



'''simple docstring'''






import math


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


def 				snake_case_  (      _lowerCAmelCase						:		float = 0.1						)   ->     int:
							UpperCAmelCase				: Optional[int]											=	3
							UpperCAmelCase				: 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(_lowerCAmelCase						)
														j += 2
							return j


if __name__ == "__main__":
						import doctest

						doctest.testmod()










'''simple docstring'''






import numpy as np

UpperCamelCase__:     Any										=    [
    ["a", "b", "c", "d", "e"],
    ["f", "g", "h", "i", "k"],
    ["l", "m", "n", "o", "p"],
    ["q", "r", "s", "t", "u"],
    ["v", "w", "x", "y", "z"],
]

class        SCREAMING_SNAKE_CASE:







	"""simple docstring"""






	def __init__(		self    :  Any	)    ->	None:
								UpperCAmelCase				: Optional[int]											=	np.array(__snake_case	)







	def   A			(		self    :  str	,    __snake_case    :  str	)    ->	np.ndarray:
								UpperCAmelCase							,	UpperCAmelCase				: Dict											=	np.where(letter == self.SQUARE	)
								UpperCAmelCase				: Dict											=	np.concatenate([indexa + 1, indexa + 1]	)
								return indexes







	def   A			(		self    :  Union[str, Any]	,    __snake_case    :  int	,    __snake_case    :  int	)    ->	str:
								UpperCAmelCase				: int											=	self.SQUARE[indexa - 1, indexa - 1]
								return letter







	def   A			(		self    :  List[Any]	,    __snake_case    :  str	)    ->	str:
								UpperCAmelCase				: Any											=	message.lower()
								UpperCAmelCase				: List[Any]											=	message.replace(''' '''	,    ''''''	)
								UpperCAmelCase				: List[Any]											=	message.replace('''j'''	,    '''i'''	)

								UpperCAmelCase				: Tuple											=	np.empty((2, len(__snake_case	))	)
								for letter_index in range(len(__snake_case	)	):
															UpperCAmelCase				: str											=	self.letter_to_numbers(message[letter_index]	)

															UpperCAmelCase				: Any											=	numbers[0]
															UpperCAmelCase				: Optional[Any]											=	numbers[1]

								UpperCAmelCase				: List[str]											=	first_step.reshape(2 * len(__snake_case	)	)
								UpperCAmelCase				: Union[str, Any]											=	''''''
								for numbers_index in range(len(__snake_case	)	):
															UpperCAmelCase				: Dict											=	int(second_step[numbers_index * 2]	)
															UpperCAmelCase				: Union[str, Any]											=	int(second_step[(numbers_index * 2) + 1]	)
															UpperCAmelCase				: Dict											=	self.numbers_to_letter(__snake_case	,    __snake_case	)
															UpperCAmelCase				: int											=	encoded_message + letter

								return encoded_message







	def   A			(		self    :  Optional[Any]	,    __snake_case    :  str	)    ->	str:
								UpperCAmelCase				: str											=	message.lower()
								message.replace(''' '''	,    ''''''	)
								UpperCAmelCase				: Optional[int]											=	np.empty(2 * len(__snake_case	)	)
								for letter_index in range(len(__snake_case	)	):
															UpperCAmelCase				: int											=	self.letter_to_numbers(message[letter_index]	)
															UpperCAmelCase				: Optional[Any]											=	numbers[0]
															UpperCAmelCase				: List[Any]											=	numbers[1]

								UpperCAmelCase				: Tuple											=	first_step.reshape((2, len(__snake_case	))	)
								UpperCAmelCase				: str											=	''''''
								for numbers_index in range(len(__snake_case	)	):
															UpperCAmelCase				: Tuple											=	int(second_step[0, numbers_index]	)
															UpperCAmelCase				: List[str]											=	int(second_step[1, numbers_index]	)
															UpperCAmelCase				: Union[str, Any]											=	self.numbers_to_letter(__snake_case	,    __snake_case	)
															UpperCAmelCase				: Union[str, Any]											=	decoded_message + letter

								return decoded_message





