





'''simple docstring'''




from __future__ import annotations

from typing import Any






def 	_lowerCAmelCase      (  __snake_case  :			List[str]      )					->					List[str]:
					if not postfix_notation:
										return 0

					__A						:			Tuple								=	{'+', '-', '*', '/'}
					__A						:			Optional[Any]								=	[]

					for token in postfix_notation:
										if token in operations:
															__A			,__A						:			Optional[Any]								=	stack.pop(), stack.pop()
															if token == "+":
																				stack.append(a + b      )
															elif token == "-":
																				stack.append(a - b      )
															elif token == "*":
																				stack.append(a * b      )
															else:
																				if a * b < 0 and a % b != 0:
																									stack.append(a // b + 1      )
																				else:
																									stack.append(a // b      )
										else:
															stack.append(int(__snake_case      )      )

					return stack.pop()


if __name__ == "__main__":
		import doctest

		doctest.testmod()






'''simple docstring'''




import math






def 	_lowerCAmelCase      (  __snake_case  :			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(__snake_case      ) + 1      )			,							6      ):
          if number % i == 0 or number % (i + 2) == 0:
               return False
     return True






def 	_lowerCAmelCase      (  __snake_case  :			float = 0.1      )					->					int:
     __A						:			Dict								=	3
     __A						:			int								=	3

     while primes / (2 * j - 1) >= ratio:
          for i in range(j * j + j + 1			,							(j + 2) * (j + 2)			,							j + 1      ):
               primes += is_prime(__snake_case      )
          j += 2
     return j


if __name__ == "__main__":
  import doctest

  doctest.testmod()