


def 							_lowercase    (		SCREAMING_SNAKE_CASE_   :		int       ,  SCREAMING_SNAKE_CASE_   :		list	):





			"""simple docstring"""




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

			return max_revue






def 							_lowercase    (		SCREAMING_SNAKE_CASE_   :		int       ,  SCREAMING_SNAKE_CASE_   :		list	):





			"""simple docstring"""




			_enforce_args(SCREAMING_SNAKE_CASE_       ,  SCREAMING_SNAKE_CASE_	)
			UpperCamelCase         =					[float("""-inf"""	) for _ in range(n + 1	)]
			return _top_down_cut_rod_recursive(SCREAMING_SNAKE_CASE_       ,  SCREAMING_SNAKE_CASE_       ,  SCREAMING_SNAKE_CASE_	)






def 							_lowercase    (		SCREAMING_SNAKE_CASE_   :		int       ,  SCREAMING_SNAKE_CASE_   :		list       ,  SCREAMING_SNAKE_CASE_   :		list	):





			"""simple docstring"""




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

						UpperCamelCase         =					max_revenue

			return max_rev[n]






def 							_lowercase    (		SCREAMING_SNAKE_CASE_   :		int       ,  SCREAMING_SNAKE_CASE_   :		list	):





			"""simple docstring"""




			_enforce_args(SCREAMING_SNAKE_CASE_       ,  SCREAMING_SNAKE_CASE_	)

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

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

						UpperCamelCase         =					max_revenue_i

			return max_rev[n]






def 							_lowercase    (		SCREAMING_SNAKE_CASE_   :		int       ,  SCREAMING_SNAKE_CASE_   :		list	):





			"""simple docstring"""




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

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






def 							_lowercase    (		):





			"""simple docstring"""




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

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

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

			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()








from ...utils import is_torch_available, is_transformers_available


if is_transformers_available() and is_torch_available():
			from .pipeline_vq_diffusion import LearnedClassifierFreeSamplingEmbeddings, VQDiffusionPipeline




