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: Accepted)

n = int(input())
dat = list(map(int, input().split()))
mode = 0 #  0: None, 1: add, 2: sub
res = 1
for i in range(1, n):
    if mode == 0:
        if dat[i-1] == dat[i]:
            mode = 0
        if dat[i-1] > dat[i]:
            mode = 2
        if dat[i-1] < dat[i]:
            mode = 1
    if mode == 1:
        if dat[i-1] == dat[i]:
            pass
        if dat[i-1] > dat[i]:
            res += 1
            mode = 0
        if dat[i-1] < dat[i]:
            pass
    if mode == 2:
        if dat[i-1] == dat[i]:
            pass
        if dat[i-1] > dat[i]:
            pass
        if dat[i-1] < dat[i]:
            res += 1
            mode = 0
print(res)