"""simple docstring"""


class 							a					:


    def __init__(       self						:	List[Any] ,					__lowerCAmelCase						:	Dict ,					__lowerCAmelCase						:	Dict ,					__lowerCAmelCase						:	Union[str, Any]       ):
      _UpperCAmelCase    			=   name
      _UpperCAmelCase    			=   value
      _UpperCAmelCase    			=   weight


    def __repr__(       self						:	str       ):
      return f'''{self.__class__.__name__}({self.name}, {self.value}, {self.weight})'''


    def   lowerCAmelCase_	(       self						:	Optional[Any]       ):
      return self.value


    def   lowerCAmelCase_	(       self						:	Union[str, Any]       ):
      return self.name


    def   lowerCAmelCase_	(       self						:	List[Any]       ):
      return self.weight


    def   lowerCAmelCase_	(       self						:	List[str]       ):
      return self.value / self.weight






def      __UpperCAmelCase       (      lowercase ,lowercase ,lowercase		):







  """simple docstring"""
  _UpperCAmelCase    			=   []
  for i in range(len(lowercase		)		):
    menu.append(Things(name[i] ,value[i] ,weight[i]		)		)
  return menu






def      __UpperCAmelCase       (      lowercase ,lowercase ,lowercase		):







  """simple docstring"""
  _UpperCAmelCase    			=   sorted(lowercase ,key=lowercase ,reverse=lowercase		)
  _UpperCAmelCase    			=   []
  _UpperCAmelCase			,					_UpperCAmelCase    			=   0.0, 0.0
  for i in range(len(lowercase		)		):
    if (total_cost + items_copy[i].get_weight()) <= max_cost:
      result.append(items_copy[i]		)
      total_cost += items_copy[i].get_weight()
      total_value += items_copy[i].get_value()
  return (result, total_value)






def      __UpperCAmelCase       (      ):







  """simple docstring"""


if __name__ == "__main__":
    import doctest

    doctest.testmod()

"""simple docstring"""


from __future__ import annotations

from numpy import array, cos, cross, floataa, radians, sin
from numpy.typing import NDArray






def      __UpperCAmelCase       (      lowercase ,lowercase ,lowercase = False		):







  """simple docstring"""
  if radian_mode:
    return [magnitude * cos(lowercase		), magnitude * sin(lowercase		)]
  return [magnitude * cos(radians(lowercase		)		), magnitude * sin(radians(lowercase		)		)]






def      __UpperCAmelCase       (      lowercase ,lowercase ,lowercase = 10**-1		):







  """simple docstring"""
  _UpperCAmelCase    			=   cross(lowercase ,lowercase		)
  _UpperCAmelCase    			=   sum(lowercase		)
  return abs(lowercase		) < eps


if __name__ == "__main__":
    # Test to check if it works
    UpperCAmelCase__			=    array(
        [
            polar_force(718.4, 1_8_0 - 3_0),
            polar_force(879.54, 4_5),
            polar_force(1_0_0, -9_0),
        ]
    )

    UpperCAmelCase__			=    array([[0, 0], [0, 0], [0, 0]])

    assert in_static_equilibrium(forces, location)

    # Problem 1 in image_data/2D_problems.jpg
    UpperCAmelCase__			=    array(
        [
            polar_force(3_0 * 9.81, 1_5),
            polar_force(2_1_5, 1_8_0 - 4_5),
            polar_force(2_6_4, 9_0 - 3_0),
        ]
    )

    UpperCAmelCase__			=    array([[0, 0], [0, 0], [0, 0]])

    assert in_static_equilibrium(forces, location)

    # Problem in image_data/2D_problems_1.jpg
    UpperCAmelCase__			=    array([[0, -2_0_0_0], [0, -1_2_0_0], [0, 1_5_6_0_0], [0, -1_2_4_0_0]])

    UpperCAmelCase__			=    array([[0, 0], [6, 0], [1_0, 0], [1_2, 0]])

    assert in_static_equilibrium(forces, location)

    import doctest

    doctest.testmod()
