





def  lowerCAmelCase_ (							UpperCamelCase_  )     ->		Optional[int]:
       UpperCamelCase_          =  0
       UpperCamelCase_          =  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  lowerCAmelCase_ (							UpperCamelCase_  )     ->		Optional[Any]:
       if len(UpperCamelCase_  ) <= 1:
              return arr, 0
       UpperCamelCase_          =  len(UpperCamelCase_  ) // 2
       UpperCamelCase_          =  arr[0:mid]
       UpperCamelCase_          =  arr[mid:]

       UpperCamelCase_       , UpperCamelCase_          =  count_inversions_recursive(UpperCamelCase_  )
       UpperCamelCase_       , UpperCamelCase_          =  count_inversions_recursive(UpperCamelCase_  )
       UpperCamelCase_       , UpperCamelCase_          =  _count_cross_inversions(UpperCamelCase_					,		UpperCamelCase_  )

       UpperCamelCase_          =  inversion_p + inversions_q + cross_inversions
       return c, num_inversions




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_  )     ->		Union[str, Any]:
       UpperCamelCase_          =  []
       UpperCamelCase_          =  UpperCamelCase_          =  UpperCamelCase_          =  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  lowerCAmelCase_ (							)     ->		str:
       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(UpperCamelCase_  )
       UpperCamelCase_       , UpperCamelCase_          =  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()
       UpperCamelCase_          =  count_inversions_bf(UpperCamelCase_  )
       UpperCamelCase_       , UpperCamelCase_          =  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
       UpperCamelCase_          =  []
       UpperCamelCase_          =  count_inversions_bf(UpperCamelCase_  )
       UpperCamelCase_       , UpperCamelCase_          =  count_inversions_recursive(UpperCamelCase_  )

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


if __name__ == "__main__":
     main()








import argparse
import os
import re


_UpperCAmelCase        =				'src/transformers/models/auto'


# re pattern that matches mapping introductions:
#    SUPER_MODEL_MAPPING_NAMES = OrderedDict or SUPER_MODEL_MAPPING = OrderedDict
_UpperCAmelCase        =				re.compile(r'[A-Z_]+_MAPPING(\s+|_[A-Z_]+\s+)=\s+OrderedDict')
# re pattern that matches identifiers in mappings
_UpperCAmelCase        =				re.compile(r'\s*\(\s*"(\S[^"]+)"')




def  lowerCAmelCase_ (							UpperCamelCase_					,		UpperCamelCase_ = False  )     ->		Union[str, Any]:
       with open(UpperCamelCase_					,		"r"					,		encoding="utf-8"  ) as f:
              UpperCamelCase_          =  f.read()

       UpperCamelCase_          =  content.split("\n"  )
       UpperCamelCase_          =  []
       UpperCamelCase_          =  0
       while line_idx < len(UpperCamelCase_  ):
              if _re_intro_mapping.search(lines[line_idx]  ) is not None:
                     UpperCamelCase_          =  len(re.search(r"^(\s*)\S"					,		lines[line_idx]  ).groups()[0]  ) + 8
                     # Start of a new mapping!
                     while not lines[line_idx].startswith(" " * indent + "("  ):
                            new_lines.append(lines[line_idx]  )
                            line_idx += 1

                     UpperCamelCase_          =  []
                     while lines[line_idx].strip() != "]":
                            # Blocks either fit in one line or not
                            if lines[line_idx].strip() == "(":
                                   UpperCamelCase_          =  line_idx
                                   while not lines[line_idx].startswith(" " * indent + ")"  ):
                                          line_idx += 1
                                   blocks.append("\n".join(lines[start_idx : line_idx + 1]  )  )
                            else:
                                   blocks.append(lines[line_idx]  )
                            line_idx += 1

                     # Sort blocks by their identifiers
                     UpperCamelCase_          =  sorted(UpperCamelCase_					,		key=lambda UpperCamelCase_  : _re_identifier.search(UpperCamelCase_  ).groups()[0]  )
                     new_lines += blocks
              else:
                     new_lines.append(lines[line_idx]  )
                     line_idx += 1

       if overwrite:
              with open(UpperCamelCase_					,		"w"					,		encoding="utf-8"  ) as f:
                     f.write("\n".join(UpperCamelCase_  )  )
       elif "\n".join(UpperCamelCase_  ) != content:
              return True




def  lowerCAmelCase_ (							UpperCamelCase_ = False  )     ->		List[Any]:
       UpperCamelCase_          =  [os.path.join(UpperCamelCase_					,		UpperCamelCase_  ) for f in os.listdir(UpperCamelCase_  ) if f.endswith(".py"  )]
       UpperCamelCase_          =  [sort_auto_mapping(UpperCamelCase_					,		overwrite=UpperCamelCase_  ) for fname in fnames]

       if not overwrite and any(UpperCamelCase_  ):
              UpperCamelCase_          =  [f for f, d in zip(UpperCamelCase_					,		UpperCamelCase_  ) if d]
              raise ValueError(
                  F'''The following files have auto mappings that need sorting: {", ".join(UpperCamelCase_  )}. Run `make style` to fix'''
                  " this."  )


if __name__ == "__main__":
     _UpperCAmelCase        =				argparse.ArgumentParser()
     parser.add_argument('--check_only', action='store_true', help='Whether to only check or fix style.')
     _UpperCAmelCase        =				parser.parse_args()

     sort_all_auto_mappings(not args.check_only)

