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

res = 1
flag = 0
prev = a[0]
for i in a:
    # 前と値が変わらない
    if prev==i:
        tmp = 0
    # 前より大きい
    elif prev<i:
        tmp = 1
    # 前より小さい
    else:
        tmp = -1

    if tmp==1:
        if flag==-1:
            flag = 0
            res += 1
        else:
            flag = tmp
    elif tmp==-1:
        if flag==1:
            flag = 0
            res += 1
        else:
            flag = tmp

    #print(i,res)
    prev = i

print(res)