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 C# (.NET Core 3.1.201) (judge verdict: Wrong Answer)


using System;
using System.Linq;

namespace testing
{
    class Program
    {

        static void Main(string[] args)
        {
            int N = int.Parse(Console.ReadLine());
            int[] a = Console.ReadLine().Split().Select(int.Parse).ToArray();
            int counter = 0;
            for (int i = 0; i < N - 3; i++)
            {
                int[] vs = new int[] { a[i], a[i + 1], a[i + 2] };
                Array.Sort(vs);
                if (vs[1] == a[i + 1])
                {
                    counter++;
                }
            }
            Console.WriteLine(counter);
        }
    }
}