




from dataclasses import dataclass

__A						:		Dict          =						"0.1"
__A						:		List[Any]          =						"Lucia Harcekova"

@dataclass
class 		lowercase_       :
					__UpperCamelCase     	= 42
					__UpperCamelCase     	= 42
					__UpperCamelCase     	= 42




					def __repr__(   self:		Union[str, Any]):


									'''simple docstring'''


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





class 		lowercase_       :




					def __init__(   self:		Union[str, Any],     _lowercase:		int = 13,     _lowercase:		int = 6):


									'''simple docstring'''


									__lowerCAmelCase					=  window_size
									__lowerCAmelCase					=  lookahead_buffer_size
									__lowerCAmelCase					=  self.window_size - self.lookahead_buffer_size




					def     _lowercase						(   self:		Any,     _lowercase:		str):


									'''simple docstring'''


									__lowerCAmelCase					=  []
									__lowerCAmelCase					=  """"""

									# 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)
													__lowerCAmelCase					=  self._find_encoding_token(_lowercase,     _lowercase)

													# 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(_lowercase) > self.search_buffer_size:
																	__lowerCAmelCase					=  search_buffer[-self.search_buffer_size :]

													# update the text
													__lowerCAmelCase					=  text[token.length + 1 :]

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

									return output




					def     _lowercase						(   self:		Optional[Any],     _lowercase:		list[Token]):


									'''simple docstring'''


									__lowerCAmelCase					=  """"""

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

									return output




					def     _lowercase						(   self:		Any,     _lowercase:		str,     _lowercase:		str):


									'''simple docstring'''


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

									# Initialise result parameters to default values
									__lowerCAmelCase	,				__lowerCAmelCase					=  0, 0

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

									for i, character in enumerate(_lowercase):
													__lowerCAmelCase					=  len(_lowercase) - i
													if character == text[0]:
																	__lowerCAmelCase					=  self._match_length_from_index(_lowercase,     _lowercase,     0,     _lowercase)
																	# 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:
																					__lowerCAmelCase	,				__lowerCAmelCase					=  found_offset, found_length

									return Token(_lowercase,     _lowercase,     text[length])







					def     _lowercase						(   self:		Dict,     _lowercase:		str,     _lowercase:		str,     _lowercase:		int,     _lowercase:		int):


									'''simple docstring'''


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


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

	testmod()
	# Initialize compressor class
	__A						:		Tuple          =						LZaaCompressor(window_size=13, lookahead_buffer_size=6)

	# Example
	__A						:		str          =						"cabracadabrarrarrad"
	__A						:		Optional[Any]          =						lzaa_compressor.compress(TEXT)
	print(lzaa_compressor.compress("ababcbababaa"))
	__A						:		Tuple          =						lzaa_compressor.decompress(compressed_text)
	assert decompressed_text == TEXT, "The LZ77 algorithm returned the invalid result."










from itertools import compress, repeat
from math import ceil, sqrt
def 						snake_case__							(       __lowercase							)		->		list[int]:







						"""simple docstring"""

						if num <= 2:
												return []
						if num == 3:
												return [2]

						# Odd sieve for numbers in range [3, num - 1]
						A__						:				Dict         =			bytearray(b"\x01"							) * ((num >> 1) - 1)

						for i in range(3				,  int(sqrt(__lowercase							)							) + 1				,  2							):
												if sieve[(i >> 1) - 1]:
																		A__						:				int         =			i**2
																		A__						:				List[str]         =			repeat(
																		    0				,  ceil((num - i_squared) / (i << 1)							)							)

						return [2] + list(compress(range(3				,  __lowercase				,  2							)				,  __lowercase							)							)


if __name__ == "__main__":
		import doctest

		doctest.testmod()