"""simple docstring"""


import numpy as np





def 			lowerCamelCase_ (					__lowerCAmelCase   ,    __lowerCAmelCase="utf-8"   ,    __lowerCAmelCase="surrogatepass"				)							->					Dict:




						'''simple docstring'''



						lowerCamelCase__					=bin(int.from_bytes(text.encode(__lowerCAmelCase   ,    __lowerCAmelCase				)   ,    "big"				)				)[2:]
						return bits.zfill(8 * ((len(__lowerCAmelCase				) + 7) // 8)				)





def 			lowerCamelCase_ (					__lowerCAmelCase   ,    __lowerCAmelCase="utf-8"   ,    __lowerCAmelCase="surrogatepass"				)							->					Optional[Any]:




						'''simple docstring'''



						lowerCamelCase__					=int(__lowerCAmelCase   ,    2				)
						return n.to_bytes((n.bit_length() + 7) // 8   ,    "big"				).decode(__lowerCAmelCase   ,    __lowerCAmelCase				) or "\0"





def 			lowerCamelCase_ (					__lowerCAmelCase   ,    __lowerCAmelCase				)							->					Optional[Any]:




						'''simple docstring'''



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

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

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

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

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

												qtd_bp += 1

						# Mount the message
						lowerCamelCase__					=0  # parity bit counter
						for x in range(0   ,    size_par + len(__lowerCAmelCase				)				):
												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 			lowerCamelCase_ (					__lowerCAmelCase   ,    __lowerCAmelCase				)							->					Optional[Any]:




						'''simple docstring'''



						lowerCamelCase__					=[]
						# Parity bit counter
						lowerCamelCase__					=0
						# Counter p data bit reading
						lowerCamelCase__					=0
						# list of parity received
						lowerCamelCase__					=[]
						lowerCamelCase__					=[]

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

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

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

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

						lowerCamelCase__					=parity_received == parity
						return data_output, ack








from typing import Any





class 		A__				:






	def __init__(	self						)      ->   int:




						"""simple docstring"""






						__magic_name__					:							List[str]		   =							[]
						__magic_name__					:							str		   =							0






	def __str__(	self						)      ->   Union[str, Any]:




						"""simple docstring"""






						__magic_name__					:							str		   =							'''<''' + str(self.stack						)[1:-1] + '''>'''
						return printed






	def  lowercase      (	self				,     lowerCamelCase						)      ->   None:




						"""simple docstring"""






						self.stack.append(lowerCamelCase						)
						__magic_name__					:							Tuple		   =							self.length + 1






	def  lowercase      (	self						)      ->   Any:




						"""simple docstring"""






						self.rotate(1						)
						__magic_name__					:							Union[str, Any]		   =							self.stack[self.length - 1]
						__magic_name__					:							Union[str, Any]		   =							self.stack[:-1]
						self.rotate(self.length - 1						)
						__magic_name__					:							List[Any]		   =							self.length - 1
						return dequeued






	def  lowercase      (	self				,     lowerCamelCase						)      ->   None:




						"""simple docstring"""






						for _ in range(lowerCamelCase						):
											__magic_name__					:							str		   =							self.stack[0]
											__magic_name__					:							Optional[Any]		   =							self.stack[1:]
											self.put(lowerCamelCase						)
											__magic_name__					:							List[Any]		   =							self.length - 1






	def  lowercase      (	self						)      ->   Any:




						"""simple docstring"""






						__magic_name__					:							Optional[int]		   =							self.get()
						self.put(lowerCamelCase						)
						self.rotate(self.length - 1						)
						return front






	def  lowercase      (	self						)      ->   int:




						"""simple docstring"""






						return self.length



