#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int (i)=0;(i)<(int)(n);++(i)) #define rer(i,l,u) for(int (i)=(int)(l);(i)<=(int)(u);++(i)) #define reu(i,l,u) for(int (i)=(int)(l);(i)<(int)(u);++(i)) #if defined(_MSC_VER) || __cplusplus > 199711L #define aut(r,v) auto r = (v) #else #define aut(r,v) __typeof(v) r = (v) #endif #define each(it,o) for(aut(it, (o).begin()); it != (o).end(); ++ it) #define all(o) (o).begin(), (o).end() #define pb(x) push_back(x) #define mp(x,y) make_pair((x),(y)) #define mset(m,v) memset(m,v,sizeof(m)) #define INF 0x3f3f3f3f #define INFL 0x3f3f3f3f3f3f3f3fLL using namespace std; typedef vector vi; typedef pair pii; typedef vector > vpii; typedef long long ll; template inline void amin(T &x, U y) { if(y < x) x = y; } template inline void amax(T &x, U y) { if(x < y) x = y; } struct Point { double x, y, z; }; double sq(double x) { return x * x; } int main() { int N; while(~scanf("%d", &N)) { Point org; scanf("%lf%lf%lf", &org.x, &org.y, &org.z); vector points(N); rep(i, N) { Point p; scanf("%lf%lf%lf", &p.x, &p.y, &p.z); p.x -= org.x; p.y -= org.y; p.z -= org.z; points[i] = p; } vector > dist(N, vector(N)); rep(i, N) rep(j, i) { const Point &p = points[i], &q = points[j]; dist[i][j] = sqrt(sq(p.x - q.x) + sq(p.y - q.y) + sq(p.z - q.z)); } double ans = 0; rep(i, N) reu(j, i + 1, N) reu(k, j + 1, N) { const double A[3][3] = { { points[i].x, points[i].y, points[i].z }, { points[j].x, points[j].y, points[j].z }, { points[k].x, points[k].y, points[k].z }, }; double a = dist[j][i], b = dist[k][j], c = dist[k][i]; double s = (a + b + c) / 2; double area = sqrt(s * (s - a) * (s - b) * (s - c)); double det = 0; det += A[0][0] * A[1][1] * A[2][2]; det -= A[0][0] * A[1][2] * A[2][1]; det -= A[0][1] * A[1][0] * A[2][2]; det += A[0][1] * A[1][2] * A[2][0]; det += A[0][2] * A[1][0] * A[2][1]; det -= A[0][2] * A[1][1] * A[2][0]; double height = abs(det) / 2 / area; ans += height; } printf("%.10f\n", ans); } return 0; }