






from __future__ import annotations

import random
from collections.abc import Iterable
from typing import Any, Generic, TypeVar

UpperCamelCase__						:      List[Any]								=					TypeVar("""T""", bound=bool)







class 				lowerCamelCase_     (	Generic[T]     ):
							def __init__(						self		:					int							,__lowerCamelCase		:					List[Any]					):





								'''simple docstring'''



								a		=			value
								a		=			None
								a		=			None
							@property
							def  SCREAMING_SNAKE_CASE_ (						self		:					Union[str, Any]					):





								'''simple docstring'''



								return self._value




							@staticmethod
							def  SCREAMING_SNAKE_CASE_ (						__lowerCamelCase		:					Dict							,__lowerCamelCase		:					Dict					):





								'''simple docstring'''



								if not roota:
									return roota

								if not roota:
									return roota

								if roota.value > roota.value:
									a		=			roota, roota

								if random.choice([True, False]					):
									a		=			roota.right, roota.left

								a		=			RandomizedHeapNode.merge(roota.left							,__a					)

								return roota







class 				lowerCamelCase_     (	Generic[T]     ):
							def __init__(						self		:					Optional[Any]							,__lowerCamelCase		:					List[Any] = ()					):





								'''simple docstring'''



								a		=			None

								if data:
									for item in data:
										self.insert(__a					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					Optional[Any]							,__lowerCamelCase		:					Any					):





								'''simple docstring'''



								a		=			RandomizedHeapNode.merge(self._root							,RandomizedHeapNode(__a					)					)
							def  SCREAMING_SNAKE_CASE_ (						self		:					str					):





								'''simple docstring'''



								a		=			self.top()

								if self._root is None:
									return None

								a		=			RandomizedHeapNode.merge(self._root.left							,self._root.right					)

								return result
							def  SCREAMING_SNAKE_CASE_ (						self		:					List[Any]					):





								'''simple docstring'''



								if not self._root:
									raise IndexError('''Can\'t get top element for the empty heap.'''					)
								return self._root.value
							def  SCREAMING_SNAKE_CASE_ (						self		:					Any					):





								'''simple docstring'''



								a		=			None
							def  SCREAMING_SNAKE_CASE_ (						self		:					List[str]					):





								'''simple docstring'''



								a		=			[]
								while self:
									result.append(self.pop()					)

								return result




							def __bool__(						self		:					Optional[int]					):





								'''simple docstring'''



								return self._root is not None


if __name__ == "__main__":
						import doctest

						doctest.testmod()













import numpy as np





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_="utf-8",  snake_case_="surrogatepass"  )   ->  List[str]:


	"""simple docstring"""



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





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_="utf-8",  snake_case_="surrogatepass"  )   ->  int:


	"""simple docstring"""



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





def   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  List[Any]:


	"""simple docstring"""



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

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

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

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

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

		qtd_bp += 1

	# Mount the message
	a		=			0  # parity bit counter
	for x in range(0,  size_par + len(snake_case_  )  ):
		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   SCREAMING_SNAKE_CASE__						(   snake_case_,  snake_case_  )   ->  str:


	"""simple docstring"""



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

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

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

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

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

	a		=			parity_received == parity
	return data_output, ack





