


from __future__ import annotations

from sys import maxsize
from typing import Generic, TypeVar

__UpperCamelCase       :       int						       =				TypeVar("T")

def 			_a  (				SCREAMING_SNAKE_CASE	:				int     ):







 """simple docstring"""



 return (position - 1) // 2

def 			_a  (				SCREAMING_SNAKE_CASE	:				int     ):







 """simple docstring"""



 return (2 * position) + 1

def 			_a  (				SCREAMING_SNAKE_CASE	:				int     ):







 """simple docstring"""



 return (2 * position) + 2

class       __magic_name__	(     Generic[T]):


     def __init__(      self							:     List[str]			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    list[tuple[T, int]]          =   []
      UpperCamelCase__					:    dict[T, int]          =   {}
      UpperCamelCase__					:    int          =   0


     def __len__(      self							:     Optional[int]			)  ->      int:





      '''simple docstring'''






      return self.elements


     def __repr__(      self							:     Dict			)  ->      str:





      '''simple docstring'''






      return str(self.heap			)


     def      UpperCAmelCase__	(      self							:     Optional[Any]			)  ->      bool:





      '''simple docstring'''






      return self.elements == 0


     def      UpperCAmelCase__	(      self							:     int							,	lowerCamelCase__							:     T							,	lowerCamelCase__							:     int			)  ->      None:





      '''simple docstring'''






      self.heap.append((elem, weight)			)
      UpperCamelCase__					:    Dict          =   self.elements
      self.elements += 1
      self._bubble_up(lowerCamelCase__			)


     def      UpperCAmelCase__	(      self							:     Dict			)  ->      T:





      '''simple docstring'''






      if self.elements > 1:
       self._swap_nodes(0							,	self.elements - 1			)
      UpperCamelCase__					:    Dict          =   self.heap.pop()
      del self.position_map[elem]
      self.elements -= 1
      if self.elements > 0:
       UpperCamelCase__					:    Tuple          =   self.heap[0]
       self._bubble_down(lowerCamelCase__			)
      return elem


     def      UpperCAmelCase__	(      self							:     Optional[Any]							,	lowerCamelCase__							:     T							,	lowerCamelCase__							:     int			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    List[Any]          =   self.position_map[elem]
      UpperCamelCase__					:    int          =   (elem, weight)
      if position > 0:
       UpperCamelCase__					:    List[str]          =   get_parent_position(lowerCamelCase__			)
       UpperCamelCase__					:    Union[str, Any]          =   self.heap[parent_position]
       if parent_weight > weight:
        self._bubble_up(lowerCamelCase__			)
       else:
        self._bubble_down(lowerCamelCase__			)
      else:
       self._bubble_down(lowerCamelCase__			)


     def      UpperCAmelCase__	(      self							:     str							,	lowerCamelCase__							:     T			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    int          =   self.position_map[elem]
      if curr_pos == 0:
       return None
      UpperCamelCase__					:    Dict          =   get_parent_position(lowerCamelCase__			)
      UpperCamelCase__					:    int          =   self.heap[curr_pos]
      UpperCamelCase__					:    Dict          =   self.heap[parent_position]
      if parent_weight > weight:
       self._swap_nodes(lowerCamelCase__							,	lowerCamelCase__			)
       return self._bubble_up(lowerCamelCase__			)
      return None


     def      UpperCAmelCase__	(      self							:     Union[str, Any]							,	lowerCamelCase__							:     T			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    str          =   self.position_map[elem]
      UpperCamelCase__					:    Tuple          =   self.heap[curr_pos]
      UpperCamelCase__					:    Dict          =   get_child_left_position(lowerCamelCase__			)
      UpperCamelCase__					:    Tuple          =   get_child_right_position(lowerCamelCase__			)
      if child_left_position < self.elements and child_right_position < self.elements:
       UpperCamelCase__					:    List[str]          =   self.heap[child_left_position]
       UpperCamelCase__					:    List[Any]          =   self.heap[child_right_position]
       if child_right_weight < child_left_weight and child_right_weight < weight:
        self._swap_nodes(lowerCamelCase__							,	lowerCamelCase__			)
        return self._bubble_down(lowerCamelCase__			)
      if child_left_position < self.elements:
       UpperCamelCase__					:    Union[str, Any]          =   self.heap[child_left_position]
       if child_left_weight < weight:
        self._swap_nodes(lowerCamelCase__							,	lowerCamelCase__			)
        return self._bubble_down(lowerCamelCase__			)
      else:
       return None
      if child_right_position < self.elements:
       UpperCamelCase__					:    List[Any]          =   self.heap[child_right_position]
       if child_right_weight < weight:
        self._swap_nodes(lowerCamelCase__							,	lowerCamelCase__			)
        return self._bubble_down(lowerCamelCase__			)
      return None


     def      UpperCAmelCase__	(      self							:     str							,	lowerCamelCase__							:     int							,	lowerCamelCase__							:     int			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    Any          =   self.heap[nodea_pos][0]
      UpperCamelCase__					:    str          =   self.heap[nodea_pos][0]
      UpperCamelCase__					:    Optional[int]          =   (
          self.heap[nodea_pos],
          self.heap[nodea_pos],
      )
      UpperCamelCase__					:    str          =   nodea_pos
      UpperCamelCase__					:    List[str]          =   nodea_pos



class       __magic_name__	(     Generic[T]):


     def __init__(      self							:     List[Any]			)  ->      None:





      '''simple docstring'''






      UpperCamelCase__					:    dict[T, dict[T, int]]          =   {}
      UpperCamelCase__					:    int          =   0


     def __repr__(      self							:     List[str]			)  ->      str:





      '''simple docstring'''






      return str(self.connections			)


     def __len__(      self							:     Any			)  ->      int:





      '''simple docstring'''






      return self.nodes


     def      UpperCAmelCase__	(      self							:     List[str]							,	lowerCamelCase__							:     T			)  ->      None:





      '''simple docstring'''






      if node not in self.connections:
       UpperCamelCase__					:    Optional[int]          =   {}
       self.nodes += 1


     def      UpperCAmelCase__	(      self							:     Dict							,	lowerCamelCase__							:     T							,	lowerCamelCase__							:     T							,	lowerCamelCase__							:     int			)  ->      None:





      '''simple docstring'''






      self.add_node(lowerCamelCase__			)
      self.add_node(lowerCamelCase__			)
      UpperCamelCase__					:    int          =   weight
      UpperCamelCase__					:    Any          =   weight



def 			_a  (				SCREAMING_SNAKE_CASE	:				GraphUndirectedWeighted[T]    , ):







 """simple docstring"""



 UpperCamelCase__					:    dict[T, int]          =   {node: maxsize for node in graph.connections}
 UpperCamelCase__					:    dict[T, T | None]          =   {node: None for node in graph.connections}

 UpperCamelCase__					:    MinPriorityQueue[T]          =   MinPriorityQueue()
 for node, weight in dist.items():
  priority_queue.push(SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE     )

 if priority_queue.is_empty():
  return dist, parent

 # initialization
 UpperCamelCase__					:    str          =   priority_queue.extract_min()
 UpperCamelCase__					:    Dict          =   0
 for neighbour in graph.connections[node]:
  if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
   UpperCamelCase__					:    List[Any]          =   dist[node] + graph.connections[node][neighbour]
   priority_queue.update_key(SCREAMING_SNAKE_CASE    , dist[neighbour]     )
   UpperCamelCase__					:    int          =   node

    # running prim's algorithm
 while not priority_queue.is_empty():
  UpperCamelCase__					:    Tuple          =   priority_queue.extract_min()
  for neighbour in graph.connections[node]:
   if dist[neighbour] > dist[node] + graph.connections[node][neighbour]:
    UpperCamelCase__					:    Any          =   dist[node] + graph.connections[node][neighbour]
    priority_queue.update_key(SCREAMING_SNAKE_CASE    , dist[neighbour]     )
    UpperCamelCase__					:    int          =   node
 return dist, parent






import math
import os
import sys

def 			_a  (				SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 UpperCamelCase__					:    Any          =   ''''''
 try:
  with open(SCREAMING_SNAKE_CASE    , '''rb'''     ) as binary_file:
   UpperCamelCase__					:    int          =   binary_file.read()
  for dat in data:
   UpperCamelCase__					:    Dict          =   F"{dat:08b}"
   result += curr_byte
  return result
 except OSError:
  print('''File not accessible'''     )
  sys.exit()

def 			_a  (				SCREAMING_SNAKE_CASE	:				dict[str, str]    , SCREAMING_SNAKE_CASE	:				str    , SCREAMING_SNAKE_CASE	:				int    , SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 lexicon.pop(SCREAMING_SNAKE_CASE     )
 UpperCamelCase__					:    str          =   last_match_id

 if math.loga(SCREAMING_SNAKE_CASE     ).is_integer():
  for curr_key in lexicon:
   UpperCamelCase__					:    Any          =   '''0''' + lexicon[curr_key]

 UpperCamelCase__					:    Dict          =   bin(SCREAMING_SNAKE_CASE     )[2:]

def 			_a  (				SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 UpperCamelCase__					:    Any          =   {'''0''': '''0''', '''1''': '''1'''}
 UpperCamelCase__       ,				UpperCamelCase__					:    Any          =   '''''', ''''''
 UpperCamelCase__					:    List[Any]          =   len(SCREAMING_SNAKE_CASE     )

 for i in range(len(SCREAMING_SNAKE_CASE     )     ):
  curr_string += data_bits[i]
  if curr_string not in lexicon:
   continue

  UpperCamelCase__					:    List[str]          =   lexicon[curr_string]
  result += last_match_id
  add_key_to_lexicon(SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE     )
  index += 1
  UpperCamelCase__					:    Dict          =   ''''''

 while curr_string != "" and curr_string not in lexicon:
  curr_string += "0"

 if curr_string != "":
  UpperCamelCase__					:    Union[str, Any]          =   lexicon[curr_string]
  result += last_match_id

 return result

def 			_a  (				SCREAMING_SNAKE_CASE	:				str    , SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 UpperCamelCase__					:    int          =   os.path.getsize(SCREAMING_SNAKE_CASE     )
 UpperCamelCase__					:    Optional[Any]          =   bin(SCREAMING_SNAKE_CASE     )[2:]
 UpperCamelCase__					:    Tuple          =   len(SCREAMING_SNAKE_CASE     )

 return "0" * (length_length - 1) + file_length_binary + compressed

def 			_a  (				SCREAMING_SNAKE_CASE	:				str    , SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 UpperCamelCase__					:    Dict          =   8
 try:
  with open(SCREAMING_SNAKE_CASE    , '''wb'''     ) as opened_file:
   UpperCamelCase__					:    Optional[Any]          =   [
       to_write[i : i + byte_length]
       for i in range(0    , len(SCREAMING_SNAKE_CASE     )    , SCREAMING_SNAKE_CASE     )
   ]

   if len(result_byte_array[-1]     ) % byte_length == 0:
    result_byte_array.append('''10000000'''     )
   else:
    result_byte_array[-1] += "1" + "0" * (
        byte_length - len(result_byte_array[-1]     ) - 1
    )

   for elem in result_byte_array:
    opened_file.write(int(SCREAMING_SNAKE_CASE    , 2     ).to_bytes(1    , byteorder='''big'''     )     )
 except OSError:
  print('''File not accessible'''     )
  sys.exit()

def 			_a  (				SCREAMING_SNAKE_CASE	:				str    , SCREAMING_SNAKE_CASE	:				str     ):







 """simple docstring"""



 UpperCamelCase__					:    Optional[Any]          =   read_file_binary(SCREAMING_SNAKE_CASE     )
 UpperCamelCase__					:    Any          =   compress_data(SCREAMING_SNAKE_CASE     )
 UpperCamelCase__					:    Any          =   add_file_length(SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE     )
 write_file_binary(SCREAMING_SNAKE_CASE    , SCREAMING_SNAKE_CASE     )


if __name__ == "__main__":
       compress(sys.argv[1], sys.argv[2])


