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.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Main {

    public static void main(String[] args) throws NumberFormatException, IOException {

        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int intCnt = Integer.parseInt(br.readLine());
        String[] lineArray = br.readLine().split(" ");

        int intResultCnt = 0;
        int intBefore = 0;
        String strFlg = "";

        for (int i = 0; i < lineArray.length; i++) {
            int intTmp = Integer.parseInt(lineArray[i]);

            if (intTmp > intBefore) {
                if (!"+".equals(strFlg)) {
                    intResultCnt++;
                }
                strFlg = "+";
            }
            if (intTmp < intBefore) {
                if ("+".equals(strFlg)) {
                    strFlg = "-";
                } else if ("-".equals(strFlg)) {
                    intResultCnt++;
                    strFlg = "--";
                }
            }
            intBefore = intTmp;
        }

        if ("-".equals(strFlg)) {
            intResultCnt += 1;
        }
        System.out.println(intResultCnt);

    }
}