




"""simple docstring"""






def   _snake_case    (       lowercase__							,					lowercase__	):
				_enforce_args(_A							,					_A	)
				if n == 0:
								return 0
				_lowerCamelCase  :    Any					=					float('-inf'	)
				for i in range(1							,					n + 1	):
								_lowerCamelCase  :    Optional[int]					=					max(
								    _A							,					prices[i - 1] + naive_cut_rod_recursive(n - i							,					_A	)	)

				return max_revue







def   _snake_case    (       lowercase__							,					lowercase__	):
				_enforce_args(_A							,					_A	)
				_lowerCamelCase  :    str					=					[float('-inf'	) for _ in range(n + 1	)]
				return _top_down_cut_rod_recursive(_A							,					_A							,					_A	)







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):

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

								_lowerCamelCase  :    Tuple					=					max_revenue

				return max_rev[n]







def   _snake_case    (       lowercase__							,					lowercase__	):
				_enforce_args(_A							,					_A	)

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

				for i in range(1							,					n + 1	):
								_lowerCamelCase  :    str					=					max_rev[i]
								for j in range(1							,					i + 1	):
												_lowerCamelCase  :    Tuple					=					max(_A							,					prices[j - 1] + max_rev[i - j]	)

								_lowerCamelCase  :    Tuple					=					max_revenue_i

				return max_rev[n]







def   _snake_case    (       lowercase__							,					lowercase__	):

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

				if n > len(_A	):
								_lowerCamelCase  :    List[str]					=					(
								    'Each integral piece of rod must have a corresponding price. '
								    f'''Got n = {n} but length of prices = {len(_A	)}'''
								)
								raise ValueError(_A	)







def   _snake_case    (       ):
				_lowerCamelCase  :    Optional[Any]					=					[6, 10, 12, 15, 20, 23]
				_lowerCamelCase  :    str					=					len(_A	)

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

				_lowerCamelCase  :    int					=					top_down_cut_rod(_A							,					_A	)
				_lowerCamelCase  :    List[Any]					=					bottom_up_cut_rod(_A							,					_A	)
				_lowerCamelCase  :    Optional[Any]					=					naive_cut_rod_recursive(_A							,					_A	)

				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"""






from pathlib import Path

import fire







def   _snake_case    (       lowercase__							,					lowercase__							,					lowercase__	):
				_lowerCamelCase  :    int					=					Path(lowercase__	)
				_lowerCamelCase  :    List[Any]					=					Path(lowercase__	)
				dest_dir.mkdir(exist_ok=lowercase__	)
				for path in src_dir.iterdir():
								_lowerCamelCase  :    str					=					[x.rstrip() for x in list(path.open().readlines()	)][:n]
								_lowerCamelCase  :    Any					=					dest_dir.joinpath(path.name	)
								print(lowercase__	)
								dest_path.open('w'	).write('\n'.join(lowercase__	)	)


if __name__ == "__main__":
			fire.Fire(minify)