
import sys







def        SCREAMING_SNAKE_CASE__			(     __A			) ->			Any:
	_snake_case     		=	len(__A			)
	_snake_case     		=	[[0 for x in range(__A			)] for x in range(__A			)]
	_snake_case     		=	[[0 for x in range(__A			)] for x in range(__A			)]

	for chain_length in range(2    ,       __A			):
		for a in range(1    ,       n - chain_length + 1			):
			_snake_case     		=	a + chain_length - 1

			_snake_case     		=	sys.maxsize
			for c in range(__A    ,       __A			):
				_snake_case     		=	(
				    matrix[a][c] + matrix[c + 1][b] + array[a - 1] * array[c] * array[b]
				)
				if cost < matrix[a][b]:
					_snake_case     		=	cost
					_snake_case     		=	c
	return matrix, sol







def        SCREAMING_SNAKE_CASE__			(     __A    ,       __A    ,       __A			) ->			Optional[Any]:
	if i == j:
		print('A' + str(__A			)    ,       end=' '			)
	else:
		print('('    ,       end=' '			)
		print_optiomal_solution(__A    ,       __A    ,       optimal_solution[i][j]			)
		print_optiomal_solution(__A    ,       optimal_solution[i][j] + 1    ,       __A			)
		print(')'    ,       end=' '			)







def        SCREAMING_SNAKE_CASE__			(     ) ->			Tuple:
	_snake_case     		=	[30, 35, 15, 5, 10, 20, 25]
	_snake_case     		=	len(__A			)
	# Size of matrix created from above array will be
	# 30*35 35*15 15*5 5*10 10*20 20*25
	_snake_case		,				_snake_case     		=	matrix_chain_order(__A			)

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


if __name__ == "__main__":
					main()



'''simple docstring'''







from ..utils import DummyObject, requires_backends


class 		__UpperCAmelCase   (      metaclass=_lowerCamelCase		):
							__lowercase   	= ["""torch""", """torchsde"""]


							def __init__( self					,     *lowerCAmelCase_					,     **lowerCAmelCase_						):





								"""simple docstring"""






								requires_backends(self					,     ['torch', 'torchsde']						)


							@classmethod
							def 				lowerCamelCase       ( cls					,     *lowerCAmelCase_					,     **lowerCAmelCase_						):





								"""simple docstring"""






								requires_backends(cls					,     ['torch', 'torchsde']						)




							@classmethod
							def 				lowerCamelCase       ( cls					,     *lowerCAmelCase_					,     **lowerCAmelCase_						):





								"""simple docstring"""






								requires_backends(cls					,     ['torch', 'torchsde']						)

