




'''simple docstring'''





def 					UpperCamelCase_(     snake_case							:	List[str]					):

							'''simple docstring'''






							snake_case_      =				[]
							snake_case_      =				set({"(", "[", "{"}					)
							snake_case_      =				set({")", "]", "}"}					)
							snake_case_      =				{"{": "}", "[": "]", "(": ")"}

							for i in range(len(__snake_case					)					):
														if s[i] in open_brackets:
																					stack.append(s[i]					)

														elif s[i] in closed_brackets and (
														    len(__snake_case					) == 0 or (len(__snake_case					) > 0 and open_to_closed[stack.pop()] != s[i])
														):
																					return False

							return len(__snake_case					) == 0


def 					UpperCamelCase_(     ):

							'''simple docstring'''






							snake_case_      =				input("Enter sequence of brackets: "					)
							if is_balanced(__snake_case					):
														print(__snake_case							,    "is balanced"					)
							else:
														print(__snake_case							,    "is not balanced"					)


if __name__ == "__main__":
		main()









'''simple docstring'''





from __future__ import annotations

import numpy as np


def 					UpperCamelCase_(     snake_case							:	np.ndarray					):

							'''simple docstring'''






							snake_case_ ,				snake_case_      =				np.shape(snake_case					)
							if rows != columns:
														snake_case_      =				(
														    "'table' has to be of square shaped array but got a "
														    f'{rows}x{columns} array:\n{table}'
														)
														raise ValueError(snake_case					)

							snake_case_      =				np.zeros((rows, columns)					)
							snake_case_      =				np.zeros((rows, columns)					)
							for i in range(snake_case					):
														for j in range(snake_case					):
																					snake_case_      =				sum(lower[i][k] * upper[k][j] for k in range(snake_case					)					)
																					if upper[j][j] == 0:
																												raise ArithmeticError("No LU decomposition exists"					)
																					snake_case_      =				(table[i][j] - total) / upper[j][j]
														snake_case_      =				1
														for j in range(snake_case							,    snake_case					):
																					snake_case_      =				sum(lower[i][k] * upper[k][j] for k in range(snake_case					)					)
																					snake_case_      =				table[i][j] - total
							return lower, upper


if __name__ == "__main__":
		import doctest

		doctest.testmod()




