





import argparse
import os
import re


_A :   Optional[int]  			=  'src/transformers'

# Pattern that looks at the indentation in a line.
_A :   Optional[Any]  			=  re.compile(r'^(\s*)\S')
# Pattern that matches `"key":" and puts `key` in group 0.
_A :   Optional[Any]  			=  re.compile(r'^\s*"([^"]+)":')
# Pattern that matches `_import_structure["key"]` and puts `key` in group 0.
_A :   List[str]  			=  re.compile(r'^\s*_import_structure\["([^"]+)"\]')
# Pattern that matches `"key",` and puts `key` in group 0.
_A :   int  			=  re.compile(r'^\s*"([^"]+)",\s*$')
# Pattern that matches any `[stuff]` and puts `stuff` in group 0.
_A :   List[Any]  			=  re.compile(r'\[([^\]]+)\]')



def 	_a						(   UpperCAmelCase					)    ->    Optional[Any]:







   """simple docstring"""
   lowerCamelCase__       :						List[str]        =							_re_indent.search(UpperCAmelCase					)
   return "" if search is None else search.groups()[0]



def 	_a						(   UpperCAmelCase      ,  UpperCAmelCase=""      ,  UpperCAmelCase=None      ,  UpperCAmelCase=None					)    ->    Any:







   """simple docstring"""
   lowerCamelCase__       :						Dict        =							0
   lowerCamelCase__       :						Tuple        =							code.split('''\n'''					)
   if start_prompt is not None:
      while not lines[index].startswith(UpperCAmelCase					):
         index += 1
      lowerCamelCase__       :						Dict        =							['''\n'''.join(lines[:index]					)]
   else:
      lowerCamelCase__       :						Optional[Any]        =							[]

   # We split into blocks until we get to the `end_prompt` (or the end of the block).
   lowerCamelCase__       :						Union[str, Any]        =							[lines[index]]
   index += 1
   while index < len(UpperCAmelCase					) and (end_prompt is None or not lines[index].startswith(UpperCAmelCase					)):
      if len(lines[index]					) > 0 and get_indent(lines[index]					) == indent_level:
         if len(UpperCAmelCase					) > 0 and get_indent(current_block[-1]					).startswith(indent_level + ''' '''					):
            current_block.append(lines[index]					)
            blocks.append('''\n'''.join(UpperCAmelCase					)					)
            if index < len(UpperCAmelCase					) - 1:
               lowerCamelCase__       :						Dict        =							[lines[index + 1]]
               index += 1
            else:
               lowerCamelCase__       :						Optional[Any]        =							[]
         else:
            blocks.append('''\n'''.join(UpperCAmelCase					)					)
            lowerCamelCase__       :						Optional[int]        =							[lines[index]]
      else:
         current_block.append(lines[index]					)
      index += 1

   # Adds current block if it's nonempty.
   if len(UpperCAmelCase					) > 0:
      blocks.append('''\n'''.join(UpperCAmelCase					)					)

   # Add final block after end_prompt if provided.
   if end_prompt is not None and index < len(UpperCAmelCase					):
      blocks.append('''\n'''.join(lines[index:]					)					)

   return blocks



def 	_a						(   UpperCAmelCase					)    ->    Optional[int]:







   """simple docstring"""

   def _inner(UpperCAmelCase					):
      return key(UpperCAmelCase					).lower().replace('''_'''      ,  ''''''					)

   return _inner



def 	_a						(   UpperCAmelCase      ,  UpperCAmelCase=None					)    ->    List[str]:







   """simple docstring"""

   # If no key is provided, we use a noop.
   def noop(UpperCAmelCase					):
      return x

   if key is None:
      lowerCamelCase__       :						List[str]        =							noop
   # Constants are all uppercase, they go first.
   lowerCamelCase__       :						List[str]        =							[obj for obj in objects if key(UpperCAmelCase					).isupper()]
   # Classes are not all uppercase but start with a capital, they go second.
   lowerCamelCase__       :						int        =							[obj for obj in objects if key(UpperCAmelCase					)[0].isupper() and not key(UpperCAmelCase					).isupper()]
   # Functions begin with a lowercase, they go last.
   lowerCamelCase__       :						Union[str, Any]        =							[obj for obj in objects if not key(UpperCAmelCase					)[0].isupper()]

   lowerCamelCase__       :						str        =							ignore_underscore(UpperCAmelCase					)
   return sorted(UpperCAmelCase      ,  key=UpperCAmelCase					) + sorted(UpperCAmelCase      ,  key=UpperCAmelCase					) + sorted(UpperCAmelCase      ,  key=UpperCAmelCase					)



def 	_a						(   UpperCAmelCase					)    ->    Optional[int]:







   """simple docstring"""

   # This inner function sort imports between [ ].
   def _replace(UpperCAmelCase					):
      lowerCamelCase__       :						Dict        =							match.groups()[0]
      if "," not in imports:
         return f"[{imports}]"
      lowerCamelCase__       :						List[Any]        =							[part.strip().replace('''"'''      ,  ''''''					) for part in imports.split(''','''					)]
      # We will have a final empty element if the line finished with a comma.
      if len(keys[-1]					) == 0:
         lowerCamelCase__       :						Any        =							keys[:-1]
      return "[" + ", ".join([f"\"{k}\"" for k in sort_objects(UpperCAmelCase					)]					) + "]"

   lowerCamelCase__       :						List[str]        =							import_statement.split('''\n'''					)
   if len(UpperCAmelCase					) > 3:
      # Here we have to sort internal imports that are on several lines (one per name):
      # key: [
      #     "object1",
      #     "object2",
      #     ...
      # ]

      # We may have to ignore one or two lines on each side.
      lowerCamelCase__       :						List[str]        =							2 if lines[1].strip() == '''[''' else 1
      lowerCamelCase__       :						Union[str, Any]        =							[(i, _re_strip_line.search(UpperCAmelCase					).groups()[0]) for i, line in enumerate(lines[idx:-idx]					)]
      lowerCamelCase__       :						Union[str, Any]        =							sort_objects(UpperCAmelCase      ,  key=lambda UpperCAmelCase					: x[1]					)
      lowerCamelCase__       :						List[Any]        =							[lines[x[0] + idx] for x in sorted_indices]
      return "\n".join(lines[:idx] + sorted_lines + lines[-idx:]					)
   elif len(UpperCAmelCase					) == 3:
      # Here we have to sort internal imports that are on one separate line:
      # key: [
      #     "object1", "object2", ...
      # ]
      if _re_bracket_content.search(lines[1]					) is not None:
         lowerCamelCase__       :						Tuple        =							_re_bracket_content.sub(_replace      ,  lines[1]					)
      else:
         lowerCamelCase__       :						int        =							[part.strip().replace('''"'''      ,  ''''''					) for part in lines[1].split(''','''					)]
         # We will have a final empty element if the line finished with a comma.
         if len(keys[-1]					) == 0:
            lowerCamelCase__       :						Optional[Any]        =							keys[:-1]
         lowerCamelCase__       :						List[Any]        =							get_indent(lines[1]					) + ''', '''.join([f"\"{k}\"" for k in sort_objects(UpperCAmelCase					)]					)
      return "\n".join(UpperCAmelCase					)
   else:
      # Finally we have to deal with imports fitting on one line
      lowerCamelCase__       :						Union[str, Any]        =							_re_bracket_content.sub(_replace      ,  UpperCAmelCase					)
      return import_statement



def 	_a						(   UpperCAmelCase      ,  UpperCAmelCase=True					)    ->    Tuple:







   """simple docstring"""
   with open(UpperCAmelCase      ,  encoding='''utf-8'''					) as f:
      lowerCamelCase__       :						List[str]        =							f.read()

   if "_import_structure" not in code:
      return

   # Blocks of indent level 0
   lowerCamelCase__       :						List[str]        =							split_code_in_indented_blocks(
       UpperCAmelCase      ,  start_prompt='''_import_structure = {'''      ,  end_prompt='''if TYPE_CHECKING:'''					)

   # We ignore block 0 (everything untils start_prompt) and the last block (everything after end_prompt).
   for block_idx in range(1      ,  len(UpperCAmelCase					) - 1					):
      # Check if the block contains some `_import_structure`s thingy to sort.
      lowerCamelCase__       :						List[Any]        =							main_blocks[block_idx]
      lowerCamelCase__       :						List[str]        =							block.split('''\n'''					)

      # Get to the start of the imports.
      lowerCamelCase__       :						int        =							0
      while line_idx < len(UpperCAmelCase					) and "_import_structure" not in block_lines[line_idx]:
         # Skip dummy import blocks
         if "import dummy" in block_lines[line_idx]:
            lowerCamelCase__       :						int        =							len(UpperCAmelCase					)
         else:
            line_idx += 1
      if line_idx >= len(UpperCAmelCase					):
         continue

      # Ignore beginning and last line: they don't contain anything.
      lowerCamelCase__       :						List[str]        =							'''\n'''.join(block_lines[line_idx:-1]					)
      lowerCamelCase__       :						Dict        =							get_indent(block_lines[1]					)
      # Slit the internal block into blocks of indent level 1.
      lowerCamelCase__       :						List[str]        =							split_code_in_indented_blocks(UpperCAmelCase      ,  indent_level=UpperCAmelCase					)
      # We have two categories of import key: list or _import_structure[key].append/extend
      lowerCamelCase__       :						Optional[Any]        =							_re_direct_key if '''_import_structure = {''' in block_lines[0] else _re_indirect_key
      # Grab the keys, but there is a trap: some lines are empty or just comments.
      lowerCamelCase__       :						List[Any]        =							[(pattern.search(UpperCAmelCase					).groups()[0] if pattern.search(UpperCAmelCase					) is not None else None) for b in internal_blocks]
      # We only sort the lines with a key.
      lowerCamelCase__       :						Optional[int]        =							[(i, key) for i, key in enumerate(UpperCAmelCase					) if key is not None]
      lowerCamelCase__       :						int        =							[x[0] for x in sorted(UpperCAmelCase      ,  key=lambda UpperCAmelCase					: x[1]					)]

      # We reorder the blocks by leaving empty lines/comments as they were and reorder the rest.
      lowerCamelCase__       :						Union[str, Any]        =							0
      lowerCamelCase__       :						List[Any]        =							[]
      for i in range(len(UpperCAmelCase					)					):
         if keys[i] is None:
            reorderded_blocks.append(internal_blocks[i]					)
         else:
            lowerCamelCase__       :						Union[str, Any]        =							sort_objects_in_import(internal_blocks[sorted_indices[count]]					)
            reorderded_blocks.append(UpperCAmelCase					)
            count += 1

        # And we put our main block back together with its first and last line.
      lowerCamelCase__       :						List[str]        =							'''\n'''.join(block_lines[:line_idx] + reorderded_blocks + [block_lines[-1]]					)

   if code != "\n".join(UpperCAmelCase					):
      if check_only:
         return True
      else:
         print(f"Overwriting {file}."					)
         with open(UpperCAmelCase      ,  '''w'''      ,  encoding='''utf-8'''					) as f:
            f.write('''\n'''.join(UpperCAmelCase					)					)



def 	_a						(   UpperCAmelCase=True					)    ->    Any:







   """simple docstring"""
   lowerCamelCase__       :						Optional[int]        =							[]
   for root, _, files in os.walk(UpperCAmelCase					):
      if "__init__.py" in files:
         lowerCamelCase__       :						Dict        =							sort_imports(os.path.join(UpperCAmelCase      ,  '''__init__.py'''					)      ,  check_only=UpperCAmelCase					)
         if result:
            lowerCamelCase__       :						Dict        =							[os.path.join(UpperCAmelCase      ,  '''__init__.py'''					)]
   if len(UpperCAmelCase					) > 0:
      raise ValueError(f"Would overwrite {len(UpperCAmelCase					)} files, run `make style`."					)


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

       sort_imports_in_all_inits(check_only=args.check_only)










from math import factorial


class        __SCREAMING_SNAKE_CASE      :







       def __init__(				self					:     List[Any]		, A					:     Dict		, A					:     Any      )       ->Optional[Any]:
          lowerCamelCase__       :						Tuple        =							real
          if isinstance(A		, A      ):
             lowerCamelCase__       :						Optional[int]        =							[1] * rank
          else:
             lowerCamelCase__       :						List[Any]        =							rank







       def __repr__(				self					:     Tuple      )       ->str:
          return (
              F"{self.real}+"
              F"{'+'.join(str(A      )+'E'+str(n+1      )for n,dual in enumerate(self.duals      )      )}"
          )







       def 						__lowerCamelCase   (				self					:     List[Any]      )       ->List[Any]:
          lowerCamelCase__       :						Tuple        =							self.duals.copy()
          while cur[-1] == 0:
             cur.pop(-1      )
          return Dual(self.real		, A      )







       def __add__(				self					:     Union[str, Any]		, A					:     int      )       ->str:
          if not isinstance(A		, A      ):
             return Dual(self.real + other		, self.duals      )
          lowerCamelCase__       :						int        =							self.duals.copy()
          lowerCamelCase__       :						int        =							other.duals.copy()
          if len(A      ) > len(A      ):
             o_dual.extend([1] * (len(A      ) - len(A      ))      )
          elif len(A      ) < len(A      ):
             s_dual.extend([1] * (len(A      ) - len(A      ))      )
          lowerCamelCase__       :						Optional[Any]        =							[]
          for i in range(len(A      )      ):
             new_duals.append(s_dual[i] + o_dual[i]      )
          return Dual(self.real + other.real		, A      )

       _UpperCAmelCase				:  List[Any]			   =   __add__







       def __sub__(				self					:     Any		, A					:     Dict      )       ->int:
          return self + other * -1







       def __mul__(				self					:     Optional[Any]		, A					:     List[Any]      )       ->Union[str, Any]:
          if not isinstance(A		, A      ):
             lowerCamelCase__       :						Optional[int]        =							[]
             for i in self.duals:
                new_duals.append(i * other      )
             return Dual(self.real * other		, A      )
          lowerCamelCase__       :						Tuple        =							[0] * (len(self.duals      ) + len(other.duals      ) + 1)
          for i, item in enumerate(self.duals      ):
             for j, jtem in enumerate(other.duals      ):
                new_duals[i + j + 1] += item * jtem
          for k in range(len(self.duals      )      ):
             new_duals[k] += self.duals[k] * other.real
          for index in range(len(other.duals      )      ):
             new_duals[index] += other.duals[index] * self.real
          return Dual(self.real * other.real		, A      )

       _UpperCAmelCase				:  Optional[Any]			   =   __mul__







       def __truediv__(				self					:     int		, A					:     List[Any]      )       ->Dict:
          if not isinstance(A		, A      ):
             lowerCamelCase__       :						Tuple        =							[]
             for i in self.duals:
                new_duals.append(i / other      )
             return Dual(self.real / other		, A      )
          raise ValueError







       def __floordiv__(				self					:     Dict		, A					:     Union[str, Any]      )       ->Union[str, Any]:
          if not isinstance(A		, A      ):
             lowerCamelCase__       :						Tuple        =							[]
             for i in self.duals:
                new_duals.append(i // other      )
             return Dual(self.real // other		, A      )
          raise ValueError







       def __pow__(				self					:     Any		, A					:     List[Any]      )       ->Tuple:
          if n < 0 or isinstance(A		, A      ):
             raise ValueError('''power must be a positive integer'''      )
          if n == 0:
             return 1
          if n == 1:
             return self
          lowerCamelCase__       :						Union[str, Any]        =							self
          for _ in range(n - 1      ):
             x *= self
          return x



def 	_a						(   UpperCAmelCase      ,  UpperCAmelCase      ,  UpperCAmelCase					)    ->    Dict:







   """simple docstring"""
   if not callable(UpperCAmelCase					):
      raise ValueError('''differentiate() requires a function as input for func'''					)
   if not isinstance(UpperCAmelCase      ,  (float, int)					):
      raise ValueError('''differentiate() requires a float as input for position'''					)
   if not isinstance(UpperCAmelCase      ,  UpperCAmelCase					):
      raise ValueError('''differentiate() requires an int as input for order'''					)
   lowerCamelCase__       :						List[str]        =							Dual(UpperCAmelCase      ,  1					)
   lowerCamelCase__       :						Any        =							func(UpperCAmelCase					)
   if order == 0:
      return result.real
   return result.duals[order - 1] * factorial(UpperCAmelCase					)


if __name__ == "__main__":
       import doctest

       doctest.testmod()



       def 	_a						(   UpperCAmelCase					)    ->    int:







          """simple docstring"""
          return y**2 * y**4




       print(differentiate(f, 9, 2))



