#Quadratic diophantine equations

    # Check if the equation is linear

    # Check if the equation is homogeneous

    # Solve the equation using a loop


# Example usage


if __name__ == '__main__':
    def solve_quadratic_diophantine(a, b, c, d, e, f):
        if a == 0 and b == 0 and c == 0:
            if d == 0 and e == 0 and f == 0:
                return True  # Infinite integer solutions
            else:
                return False  # No integer solutions
        if d == 0 and e == 0 and f == 0:
            return True  # Infinite integer solutions
        for x in range(-100, 101):
            for y in range(-100, 101):
                if a * x**2 + b * x * y + c * y**2 + d * x + e * y + f == 0:
                    return True  # Integer solution found
        return False  # No integer solutions found
    a = 2
    b = 1
    c = 3
    d = 4
    e = 5
    f = 6
    has_integer_solution = solve_quadratic_diophantine(a, b, c, d, e, f)
    print("Has integer solution:", has_integer_solution)
