#include using namespace std; using ll = long long; ll gcd(ll a, ll b) { return (a ? gcd(b % a, a) : b); } int main () { int N; cin >> N; ll X[2020], Y[2020]; for (int i = 0; i < N; i ++) cin >> X[i] >> Y[i]; int ans = 0; using P = pair; P A[2020]; for (int i = 0; i < N; i ++) { for (int j = 1; j < N; j ++) { int k = (i + j) % N; ll dx = X[k] - X[i], dy = Y[k] - Y[i]; ll g = gcd(abs(dx), abs(dy)); A[j - 1] = P{dx / g, dy / g}; } sort(A, A + (N - 1)); for (int j = 0; j < N - 2; j ++) { if (A[j] == A[j + 1]) { ans ++; break; } } } cout << ans << endl; }