

import itertools
import math

def 		UpperCamelCase   (lowercase_:					int   )	-> bool:

	if 1 < number < 4:
		# 2 and 3 are primes
		return True
	elif number < 2 or number % 2 == 0 or number % 3 == 0:
		# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
		return False

	# All primes number are in format of 6k +/- 1
	for i in range(5       , int(math.sqrt(lowercase_   ) + 1   )       , 6   ):
		if number % i == 0 or number % (i + 2) == 0:
			return False
	return True

def 		UpperCamelCase   ()	-> Dict:
	A__				:       Optional[int]	  =						2
	while True:
		if is_prime(lowercase_   ):
			yield num
		num += 1

def 		UpperCamelCase   (lowercase_:					int = 10001   )	-> int:
	return next(itertools.islice(prime_generator()       , nth - 1       , lowercase_   )   )


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






def 		UpperCamelCase   (lowercase_:					str   )	-> Optional[Any]:
	A__				:       Optional[int]	  =						[]
	A__				:       Optional[int]	  =						set({"""(""", """[""", """{"""}   )
	A__				:       str	  =						set({""")""", """]""", """}"""}   )
	A__				:       Optional[Any]	  =						{"""{""": """}""", """[""": """]""", """(""": """)"""}

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

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

	return len(lowercase_   ) == 0

def 		UpperCamelCase   ()	-> List[str]:
	A__				:       Optional[Any]	  =						input("""Enter sequence of brackets: """   )
	if is_balanced(lowercase_   ):
		print(lowercase_       , """is balanced"""   )
	else:
		print(lowercase_       , """is not balanced"""   )


if __name__ == "__main__":
	main()



