
"""simple docstring"""





def 				A_  (__a					, __a					):

					'''simple docstring'''





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

					return max_revue
def 				A_  (__a					, __a					):

					'''simple docstring'''





					_enforce_args(__a					, __a					)
					A_								=    [float("-inf"					) for _ in range(n + 1					)]
					return _top_down_cut_rod_recursive(__a					, __a					, __a					)
def 				A_  (__a					, __a					, __a					):

					'''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(
															    __a					, prices[i - 1] + _top_down_cut_rod_recursive(n - i					, __a					, __a					)					, )

										A_								=    max_revenue

					return max_rev[n]
def 				A_  (__a					, __a					):

					'''simple docstring'''





					_enforce_args(__a					, __a					)

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

										A_								=    max_revenue_i

					return max_rev[n]
def 				A_  (__a					, __a					):

					'''simple docstring'''





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

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

					'''simple docstring'''





					A_								=    [6, 10, 12, 15, 20, 23]
					A_								=    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.
					A_								=    36

					A_								=    top_down_cut_rod(__a					, __a					)
					A_								=    bottom_up_cut_rod(__a					, __a					)
					A_								=    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 typing import TYPE_CHECKING

from ..utils import _LazyModule


UpperCamelCase_       :    Dict						      =			{
    '''config''': [
        '''EXTERNAL_DATA_FORMAT_SIZE_LIMIT''',
        '''OnnxConfig''',
        '''OnnxConfigWithPast''',
        '''OnnxSeq2SeqConfigWithPast''',
        '''PatchingSpec''',
    ],
    '''convert''': ['''export''', '''validate_model_outputs'''],
    '''features''': ['''FeaturesManager'''],
    '''utils''': ['''ParameterFormat''', '''compute_serialized_parameters_size'''],
}


if TYPE_CHECKING:
		from .config import (
		    EXTERNAL_DATA_FORMAT_SIZE_LIMIT,
		    OnnxConfig,
		    OnnxConfigWithPast,
		    OnnxSeqaSeqConfigWithPast,
		    PatchingSpec,
		)
		from .convert import export, validate_model_outputs
		from .features import FeaturesManager
		from .utils import ParameterFormat, compute_serialized_parameters_size

else:
		import sys

		UpperCamelCase_       :    List[Any]						      =			_LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)




