Matrix Multiplication in C++

#include  <iostream>     
using namespace std;
  
int main()
{
    int m, n, p, q, i, j, k, sum = 0;
    int first[5][5], second[5][5], multiply[10][10]; 
    cout << "Enter the no of rows and columns for first matrix: ";
    cin >> m >> n;
    cout << "Enter the elements for first matrix: ";
    for (i = 0; i < m; i++)
    {
        for (j = 0; j < n; j++)
        {
          cin >> first[i][j];
        }
    }
    cout << "Enter the no of rows and columns for second matrix: ";
    cin >> p >> q;
    cout << "Enter the elements for second matrix: ";
    for (i = 0; i < p; i++)
    {
        for (j = 0; j < q; j++)
        {
            cin >> second[i][j];
        }
    }
    if (n != p)
    {
        cout << "Matrices can't be multiplied with each other.";
    }
    else
    {
        for (i = 0; i < m; i++) 
        {
            for (j = 0; j < q; j++) 
            {
                for (k = 0; k < n; k++) 
                {
                    sum = sum + first[i][k]*second[k][j];
                }
                multiply[i][j] = sum;
                sum = 0;
            }
        }
        cout << "Product of the Matrices:" << endl;
        for (i = 0; i < m; i++) 
        {
            for (j = 0; j < q; j++)
            {
                cout << multiply[i][j] << " ";
            }
            cout << endl;
        }
    }
	return 0;    
}  

1. Start
2. Input `m` and `n` (number of rows and columns for the first matrix)
3. Input elements of the first matrix of size `m x n`:
 - For `i` from `0` to `m-1`:
 - For `j` from `0` to `n-1`:
 - Read element `first[i][j]`
4. Input `p` and `q` (number of rows and columns for the second matrix)
5. Input elements of the second matrix of size `p x q`:
 - For `i` from `0` to `p-1`:
 - For `j` from `0` to `q-1`:
 - Read element `second[i][j]`
6. Check if matrix multiplication is possible:
 - If `n` (columns of first matrix) is not equal to `p` (rows of second matrix), print:
  `"Matrices can't be multiplied with each other."` and stop.
7. Initialize a product matrix `multiply` of size `m x q` with all zeros.
8. Calculate the product matrix:
 - For `i` from `0` to `m-1`:
 - For `j` from `0` to `q-1`:
 - Initialize `sum = 0`
 - For `k` from `0` to `n-1`:
 - `sum = sum + (first[i][k] * second[k][j])`
 - Assign `multiply[i][j] = sum`
9. Print the resulting product matrix `multiply`:
 - For `i` from `0` to `m-1`:
 - For `j` from `0` to `q-1`:
 - Print `multiply[i][j]` followed by a space
 - Move to the next line after each row.
10. End