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#include <iostream>
void findMaxSubMatrix(int matrix[][5], int rows, int columns, int &startRow, int &startColumn, int &subRows, int &subColumns, int &sum);
using namespace std;
int main()
{
int matrix[5][5];
int rows, columns;
cout << "row and col" << endl;
cin >> rows;
cin >> columns;
cout << "Enter elements of the matrix: " << endl;
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < columns; j++)
{
cin >> matrix[i][j];
}
}
int startRow, startColumn, subRows, subColumns, sum;
findMaxSubMatrix(matrix, rows, columns, startRow, startColumn, subRows, subColumns, sum);
cout << "Maximum sub-matrix with only zeros starts at (" << startRow << ", " << startColumn << ") and has " << subRows << " rows and " << subColumns << " columns and has a sum of " << sum << "." << endl;
return 0;
}
void findMaxSubMatrix(int matrix[][5], int rows, int columns, int &startRow, int &startColumn, int &subRows, int &subColumns, int &sum)
{
int maxSum = 0;
for (int i = 0; i < rows; i++)
{
for (int j = 0; j < columns; j++)
{
for (int k = i; k < rows; k++)
{
for (int l = j; l < columns; l++)
{
int currentSum = 0;
for (int m = i; m <= k; m++)
{
for (int n = j; n <= l; n++)
{
currentSum += matrix[m][n];
}
}
if (currentSum == 0 && (k - i + 1) * (l - j + 1) > maxSum)
{
maxSum = (k - i + 1) * (l - j + 1);
startRow = i;
startColumn = j;
subRows = k - i + 1;
subColumns = l - j + 1;
sum = currentSum;
}
}
}
}
}
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