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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;

public class Main{

    public static void main(String[] args){
        Scanner scan = new Scanner(System.in);

        // input
        int num = scan.nextInt();
        int direction = 0;
        boolean wait = true;
        int count = 1;
        int memory = Integer.parseInt(scan.next());
        for(int i = 1; i < num; i++){
            int temp = Integer.parseInt(scan.next());
            if(wait){
                if(temp > memory){
                    direction = 1;
                    wait = false;
                } else if (temp < memory){
                    direction = -1;
                    wait = false;
                } else {
                    direction = 0;
                }
            } else {
                if(direction == 1 && temp < memory){
                    count++;
                    direction = 0;
                    wait = true;
                } else if(direction == -1 && temp > memory){
                    count++;
                    direction = 0;
                    wait = true;
                }
            }
            memory = temp;
        }

        // answer
        System.out.println(count);
    }
}