

from importlib import import_module

from .logging import get_logger


lowerCAmelCase__		      =       get_logger(__name__)

class     a__  :
			"""simple docstring"""







			def __init__(			self					,					lowercase					,					lowercase=None				)     ->  List[str]:
							'''simple docstring'''






							A__						=	attrs or []
							if module is not None:
											for key in module.__dict__:
															if key in attrs or not key.startswith("__"				):
																			setattr(self					,					_a					,					getattr(_a					,					_a				)				)
							A__						=	module._original_module if isinstance(_a					,					_PatchedModuleObj				) else module

class     a__  :
			"""simple docstring"""







			__lowerCamelCase       				=				[]


			def __init__(			self					,					lowercase					,					lowercase					,					lowercase					,					lowercase=None				)     ->  Any:
							'''simple docstring'''






							A__						=	obj
							A__						=	target
							A__						=	new
							A__						=	target.split("."				)[0]
							A__						=	{}
							A__						=	attrs or []


			def __enter__(			self				)     ->  Union[str, Any]:
							'''simple docstring'''






							*A__			, A__						=	self.target.split("."				)

							# Patch modules:
							# it's used to patch attributes of submodules like "os.path.join";
							# in this case we need to patch "os" and "os.path"

							for i in range(len(_a				)				):
											try:
															A__						=	import_module(".".join(submodules[: i + 1]				)				)
											except ModuleNotFoundError:
															continue
											# We iterate over all the globals in self.obj in case we find "os" or "os.path"
											for attr in self.obj.__dir__():
															A__						=	getattr(self.obj					,					_a				)
															# We don't check for the name of the global, but rather if its value *is* "os" or "os.path".
															# This allows to patch renamed modules like "from os import path as ospath".
															if obj_attr is submodule or (
															    (isinstance(_a					,					_PatchedModuleObj				) and obj_attr._original_module is submodule)
															):
																			A__						=	obj_attr
																			# patch at top level
																			setattr(self.obj					,					_a					,					_PatchedModuleObj(_a					,					attrs=self.attrs				)				)
																			A__						=	getattr(self.obj					,					_a				)
																			# construct lower levels patches
																			for key in submodules[i + 1 :]:
																							setattr(_a					,					_a					,					_PatchedModuleObj(getattr(_a					,					_a					,					_a				)					,					attrs=self.attrs				)				)
																							A__						=	getattr(_a					,					_a				)
																			# finally set the target attribute
																			setattr(_a					,					_a					,					self.new				)

        # Patch attribute itself:
        # it's used for builtins like "open",
        # and also to patch "os.path.join" we may also need to patch "join"
        # itself if it was imported as "from os.path import join".

							if submodules:  # if it's an attribute of a submodule like "os.path.join"
											try:
															A__						=	getattr(import_module(".".join(_a				)				)					,					_a				)
											except (AttributeError, ModuleNotFoundError):
															return
											# We iterate over all the globals in self.obj in case we find "os.path.join"
											for attr in self.obj.__dir__():
															# We don't check for the name of the global, but rather if its value *is* "os.path.join".
															# This allows to patch renamed attributes like "from os.path import join as pjoin".
															if getattr(self.obj					,					_a				) is attr_value:
																			A__						=	getattr(self.obj					,					_a				)
																			setattr(self.obj					,					_a					,					self.new				)
							elif target_attr in globals()["__builtins__"]:  # if it'a s builtin like "open"
											A__						=	globals()["__builtins__"][target_attr]
											setattr(self.obj					,					_a					,					self.new				)
							else:
											raise RuntimeError(F'Tried to patch attribute {target_attr} instead of a submodule.'				)


			def __exit__(			self					,					*lowercase				)     ->  List[Any]:
							'''simple docstring'''






							for attr in list(self.original				):
											setattr(self.obj					,					_a					,					self.original.pop(_a				)				)


			def    UpperCamelCase						(			self				)     ->  List[Any]:
							'''simple docstring'''






							self.__enter__()
							self._active_patches.append(self				)


			def    UpperCamelCase						(			self				)     ->  Optional[int]:
							'''simple docstring'''






							try:
											self._active_patches.remove(self				)
							except ValueError:
											# If the patch hasn't been started this will fail
											return None

							return self.__exit__()





"""simple docstring"""




def        lowercase							(		lowerCAmelCase__ :     int    ,					lowerCAmelCase__ :     list			) ->      List[Any]:
		_enforce_args(lowerCAmelCase__    ,					lowerCAmelCase__			)
		if n == 0:
				return 0
		__a           =			float('''-inf'''			)
		for i in range(1    ,					n + 1			):
				__a           =			max(
				    lowerCAmelCase__    ,					prices[i - 1] + naive_cut_rod_recursive(n - i    ,					lowerCAmelCase__			)			)

		return max_revue

def        lowercase							(		lowerCAmelCase__ :     int    ,					lowerCAmelCase__ :     list			) ->      List[str]:
		_enforce_args(lowerCAmelCase__    ,					lowerCAmelCase__			)
		__a           =			[float('''-inf'''			) for _ in range(n + 1			)]
		return _top_down_cut_rod_recursive(lowerCAmelCase__    ,					lowerCAmelCase__    ,					lowerCAmelCase__			)

def        lowercase							(		lowerCAmelCase__ :     int    ,					lowerCAmelCase__ :     list    ,					lowerCAmelCase__ :     list			) ->      Union[str, Any]:
		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(
						    lowerCAmelCase__    ,					prices[i - 1] + _top_down_cut_rod_recursive(n - i    ,					lowerCAmelCase__    ,					lowerCAmelCase__			)    ,					)

				__a           =			max_revenue

		return max_rev[n]

def        lowercase							(		lowerCAmelCase__ :     int    ,					lowerCAmelCase__ :     list			) ->      Dict:
		_enforce_args(lowerCAmelCase__    ,					lowerCAmelCase__			)

		# 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(lowerCAmelCase__    ,					prices[j - 1] + max_rev[i - j]			)

				__a           =			max_revenue_i

		return max_rev[n]

def        lowercase							(		lowerCAmelCase__ :     int    ,					lowerCAmelCase__ :     list			) ->      str:
		if n < 0:
				__a           =			f'''n must be greater than or equal to 0. Got n = {n}'''
				raise ValueError(lowerCAmelCase__			)

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

def        lowercase							(		) ->      int:
		__a           =			[6, 10, 12, 15, 20, 23]
		__a           =			len(lowerCAmelCase__			)

		# 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(lowerCAmelCase__    ,					lowerCAmelCase__			)
		__a           =			bottom_up_cut_rod(lowerCAmelCase__    ,					lowerCAmelCase__			)
		__a           =			naive_cut_rod_recursive(lowerCAmelCase__    ,					lowerCAmelCase__			)

		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()






