
def lowerCamelCase						(     SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE			):
    '''simple docstring'''







    global f  # a global dp table for knapsack
    if f[i][j] < 0:
        if j < wt[i - 1]:
            __UpperCamelCase  :Optional[Any]    						=	mf_knapsack(i - 1						,    lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_			)
        else:
            __UpperCamelCase  :List[str]    						=	max(
                mf_knapsack(i - 1						,    lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_			)						,    mf_knapsack(i - 1						,    lowerCAmelCase_						,    lowerCAmelCase_						,    j - wt[i - 1]			) + val[i - 1]						,    )
        __UpperCamelCase  :Optional[int]    						=	val
    return f[i][j]



def lowerCamelCase						(     SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE			):
    '''simple docstring'''







    __UpperCamelCase  :Tuple    						=	[[0] * (w + 1) for _ in range(n + 1			)]

    for i in range(1						,    n + 1			):
        for w_ in range(1						,    w + 1			):
            if wt[i - 1] <= w_:
                __UpperCamelCase  :int    						=	max(val[i - 1] + dp[i - 1][w_ - wt[i - 1]]						,    dp[i - 1][w_]			)
            else:
                __UpperCamelCase  :str    						=	dp[i - 1][w_]

    return dp[n][w_], dp



def lowerCamelCase						(     SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE			):
    '''simple docstring'''







    if not (isinstance(lowerCAmelCase_						,    (list, tuple)			) and isinstance(lowerCAmelCase_						,    (list, tuple)			)):
        raise ValueError(
            '''Both the weights and values vectors must be either lists or tuples'''			)

    __UpperCamelCase  :Tuple    						=	len(lowerCAmelCase_			)
    if num_items != len(lowerCAmelCase_			):
        __UpperCamelCase  :str    						=	(
            "The number of weights must be the same as the number of values.\n"
            f"""But got {num_items} weights and {len(lowerCAmelCase_			)} values"""
        )
        raise ValueError(lowerCAmelCase_			)
    for i in range(lowerCAmelCase_			):
        if not isinstance(wt[i]						,    lowerCAmelCase_			):
            __UpperCamelCase  :List[Any]    						=	(
                "All weights must be integers but got weight of "
                f"""type {type(wt[i]			)} at index {i}"""
            )
            raise TypeError(lowerCAmelCase_			)

    __UpperCamelCase  :Any    						=	knapsack(lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_			)
    __UpperCamelCase  :set    						=	set()
    _construct_solution(lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_						,    lowerCAmelCase_			)

    return optimal_val, example_optional_set



def lowerCamelCase						(     SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE						,    SCREAMING_SNAKE_CASE			):
    '''simple docstring'''







    if i > 0 and j > 0:
        if dp[i - 1][j] == dp[i][j]:
            _construct_solution(lowerCAmelCase_						,    lowerCAmelCase_						,    i - 1						,    lowerCAmelCase_						,    lowerCAmelCase_			)
        else:
            optimal_set.add(lowerCAmelCase_			)
            _construct_solution(lowerCAmelCase_						,    lowerCAmelCase_						,    i - 1						,    j - wt[i - 1]						,    lowerCAmelCase_			)


if __name__ == "__main__":
    __lowercase											=      [3, 2, 4, 4]
    __lowercase											=      [4, 3, 2, 3]
    __lowercase											=      4
    __lowercase											=      6
    __lowercase											=      [[0] * (w + 1)] + [[0] + [-1] * (w + 1) for _ in range(n + 1)]
    __lowercase				, __lowercase											=      knapsack(w, wt, val, n)
    print(optimal_solution)
    print(mf_knapsack(n, wt, val, w))  # switched the n and w

    # testing the dynamic programming problem with example
    # the optimal subset for the above example are items 3 and 4
    __lowercase				, __lowercase											=      knapsack_with_example_solution(w, wt, val)
    assert optimal_solution == 8
    assert optimal_subset == {3, 4}
    print('''optimal_value = ''', optimal_solution)
    print('''An optimal subset corresponding to the optimal value''', optimal_subset)






from typing import List

import datasets
from datasets.tasks import AudioClassification

from ..folder_based_builder import folder_based_builder


__lowercase											=      datasets.utils.logging.get_logger(__name__)


class 			lowerCamelCase_  (     folder_based_builder.FolderBasedBuilderConfig				):






    '''simple docstring'''






    a__			:		bool      			=   None
    a__			:		bool      			=   None


class 			lowerCamelCase_  (     folder_based_builder.FolderBasedBuilder				):






    '''simple docstring'''






    a__			:		List[Any]      			=   datasets.Audio()
    a__			:		int      			=   """audio"""
    a__			:		str      			=   AudioFolderConfig
    a__			:		List[str]  # definition at the bottom of the script
    a__			:		int      			=   AudioClassification(audio_column="""audio"""		,			label_column="""label"""				)
__lowercase											=      [
    '''.aiff''',
    '''.au''',
    '''.avr''',
    '''.caf''',
    '''.flac''',
    '''.htk''',
    '''.svx''',
    '''.mat4''',
    '''.mat5''',
    '''.mpc2k''',
    '''.ogg''',
    '''.paf''',
    '''.pvf''',
    '''.raw''',
    '''.rf64''',
    '''.sd2''',
    '''.sds''',
    '''.ircam''',
    '''.voc''',
    '''.w64''',
    '''.wav''',
    '''.nist''',
    '''.wavex''',
    '''.wve''',
    '''.xi''',
    '''.mp3''',
    '''.opus''',
]
__lowercase											=      AUDIO_EXTENSIONS





