




'''simple docstring'''





def       __a      (  _UpperCamelCase:       List[str]       )		->					List[str]:

     """simple docstring"""




     _snake_case				= 0
     _snake_case				= len(_UpperCamelCase       )

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

     return num_inversions





def       __a      (  _UpperCamelCase:       Union[str, Any]       )		->					int:

     """simple docstring"""




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

     _snake_case				,   _snake_case				= count_inversions_recursive(_UpperCamelCase       )
     _snake_case				,   _snake_case				= count_inversions_recursive(_UpperCamelCase       )
     _snake_case				,   _snake_case				= _count_cross_inversions(_UpperCamelCase   ,		_UpperCamelCase       )

     _snake_case				= inversion_p + inversions_q + cross_inversions
     return c, num_inversions





def       __a      (  _UpperCamelCase:       List[Any]   ,		_UpperCamelCase:       Tuple       )		->					Tuple:

     """simple docstring"""




     _snake_case				= []
     _snake_case				= _snake_case				= _snake_case				= 0
     while i < len(_UpperCamelCase       ) and j < len(_UpperCamelCase       ):
          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(_UpperCamelCase       ) - i
               r.append(q[j]       )
               j += 1
          else:
               r.append(p[i]       )
               i += 1

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

     return r, num_inversion





def       __a      (  )		->					Optional[int]:

     """simple docstring"""




     _snake_case				= [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)

     _snake_case				= count_inversions_bf(_UpperCamelCase       )
     _snake_case				,   _snake_case				= count_inversions_recursive(_UpperCamelCase       )

     assert num_inversions_bf == num_inversions_recursive == 8

     print("number of inversions = "   ,		_UpperCamelCase       )

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

     arr_a.sort()
     _snake_case				= count_inversions_bf(_UpperCamelCase       )
     _snake_case				,   _snake_case				= count_inversions_recursive(_UpperCamelCase       )

     assert num_inversions_bf == num_inversions_recursive == 0
     print("number of inversions = "   ,		_UpperCamelCase       )

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

     assert num_inversions_bf == num_inversions_recursive == 0
     print("number of inversions = "   ,		_UpperCamelCase       )


if __name__ == "__main__":
   main()








'''simple docstring'''





from typing import Optional
from urllib.parse import quote

import huggingface_hub as hfh
from packaging import version





def       __a      (  _UpperCamelCase:       str   ,		_UpperCamelCase:       str   ,		_UpperCamelCase:       Optional[str] = None       )		->					str:

     """simple docstring"""




     if version.parse(hfh.__version__       ).release < version.parse("0.11.0"       ).release:
          # old versions of hfh don't url-encode the file path
          _snake_case				= quote(_UpperCamelCase       )
     return hfh.hf_hub_url(_UpperCamelCase   ,		_UpperCamelCase   ,		repo_type="dataset"   ,		revision=_UpperCamelCase       )


