using System; using System.IO; using System.Text; using System.Linq; using System.Diagnostics; using System.Collections.Generic; using Enu = System.Linq.Enumerable; class Program { void Solve() { int N = reader.Int(); var P = Enu.Range(0, 3).Select(i => reader.Double()).ToArray(); var Qs = Enu.Range(0, N).Select(i => Enu.Range(0, 3).Select(j => reader.Double()).ToArray()).ToArray(); double ans = 0; for (int a = 0; a < N; a++) for (int b = a + 1; b < N; b++) for (int c = b + 1; c < N; c++) ans += Dist(P, Qs[a], Qs[b], Qs[c]); Console.WriteLine(ans); Console.ReadLine(); } double Dist(double[] P, double[] Q1, double[] Q2, double[] Q3) { double x1 = Q1[0], y1 = Q1[1], z1 = Q1[2]; double x2 = Q2[0], y2 = Q2[1], z2 = Q2[2]; double x3 = Q3[0], y3 = Q3[1], z3 = Q3[2]; double a = (y2 - y1) * (z3 - z1) - (y3 - y1) * (z2 - z1); double b = (z2 - z1) * (x3 - x1) - (z3 - z1) * (x2 - x1); double c = (x2 - x1) * (y3 - y1) - (x3 - x1) * (y2 - y1); double d = -(a * x1 + b * y1 + c * z1); return Math.Abs(a * P[0] + b * P[1] + c * P[2] + d) / Math.Sqrt(a * a + b * b + c * c); } static void Main() { new Program().Solve(); } Reader reader = new Reader(Console.In); class Reader { private readonly TextReader reader; private readonly char[] separator = { ' ' }; private readonly StringSplitOptions removeOp = StringSplitOptions.RemoveEmptyEntries; private string[] A = new string[0]; private int i; public Reader(TextReader r) { reader = r; } public bool HasNext() { return Enqueue(); } public string String() { return Dequeue(); } public int Int() { return int.Parse(Dequeue()); } public long Long() { return long.Parse(Dequeue()); } public double Double() { return double.Parse(Dequeue()); } public int[] IntLine() { var s = Line(); return s == "" ? new int[0] : Array.ConvertAll(Split(s), int.Parse); } public int[] IntArray(int N) { return Enumerable.Range(0, N).Select(i => Int()).ToArray(); } public int[][] IntGrid(int H) { return Enumerable.Range(0, H).Select(i => IntLine()).ToArray(); } public string[] StringArray(int N) { return Enumerable.Range(0, N).Select(i => Line()).ToArray(); } public string Line() { return reader.ReadLine().Trim(); } private string[] Split(string s) { return s.Split(separator, removeOp); } private bool Enqueue() { if (i < A.Length) return true; string line = reader.ReadLine(); if (line == null) return false; if (line == "") return Enqueue(); A = Split(line); i = 0; return true; } private string Dequeue() { Enqueue(); return A[i++]; } } }