// yukicoder 132 (http://yukicoder.me/problems/147) #include #include #define rep(i,a) for(int i=0;i<(a);++i) const int MAX_N = 300; struct Pt { double x, y, z; Pt( double x = 0, double y = 0, double z = 0 ) : x(x), y(y), z(z) {} Pt operator- ( const Pt &p ) const { return Pt( x-p.x, y-p.y, z-p.z ); } double norm() const { return sqrt(x*x+y*y+z*z); } double dot( const Pt &p ) const { return x*p.x+y*p.y+z*p.z; } Pt cross( const Pt &p ) const { return Pt( y*p.z-z*p.y, z*p.x-x*p.z, x*p.y-y*p.x ); } }; int N; Pt P, pts[MAX_N]; double dist( int i, int j, int k ) { Pt n = (pts[j]-pts[i]).cross( pts[k]-pts[i] ); return fabs(n.dot(P)-pts[i].dot(n))/n.norm(); } int main() { scanf( "%d%lf%lf%lf", &N, &P.x, &P.y, &P.z ); rep( i, N ) scanf( "%lf%lf%lf", &pts[i].x, &pts[i].y, &pts[i].z ); double ans = 0; rep( i, N ) rep( j, i ) rep( k, j ) ans += dist(i,j,k); printf( "%.12f\n", ans ); return 0; }