'''simple docstring'''




from __future__ import annotations

import math
import random
from collections.abc import Collection
from typing import overload


class       UpperCAmelCase__  :
   def __init__(self       ,				_a = None				)    ->     None:
        if components is None:
             lowercase_					:       Dict     				=					[]
        lowercase_					:       Optional[int]     				=					list(_a				)
   def __len__(self				)    ->     int:
        return len(self.__components				)
   def __str__(self				)    ->     str:
        return "(" + ",".join(map(_a       ,				self.__components				)				) + ")"
   def __add__(self       ,				_a				)    ->     Vector:
        lowercase_					:       List[Any]     				=					len(self				)
        if size == len(_a				):
             lowercase_					:       List[str]     				=					[self.__components[i] + other.component(_a				) for i in range(_a				)]
             return Vector(_a				)
        else:
             raise Exception('must have the same size'				)
   def __sub__(self       ,				_a				)    ->     Vector:
        lowercase_					:       Optional[int]     				=					len(self				)
        if size == len(_a				):
             lowercase_					:       Any     				=					[self.__components[i] - other.component(_a				) for i in range(_a				)]
             return Vector(_a				)
        else:  # error case
             raise Exception('must have the same size'				)
   @overload
   def __mul__(self       ,				_a				)    ->     Vector:
        ...
   @overload
   def __mul__(self       ,				_a				)    ->     float:
        ...
   def __mul__(self       ,				_a				)    ->     float | Vector:
        if isinstance(_a       ,				(float, int)				):
             lowercase_					:       Optional[int]     				=					[c * other for c in self.__components]
             return Vector(_a				)
        elif isinstance(_a       ,				_a				) and len(self				) == len(_a				):
             lowercase_					:       Union[str, Any]     				=					len(self				)
             lowercase_					:       str     				=					[self.__components[i] * other.component(_a				) for i in range(_a				)]
             return sum(_a				)
        else:  # error case
             raise Exception('invalid operand!'				)
   def 		_lowerCamelCase (self				)    ->     Vector:
        return Vector(self.__components				)
   def 		_lowerCamelCase (self       ,				_a				)    ->     float:
        if isinstance(_a       ,				_a				) and -len(self.__components				) <= i < len(self.__components				):
             return self.__components[i]
        else:
             raise Exception('index out of range'				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     None:
        assert -len(self.__components				) <= pos < len(self.__components				)
        lowercase_					:       Dict     				=					value
   def 		_lowerCamelCase (self				)    ->     float:
        if len(self.__components				) == 0:
             raise Exception('Vector is empty'				)
        lowercase_					:       str     				=					[c**2 for c in self.__components]
        return math.sqrt(sum(_a				)				)





   def 		_lowerCamelCase (self       ,				_a       ,				_a = False				)    ->     float:
        lowercase_					:       Any     				=					self * other
        lowercase_					:       Union[str, Any]     				=					self.euclidean_length() * other.euclidean_length()
        if deg:
             return math.degrees(math.acos(num / den				)				)
        else:
             return math.acos(num / den				)



def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
     assert isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)
     return Vector([0] * dimension							)

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     assert isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							) and (isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							))
     lowercase_					:       Dict     				=					[0] * dimension
     lowercase_					:       Optional[Any]     				=					1
     return Vector(SCREAMING_SNAKE_CASE_							)

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     assert (
         isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)
         and isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)
         and (isinstance(SCREAMING_SNAKE_CASE_  ,       (int, float)							))
     )
     return x * scalar + y

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     random.seed(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Optional[int]     				=					[random.randint(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							) for _ in range(SCREAMING_SNAKE_CASE_							)]
     return Vector(SCREAMING_SNAKE_CASE_							)


class       UpperCAmelCase__  :
   def __init__(self       ,				_a       ,				_a       ,				_a				)    ->     None:
        lowercase_					:       List[Any]     				=					matrix
        lowercase_					:       Optional[Any]     				=					w
        lowercase_					:       List[Any]     				=					h
   def __str__(self				)    ->     str:
        lowercase_					:       Optional[Any]     				=					''
        for i in range(self.__height				):
             ans += "|"
             for j in range(self.__width				):
                  if j < self.__width - 1:
                       ans += str(self.__matrix[i][j]				) + ","
                  else:
                       ans += str(self.__matrix[i][j]				) + "|\n"
        return ans
   def __add__(self       ,				_a				)    ->     Matrix:
        if self.__width == other.width() and self.__height == other.height():
             lowercase_					:       List[str]     				=					[]
             for i in range(self.__height				):
                  lowercase_					:       Tuple     				=					[
                      self.__matrix[i][j] + other.component(_a       ,				_a				)
                      for j in range(self.__width				)
                  ]
                  matrix.append(_a				)
             return Matrix(_a       ,				self.__width       ,				self.__height				)
        else:
             raise Exception('matrix must have the same dimension!'				)
   def __sub__(self       ,				_a				)    ->     Matrix:
        if self.__width == other.width() and self.__height == other.height():
             lowercase_					:       Dict     				=					[]
             for i in range(self.__height				):
                  lowercase_					:       Tuple     				=					[
                      self.__matrix[i][j] - other.component(_a       ,				_a				)
                      for j in range(self.__width				)
                  ]
                  matrix.append(_a				)
             return Matrix(_a       ,				self.__width       ,				self.__height				)
        else:
             raise Exception('matrices must have the same dimension!'				)
   @overload
   def __mul__(self       ,				_a				)    ->     Matrix:
        ...
   @overload
   def __mul__(self       ,				_a				)    ->     Vector:
        ...
   def __mul__(self       ,				_a				)    ->     Vector | Matrix:
        if isinstance(_a       ,				_a				):  # matrix-vector
             if len(_a				) == self.__width:
                  lowercase_					:       Optional[Any]     				=					zero_vector(self.__height				)
                  for i in range(self.__height				):
                       lowercase_					:       str     				=					[
                           self.__matrix[i][j] * other.component(_a				)
                           for j in range(self.__width				)
                       ]
                       ans.change_component(_a       ,				sum(_a				)				)
                  return ans
             else:
                  raise Exception(
                      'vector must have the same size as the '
                      'number of columns of the matrix!'				)
        elif isinstance(_a       ,				(int, float)				):  # matrix-scalar
             lowercase_					:       Union[str, Any]     				=					[
                 [self.__matrix[i][j] * other for j in range(self.__width				)]
                 for i in range(self.__height				)
             ]
             return Matrix(_a       ,				self.__width       ,				self.__height				)
        return None
   def 		_lowerCamelCase (self				)    ->     int:
        return self.__height
   def 		_lowerCamelCase (self				)    ->     int:
        return self.__width
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     float:
        if 0 <= x < self.__height and 0 <= y < self.__width:
             return self.__matrix[x][y]
        else:
             raise Exception('change_component: indices out of bounds'				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a       ,				_a				)    ->     None:
        if 0 <= x < self.__height and 0 <= y < self.__width:
             lowercase_					:       Optional[Any]     				=					value
        else:
             raise Exception('change_component: indices out of bounds'				)
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     float:
        if self.__height != self.__width:
             raise Exception('Matrix is not square'				)
        lowercase_					:       Dict     				=					self.__matrix[:x] + self.__matrix[x + 1 :]
        for i in range(len(_a				)				):
             lowercase_					:       Tuple     				=					minor[i][:y] + minor[i][y + 1 :]
        return Matrix(_a       ,				self.__width - 1       ,				self.__height - 1				).determinant()
   def 		_lowerCamelCase (self       ,				_a       ,				_a				)    ->     float:
        if self.__height != self.__width:
             raise Exception('Matrix is not square'				)
        if 0 <= x < self.__height and 0 <= y < self.__width:
             return (-1) ** (x + y) * self.minor(_a       ,				_a				)
        else:
             raise Exception('Indices out of bounds'				)





   def 		_lowerCamelCase (self				)    ->     float:
        if self.__height != self.__width:
             raise Exception('Matrix is not square'				)
        if self.__height < 1:
             raise Exception('Matrix has no element'				)
        elif self.__height == 1:
             return self.__matrix[0][0]
        elif self.__height == 2:
             return (
                 self.__matrix[0][0] * self.__matrix[1][1]
                 - self.__matrix[0][1] * self.__matrix[1][0]
             )
        else:
             lowercase_					:       int     				=					[
                 self.__matrix[0][y] * self.cofactor(0       ,				_a				) for y in range(self.__width				)
             ]
             return sum(_a				)



def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       list[list[float]]     				=					[[0] * n for _ in range(SCREAMING_SNAKE_CASE_							)]
     return Matrix(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)






def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     random.seed(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       list[list[float]]     				=					[
         [random.randint(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							) for _ in range(SCREAMING_SNAKE_CASE_							)] for _ in range(SCREAMING_SNAKE_CASE_							)
     ]
     return Matrix(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							)





'''simple docstring'''




import math
import os
import sys

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[str]     				=					''
     try:
          with open(SCREAMING_SNAKE_CASE_  ,       'rb'							) as binary_file:
               lowercase_					:       Dict     				=					binary_file.read()
          for dat in data:
               lowercase_					:       Union[str, Any]     				=					f'''{dat:08b}'''
               result += curr_byte
          return result
     except OSError:
          print('File not accessible'							)
          sys.exit()

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lexicon.pop(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Any     				=					last_match_id

     if math.loga(SCREAMING_SNAKE_CASE_							).is_integer():
          for curr_key in lexicon:
               lowercase_					:       Tuple     				=					'0' + lexicon[curr_key]

     lowercase_					:       Any     				=					bin(SCREAMING_SNAKE_CASE_							)[2:]

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       Dict     				=					{'0': '0', '1': '1'}
     lowercase_				,lowercase_					:       Any     				=					'', ''
     lowercase_					:       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

          lowercase_					:       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
          lowercase_					:       List[Any]     				=					''

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

     if curr_string != "":
          lowercase_					:       Optional[Any]     				=					lexicon[curr_string]
          result += last_match_id

     return result

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[str]     				=					os.path.getsize(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Any     				=					bin(SCREAMING_SNAKE_CASE_							)[2:]
     lowercase_					:       Optional[Any]     				=					len(SCREAMING_SNAKE_CASE_							)

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

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[str]     				=					8
     try:
          with open(SCREAMING_SNAKE_CASE_  ,       'wb'							) as opened_file:
               lowercase_					:       List[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 _UpperCamelCase   (       SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
     lowercase_					:       List[str]     				=					read_file_binary(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       List[str]     				=					compress_data(SCREAMING_SNAKE_CASE_							)
     lowercase_					:       Union[str, 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])




