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 Python (3.4.3) (judge verdict: Runtime Error)

N = int(input())
A_lst = [int(x) for x in input().split()]
B_lst =[]
for i in range(N - 1):
    B_lst.append(A_lst[i + 1] - A_lst[i])

def my_sign(n):
    return (n > 0) - (n < 0)

cnt = 1
i = 0
pm = my_sign(B_lst[0])
while True:
    if i >= len(B_lst) - 1:
        break
    else:
        if my_sign(B_lst[i + 1]) == 0:
            i += 1
            continue
        elif pm == my_sign(B_lst[i + 1]) or pm == 0:
            pm = my_sign(B_lst[i + 1])
            i += 1
            continue
        else:
            cnt += 1
            pm = my_sign(B_lst[i + 1])
            i +=2
print(cnt)