



import numpy as np






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






def 			__lowercase     (				a__							,     a__="utf-8"							,     a__="surrogatepass"     )       ->				str:
							__SCREAMING_SNAKE_CASE								=      int(a__							,     2     )
							return n.to_bytes((n.bit_length() + 7) // 8							,     'big'     ).decode(a__							,     a__     ) or "\0"






def 			__lowercase     (				a__							,     a__     )       ->				Union[str, Any]:
							if size_par + len(a__     ) <= 2**size_par - (len(a__     ) - 1):
														raise ValueError('size of parity don\'t match with size of data'     )

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

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

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

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

														qtd_bp += 1

							# Mount the message
							__SCREAMING_SNAKE_CASE								=      0  # parity bit counter
							for x in range(0							,     size_par + len(a__     )     ):
														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 			__lowercase     (				a__							,     a__     )       ->				Optional[int]:
							__SCREAMING_SNAKE_CASE								=      []
							# Parity bit counter
							__SCREAMING_SNAKE_CASE								=      0
							# Counter p data bit reading
							__SCREAMING_SNAKE_CASE								=      0
							# list of parity received
							__SCREAMING_SNAKE_CASE								=      []
							__SCREAMING_SNAKE_CASE								=      []

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

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

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

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

							__SCREAMING_SNAKE_CASE								=      parity_received == parity
							return data_output, ack











from itertools import combinations, product






def 			__lowercase     (				a__							,     a__							,     a__							,     a__     )       ->				bool:
							if xa == ya == 0 or xa == ya == 0:
														return False
							__SCREAMING_SNAKE_CASE								=      xa * xa + ya * ya
							__SCREAMING_SNAKE_CASE								=      xa * xa + ya * ya
							__SCREAMING_SNAKE_CASE								=      (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 			__lowercase     (				a__ = 50     )       ->				int:
							return sum(
							    1
							    for pta, pta in combinations(product(range(limit + 1     )							,     repeat=2     )							,     2     )
							    if is_right(*a__							,     *a__     )     )


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






