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<stdio.h>
#include<iostream>
#include<string>
#include<math.h>
#include<cmath>
#include<algorithm>
#include<map>
#include<queue>
#include<stack>
#include<vector>
#include<time.h>
#include<ctime>
#include<functional>
#define int long long
#define INT INT_MAX
#define LONG LLONG_MAX
#define f(i,n) for(int i=0;i<(n);i++)
#define P pair<int,int>
typedef long long ll;
using namespace std;

signed main() {
	int n, a[100000], x = 1;
	cin >> n;
	f(i, n) cin >> a[i];
	char c;
	if (a[0] > a[1]) c = '>';
	else c = '<';
	f(i, n-2) {
		if (c == '>'&&a[i + 1] < a[i + 2]) {
			x++;
			c = '<';
		}
		if (c == '<'&&a[i + 1] > a[i + 2]) {
			x++;
			c = '>';
		}
	}
	cout << x << endl;
	return 0;
}