3D Slices

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace _04._3DSlices
{
    class Program
    {
        static void Main(string[] args)
        {
            string dimensions = Console.ReadLine();
            string[] sizes = dimensions.Split();
            int width = int.Parse(sizes[0]);
            int height = int.Parse(sizes[1]);
            int depth = int.Parse(sizes[2]);

            int[, ,] cube = new int[width, height, depth];
            long totalSum = 0;
            for (int i = 0; i < height; i++)
            {
                string row = Console.ReadLine();
                char[] seperator = {'|'};
                string[] numbers = row.Split(seperator);
                for (int j = 0; j < depth; j++)
                {
                    string[] newLines = numbers[j].Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries);

                    for (int k = 0; k < width; k++)
                    {
                        try                              //This was added because several tests return OutOfRangeException
                        {
                            int value = int.Parse(newLines[k]);
                            cube[k, i, j] = value;
                            totalSum += value;
                        }
                        catch (IndexOutOfRangeException)
                        {
                            Console.WriteLine("i {0}, j {1}, k {2}", i, j, k);
                            throw;
                        }


                    }
                }
            }

            if (width == 1 && height == 1 && depth == 1)
            {
                Console.WriteLine(0);
            }
            else
            {
                int heightCombinations = CheckHeight(cube, width, height, depth, totalSum);
                int depthCombinations = CheckDepth(cube, width, height, depth, totalSum);
                int widthCombinations = CheckWidth(cube, width, height, depth, totalSum);

                Console.WriteLine(heightCombinations + depthCombinations + widthCombinations);
            }


            //for (int i = 0; i < height; i++)
            //{

            //    for (int j = 0; j < depth; j++)
            //    {
            //        for (int k = 0; k < width; k++)
            //        {
            //            Console.Write(cube[k, i, j]);
            //        }
            //        Console.Write('|');
            //    }
            //    Console.WriteLine();
            //}
        }

        static int CheckWidth(int[, ,] cube, int width, int height, int depth, long totalSum)
        {
            int combinations = 0;
            int totalWidthSum = 0;

            for (int w = 0; w < width - 1; w++)
            {
                for (int h = 0; h < height; h++)
                {
                    for (int d = 0; d < depth; d++)
                    {
                        totalWidthSum += cube[w, h, d];
                    }
                }
                if (totalWidthSum * 2 == totalSum)
                {
                    combinations++;
                }
            }
            return combinations;
        }

        static int CheckDepth(int[, ,] cube, int width, int height, int depth, long totalSum)
        {
            int combinations = 0;
            int totalDepthSum = 0;

            for (int d = 0; d < depth - 1; d++)
            {
                for (int h = 0; h < height; h++)
                {
                    for (int w = 0; w < width; w++)
                    {
                        totalDepthSum += cube[w, h, d];
                    }
                }
                if (totalDepthSum * 2 == totalSum)
                {
                    combinations++;
                }
            }
            return combinations;
        }

        static int CheckHeight(int[, ,] cube, int width, int height, int depth, long totalSum)
        {
            int combinations = 0;
            int totalHeightSum = 0;

            for (int i = 0; i < height - 1; i++)
            {
                for (int j = 0; j < depth; j++)
                {
                    for (int k = 0; k < width; k++)
                    {
                        totalHeightSum += cube[k, i, j];
                    }
                }
                if (totalHeightSum*2 == totalSum)
                {
                    combinations++;
                }
            }
            return combinations;
        }


    }
}