






"""simple docstring"""
from math import pi, sqrt, tan





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





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





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





def 				lowercase__		(					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 				lowercase__		(					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'       )
				_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    (height**2 + (radius_a - radius_a) ** 2) ** 0.5
				return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)





def 				lowercase__		(					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 				lowercase__		(					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(lowerCamelCase,						2       ) * torus_radius * tube_radius





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





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





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





def 				lowercase__		(					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'       )
				_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    (sidea + sidea + sidea) / 2
				_SCREAMING_SNAKE_CASE   :		Union[str, Any]       		=    sqrt(
				    semi_perimeter
				    * (semi_perimeter - sidea)
				    * (semi_perimeter - sidea)
				    * (semi_perimeter - sidea)       )
				return area





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





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





def 				lowercase__		(					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 				lowercase__		(					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 				lowercase__		(					lowerCamelCase,						lowerCamelCase       ):
				if not isinstance(lowerCamelCase,						lowerCamelCase       ) 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) = }')









"""simple docstring"""
import operator as op





def 				lowercase__		(					lowerCamelCase       ):
				_SCREAMING_SNAKE_CASE   :		int       		=    []
				_SCREAMING_SNAKE_CASE   :		Dict       		=    lambda lowerCamelCase,						lowerCamelCase       : int(x / y       )  # noqa: E731 integer division operation
				_SCREAMING_SNAKE_CASE   :		Tuple       		=    {
				    '^': op.pow,
				    '*': op.mul,
				    '/': div,
				    '+': op.add,
				    '-': op.sub,
				}  # operators & their respective operation

				# print table header
				print('Symbol'.center(8       ),						'Action'.center(12       ),						'Stack',						sep=' | '       )
				print('-' * (30 + len(lowerCamelCase       ))       )

				for x in post_fix:
								if x.isdigit():  # if x in digit
												stack.append(lowerCamelCase       )  # append x to stack
												# output in tabular format
												print(x.rjust(8       ),						('push(' + x + ')').ljust(12       ),						','.join(lowerCamelCase       ),						sep=' | '       )
								else:
												_SCREAMING_SNAKE_CASE   :		int       		=    stack.pop()  # pop stack
												# output in tabular format
												print(''.rjust(8       ),						('pop(' + b + ')').ljust(12       ),						','.join(lowerCamelCase       ),						sep=' | '       )

												_SCREAMING_SNAKE_CASE   :		Tuple       		=    stack.pop()  # pop stack
												# output in tabular format
												print(''.rjust(8       ),						('pop(' + a + ')').ljust(12       ),						','.join(lowerCamelCase       ),						sep=' | '       )

												stack.append(
												    str(opr[x](int(lowerCamelCase       ),						int(lowerCamelCase       )       )       )       )  # evaluate the 2 values popped from stack & push result to stack
												# output in tabular format
												print(
												    x.rjust(8       ),						('push(' + a + x + b + ')').ljust(12       ),						','.join(lowerCamelCase       ),						sep=' | ',						)

				return int(stack[0]       )


if __name__ == "__main__":
			lowerCAmelCase__    						=			input('\n\nEnter a Postfix Equation (space separated) = ').split(' ')
			print('\n\tResult = ', solve(Postfix))

