Print all possible paths from top left to bottom right of matrix

Print all possible paths in given position

Here given code implementation process.

//C Program
//Print all possible paths from top left to bottom right of matrix
#include<stdio.h>


#define R 5 
#define C 4 
//Display of all path of top to bottom and left to right
void show_path(char mat[R][C],char result[],int row ,int col,int count,int k)
{

  if(row >= R || col >= C)
  {
    return;
  }

  result[count]=mat[row][col];
  //recursive execute method with new parameters
  show_path(mat,result,row+1,col,count+1,k);
  show_path(mat,result,row,col+1,count+1,k);
  
  if(count+1==k)
  {
    //Display the result value
    for (int i = 0; i <k; ++i)
    { 
      printf("%3c",result[i]);
    }
    printf("\n");
  }
}


int main()
{
  char mat[R][C] = { 
    {'A', 'B', 'C', 'D'}, 
    {'E', 'F', 'G', 'H'}, 
    {'I', 'J', 'K', 'L'},
    {'M', 'N', 'O', 'P'},
    {'Q', 'R', 'S', 'T'},
  };
  //Auxiliary memory which are storing path result
  char result[R+C-1];
  show_path(mat,result,0,0,0,R+C-1);

  return 0;
}

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
/*
  C++ Program
  Print all possible paths from top left to bottom right of matrix
*/
#include<iostream>
#define R 5 
#define C 4 
using namespace std;


class MyMatrix {
	public:
	int rows;
	int cols;

	//Display of all path of top to bottom and left to right
	void show_path(char matrix[][C], char result[], int row, int col, int count, int k) {
		if (row >= R || col >= C) {
			return;
		}
		result[count] = matrix[row][col];
		//recursive execute method with new parameters
		this->show_path(matrix, result, row + 1, col, count + 1, k);
		this->show_path(matrix, result, row, col + 1, count + 1, k);
		if (count + 1 == k) {
			//Display the result value

			for (int i = 0; i < k; ++i) {
				cout << "  " << result[i];
			}
			cout << "\n";
		}
	}
};
int main() {
	char matrix[][C] = {
		{
			'A',
			'B',
			'C',
			'D'
		},
		{
			'E',
			'F',
			'G',
			'H'
		},
		{
			'I',
			'J',
			'K',
			'L'
		},
		{
			'M',
			'N',
			'O',
			'P'
		},
		{
			'Q',
			'R',
			'S',
			'T'
		},
		
	};
	MyMatrix obj = MyMatrix();
	char result[R + C - 1];
	obj.show_path(matrix, result, 0, 0, 0, R + C - 1);
	return 0;
}

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
/*
  Java Program
  Print all possible paths from top left to bottom right of matrix
*/

public class MyMatrix {
  public int rows;
  public int cols;
  public MyMatrix(char [][]matrix)
  {
    //Get the size of matrix
    rows = matrix.length;
    cols = matrix[0].length;
  }

  //Display of all path of top to bottom and left to right
  void show_path(char [][]matrix,char []result,int row ,int col,int count,int k)
  {

    if(row >= this.rows || col >= this.cols)
    {
      return;
    }

    result[count]=matrix[row][col];
    //recursive execute method with new parameters
    show_path(matrix,result,row+1,col,count+1,k);
    show_path(matrix,result,row,col+1,count+1,k);
    
    if(count+1==k)
    {
      //Display the result value
      for (int i = 0; i <k; ++i)
      { 
        System.out.print("  "+result[i]);
      }
      System.out.print("\n");
    }
  }

 
  public static void main(String[] args) {

    
    char [][]matrix = { 
      {'A', 'B', 'C', 'D'}, 
      {'E', 'F', 'G', 'H'}, 
      {'I', 'J', 'K', 'L'},
      {'M', 'N', 'O', 'P'},
      {'Q', 'R', 'S', 'T'},
    };
    MyMatrix obj = new MyMatrix(matrix);

    //Auxiliary memory which are storing path result
    char []result= new char[obj.rows+obj.cols-1];

    obj.show_path(matrix,result,0,0,0,obj.rows+obj.cols-1);
  }
}

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
/*
  C# Program
  Print all possible paths from top left to bottom right of matrix
*/
using System;

public class MyMatrix {
	public int rows;
	public int cols;
	public MyMatrix(char[,] matrix) {
		//Get the size of matrix
		rows = matrix.GetLength(0);
		cols = matrix.GetLength(1);
	}
	//Display of all path of top to bottom and left to right
	void show_path(char[,] matrix, char[] result, int row, int col, int count, int k) {
		if (row >= this.rows || col >= this.cols) {
			return;
		}
		result[count] = matrix[row,col];
		show_path(matrix, result, row + 1, col, count + 1, k);
		show_path(matrix, result, row, col + 1, count + 1, k);
		if (count + 1 == k) {
			//Display the result value

			for (int i = 0; i < k; ++i) {
				Console.Write("  " + result[i]);
			}
			Console.Write("\n");
		}
	}
	public static void Main(String[] args) {
		char[,] matrix = {
			{
				'A',
				'B',
				'C',
				'D'
			},
			{
				'E',
				'F',
				'G',
				'H'
			},
			{
				'I',
				'J',
				'K',
				'L'
			},
			{
				'M',
				'N',
				'O',
				'P'
			},
			{
				'Q',
				'R',
				'S',
				'T'
			},
		};
		MyMatrix obj = new MyMatrix(matrix);
		char[]
		//Auxiliary memory which are storing path result
		result = new char[obj.rows + obj.cols - 1];
		obj.show_path(matrix, result, 0, 0, 0, obj.rows + obj.cols - 1);
	}
}

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
# Python 3 Program
# Print all possible paths from top left to bottom right of matrix
class MyMatrix :
	
	def __init__(self, matrix) :
		 # Get the size of matrix
		self.rows = len(matrix)
		self.cols = len(matrix[0])
	
	 # Display of all path of top to bottom and left to right
	def show_path(self, matrix, result, row, col, count, k) :
		if (row >= self.rows or col >= self.cols) :
			return
		
		result[count] = matrix[row][col]
		 # recursive execute method with new parameters
		self.show_path(matrix, result, row + 1, col, count + 1, k)
		self.show_path(matrix, result, row, col + 1, count + 1, k)
		if (count + 1 == k) :
			i = 0
			# Display the result value
			while (i < k) :
				print(" ", result[i], end = "")
				i += 1
			
			print("\n", end = "")
		
	

def main() :
	matrix = [
		['A', 'B', 'C', 'D'],
		['E', 'F', 'G', 'H'],
		['I', 'J', 'K', 'L'],
		['M', 'N', 'O', 'P'],
		['Q', 'R', 'S', 'T']
	]
	obj = MyMatrix(matrix)
	 # Auxiliary memory which are storing path result
	result = [' '] * (obj.rows + obj.cols - 1)
	obj.show_path(matrix, result, 0, 0, 0, obj.rows + obj.cols - 1)


if __name__ == "__main__":
	main()

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
# Ruby Program
# Print all possible paths from top left to bottom right of matrix
class MyMatrix 
	# Define the accessor and reader of class MyMatrix
    attr_reader :rows, :cols
    attr_accessor :rows, :cols
	def initialize(matrix) 
		 # Get the size of matrix
		@rows = matrix.length
		@cols = matrix[0].length
	end
	 # Display of all path of top to bottom and left to right
	def show_path(matrix, result, row, col, count, k) 
		if (row >= self.rows || col >= self.cols) 
			return
		end
		result[count] = matrix[row][col]
		 # recursive execute method with new parameters
		self.show_path(matrix, result, row + 1, col, count + 1, k)
		self.show_path(matrix, result, row, col + 1, count + 1, k)
		if (count + 1 == k) 
			i = 0
			 # Display the result value
			while (i < k) 
				print("  ", result[i])
				i += 1
			end
			print("\n")
		end
	end
end
def main() 
	matrix = [
		['A', 'B', 'C', 'D'],
		['E', 'F', 'G', 'H'],
		['I', 'J', 'K', 'L'],
		['M', 'N', 'O', 'P'],
		['Q', 'R', 'S', 'T']
	]
	obj = MyMatrix.new(matrix)
	 # Auxiliary memory which are storing path result
	result = Array.new(obj.rows + obj.cols - 1, ' ' )
	obj.show_path(matrix, result, 0, 0, 0, obj.rows + obj.cols - 1)
end


main()

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
<?php
/*
  Php Program
  Print all possible paths from top left to bottom right of matrix
*/
class MyMatrix {
	public $rows;
	public $cols;

	function __construct($matrix) {
		//Get the size of matrix
		$this->rows = count($matrix);
		$this->cols = count($matrix[0]);
	}
	//Display of all path of top to bottom and left to right
	function show_path($matrix, &$result, $row, $col, $count, $k) {
		if ($row >= $this->rows || $col >= $this->cols) {
			return;
		}
		$result[$count] = $matrix[$row][$col];
		//recursive execute method with new parameters
		$this->show_path($matrix, $result, $row + 1, $col, $count + 1, $k);
		$this->show_path($matrix, $result, $row, $col + 1, $count + 1, $k);
		if ($count + 1 == $k) {
			//Display the result value

			for ($i = 0; $i < $k; ++$i) {
				echo("  ". $result[$i]);
			}
			echo("\n");
		}
	}
}

function main() {
	$matrix = array(
      array('A', 'B', 'C', 'D'), 
      array('E', 'F', 'G', 'H'), 
      array('I', 'J', 'K', 'L'), 
      array('M', 'N', 'O', 'P'), 
      array('Q', 'R', 'S', 'T')
    );
	$obj = new MyMatrix($matrix);
	//Auxiliary memory which are storing path result
	$result = array_fill(0, $obj->rows + $obj->cols - 1," " );
	$obj->show_path($matrix, $result, 0, 0, 0, $obj->rows + $obj->cols - 1);

}
main();

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
/*
  Scala Program
  Print all possible paths from top left to bottom right of matrix
*/
class MyMatrix(var rows: Int,
	var cols: Int) {
	

	def this(matrix: Array[Array[Char]]) {
		//Get the size of matrix
		this(matrix.length, matrix(0).length);
	}
	//Display of all path of top to bottom and left to right
	def show_path(matrix: Array[Array[Char]], result: Array[Char], row: Int, col: Int, count: Int, k: Int): Unit = {
		if (row >= this.rows || col >= this.cols) {
			return;
		}
		result(count) = matrix(row)(col);

		//recursive execute method with new parameters
		this.show_path(matrix, result, row + 1, col, count + 1, k);
		this.show_path(matrix, result, row, col + 1, count + 1, k);

		if (count + 1 == k) {
			var i: Int = 0;

			//Display the result value
			while (i < k) {
				print("  " + result(i));
				i += 1;
			}
			print("\n");
		}
	}
}
object Main {
	def main(args: Array[String]): Unit = {
		val matrix: Array[Array[Char]] = Array(
			Array('A', 'B', 'C', 'D'),
			Array('E', 'F', 'G', 'H'),
			Array('I', 'J', 'K', 'L'),
			Array('M', 'N', 'O', 'P'),
			Array('Q', 'R', 'S', 'T'));
		val obj: MyMatrix = new MyMatrix(matrix);

		//Auxiliary memory which are storing path result
		var result: Array[Char] = Array.fill[Char](obj.rows + obj.cols - 1)(' ');
		obj.show_path(matrix, result, 0, 0, 0, obj.rows + obj.cols - 1);
	}
}

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T
/*
  Swift Program
  Print all possible paths from top left to bottom right of matrix
*/
class MyMatrix {
	var rows: Int;
	var cols: Int;
	init(_ matrix: [[Character]]) {
		//Get the size of matrix
		self.rows = matrix.count;
		self.cols = matrix[0].count;
	}
	//Display of all path of top to bottom and left to right
	func show_path(_ matrix: [[Character]], _ result: inout [Character], _ row: Int, _ col: Int, _ count: Int, _ k: Int) {
		if (row >= self.rows || col >= self.cols) {
			return;
		}
		result[count] = matrix[row][col];
		//recursive execute method with new parameters
		self.show_path(matrix, &result, row + 1, col, count + 1, k);
		self.show_path(matrix, &result, row, col + 1, count + 1, k);
		if (count + 1 == k) {
			var i: Int = 0;
			//Display the result value
			while (i < k) {
				print("  ", result[i], terminator: "");
				i += 1;
			}
			print("\n", terminator: "");
		}
	}
}
func main() {
	let matrix: [
		[Character]
	] = [
		["A", "B", "C", "D"],
		["E", "F", "G", "H"],
		["I", "J", "K", "L"],
		["M", "N", "O", "P"],
		["Q", "R", "S", "T"]
	];
	let obj: MyMatrix = MyMatrix(matrix);
	//Auxiliary memory which are storing path result
	var result: [Character] = Array(repeating:" " , count: obj.rows + obj.cols - 1);
	obj.show_path(matrix, &result, 0, 0, 0, obj.rows + obj.cols - 1);
}
main();

Output

   A   E   I   M   Q   R   S   T
   A   E   I   M   N   R   S   T
   A   E   I   M   N   O   S   T
   A   E   I   M   N   O   P   T
   A   E   I   J   N   R   S   T
   A   E   I   J   N   O   S   T
   A   E   I   J   N   O   P   T
   A   E   I   J   K   O   S   T
   A   E   I   J   K   O   P   T
   A   E   I   J   K   L   P   T
   A   E   F   J   N   R   S   T
   A   E   F   J   N   O   S   T
   A   E   F   J   N   O   P   T
   A   E   F   J   K   O   S   T
   A   E   F   J   K   O   P   T
   A   E   F   J   K   L   P   T
   A   E   F   G   K   O   S   T
   A   E   F   G   K   O   P   T
   A   E   F   G   K   L   P   T
   A   E   F   G   H   L   P   T
   A   B   F   J   N   R   S   T
   A   B   F   J   N   O   S   T
   A   B   F   J   N   O   P   T
   A   B   F   J   K   O   S   T
   A   B   F   J   K   O   P   T
   A   B   F   J   K   L   P   T
   A   B   F   G   K   O   S   T
   A   B   F   G   K   O   P   T
   A   B   F   G   K   L   P   T
   A   B   F   G   H   L   P   T
   A   B   C   G   K   O   S   T
   A   B   C   G   K   O   P   T
   A   B   C   G   K   L   P   T
   A   B   C   G   H   L   P   T
   A   B   C   D   H   L   P   T
/*
  Node Js Program
  Print all possible paths from top left to bottom right of matrix
*/
class MyMatrix {
	
	constructor(matrix) {
		//Get the size of matrix
		this.rows = matrix.length;
		this.cols = matrix[0].length;
	}

	//Display of all path of top to bottom and left to right
	show_path(matrix, result, row, col, count, k) {
		if (row >= this.rows || col >= this.cols) {
			return;
		}
		result[count] = matrix[row][col];
		//recursive execute method with new parameters
		this.show_path(matrix, result, row + 1, col, count + 1, k);
		this.show_path(matrix, result, row, col + 1, count + 1, k);
		if (count + 1 == k) {
			var i = 0;
			//Display the result value
			while (i < k) {
				process.stdout.write("  " + result[i]);
				i++;
			}

			process.stdout.write("\n");
		}
	}
}

function main(args) {
	var matrix = [
		['A', 'B', 'C', 'D'],
		['E', 'F', 'G', 'H'],
		['I', 'J', 'K', 'L'],
		['M', 'N', 'O', 'P'],
		['Q', 'R', 'S', 'T']
	];
	var obj = new MyMatrix(matrix);
	//Auxiliary memory which are storing path result
	var result = Array(obj.rows + obj.cols - 1).fill(' ');
	obj.show_path(matrix, result, 0, 0, 0, obj.rows + obj.cols - 1);
}

main();

Output

  A  E  I  M  Q  R  S  T
  A  E  I  M  N  R  S  T
  A  E  I  M  N  O  S  T
  A  E  I  M  N  O  P  T
  A  E  I  J  N  R  S  T
  A  E  I  J  N  O  S  T
  A  E  I  J  N  O  P  T
  A  E  I  J  K  O  S  T
  A  E  I  J  K  O  P  T
  A  E  I  J  K  L  P  T
  A  E  F  J  N  R  S  T
  A  E  F  J  N  O  S  T
  A  E  F  J  N  O  P  T
  A  E  F  J  K  O  S  T
  A  E  F  J  K  O  P  T
  A  E  F  J  K  L  P  T
  A  E  F  G  K  O  S  T
  A  E  F  G  K  O  P  T
  A  E  F  G  K  L  P  T
  A  E  F  G  H  L  P  T
  A  B  F  J  N  R  S  T
  A  B  F  J  N  O  S  T
  A  B  F  J  N  O  P  T
  A  B  F  J  K  O  S  T
  A  B  F  J  K  O  P  T
  A  B  F  J  K  L  P  T
  A  B  F  G  K  O  S  T
  A  B  F  G  K  O  P  T
  A  B  F  G  K  L  P  T
  A  B  F  G  H  L  P  T
  A  B  C  G  K  O  S  T
  A  B  C  G  K  O  P  T
  A  B  C  G  K  L  P  T
  A  B  C  G  H  L  P  T
  A  B  C  D  H  L  P  T


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