
"""simple docstring"""


import argparse
from collections import defaultdict

import yaml


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






def    _snake_case					(		snake_case__ :  str  ):
	A     = defaultdict(snake_case__  )
	A     = []
	A     = []
	for doc in doc_list:
		if "local" in doc:
			counts[doc["local"]] += 1

		if doc["title"].lower() == "overview":
			overview_doc.append({'local': doc['local'], 'title': doc['title']}  )
		else:
			new_doc_list.append(snake_case__  )

	A     = new_doc_list
	A     = [key for key, value in counts.items() if value > 1]

	A     = []
	for duplicate_key in duplicates:
		A     = list({doc['title'] for doc in doc_list if doc['local'] == duplicate_key}  )
		if len(snake_case__  ) > 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 doc_list if 'local' not in counts or counts[doc['local']] == 1]  )
	A     = sorted(snake_case__						,   key=lambda snake_case__  : s["title"].lower()  )

	# "overview" gets special treatment and is always first
	if len(snake_case__  ) > 1:
		raise ValueError('{doc_list} has two \'overview\' docs which is not allowed.'  )

	overview_doc.extend(snake_case__  )

	# Sort
	return overview_doc






def    _snake_case					(		snake_case__ :  Optional[int]=False  ):
	with open(snake_case__						,   encoding='utf-8'  ) as f:
		A     = yaml.safe_load(f.read()  )

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

	# Then to the model doc
	A     = 0
	while api_doc[scheduler_idx]["title"] != "Schedulers":
		scheduler_idx += 1

	A     = api_doc[scheduler_idx]['sections']
	A     = clean_doc_toc(snake_case__  )

	A     = False
	if new_scheduler_doc != scheduler_doc:
		A     = True
		if overwrite:
			A     = new_scheduler_doc

	if diff:
		if overwrite:
			A     = api_doc
			with open(snake_case__						,   'w'						,   encoding='utf-8'  ) as f:
				f.write(yaml.dump(snake_case__						,   allow_unicode=snake_case__  )  )
		else:
			raise ValueError(
			    'The model doc part of the table of content is not properly sorted, run `make style` to fix this.'  )






def    _snake_case					(		snake_case__ :  Dict=False  ):
	with open(snake_case__						,   encoding='utf-8'  ) as f:
		A     = yaml.safe_load(f.read()  )

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

	# Then to the model doc
	A     = 0
	while api_doc[pipeline_idx]["title"] != "Pipelines":
		pipeline_idx += 1

	A     = False
	A     = api_doc[pipeline_idx]['sections']
	A     = []

	# sort sub pipeline docs
	for pipeline_doc in pipeline_docs:
		if "section" in pipeline_doc:
			A     = pipeline_doc['section']
			A     = clean_doc_toc(snake_case__  )
			if overwrite:
				A     = new_sub_pipeline_doc
		new_pipeline_docs.append(snake_case__  )

	# sort overall pipeline doc
	A     = clean_doc_toc(snake_case__  )

	if new_pipeline_docs != pipeline_docs:
		A     = True
		if overwrite:
			A     = new_pipeline_docs

	if diff:
		if overwrite:
			A     = api_doc
			with open(snake_case__						,   'w'						,   encoding='utf-8'  ) as f:
				f.write(yaml.dump(snake_case__						,   allow_unicode=snake_case__  )  )
		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__":
		_lowercase				 =					argparse.ArgumentParser()
		parser.add_argument('''--fix_and_overwrite''', action='''store_true''', help='''Whether to fix inconsistencies.''')
		_lowercase				 =					parser.parse_args()

		check_scheduler_doc(args.fix_and_overwrite)
		check_pipeline_doc(args.fix_and_overwrite)

"""simple docstring"""


from __future__ import annotations






def    _snake_case					(		snake_case__ :  tuple[int, int]						,   snake_case__ :  int  ):
	A ,   A     = position
	A     = [
	    (y + 1, x + 2),
	    (y - 1, x + 2),
	    (y + 1, x - 2),
	    (y - 1, x - 2),
	    (y + 2, x + 1),
	    (y + 2, x - 1),
	    (y - 2, x + 1),
	    (y - 2, x - 1),
	]
	A     = []

	for position in positions:
		A ,   A     = position
		if 0 <= y_test < n and 0 <= x_test < n:
			permissible_positions.append(snake_case__  )

	return permissible_positions






def    _snake_case					(		snake_case__ :  list[list[int]]  ):
	return not any(elem == 0 for row in board for elem in row  )






def    _snake_case					(		snake_case__ :  list[list[int]]						,   snake_case__ :  tuple[int, int]						,   snake_case__ :  int  ):

	if is_complete(snake_case__  ):
		return True

	for position in get_valid_pos(snake_case__						,   len(snake_case__  )  ):
		A ,   A     = position

		if board[y][x] == 0:
			A     = curr + 1
			if open_knight_tour_helper(snake_case__						,   snake_case__						,   curr + 1  ):
				return True
			A     = 0

	return False






def    _snake_case					(		snake_case__ :  int  ):
	A     = [[0 for i in range(snake_case__  )] for j in range(snake_case__  )]

	for i in range(snake_case__  ):
		for j in range(snake_case__  ):
			A     = 1
			if open_knight_tour_helper(snake_case__						,   (i, j)						,   1  ):
				return board
			A     = 0

	A     = F'Open Kight Tour cannot be performed on a board of size {n}'
	raise ValueError(snake_case__  )


if __name__ == "__main__":
		import doctest

		doctest.testmod()