Maximum sum path in a Matrix

Here given code implementation process.

``````// C Program
// Maximum sum path in a Matrix
#include <stdio.h>
#include <limits.h>

#define R 3
#define C 4

// Find the path sum of (0,0) to Matrix (R-1,C-1)
void path_sum(int matrix[R][C],int *output,int i ,int j,int count,int k,int sum)
{

if(count==k && *output < sum)
{
// When get a new result
*output = sum;
}
else if(i < R && j < C)
{
//Recursive execute method with new parameters
path_sum(matrix,output,i+1,j,count+1,k,sum+matrix[i][j]);
path_sum(matrix,output,i,j+1,count+1,k,sum+matrix[i][j]);
}
}

// Handles the request to find max path sum in a matrix
void max_path_sum(int matrix[R][C])
{
// Set initially min value
int output = INT_MIN;

// Calculate max path sum
path_sum(matrix,&output,0,0,0,R+C-1,0);

// Display find result
printf(" %d \n",output);
}

int main()
{
int matrix[R][C] =
{
{4, 6, -2 , 2 },
{3, -1, 5 , 3 },
{1, 7,  4,  6 }
};
// 4 -> 6 -> -1 -> 7 -> 4 -> 6
max_path_sum(matrix);

return 0;
}``````

Output

`` 26``
``````/*
Java program
Maximum sum path in a Matrix
*/
// Define TreeNode
public class MyMatrix
{
public int output;
// Find the path sum of (0,0) to Matrix (R-1,C-1)
public void path_sum(int[][] matrix,
int i, int j,
int count, int k,
int sum,
int rows, int cols)
{
if (count == k && this.output < sum)
{
// When get a new result
this.output = sum;
}
else if (i < rows && j < cols)
{
//Recursive execute method with new parameters
path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j],rows,cols);
path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j],rows,cols);
}
}
// Handles the request to find max path sum in a matrix
public void max_path_sum(int[][] matrix)
{
int r = matrix.length;
int c = matrix[0].length;
// Set initially min value
this.output = Integer.MIN_VALUE;
// Calculate max path sum
path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
// Display find result
System.out.print("  " + this.output + " \n");
}
public static void main(String[] args)
{
MyMatrix obj = new MyMatrix();
int[][] matrix =
{
{
4 , 6 , -2 , 2
},
{
3 , -1 , 5 , 3
},
{
1 , 7 , 4 , 6
}
};
// 4->6->-1->7->4->6
obj.max_path_sum(matrix);
}
}``````

Output

``  26``
``````// Include header file
#include <iostream>
#include<limits.h>
#define R 3
#define C 4
using namespace std;
/*
C++ program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix
{
public: int output;
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
void path_sum(int matrix[R][C], int i, int j, int count, int k, int sum)
{
if (count == k && this->output < sum)
{
//  When get a new result
this->output = sum;
}
else if (i < R && j < C)
{
// Recursive execute method with new parameters
this->path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j]);
this->path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j]);
}
}
//  Handles the request to find max path sum in a matrix
void max_path_sum(int matrix[R][C])
{

//  Set initially min value
this->output = INT_MIN;
//  Calculate max path sum
this->path_sum(matrix, 0, 0, 0, R + C - 1, 0);
//  Display find result
cout << "  " << this->output << " \n";
}
};
int main()
{
MyMatrix obj = MyMatrix();
int matrix[R][C] = {
{
4 , 6 , -2 , 2
} , {
3 , -1 , 5 , 3
} , {
1 , 7 , 4 , 6
}
};
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
return 0;
}``````

Output

``  26``
``````// Include namespace system
using System;
/*
C# program
Maximum sum path in a Matrix
*/
//  Define TreeNode
public class MyMatrix
{
public int output;
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
public void path_sum(int[,] matrix, int i, int j, int count, int k, int sum, int rows, int cols)
{
if (count == k && this.output < sum)
{
//  When get a new result
this.output = sum;
}
else if (i < rows && j < cols)
{
// Recursive execute method with new parameters
path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i,j], rows, cols);
path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i,j], rows, cols);
}
}
//  Handles the request to find max path sum in a matrix
public void max_path_sum(int[,] matrix)
{
int r = matrix.GetLength(0);
int c = matrix.GetLength(1);
//  Set initially min value
this.output = int.MinValue;
//  Calculate max path sum
path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
//  Display find result
Console.Write("  " + this.output + " \n");
}
public static void Main(String[] args)
{
MyMatrix obj = new MyMatrix();
int[,] matrix = {
{
4 , 6 , -2 , 2
} , {
3 , -1 , 5 , 3
} , {
1 , 7 , 4 , 6
}
};
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
}
}``````

Output

``  26``
``````<?php
/*
Php program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix
{
public \$output;
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
public	function path_sum( & \$matrix, \$i, \$j, \$count, \$k, \$sum, \$rows, \$cols)
{
if (\$count == \$k && \$this->output < \$sum)
{
//  When get a new result
\$this->output = \$sum;
}
else if (\$i < \$rows && \$j < \$cols)
{
// Recursive execute method with new parameters
\$this->path_sum(\$matrix, \$i + 1, \$j, \$count + 1, \$k, \$sum + \$matrix[\$i][\$j], \$rows, \$cols);
\$this->path_sum(\$matrix, \$i, \$j + 1, \$count + 1, \$k, \$sum + \$matrix[\$i][\$j], \$rows, \$cols);
}
}
//  Handles the request to find max path sum in a matrix
public	function max_path_sum( & \$matrix)
{
\$r = count(\$matrix);
\$c = count(\$matrix[0]);
//  Set initially min value
\$this->output = -PHP_INT_MAX;
//  Calculate max path sum
\$this->path_sum(\$matrix, 0, 0, 0, \$r + \$c - 1, 0, \$r, \$c);
//  Display find result
echo "  ". \$this->output ." \n";
}
}

function main()
{
\$obj = new MyMatrix();
\$matrix = array(
array(4, 6, -2, 2),
array(3, -1, 5, 3),
array(1, 7, 4, 6)
);
//  4->6->-1->7->4->6
\$obj->max_path_sum(\$matrix);
}
main();``````

Output

``  26``
``````/*
Node Js program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix
{
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
path_sum(matrix, i, j, count, k, sum, rows, cols)
{
if (count == k && this.output < sum)
{
//  When get a new result
this.output = sum;
}
else if (i < rows && j < cols)
{
// Recursive execute method with new parameters
this.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j], rows, cols);
this.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j], rows, cols);
}
}
//  Handles the request to find max path sum in a matrix
max_path_sum(matrix)
{
var r = matrix.length;
var c = matrix[0].length;
//  Set initially min value
this.output = -Number.MAX_VALUE;
//  Calculate max path sum
this.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
//  Display find result
process.stdout.write("  " + this.output + " \n");
}
}

function main()
{
var obj = new MyMatrix();
var matrix = [
[4, 6, -2, 2] , [3, -1, 5, 3] , [1, 7, 4, 6]
];
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
}
main();``````

Output

``  26``
``````import sys

#  Python 3 program
#  Maximum sum path in a Matrix

#  Define TreeNode
class MyMatrix :

#  Find the path sum of (0,0) to Matrix (R-1,C-1)
def path_sum(self, matrix, i, j, count, k, sum, rows, cols) :
if (count == k and self.output < sum) :
#  When get a new result
self.output = sum

elif(i < rows and j < cols) :
# Recursive execute method with new parameters
self.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j], rows, cols)
self.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j], rows, cols)

#  Handles the request to find max path sum in a matrix
def max_path_sum(self, matrix) :
r = len(matrix)
c = len(matrix[0])
#  Set initially min value
self.output = -sys.maxsize
#  Calculate max path sum
self.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c)
#  Display find result
print("  ", self.output ," \n", end = "")

def main() :
obj = MyMatrix()
matrix = [
[4, 6, -2, 2] ,
[3, -1, 5, 3] ,
[1, 7, 4, 6]
]
#  4->6->-1->7->4->6
obj.max_path_sum(matrix)

if __name__ == "__main__": main()``````

Output

``   26``
``````#  Ruby program
#  Maximum sum path in a Matrix

#  Define TreeNode
class MyMatrix
# Define the accessor and reader of class MyMatrix
attr_accessor :output

#  Find the path sum of (0,0) to Matrix (R-1,C-1)
def path_sum(matrix, i, j, count, k, sum, rows, cols)
if (count == k && self.output < sum)
#  When get a new result
self.output = sum
elsif(i < rows && j < cols)
# Recursive execute method with new parameters
self.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j], rows, cols)
self.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j], rows, cols)
end

end

#  Handles the request to find max path sum in a matrix
def max_path_sum(matrix)
r = matrix.length
c = matrix[0].length
#  Set initially min value
self.output = -(2 ** (0. size * 8 - 2))
#  Calculate max path sum
self.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c)
#  Display find result
print("  ", self.output ," \n")
end

end

def main()
obj = MyMatrix.new()
matrix = [
[4, 6, -2, 2] ,
[3, -1, 5, 3] ,
[1, 7, 4, 6]
]
#  4->6->-1->7->4->6
obj.max_path_sum(matrix)
end

main()``````

Output

``````  26
``````
``````/*
Scala program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix(var output: Int)
{
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
def path_sum(matrix: Array[Array[Int]],
i: Int, j: Int, count: Int, k: Int,
sum: Int, rows: Int, cols: Int): Unit = {
if (count == k && this.output < sum)
{
//  When get a new result
this.output = sum;
}
else if (i < rows && j < cols)
{
// Recursive execute method with new parameters
this.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix(i)(j), rows, cols);
this.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix(i)(j), rows, cols);
}
}
//  Handles the request to find max path sum in a matrix
def max_path_sum(matrix: Array[Array[Int]]): Unit = {
var r: Int = matrix.length;
var c: Int = matrix(0).length;
//  Set initially min value
this.output = Int.MinValue;
//  Calculate max path sum
this.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
//  Display find result
print("  " + this.output + " \n");
}
}
object Main
{
def main(args: Array[String]): Unit = {
var obj: MyMatrix = new MyMatrix(0);
var matrix: Array[Array[Int]] =
Array(Array(4, 6, -2, 2),
Array(3, -1, 5, 3),
Array(1, 7, 4, 6));
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
}
}``````

Output

``  26``
``````/*
Swift 4 program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix
{
var output: Int;
init()
{
self.output = 0;
}
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
func path_sum(_ matrix: [[Int]], _ i: Int, _ j: Int, _ count: Int, _ k: Int, _ sum: Int, _ rows: Int, _ cols: Int)
{
if (count == k && self.output < sum)
{
//  When get a new result
self.output = sum;
}
else if (i < rows && j < cols)
{
// Recursive execute method with new parameters
self.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j], rows, cols);
self.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j], rows, cols);
}
}
//  Handles the request to find max path sum in a matrix
func max_path_sum(_ matrix: [
[Int]
])
{
let r: Int = matrix.count;
let c: Int = matrix[0].count;
//  Set initially min value
self.output = Int.min;
//  Calculate max path sum
self.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
//  Display find result
print("  ", self.output ," \n", terminator: "");
}
}
func main()
{
let obj: MyMatrix = MyMatrix();
let matrix: [
[Int]
] = [
[4, 6, -2, 2] , [3, -1, 5, 3] , [1, 7, 4, 6]
];
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
}
main();``````

Output

``   26``
``````/*
Kotlin program
Maximum sum path in a Matrix
*/
//  Define TreeNode
class MyMatrix
{
var output: Int;
constructor()
{
this.output = 0;
}
//  Find the path sum of (0,0) to Matrix (R-1,C-1)
fun path_sum(matrix: Array < Array < Int >> , i: Int, j: Int, count: Int, k: Int, sum: Int, rows: Int, cols: Int): Unit
{
if (count == k && this.output < sum)
{
//  When get a new result
this.output = sum;
}
else if (i < rows && j < cols)
{
// Recursive execute method with new parameters
this.path_sum(matrix, i + 1, j, count + 1, k, sum + matrix[i][j], rows, cols);
this.path_sum(matrix, i, j + 1, count + 1, k, sum + matrix[i][j], rows, cols);
}
}
//  Handles the request to find max path sum in a matrix
fun max_path_sum(matrix: Array<Array<Int>> ): Unit
{
var r: Int = matrix.count();
var c: Int = matrix[0].count();
//  Set initially min value
this.output = Int.MIN_VALUE;
//  Calculate max path sum
this.path_sum(matrix, 0, 0, 0, r + c - 1, 0, r, c);
//  Display find result
print("  " + this.output + " \n");
}
}
fun main(args: Array < String > ): Unit
{
var obj: MyMatrix = MyMatrix();
var matrix: Array <Array<Int>> =
arrayOf(arrayOf(4, 6, -2, 2),
arrayOf(3, -1, 5, 3),
arrayOf(1, 7, 4, 6));
//  4->6->-1->7->4->6
obj.max_path_sum(matrix);
}``````

Output

``  26``

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