { nums[i] = int.Parse(str[i]); }
		return nums;
	}



	//文字列を1文字ずつString[]に入れる
	static string[] strAry(String str) {
		string[] re = new string[str.Length];
		for (int i = 0; i < str.Length; i++) { re[i] = str[i].ToString(); }
		return re;
	}

}