# Find row with maximum sum in a Matrix in C++

C++Server Side ProgrammingProgramming

In this problem, we are given a matrix mat[][] of size N*N. Our task is to Find the row with maximum sum in a Matrix.

Let’s take an example to understand the problem,

## Input

mat[][] = {
8, 4, 1, 9
3, 5, 7, 9
2, 4, 6, 8
1, 2, 3, 4
}

## Output

Row 2, sum 24

## Explanation

Row 1: sum = 8+4+1+9 = 22
Row 2: sum = 3+5+7+9 = 24
Row 3: sum = 2+4+6+8 = 20
Row 4: sum = 1+2+3+4 = 10

## Solution Approach

A simple solution to the problem is to find the sum of elements of each row and keep a track of maximum sum. Then after all rows are traversed return the row with maximum sum.

Program to illustrate the working of our solution,

## Example

Live Demo

#include <iostream>
using namespace std;
#define R 4
#define C 4
void findMax1Row(int mat[R][C]) {
int maxSumRow = 0, maxSum = -1;
int i, index;
for (i = 0; i < R; i++) {
int sum = 0;
for(int j = 0; j < C; j++){
sum += mat[i][j];
}
if(sum > maxSum){
maxSum = sum;
maxSumRow = i;
}
}
cout<<"Row : "<<(maxSumRow+1)<<" has the maximum sum
which is "<<maxSum;
}
int main() {
int mat[R][C] = {
{8, 4, 1, 9},
{3, 5, 7, 9},
{2, 4, 6, 8},
{1, 2, 3, 4}
};
findMax1Row(mat);
return 0;
}

## Output

Row : 2 has the maximum sum which is 24