code: 
  
  
  
  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
  
  
  
  
  
  
  
style_context: 
  
  
  
  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() = }''')
  
  
  
  
  
  
  