





from math import pi, sqrt, tan






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if side_length < 0:
  raise ValueError("""surface_area_cube() only accepts non-negative values"""   )
 return 6 * side_length**2






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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		(      SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if radius < 0:
  raise ValueError("""surface_area_sphere() only accepts non-negative values"""   )
 return 4 * pi * radius**2






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if radius < 0:
  raise ValueError("""surface_area_hemisphere() only accepts non-negative values"""   )
 return 3 * pi * radius**2






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if radius_a < 0 or radius_a < 0 or height < 0:
  raise ValueError(
      """surface_area_conical_frustum() only accepts non-negative values"""   )
 __lowerCAmelCase					:	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 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if length < 0 or width < 0:
  raise ValueError("""area_rectangle() only accepts non-negative values"""   )
 return length * width






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   )      ->   float:
 if side_length < 0:
  raise ValueError("""area_square() only accepts non-negative values"""   )
 return side_length**2






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






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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"""   )
 __lowerCAmelCase					:	List[str]      =       (sidea + sidea + sidea) / 2
 __lowerCAmelCase					:	Dict      =       sqrt(
     semi_perimeter
     * (semi_perimeter - sidea)
     * (semi_perimeter - sidea)
     * (semi_perimeter - sidea)   )
 return area






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






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






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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		(      SCREAMING_SNAKE_CASE		:float   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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		(      SCREAMING_SNAKE_CASE		:int   ,   SCREAMING_SNAKE_CASE		:float   )      ->   float:
 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) = }''')






def 	_SCREAMING_SNAKE_CASE		(      SCREAMING_SNAKE_CASE		:list[int]   )      ->   int:
 if not numbers:
  return 0

 if not isinstance(SCREAMING_SNAKE_CASE   ,   (list, tuple)   ) or not all(
     isinstance(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   ) for number in numbers   ):
  raise ValueError("""numbers must be an iterable of integers"""   )

 __lowerCAmelCase					:	int      =       numbers[0]

 for i in range(1   ,   len(SCREAMING_SNAKE_CASE   )   ):
  # update the maximum and minimum subarray products
  __lowerCAmelCase					:	List[str]      =       numbers[i]
  if number < 0:
   __lowerCAmelCase ,					__lowerCAmelCase					:	Union[str, Any]      =       min_till_now, max_till_now
  __lowerCAmelCase					:	Optional[int]      =       max(SCREAMING_SNAKE_CASE   ,   max_till_now * number   )
  __lowerCAmelCase					:	List[Any]      =       min(SCREAMING_SNAKE_CASE   ,   min_till_now * number   )

  # update the maximum product found till now
  __lowerCAmelCase					:	List[str]      =       max(SCREAMING_SNAKE_CASE   ,   SCREAMING_SNAKE_CASE   )

 return max_prod