



import argparse
import os
import re


_lowercase  				=    '''src/diffusers'''

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






def   _A					(UpperCamelCase		:   List[str]			)	->List[Any]:



			'''simple docstring'''







			lowerCamelCase__			:   Union[str, Any]										=		_re_indent.search(UpperCamelCase			)
			return "" if search is None else search.groups()[0]






def   _A					(UpperCamelCase		:   Dict   ,      UpperCamelCase		:   List[str]=""   ,      UpperCamelCase		:   int=None   ,      UpperCamelCase		:   int=None			)	->Dict:



			'''simple docstring'''







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

			# We split into blocks until we get to the `end_prompt` (or the end of the block).
			lowerCamelCase__			:   List[str]										=		[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__			:   str										=		[lines[index + 1]]
															index += 1
												else:
															lowerCamelCase__			:   Optional[Any]										=		[]
									else:
												blocks.append("""\n""".join(UpperCamelCase			)			)
												lowerCamelCase__			:   Any										=		[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		:   Union[str, Any]			)	->Tuple:



			'''simple docstring'''







			def _inner(UpperCamelCase		:   Dict			):
						return key(UpperCamelCase			).lower().replace("""_"""   ,      """"""			)

			return _inner






def   _A					(UpperCamelCase		:   Any   ,      UpperCamelCase		:   Any=None			)	->List[str]:



			'''simple docstring'''







			def noop(UpperCamelCase		:   List[str]			):
						return x

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

			lowerCamelCase__			:   int										=		ignore_underscore(UpperCamelCase			)
			return sorted(UpperCamelCase   ,      key=UpperCamelCase			) + sorted(UpperCamelCase   ,      key=UpperCamelCase			) + sorted(UpperCamelCase   ,      key=UpperCamelCase			)






def   _A					(UpperCamelCase		:   Any			)	->Tuple:



			'''simple docstring'''







			def _replace(UpperCamelCase		:   List[Any]			):
						lowerCamelCase__			:   List[Any]										=		match.groups()[0]
						if "," not in imports:
									return f"[{imports}]"
						lowerCamelCase__			:   str										=		[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__			:   List[Any]										=		keys[:-1]
						return "[" + ", ".join([f"\"{k}\"" for k in sort_objects(UpperCamelCase			)]			) + "]"

			lowerCamelCase__			:   Any										=		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__			:   Dict										=		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__			:   List[str]										=		sort_objects(UpperCamelCase   ,      key=lambda UpperCamelCase			: x[1]			)
						lowerCamelCase__			:   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__			:   int										=		_re_bracket_content.sub(_replace   ,      lines[1]			)
						else:
									lowerCamelCase__			:   Optional[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__			:   List[str]										=		keys[:-1]
									lowerCamelCase__			:   List[str]										=		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__			:   Tuple										=		_re_bracket_content.sub(_replace   ,      UpperCamelCase			)
						return import_statement






def   _A					(UpperCamelCase		:   Optional[int]   ,      UpperCamelCase		:   str=True			)	->List[str]:



			'''simple docstring'''







			with open(UpperCamelCase   ,      """r"""			) as f:
						lowerCamelCase__			:   List[str]										=		f.read()

			if "_import_structure" not in code:
						return

			# Blocks of indent level 0
			lowerCamelCase__			:   Tuple										=		split_code_in_indented_blocks(
			    UpperCamelCase   ,      start_prompt="""_import_structure = {"""   ,      end_prompt="""if TYPE_CHECKING:"""			)

			# We ignore block 0 (everything until 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__			:   Union[str, Any]										=		main_blocks[block_idx]
						lowerCamelCase__			:   Union[str, Any]										=		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__			:   Tuple										=		len(UpperCamelCase			)
									else:
												line_idx += 1
						if line_idx >= len(UpperCamelCase			):
									continue

						# Ignore beginning and last line: they don't contain anything.
						lowerCamelCase__			:   Tuple										=		"""\n""".join(block_lines[line_idx:-1]			)
						lowerCamelCase__			:   Optional[Any]										=		get_indent(block_lines[1]			)
						# Slit the internal block into blocks of indent level 1.
						lowerCamelCase__			:   Optional[int]										=		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__			:   int										=		[(i, key) for i, key in enumerate(UpperCamelCase			) if key is not None]
						lowerCamelCase__			:   List[str]										=		[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__			:   List[Any]										=		0
						lowerCamelCase__			:   str										=		[]
						for i in range(len(UpperCamelCase			)			):
									if keys[i] is None:
												reordered_blocks.append(internal_blocks[i]			)
									else:
												lowerCamelCase__			:   List[str]										=		sort_objects_in_import(internal_blocks[sorted_indices[count]]			)
												reordered_blocks.append(UpperCamelCase			)
												count += 1

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

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






def   _A					(UpperCamelCase		:   List[Any]=True			)	->Tuple:



			'''simple docstring'''







			lowerCamelCase__			:   List[str]										=		[]
			for root, _, files in os.walk(UpperCamelCase			):
						if "__init__.py" in files:
									lowerCamelCase__			:   str										=		sort_imports(os.path.join(UpperCamelCase   ,      """__init__.py"""			)   ,      check_only=UpperCamelCase			)
									if result:
												lowerCamelCase__			:   Tuple										=		[os.path.join(UpperCamelCase   ,      """__init__.py"""			)]
			if len(UpperCamelCase			) > 0:
						raise ValueError(f"Would overwrite {len(UpperCamelCase			)} files, run `make style`."			)


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

				sort_imports_in_all_inits(check_only=args.check_only)










from __future__ import annotations

from math import gcd





def  __magic_name__  (				lowercase				,       lowercase = 2				,       lowercase = 1				,       lowercase = 3				,       )				-> int | None:

							"""simple docstring"""



							if num < 2:
														raise ValueError("""The input value cannot be less than 2"""				)

							# Because of the relationship between ``f(f(x))`` and ``f(x)``, this
							# algorithm struggles to find factors that are divisible by two.
							# As a workaround, we specifically check for two and even inputs.
							#   See: https://math.stackexchange.com/a/2856214/165820
							if num > 2 and num % 2 == 0:
														return 2

							# Pollard's Rho algorithm requires a function that returns pseudorandom
							# values between 0 <= X < ``num``.  It doesn't need to be random in the
							# sense that the output value is cryptographically secure or difficult
							# to calculate, it only needs to be random in the sense that all output
							# values should be equally likely to appear.
							# For this reason, Pollard suggested using ``f(x) = (x**2 - 1) % num``
							# However, the success of Pollard's algorithm isn't guaranteed and is
							# determined in part by the initial seed and the chosen random function.
							# To make retries easier, we will instead use ``f(x) = (x**2 + C) % num``
							# where ``C`` is a value that we can modify between each attempt.
							def rand_fn(lowercase				,       lowercase				,       lowercase				) -> int:
														return (pow(lowercase				,       2				) + step) % modulus

							for _ in range(lowercase				):
														# These track the position within the cycle detection logic.
														lowercase_	:   List[Any]  				=     seed
														lowercase_	:   Any  				=     seed

														while True:
																					# At each iteration, the tortoise moves one step and the hare moves two.
																					lowercase_	:   List[str]  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)
																					lowercase_	:   str  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)
																					lowercase_	:   Any  				=     rand_fn(lowercase				,       lowercase				,       lowercase				)

																					# At some point both the tortoise and the hare will enter a cycle whose
																					# length ``p`` is a divisor of ``num``.  Once in that cycle, at some point
																					# the tortoise and hare will end up on the same value modulo ``p``.
																					# We can detect when this happens because the position difference between
																					# the tortoise and the hare will share a common divisor with ``num``.
																					lowercase_	:   Tuple  				=     gcd(hare - tortoise				,       lowercase				)

																					if divisor == 1:
																												# No common divisor yet, just keep searching.
																												continue
																					else:
																												# We found a common divisor!
																												if divisor == num:
																																			# Unfortunately, the divisor is ``num`` itself and is useless.
																																			break
																												else:
																																			# The divisor is a nontrivial factor of ``num``!
																																			return divisor

        # If we made it here, then this attempt failed.
        # We need to pick a new starting seed for the tortoise and hare
        # in addition to a new step value for the random function.
        # To keep this example implementation deterministic, the
        # new values will be generated based on currently available
        # values instead of using something like ``random.randint``.

        # We can use the hare's position as the new seed.
        # This is actually what Richard Brent's the "optimized" variant does.
														lowercase_	:   int  				=     hare

														# The new step value for the random function can just be incremented.
														# At first the results will be similar to what the old function would
														# have produced, but the value will quickly diverge after a bit.
														step += 1

							# We haven't found a divisor within the requested number of attempts.
							# We were unlucky or ``num`` itself is actually prime.
							return None


if __name__ == "__main__":
							import argparse

							UpperCAmelCase_							=				argparse.ArgumentParser()
							parser.add_argument(
							    """num""",
							    type=int,
							    help="""The value to find a divisor of""",
							)
							parser.add_argument(
							    """--attempts""",
							    type=int,
							    default=3,
							    help="""The number of attempts before giving up""",
							)
							UpperCAmelCase_							=				parser.parse_args()

							UpperCAmelCase_							=				pollard_rho(args.num, attempts=args.attempts)
							if divisor is None:
														print(F'''{args.num} is probably prime''')
							else:
														UpperCAmelCase_							=				args.num // divisor
														print(F'''{args.num} = {divisor} * {quotient}''')