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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <iostream>
#include <vector>
using namespace std;

int main() {
    int N; cin >> N;
    vector<long long> A(N);
    for(int i = 0; i < N; ++i) cin >> A[i];
    
    int res = 0;
    for(int i = 0; i < N; ++i) {
        if(i+1 < N && A[i] < A[i+1]) {
            while(A[i] < A[i+1]) ++i;
        } else if(i+1 < N && A[i] >= A[i+1]){
            while(A[i] >= A[i+1]) ++i;
        }
        
        ++res;
    }
    
    cout << res << endl;
}