code: 
  
  
  '''simple docstring'''
  
  from dataclasses import dataclass
  
  lowerCAmelCase   :Tuple								=    '''0.1'''
  lowerCAmelCase   :Optional[Any]								=    '''Lucia Harcekova'''
  @dataclass
  class _lowerCamelCase :
  
  
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		A_			:    int
  		A_			:    int
  		A_			:    str
  
  
  
  
  
  
  
  		def __repr__(      self	:		int    )						->				str:
  			return F'({self.offset}, {self.length}, {self.indicator})'
  
  
  
  
  
  
  
  class _lowerCamelCase :
  
  
  
  		'''simple docstring'''
  
  
  
  
  
  
  
  		def __init__(      self	:		Dict						,  _A	:		int = 13						,  _A	:		int = 6    )						->				None:
  			__magic_name__ :					Optional[int]  			=  window_size
  			__magic_name__ :					Optional[Any]  			=  lookahead_buffer_size
  			__magic_name__ :					Union[str, Any]  			=  self.window_size - self.lookahead_buffer_size
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Optional[int]						,  _A	:		str    )						->				list[Token]:
  			__magic_name__ :					List[Any]  			=  []
  			__magic_name__ :					Optional[int]  			=  ''
  
  			# 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)
  				__magic_name__ :					int  			=  self._find_encoding_token(_A						,  _A    )
  
  				# 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(_A    ) > self.search_buffer_size:
  					__magic_name__ :					List[Any]  			=  search_buffer[-self.search_buffer_size :]
  
  				# update the text
  				__magic_name__ :					Tuple  			=  text[token.length + 1 :]
  
  				# append the token to output
  				output.append(_A    )
  
  			return output
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Tuple						,  _A	:		list[Token]    )						->				str:
  			__magic_name__ :					Tuple  			=  ''
  
  			for token in tokens:
  				for _ in range(token.length    ):
  					output += output[-token.offset]
  				output += token.indicator
  
  			return output
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		Optional[int]						,  _A	:		str						,  _A	:		str    )						->				Token:
  
  			if not text:
  				raise ValueError('We need some text to work with.'    )
  
  			# Initialise result parameters to default values
  			__magic_name__			,       __magic_name__ :					Tuple  			=  0, 0
  
  			if not search_buffer:
  				return Token(_A						,  _A						,  text[length]    )
  
  			for i, character in enumerate(_A    ):
  				__magic_name__ :					List[str]  			=  len(_A    ) - i
  				if character == text[0]:
  					__magic_name__ :					Any  			=  self._match_length_from_index(_A						,  _A						,  0						,  _A    )
  					# 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:
  						__magic_name__			,       __magic_name__ :					Tuple  			=  found_offset, found_length
  
  			return Token(_A						,  _A						,  text[length]    )
  
  
  
  
  
  
  
  		def      __lowerCAmelCase	(      self	:		str						,  _A	:		str						,  _A	:		str						,  _A	:		int						,  _A	:		int    )						->				int:
  			if not text or text[text_index] != window[window_index]:
  				return 0
  			return 1 + self._match_length_from_index(
  			    _A						,  window + text[text_index]						,  text_index + 1						,  window_index + 1    )
  
  
  if __name__ == "__main__":
  							from doctest import testmod
  
  							testmod()
  							# Initialize compressor class
  							lowerCAmelCase   :List[Any]								=    LZaaCompressor(window_size=1_3, lookahead_buffer_size=6)
  
  							# Example
  							lowerCAmelCase   :List[str]								=    '''cabracadabrarrarrad'''
  							lowerCAmelCase   :Dict								=    lzaa_compressor.compress(TEXT)
  							print(lzaa_compressor.compress('''ababcbababaa'''))
  							lowerCAmelCase   :Tuple								=    lzaa_compressor.decompress(compressed_text)
  							assert decompressed_text == TEXT, "The LZ77 algorithm returned the invalid result."
style_context: 
  
  
  '''simple docstring'''
  
  import math
  
  
  
  
  
  def lowerCamelCase    (    lowerCAmelCase       :			int	):
  
  
  
  
  
  	"""simple docstring"""
  
  
  
  
  
  
  
  	if not isinstance(lowerCAmelCase	,	lowerCAmelCase	):
  		__magic_name__ :					str  			=  f'Input value of [number={number}] must be an integer'
  		raise TypeError(lowerCAmelCase	)
  	if number < 1:
  		__magic_name__ :					Tuple  			=  f'Input value of [number={number}] must be a positive integer'
  		raise ValueError(lowerCAmelCase	)
  	__magic_name__ :					Tuple  			=  [number]
  	while number != 1:
  		if number % 2 == 0:
  			__magic_name__ :					Optional[int]  			=  math.floor(math.sqrt(lowerCAmelCase	)	)
  		else:
  			__magic_name__ :					Union[str, Any]  			=  math.floor(
  			    math.sqrt(lowerCAmelCase	) * math.sqrt(lowerCAmelCase	) * math.sqrt(lowerCAmelCase	)	)
  		sequence.append(lowerCAmelCase	)
  	return sequence
  
  
  if __name__ == "__main__":
  							import doctest
  
  							doctest.testmod()