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 sc = new Scanner(System.in);
    int N = Integer.parseInt(sc.nextLine());
    boolean first = true;
    boolean check = false; //true = +, false = -,
    int count = 1;
    int n = Integer.parseInt(sc.next());;
    for(int i = 0; i < N-1; i++){
      int m = Integer.parseInt(sc.next());
      if(first){
        if(n > m){
          check = true;  
          first = false;
          n = m;
        }else if(n < m){
          check = false;
          first = false;
          n = m;
        }
      }else{
        if((check && n > m) || (!check && n < m)){
          n = m;
        }else if((check && n < m) || (!check && n > m)){
          count++;
          first = true;
          n = m;
        }
      }
    }
    System.out.println(count);
  }
}