



def 	UpperCAmelCase   (						_lowerCamelCase ,    _lowerCamelCase    ):
			A							:					List[str]              =						len(_lowerCamelCase    )
			A							:					Optional[Any]              =						[[False] * (required_sum + 1) for _ in range(arr_len + 1    )]

			# for each arr value, a sum of zero(0) can be formed by not taking any element
			# hence True/1
			for i in range(arr_len + 1    ):
						A							:					str              =						True

			# sum is not zero and set is empty then false
			for i in range(1 ,    required_sum + 1    ):
						A							:					str              =						False

			for i in range(1 ,    arr_len + 1    ):
						for j in range(1 ,    required_sum + 1    ):
									if arr[i - 1] > j:
												A							:					int              =						subset[i - 1][j]
									if arr[i - 1] <= j:
												A							:					Tuple              =						subset[i - 1][j] or subset[i - 1][j - arr[i - 1]]

			return subset[arr_len][required_sum]


if __name__ == "__main__":
							import doctest

							doctest.testmod()




from collections import deque

from .hash_table import HashTable

class 	lowerCamelCase_    ( _A						):






						'''simple docstring'''







						def __init__(	self      :			Union[str, Any]	,	*__lowerCamelCase      :			Dict	,	**__lowerCamelCase      :			int )      ->				Optional[int]:
									super().__init__(*__lowerCamelCase	,	**__lowerCamelCase )







						def 			SCREAMING_SNAKE_CASE__		(	self      :			List[str]	,	__lowerCamelCase      :			List[str]	,	__lowerCamelCase      :			Union[str, Any] )      ->				Union[str, Any]:
									A							:					Optional[Any]              =						deque([] ) if self.values[key] is None else self.values[key]
									self.values[key].appendleft(__lowerCamelCase )
									A							:					Dict              =						self.values[key]







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Any )      ->				str:
									return (
									    sum(self.charge_factor - len(__lowerCamelCase ) for slot in self.values )
									    / self.size_table
									    * self.charge_factor
									)







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Optional[Any]	,	__lowerCamelCase      :			Any	,	__lowerCamelCase      :			List[Any]=None )      ->				Optional[int]:
									if not (
									    len(self.values[key] ) == self.charge_factor and self.values.count(__lowerCamelCase ) == 0
									):
												return key
									return super()._collision_resolution(__lowerCamelCase	,	__lowerCamelCase )