Find longest path in maze

Here given code implementation process.

// C program  
// Find longest path in maze 
#include <stdio.h>

#define ROW 4
#define COL 9
//Print grid elements
void printPath(int grid[ROW][COL])
{
	int i = 0;
	int j = 0;
	for (i = 0; i < ROW; ++i)
	{
		for (j = 0; j < COL; ++j)
		{
			printf(" %d\t", grid[i][j]);
		}
		printf("\n");
	}
	printf("\n");
}
// Copy visitor element to output collection
void copyResult(int visitor[ROW][COL], int output[ROW][COL])
{
	int i = 0;
	int j = 0;
	for (i = 0; i < ROW; ++i)
	{
		for (j = 0; j < COL; ++j)
		{
			// Assign element
			output[i][j] = visitor[i][j];
		}
	}
}
// Find all paths which is exist in given source to destination position
// r and c is Source point
// x and y is destination point 
void findPath(int collection[ROW][COL], int visitor[ROW][COL], int output[ROW][COL], int r, int c, int x, int y, int *length, int counter)
{
	if (r < 0 || r >= ROW || c < 0 || c >= COL)
	{
		//When not valid position
		return ;
	}
	else if (r == x && c == y)
	{
		//When we get destination position
		if (visitor[r][c] == 0 && *length < counter)
		{
			*length = counter;
			copyResult(visitor, output);
			//When destination are active element
			output[r][c] = counter + 1;
		}
	}
	if (visitor[r][c] != 0)
	{
		//When the element has been already been visited
		return ;
	}
	if (collection[r][c] == 1)
	{
		//Active visiting node
		visitor[r][c] = counter + 1;
		//Test four possible direction
		findPath(collection, visitor, output, r + 1, c, x, y, length, counter + 1);
		findPath(collection, visitor, output, r, c + 1, x, y, length, counter + 1);
		findPath(collection, visitor, output, r - 1, c, x, y, length, counter + 1);
		findPath(collection, visitor, output, r, c - 1, x, y, length, counter + 1);
		// Deactivate visited node status
		visitor[r][c] = 0;
	}
}
//Handles the request to find maze solution
// r and c is Source point
// x and y is destination point 
void longestPath(int collection[ROW][COL], int r, int c, int x, int y)
{
	// x and y destination point
	if (x < 0 || x >= ROW || y < 0 || y >= COL)
	{
		return;
	}
	if (r < 0 || r >= ROW || c < 0 || c >= COL)
	{
		// r and c Source point
		return;
	}
	else if (collection[r][c] == 0)
	{
		printf("\n Source are not active \n");
	}
	else if (collection[x][y] == 0)
	{
		printf("\n Destination are not active \n");
	}
	//Create resultant grid
	int output[ROW][COL];
	int visitor[ROW][COL];
	int i = 0;
	int j = 0;
	int length = -1;
	//Set initial values
	for (i = 0; i < ROW; ++i)
	{
		for (j = 0; j < COL; ++j)
		{
			output[i][j] = 0;
			visitor[i][j] = 0;
		}
	}
	findPath(collection, visitor, output, r, c, x, y, & length, 0);
	if (length != -1)
	{
		//When result are exist
		printf("\n Source point (%d,%d) Destination point (%d,%d) ", r, c, x, y);
		// Display output solution
		printf("\n Longest Path \n");
		printPath(output);
	}
	else
	{
		//When no solution possible
		printf("\n No Result \n");
	}
}
int main()
{
	int collection[ROW][COL] = 
    { 
        { 1, 1, 1, 1, 1, 1, 1, 1, 1}, 
        { 1, 0, 1, 1, 1, 0, 1, 0, 1}, 
        { 1, 1, 1, 1, 1, 1, 1, 1, 1},
        { 0, 1, 1, 0, 0, 1, 1, 1, 1}
    }; 
	// Print input problem
	printf("\n Input Maze \n");
	printPath(collection);
	longestPath(collection, 0, 0, 3, 6);
	longestPath(collection, 1, 3, 1, 4);
	return 0;
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
/*
  Java Program for
  Find longest path in maze 
*/

class Maze 
{
  	public int length;
    public Maze()
  	{
    	this.length = -1;
    }
    // Print grid elements
    public void printPath(int[][] grid, int row,int col)
    {
        // Loop controlling variables
        int i = 0;
        int j = 0;

        for (i = 0; i < row; ++i)
        {
            for (j = 0; j < col; ++j)
            {
                System.out.print(" " + grid[i][j] + "\t");
            }
            System.out.print("\n");
        }
        System.out.print("\n");
    }
    // Copy visitor element to output collection
    public void copyResult(int[][] visitor, int[][] output,int row,int col)
    {
        // Loop controlling variables
        int i = 0;
        int j = 0;
        for (i = 0; i < row; ++i)
        {
            for (j = 0; j < col; ++j)
            {
                // Assign element
                output[i][j] = visitor[i][j];
            }
        }
    }
    // Find all paths which is exist in given source to destination position
    // r and c is Source point
    // x and y is destination point 
    public void findPath(int[][] collection, int[][] visitor, int[][] output, int r, int c, int x, int y, int counter,int row,int col)
    {
        if (r < 0 || r >= row || c < 0 || c >= col)
        {
            //When not valid position
            return ;
        }
        else if (r == x && c == y)
        {
            //When we get destination position
            if (visitor[r][c] == 0 && this.length < counter)
            {
                this.length = counter;
                copyResult(visitor, output, row,col);
                //When destination are active element
                output[r][c] = counter + 1;
            }
        }
        if (visitor[r][c] != 0)
        {
            //When the element has been already been visited
            return ;
        }
        if (collection[r][c] == 1)
        {
            //Active visiting node
            visitor[r][c] = counter + 1;
            //Test four possible direction
            findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row,col);
            findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row,col);
            findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row,col);
            findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row,col);
            // Deactivate visited node status
            visitor[r][c] = 0;
        }
    }
    //Handles the request to find maze solution
    // r and c is Source point
    // x and y is destination point 
    public void longestPath(int[][] collection, int r, int c, int x, int y,int row,int col)
    {


        // x and y destination point
        if (x < 0 || x >= row || y < 0 || y >= col)
        {
            return;
        }
        if (r < 0 || r >= row || c < 0 || c >= col)
        {
            // r and c Source point
            return;
        }
        else if (collection[r][c] == 0)
        {
            System.out.print("\n Source are not active \n");
        }
        else if (collection[x][y] == 0)
        {
            System.out.print("\n Destination are not active \n");
        }
        //Create resultant grid
        int[][] output  = new int[row][col];
        int[][] visitor = new int[row][col];
        int i = 0;
        int j = 0;
        this.length = -1;
        //Set initial values
        for (i = 0; i < row; ++i)
        {
            for (j = 0; j < col; ++j)
            {
                output[i][j]  = 0;
                visitor[i][j] = 0;
            }
        }
        findPath(collection, visitor, output, r, c, x, y, 0,row,col);
        if (length != -1)
        {
            //When result are exist
            System.out.print("\n Source point (" + r + "," + c + ") Destination point (" + x + "," + y + ") ");
            // Display output solution
            System.out.print("\n Longest Path \n");
            printPath(output,row,col);
        }
        else
        {
            //When no solution possible
            System.out.print("\n No Result \n");
        }
    }
    public static void main(String[] args) 
    {
        Maze task = new Maze();


        int [][]collection = 
        { 
            { 1, 1, 1, 1, 1, 1, 1, 1, 1}, 
            { 1, 0, 1, 1, 1, 0, 1, 0, 1}, 
            { 1, 1, 1, 1, 1, 1, 1, 1, 1} ,
            { 0, 1, 1, 0, 0, 1, 1, 1, 1} ,
        }; 
        // Get size
        int row = collection.length;
        int col = collection[0].length;
        // Print input problem
        System.out.print("\n Input Maze \n");
        task.printPath(collection,row,col);
        task.longestPath(collection, 0, 0, 3, 6,row,col); 
        task.longestPath(collection, 1, 3, 1, 4,row,col); 
    }
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
// Include header file
#include <iostream>
#define ROW 4
#define COL 9
using namespace std;
/*
  C++ Program for
  Find longest path in maze 
*/
class Maze
{
	public: int length;
	Maze()
	{
		this->length = -1;
	}
	// Print grid elements
	void printPath(int grid[ROW][COL])
	{
		// Loop controlling variables
		int i = 0;
		int j = 0;
		for (i = 0; i < ROW; ++i)
		{
			for (j = 0; j < COL; ++j)
			{
				cout << " " << grid[i][j] << "\t";
			}
			cout << "\n";
		}
		cout << "\n";
	}
	// Copy visitor element to output collection
	void copyResult(int visitor[ROW][COL], int output[ROW][COL])
	{
		// Loop controlling variables
		int i = 0;
		int j = 0;
		for (i = 0; i < ROW; ++i)
		{
			for (j = 0; j < COL; ++j)
			{
				// Assign element
				output[i][j] = visitor[i][j];
			}
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	void findPath(int collection[ROW][COL], int visitor[ROW][COL], int output[ROW][COL], int r, int c, int x, int y, int counter)
	{
		if (r < 0 || r >= ROW || c < 0 || c >= COL)
		{
			//When not valid position
			return ;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor[r][c] == 0 && this->length < counter)
			{
				this->length = counter;
				this->copyResult(visitor, output);
				//When destination are active element
				output[r][c] = counter + 1;
			}
		}
		if (visitor[r][c] != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if (collection[r][c] == 1)
		{
			//Active visiting node
			visitor[r][c] = counter + 1;
			//Test four possible direction
			this->findPath(collection, visitor, output, r + 1, c, x, y, counter + 1);
			this->findPath(collection, visitor, output, r, c + 1, x, y, counter + 1);
			this->findPath(collection, visitor, output, r - 1, c, x, y, counter + 1);
			this->findPath(collection, visitor, output, r, c - 1, x, y, counter + 1);
			// Deactivate visited node status
			visitor[r][c] = 0;
		}
		
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	void longestPath(int collection[ROW][COL], int r, int c, int x, int y)
	{
		// x and y destination point
		if (x < 0 || x >= ROW || y < 0 || y >= COL)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= ROW || c < 0 || c >= COL)
		{
			return;
		}
		else if (collection[r][c] == 0)
		{
			cout << "\n Source are not active \n";
		}
		else if (collection[x][y] == 0)
		{
			cout << "\n Destination are not active \n";
		}
		//Create resultant grid
		int output[ROW][COL];
		int visitor[ROW][COL];
		int i = 0;
		int j = 0;
		this->length = -1;
		//Set initial values
		for (i = 0; i < ROW; ++i)
		{
			for (j = 0; j < COL; ++j)
			{
				output[i][j] = 0;
				visitor[i][j] = 0;
			}
		}
		this->findPath(collection, visitor, output, r, c, x, y, 0);
		if (this->length != -1)
		{
			//When result are exist
			cout << "\n Source point (" << r << "," << c << ") Destination point (" << x << "," << y << ") ";
			// Display output solution
			cout << "\n Longest Path \n";
			this->printPath(output);
		}
		else
		{
			//When no solution possible
			cout << "\n No Result \n";
		}
	}
};
int main()
{
	Maze task = Maze();
	int collection[ROW][COL] = 
    { 
        { 1, 1, 1, 1, 1, 1, 1, 1, 1}, 
        { 1, 0, 1, 1, 1, 0, 1, 0, 1}, 
        { 1, 1, 1, 1, 1, 1, 1, 1, 1} ,
        { 0, 1, 1, 0, 0, 1, 1, 1, 1} 
    }; 

	// Print input problem
	cout << "\n Input Maze \n";
	task.printPath(collection);
	task.longestPath(collection, 0, 0, 3, 6);
	task.longestPath(collection, 1, 3, 1, 4);
	return 0;
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
// Include namespace system
using System;
/*
  C# Program for
  Find longest path in maze 
*/
public class Maze
{
	public int length;
	public Maze()
	{
		this.length = -1;
	}
	// Print grid elements
	public void printPath(int[,] grid, int row, int col)
	{
		// Loop controlling variables
		int i = 0;
		int j = 0;
		for (i = 0; i < row; ++i)
		{
			for (j = 0; j < col; ++j)
			{
				Console.Write(" " + grid[i,j] + "\t");
			}
			Console.Write("\n");
		}
		Console.Write("\n");
	}
	// Copy visitor element to output collection
	public void copyResult(int[,] visitor, int[,] output, int row, int col)
	{
		// Loop controlling variables
		int i = 0;
		int j = 0;
		for (i = 0; i < row; ++i)
		{
			for (j = 0; j < col; ++j)
			{
				// Assign element
				output[i,j] = visitor[i,j];
			}
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	public void findPath(int[,] collection, int[,] visitor, int[,] output, int r, int c, int x, int y, int counter, int row, int col)
	{
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			//When not valid position
			return ;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor[r,c] == 0 && this.length < counter)
			{
				this.length = counter;
				copyResult(visitor, output, row, col);
				//When destination are active element
				output[r,c] = counter + 1;
			}
		}
		if (visitor[r,c] != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if (collection[r,c] == 1)
		{
			//Active visiting node
			visitor[r,c] = counter + 1;
			//Test four possible direction
			findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col);
			findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col);
			findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col);
			findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col);
			// Deactivate visited node status
			visitor[r,c] = 0;
		}
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	public void longestPath(int[,] collection, int r, int c, int x, int y, int row, int col)
	{
		// x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			return;
		}
		else if (collection[r,c] == 0)
		{
			Console.Write("\n Source are not active \n");
		}
		else if (collection[x,y] == 0)
		{
			Console.Write("\n Destination are not active \n");
		}
		//Create resultant grid
		int[,] output = new int[row,col];
		int[,] visitor = new int[row,col];
		int i = 0;
		int j = 0;
		this.length = -1;
		//Set initial values
		for (i = 0; i < row; ++i)
		{
			for (j = 0; j < col; ++j)
			{
				output[i,j] = 0;
				visitor[i,j] = 0;
			}
		}
		findPath(collection, visitor, output, r, c, x, y, 0, row, col);
		if (length != -1)
		{
			//When result are exist
			Console.Write("\n Source point (" + r + "," + c + ") Destination point (" + x + "," + y + ") ");
			// Display output solution
			Console.Write("\n Longest Path \n");
			printPath(output, row, col);
		}
		else
		{
			//When no solution possible
			Console.Write("\n No Result \n");
		}
	}
	public static void Main(String[] args)
	{
		Maze task = new Maze();
		int[,] collection = 
        { 
            { 1, 1, 1, 1, 1, 1, 1, 1, 1}, 
            { 1, 0, 1, 1, 1, 0, 1, 0, 1}, 
            { 1, 1, 1, 1, 1, 1, 1, 1, 1},
            { 0, 1, 1, 0, 0, 1, 1, 1, 1} 
        };
		// Get size
		int row = collection.GetLength(0);
		int col = collection.GetLength(1);
		// Print input problem
		Console.Write("\n Input Maze \n");
		task.printPath(collection, row, col);
		task.longestPath(collection, 0, 0, 3, 6, row, col);
		task.longestPath(collection, 1, 3, 1, 4, row, col);
	}
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
<?php
/*
  Php Program for
  Find longest path in maze 
*/
class Maze
{
	public $length;

	function __construct()
	{
		$this->length = -1;
	}
	// Print grid elements
	public	function printPath( & $grid, $row, $col)
	{
		// Loop controlling variables
		$i = 0;
		$j = 0;
		for ($i = 0; $i < $row; ++$i)
		{
			for ($j = 0; $j < $col; ++$j)
			{
				echo " ". $grid[$i][$j] ."\t";
			}
			echo "\n";
		}
		echo "\n";
	}
	// Copy visitor element to output collection
	public	function copyResult( & $visitor, & $output, $row, $col)
	{
		// Loop controlling variables
		$i = 0;
		$j = 0;
		for ($i = 0; $i < $row; ++$i)
		{
			for ($j = 0; $j < $col; ++$j)
			{
				// Assign element
				$output[$i][$j] = $visitor[$i][$j];
			}
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	public	function findPath( & $collection, & $visitor, & $output, $r, $c, $x, $y, $counter, $row, $col)
	{
		if ($r < 0 || $r >= $row || $c < 0 || $c >= $col)
		{
			//When not valid position
			return ;
		}
		else if ($r == $x && $c == $y)
		{
			//When we get destination position
			if ($visitor[$r][$c] == 0 && $this->length < $counter)
			{
				$this->length = $counter;
				$this->copyResult($visitor, $output, $row, $col);
				//When destination are active element
				$output[$r][$c] = $counter + 1;
			}
		}
		if ($visitor[$r][$c] != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if ($collection[$r][$c] == 1)
		{
			//Active visiting node
			$visitor[$r][$c] = $counter + 1;
			//Test four possible direction
			$this->findPath($collection, $visitor, $output, $r + 1, $c, $x, $y, $counter + 1, $row, $col);
			$this->findPath($collection, $visitor, $output, $r, $c + 1, $x, $y, $counter + 1, $row, $col);
			$this->findPath($collection, $visitor, $output, $r - 1, $c, $x, $y, $counter + 1, $row, $col);
			$this->findPath($collection, $visitor, $output, $r, $c - 1, $x, $y, $counter + 1, $row, $col);
			// Deactivate visited node status
			$visitor[$r][$c] = 0;
		}
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	public	function longestPath( & $collection, $r, $c, $x, $y, $row, $col)
	{
		// x and y destination point
		if ($x < 0 || $x >= $row || $y < 0 || $y >= $col)
		{
			return;
		}
		// r and c Source point
		if ($r < 0 || $r >= $row || $c < 0 || $c >= $col)
		{
			return;
		}
		else if ($collection[$r][$c] == 0)
		{
			echo "\n Source are not active \n";
		}
		else if ($collection[$x][$y] == 0)
		{
			echo "\n Destination are not active \n";
		}
		//Create resultant grid
		$output = array_fill(0, $row, array_fill(0, $col, 0));
		$visitor = array_fill(0, $row, array_fill(0, $col, 0));
		$this->length = -1;
		$this->findPath($collection, $visitor, $output, $r, $c, $x, $y, 0, $row, $col);
		if ($this->length != -1)
		{
			//When result are exist
			echo "\n Source point (". $r .",". $c .") Destination point (". $x .",". $y .") ";
			// Display output solution
			echo "\n Longest Path \n";
			$this->printPath($output, $row, $col);
		}
		else
		{
			//When no solution possible
			echo "\n No Result \n";
		}
	}
}

function main()
{
	$task = new Maze();
	$collection = array(
      array(1, 1, 1, 1, 1, 1, 1, 1, 1), 
      array(1, 0, 1, 1, 1, 0, 1, 0, 1), 
      array(1, 1, 1, 1, 1, 1, 1, 1, 1), 
      array(0, 1, 1, 0, 0, 1, 1, 1, 1)
    );
	// Get size
	$row = count($collection);
	$col = count($collection[0]);
	// Print input problem
	echo "\n Input Maze \n";
	$task->printPath($collection, $row, $col);
	$task->longestPath($collection, 0, 0, 3, 6, $row, $col);
	$task->longestPath($collection, 1, 3, 1, 4, $row, $col);
}
main();

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
/*
  Node Js Program for
  Find longest path in maze 
*/
class Maze
{
	constructor()
	{
		this.length = -1;
	}
	// Print grid elements
	printPath(grid, row, col)
	{
		// Loop controlling variables
		var i = 0;
		var j = 0;
		for (i = 0; i < row; ++i)
		{
			for (j = 0; j < col; ++j)
			{
				process.stdout.write(" " + grid[i][j] + "\t");
			}
			process.stdout.write("\n");
		}
		process.stdout.write("\n");
	}
	// Copy visitor element to output collection
	copyResult(visitor, output, row, col)
	{
		// Loop controlling variables
		var i = 0;
		var j = 0;
		for (i = 0; i < row; ++i)
		{
			for (j = 0; j < col; ++j)
			{
				// Assign element
				output[i][j] = visitor[i][j];
			}
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	findPath(collection, visitor, output, r, c, x, y, counter, row, col)
	{
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			//When not valid position
			return ;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor[r][c] == 0 && this.length < counter)
			{
				this.length = counter;
				this.copyResult(visitor, output, row, col);
				//When destination are active element
				output[r][c] = counter + 1;
			}
		}
		if (visitor[r][c] != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if (collection[r][c] == 1)
		{
			//Active visiting node
			visitor[r][c] = counter + 1;
			//Test four possible direction
			this.findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col);
			// Deactivate visited node status
			visitor[r][c] = 0;
		}
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	longestPath(collection, r, c, x, y, row, col)
	{
		// x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			return;
		}
		else if (collection[r][c] == 0)
		{
			process.stdout.write("\n Source are not active \n");
		}
		else if (collection[x][y] == 0)
		{
			process.stdout.write("\n Destination are not active \n");
		}
		//Create resultant grid
		var output = Array(row).fill(0).map(() => new Array(col).fill(0));
		var visitor = Array(row).fill(0).map(() => new Array(col).fill(0));
		this.length = -1;
		this.findPath(collection, visitor, output, r, c, x, y, 0, row, col);
		if (this.length != -1)
		{
			//When result are exist
			process.stdout.write("\n Source point (" + r + "," + c + ") Destination point (" + x + "," + y + ") ");
			// Display output solution
			process.stdout.write("\n Longest Path \n");
			this.printPath(output, row, col);
		}
		else
		{
			//When no solution possible
			process.stdout.write("\n No Result \n");
		}
	}
}

function main()
{
	var task = new Maze();
	var collection = [
		[1, 1, 1, 1, 1, 1, 1, 1, 1] , 
        [1, 0, 1, 1, 1, 0, 1, 0, 1] , 
        [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
        [0, 1, 1, 0, 0, 1, 1, 1, 1]
	];
	// Get size
	var row = collection.length;
	var col = collection[0].length;
	// Print input problem
	process.stdout.write("\n Input Maze \n");
	task.printPath(collection, row, col);
	task.longestPath(collection, 0, 0, 3, 6, row, col);
	task.longestPath(collection, 1, 3, 1, 4, row, col);
}
main();

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
#   Python 3 Program for
#   Find longest path in maze 

class Maze :
	
	def __init__(self) :
		self.length = -1
	
	#  Print grid elements
	def printPath(self, grid, row, col) :
		#  Loop controlling variables
		i = 0
		j = 0
		while (i < row) :
			j = 0
			while (j < col) :
				print("", grid[i][j] ,end = "\t")
				j += 1
			
			print(end = "\n")
			i += 1
		
		print(end = "\n")
	
	#  Copy visitor element to output collection
	def copyResult(self, visitor, output, row, col) :
		#  Loop controlling variables
		i = 0
		j = 0
		while (i < row) :
			j = 0
			while (j < col) :
				#  Assign element
				output[i][j] = visitor[i][j]
				j += 1
			
			i += 1
		
	
	#  Find all paths which is exist in given source to destination position
	#  r and c is Source point
	#  x and y is destination point
	def findPath(self, collection, visitor, output, r, c, x, y, counter, row, col) :
		if (r < 0 or r >= row or c < 0 or c >= col) :
			# When not valid position
			return 
		
		elif(r == x and c == y) :
			# When we get destination position
			if (visitor[r][c] == 0 and self.length < counter) :
				self.length = counter
				self.copyResult(visitor, output, row, col)
				# When destination are active element
				output[r][c] = counter + 1
			
		
		if (visitor[r][c] != 0) :
			# When the element has been already been visited
			return 
		
		if (collection[r][c] == 1) :
			# Active visiting node
			visitor[r][c] = counter + 1
			# Test four possible direction
			self.findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col)
			#  Deactivate visited node status
			visitor[r][c] = 0

	
	# Handles the request to find maze solution
	#  r and c is Source point
	#  x and y is destination point
	def longestPath(self, collection, r, c, x, y, row, col) :
		#  x and y destination point
		if (x < 0 or x >= row or y < 0 or y >= col) :
			return
		
		#  r and c Source point
		if (r < 0 or r >= row or c < 0 or c >= col) :
			return
		
		elif(collection[r][c] == 0) :
			print("\n Source are not active ")
		
		elif(collection[x][y] == 0) :
			print("\n Destination are not active ")
		
		# Create resultant grid
		output = [[0] * (col) for _ in range(row) ]
		visitor = [[0] * (col) for _ in range(row) ]
		self.length = -1
		self.findPath(collection, visitor, output, r, c, x, y, 0, row, col)
		if (self.length != -1) :
			# When result are exist
			print("\n Source point (", r ,",", c ,") Destination point (", x ,",", y ,") ", end = "")
			#  Display output solution
			print("\n Longest Path ")
			self.printPath(output, row, col)
		else :
			# When no solution possible
			print("\n No Result ")
		
	

def main() :
	task = Maze()
	collection = [
	  [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
      [1, 0, 1, 1, 1, 0, 1, 0, 1] , 
      [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
      [0, 1, 1, 0, 0, 1, 1, 1, 1]
	]
	#  Get size
	row = len(collection)
	col = len(collection[0])
	#  Print input problem
	print("\n Input Maze ")
	task.printPath(collection, row, col)
	task.longestPath(collection, 0, 0, 3, 6, row, col)
	task.longestPath(collection, 1, 3, 1, 4, row, col)

if __name__ == "__main__": main()

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point ( 0 , 0 ) Destination point ( 3 , 6 )
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point ( 1 , 3 ) Destination point ( 1 , 4 )
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
#   Ruby Program for
#   Find longest path in maze 

class Maze  
	# Define the accessor and reader of class Maze  
	attr_reader :length
	attr_accessor :length
 
	
	def initialize() 
		self.length = -1
	end

	#  Print grid elements
	def printPath(grid, row, col) 
		#  Loop controlling variables
		i = 0
		j = 0
		while (i < row) 
			j = 0
			while (j < col) 
				print(" ", grid[i][j] ,"\t")
				j += 1
			end

			print("\n")
			i += 1
		end

		print("\n")
	end

	#  Copy visitor element to output collection
	def copyResult(visitor, output, row, col) 
		#  Loop controlling variables
		i = 0
		j = 0
		while (i < row) 
			j = 0
			while (j < col) 
				#  Assign element
				output[i][j] = visitor[i][j]
				j += 1
			end

			i += 1
		end

	end

	#  Find all paths which is exist in given source to destination position
	#  r and c is Source point
	#  x and y is destination point
	def findPath(collection, visitor, output, r, c, x, y, counter, row, col) 
		if (r < 0 || r >= row || c < 0 || c >= col) 
			# When not valid position
			return 
		elsif(r == x && c == y) 
			# When we get destination position
			if (visitor[r][c] == 0 && self.length < counter) 
				self.length = counter
				self.copyResult(visitor, output, row, col)
				# When destination are active element
				output[r][c] = counter + 1
			end

		end

		if (visitor[r][c] != 0) 
			# When the element has been already been visited
			return 
		end

		if (collection[r][c] == 1) 
			# Active visiting node
			visitor[r][c] = counter + 1
			# Test four possible direction
			self.findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col)
			self.findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col)
			#  Deactivate visited node status
			visitor[r][c] = 0
		end
	end

	# Handles the request to find maze solution
	#  r and c is Source point
	#  x and y is destination point
	def longestPath(collection, r, c, x, y, row, col) 
		#  x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col) 
			return
		end

		#  r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col) 
			return
		elsif(collection[r][c] == 0) 
			print("\n Source are not active \n")
		elsif(collection[x][y] == 0) 
			print("\n Destination are not active \n")
		end

		# Create resultant grid
		output = Array.new(row) {Array.new(col) {0}}
		visitor = Array.new(row) {Array.new(col) {0}}
		self.length = -1
		self.findPath(collection, visitor, output, r, c, x, y, 0, row, col)
		if (length != -1) 
			# When result are exist
			print("\n Source point (", r ,",", c ,") Destination point (", x ,",", y ,") ")
			#  Display output solution
			print("\n Longest Path \n")
			self.printPath(output, row, col)
		else 
			# When no solution possible
			print("\n No Result \n")
		end

	end

end

def main() 
	task = Maze.new()
	collection = [
	  [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
      [1, 0, 1, 1, 1, 0, 1, 0, 1] , 
      [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
      [0, 1, 1, 0, 0, 1, 1, 1, 1]
	]
	#  Get size
	row = collection.length
	col = collection[0].length
	#  Print input problem
	print("\n Input Maze \n")
	task.printPath(collection, row, col)
	task.longestPath(collection, 0, 0, 3, 6, row, col)
	task.longestPath(collection, 1, 3, 1, 4, row, col)
end

main()

Output

 Input Maze 
 1	 1	 1	 1	 1	 1	 1	 1	 1	
 1	 0	 1	 1	 1	 0	 1	 0	 1	
 1	 1	 1	 1	 1	 1	 1	 1	 1	
 0	 1	 1	 0	 0	 1	 1	 1	 1	


 Source point (0,0) Destination point (3,6) 
 Longest Path 
 1	 0	 13	 14	 15	 16	 17	 18	 19	
 2	 0	 12	 11	 10	 0	 0	 0	 20	
 3	 4	 7	 8	 9	 26	 25	 24	 21	
 0	 5	 6	 0	 0	 27	 28	 23	 22	


 Source point (1,3) Destination point (1,4) 
 Longest Path 
 9	 10	 11	 12	 13	 14	 15	 16	 17	
 8	 0	 0	 1	 28	 0	 0	 0	 18	
 7	 6	 3	 2	 27	 26	 23	 22	 19	
 0	 5	 4	 0	 0	 25	 24	 21	 20	

/*
  Scala Program for
  Find longest path in maze 
*/
class Maze(var length: Int)
{
	def this()
	{
		this(-1);
	}
	// Print grid elements
	def printPath(grid: Array[Array[Int]], row: Int, col: Int): Unit = {
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				print(" " + grid(i)(j) + "\t");
				j += 1;
			}
			print("\n");
			i += 1;
		}
		print("\n");
	}
	// Copy visitor element to output collection
	def copyResult(visitor: Array[Array[Int]], output: Array[Array[Int]], row: Int, col: Int): Unit = {
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				// Assign element
				output(i)(j) = visitor(i)(j);
				j += 1;
			}
			i += 1;
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	def findPath(collection: Array[Array[Int]], visitor: Array[Array[Int]], output: Array[Array[Int]], r: Int, c: Int, x: Int, y: Int, counter: Int, row: Int, col: Int): Unit = {
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			//When not valid position
			return ;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor(r)(c) == 0 && this.length < counter)
			{
				this.length = counter;
				this.copyResult(visitor, output, row, col);
				//When destination are active element
				output(r)(c) = counter + 1;
			}
		}
		if (visitor(r)(c) != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if (collection(r)(c) == 1)
		{
			//Active visiting node
			visitor(r)(c) = counter + 1;
			//Test four possible direction
			this.findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col);
			// Deactivate visited node status
			visitor(r)(c) = 0;
		}
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	def longestPath(collection: Array[Array[Int]], r: Int, c: Int, x: Int, y: Int, row: Int, col: Int): Unit = {
		// x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			return;
		}
		else if (collection(r)(c) == 0)
		{
			print("\n Source are not active \n");
		}
		else if (collection(x)(y) == 0)
		{
			print("\n Destination are not active \n");
		}
		//Create resultant grid
		var output: Array[Array[Int]] = Array.fill[Int](row, col)(0);
		var visitor: Array[Array[Int]] = Array.fill[Int](row, col)(0);
		this.length = -1;
		this.findPath(collection, visitor, output, r, c, x, y, 0, row, col);
		if (length != -1)
		{
			//When result are exist
			print("\n Source point (" + r + "," + c + ") Destination point (" + x + "," + y + ") ");
			// Display output solution
			print("\n Longest Path \n");
			this.printPath(output, row, col);
		}
		else
		{
			//When no solution possible
			print("\n No Result \n");
		}
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Maze = new Maze();
		var collection: Array[Array[Int]] = Array(
          Array(1, 1, 1, 1, 1, 1, 1, 1, 1), 
          Array(1, 0, 1, 1, 1, 0, 1, 0, 1), 
          Array(1, 1, 1, 1, 1, 1, 1, 1, 1), 
          Array(0, 1, 1, 0, 0, 1, 1, 1, 1)
        );
		// Get size
		var row: Int = collection.length;
		var col: Int = collection(0).length;
		// Print input problem
		print("\n Input Maze \n");
		task.printPath(collection, row, col);
		task.longestPath(collection, 0, 0, 3, 6, row, col);
		task.longestPath(collection, 1, 3, 1, 4, row, col);
	}
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
/*
  Swift 4 Program for
  Find longest path in maze 
*/
class Maze
{
	var length: Int;
	init()
	{
		self.length = -1;
	}
	// Print grid elements
	func printPath(_ grid: [[Int]], _ row: Int, _ col: Int)
	{
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				print("", grid[i][j], terminator: "\t");
				j += 1;
			}
			print(terminator: "\n");
			i += 1;
		}
		print(terminator: "\n");
	}
	// Copy visitor element to output collection
	func copyResult(_ visitor: [[Int]], _ output: inout[[Int]], _ row: Int, _ col: Int)
	{
		// Loop controlling variables
		var i: Int = 0;
		var j: Int = 0;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				// Assign element
				output[i][j] = visitor[i][j];
				j += 1;
			}
			i += 1;
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	func findPath(_ collection: [[Int]], _ visitor: inout[[Int]], _ output: inout[[Int]], _ r: Int, _ c: Int, _ x: Int, _ y: Int, _ counter: Int, _ row: Int, _ col: Int)
	{
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			//When not valid position
			return;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor[r][c] == 0 && self.length < counter)
			{
				self.length = counter;
				self.copyResult(visitor, &output, row, col);
				//When destination are active element
				output[r][c] = counter + 1;
			}
		}
		if (visitor[r][c]  != 0)
		{
			//When the element has been already been visited
			return;
		}
		if (collection[r][c] == 1)
		{
			//Active visiting node
			visitor[r][c] = counter + 1;
			//Test four possible direction
			self.findPath(collection, &visitor, &output, r + 1, c, x, y, counter + 1, row, col);
			self.findPath(collection, &visitor, &output, r, c + 1, x, y, counter + 1, row, col);
			self.findPath(collection, &visitor, &output, r - 1, c, x, y, counter + 1, row, col);
			self.findPath(collection, &visitor, &output, r, c - 1, x, y, counter + 1, row, col);
			// Deactivate visited node status
			visitor[r][c] = 0;
		}
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	func longestPath(_ collection: [[Int]], _ r: Int, _ c: Int, _ x: Int, _ y: Int, _ row: Int, _ col: Int)
	{
		// x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			return;
		}
		else if (collection[r][c] == 0)
		{
			print("\n Source are not active ");
		}
		else if (collection[x][y] == 0)
		{
			print("\n Destination are not active ");
		}
		//Create resultant grid
		var output: [[Int]]  = Array(repeating: Array(repeating: 0, count: col), count: row);
		var visitor: [[Int]] = Array(repeating: Array(repeating: 0, count: col), count: row);
		self.length = -1;
		self.findPath(collection, &visitor, &output, r, c, x, y, 0, row, col);
		if (self.length  != -1)
		{
			//When result are exist
			print("\n Source point (", r ,",", c ,") Destination point (", x ,",", y ,") ", terminator: "");
			// Display output solution
			print("\n Longest Path ");
			self.printPath(output, row, col);
		}
		else
		{
			//When no solution possible
			print("\n No Result ");
		}
	}
}
func main()
{
	let task: Maze = Maze();
	let collection: [[Int]] = [
		[1, 1, 1, 1, 1, 1, 1, 1, 1] , 
        [1, 0, 1, 1, 1, 0, 1, 0, 1] , 
        [1, 1, 1, 1, 1, 1, 1, 1, 1] , 
        [0, 1, 1, 0, 0, 1, 1, 1, 1]
	];
	// Get size
	let row: Int = collection.count;
	let col: Int = collection[0].count;
	// Print input problem
	print("\n Input Maze ");
	task.printPath(collection, row, col);
	task.longestPath(collection, 0, 0, 3, 6, row, col);
	task.longestPath(collection, 1, 3, 1, 4, row, col);
}
main();

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point ( 0 , 0 ) Destination point ( 3 , 6 )
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point ( 1 , 3 ) Destination point ( 1 , 4 )
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20
/*
  Kotlin Program for
  Find longest path in maze 
*/
class Maze
{
	var length: Int;
	constructor()
	{
		this.length = -1;
	}
	// Print grid elements
	fun printPath(grid: Array<Array<Int>> , row: Int, col: Int): Unit
	{
		// Loop controlling variables
		var i: Int = 0;
		var j: Int ;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				print(" " + grid[i][j] + "\t");
				j += 1;
			}
			print("\n");
			i += 1;
		}
		print("\n");
	}
	// Copy visitor element to output collection
	fun copyResult(visitor: Array<Array<Int>> , output: Array <Array<Int>> , row: Int, col: Int): Unit
	{
		// Loop controlling variables
		var i: Int = 0;
		var j: Int ;
		while (i < row)
		{
			j = 0;
			while (j < col)
			{
				// Assign element
				output[i][j] = visitor[i][j];
				j += 1;
			}
			i += 1;
		}
	}
	// Find all paths which is exist in given source to destination position
	// r and c is Source point
	// x and y is destination point
	fun findPath(collection: Array <Array <Int>> , visitor: Array <Array<Int>> , output: Array <Array<Int>> , r: Int, c: Int, x: Int, y: Int, counter: Int, row: Int, col: Int)
	{
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			//When not valid position
			return ;
		}
		else if (r == x && c == y)
		{
			//When we get destination position
			if (visitor[r][c] == 0 && this.length < counter)
			{
				this.length = counter;
				this.copyResult(visitor, output, row, col);
				//When destination are active element
				output[r][c] = counter + 1;
			}
		}
		if (visitor[r][c] != 0)
		{
			//When the element has been already been visited
			return ;
		}
		if (collection[r][c] == 1)
		{
			//Active visiting node
			visitor[r][c] = counter + 1;
			//Test four possible direction
			this.findPath(collection, visitor, output, r + 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c + 1, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r - 1, c, x, y, counter + 1, row, col);
			this.findPath(collection, visitor, output, r, c - 1, x, y, counter + 1, row, col);
			// Deactivate visited node status
			visitor[r][c] = 0;
		}
		
	}
	//Handles the request to find maze solution
	// r and c is Source point
	// x and y is destination point
	fun longestPath(collection: Array <Array <Int>> , r: Int, c: Int, x: Int, y: Int, row: Int, col: Int): Unit
	{
		// x and y destination point
		if (x < 0 || x >= row || y < 0 || y >= col)
		{
			return;
		}
		// r and c Source point
		if (r < 0 || r >= row || c < 0 || c >= col)
		{
			return;
		}
		else if (collection[r][c] == 0)
		{
			print("\n Source are not active \n");
		}
		else if (collection[x][y] == 0)
		{
			print("\n Destination are not active \n");
		}
		//Create resultant grid
		var output: Array < Array < Int >> = Array(row)
		{
			Array(col)
			{
				0
			}
		};
		var visitor: Array < Array < Int >> = Array(row)
		{
			Array(col)
			{
				0
			}
		};
		this.length = -1;
		this.findPath(collection, visitor, output, r, c, x, y, 0, row, col);
		if (length != -1)
		{
			//When result are exist
			print("\n Source point (" + r + "," + c + ") Destination point (" + x + "," + y + ") ");
			// Display output solution
			print("\n Longest Path \n");
			this.printPath(output, row, col);
		}
		else
		{
			//When no solution possible
			print("\n No Result \n");
		}
	}
}
fun main(args: Array < String > ): Unit
{
	var task: Maze = Maze();
	var collection: Array <Array<Int>> = arrayOf(
      arrayOf(1, 1, 1, 1, 1, 1, 1, 1, 1), 
      arrayOf(1, 0, 1, 1, 1, 0, 1, 0, 1), 
      arrayOf(1, 1, 1, 1, 1, 1, 1, 1, 1), 
      arrayOf(0, 1, 1, 0, 0, 1, 1, 1, 1)
    );
	// Get size
	var row: Int = collection.count();
	var col: Int = collection[0].count();
	// Print input problem
	print("\n Input Maze \n");
	task.printPath(collection, row, col);
	task.longestPath(collection, 0, 0, 3, 6, row, col);
	task.longestPath(collection, 1, 3, 1, 4, row, col);
}

Output

 Input Maze
 1	 1	 1	 1	 1	 1	 1	 1	 1
 1	 0	 1	 1	 1	 0	 1	 0	 1
 1	 1	 1	 1	 1	 1	 1	 1	 1
 0	 1	 1	 0	 0	 1	 1	 1	 1


 Source point (0,0) Destination point (3,6)
 Longest Path
 1	 0	 13	 14	 15	 16	 17	 18	 19
 2	 0	 12	 11	 10	 0	 0	 0	 20
 3	 4	 7	 8	 9	 26	 25	 24	 21
 0	 5	 6	 0	 0	 27	 28	 23	 22


 Source point (1,3) Destination point (1,4)
 Longest Path
 9	 10	 11	 12	 13	 14	 15	 16	 17
 8	 0	 0	 1	 28	 0	 0	 0	 18
 7	 6	 3	 2	 27	 26	 23	 22	 19
 0	 5	 4	 0	 0	 25	 24	 21	 20

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