Largest product in a grid

Problem 11 Project Euler 

In the 20×20 grid below, four numbers along a diagonal line have been marked in red.

08 02 22 97 38 15 00 40 00 75 04 05 07 78 52 12 50 77 91 08
49 49 99 40 17 81 18 57 60 87 17 40 98 43 69 48 04 56 62 00
81 49 31 73 55 79 14 29 93 71 40 67 53 88 30 03 49 13 36 65
52 70 95 23 04 60 11 42 69 24 68 56 01 32 56 71 37 02 36 91
22 31 16 71 51 67 63 89 41 92 36 54 22 40 40 28 66 33 13 80
24 47 32 60 99 03 45 02 44 75 33 53 78 36 84 20 35 17 12 50
32 98 81 28 64 23 67 10 26 38 40 67 59 54 70 66 18 38 64 70
67 26 20 68 02 62 12 20 95 63 94 39 63 08 40 91 66 49 94 21
24 55 58 05 66 73 99 26 97 17 78 78 96 83 14 88 34 89 63 72
21 36 23 09 75 00 76 44 20 45 35 14 00 61 33 97 34 31 33 95
78 17 53 28 22 75 31 67 15 94 03 80 04 62 16 14 09 53 56 92
16 39 05 42 96 35 31 47 55 58 88 24 00 17 54 24 36 29 85 57
86 56 00 48 35 71 89 07 05 44 44 37 44 60 21 58 51 54 17 58
19 80 81 68 05 94 47 69 28 73 92 13 86 52 17 77 04 89 55 40
04 52 08 83 97 35 99 16 07 97 57 32 16 26 26 79 33 27 98 66
88 36 68 87 57 62 20 72 03 46 33 67 46 55 12 32 63 93 53 69
04 42 16 73 38 25 39 11 24 94 72 18 08 46 29 32 40 62 76 36
20 69 36 41 72 30 23 88 34 62 99 69 82 67 59 85 74 04 36 16
20 73 35 29 78 31 90 01 74 31 49 71 48 86 81 16 23 57 05 54
01 70 54 71 83 51 54 69 16 92 33 48 61 43 52 01 89 19 67 48

The product of these numbers is 26 × 63 × 78 × 14 = 1788696.

What is the greatest product of four adjacent numbers in the same direction (up, down, left, right, or diagonally) in the 20×20 grid?

using System;
using System.Collections.Generic;
using System.IO;
using System.Linq;
class Solution {

    static void Main(String[] args) {
        int[][] grid = new int[20][];
        for(int grid_i = 0; grid_i < 20; grid_i++){
        	string[] grid_temp = Console.ReadLine().Split(' ');
        	grid[grid_i] = Array.ConvertAll(grid_temp,Int32.Parse);
            
        }
        Console.WriteLine(ProductOfNumbers(grid));
    }
    
    static long ProductOfNumbers(int[][] grid)
    {
            long product = 0;
            for (int i = 0; i < grid.Length; i++)
            {
                for (int j = 0; j < grid.Length; j++)
                {
                    var arr = new long[6];
                    var r = grid.Length-3;
                    // Horizontally 
                    if (j < r)
                        arr[0] = grid[i][j] * grid[i][j + 1] * grid[i][j + 2] * grid[i][j + 3];
                    
                    // Vertically
                    if (i < r)
                        arr[1] = grid[i][j] * grid[i + 1][j] * grid[i + 2][j] * grid[i + 3][j];
                    
                    // Diagonnally Right 
                    if (i < r && j < r)
                        arr[2] = grid[i][j] * grid[i + 1][j + 1] * grid[i + 2][j + 2] * grid[i + 3][j + 3];
                    
                    // Diagonnally 
                    if (i >= 3 && j >= 3 && i< r)
                    {
                        // Left Down
                        arr[3] = grid[i][j] * grid[i + 1][j - 1] * grid[i + 2][j - 2] * grid[i + 3][j-3];
                        
                        // Right Up
                        if(j < r)
                            arr[4] = grid[i][j]*grid[i-1][j+1]*grid[i-2][j+2]*grid[i-3][j+3];
                        
                    }

                    arr[5] = product;

                    product = arr.Max();
                }
            }
            
        return product;
    }
}

Live Code On Ide One