

'''simple docstring'''





def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							int = 5_0      )			->      int:




				'''simple docstring'''





				A__        =			[1] * (length + 1)

				for row_length in range(length + 1      ):
								for tile_length in range(2	,       5      ):
												for tile_start in range(row_length - tile_length + 1      ):
																ways_number[row_length] += ways_number[
																    row_length - tile_start - tile_length
																]

				return ways_number[length]


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




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


lowerCAmelCase__	   = """src/transformers"""


# Matches is_xxx_available()
lowerCAmelCase__	   = re.compile(R"""is\_([a-z_]*)_available()""")
# Catches a one-line _import_struct = {xxx}
lowerCAmelCase__	   = re.compile(R"""^_import_structure\s+=\s+\{([^\}]+)\}""")
# Catches a line with a key-values pattern: "bla": ["foo", "bar"]
lowerCAmelCase__	   = re.compile(R"""\s+\"\S*\":\s+\[([^\]]*)\]""")
# Catches a line if not is_foo_available
lowerCAmelCase__	   = re.compile(R"""^\s*if\s+not\s+is\_[a-z_]*\_available\(\)""")
# Catches a line _import_struct["bla"].append("foo")
lowerCAmelCase__	   = re.compile(R"""^\s*_import_structure\[\"\S*\"\]\.append\(\"(\S*)\"\)""")
# Catches a line _import_struct["bla"].extend(["foo", "bar"]) or _import_struct["bla"] = ["foo", "bar"]
lowerCAmelCase__	   = re.compile(R"""^\s*_import_structure\[\S*\](?:\.extend\(|\s*=\s+)\[([^\]]*)\]""")
# Catches a line with an object between quotes and a comma:     "MyModel",
lowerCAmelCase__	   = re.compile("""^\s+\"([^\"]+)\",""")
# Catches a line with objects between brackets only:    ["foo", "bar"],
lowerCAmelCase__	   = re.compile("""^\s+\[([^\]]+)\]""")
# Catches a line with from foo import bar, bla, boo
lowerCAmelCase__	   = re.compile(R"""\s+from\s+\S*\s+import\s+([^\(\s].*)\n""")
# Catches a line with try:
lowerCAmelCase__	   = re.compile(R"""^\s*try:""")
# Catches a line with else:
lowerCAmelCase__	   = re.compile(R"""^\s*else:""")



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							Any      )			->      int:




				'''simple docstring'''





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



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							Union[str, Any]      )			->      Optional[Any]:




				'''simple docstring'''





				with open(SCREAMING_SNAKE_CASE_	,       "r"	,       encoding="utf-8"	,       newline="\n"      ) as f:
								A__        =			f.readlines()

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

				# If this is a traditional init, just return.
				if line_index >= len(SCREAMING_SNAKE_CASE_      ):
								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(SCREAMING_SNAKE_CASE_      ):
												A__        =			_re_one_line_import_struct.search(SCREAMING_SNAKE_CASE_      ).groups()[0]
												A__        =			re.findall("\[([^\]]+)\]"	,       SCREAMING_SNAKE_CASE_      )
												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(SCREAMING_SNAKE_CASE_      )
								if single_line_import_search is not None:
												A__        =			[obj[1:-1] for obj in single_line_import_search.groups()[0].split(", "      ) if len(SCREAMING_SNAKE_CASE_      ) > 0]
												objects.extend(SCREAMING_SNAKE_CASE_      )
								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(SCREAMING_SNAKE_CASE_      ) is not None:
																				objects.append(_re_import_struct_add_one.search(SCREAMING_SNAKE_CASE_      ).groups()[0]      )
																elif _re_import_struct_add_many.search(SCREAMING_SNAKE_CASE_      ) is not None:
																				A__        =			_re_import_struct_add_many.search(SCREAMING_SNAKE_CASE_      ).groups()[0].split(", "      )
																				A__        =			[obj[1:-1] for obj in imports if len(SCREAMING_SNAKE_CASE_      ) > 0]
																				objects.extend(SCREAMING_SNAKE_CASE_      )
																elif _re_between_brackets.search(SCREAMING_SNAKE_CASE_      ) is not None:
																				A__        =			_re_between_brackets.search(SCREAMING_SNAKE_CASE_      ).groups()[0].split(", "      )
																				A__        =			[obj[1:-1] for obj in imports if len(SCREAMING_SNAKE_CASE_      ) > 0]
																				objects.extend(SCREAMING_SNAKE_CASE_      )
																elif _re_quote_object.search(SCREAMING_SNAKE_CASE_      ) is not None:
																				objects.append(_re_quote_object.search(SCREAMING_SNAKE_CASE_      ).groups()[0]      )
																elif line.startswith(" " * 8 + "\""      ):
																				objects.append(line[9:-3]      )
																elif line.startswith(" " * 1_2 + "\""      ):
																				objects.append(line[1_3:-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(SCREAMING_SNAKE_CASE_      )
				    and find_backend(lines[line_index]      ) is None
				    and not lines[line_index].startswith("else"      )
				):
								A__        =			lines[line_index]
								A__        =			_re_import.search(SCREAMING_SNAKE_CASE_      )
								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(SCREAMING_SNAKE_CASE_      ):
								# 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(SCREAMING_SNAKE_CASE_      )
																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 import_dict_objects, type_hint_objects



def 					lowerCAmelCase__							(	SCREAMING_SNAKE_CASE_:							Dict	,       SCREAMING_SNAKE_CASE_:							List[Any]      )			->      Optional[int]:




				'''simple docstring'''





				def find_duplicates(SCREAMING_SNAKE_CASE_:							str      ):
								return [k for k, v in collections.Counter(SCREAMING_SNAKE_CASE_      ).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 					lowerCAmelCase__							(	)			->      Dict:




				'''simple docstring'''





				A__        =			[]
				for root, _, files in os.walk(SCREAMING_SNAKE_CASE_      ):
								if "__init__.py" in files:
												A__        =			os.path.join(SCREAMING_SNAKE_CASE_	,       "__init__.py"      )
												A__        =			parse_init(SCREAMING_SNAKE_CASE_      )
												if objects is not None:
																A__        =			analyze_results(*SCREAMING_SNAKE_CASE_      )
																if len(SCREAMING_SNAKE_CASE_      ) > 0:
																				A__        =			F'Problem in {fname}, both halves do not define the same objects.\n{errors[0]}'
																				failures.append("\n".join(SCREAMING_SNAKE_CASE_      )      )
				if len(SCREAMING_SNAKE_CASE_      ) > 0:
								raise ValueError("\n\n".join(SCREAMING_SNAKE_CASE_      )      )



def 					lowerCAmelCase__							(	)			->      Optional[Any]:




				'''simple docstring'''





				A__        =			[]
				for path, directories, files in os.walk(SCREAMING_SNAKE_CASE_      ):
								for folder in directories:
												# Ignore private modules
												if folder.startswith("_"      ):
																directories.remove(SCREAMING_SNAKE_CASE_      )
																continue
												# Ignore leftovers from branches (empty folders apart from pycache)
												if len(list((Path(SCREAMING_SNAKE_CASE_      ) / folder).glob("*.py"      )      )      ) == 0:
																continue
												A__        =			str((Path(SCREAMING_SNAKE_CASE_      ) / folder).relative_to(SCREAMING_SNAKE_CASE_      )      )
												A__        =			short_path.replace(os.path.sep	,       "."      )
												submodules.append(SCREAMING_SNAKE_CASE_      )
								for fname in files:
												if fname == "__init__.py":
																continue
												A__        =			str((Path(SCREAMING_SNAKE_CASE_      ) / fname).relative_to(SCREAMING_SNAKE_CASE_      )      )
												A__        =			short_path.replace(".py"	,       ""      ).replace(os.path.sep	,       "."      )
												if len(submodule.split("."      )      ) == 1:
																submodules.append(SCREAMING_SNAKE_CASE_      )
				return submodules


lowerCAmelCase__	   = [
    """convert_pytorch_checkpoint_to_tf2""",
    """modeling_flax_pytorch_utils""",
]



def 					lowerCAmelCase__							(	)			->      Optional[int]:




				'''simple docstring'''





				A__        =			importlib.util.spec_from_file_location(
				    "transformers"	,       os.path.join(SCREAMING_SNAKE_CASE_	,       "__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(SCREAMING_SNAKE_CASE_      ) > 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()

