using System;
using System.IO;
using System.Diagnostics;
using Combinatorics.Collections;
using System.Collections.Generic;
using static System.Console;

namespace komvo
{
    class Program
    {
        public static List<Point> Points = new List<Point>();
        public static List<string> Infinitives = new List<string>();

        static void Main(string[] args)
        {
            Stopwatch stopwatch = new Stopwatch();
            stopwatch.Start();
            string file = "coord.txt";

            using (StreamReader cr = new StreamReader(file))
            {
                string line;
                while ((line = cr.ReadLine()) != null)
                {
                    string[] str = line.Split();
                    Points.Add(new Point { X = int.Parse(str[0]), Y = int.Parse(str[1]) });
                    WriteLine(str[0] + " " + str[1]);
                }
            }
            WriteLine();

            int matr = Points.Count;
            double[,] Matrix = new double[matr, matr];

            for (int i = 0; i < Points.Count; i++)
                for (int j = i; j < Points.Count - 1; j++)
                    Matrix[i, j + 1] = Matrix[j + 1, i] =
                        Math.Sqrt(Math.Pow(Points[j + 1].X - Points[i].X, 2) + Math.Pow(Points[j + 1].Y - Points[i].Y, 2));


            for (int i = 0; i < matr; i++)
            {
                for (int j = 0; j < matr; j++) Write("{0:00.00} ", Matrix[i, j]);
                WriteLine();
            }

            int[] toSwap = new int[Points.Count - 1];
            for (int i = 0; i <= toSwap.Length - 1; i++) toSwap[i] = i + 2;


            //for (int i = 0; i < toSwap.Length; i++) WriteLine(toSwap[i]);

            int fct = Fact(Points.Count - 1);

            string[] routes = new string[fct];
            double[] leng = new double[fct];

            double optim = leng[0];
            int oIndex = 0;

            Permutations<int> perm = new Permutations<int>(toSwap);
            int index = 0;
            foreach(IList<int> p in perm)
            {
                string res = string.Empty;
                for (int i = 0; i < toSwap.Length; i++) res += p[i].ToString() + ";";
                routes[index++] = res;
            }


            //for (int i = 0; i < routes.Length; i++) WriteLine(routes[i]);




            //CountLen(ref leng, Matrix, routes);
            CountLen2(ref leng, Matrix, routes);
            SearchBest(ref optim, ref oIndex, routes, leng);
            //Debug(routes);

            WriteLine("\n\n1{1}1 - оптимальный маршрут длинной {0:00.00}\nВсего маршрутов {2}\n{4} {3}",
                optim, routes[oIndex], routes.Length, fct, Points.Count);
            WriteLine(stopwatch.ElapsedMilliseconds + "ms");
            stopwatch.Stop();

            ReadKey();
        }


        public static void CountLen2(ref double[] result, double[,] mtr, string[] rts)
        {
            //WriteLine("loading 00%");
            for (int i = 0; i < rts.Length; i++)
            {
                double res = 0;
                //char[] ch = rts[i].ToCharArray();
                //CursorLeft -= 3;
                //int percent = i / rts.Length * 100;
                //Write("{0:00}%");

                string[] index = rts[i].Split(';');

                for (int j = 0; j < index.Length - 1; j++)
                {
                    string dg = index[j];
                    int db = int.Parse(index[j]) - 2;   //debug
                    string db1 = rts[i].ToString();             //debug
                    if (j == 0) res += mtr[0, int.Parse(index[j]) - 1];
                    else if (j == index.Length - 1)
                    {
                        res += mtr[int.Parse(index[j - 1]) - 2, int.Parse(index[j]) - 2];
                        res += mtr[0, int.Parse(index[j]) - 2];
                    }
                    else
                    {
                        res += mtr[int.Parse(index[j - 1]) - 2, int.Parse(index[j]) - 2];
                    }
                }
                result[i] = res;
            }
        }


        public static void CountLen (ref double[] result, double[,] mtr, string[] rts)
        {
            for (int i = 0; i < rts.Length; i++)
            {
                double res = 0;
                char[] ch = rts[i].ToCharArray();
                for (int j = 0; j < ch.Length; j++)
                {
                    int db = int.Parse(ch[j].ToString()) - 1;   //debug
                    string db1 = rts[i].ToString();             //debug
                    if (j == 0) res += mtr[0, int.Parse(ch[j].ToString()) - 1];
                    else if (j == ch.Length - 1)
                    {
                        res += mtr[int.Parse(ch[j - 1].ToString()) - 1, int.Parse(ch[j].ToString()) - 1];
                        res += mtr[0, int.Parse(ch[j].ToString()) - 1];
                    }
                    else
                    {
                        res += mtr[int.Parse(ch[j - 1].ToString()) - 1, int.Parse(ch[j].ToString()) - 1];
                    }
                }
                result[i] = res;
            }
        }

        public static void SearchBest(ref double optim, ref int oIndex, string[] routes, double[] leng)
        {
            optim = leng[0];
            oIndex = 0;
            for (int i = 0; i < leng.Length; i++)
            {
                //WriteLine("{0:N2} - {1}", leng[i], routes[i]);
                if (optim > leng[i])
                {
                    optim = leng[i];
                    oIndex = i;
                }
            }
        }

        public static void Debug (string[] routes)
        {
            for (int i = 0; i < routes.Length; i++)
            {
                for (int j = i + 1; j < routes.Length - 1; j++)
                    if (routes[i].Equals(routes[j])) WriteLine("{0} {2}:: {1} {3}!!!!", routes[i], routes[j], i, j);
            }
        }

        public partial struct Point
        {
            public int X { get; set; }
            public int Y { get; set; }
        }

        static int Fact(int a) => a <= 1 ? 1 : a * Fact(a - 1);
    }
}