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Count the number of ways to traverse a Matrix

Here given code implementation process.

// C Program
// Count the number of ways to traverse a Matrix
#include <stdio.h>

// Count matrix path
int countPath(int i, int j, int row, int col)
{
	if (i == row && col == j)
	{
		return 1;
	}
	else if (i <= row && j <= col)
	{
		//  Count matrix path recursively
		return countPath(i + 1, j, row, col) + countPath(i, j + 1, row, col);
	}
	else
	{
		return 0;
	}
}
// Handles the request to count path of the matrix
void paths(int row, int col)
{
	if (row <= 0 || col <= 0)
	{
		return;
	}
	// Display given rows and columns
	printf(" Row : %d, Col : %d", row, col);
	// Display calculated result
	printf("\n Paths : %d\n\n", countPath(0, 0, row - 1, col - 1));
}
int main()
{
	// Test Cases
	paths(9, 7);
	paths(3, 7);
	paths(4, 4);
	return 0;
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

/*
    Java Program
    Count the number of ways to traverse a Matrix
*/

public class Counting
{

    // Count matrix path
    public int countPath(int i, int j, int row, int col)
    {
        if (i == row && col == j)
        {
            return 1;
        }
        else if (i <= row && j <= col)
        {
            //  Count matrix path recursively
            return countPath(i + 1, j, row, col) + 
                   countPath(i, j + 1, row, col);
        }
        else
        {
            return 0;
        }
    }
    // Handles the request to count path of the matrix
    public void paths(int row, int col)
    {
        if (row <= 0 || col <= 0)
        {
            return;
        }
        // Display given rows and columns
        System.out.print(" Row : " + row + ", Col : " + col );
        // Display calculated result
        System.out.print("\n Paths : " + 
                         countPath(0, 0, row - 1, col - 1) + "\n\n");
    }
    public static void main(String[] args)
    {

        Counting task = new Counting();
        // Test Cases
        task.paths(9, 7);
        task.paths(3, 7);
        task.paths(4, 4);
    }
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

// Include header file
#include <iostream>
using namespace std;

/*
    C++ Program
    Count the number of ways to traverse a Matrix
*/

class Counting
{
	public:
		// Count matrix path
		int countPath(int i, int j, int row, int col)
		{
			if (i == row && col == j)
			{
				return 1;
			}
			else if (i <= row && j <= col)
			{
				//  Count matrix path recursively
				return this->countPath(i + 1, j, row, col) 
                  + this->countPath(i, j + 1, row, col);
			}
			else
			{
				return 0;
			}
		}
	// Handles the request to count path of the matrix
	void paths(int row, int col)
	{
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		cout << " Row : " << row << ", Col : " << col;
		// Display calculated result
		cout << "\n Paths : " << this->countPath(0, 0, row - 1, col - 1) 
      		 << "\n\n";
	}
};
int main()
{
	Counting *task = new Counting();
	// Test Cases
	task->paths(9, 7);
	task->paths(3, 7);
	task->paths(4, 4);
	return 0;
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

// Include namespace system
using System;
/*
    Csharp Program
    Count the number of ways to traverse a Matrix
*/
public class Counting
{
	// Count matrix path
	public int countPath(int i, int j, int row, int col)
	{
		if (i == row && col == j)
		{
			return 1;
		}
		else if (i <= row && j <= col)
		{
			//  Count matrix path recursively
			return this.countPath(i + 1, j, row, col) + 
              	   this.countPath(i, j + 1, row, col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	public void paths(int row, int col)
	{
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		Console.Write(" Row : " + row + ", Col : " + col);
		// Display calculated result
		Console.WriteLine("\n Paths : " + this.countPath(0, 0, row - 1, col - 1) + "\n");
	}
	public static void Main(String[] args)
	{
		Counting task = new Counting();
		// Test Cases
		task.paths(9, 7);
		task.paths(3, 7);
		task.paths(4, 4);
	}
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

<?php
/*
    Php Program
    Count the number of ways to traverse a Matrix
*/
class Counting
{
	// Count matrix path
	public	function countPath($i, $j, $row, $col)
	{
		if ($i == $row && $col == $j)
		{
			return 1;
		}
		else if ($i <= $row && $j <= $col)
		{
			//  Count matrix path recursively
			return $this->countPath($i + 1, $j, $row, $col) 
              	  + $this->countPath($i, $j + 1, $row, $col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	public	function paths($row, $col)
	{
		if ($row <= 0 || $col <= 0)
		{
			return;
		}
		// Display given rows and columns
		echo(" Row : ".$row.
			", Col : ".$col);
		// Display calculated result
		echo("\n Paths : ".$this->countPath(0, 0, $row - 1, $col - 1).
			"\n\n");
	}
}

function main()
{
	$task = new Counting();
	// Test Cases
	$task->paths(9, 7);
	$task->paths(3, 7);
	$task->paths(4, 4);
}
main();

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

/*
    Node JS Program
    Count the number of ways to traverse a Matrix
*/
class Counting
{
	// Count matrix path
	countPath(i, j, row, col)
	{
		if (i == row && col == j)
		{
			return 1;
		}
		else if (i <= row && j <= col)
		{
			//  Count matrix path recursively
			return this.countPath(i + 1, j, row, col) 
              + this.countPath(i, j + 1, row, col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	paths(row, col)
	{
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		process.stdout.write(" Row : " + row + ", Col : " + col);
		// Display calculated result
		console.log("\n Paths : " 
                             + this.countPath(0, 0, row - 1, col - 1) 
                             + "\n");
	}
}

function main()
{
	var task = new Counting();
	// Test Cases
	task.paths(9, 7);
	task.paths(3, 7);
	task.paths(4, 4);
}
main();

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

#    Python 3 Program
#    Count the number of ways to traverse a Matrix
class Counting :
	#  Count matrix path
	def countPath(self, i, j, row, col) :
		if (i == row and col == j) :
			return 1
		elif (i <= row and j <= col) :
			#   Count matrix path recursively
			return self.countPath(
              i + 1, j, row, col
            ) + self.countPath(
              i, j + 1, row, col
            )
		else :
			return 0
		
	
	#  Handles the request to count path of the matrix
	def paths(self, row, col) :
		if (row <= 0 or col <= 0) :
			return
		
		#  Display given rows and columns
		print(" Row : ", row ,", Col : ", col, end = "")
		#  Display calculated result
		print("\n Paths : ", self.countPath(0, 0, row - 1, col - 1) ,"\n")
	

def main() :
	task = Counting()
	#  Test Cases
	task.paths(9, 7)
	task.paths(3, 7)
	task.paths(4, 4)

if __name__ == "__main__": main()

input

 Row :  9 , Col :  7
 Paths :  3003

 Row :  3 , Col :  7
 Paths :  28

 Row :  4 , Col :  4
 Paths :  20

#    Ruby Program
#    Count the number of ways to traverse a Matrix
class Counting 
	#  Count matrix path
	def countPath(i, j, row, col) 
		if (i == row && col == j) 
			return 1
		elsif (i <= row && j <= col) 
			#   Count matrix path recursively
			return self.countPath(i + 1, j, row, col) + 
              self.countPath(i, j + 1, row, col)
		else
 
			return 0
		end

	end

	#  Handles the request to count path of the matrix
	def paths(row, col) 
		if (row <= 0 || col <= 0) 
			return
		end

		#  Display given rows and columns
		print(" Row : ", row ,", Col : ", col)
		#  Display calculated result
		print("\n Paths : ", 
              self.countPath(0, 0, row - 1, col - 1) ,
              "\n\n")
	end

end

def main() 
	task = Counting.new()
	#  Test Cases
	task.paths(9, 7)
	task.paths(3, 7)
	task.paths(4, 4)
end

main()

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20


/*
    Scala Program
    Count the number of ways to traverse a Matrix
*/
class Counting()
{
	// Count matrix path
	def countPath(i: Int, j: Int, row: Int, col: Int): Int = {
		if (i == row && col == j)
		{
			return 1;
		}
		else if (i <= row && j <= col)
		{
			//  Count matrix path recursively
			return countPath(i + 1, j, row, col) + 
                   countPath(i, j + 1, row, col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	def paths(row: Int, col: Int): Unit = {
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		print(" Row : " + row + ", Col : " + col);
		// Display calculated result
		print("\n Paths : " + countPath(0, 0, row - 1, col - 1) + "\n\n");
	}
}
object Main
{
	def main(args: Array[String]): Unit = {
		var task: Counting = new Counting();
		// Test Cases
		task.paths(9, 7);
		task.paths(3, 7);
		task.paths(4, 4);
	}
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20

/*
    Swift 4 Program
    Count the number of ways to traverse a Matrix
*/
class Counting
{
	// Count matrix path
	func countPath(_ i: Int, _ j: Int, _ row: Int, _ col: Int) -> Int
	{
		if (i == row && col == j)
		{
			return 1;
		}
		else if (i <= row && j <= col)
		{
			//  Count matrix path recursively
			return self.countPath(i + 1, j, row, col) + 
              self.countPath(i, j + 1, row, col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	func paths(_ row: Int, _ col: Int)
	{
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		print(" Row : ", row ,", Col : ", col, terminator: "");
		// Display calculated result
		print("\n Paths : ", self.countPath(0, 0, row - 1, col - 1) ,"\n");
	}
}
func main()
{
	let task = Counting();
	// Test Cases
	task.paths(9, 7);
	task.paths(3, 7);
	task.paths(4, 4);
}
main();

input

 Row :  9 , Col :  7
 Paths :  3003

 Row :  3 , Col :  7
 Paths :  28

 Row :  4 , Col :  4
 Paths :  20

/*
    Kotlin Program
    Count the number of ways to traverse a Matrix
*/
class Counting
{
	// Count matrix path
	fun countPath(i: Int, j: Int, row: Int, col: Int): Int
	{
		if (i == row && col == j)
		{
			return 1;
		}
		else if (i <= row && j <= col)
		{
			//  Count matrix path recursively
			return this.countPath(i + 1, j, row, col) + 
              this.countPath(i, j + 1, row, col);
		}
		else
		{
			return 0;
		}
	}
	// Handles the request to count path of the matrix
	fun paths(row: Int, col: Int): Unit
	{
		if (row <= 0 || col <= 0)
		{
			return;
		}
		// Display given rows and columns
		print(" Row : " + row + ", Col : " + col);
		// Display calculated result
		print("\n Paths : " + this.countPath(0, 0, row - 1, col - 1) + "\n\n");
	}
}
fun main(args: Array < String > ): Unit
{
	val task: Counting = Counting();
	// Test Cases
	task.paths(9, 7);
	task.paths(3, 7);
	task.paths(4, 4);
}

input

 Row : 9, Col : 7
 Paths : 3003

 Row : 3, Col : 7
 Paths : 28

 Row : 4, Col : 4
 Paths : 20
Last updated on by Kalkicode




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