




import numpy as np





def 	__A	(			__lowerCamelCase							,    __lowerCamelCase="utf-8"							,    __lowerCamelCase="surrogatepass"					)   -> str:
	a		       =							bin(int.from_bytes(text.encode(__lowerCamelCase							,    __lowerCamelCase					)							,    """big"""					)					)[2:]
	return bits.zfill(8 * ((len(__lowerCamelCase					) + 7) // 8)					)





def 	__A	(			__lowerCamelCase							,    __lowerCamelCase="utf-8"							,    __lowerCamelCase="surrogatepass"					)   -> Any:
	a		       =							int(__lowerCamelCase							,    2					)
	return n.to_bytes((n.bit_length() + 7) // 8							,    """big"""					).decode(__lowerCamelCase							,    __lowerCamelCase					) or "\0"





def 	__A	(			__lowerCamelCase							,    __lowerCamelCase					)   -> Optional[int]:
	if size_par + len(__lowerCamelCase					) <= 2**size_par - (len(__lowerCamelCase					) - 1):
		raise ValueError("""size of parity don't match with size of data"""					)

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

    # 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(__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 	__A	(			__lowerCamelCase							,    __lowerCamelCase					)   -> Union[str, Any]:
	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(__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"""					)
			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(__lowerCamelCase					)[2:] for x in range(1							,    size_par + len(__lowerCamelCase					) + 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(__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"""					)
			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(__lowerCamelCase					)

    # 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(__lowerCamelCase					)					):
		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







from itertools import combinations, product





def 	__A	(			__lowerCamelCase							,    __lowerCamelCase							,    __lowerCamelCase							,    __lowerCamelCase					)   -> bool:
	if xa == ya == 0 or xa == ya == 0:
		return False
	a		       =							xa * xa + ya * ya
	a		       =							xa * xa + ya * ya
	a		       =							(xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
	return (
	    a_square + b_square == c_square
	    or a_square + c_square == b_square
	    or b_square + c_square == a_square
	)





def 	__A	(			__lowerCamelCase = 50					)   -> int:
	return sum(
	    1
	    for pta, pta in combinations(product(range(limit + 1					)							,    repeat=2					)							,    2					)
	    if is_right(*__lowerCamelCase							,    *__lowerCamelCase					)					)


if __name__ == "__main__":
		print(F'{solution() = }')

