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 Pascal (FPC 2.6.2) (judge verdict: Accepted)

var n,i,t,x,y,ans:longint;
procedure fresh;inline;
begin
  t:=0;inc(ans);
end;
begin
  read(n,x);
  for i:=2 to n do
  begin
    read(y);
    case t of
      0:if x>y then t:=1 else
        if x<y then t:=2;
      1:if x<y then fresh;
      2:if x>y then fresh;
    end;
    x:=y;
  end;
  writeln(ans+1);
end.