




import math

def 	A ( _SCREAMING_SNAKE_CASE       )      ->					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(UpperCAmelCase_       ) + 1       )					,6       ):
              if number % i == 0 or number % (i + 2) == 0:
                     return False
       return True

def 	A ( _SCREAMING_SNAKE_CASE = 1_0001       )      ->					int:





       try:
              lowerCamelCase  : Union[str, Any]     					=   int(UpperCAmelCase_       )
       except (TypeError, ValueError):
              raise TypeError("Parameter nth must be int or castable to int."       ) from None
       if nth <= 0:
              raise ValueError("Parameter nth must be greater than or equal to one."       )
       lowerCamelCase  : Any     					=   []
       lowerCamelCase  : Union[str, Any]     					=   2
       while len(UpperCAmelCase_       ) < nth:
              if is_prime(UpperCAmelCase_       ):
                     primes.append(UpperCAmelCase_       )
                     num += 1
              else:
                     num += 1
       return primes[len(UpperCAmelCase_       ) - 1]


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











"""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()




