// includes #include // macros #define ll long long int #define pb emplace_back #define mk make_pair #define pq priority_queue #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define rep(i, n) FOR(i, 0, n) #define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--) #define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr) #define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr) #define vrep(v, i) for(int i = 0; i < (v).size(); i++) #define all(x) (x).begin(),(x).end() #define sz(x) ((int)(x).size()) #define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end()) #define FI first #define SE second #define dump(a, n) for(int i = 0; i < n; i++)cout << a[i] << "\n "[i + 1 != n]; #define dump2(a, n, m) for(int i = 0; i < n; i++)for(int j = 0; j < m; j++)cout << a[i][j] << "\n "[j + 1 != m]; #define bit(n) (1LL<<(n)) #define INT(n) int n; cin >> n; #define LL(n) ll n; cin >> n; #define DOUBLE(n) double n; cin >> n; using namespace std; // types typedef pair P; typedef pair Pl; typedef pair Pll; typedef pair Pd; typedef complex cd; // constants const int inf = 1e9; const ll linf = 1LL << 50; const double EPS = 1e-10; const int mod = 1e9 + 7; const int dx[4] = {-1, 0, 1, 0}; const int dy[4] = {0, -1, 0, 1}; // solve template bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;} template bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;} template istream &operator>>(istream &is, vector &vec){for(auto &v: vec)is >> v; return is;} template ostream &operator<<(ostream &os, const vector& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;} template ostream &operator<<(ostream &os, const set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_set& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const unordered_multiset& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;} template ostream &operator<<(ostream &os, const pair &p){os << p.first << " " << p.second; return os;} template ostream &operator<<(ostream &os, const map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} template ostream &operator<<(ostream &os, const unordered_map &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;} struct point3d{ double x, y, z; point3d(){} point3d(double x, double y, double z): x(x), y(y), z(z){} }; struct plane3d{ double a, b, c, d; double norm = 1.; plane3d(){} plane3d(double a, double b, double c, double d): a(a), b(b), c(c), d(d){ build(); } void build(){ norm = sqrt(a * a + b * b + c * c); } double dis(point3d p){ return abs(a * p.x + b * p.y + c * p.z + d) / norm; } }; plane3d get_eq(point3d pa, point3d pb, point3d pc){ plane3d res; res.a = (pb.y - pa.y) * (pc.z - pa.z) - (pc.y - pa.y) * (pb.z - pa.z); res.b = (pb.z - pa.z) * (pc.x - pa.x) - (pc.z - pa.z) * (pb.x - pa.x); res.c = (pb.x - pa.x) * (pc.y - pa.y) - (pc.x - pa.x) * (pb.y - pa.y); res.d = - (res.a * pa.x + res.b * pa.y + res.c * pa.z); res.build(); return res; } int main(int argc, char const* argv[]) { ios_base::sync_with_stdio(false); cin.tie(0); INT(n); point3d p; cin >> p.x >> p.y >> p.z; vector q(n); rep(i, n){ cin >> q[i].x >> q[i].y >> q[i].z; } double res = 0.; rep(i, n){ FOR(j, i + 1, n){ FOR(k, j + 1, n){ res += get_eq(q[i], q[j], q[k]).dis(p); } } } cout << setprecision(20); cout << res << endl; return 0; }