



'''simple docstring'''






def     snake_case_					(     lowerCAmelCase_		)->		list:





       '''simple docstring'''


       if len(lowerCAmelCase_		) < 2:
              return collection

       def circle_sort_util(lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_		) -> bool:
              _UpperCAmelCase  :						Any			     = False

              if low == high:
                     return swapped

              _UpperCAmelCase  :						int			     = low
              _UpperCAmelCase  :						Tuple			     = high

              while left < right:
                     if collection[left] > collection[right]:
                            _UpperCAmelCase     ,_UpperCAmelCase  :						Optional[Any]			     = (
                                collection[right],
                                collection[left],
                            )
                            _UpperCAmelCase  :						Dict			     = True

                     left += 1
                     right -= 1

              if left == right and collection[left] > collection[right + 1]:
                     _UpperCAmelCase     ,_UpperCAmelCase  :						Any			     = (
                         collection[right + 1],
                         collection[left],
                     )

                     _UpperCAmelCase  :						Optional[int]			     = True

              _UpperCAmelCase  :						str			     = low + int((high - low) / 2		)
              _UpperCAmelCase  :						Any			     = circle_sort_util(lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_		)
              _UpperCAmelCase  :						Dict			     = circle_sort_util(lowerCAmelCase_       ,   mid + 1       ,   lowerCAmelCase_		)

              return swapped or left_swap or right_swap

       _UpperCAmelCase  :						Union[str, Any]			     = True

       while is_not_sorted is True:
              _UpperCAmelCase  :						List[str]			     = circle_sort_util(lowerCAmelCase_       ,   0       ,   len(lowerCAmelCase_		) - 1		)

       return collection


if __name__ == "__main__":
   A_							: Dict						 =	input("""Enter numbers separated by a comma:\n""").strip()
   A_							: int						 =	[int(item) for item in user_input.split(""",""")]
   print(circle_sort(unsorted))








'''simple docstring'''






from __future__ import annotations

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




def     snake_case_					(     lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_ = False		)->		list[float]:





       '''simple docstring'''


       if radian_mode:
              return [magnitude * cos(lowerCAmelCase_		), magnitude * sin(lowerCAmelCase_		)]
       return [magnitude * cos(radians(lowerCAmelCase_		)		), magnitude * sin(radians(lowerCAmelCase_		)		)]




def     snake_case_					(     lowerCAmelCase_       ,   lowerCAmelCase_       ,   lowerCAmelCase_ = 10**-1		)->		bool:





       '''simple docstring'''


       _UpperCAmelCase  :						NDArray[floataa]			     = cross(lowerCAmelCase_       ,   lowerCAmelCase_		)
       _UpperCAmelCase  :						float			     = sum(lowerCAmelCase_		)
       return abs(lowerCAmelCase_		) < eps


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

   A_							: NDArray[floataa]						 =	array([[0, 0], [0, 0], [0, 0]])

   assert in_static_equilibrium(forces, location)

   # Problem 1 in image_data/2D_problems.jpg
   A_							: List[str]						 =	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),
       ]
   )

   A_							: Tuple						 =	array([[0, 0], [0, 0], [0, 0]])

   assert in_static_equilibrium(forces, location)

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

   A_							: Union[str, Any]						 =	array([[0, 0], [6, 0], [1_0, 0], [1_2, 0]])

   assert in_static_equilibrium(forces, location)

   import doctest

   doctest.testmod()



