

'''simple docstring'''



import enum
import shutil
import sys


UpperCAmelCase :       List[Any]			   =     shutil.get_terminal_size()

UpperCAmelCase :       Any			   =     {'''UP''': '''A''', '''DOWN''': '''B''', '''RIGHT''': '''C''', '''LEFT''': '''D'''}







class 						lowerCAmelCase__   (      enum.Enum					):



 """simple docstring"""



 lowerCAmelCase__  					=      0
 lowerCAmelCase__  					=      1







def    a__       (  a__      ,    a__=""						):




     """simple docstring"""


     sys.stdout.write(str(__snake_case						) + end						)
     sys.stdout.flush()







def    a__       (  a__      ,    a__      ,    a__=""						):




     """simple docstring"""


     forceWrite(F'\u001b[{color}m{content}\u001b[0m'      ,    __snake_case						)







def    a__       (  ):




     """simple docstring"""


     forceWrite("""\r"""						)







def    a__       (  a__      ,    a__						):




     """simple docstring"""


     forceWrite(F'\033[{num_lines}{CURSOR_TO_CHAR[direction.upper()]}'						)







def    a__       (  ):




     """simple docstring"""


     forceWrite(""" """ * TERMINAL_WIDTH						)
     reset_cursor()







def    a__       (  ):




     """simple docstring"""


     reset_cursor()
     forceWrite("""-""" * TERMINAL_WIDTH						)













'''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						: Tuple      =       3
     __A						: Optional[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()