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)

import sys

read= sys.stdin.buffer.read
readline = sys.stdin.buffer.readline
readlines = sys.stdin.buffer.readlines
MOD = 1000000007
sys.setrecursionlimit(10**7)

N = int(readline())
A = list(map(int,readline().split()))

res = 0

in_i = 0
de_i = 0
i = 0
while i <= N-1:
    for j in range(i+1,N):
        if A[j] >= A[j-1]:continue
        else:
            break

    in_i = j
    for j in range(i+1,N):
        if A[j] <= A[j-1]:continue
        else:
            break
    de_i = j

    i = max(de_i,in_i)
    res+=1
print(i)

print(res)