#Feasible Basis Extension


    # Solve the linear programming problem

    # Check if the problem is feasible

# Example usage
    # Define the linear programming problem

    # Solve the "Feasible Basis Extension" problem


if __name__ == '__main__':
    from scipy.optimize import linprog
    def solve_feasible_basis_extension(c, A_eq, b_eq, A_ub, b_ub):
        result = linprog(c, A_ub=A_ub, b_ub=b_ub, A_eq=A_eq, b_eq=b_eq)
        if result.success:
            print("Feasible basis extension found.")
            print("Optimal solution:", result.x)
        else:
            print("No feasible basis extension found.")
    if __name__ == "__main__":
        c = [-1, -1]  # Objective function coefficients
        A_eq = [[2, 1]]  # Equality constraint matrix
        b_eq = [3]  # Equality constraint vector
        A_ub = [[-1, 1]]  # Inequality constraint matrix
        b_ub = [1]  # Inequality constraint vector
        solve_feasible_basis_extension(c, A_eq, b_eq, A_ub, b_ub)
