





'''simple docstring'''


def       __snake_case		( SCREAMING_SNAKE_CASE_ :			List[str] )							->     int:

       """simple docstring"""


       UpperCAmelCase  =						0
       UpperCAmelCase  =						len(SCREAMING_SNAKE_CASE_ )

       for i in range(n - 1 ):
              for j in range(i + 1			,	SCREAMING_SNAKE_CASE_ ):
                     if arr[i] > arr[j]:
                            num_inversions += 1

       return num_inversions
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			str )							->     Tuple:

       """simple docstring"""


       if len(SCREAMING_SNAKE_CASE_ ) <= 1:
              return arr, 0
       UpperCAmelCase  =						len(SCREAMING_SNAKE_CASE_ ) // 2
       UpperCAmelCase  =						arr[0:mid]
       UpperCAmelCase  =						arr[mid:]

       UpperCAmelCase,					UpperCAmelCase  =						count_inversions_recursive(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase,					UpperCAmelCase  =						count_inversions_recursive(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase,					UpperCAmelCase  =						_count_cross_inversions(SCREAMING_SNAKE_CASE_			,	SCREAMING_SNAKE_CASE_ )

       UpperCAmelCase  =						inversion_p + inversions_q + cross_inversions
       return c, num_inversions
def       __snake_case		( SCREAMING_SNAKE_CASE_ :			Tuple			,	SCREAMING_SNAKE_CASE_ :			Union[str, Any] )							->     Union[str, Any]:

       """simple docstring"""


       UpperCAmelCase  =						[]
       UpperCAmelCase  =						UpperCAmelCase  =						UpperCAmelCase  =						0
       while i < len(SCREAMING_SNAKE_CASE_ ) and j < len(SCREAMING_SNAKE_CASE_ ):
              if p[i] > q[j]:
                     # if P[1] > Q[j], then P[k] > Q[k] for all  i < k <= len(P)
                     # These are all inversions. The claim emerges from the
                     # property that P is sorted.
                     num_inversion += len(SCREAMING_SNAKE_CASE_ ) - i
                     r.append(q[j] )
                     j += 1
              else:
                     r.append(p[i] )
                     i += 1

       if i < len(SCREAMING_SNAKE_CASE_ ):
              r.extend(p[i:] )
       else:
              r.extend(q[j:] )

       return r, num_inversion
def       __snake_case		( )							->     Dict:

       """simple docstring"""


       UpperCAmelCase  =						[10, 2, 1, 5, 5, 2, 11]

       # this arr has 8 inversions:
       # (10, 2), (10, 1), (10, 5), (10, 5), (10, 2), (2, 1), (5, 2), (5, 2)

       UpperCAmelCase  =						count_inversions_bf(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase,					UpperCAmelCase  =						count_inversions_recursive(SCREAMING_SNAKE_CASE_ )

       assert num_inversions_bf == num_inversions_recursive == 8

       print('''number of inversions = '''			,	SCREAMING_SNAKE_CASE_ )

       # testing an array with zero inversion (a sorted arr_1)

       arr_a.sort()
       UpperCAmelCase  =						count_inversions_bf(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase,					UpperCAmelCase  =						count_inversions_recursive(SCREAMING_SNAKE_CASE_ )

       assert num_inversions_bf == num_inversions_recursive == 0
       print('''number of inversions = '''			,	SCREAMING_SNAKE_CASE_ )

       # an empty list should also have zero inversions
       UpperCAmelCase  =						[]
       UpperCAmelCase  =						count_inversions_bf(SCREAMING_SNAKE_CASE_ )
       UpperCAmelCase,					UpperCAmelCase  =						count_inversions_recursive(SCREAMING_SNAKE_CASE_ )

       assert num_inversions_bf == num_inversions_recursive == 0
       print('''number of inversions = '''			,	SCREAMING_SNAKE_CASE_ )


if __name__ == "__main__":
    main()





def 							_lowerCamelCase   (			SCREAMING_SNAKE_CASE   ):
      '''simple docstring'''







      if len(SCREAMING_SNAKE_CASE   ) < 2:
            return collection

      def circle_sort_util(SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE   ) -> bool:
            A_							       =		False

            if low == high:
                  return swapped

            A_							       =		low
            A_							       =		high

            while left < right:
                  if collection[left] > collection[right]:
                        A_       ,A_							       =		(
                            collection[right],
                            collection[left],
                        )
                        A_							       =		True

                  left += 1
                  right -= 1

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

                  A_							       =		True

            A_							       =		low + int((high - low) / 2   )
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE		,				SCREAMING_SNAKE_CASE   )
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				mid + 1		,				SCREAMING_SNAKE_CASE   )

            return swapped or left_swap or right_swap

      A_							       =		True

      while is_not_sorted is True:
            A_							       =		circle_sort_util(SCREAMING_SNAKE_CASE		,				0		,				len(SCREAMING_SNAKE_CASE   ) - 1   )

      return collection


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





