#include #include #include #include using namespace std; #define RREP(i,s,e) for (i = s; i >= e; i--) #define rrep(i,n) RREP(i,(int)(n)-1,0) #define REP(i,s,e) for (i = s; i <= e; i++) #define rep(i,n) REP(i,0,(int)(n)-1) #define INF 100000000 typedef long long ll; double det(double* p, double* q, double* r) { int i; double ret = 0; rep (i,3) ret += p[i]*q[(i+1)%3]*r[(i+2)%3]; rep (i,3) ret -= p[i]*q[(i+2)%3]*r[(i+1)%3]; return ret; } double calc_area(double* p, double* q) { int i; double ret = 0; ret += (p[1]*q[2]-p[2]*q[1]) * (p[1]*q[2]-p[2]*q[1]); ret += (p[2]*q[0]-p[0]*q[2]) * (p[2]*q[0]-p[0]*q[2]); ret += (p[0]*q[1]-p[1]*q[0]) * (p[0]*q[1]-p[1]*q[0]); return sqrt(ret); } int main() { int i, j, k, l, n; double p[3], a[3], b[3]; double xyz[300][3]; double ans = 0; cin >> n; rep (i,3) cin >> p[i]; rep (i,n) { cin >> xyz[i][0] >> xyz[i][1] >> xyz[i][2]; rep (j,3) xyz[i][j] -= p[j]; } rep (i,n) REP (j,i+1,n-1) REP (k,j+1,n-1) { double vol = abs(det(xyz[i],xyz[j],xyz[k])/6); rep (l,3) a[l] = xyz[j][l] - xyz[i][l]; rep (l,3) b[l] = xyz[k][l] - xyz[i][l]; double area = calc_area(a,b) / 2; ans += vol * 3 / area; } cout << fixed << setprecision(10) << ans << endl; return 0; }