






def 	_UpperCamelCase       (    UpperCamelCase_       :					Optional[int]		)  ->   List[Any]:

						"""simple docstring"""



						lowerCAmelCase__    						=						[]
						lowerCAmelCase__    						=						set({'(', '[', '{'}		)
						lowerCAmelCase__    						=						set({')', ']', '}'}		)
						lowerCAmelCase__    						=						{'{': '}', '[': ']', '(': ')'}

						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 	_UpperCamelCase       (    )  ->   int:

						"""simple docstring"""



						lowerCAmelCase__    						=						input('Enter sequence of brackets: '		)
						if is_balanced(UpperCamelCase_		):
												print(UpperCamelCase_    ,       'is balanced'		)
						else:
												print(UpperCamelCase_    ,       'is not balanced'		)


if __name__ == "__main__":
					main()













from __future__ import annotations

from functools import lru_cache
from math import ceil

__snake_case    :    Union[str, Any]         =     1_00

__snake_case    :    Tuple         =     set(range(3, NUM_PRIMES, 2))
primes.add(2)
__snake_case    :    int

for prime in range(3, ceil(NUM_PRIMES**0.5), 2):
					if prime not in primes:
										continue
					primes.difference_update(set(range(prime * prime, NUM_PRIMES, prime)))







@lru_cache(maxsize=100		)
def 	_UpperCamelCase   (    UpperCamelCase_       :					int		)  ->   set[int]:

						"""simple docstring"""



						if number_to_partition < 0:
												return set()
						elif number_to_partition == 0:
												return {1}

						lowerCAmelCase__    						=						set()
						lowerCAmelCase__    						=						42
						lowerCAmelCase__    						=						42

						for prime in primes:
												if prime > number_to_partition:
																		continue
												for sub in partition(number_to_partition - prime		):
																		ret.add(sub * prime		)

						return ret







def 	_UpperCamelCase   (    UpperCamelCase_       :					int = 5000		)  ->   int | None:

						"""simple docstring"""



						for number_to_partition in range(1    ,       UpperCamelCase_		):
												if len(partition(UpperCamelCase_		)		) > number_unique_partitions:
																		return number_to_partition
						return None


if __name__ == "__main__":
					print(f'{solution() = }')





