





"""simple docstring"""






import argparse
from collections import defaultdict

import yaml


__UpperCAmelCase						=			'''docs/source/en/_toctree.yml'''






def      lowercase__ (					lowerCAmelCase__   :			str			)    ->			int:



			'''simple docstring'''
			a__  :	Any		 =			defaultdict(lowerCAmelCase__			)
			for doc in model_doc:
						counts[doc["local"]] += 1
			a__  :	Tuple		 =			[key for key, value in counts.items() if value > 1]

			a__  :	Optional[int]		 =			[]
			for duplicate_key in duplicates:
						a__  :	List[Any]		 =			list({doc["title"] for doc in model_doc if doc["local"] == duplicate_key}			)
						if len(lowerCAmelCase__			) > 1:
									raise ValueError(
									    F"{duplicate_key} is present several times in the documentation table of content at "
									    "`docs/source/en/_toctree.yml` with different *Title* values. Choose one of those and remove the "
									    "others."			)
						# Only add this once
						new_doc.append({"local": duplicate_key, "title": titles[0]}			)

			# Add none duplicate-keys
			new_doc.extend([doc for doc in model_doc if counts[doc["local"]] == 1]			)

			# Sort
			return sorted(lowerCAmelCase__							,			key=lambda lowerCAmelCase__			: s["title"].lower()			)






def      lowercase__ (					lowerCAmelCase__   :			Tuple=False			)    ->			Any:



			'''simple docstring'''
			with open(lowerCAmelCase__							,			encoding="utf-8"			) as f:
						a__  :	Union[str, Any]		 =			yaml.safe_load(f.read()			)

			# Get to the API doc
			a__  :	Optional[Any]		 =			0
			while content[api_idx]["title"] != "API":
						api_idx += 1
			a__  :	str		 =			content[api_idx]["sections"]

			# Then to the model doc
			a__  :	Optional[Any]		 =			0
			while api_doc[model_idx]["title"] != "Models":
						model_idx += 1

			a__  :	Union[str, Any]		 =			api_doc[model_idx]["sections"]

			a__  :	int		 =			[(idx, section) for idx, section in enumerate(lowerCAmelCase__			) if "sections" in section]
			a__  :	List[str]		 =			False
			for idx, modality_doc in modalities_docs:
						a__  :	Optional[Any]		 =			modality_doc["sections"]
						a__  :	Union[str, Any]		 =			clean_model_doc_toc(lowerCAmelCase__			)

						if old_modality_doc != new_modality_doc:
									a__  :	List[Any]		 =			True
									if overwrite:
												a__  :	str		 =			new_modality_doc

			if diff:
						if overwrite:
									a__  :	Tuple		 =			model_doc
									a__  :	List[Any]		 =			api_doc
									with open(lowerCAmelCase__							,			"w"							,			encoding="utf-8"			) as f:
												f.write(yaml.dump(lowerCAmelCase__							,			allow_unicode=lowerCAmelCase__			)			)
						else:
									raise ValueError(
									    "The model doc part of the table of content is not properly sorted, run `make style` to fix this."			)


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

		check_model_doc(args.fix_and_overwrite)






"""simple docstring"""






from __future__ import annotations






def      lowercase__ (					lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int			)    ->			tuple[int, int]:



			'''simple docstring'''
			if b == 0:
						return (1, 0)
			((a__) ,	(a__))  :	List[Any]		 =			extended_euclid(lowerCAmelCase__							,			a % b			)
			a__  :	str		 =			a // b
			return (y, x - k * y)






def      lowercase__ (					lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int			)    ->			int:



			'''simple docstring'''
			((a__) ,	(a__))  :	Tuple		 =			extended_euclid(lowerCAmelCase__							,			lowerCAmelCase__			)
			a__  :	List[str]		 =			na * na
			a__  :	Union[str, Any]		 =			ra * x * na + ra * y * na
			return (n % m + m) % m






def      lowercase__ (					lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int			)    ->			int:



			'''simple docstring'''
			((a__) ,	(a__))  :	Optional[Any]		 =			extended_euclid(lowerCAmelCase__							,			lowerCAmelCase__			)
			if b < 0:
						a__  :	Optional[int]		 =			(b % n + n) % n
			return b






def      lowercase__ (					lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int							,			lowerCAmelCase__   :			int			)    ->			int:



			'''simple docstring'''
			a__ ,	a__  :	List[Any]		 =			invert_modulo(lowerCAmelCase__							,			lowerCAmelCase__			), invert_modulo(lowerCAmelCase__							,			lowerCAmelCase__			)
			a__  :	Dict		 =			na * na
			a__  :	Any		 =			ra * x * na + ra * y * na
			return (n % m + m) % m


if __name__ == "__main__":
		from doctest import testmod

		testmod(name='''chinese_remainder_theorem''', verbose=True)
		testmod(name='''chinese_remainder_theorem2''', verbose=True)
		testmod(name='''invert_modulo''', verbose=True)
		testmod(name='''extended_euclid''', verbose=True)