




"""simple docstring"""

import argparse
from collections import defaultdict

import yaml


_lowerCamelCase  :			List[str]        =       'docs/source/en/_toctree.yml'

def 		lowercase_      (		_UpperCAmelCase	):




	"""simple docstring"""






	A_  :				Dict	   =		defaultdict(_UpperCAmelCase	)
	for doc in model_doc:
		counts[doc["local"]] += 1
	A_  :				Any	   =		[key for key, value in counts.items() if value > 1]

	A_  :				Optional[Any]	   =		[]
	for duplicate_key in duplicates:
		A_  :				Dict	   =		list({doc['''title'''] for doc in model_doc if doc['''local'''] == duplicate_key}	)
		if len(_UpperCAmelCase	) > 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(_UpperCAmelCase  ,      key=lambda _UpperCAmelCase	: s["title"].lower()	)

def 		lowercase_      (		_UpperCAmelCase=False	):




	"""simple docstring"""






	with open(_UpperCAmelCase  ,      encoding='''utf-8'''	) as f:
		A_  :				List[str]	   =		yaml.safe_load(f.read()	)

	# Get to the API doc
	A_  :				List[Any]	   =		0
	while content[api_idx]["title"] != "API":
		api_idx += 1
	A_  :				Tuple	   =		content[api_idx]['''sections''']

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

	A_  :				int	   =		api_doc[model_idx]['''sections''']

	A_  :				Optional[int]	   =		[(idx, section) for idx, section in enumerate(_UpperCAmelCase	) if '''sections''' in section]
	A_  :				Optional[Any]	   =		False
	for idx, modality_doc in modalities_docs:
		A_  :				str	   =		modality_doc['''sections''']
		A_  :				List[str]	   =		clean_model_doc_toc(_UpperCAmelCase	)

		if old_modality_doc != new_modality_doc:
			A_  :				List[Any]	   =		True
			if overwrite:
				A_  :				Optional[int]	   =		new_modality_doc

	if diff:
		if overwrite:
			A_  :				List[str]	   =		model_doc
			A_  :				Dict	   =		api_doc
			with open(_UpperCAmelCase  ,      '''w'''  ,      encoding='''utf-8'''	) as f:
				f.write(yaml.dump(_UpperCAmelCase  ,      allow_unicode=_UpperCAmelCase	)	)
		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__":
		_lowerCamelCase  :			List[Any]        =       argparse.ArgumentParser()
		parser.add_argument('--fix_and_overwrite', action='store_true', help='Whether to fix inconsistencies.')
		_lowerCamelCase  :			Tuple        =       parser.parse_args()

		check_model_doc(args.fix_and_overwrite)












"""simple docstring"""

import random

from .binary_exp_mod import bin_exp_mod

def 		lowercase_      (		_UpperCAmelCase  ,      _UpperCAmelCase=1000	):




	"""simple docstring"""






	if n < 2:
		return False

	if n % 2 == 0:
		return n == 2

	# this means n is odd
	A_  :				List[Any]	   =		n - 1
	A_  :				Dict	   =		0
	while d % 2 == 0:
		d /= 2
		exp += 1

	# n - 1=d*(2**exp)
	A_  :				Optional[Any]	   =		0
	while count < prec:
		A_  :				Optional[int]	   =		random.randint(2  ,      n - 1	)
		A_  :				Any	   =		bin_exp_mod(_UpperCAmelCase  ,      _UpperCAmelCase  ,      _UpperCAmelCase	)
		if b != 1:
			A_  :				Dict	   =		True
			for _ in range(_UpperCAmelCase	):
				if b == n - 1:
					A_  :				Optional[int]	   =		False
					break
				A_  :				Any	   =		b * b
				b %= n
			if flag:
				return False
			count += 1
	return True


if __name__ == "__main__":
		_lowerCamelCase  :			List[str]        =       abs(int(input('Enter bound : ').strip()))
		print('Here\'s the list of primes:')
		print(', '.join(str(i) for i in range(n + 1) if is_prime_big(i)))





