



import sys




def 	UpperCAmelCase   (						_lowerCamelCase    ):
			A							:					Union[str, Any]              =						len(_lowerCamelCase    )
			A							:					Union[str, Any]              =						[[0 for x in range(_lowerCamelCase    )] for x in range(_lowerCamelCase    )]
			A							:					Tuple              =						[[0 for x in range(_lowerCamelCase    )] for x in range(_lowerCamelCase    )]

			for chain_length in range(2 ,    _lowerCamelCase    ):
						for a in range(1 ,    n - chain_length + 1    ):
									A							:					Any              =						a + chain_length - 1

									A							:					Dict              =						sys.maxsize
									for c in range(_lowerCamelCase ,    _lowerCamelCase    ):
												A							:					Dict              =						(
												    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
												)
												if cost < matrix[a][b]:
															A							:					Any              =						cost
															A							:					Optional[Any]              =						c
			return matrix, sol




def 	UpperCAmelCase   (						_lowerCamelCase ,    _lowerCamelCase ,    _lowerCamelCase    ):
			if i == j:
						print("A" + str(_lowerCamelCase    ) ,    end=" "    )
			else:
						print("(" ,    end=" "    )
						print_optiomal_solution(_lowerCamelCase ,    _lowerCamelCase ,    optimal_solution[i][j]    )
						print_optiomal_solution(_lowerCamelCase ,    optimal_solution[i][j] + 1 ,    _lowerCamelCase    )
						print(")" ,    end=" "    )




def 	UpperCAmelCase   (						):
			A							:					Optional[Any]              =						[30, 35, 15, 5, 10, 20, 25]
			A							:					int              =						len(_lowerCamelCase    )
			# Size of matrix created from above array will be
			# 30*35 35*15 15*5 5*10 10*20 20*25
			A       , A							:					Optional[int]              =						matrix_chain_order(_lowerCamelCase    )

			print("No. of Operation required: " + str(matrix[1][n - 1]    )    )
			print_optiomal_solution(_lowerCamelCase ,    1 ,    n - 1    )


if __name__ == "__main__":
							main()




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 )