
'''simple docstring'''

import numpy as np


def 		_UpperCAmelCase			(					_lowerCamelCase  :    List[str]					, _lowerCamelCase  :    str="utf-8"					, _lowerCamelCase  :    Optional[Any]="surrogatepass"						)      ->  Optional[Any]:
  _lowerCAmelCase    :					str							=   bin(int.from_bytes(text.encode(_lowerCamelCase					, _lowerCamelCase						)					, """big"""						)						)[2:]
  return bits.zfill(8 * ((len(_lowerCamelCase						) + 7) // 8)						)


def 		_UpperCAmelCase			(					_lowerCamelCase  :    int					, _lowerCamelCase  :    int="utf-8"					, _lowerCamelCase  :    List[Any]="surrogatepass"						)      ->  Tuple:
  _lowerCAmelCase    :					Any							=   int(_lowerCamelCase					, 2						)
  return n.to_bytes((n.bit_length() + 7) // 8					, """big"""						).decode(_lowerCamelCase					, _lowerCamelCase						) or "\0"


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

  _lowerCAmelCase    :					str							=   []
  _lowerCAmelCase    :					Optional[Any]							=   []
  _lowerCAmelCase    :					str							=   [bin(_lowerCamelCase						)[2:] for x in range(1					, size_par + len(_lowerCamelCase						) + 1						)]

  # sorted information data for the size of the output data
  _lowerCAmelCase    :					Tuple							=   []
  # data position template + parity
  _lowerCAmelCase    :					Tuple							=   []
  # parity bit counter
  _lowerCAmelCase    :					List[Any]							=   0
  # counter position of data bits
  _lowerCAmelCase    :					List[str]							=   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"""						)
        _lowerCAmelCase    :					int							=   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
  _lowerCAmelCase    :					Tuple							=   0  # parity bit counter
  for bp in range(1					, size_par + 1						):
    # Bit counter one for a given parity
    _lowerCAmelCase    :					Any							=   0
    # counter to control the loop reading
    _lowerCAmelCase    :					Tuple							=   0
    for x in data_ord:
      if x is not None:
        try:
          _lowerCAmelCase    :					Dict							=   (bin_pos[cont_loop])[-1 * (bp)]
        except IndexError:
          _lowerCAmelCase    :					Tuple							=   """0"""
        if aux == "1" and x == "1":
          cont_bo += 1
      cont_loop += 1
    parity.append(cont_bo % 2						)

    qtd_bp += 1

  # Mount the message
  _lowerCAmelCase    :					List[Any]							=   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 		_UpperCAmelCase			(					_lowerCamelCase  :    List[Any]					, _lowerCamelCase  :    List[str]						)      ->  Dict:
  _lowerCAmelCase    :					str							=   []
  # Parity bit counter
  _lowerCAmelCase    :					Tuple							=   0
  # Counter p data bit reading
  _lowerCAmelCase    :					Dict							=   0
  # list of parity received
  _lowerCAmelCase    :					str							=   []
  _lowerCAmelCase    :					Optional[Any]							=   []

  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"""						)
      _lowerCAmelCase    :					List[str]							=   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
  _lowerCAmelCase    :					int							=   []
  _lowerCAmelCase    :					Optional[int]							=   []
  _lowerCAmelCase    :					Optional[Any]							=   [bin(_lowerCamelCase						)[2:] for x in range(1					, size_par + len(_lowerCamelCase						) + 1						)]

  #  sorted information data for the size of the output data
  _lowerCAmelCase    :					Any							=   []
  # Data position feedback + parity
  _lowerCAmelCase    :					Dict							=   []
  # Parity bit counter
  _lowerCAmelCase    :					List[str]							=   0
  # Counter p data bit reading
  _lowerCAmelCase    :					Union[str, Any]							=   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"""						)
      _lowerCAmelCase    :					Union[str, Any]							=   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
  _lowerCAmelCase    :					Union[str, Any]							=   0  # parity bit counter
  for bp in range(1					, size_par + 1						):
    # Bit counter one for a certain parity
    _lowerCAmelCase    :					Dict							=   0
    # Counter to control loop reading
    _lowerCAmelCase    :					str							=   0
    for x in data_ord:
      if x is not None:
        try:
          _lowerCAmelCase    :					int							=   (bin_pos[cont_loop])[-1 * (bp)]
        except IndexError:
          _lowerCAmelCase    :					Any							=   """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
  _lowerCAmelCase    :					Tuple							=   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]						)

  _lowerCAmelCase    :					Optional[Any]							=   parity_received == parity
  return data_output, ack




'''simple docstring'''

from __future__ import annotations


class 					a_					:




       def __init__(       self				,				snake_case_ = 0					):
         _lowerCAmelCase    :					Optional[Any]							=   value
         _lowerCAmelCase    :					Node | None							=   None
         _lowerCAmelCase    :					Node | None							=   None



def 		_UpperCAmelCase			(					_lowerCamelCase  :    Node | None					, _lowerCamelCase  :    Node | None						)      ->  Node | None:
  if treea is None:
    return treea
  if treea is None:
    return treea

  _lowerCAmelCase    :					Any							=   treea.value + treea.value
  _lowerCAmelCase    :					Tuple							=   merge_two_binary_trees(treea.left					, treea.left						)
  _lowerCAmelCase    :					List[str]							=   merge_two_binary_trees(treea.right					, treea.right						)
  return treea


def 		_UpperCAmelCase			(					_lowerCamelCase  :    Node | None						)      ->  None:
  if root:
    print(root.value						)
    print_preorder(root.left						)
    print_preorder(root.right						)


if __name__ == "__main__":
     UpperCamelCase_            =    Node(1)
     UpperCamelCase_            =    Node(2)
     UpperCamelCase_            =    Node(3)
     UpperCamelCase_            =    Node(4)

     UpperCamelCase_            =    Node(2)
     UpperCamelCase_            =    Node(4)
     UpperCamelCase_            =    Node(6)
     UpperCamelCase_            =    Node(9)
     UpperCamelCase_            =    Node(5)

     print("""Tree1 is: """)
     print_preorder(treea)
     print("""Tree2 is: """)
     print_preorder(treea)
     UpperCamelCase_            =    merge_two_binary_trees(treea, treea)
     print("""Merged Tree is: """)
     print_preorder(merged_tree)


