problem solving ideas
A turning point is a higher point or a lower point.
Count the number of turning points.
When a[i] > a[i - 1] && a[i] > a[i + 1], the point is a higher point, and the answer is + 1
When a[i] < a[i - 1] && a[i] < a[i + 1], the point is lower and answer + 1
Code
#include <iostream>
#include <cstring>
#include <algorithm>
#include <vector>
#include <sstream>
#include <set>
using namespace std;
const int N = 1010;
int a[N];
int main()
{
int n;
cin >> n;
for (int i = 1; i <= n; i ++) cin >> a[i];
int res = 0;
for (int i = 2; i < n; i ++)
{
if (a[i] > a[i - 1] && a[i] > a[i + 1]) res ++; //较高点
if (a[i] < a[i - 1] && a[i] < a[i + 1]) res ++; //较低点
}
cout << res;
return 0;
}