



import argparse
import os
import re


a__			=		"""src/transformers"""

# Pattern that looks at the indentation in a line.
a__			=		re.compile(R"""^(\s*)\S""")
# Pattern that matches `"key":" and puts `key` in group 0.
a__			=		re.compile(R"""^\s*\"([^\"]+)\":""")
# Pattern that matches `_import_structure["key"]` and puts `key` in group 0.
a__			=		re.compile(R"""^\s*_import_structure\[\"([^\"]+)\"\]""")
# Pattern that matches `"key",` and puts `key` in group 0.
a__			=		re.compile(R"""^\s*\"([^\"]+)\",\s*$""")
# Pattern that matches any `[stuff]` and puts `stuff` in group 0.
a__			=		re.compile(R"""\[([^\]]+)\]""")



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		Tuple )     ->   List[Any]:
 _snake_case			:     Optional[Any] 		=    _re_indent.search(SCREAMING_SNAKE_CASE__ )
 return "" if search is None else search.groups()[0]



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		List[str] ,				SCREAMING_SNAKE_CASE__				:		Dict="" ,				SCREAMING_SNAKE_CASE__				:		str=None ,				SCREAMING_SNAKE_CASE__				:		Optional[Any]=None )     ->   Tuple:
 _snake_case			:     str 		=    0
 _snake_case			:     Optional[Any] 		=    code.split("""\n""" )
 if start_prompt is not None:
  while not lines[index].startswith(SCREAMING_SNAKE_CASE__ ):
   index += 1
  _snake_case			:     Tuple 		=    ['''\n'''.join(lines[:index] )]
 else:
  _snake_case			:     Dict 		=    []

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

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

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

 return blocks



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		Dict )     ->   Union[str, Any]:

 def _inner(SCREAMING_SNAKE_CASE__				:		str ):
  return key(SCREAMING_SNAKE_CASE__ ).lower().replace("""_""" ,				"""""" )

 return _inner



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		int ,				SCREAMING_SNAKE_CASE__				:		int=None )     ->   str:

 # If no key is provided, we use a noop.
 def noop(SCREAMING_SNAKE_CASE__				:		Optional[Any] ):
  return x

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

 _snake_case			:     Union[str, Any] 		=    ignore_underscore(SCREAMING_SNAKE_CASE__ )
 return sorted(SCREAMING_SNAKE_CASE__ ,				key=SCREAMING_SNAKE_CASE__ ) + sorted(SCREAMING_SNAKE_CASE__ ,				key=SCREAMING_SNAKE_CASE__ ) + sorted(SCREAMING_SNAKE_CASE__ ,				key=SCREAMING_SNAKE_CASE__ )



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		Dict )     ->   List[Any]:

 # This inner function sort imports between [ ].
 def _replace(SCREAMING_SNAKE_CASE__				:		Any ):
  _snake_case			:     List[Any] 		=    match.groups()[0]
  if "," not in imports:
   return F'''[{imports}]'''
  _snake_case			:     Optional[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:
   _snake_case			:     List[str] 		=    keys[:-1]
  return "[" + ", ".join([F'''"{k}"''' for k in sort_objects(SCREAMING_SNAKE_CASE__ )] ) + "]"

 _snake_case			:     Dict 		=    import_statement.split("""\n""" )
 if len(SCREAMING_SNAKE_CASE__ ) > 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.
  _snake_case			:     Dict 		=    2 if lines[1].strip() == '''[''' else 1
  _snake_case			:     Tuple 		=    [(i, _re_strip_line.search(SCREAMING_SNAKE_CASE__ ).groups()[0]) for i, line in enumerate(lines[idx:-idx] )]
  _snake_case			:     Tuple 		=    sort_objects(SCREAMING_SNAKE_CASE__ ,				key=lambda SCREAMING_SNAKE_CASE__ : x[1] )
  _snake_case			:     str 		=    [lines[x[0] + idx] for x in sorted_indices]
  return "\n".join(lines[:idx] + sorted_lines + lines[-idx:] )
 elif len(SCREAMING_SNAKE_CASE__ ) == 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:
   _snake_case			:     Tuple 		=    _re_bracket_content.sub(_replace ,				lines[1] )
  else:
   _snake_case			:     Optional[Any] 		=    [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:
    _snake_case			:     str 		=    keys[:-1]
   _snake_case			:     Dict 		=    get_indent(lines[1] ) + ''', '''.join([F'''"{k}"''' for k in sort_objects(SCREAMING_SNAKE_CASE__ )] )
  return "\n".join(SCREAMING_SNAKE_CASE__ )
 else:
  # Finally we have to deal with imports fitting on one line
  _snake_case			:     List[Any] 		=    _re_bracket_content.sub(_replace ,				SCREAMING_SNAKE_CASE__ )
  return import_statement



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		int ,				SCREAMING_SNAKE_CASE__				:		Any=True )     ->   Optional[Any]:
 with open(SCREAMING_SNAKE_CASE__ ,				encoding="""utf-8""" ) as f:
  _snake_case			:     Any 		=    f.read()

 if "_import_structure" not in code:
  return

 # Blocks of indent level 0
 _snake_case			:     int 		=    split_code_in_indented_blocks(
     SCREAMING_SNAKE_CASE__ ,				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(SCREAMING_SNAKE_CASE__ ) - 1 ):
  # Check if the block contains some `_import_structure`s thingy to sort.
  _snake_case			:     Optional[Any] 		=    main_blocks[block_idx]
  _snake_case			:     Any 		=    block.split("""\n""" )

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

  # Ignore beginning and last line: they don't contain anything.
  _snake_case			:     List[str] 		=    '''\n'''.join(block_lines[line_idx:-1] )
  _snake_case			:     Any 		=    get_indent(block_lines[1] )
  # Slit the internal block into blocks of indent level 1.
  _snake_case			:     Union[str, Any] 		=    split_code_in_indented_blocks(SCREAMING_SNAKE_CASE__ ,				indent_level=SCREAMING_SNAKE_CASE__ )
  # We have two categories of import key: list or _import_structure[key].append/extend
  _snake_case			:     Dict 		=    _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.
  _snake_case			:     Union[str, Any] 		=    [(pattern.search(SCREAMING_SNAKE_CASE__ ).groups()[0] if pattern.search(SCREAMING_SNAKE_CASE__ ) is not None else None) for b in internal_blocks]
  # We only sort the lines with a key.
  _snake_case			:     List[Any] 		=    [(i, key) for i, key in enumerate(SCREAMING_SNAKE_CASE__ ) if key is not None]
  _snake_case			:     List[Any] 		=    [x[0] for x in sorted(SCREAMING_SNAKE_CASE__ ,				key=lambda SCREAMING_SNAKE_CASE__ : x[1] )]

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

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

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



def 					lowercase				(      SCREAMING_SNAKE_CASE__				:		Optional[Any]=True )     ->   str:
 _snake_case			:     Optional[Any] 		=    []
 for root, _, files in os.walk(SCREAMING_SNAKE_CASE__ ):
  if "__init__.py" in files:
   _snake_case			:     Any 		=    sort_imports(os.path.join(SCREAMING_SNAKE_CASE__ ,				"""__init__.py""" ) ,				check_only=SCREAMING_SNAKE_CASE__ )
   if result:
    _snake_case			:     Tuple 		=    [os.path.join(SCREAMING_SNAKE_CASE__ ,				"""__init__.py""" )]
 if len(SCREAMING_SNAKE_CASE__ ) > 0:
  raise ValueError(F'''Would overwrite {len(SCREAMING_SNAKE_CASE__ )} files, run `make style`.''' )


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

  sort_imports_in_all_inits(check_only=args.check_only)




from math import isclose, sqrt


def   _SCREAMING_SNAKE_CASE	( SCREAMING_SNAKE_CASE ,			SCREAMING_SNAKE_CASE ,			SCREAMING_SNAKE_CASE       ):
  A_      :				List[str]		     =					point_y / 4 / point_x
  A_      :				Union[str, Any]		     =					2 * normal_gradient / (1 + normal_gradient * normal_gradient)
  A_      :				int		     =					(1 - normal_gradient * normal_gradient) / (
      1 + normal_gradient * normal_gradient
  )
  A_      :				List[str]		     =					(sa - ca * incoming_gradient) / (ca + sa * incoming_gradient)

  # to find the next point, solve the simultaeneous equations:
  # y^2 + 4x^2 = 100
  # y - b = m * (x - a)
  # ==> A x^2 + B x + C = 0
  A_      :				List[str]		     =					outgoing_gradient**2 + 4
  A_      :				List[str]		     =					2 * outgoing_gradient * (point_y - outgoing_gradient * point_x)
  A_      :				Any		     =					(point_y - outgoing_gradient * point_x) ** 2 - 100

  A_      :				str		     =					(
      -linear_term - sqrt(linear_term**2 - 4 * quadratic_term * constant_term       )
  ) / (2 * quadratic_term)
  A_      :				Any		     =					(
      -linear_term + sqrt(linear_term**2 - 4 * quadratic_term * constant_term       )
  ) / (2 * quadratic_term)

  # two solutions, one of which is our input point
  A_      :				int		     =					x_minus if isclose(SCREAMING_SNAKE_CASE ,			SCREAMING_SNAKE_CASE       ) else x_plus
  A_      :				Any		     =					point_y + outgoing_gradient * (next_x - point_x)

  return next_x, next_y, outgoing_gradient


def   _SCREAMING_SNAKE_CASE	( SCREAMING_SNAKE_CASE = 1.4 ,			SCREAMING_SNAKE_CASE = -9.6       ):
  A_      :				int		     =					0
  A_      :				float		     =					first_x_coord
  A_      :				float		     =					first_y_coord
  A_      :				float		     =					(1_0.1 - point_y) / (0.0 - point_x)

  while not (-0.0_1 <= point_x <= 0.0_1 and point_y > 0):
    A_     ,       A_     ,       A_      :				List[str]		     =					next_point(SCREAMING_SNAKE_CASE ,			SCREAMING_SNAKE_CASE ,			SCREAMING_SNAKE_CASE       )
    num_reflections += 1

  return num_reflections


if __name__ == "__main__":
     print(F'''{solution() = }''')




