




'''simple docstring'''


def 		snake_case_   (UpperCamelCase	:  int			,						UpperCamelCase	:  list				):





							'''simple docstring'''


							_enforce_args(UpperCamelCase			,						UpperCamelCase				)
							if n == 0:
														return 0
							_a     					=    float('''-inf'''				)
							for i in range(1			,						n + 1				):
														_a     					=    max(
														    UpperCamelCase			,						prices[i - 1] + naive_cut_rod_recursive(n - i			,						UpperCamelCase				)				)

							return max_revue
def 		snake_case_   (UpperCamelCase	:  int			,						UpperCamelCase	:  list				):





							'''simple docstring'''


							_enforce_args(UpperCamelCase			,						UpperCamelCase				)
							_a     					=    [float('''-inf'''				) for _ in range(n + 1				)]
							return _top_down_cut_rod_recursive(UpperCamelCase			,						UpperCamelCase			,						UpperCamelCase				)
def 		snake_case_   (UpperCamelCase	:  int			,						UpperCamelCase	:  list			,						UpperCamelCase	:  list				):





							'''simple docstring'''


							if max_rev[n] >= 0:
														return max_rev[n]
							elif n == 0:
														return 0
							else:
														_a     					=    float('''-inf'''				)
														for i in range(1			,						n + 1				):
																					_a     					=    max(
																					    UpperCamelCase			,						prices[i - 1] + _top_down_cut_rod_recursive(n - i			,						UpperCamelCase			,						UpperCamelCase				)			,						)

														_a     					=    max_revenue

							return max_rev[n]
def 		snake_case_   (UpperCamelCase	:  int			,						UpperCamelCase	:  list				):





							'''simple docstring'''


							_enforce_args(UpperCamelCase			,						UpperCamelCase				)

							# length(max_rev) = n + 1, to accommodate for the revenue obtainable from a rod of
							# length 0.
							_a     					=    [float('''-inf'''				) for _ in range(n + 1				)]
							_a     					=    0

							for i in range(1			,						n + 1				):
														_a     					=    max_rev[i]
														for j in range(1			,						i + 1				):
																					_a     					=    max(UpperCamelCase			,						prices[j - 1] + max_rev[i - j]				)

														_a     					=    max_revenue_i

							return max_rev[n]
def 		snake_case_   (UpperCamelCase	:  int			,						UpperCamelCase	:  list				):





							'''simple docstring'''


							if n < 0:
														_a     					=    f'n must be greater than or equal to 0. Got n = {n}'
														raise ValueError(UpperCamelCase				)

							if n > len(UpperCamelCase				):
														_a     					=    (
														    '''Each integral piece of rod must have a corresponding price. '''
														    f'Got n = {n} but length of prices = {len(UpperCamelCase				)}'
														)
														raise ValueError(UpperCamelCase				)
def 		snake_case_   ():





							'''simple docstring'''


							_a     					=    [6, 10, 12, 15, 20, 23]
							_a     					=    len(UpperCamelCase				)

							# the best revenue comes from cutting the rod into 6 pieces, each
							# of length 1 resulting in a revenue of 6 * 6 = 36.
							_a     					=    36

							_a     					=    top_down_cut_rod(UpperCamelCase			,						UpperCamelCase				)
							_a     					=    bottom_up_cut_rod(UpperCamelCase			,						UpperCamelCase				)
							_a     					=    naive_cut_rod_recursive(UpperCamelCase			,						UpperCamelCase				)

							assert expected_max_revenue == max_rev_top_down
							assert max_rev_top_down == max_rev_bottom_up
							assert max_rev_bottom_up == max_rev_naive


if __name__ == "__main__":
				main()







'''simple docstring'''


import argparse
from collections import defaultdict

import yaml


_snake_case				:				int       							=		'docs/source/en/_toctree.yml'
def 		snake_case_   (UpperCamelCase	:  Optional[int]				):





							'''simple docstring'''


							_a     					=    defaultdict(UpperCamelCase				)
							for doc in model_doc:
														counts[doc["local"]] += 1
							_a     					=    [key for key, value in counts.items() if value > 1]

							_a     					=    []
							for duplicate_key in duplicates:
														_a     					=    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 		snake_case_   (UpperCamelCase	:  str=False				):





							'''simple docstring'''


							with open(UpperCamelCase			,						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[model_idx]["title"] != "Models":
														model_idx += 1

							_a     					=    api_doc[model_idx]['''sections''']

							_a     					=    [(idx, section) for idx, section in enumerate(UpperCamelCase				) if '''sections''' in section]
							_a     					=    False
							for idx, modality_doc in modalities_docs:
														_a     					=    modality_doc['''sections''']
														_a     					=    clean_model_doc_toc(UpperCamelCase				)

														if old_modality_doc != new_modality_doc:
																					_a     					=    True
																					if overwrite:
																												_a     					=    new_modality_doc

							if diff:
														if overwrite:
																					_a     					=    model_doc
																					_a     					=    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__":
				_snake_case				:				List[str]       							=		argparse.ArgumentParser()
				parser.add_argument('--fix_and_overwrite', action='store_true', help='Whether to fix inconsistencies.')
				_snake_case				:				List[Any]       							=		parser.parse_args()

				check_model_doc(args.fix_and_overwrite)

