
import numpy as np


def  A			(   lowercase       ,			lowercase="utf-8"       ,			lowercase="surrogatepass"					)  ->    Dict:
		'''simple docstring'''

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


def  A			(   lowercase       ,			lowercase="utf-8"       ,			lowercase="surrogatepass"					)  ->    Any:
		'''simple docstring'''

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


def  A			(   lowercase       ,			lowercase					)  ->    Optional[Any]:
		'''simple docstring'''

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

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

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

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

    # Calculates parity
		UpperCamelCase            =	0  # parity bit counter
		for bp in range(1       ,			size_par + 1					):
				# Bit counter one for a given parity
				UpperCamelCase            =	0
				# counter to control the loop reading
				UpperCamelCase            =	0
				for x in data_ord:
						if x is not None:
								try:
										UpperCamelCase            =	(bin_pos[cont_loop])[-1 * (bp)]
								except IndexError:
										UpperCamelCase            =	'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            =	0  # parity bit counter
		for x in range(0       ,			size_par + len(lowercase					)					):
				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  A			(   lowercase       ,			lowercase					)  ->    Optional[Any]:
		'''simple docstring'''

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

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

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

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

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

		UpperCamelCase            =	parity_received == parity
		return data_output, ack


from __future__ import annotations




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						):




			"""simple docstring"""


			if not all((nth_term, start_term_a, common_ratio_r)							):
						return []
			UpperCAmelCase__		:list[float | int] 		=    []
			UpperCAmelCase__		:str 		=    1
			UpperCAmelCase__		:Any 		=    common_ratio_r
			for _ in range(int(SCREAMING_SNAKE_CASE							)							):
						if not series:
									series.append(SCREAMING_SNAKE_CASE							)
						else:
									power += 1
									series.append(float(start_term_a * multiple							)							)
									UpperCAmelCase__		:str 		=    pow(float(SCREAMING_SNAKE_CASE							)     ,						SCREAMING_SNAKE_CASE							)
			return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__snake_case					:							Optional[int]           =							float(input('Enter the last number (n term) of the Geometric Series'))
						__snake_case					:							List[str]           =							float(input('Enter the starting term (a) of the Geometric Series'))
						__snake_case					:							Optional[int]           =							float(
						    input('Enter the common ratio between two terms (r) of the Geometric Series')
						)
						print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
						print(geometric_series(nth_term, start_term_a, common_ratio_r))





