






"""simple docstring"""







import os
from typing import Optional

import fsspec
from fsspec.archive import AbstractArchiveFileSystem
from fsspec.utils import DEFAULT_BLOCK_SIZE





class   UpperCamelCase_ (       a_  ):
  _A       :					Union[str, Any]				=	''
  _A       :					str				=	(
      None  # protocol passed in prefix to the url. ex: "gzip", for gzip://file.txt::http://foo.bar/file.txt.gz
  )
  _A       :					str				=	None  # compression type in fsspec. ex: "gzip"
  _A       :					str				=	None  # extension of the filename to strip. ex: "".gz" to get file.txt from file.txt.gz



  def __init__(      self ,		snake_case__ = "" ,		snake_case__ = None ,		snake_case__ = None ,		**snake_case__				)			->			Union[str, Any]:



         """simple docstring"""





         super().__init__(self ,		**snake_case__				)
         # always open as "rb" since fsspec can then use the TextIOWrapper to make it work for "r" mode
         UpperCAmelCase	    =			fsspec.open(
             snake_case__ ,		mode="""rb""" ,		protocol=snake_case__ ,		compression=self.compression ,		client_kwargs={
                 """requote_redirect_url""": False,  # see https://github.com/huggingface/datasets/pull/5459
                 """trust_env""": True,  # Enable reading proxy env variables.
                 **(target_options or {}).pop("""client_kwargs""" ,		{}				),  # To avoid issues if it was already passed.
             } ,		**(target_options or {}) ,		)
         UpperCAmelCase	    =			os.path.basename(self.file.path.split("""::"""				)[0]				)
         UpperCAmelCase	    =			(
             self.compressed_name[: self.compressed_name.rindex("""."""				)]
             if """.""" in self.compressed_name
             else self.compressed_name
         )
         UpperCAmelCase	    =			None



  @classmethod
  def 		UpperCamelCase_				(      cls ,		snake_case__				)			->			Optional[int]:



         """simple docstring"""





         return super()._strip_protocol(snake_case__				).lstrip("""/"""				)



  def 		UpperCamelCase_				(      self				)			->			str:



         """simple docstring"""





         if self.dir_cache is None:
                UpperCAmelCase	    =			{**self.file.fs.info(self.file.path				), """name""": self.uncompressed_name}
                UpperCAmelCase	    =			{f["""name"""]: f}



  def 		UpperCamelCase_				(      self ,		snake_case__				)			->			int:



         """simple docstring"""





         return self.file.open().read()



  def 		UpperCamelCase_				(      self ,		snake_case__ ,		snake_case__ = "rb" ,		snake_case__=None ,		snake_case__=True ,		snake_case__=None ,		**snake_case__ ,		)			->			Optional[int]:



         """simple docstring"""





         UpperCAmelCase	    =			self._strip_protocol(snake_case__				)
         if mode != "rb":
                raise ValueError(f'''Tried to read with mode {mode} on file {self.file.path} opened with mode \'rb\''''				)
         return self.file.open()





class   UpperCamelCase_ (       a_  ):
  _A       :					Dict				=	'bz2'
  _A       :					Union[str, Any]				=	'bz2'
  _A       :					List[Any]				=	'.bz2'





class   UpperCamelCase_ (       a_  ):
  _A       :					Optional[Any]				=	'gzip'
  _A       :					str				=	'gzip'
  _A       :					str				=	'.gz'





class   UpperCamelCase_ (       a_  ):
  _A       :					int				=	'lz4'
  _A       :					Dict				=	'lz4'
  _A       :					List[Any]				=	'.lz4'





class   UpperCamelCase_ (       a_  ):
  _A       :					Optional[Any]				=	'xz'
  _A       :					List[Any]				=	'xz'
  _A       :					List[Any]				=	'.xz'





class   UpperCamelCase_ (       a_  ):
  _A       :					List[Any]				=	'zstd'
  _A       :					List[str]				=	'zstd'
  _A       :					str				=	'.zst'



  def __init__(      self ,		snake_case__ ,		snake_case__ = "rb" ,		snake_case__ = None ,		snake_case__ = None ,		snake_case__ = DEFAULT_BLOCK_SIZE ,		**snake_case__ ,		)			->			Union[str, Any]:



         """simple docstring"""





         super().__init__(
             fo=snake_case__ ,		mode=snake_case__ ,		target_protocol=snake_case__ ,		target_options=snake_case__ ,		block_size=snake_case__ ,		**snake_case__ ,		)
         # We need to wrap the zstd decompressor to avoid this error in fsspec==2021.7.0 and zstandard==0.15.2:
         #
         # File "/Users/user/.virtualenvs/hf-datasets/lib/python3.7/site-packages/fsspec/core.py", line 145, in open
         #     out.close = close
         # AttributeError: 'zstd.ZstdDecompressionReader' object attribute 'close' is read-only
         #
         # see https://github.com/intake/filesystem_spec/issues/725
         UpperCAmelCase	    =			self.file.__enter__





         class   UpperCamelCase_ :



           def __init__(      self ,		snake_case__				)			->			Optional[int]:



                  """simple docstring"""





                  UpperCAmelCase	    =			file_



           def __enter__(      self				)			->			Optional[int]:



                  """simple docstring"""





                  self._file.__enter__()
                  return self



           def __exit__(      self ,		*snake_case__ ,		**snake_case__				)			->			Dict:



                  """simple docstring"""





                  self._file.__exit__(*snake_case__ ,		**snake_case__				)



           def __iter__(      self				)			->			Dict:



                  """simple docstring"""





                  return iter(self._file				)



           def 		UpperCamelCase_				(      self				)			->			Dict:



                  """simple docstring"""





                  return next(self._file				)



           def __getattr__(      self ,		snake_case__				)			->			List[Any]:



                  """simple docstring"""





                  return getattr(self._file ,		snake_case__				)

         def fixed_enter(*snake_case__ ,		**snake_case__				):
                return WrappedFile(_enter(*snake_case__ ,		**snake_case__				)				)

         UpperCAmelCase	    =			fixed_enter








"""simple docstring"""







def       _lowerCAmelCase       (      lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase	    =			0
       UpperCAmelCase	    =			len(lowerCAmelCase		)

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

       return num_inversions






def       _lowerCAmelCase       (      lowerCAmelCase		):







       '''simple docstring'''
       if len(lowerCAmelCase		) <= 1:
              return arr, 0
       UpperCAmelCase	    =			len(lowerCAmelCase		) // 2
       UpperCAmelCase	    =			arr[0:mid]
       UpperCAmelCase	    =			arr[mid:]

       UpperCAmelCase    ,       UpperCAmelCase	    =			count_inversions_recursive(lowerCAmelCase		)
       UpperCAmelCase    ,       UpperCAmelCase	    =			count_inversions_recursive(lowerCAmelCase		)
       UpperCAmelCase    ,       UpperCAmelCase	    =			_count_cross_inversions(lowerCAmelCase	,      lowerCAmelCase		)

       UpperCAmelCase	    =			inversion_p + inversions_q + cross_inversions
       return c, num_inversions






def       _lowerCAmelCase       (      lowerCAmelCase	,      lowerCAmelCase		):







       '''simple docstring'''
       UpperCAmelCase	    =			[]
       UpperCAmelCase	    =			UpperCAmelCase	    =			UpperCAmelCase	    =			0
       while i < len(lowerCAmelCase		) and j < len(lowerCAmelCase		):
              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(lowerCAmelCase		) - i
                     r.append(q[j]		)
                     j += 1
              else:
                     r.append(p[i]		)
                     i += 1

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

       return r, num_inversion






def       _lowerCAmelCase       (      ):







       '''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(lowerCAmelCase		)
       UpperCAmelCase    ,       UpperCAmelCase	    =			count_inversions_recursive(lowerCAmelCase		)

       assert num_inversions_bf == num_inversions_recursive == 8

       print("""number of inversions = """	,      lowerCAmelCase		)

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

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

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

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

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


if __name__ == "__main__":
 main()
