


"""simple docstring"""


import argparse
import os
import re


# All paths are set with the intent you should run this script from the root of the repo with the command
# python utils/check_dummies.py
lowercase_    					=					"src/transformers"

# Matches is_xxx_available()
lowercase_    					=					re.compile(R'is\_([a-z_]*)_available()')
# Matches from xxx import bla
lowercase_    					=					re.compile(R'\s+from\s+\S*\s+import\s+([^\(\s].*)\n')
lowercase_    					=					re.compile(R'^\s+if\s+not\s+\(?is\_[a-z_]*\_available\(\)')


lowercase_    					=					"\n{0} = None\n"

lowercase_    					=					"\nclass {0}(metaclass=DummyObject):\n    _backends = {1}\n\n    def __init__(self, *args, **kwargs):\n        requires_backends(self, {1})\n"


lowercase_    					=					"\ndef {0}(*args, **kwargs):\n    requires_backends({0}, {1})\n"



def  lowerCAmelCase    (   __UpperCamelCase			):




  """simple docstring"""







  if _re_test_backend.search(UpperCamelCase_			) is None:
    return None
  __A						      =			[b[0] for b in _re_backend.findall(UpperCamelCase_			)]
  backends.sort()
  return "_and_".join(UpperCamelCase_			)



def  lowerCAmelCase    (   ):




  """simple docstring"""







  with open(os.path.join(UpperCamelCase_		,	'''__init__.py'''			)		,	'''r'''		,	encoding='''utf-8'''		,	newline='''\n'''			) as f:
    __A						      =			f.readlines()

  # Get to the point we do the actual imports for type checking
  __A						      =			0
  while not lines[line_index].startswith('''if TYPE_CHECKING'''			):
    line_index += 1

  __A						      =			{}
  # Go through the end of the file
  while line_index < len(UpperCamelCase_			):
    # If the line is an if is_backend_available, we grab all objects associated.
    __A						      =			find_backend(lines[line_index]			)
    if backend is not None:
      while not lines[line_index].startswith('''    else:'''			):
        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_single_line_import.search(UpperCamelCase_			)
        if single_line_import_search is not None:
          objects.extend(single_line_import_search.groups()[0].split(''', '''			)			)
        elif line.startswith(''' ''' * 1_2			):
          objects.append(line[1_2:-2]			)
        line_index += 1

      __A						      =			objects
    else:
      line_index += 1

  return backend_specific_objects



def  lowerCAmelCase    (   __UpperCamelCase		,	__UpperCamelCase			):




  """simple docstring"""







  if name.isupper():
    return DUMMY_CONSTANT.format(UpperCamelCase_			)
  elif name.islower():
    return DUMMY_FUNCTION.format(UpperCamelCase_		,	UpperCamelCase_			)
  else:
    return DUMMY_CLASS.format(UpperCamelCase_		,	UpperCamelCase_			)



def  lowerCAmelCase    (   __UpperCamelCase=None			):




  """simple docstring"""







  if backend_specific_objects is None:
    __A						      =			read_init()
  # For special correspondence backend to module name as used in the function requires_modulename
  __A						      =			{}

  for backend, objects in backend_specific_objects.items():
    __A						      =			'''[''' + ''', '''.join(f'\"{b}\"' for b in backend.split('''_and_'''			)			) + ''']'''
    __A						      =			'''# This file is autogenerated by the command `make fix-copies`, do not edit.\n'''
    dummy_file += "from ..utils import DummyObject, requires_backends\n\n"
    dummy_file += "\n".join([create_dummy_object(UpperCamelCase_		,	UpperCamelCase_			) for o in objects]			)
    __A						      =			dummy_file

  return dummy_files



def  lowerCAmelCase    (   __UpperCamelCase=False			):




  """simple docstring"""







  __A						      =			create_dummy_files()
  # For special correspondence backend to shortcut as used in utils/dummy_xxx_objects.py
  __A						      =			{'''torch''': '''pt'''}

  # Locate actual dummy modules and read their content.
  __A						      =			os.path.join(UpperCamelCase_		,	'''utils'''			)
  __A						      =			{
      backend: os.path.join(UpperCamelCase_		,	f'dummy_{short_names.get(UpperCamelCase_		,	UpperCamelCase_			)}_objects.py'			)
      for backend in dummy_files.keys()
  }

  __A						      =			{}
  for backend, file_path in dummy_file_paths.items():
    if os.path.isfile(UpperCamelCase_			):
      with open(UpperCamelCase_		,	'''r'''		,	encoding='''utf-8'''		,	newline='''\n'''			) as f:
        __A						      =			f.read()
    else:
      __A						      =			''''''

  for backend in dummy_files.keys():
    if dummy_files[backend] != actual_dummies[backend]:
      if overwrite:
        print(
            f'Updating transformers.utils.dummy_{short_names.get(UpperCamelCase_		,	UpperCamelCase_			)}_objects.py as the main '
            '''__init__ has new objects.'''			)
        with open(dummy_file_paths[backend]		,	'''w'''		,	encoding='''utf-8'''		,	newline='''\n'''			) as f:
          f.write(dummy_files[backend]			)
      else:
        raise ValueError(
            '''The main __init__ has objects that are not present in '''
            f'transformers.utils.dummy_{short_names.get(UpperCamelCase_		,	UpperCamelCase_			)}_objects.py. Run `make fix-copies` '
            '''to fix this.'''			)


if __name__ == "__main__":
       lowercase_    					=					argparse.ArgumentParser()
       parser.add_argument('--fix_and_overwrite', action='store_true', help='Whether to fix inconsistencies.')
       lowercase_    					=					parser.parse_args()

       check_dummies(args.fix_and_overwrite)












"""simple docstring"""


from itertools import product



def  lowerCAmelCase    (   __UpperCamelCase = 1_5			):




  """simple docstring"""







  __A						      =			0.0
  __A						      =			42
  __A						      =			42
  __A						      =			42
  __A						      =			42
  __A						      =			42
  __A						      =			42

  for series in product(range(2			)		,	repeat=__UpperCamelCase			):
    __A						      =			series.count(1			)
    __A						      =			num_turns - num_blue
    if num_red >= num_blue:
      continue
    __A						      =			1.0
    for ind, col in enumerate(__UpperCamelCase		,	2			):
      if col == 0:
        prob *= (ind - 1) / ind
      else:
        prob *= 1 / ind

    total_prob += prob

  return int(1 / total_prob			)


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




