
import numpy as np



def 			UpperCamelCase       (				lowerCAmelCase__					,     lowerCAmelCase__="utf-8"					,     lowerCAmelCase__="surrogatepass"						):
					'''simple docstring'''
					lowercase		      =		bin(int.from_bytes(text.encode(__UpperCamelCase					,     __UpperCamelCase						)					,     '''big'''						)						)[2:]
					return bits.zfill(8 * ((len(__UpperCamelCase						) + 7) // 8)						)



def 			UpperCamelCase       (				lowerCAmelCase__					,     lowerCAmelCase__="utf-8"					,     lowerCAmelCase__="surrogatepass"						):
					'''simple docstring'''
					lowercase		      =		int(__UpperCamelCase					,     2						)
					return n.to_bytes((n.bit_length() + 7) // 8					,     '''big'''						).decode(__UpperCamelCase					,     __UpperCamelCase						) or "\0"



def 			UpperCamelCase       (				lowerCAmelCase__					,     lowerCAmelCase__						):
					'''simple docstring'''





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

					lowercase		      =		[]
					lowercase		      =		[]
					lowercase		      =		[bin(__UpperCamelCase						)[2:] for x in range(1					,     size_par + len(__UpperCamelCase						) + 1						)]

					# sorted information data for the size of the output data
					lowercase		      =		[]
					# data position template + parity
					lowercase		      =		[]
					# parity bit counter
					lowercase		      =		0
					# counter position of data bits
					lowercase		      =		0

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

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

										qtd_bp += 1

					# Mount the message
					lowercase		      =		0  # parity bit counter
					for x in range(0					,     size_par + len(__UpperCamelCase						)						):
										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 			UpperCamelCase       (				lowerCAmelCase__					,     lowerCAmelCase__						):
					'''simple docstring'''
					lowercase		      =		[]
					# Parity bit counter
					lowercase		      =		0
					# Counter p data bit reading
					lowercase		      =		0
					# list of parity received
					lowercase		      =		[]
					lowercase		      =		[]

					for x in range(1					,     len(__UpperCamelCase						) + 1						):
										# Performs a template of bit positions - who should be given,
										#  and who should be parity
										if qtd_bp < size_par and (np.log(__UpperCamelCase						) / np.log(2						)).is_integer():
															data_out_gab.append('''P'''						)
															lowercase		      =		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
					lowercase		      =		[]
					lowercase		      =		[]
					lowercase		      =		[bin(__UpperCamelCase						)[2:] for x in range(1					,     size_par + len(__UpperCamelCase						) + 1						)]

					#  sorted information data for the size of the output data
					lowercase		      =		[]
					# Data position feedback + parity
					lowercase		      =		[]
					# Parity bit counter
					lowercase		      =		0
					# Counter p data bit reading
					lowercase		      =		0

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

										# Calculates parity
					lowercase		      =		0  # parity bit counter
					for bp in range(1					,     size_par + 1						):
										# Bit counter one for a certain parity
										lowercase		      =		0
										# Counter to control loop reading
										lowercase		      =		0
										for x in data_ord:
															if x is not None:
																				try:
																									lowercase		      =		(bin_pos[cont_loop])[-1 * (bp)]
																				except IndexError:
																									lowercase		      =		'''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
					lowercase		      =		0  # Parity bit counter
					for x in range(0					,     size_par + len(__UpperCamelCase						)						):
										if data_ord[x] is None:
															data_out.append(str(parity[cont_bp]						)						)
															cont_bp += 1
										else:
															data_out.append(data_ord[x]						)

					lowercase		      =		parity_received == parity
					return data_output, ack





from hashlib import mda, shaaaa

__lowerCamelCase     :					Dict				  =						(shaaaa, mda)







class __snake_case							:




   def __init__(       self     :							str			,      _lowercase     :							int = 8 ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= 0B0
     SCREAMING_SNAKE_CASE__     				= size




   def       __a		(       self     :							List[str]			,      _lowercase     :							str ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= self.hash_(_lowercase )
     self.bitarray |= h




   def       __a		(       self     :							int			,      _lowercase     :							str ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= self.hash_(_lowercase )
     return (h & self.bitarray) == h




   def __contains__(       self     :							Union[str, Any]			,      _lowercase     :							str ):



     """simple docstring"""






     return self.exists(_lowercase )




   def       __a		(       self     :							Dict			,      _lowercase     :							int ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= bin(_lowercase )[2:]
     return res.zfill(self.size )




   @property
   def       __a		(       self     :							Tuple ):



     """simple docstring"""






     return self.format_bin(self.bitarray )




   def       __a		(       self     :							Optional[int]			,      _lowercase     :							str ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= 0B0
     for func in HASH_FUNCTIONS:
       SCREAMING_SNAKE_CASE__     				= (
           int.from_bytes(func(value.encode() ).digest()			,      """little""" ) % self.size
       )
       res |= 2**position
     return res




   def       __a		(       self     :							str			,      _lowercase     :							str ):



     """simple docstring"""






     return self.format_bin(self.hash_(_lowercase ) )




   @property
   def       __a		(       self     :							Union[str, Any] ):



     """simple docstring"""






     SCREAMING_SNAKE_CASE__     				= bin(self.bitarray ).count("""1""" )
     return (n_ones / self.size) ** len(_lowercase )
