#define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef pair i_i; typedef pair ll_i; typedef pair d_i; typedef pair ll_ll; typedef pair d_d; struct edge { int u, v, w; }; ll MOD = 1000000007; ll _MOD = 1000000009; double EPS = 1e-10; int main() { int N; cin >> N; double px, py, pz; cin >> px >> py >> pz; vector x(N), y(N), z(N); for (int i = 0; i < N; i++) cin >> x[i] >> y[i] >> z[i]; double sum = 0; for (int i = 0; i < N; i++) for (int j = i + 1; j < N; j++) for (int k = j + 1; k < N; k++) { double a11 = x[i] - px, a12 = x[j] - px, a13 = x[k] - px; double a21 = y[i] - py, a22 = y[j] - py, a23 = y[k] - py; double a31 = z[i] - pz, a32 = z[j] - pz, a33 = z[k] - pz; double det = a11*a22*a33 + a12*a23*a31 + a13*a21*a32 - a11*a23*a32 - a12*a21*a33 - a13*a22*a31; double dx1 = x[i] - x[j], dx2 = x[j] - x[k], dx3 = x[k] - x[i]; double dy1 = y[i] - y[j], dy2 = y[j] - y[k], dy3 = y[k] - y[i]; double dz1 = z[i] - z[j], dz2 = z[j] - z[k], dz3 = z[k] - z[i]; double a = sqrt(dx1 * dx1 + dy1 * dy1 + dz1 * dz1); double b = sqrt(dx2 * dx2 + dy2 * dy2 + dz2 * dz2); double c = sqrt(dx3 * dx3 + dy3 * dy3 + dz3 * dz3); double s = (a + b + c) / 2; double S = sqrt(s * (s - a) * (s - b) * (s - c)); sum += abs(det) / S; } printf("%.10f\n", sum / 2); }