from dataclasses import dataclass

_lowerCAmelCase        =       '0.1'
_lowerCAmelCase        =       'Lucia Harcekova'






@dataclass
class     __UpperCAmelCase:






 """simple docstring"""




 __magic_name__          =   42
 __magic_name__          =   42
 __magic_name__          =   42
 def __repr__(    self      ):

        """simple docstring"""

        return f"""({self.offset}, {self.length}, {self.indicator})"""






class     __UpperCAmelCase:






 """simple docstring"""




 def __init__(    self ,       __magic_name__ = 13 ,       __magic_name__ = 6      ):

        """simple docstring"""

        A_							:       str	      =				window_size
        A_							:       Optional[int]	      =				lookahead_buffer_size
        A_							:       Tuple	      =				self.window_size - self.lookahead_buffer_size
 def  UpperCAmelCase   (    self ,       __magic_name__      ):

        """simple docstring"""

        A_							:       Optional[int]	      =				[]
        A_							:       str	      =				''''''

        # while there are still characters in text to compress
        while text:
               # find the next encoding phrase
               # - triplet with offset, length, indicator (the next encoding character)
               A_							:       List[Any]	      =				self._find_encoding_token(_lowerCAmelCase ,       _lowerCAmelCase      )

               # update the search buffer:
               # - add new characters from text into it
               # - check if size exceed the max search buffer size, if so, drop the
               #   oldest elements
               search_buffer += text[: token.length + 1]
               if len(_lowerCAmelCase      ) > self.search_buffer_size:
                      A_							:       Optional[Any]	      =				search_buffer[-self.search_buffer_size :]

               # update the text
               A_							:       List[str]	      =				text[token.length + 1 :]

               # append the token to output
               output.append(_lowerCAmelCase      )

        return output
 def  UpperCAmelCase   (    self ,       __magic_name__      ):

        """simple docstring"""

        A_							:       Dict	      =				''''''

        for token in tokens:
               for _ in range(token.length      ):
                      output += output[-token.offset]
               output += token.indicator

        return output
 def  UpperCAmelCase   (    self ,       __magic_name__ ,       __magic_name__      ):

        """simple docstring"""

        if not text:
               raise ValueError('''We need some text to work with.'''      )

        # Initialise result parameters to default values
        A_      ,							A_							:       Any	      =				0, 0

        if not search_buffer:
               return Token(_lowerCAmelCase ,       _lowerCAmelCase ,       text[length]      )

        for i, character in enumerate(_lowerCAmelCase      ):
               A_							:       Tuple	      =				len(_lowerCAmelCase      ) - i
               if character == text[0]:
                      A_							:       Any	      =				self._match_length_from_index(_lowerCAmelCase ,       _lowerCAmelCase ,       0 ,       _lowerCAmelCase      )
                      # if the found length is bigger than the current or if it's equal,
                      # which means it's offset is smaller: update offset and length
                      if found_length >= length:
                             A_      ,							A_							:       Union[str, Any]	      =				found_offset, found_length

        return Token(_lowerCAmelCase ,       _lowerCAmelCase ,       text[length]      )
 def  UpperCAmelCase   (    self ,       __magic_name__ ,       __magic_name__ ,       __magic_name__ ,       __magic_name__      ):

        """simple docstring"""

        if not text or text[text_index] != window[window_index]:
               return 0
        return 1 + self._match_length_from_index(
            _lowerCAmelCase ,       window + text[text_index] ,       text_index + 1 ,       window_index + 1      )


if __name__ == "__main__":
    from doctest import testmod

    testmod()
    # Initialize compressor class
    _lowerCAmelCase        =       LZaaCompressor(window_size=1_3, lookahead_buffer_size=6)

    # Example
    _lowerCAmelCase        =       'cabracadabrarrarrad'
    _lowerCAmelCase        =       lzaa_compressor.compress(TEXT)
    print(lzaa_compressor.compress('ababcbababaa'))
    _lowerCAmelCase        =       lzaa_compressor.decompress(compressed_text)
    assert decompressed_text == TEXT, "The LZ77 algorithm returned the invalid result."







import math
def 				UpperCAmelCase__		(					_SCREAMING_SNAKE_CASE :						int					)->bool:

      if 1 < number < 4:
            # 2 and 3 are primes
            return True
      elif number < 2 or number % 2 == 0 or number % 3 == 0:
            # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
            return False

      # All primes number are in format of 6k +/- 1
      for i in range(5  ,					int(math.sqrt(_SCREAMING_SNAKE_CASE					) + 1					)  ,					6					):
            if number % i == 0 or number % (i + 2) == 0:
                  return False
      return True
def 				UpperCAmelCase__		(					_SCREAMING_SNAKE_CASE :						int = 6_0_0_8_5_1_4_7_5_1_4_3					)->int:

      try:
            _lowerCAmelCase			      =	int(_SCREAMING_SNAKE_CASE					)
      except (TypeError, ValueError):
            raise TypeError('''Parameter n must be int or castable to int.'''					)
      if n <= 0:
            raise ValueError('''Parameter n must be greater than or equal to one.'''					)
      _lowerCAmelCase			      =	0
      if is_prime(_SCREAMING_SNAKE_CASE					):
            return n
      while n % 2 == 0:
            n //= 2
      if is_prime(_SCREAMING_SNAKE_CASE					):
            return n
      for i in range(3  ,					int(math.sqrt(_SCREAMING_SNAKE_CASE					)					) + 1  ,					2					):
            if n % i == 0:
                  if is_prime(n // i					):
                        _lowerCAmelCase			      =	n // i
                        break
                  elif is_prime(_SCREAMING_SNAKE_CASE					):
                        _lowerCAmelCase			      =	i
      return max_number


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