Problem:
Score : 200 points

Problem Statement

We have a permutation p = {p_1,\ p_2,\ ...,\ p_n} of {1,\ 2,\ ...,\ n}.

Print the number of elements p_i (1 < i < n) that satisfy the following condition:

p_i is the second smallest number among the three numbers p_{i - 1}, p_i, and p_{i + 1}.

Constraints

All values in input are integers.

3 \leq n \leq 20

p is a permutation of {1,\ 2,\ ...,\ n}.

Input

Input is given from Standard Input in the following format:

n
p_1 p_2 ... p_n

Output

Print the number of elements p_i (1 < i < n) that satisfy the condition.

Sample Input 1

5
1 3 5 4 2

Sample Output 1

2

p_2 = 3 is the second smallest number among p_1 = 1, p_2 = 3, and p_3 = 5. Also, p_4 = 4 is the second smallest number among p_3 = 5, p_4 = 4, and p_5 = 2. These two elements satisfy the condition.

Sample Input 2

9
9 6 3 2 5 8 7 4 1

Sample Output 2

5

Solution in Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)


import java.util.*;


public class Main {
	
	
	public static void main(String[] args) {

		Scanner s = new Scanner(System.in);
		
		int n = s.nextInt();
		int[] a = new int[n+1];
		for(int i = 1;i<=n;i++)a[i] = s.nextInt();
		int c=  0;
		for(int i = 2;i<n;i++)
		{
			if((a[i]>a[i-1]&&a[i]>a[i+1])||(a[i]<a[i-1]&&a[i]<a[i+1]))
			{}else c++;
		}
		
		 System.out.println(c);
	}
}