
import numpy as np
def 				__magic_name__(					UpperCAmelCase__   :					Optional[Any]       ,							UpperCAmelCase__   :					Any="utf-8"       ,							UpperCAmelCase__   :					Union[str, Any]="surrogatepass"  ):
						UpperCamelCase_    :  int				    =    bin(int.from_bytes(text.encode(_A       ,							_A  )       ,							"""big"""  )  )[2:]
						return bits.zfill(8 * ((len(_A  ) + 7) // 8)  )
def 				__magic_name__(					UpperCAmelCase__   :					Tuple       ,							UpperCAmelCase__   :					Optional[int]="utf-8"       ,							UpperCAmelCase__   :					List[str]="surrogatepass"  ):
						UpperCamelCase_    :  str				    =    int(_A       ,							2  )
						return n.to_bytes((n.bit_length() + 7) // 8       ,							"""big"""  ).decode(_A       ,							_A  ) or "\0"
def 				__magic_name__(					UpperCAmelCase__   :					str       ,							UpperCAmelCase__   :					int  ):


						if size_par + len(_A  ) <= 2**size_par - (len(_A  ) - 1):
												raise ValueError("""size of parity don't match with size of data"""  )

						UpperCamelCase_    :  Union[str, Any]				    =    []
						UpperCamelCase_    :  int				    =    []
						UpperCamelCase_    :  Any				    =    [bin(_A  )[2:] for x in range(1       ,							size_par + len(_A  ) + 1  )]

						# sorted information data for the size of the output data
						UpperCamelCase_    :  Dict				    =    []
						# data position template + parity
						UpperCamelCase_    :  Optional[int]				    =    []
						# parity bit counter
						UpperCamelCase_    :  Union[str, Any]				    =    0
						# counter position of data bits
						UpperCamelCase_    :  Any				    =    0

						for x in range(1       ,							size_par + len(_A  ) + 1  ):
												# Performs a template of bit positions - who should be given,
												# and who should be parity
												if qtd_bp < size_par:
																		if (np.log(_A  ) / np.log(2  )).is_integer():
																								data_out_gab.append("""P"""  )
																								UpperCamelCase_    :  List[Any]				    =    qtd_bp + 1
																		else:
																								data_out_gab.append("""D"""  )
												else:
																		data_out_gab.append("""D"""  )

												# Sorts the data to the new output size
												if data_out_gab[-1] == "D":
																		data_ord.append(data[cont_data]  )
																		cont_data += 1
												else:
																		data_ord.append(_A  )

    # Calculates parity
						UpperCamelCase_    :  str				    =    0  # parity bit counter
						for bp in range(1       ,							size_par + 1  ):
												# Bit counter one for a given parity
												UpperCamelCase_    :  Union[str, Any]				    =    0
												# counter to control the loop reading
												UpperCamelCase_    :  int				    =    0
												for x in data_ord:
																		if x is not None:
																								try:
																														UpperCamelCase_    :  Dict				    =    (bin_pos[cont_loop])[-1 * (bp)]
																								except IndexError:
																														UpperCamelCase_    :  Union[str, Any]				    =    """0"""
																								if aux == "1" and x == "1":
																														cont_bo += 1
																		cont_loop += 1
												parity.append(cont_bo % 2  )

												qtd_bp += 1

						# Mount the message
						UpperCamelCase_    :  Union[str, Any]				    =    0  # parity bit counter
						for x in range(0       ,							size_par + len(_A  )  ):
												if data_ord[x] is None:
																		data_out.append(str(parity[cont_bp]  )  )
																		cont_bp += 1
												else:
																		data_out.append(data_ord[x]  )

						return data_out







def 				__magic_name__(					UpperCAmelCase__   :					Union[str, Any]       ,							UpperCAmelCase__   :					List[str]  ):
						UpperCamelCase_    :  Optional[Any]				    =    []
						# Parity bit counter
						UpperCamelCase_    :  Tuple				    =    0
						# Counter p data bit reading
						UpperCamelCase_    :  Union[str, Any]				    =    0
						# list of parity received
						UpperCamelCase_    :  Any				    =    []
						UpperCamelCase_    :  List[Any]				    =    []

						for x in range(1       ,							len(_A  ) + 1  ):
												# Performs a template of bit positions - who should be given,
												#  and who should be parity
												if qtd_bp < size_par and (np.log(_A  ) / np.log(2  )).is_integer():
																		data_out_gab.append("""P"""  )
																		UpperCamelCase_    :  int				    =    qtd_bp + 1
												else:
																		data_out_gab.append("""D"""  )

												# Sorts the data to the new output size
												if data_out_gab[-1] == "D":
																		data_output.append(data[cont_data]  )
												else:
																		parity_received.append(data[cont_data]  )
												cont_data += 1

						# -----------calculates the parity with the data
						UpperCamelCase_    :  List[str]				    =    []
						UpperCamelCase_    :  Tuple				    =    []
						UpperCamelCase_    :  int				    =    [bin(_A  )[2:] for x in range(1       ,							size_par + len(_A  ) + 1  )]

						#  sorted information data for the size of the output data
						UpperCamelCase_    :  Optional[Any]				    =    []
						# Data position feedback + parity
						UpperCamelCase_    :  List[str]				    =    []
						# Parity bit counter
						UpperCamelCase_    :  List[Any]				    =    0
						# Counter p data bit reading
						UpperCamelCase_    :  Tuple				    =    0

						for x in range(1       ,							size_par + len(_A  ) + 1  ):
												# Performs a template position of bits - who should be given,
												# and who should be parity
												if qtd_bp < size_par and (np.log(_A  ) / np.log(2  )).is_integer():
																		data_out_gab.append("""P"""  )
																		UpperCamelCase_    :  Dict				    =    qtd_bp + 1
												else:
																		data_out_gab.append("""D"""  )

												# Sorts the data to the new output size
												if data_out_gab[-1] == "D":
																		data_ord.append(data_output[cont_data]  )
																		cont_data += 1
												else:
																		data_ord.append(_A  )

    # Calculates parity
						UpperCamelCase_    :  Union[str, Any]				    =    0  # parity bit counter
						for bp in range(1       ,							size_par + 1  ):
												# Bit counter one for a certain parity
												UpperCamelCase_    :  Optional[int]				    =    0
												# Counter to control loop reading
												UpperCamelCase_    :  Optional[int]				    =    0
												for x in data_ord:
																		if x is not None:
																								try:
																														UpperCamelCase_    :  Optional[int]				    =    (bin_pos[cont_loop])[-1 * (bp)]
																								except IndexError:
																														UpperCamelCase_    :  Any				    =    """0"""
																								if aux == "1" and x == "1":
																														cont_bo += 1
																		cont_loop += 1
												parity.append(str(cont_bo % 2  )  )

												qtd_bp += 1

						# Mount the message
						UpperCamelCase_    :  Any				    =    0  # Parity bit counter
						for x in range(0       ,							size_par + len(_A  )  ):
												if data_ord[x] is None:
																		data_out.append(str(parity[cont_bp]  )  )
																		cont_bp += 1
												else:
																		data_out.append(data_ord[x]  )

						UpperCamelCase_    :  List[str]				    =    parity_received == parity
						return data_output, ack






'''simple docstring'''


from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime




class 						__snake_case (						_a  ):




		def __init__(     self				:Optional[Any] ,						*_SCREAMING_SNAKE_CASE				:Union[str, Any] ,						**_SCREAMING_SNAKE_CASE				:List[Any])				-> List[str]:






								'''simple docstring'''






								super().__init__(*_SCREAMING_SNAKE_CASE ,						**_SCREAMING_SNAKE_CASE)




		def   _snake_case  (     self				:Union[str, Any] ,						_SCREAMING_SNAKE_CASE				:Union[str, Any] ,						_SCREAMING_SNAKE_CASE				:List[Any])				-> Optional[int]:






								'''simple docstring'''






								UpperCamelCase_    :  Optional[Any]				    =    (
								    next_prime(value % self.size_table)
								    if not is_prime(value % self.size_table)
								    else value % self.size_table
								)  # gt = bigger than
								return next_prime_gt - (data % next_prime_gt)




		def   _snake_case  (     self				:List[str] ,						_SCREAMING_SNAKE_CASE				:Optional[int] ,						_SCREAMING_SNAKE_CASE				:Any ,						_SCREAMING_SNAKE_CASE				:int)				-> Dict:






								'''simple docstring'''






								return (increment * self.__hash_function_a(_SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE)) % self.size_table





		def   _snake_case  (     self				:Tuple ,						_SCREAMING_SNAKE_CASE				:Any ,						_SCREAMING_SNAKE_CASE				:int=None)				-> List[Any]:






								'''simple docstring'''






								UpperCamelCase_    :  Optional[Any]				    =    1
								UpperCamelCase_    :  str				    =    self.hash_function(_SCREAMING_SNAKE_CASE)

								while self.values[new_key] is not None and self.values[new_key] != key:
														UpperCamelCase_    :  int				    =    (
														    self.__hash_double_function(_SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE ,						_SCREAMING_SNAKE_CASE)
														    if self.balanced_factor() >= self.lim_charge
														    else None
														)
														if new_key is None:
																				break
														else:
																				i += 1

								return new_key




