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Implement in C# please Consider the following 66 grid. A perfect maze of this grid is created by carrying out a depth-first search starting at
Implement in C# please
Consider the following 66 grid. A perfect maze of this grid is created by carrying out a depth-first search starting at any position (cell) and removing the "wall" when the search moves to an adjacent unvisited cell. The perfect maze is represented as a two-dimensional matrix as defined below. public class Maze \{ private char[,] M; private int size; public Maze(int n){} private void Initialize() {} // Called by the constructor private void Create() {} // Called by the constructor private void DepthFirstSearch(int i, int j, bool[,] visited) {...}//CalledbyCreate public void Print( ){} \} Tasks 1) Implement each of the above methods, keeping in mind the following requirements. a. The method Initialize populates matrix M with blank characters and walls (e.g. '-' and '|'). The size of the matrix may be greater than n to accommodate the "walls" and any other boundaries. b. The method Create invokes DepthFirstSearch to build the perfect maze. As the depth-first search is performed, if two or more adjacent positions are unvisited, then one direction is randomly chosen. 2) Implement a main program to test the methods of Maze for n=0,1,2,5,10,20. (8)Step by Step Solution
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