#include <iostream>
int matrix[10][10]{ { 5,-3, 1,-2}, 
                  {   1, 2, 3, 1}, 
                  {   6,-3,-1, 3} };

int main()
{  
    int determinant =
        matrix[0][0] * matrix[1][1] * matrix[2][2] +
        matrix[0][1] * matrix[1][2] * matrix[2][0] +
        matrix[1][0] * matrix[2][1] * matrix[0][2] -
        matrix[0][2] * matrix[1][1] * matrix[2][0] -
        matrix[0][1] * matrix[1][0] * matrix[2][2] -
        matrix[1][2] * matrix[2][1] * matrix[0][0];
    
    int determinant_a =
        matrix[0][3] * matrix[1][1] * matrix[2][2] +
        matrix[0][1] * matrix[1][2] * matrix[2][3] +
        matrix[1][3] * matrix[2][1] * matrix[0][2] -
        matrix[0][2] * matrix[1][1] * matrix[2][3] -
        matrix[0][1] * matrix[1][3] * matrix[2][2] -
        matrix[1][2] * matrix[2][1] * matrix[0][3];

    int determinant_b =
        matrix[0][0] * matrix[1][3] * matrix[2][2] +
        matrix[0][3] * matrix[1][2] * matrix[2][0] +
        matrix[1][0] * matrix[2][3] * matrix[0][2] -
        matrix[0][2] * matrix[1][3] * matrix[2][0] -
        matrix[0][3] * matrix[1][0] * matrix[2][2] -
        matrix[1][2] * matrix[2][3] * matrix[0][0];

    int determinant_c =
        matrix[0][0] * matrix[1][1] * matrix[2][3] +
        matrix[0][1] * matrix[1][3] * matrix[2][0] +
        matrix[1][0] * matrix[2][1] * matrix[0][3] -
        matrix[0][3] * matrix[1][1] * matrix[2][0] -
        matrix[0][1] * matrix[1][0] * matrix[2][3] -
        matrix[1][3] * matrix[2][1] * matrix[0][0];
    
    float x1 = static_cast<float>(determinant_a) / determinant;
    float x2 = static_cast<float>(determinant_b) / determinant;
    float x3 = static_cast<float>(determinant_c) / determinant;
    std::cout << "determinant = " << determinant << std::endl;
    std::cout << "determinant 1 = " << determinant_a << std::endl;
    std::cout << "determinant 2 = " << determinant_b << std::endl;
    std::cout << "determinant 3 = " << determinant_c << std::endl;
    std::cout << "X1 = " << x1 << std::endl;
    std::cout << "X2 = " << x2 << std::endl;
    std::cout << "X3 = " << x3 << std::endl;
}