

from math import pi, sqrt, tan
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if side_length < 0:
        raise ValueError('surface_area_cube() only accepts non-negative values'				)
    return 6 * side_length**2
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    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 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if radius < 0:
        raise ValueError('surface_area_sphere() only accepts non-negative values'				)
    return 4 * pi * radius**2
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if radius < 0:
        raise ValueError('surface_area_hemisphere() only accepts non-negative values'				)
    return 3 * pi * radius**2
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    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 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if radius_a < 0 or radius_a < 0 or height < 0:
        raise ValueError(
            'surface_area_conical_frustum() only accepts non-negative values'				)
    A__   				=       (height**2 + (radius_a - radius_a) ** 2) ** 0.5
    return pi * ((slant_height * (radius_a + radius_a)) + radius_a**2 + radius_a**2)
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






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





    '''simple docstring'''






    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(SCREAMING_SNAKE_CASE__   ,      2				) * torus_radius * tube_radius
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if length < 0 or width < 0:
        raise ValueError('area_rectangle() only accepts non-negative values'				)
    return length * width
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if side_length < 0:
        raise ValueError('area_square() only accepts non-negative values'				)
    return side_length**2
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






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





    '''simple docstring'''






    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'				)
    A__   				=       (sidea + sidea + sidea) / 2
    A__   				=       sqrt(
        semi_perimeter
        * (semi_perimeter - sidea)
        * (semi_perimeter - sidea)
        * (semi_perimeter - sidea)				)
    return area
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if base < 0 or height < 0:
        raise ValueError('area_parallelogram() only accepts non-negative values'				)
    return base * height
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    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 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if radius < 0:
        raise ValueError('area_circle() only accepts non-negative values'				)
    return pi * radius**2
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     float   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






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





    '''simple docstring'''






    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 						_snake_case(   SCREAMING_SNAKE_CASE__      :     int   ,      SCREAMING_SNAKE_CASE__      :     float				)							->				float:





    '''simple docstring'''






    if not isinstance(SCREAMING_SNAKE_CASE__   ,      SCREAMING_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 __future__ import annotations

from typing import Any
def 						_snake_case(   SCREAMING_SNAKE_CASE__      :     list				)							->				int:





    '''simple docstring'''






    if not postfix_notation:
        return 0

    A__   				=       {'+', '-', '*', '/'}
    A__   				=       []

    for token in postfix_notation:
        if token in operations:
            A__				,						A__   				=       stack.pop(), stack.pop()
            if token == "+":
                stack.append(a + b				)
            elif token == "-":
                stack.append(a - b				)
            elif token == "*":
                stack.append(a * b				)
            else:
                if a * b < 0 and a % b != 0:
                    stack.append(a // b + 1				)
                else:
                    stack.append(a // b				)
        else:
            stack.append(int(SCREAMING_SNAKE_CASE__				)				)

    return stack.pop()


if __name__ == "__main__":
     import doctest

     doctest.testmod()

