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: Wrong Answer)

import java.util.Scanner;
import java.util.*;
public class Main {
    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        List<Integer> a = new ArrayList<>();
        for (int i = 0; i < n; i++) {
            a.add(sc.nextInt());
        }
        boolean plus = false;
        boolean minus = false;
        int cnt = 1;
        for (int i = 0; i < n - 1; i++) {
            if (a.get(i + 1) - a.get(i) == 0) {
                plus = false;
                minus = false;
                continue;
            }
            if (a.get(i + 1) - a.get(i) > 0) {
                if (minus) {
                    cnt++;
                    plus = false;
                    minus = false;
                    continue;
                }
                plus = true;
            } else if (a.get(i + 1) - a.get(i) < 0) {
                if (plus) {
                    cnt++;
                    plus = false;
                    minus = false;
                    continue;
                }
                minus = true;
            }
        }
        System.out.println(cnt);
    }
}