





from math import pi, sqrt, tan


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase					):
							if side_length < 0:
														raise ValueError('''surface_area_cube() only accepts non-negative values'''					)
							return 6 * side_length**2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase					):
							if length < 0 or breadth < 0 or height < 0:
														raise ValueError('''surface_area_cuboid() only accepts non-negative values'''					)
							return 2 * ((length * breadth) + (breadth * height) + (length * height))


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase					):
							if radius < 0:
														raise ValueError('''surface_area_sphere() only accepts non-negative values'''					)
							return 4 * pi * radius**2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase					):
							if radius < 0:
														raise ValueError('''surface_area_hemisphere() only accepts non-negative values'''					)
							return 3 * pi * radius**2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if radius < 0 or height < 0:
														raise ValueError('''surface_area_cone() only accepts non-negative values'''					)
							return pi * radius * (radius + (height**2 + radius**2) ** 0.5)


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase					):
							if radius_a < 0 or radius_a < 0 or height < 0:
														raise ValueError(
														    '''surface_area_conical_frustum() only accepts non-negative values'''					)
							_UpperCamelCase              =						(height**2 + (radius_a - radius_a) ** 2) ** 0.5
							return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if radius < 0 or height < 0:
														raise ValueError('''surface_area_cylinder() only accepts non-negative values'''					)
							return 2 * pi * radius * (height + radius)


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if torus_radius < 0 or tube_radius < 0:
														raise ValueError('''surface_area_torus() only accepts non-negative values'''					)
							if torus_radius < tube_radius:
														raise ValueError(
														    '''surface_area_torus() does not support spindle or self intersecting tori'''					)
							return 4 * pow(snake_case_    ,       2					) * torus_radius * tube_radius


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if length < 0 or width < 0:
														raise ValueError('''area_rectangle() only accepts non-negative values'''					)
							return length * width


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase					):
							if side_length < 0:
														raise ValueError('''area_square() only accepts non-negative values'''					)
							return side_length**2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if base < 0 or height < 0:
														raise ValueError('''area_triangle() only accepts non-negative values'''					)
							return (base * height) / 2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase					):
							if sidea < 0 or sidea < 0 or sidea < 0:
														raise ValueError('''area_triangle_three_sides() only accepts non-negative values'''					)
							elif sidea + sidea < sidea or sidea + sidea < sidea or sidea + sidea < sidea:
														raise ValueError('''Given three sides do not form a triangle'''					)
							_UpperCamelCase              =						(sidea + sidea + sidea) / 2
							_UpperCamelCase              =						sqrt(
							    semi_perimeter
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)
							    * (semi_perimeter - sidea)					)
							return area


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if base < 0 or height < 0:
														raise ValueError('''area_parallelogram() only accepts non-negative values'''					)
							return base * height


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase    ,       lowerCAmelCase					):
							if basea < 0 or basea < 0 or height < 0:
														raise ValueError('''area_trapezium() only accepts non-negative values'''					)
							return 1 / 2 * (basea + basea) * height


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase					):
							if radius < 0:
														raise ValueError('''area_circle() only accepts non-negative values'''					)
							return pi * radius**2


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if radius_x < 0 or radius_y < 0:
														raise ValueError('''area_ellipse() only accepts non-negative values'''					)
							return pi * radius_x * radius_y


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if diagonal_a < 0 or diagonal_a < 0:
														raise ValueError('''area_rhombus() only accepts non-negative values'''					)
							return 1 / 2 * diagonal_a * diagonal_a


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase    ,       lowerCAmelCase					):
							if not isinstance(snake_case_    ,       snake_case_					) or sides < 3:
														raise ValueError(
														    '''area_reg_polygon() only accepts integers greater than or \
equal to three as number of sides'''					)
							elif length < 0:
														raise ValueError(
														    '''area_reg_polygon() only accepts non-negative values as \
length of a side'''					)
							return (sides * length**2) / (4 * tan(pi / sides					))
							return (sides * length**2) / (4 * tan(pi / sides					))


if __name__ == "__main__":
							import doctest

							doctest.testmod(verbose=True)  # verbose so we can see methods missing tests

							print("""[DEMO] Areas of various geometric shapes: \n""")
							print(F'''Rectangle: {area_rectangle(10, 20) = }''')
							print(F'''Square: {area_square(10) = }''')
							print(F'''Triangle: {area_triangle(10, 10) = }''')
							print(F'''Triangle: {area_triangle_three_sides(5, 12, 13) = }''')
							print(F'''Parallelogram: {area_parallelogram(10, 20) = }''')
							print(F'''Rhombus: {area_rhombus(10, 20) = }''')
							print(F'''Trapezium: {area_trapezium(10, 20, 30) = }''')
							print(F'''Circle: {area_circle(20) = }''')
							print(F'''Ellipse: {area_ellipse(10, 20) = }''')
							print("""\nSurface Areas of various geometric shapes: \n""")
							print(F'''Cube: {surface_area_cube(20) = }''')
							print(F'''Cuboid: {surface_area_cuboid(10, 20, 30) = }''')
							print(F'''Sphere: {surface_area_sphere(20) = }''')
							print(F'''Hemisphere: {surface_area_hemisphere(20) = }''')
							print(F'''Cone: {surface_area_cone(10, 20) = }''')
							print(F'''Conical Frustum: {surface_area_conical_frustum(10, 20, 30) = }''')
							print(F'''Cylinder: {surface_area_cylinder(10, 20) = }''')
							print(F'''Torus: {surface_area_torus(20, 10) = }''')
							print(F'''Equilateral Triangle: {area_reg_polygon(3, 10) = }''')
							print(F'''Square: {area_reg_polygon(4, 10) = }''')
							print(F'''Reqular Pentagon: {area_reg_polygon(5, 10) = }''')













from math import factorial


def     SCREAMING_SNAKE_CASE			(      lowerCAmelCase = 20					):
       _UpperCamelCase              =						2 * n  # middle entry of odd rows starting at row 3 is the solution for n = 1,
       # 2, 3,...
       _UpperCamelCase              =						n // 2

       return int(factorial(lowerCAmelCase					) / (factorial(lowerCAmelCase					) * factorial(n - k					))					)


if __name__ == "__main__":
       import sys

       if len(sys.argv) == 1:
              print(solution(20))
       else:
              try:
                     lowercase    : Dict    	=  int(sys.argv[1])
                     print(solution(n))
              except ValueError:
                     print("""Invalid entry - please enter a number.""")






