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 <bits/stdc++.h>
#include <math.h>
using namespace std;
typedef long long int ll;
#define rep(i, n) for (int i = 0; i < n; i++)
#define cinf(n,x) for(int i=0;i<(n);i++) cin >> x[i];

int main(){
  ll N;
  cin >> N;
  ll A[110000] ;
  cinf(N,A) ;
  ll ans=1 ;
  for(int i=0;i<N-2;){
    if((A[i+1]-A[i])*(A[i+2]-A[i+1]) <0){
      ans++;
      i +=2 ;
    }
    else 
      i ++;  
  }
  cout << ans << endl;
}