



"""simple docstring"""







from __future__ import annotations

import typing
from collections.abc import Iterable

import numpy as np

UpperCamelCase     =							typing.Union[Iterable[float], Iterable[int], np.ndarray]  # noqa: UP007
UpperCamelCase     =							typing.Union[np.floataa, int, float]  # noqa: UP007

def       _lowerCamelCase				(							UpperCAmelCase_ :       Vector,	UpperCAmelCase_ :       Vector     )	-> VectorOut:






	"""simple docstring"""





	return np.sqrt(np.sum((np.asarray(UpperCAmelCase_     ) - np.asarray(UpperCAmelCase_     )) ** 2     )     )

def       _lowerCamelCase				(							UpperCAmelCase_ :       Vector,	UpperCAmelCase_ :       Vector     )	-> VectorOut:






	"""simple docstring"""





	return sum((va - va) ** 2 for va, va in zip(UpperCAmelCase_,	UpperCAmelCase_     )     ) ** (1 / 2)


if __name__ == "__main__":

			def       _lowerCamelCase				(							)	-> None:






				"""simple docstring"""





				from timeit import timeit

				print("Without Numpy"     )
				print(
				    timeit(
				        "euclidean_distance_no_np([1, 2, 3], [4, 5, 6])",	number=10000,	globals=globals(),	)     )
				print("With Numpy"     )
				print(
				    timeit(
				        "euclidean_distance([1, 2, 3], [4, 5, 6])",	number=10000,	globals=globals(),	)     )




			benchmark()









"""simple docstring"""







def       _lowerCamelCase				(							UpperCAmelCase_ :       Optional[Any]     )	-> Dict:






	"""simple docstring"""





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

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

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

	return len(UpperCAmelCase_     ) == 0

def       _lowerCamelCase				(							)	-> str:






	"""simple docstring"""





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


if __name__ == "__main__":
			main()




