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>
using namespace std;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

#define rep(i,cc,n) for(int i=cc;i<n;++i)
#define lrep(i,cc,n) for(long long i=cc;i<n;++i)
#define sqrep(i,cc,n) for(long long i=cc;i*i<=n;++i)
#define rrep(i,cc,n) for(long i=cc;i>n;--i)
#define pii pair<int, int>
#define pll pair<long long, long long>
 
using ll = long long;

const vector<int> dx = {1, 0, -1, 0};
const vector<int> dy = {0, 1, 0, -1};
const ll inf = 1001001001;
const ll e9  = 1000000000;
const ll mod = 1000000007;


int main() {
  int n;
  cin >> n;
  vector<ll>a(n);
  rep(i, 0, n)cin >> a[i];
  if(n<=2){
      cout << 1 << endl;
  }
  int ans = 0;
  rep(i, 0, n){
      if(i+1<n&&a[i]==a[i+1])i++;
      if(i+1<n&&a[i]<a[i+1]){
          while(i<n-1&&a[i]<=a[i+1])i++;
      }
      else if(i+1<n&&a[i]>a[i+1]){
          while(i<n-1&&a[i]>=a[i+1])i++;
      }
      ans++;
  }
  cout << ans << endl; 
}