using System;

using System.Text.RegularExpressions;

using System.Linq;

using System.IO;

​

namespace CalculateMaxPathSum

{

​

    public static class Program

        {

            private const string input2 = @" 215

                                         193 124

                                         117 237 442

                                         218 935 347 235

                                         320 804 522 417 345

                                         229 601 723 835 133 124

                                         248 202 277 433 207 263 257

                                         359 464 504 528 516 716 871 182

                                         461 441 426 656 863 560 380 171 923

                                         381 348 573 533 447 632 387 176 975 449

                                         223 711 445 645 245 543 931 532 937 541 444

                                         330 131 333 928 377 733 017 778 839 168 197 197

                                         131 171 522 137 217 224 291 413 528 520 227 229 928

                                         223 626 034 683 839 053 627 310 713 999 629 817 410 121

                                         924 622 911 233 325 139 721 218 253 223 107 233 230 124 233";

​

            public static void Main(string[] args)

            {

                int[,] convertedTriangle2 = input2.convertTo2DArrayWithoutSpaces();

                int maxSum2 = convertedTriangle2.moveDownwards();

​

                Console.WriteLine("The result for Question2 : " + maxSum2);

                if (maxSum2 == 0 || maxSum2 == -1)

                    Console.WriteLine("There is no possible path");

​

                Console.WriteLine("Enter the file path: (Ex: " + @"D:\input.txt" + ")");

                string cs = Console.ReadLine();

                string contents = File.ReadAllText(cs);             //read from file

​

                int[,] convertedTriangleFile = contents.convertTo2DArrayWithoutSpaces();

                int maxSumX = convertedTriangleFile.moveDownwards();

                Console.WriteLine("The result from File " + maxSumX);

                Console.ReadLine();

            }

​

            private static int moveDownwards(this int[,] matrixOfTriangle)

            {

                int length = matrixOfTriangle.GetLength(0);

​

                int res = -1;

                for (int i = 0; i < length - 2; i++)

                    res = Math.Max(res, matrixOfTriangle[0, i]);

​

                for (int i = 1; i < length; i++)

                {

                    res = -1;

                    for (int j = 0; j < length; j++)

                    {

                        if (j == 0 && matrixOfTriangle[i, j] != -1)

                        {

                            if (matrixOfTriangle[i - 1, j] != -1)

                                matrixOfTriangle[i, j] += matrixOfTriangle[i - 1, j];

                            else

                                matrixOfTriangle[i, j] = -1;

                        }

                        else if (j > 0 && j < length - 1 && matrixOfTriangle[i, j] != -1)

                        {

                            int tmp = calculateNodeValue(matrixOfTriangle[i - 1, j],

                                       matrixOfTriangle[i - 1, j - 1]);

                            if (tmp == -1)

                            {

                                matrixOfTriangle[i, j] = -1;

                            }

                            else

                                matrixOfTriangle[i, j] += tmp;

                        }

​

                        else if (j > 0 && matrixOfTriangle[i, j] != -1)

                        {

                            int tmp = calculateNodeValue(matrixOfTriangle[i - 1, j],

                                             matrixOfTriangle[i - 1, j - 1]);

                            if (tmp == -1)

                            {

                                matrixOfTriangle[i, j] = -1;

                            }

                            else

                                matrixOfTriangle[i, j] += tmp;

                        }

                        else if (j != 0 && j < length - 1 && matrixOfTriangle[i, j] != -1)

                        {

                            int tmp = calculateNodeValue(matrixOfTriangle[i - 1, j],

                                         matrixOfTriangle[i - 1, j - 1]);

                            if (tmp == -1)

                            {

                                matrixOfTriangle[i, j] = -1;

                            }

                            else

                                matrixOfTriangle[i, j] += tmp;

                        }

                        res = Math.Max(matrixOfTriangle[i, j], res);

                    }

                }

                return res;

            }

​

            private static int[,] convertTo2DArrayWithoutSpaces(this string input)

            {

                string[] array = input.Split(new[] { Environment.NewLine }, StringSplitOptions.RemoveEmptyEntries);  //remove spaces

​

                int[,] matrixOfTriangle = new int[array.Length, array.Length + 1];      //converting to a matrix

​

                for (var row = 0; row < array.Length; row++)

                {

                    int[] digitsInRow = Regex.Matches(array[row], "[0-9]+")

                        .Cast<Match>()

                        .Select(m => int.Parse(m.Value)).ToArray();

​

                    //  int[] digitsInRow = array[row].Split(' ').Select(int.Parse).ToArray();

                    for (var column = 0; column < digitsInRow.Length; column++)

                    {

                        matrixOfTriangle[row, column] = digitsInRow[column];

                    }

                }

                return matrixOfTriangle.removePrimeNumbers();  // checks non-prime numbers and returns them from converted array

            }

​

            private static int calculateNodeValue(int input1, int input2)  //returns max value

            {

                if (input1 == -1 && input2 == -1 || input1 == 0 && input2 == 0)

                    return -1;

                else

                    return Math.Max(input1, input2);

            }

​

            private static bool isPrime(this int number)

            {

                if ((number & 1) == 0)

                {

                    if (number == 2)

                    {

                        return true;

                    }

                    return false;

                }

                for (var i = 3; (i * i) <= number; i += 2)

                {

                    if (number % i == 0)

                    {

                        return false;

                    }

                }

                return number != 1;

            }

​

            private static int[,] removePrimeNumbers(this int[,] matrixOfTriangle)

            {

                int length = matrixOfTriangle.GetLength(0);

                for (var i = 0; i < length; i++)

                {

                    for (var j = 0; j < length; j++)

                    {

                        if (matrixOfTriangle[i, j] == 0)

                        {

                            continue;

                        }

                        else if (isPrime(matrixOfTriangle[i, j]))       //replacing prime numbers with -1 in matrix

                        {

                            matrixOfTriangle[i, j] = -1;

                        }

                    }

                }

                return matrixOfTriangle;

            }

        }

    }

​

​