






import collections
import importlib.util
import os
import re
from pathlib import Path


UpperCAmelCase__				   =		"src/transformers"


# Matches is_xxx_available()
UpperCAmelCase__				   =		re.compile(R"is\_([a-z_]*)_available()")
# Catches a one-line _import_struct = {xxx}
UpperCAmelCase__				   =		re.compile(R"^_import_structure\s+=\s+\{([^\}]+)\}")
# Catches a line with a key-values pattern: "bla": ["foo", "bar"]
UpperCAmelCase__				   =		re.compile(R"\s+\"\S*\":\s+\[([^\]]*)\]")
# Catches a line if not is_foo_available
UpperCAmelCase__				   =		re.compile(R"^\s*if\s+not\s+is\_[a-z_]*\_available\(\)")
# Catches a line _import_struct["bla"].append("foo")
UpperCAmelCase__				   =		re.compile(R"^\s*_import_structure\[\"\S*\"\]\.append\(\"(\S*)\"\)")
# Catches a line _import_struct["bla"].extend(["foo", "bar"]) or _import_struct["bla"] = ["foo", "bar"]
UpperCAmelCase__				   =		re.compile(R"^\s*_import_structure\[\S*\](?:\.extend\(|\s*=\s+)\[([^\]]*)\]")
# Catches a line with an object between quotes and a comma:     "MyModel",
UpperCAmelCase__				   =		re.compile("^\s+\"([^\"]+)\",")
# Catches a line with objects between brackets only:    ["foo", "bar"],
UpperCAmelCase__				   =		re.compile("^\s+\[([^\]]+)\]")
# Catches a line with from foo import bar, bla, boo
UpperCAmelCase__				   =		re.compile(R"\s+from\s+\S*\s+import\s+([^\(\s].*)\n")
# Catches a line with try:
UpperCAmelCase__				   =		re.compile(R"^\s*try:")
# Catches a line with else:
UpperCAmelCase__				   =		re.compile(R"^\s*else:")
def 						_a    (      a :Optional[Any] )							->			Dict:
 if _re_test_backend.search(a ) is None:
  return None
 a		  =      [b[0] for b in _re_backend.findall(a )]
 backends.sort()
 return "_and_".join(a )
def 						_a    (      a :int )							->			Union[str, Any]:
 with open(a	,							'''r'''	,							encoding='''utf-8'''	,							newline='''\n''' ) as f:
  a		  =      f.readlines()

 a		  =      0
 while line_index < len(a ) and not lines[line_index].startswith('''_import_structure = {''' ):
  line_index += 1

 # If this is a traditional init, just return.
 if line_index >= len(a ):
  return None

 # First grab the objects without a specific backend in _import_structure
 a		  =      []
 while not lines[line_index].startswith('''if TYPE_CHECKING''' ) and find_backend(lines[line_index] ) is None:
  a		  =      lines[line_index]
  # If we have everything on a single line, let's deal with it.
  if _re_one_line_import_struct.search(a ):
   a		  =      _re_one_line_import_struct.search(a ).groups()[0]
   a		  =      re.findall('''\[([^\]]+)\]'''	,							a )
   for imp in imports:
    objects.extend([obj[1:-1] for obj in imp.split(''', ''' )] )
   line_index += 1
   continue
  a		  =      _re_import_struct_key_value.search(a )
  if single_line_import_search is not None:
   a		  =      [obj[1:-1] for obj in single_line_import_search.groups()[0].split(''', ''' ) if len(a ) > 0]
   objects.extend(a )
  elif line.startswith(''' ''' * 8 + '''"''' ):
   objects.append(line[9:-3] )
  line_index += 1

 a		  =      {'''none''': objects}
 # Let's continue with backend-specific objects in _import_structure
 while not lines[line_index].startswith('''if TYPE_CHECKING''' ):
  # If the line is an if not is_backend_available, we grab all objects associated.
  a		  =      find_backend(lines[line_index] )
  # Check if the backend declaration is inside a try block:
  if _re_try.search(lines[line_index - 1] ) is None:
   a		  =      None

  if backend is not None:
   line_index += 1

   # Scroll until we hit the else block of try-except-else
   while _re_else.search(lines[line_index] ) is None:
    line_index += 1

   line_index += 1

   a		  =      []
   # Until we unindent, add backend objects to the list
   while len(lines[line_index] ) <= 1 or lines[line_index].startswith(''' ''' * 4 ):
    a		  =      lines[line_index]
    if _re_import_struct_add_one.search(a ) is not None:
     objects.append(_re_import_struct_add_one.search(a ).groups()[0] )
    elif _re_import_struct_add_many.search(a ) is not None:
     a		  =      _re_import_struct_add_many.search(a ).groups()[0].split(''', ''' )
     a		  =      [obj[1:-1] for obj in imports if len(a ) > 0]
     objects.extend(a )
    elif _re_between_brackets.search(a ) is not None:
     a		  =      _re_between_brackets.search(a ).groups()[0].split(''', ''' )
     a		  =      [obj[1:-1] for obj in imports if len(a ) > 0]
     objects.extend(a )
    elif _re_quote_object.search(a ) is not None:
     objects.append(_re_quote_object.search(a ).groups()[0] )
    elif line.startswith(''' ''' * 8 + '''"''' ):
     objects.append(line[9:-3] )
    elif line.startswith(''' ''' * 12 + '''"''' ):
     objects.append(line[13:-3] )
    line_index += 1

   a		  =      objects
  else:
   line_index += 1

    # At this stage we are in the TYPE_CHECKING part, first grab the objects without a specific backend
 a		  =      []
 while (
     line_index < len(a )
     and find_backend(lines[line_index] ) is None
     and not lines[line_index].startswith('''else''' )
 ):
  a		  =      lines[line_index]
  a		  =      _re_import.search(a )
  if single_line_import_search is not None:
   objects.extend(single_line_import_search.groups()[0].split(''', ''' ) )
  elif line.startswith(''' ''' * 8 ):
   objects.append(line[8:-2] )
  line_index += 1

 a		  =      {'''none''': objects}
 # Let's continue with backend-specific objects
 while line_index < len(a ):
  # If the line is an if is_backend_available, we grab all objects associated.
  a		  =      find_backend(lines[line_index] )
  # Check if the backend declaration is inside a try block:
  if _re_try.search(lines[line_index - 1] ) is None:
   a		  =      None

  if backend is not None:
   line_index += 1

   # Scroll until we hit the else block of try-except-else
   while _re_else.search(lines[line_index] ) is None:
    line_index += 1

   line_index += 1

   a		  =      []
   # Until we unindent, add backend objects to the list
   while len(lines[line_index] ) <= 1 or lines[line_index].startswith(''' ''' * 8 ):
    a		  =      lines[line_index]
    a		  =      _re_import.search(a )
    if single_line_import_search is not None:
     objects.extend(single_line_import_search.groups()[0].split(''', ''' ) )
    elif line.startswith(''' ''' * 12 ):
     objects.append(line[12:-2] )
    line_index += 1

   a		  =      objects
  else:
   line_index += 1

 return import_dict_objects, type_hint_objects
def 						_a    (      a :str	,							a :Optional[Any] )							->			Tuple:

 def find_duplicates(a :Optional[int] ):
  return [k for k, v in collections.Counter(a ).items() if v > 1]

 if list(import_dict_objects.keys() ) != list(type_hint_objects.keys() ):
  return ["Both sides of the init do not have the same backends!"]

 a		  =      []
 for key in import_dict_objects.keys():
  a		  =      find_duplicates(import_dict_objects[key] )
  if duplicate_imports:
   errors.append(F"""Duplicate _import_structure definitions for: {duplicate_imports}""" )
  a		  =      find_duplicates(type_hint_objects[key] )
  if duplicate_type_hints:
   errors.append(F"""Duplicate TYPE_CHECKING objects for: {duplicate_type_hints}""" )

  if sorted(set(import_dict_objects[key] ) ) != sorted(set(type_hint_objects[key] ) ):
   a		  =      '''base imports''' if key == '''none''' else F"""{key} backend"""
   errors.append(F"""Differences for {name}:""" )
   for a in type_hint_objects[key]:
    if a not in import_dict_objects[key]:
     errors.append(F"""  {a} in TYPE_HINT but not in _import_structure.""" )
   for a in import_dict_objects[key]:
    if a not in type_hint_objects[key]:
     errors.append(F"""  {a} in _import_structure but not in TYPE_HINT.""" )
 return errors
def 						_a    (      )							->			Any:
 a		  =      []
 for root, _, files in os.walk(a ):
  if "__init__.py" in files:
   a		  =      os.path.join(a	,							'''__init__.py''' )
   a		  =      parse_init(a )
   if objects is not None:
    a		  =      analyze_results(*a )
    if len(a ) > 0:
     a		  =      F"""Problem in {fname}, both halves do not define the same objects.\n{errors[0]}"""
     failures.append('''\n'''.join(a ) )
 if len(a ) > 0:
  raise ValueError('''\n\n'''.join(a ) )
def 						_a    (      )							->			int:
 a		  =      []
 for path, directories, files in os.walk(a ):
  for folder in directories:
   # Ignore private modules
   if folder.startswith('''_''' ):
    directories.remove(a )
    continue
   # Ignore leftovers from branches (empty folders apart from pycache)
   if len(list((Path(a ) / folder).glob('''*.py''' ) ) ) == 0:
    continue
   a		  =      str((Path(a ) / folder).relative_to(a ) )
   a		  =      short_path.replace(os.path.sep	,							'''.''' )
   submodules.append(a )
  for fname in files:
   if fname == "__init__.py":
    continue
   a		  =      str((Path(a ) / fname).relative_to(a ) )
   a		  =      short_path.replace('''.py'''	,							'''''' ).replace(os.path.sep	,							'''.''' )
   if len(submodule.split('''.''' ) ) == 1:
    submodules.append(a )
 return submodules


UpperCAmelCase__				   =		[
    "convert_pytorch_checkpoint_to_tf2",
    "modeling_flax_pytorch_utils",
]
def 						_a    (      )							->			Any:
 # This is to make sure the transformers module imported is the one in the repo.
 a		  =      importlib.util.spec_from_file_location(
     '''transformers'''	,							os.path.join(a	,							'''__init__.py''' )	,							submodule_search_locations=[PATH_TO_TRANSFORMERS]	,							)
 a		  =      spec.loader.load_module()

 a		  =      [
     module
     for module in get_transformers_submodules()
     if module not in IGNORE_SUBMODULES and module not in transformers._import_structure.keys()
 ]
 if len(a ) > 0:
  a		  =      '''\n'''.join(F"""- {module}""" for module in module_not_registered )
  raise ValueError(
      '''The following submodules are not properly registered in the main init of Transformers:\n'''
      F"""{list_of_modules}\n"""
      '''Make sure they appear somewhere in the keys of `_import_structure` with an empty list as value.''' )


if __name__ == "__main__":
     check_all_inits()
     check_submodules()










from math import factorial

UpperCAmelCase__				   =		{str(digit): factorial(digit) for digit in range(10)}
def 						_a    (      a :int )							->			int:
 if not isinstance(a	,							a ):
  raise TypeError('''Parameter number must be int''' )

 if number < 0:
  raise ValueError('''Parameter number must be greater than or equal to 0''' )

 # Converts number in string to iterate on its digits and adds its factorial.
 return sum(DIGIT_FACTORIAL[digit] for digit in str(a ) )
def 						_a    (      a :int = 60	,							a :int = 1_000_000 )							->			int:

 if not isinstance(a	,							a ) or not isinstance(a	,							a ):
  raise TypeError('''Parameters chain_length and number_limit must be int''' )

 if chain_length <= 0 or number_limit <= 0:
  raise ValueError(
      '''Parameters chain_length and number_limit must be greater than 0''' )

 # the counter for the chains with the exact desired length
 a		  =      0
 # the cached sizes of the previous chains
 a		  =      {}

 for start_chain_element in range(1	,							a ):
  # The temporary set will contain the elements of the chain
  a		  =      set()
  a		  =      0

  # Stop computing the chain when you find a cached size, a repeating item or the
  # length is greater then the desired one.
  a		  =      start_chain_element
  while (
      chain_element not in chain_sets_lengths
      and chain_element not in chain_set
      and chain_set_length <= chain_length
  ):
   chain_set.add(a )
   chain_set_length += 1
   a		  =      digit_factorial_sum(a )

  if chain_element in chain_sets_lengths:
   chain_set_length += chain_sets_lengths[chain_element]

  a		  =      chain_set_length

  # If chain contains the exact amount of elements increase the counter
  if chain_set_length == chain_length:
   chains_counter += 1

 return chains_counter


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     print(f"""{solution()}""")


