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 = list(map(int, input().split()))

B = []
tmp = -1
for a in A:
    if a != tmp:
        B.append(a)
        tmp = a

def f(A):
    ans = 1
    n = len(A)
    if A[0] < A[1]:
        ff = 1
    else:
        ff = -1
    for i in range(1, n - 1):
        if ff == 0:
            if A[i] < A[i + 1]:
                ff = 1
            else:
                ff = -1
        elif ff == 1:
            if A[i] > A[i + 1]:
                ans += 1
                ff = 0
        else:
            if A[i] < A[i + 1]:
                ans += 1
                ff = 0
    return ans

print(f(B))