from __future__ import annotations

def    _A(		lowerCAmelCase ,     lowerCAmelCase       ):
							A__					:    Tuple														= [None] * (len(lowerCAmelCase       ) + len(lowerCAmelCase       ))

							A__					:    Union[str, Any]														= 0  # pointer to current index for left Half
							A__					:    List[str]														= 0  # pointer to current index for the right Half
							A__					:    List[Any]														= 0  # pointer to current index for the sorted array Half

							while pointera < len(lowerCAmelCase       ) and pointera < len(lowerCAmelCase       ):
														if left_half[pointera] < right_half[pointera]:
																					A__					:    Dict														= left_half[pointera]
																					pointera += 1
																					index += 1
														else:
																					A__					:    Optional[int]														= right_half[pointera]
																					pointera += 1
																					index += 1
							while pointera < len(lowerCAmelCase       ):
														A__					:    str														= left_half[pointera]
														pointera += 1
														index += 1

							while pointera < len(lowerCAmelCase       ):
														A__					:    Optional[int]														= right_half[pointera]
														pointera += 1
														index += 1

							return sorted_array

def    _A(		lowerCAmelCase       ):
							if len(lowerCAmelCase       ) <= 1:
														return array
							# the actual formula to calculate the middle element = left + (right - left) // 2
							# this avoids integer overflow in case of large N
							A__					:    Dict														= 0 + (len(lowerCAmelCase       ) - 0) // 2

							# Split the array into halves till the array length becomes equal to One
							# merge the arrays of single length returned by mergeSort function and
							# pass them into the merge arrays function which merges the array
							A__					:    Optional[int]														= array[:middle]
							A__					:    Dict														= array[middle:]

							return merge(merge_sort(lowerCAmelCase       ) ,     merge_sort(lowerCAmelCase       )       )


if __name__ == "__main__":
				import doctest

				doctest.testmod()






"""simple docstring"""



from dataclasses import dataclass

_UpperCamelCase         =		"0.1"
_UpperCamelCase         =		"Lucia Harcekova"
@dataclass
class 	__UpperCAmelCase						:







			'''simple docstring'''
			_UpperCamelCase     :	int
			_UpperCamelCase     :	int
			_UpperCamelCase     :	str





			def __repr__( self       ):







										'''simple docstring'''


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





class 	__UpperCAmelCase						:







			'''simple docstring'''





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







										'''simple docstring'''


										A__					:    str														= window_size
										A__					:    Optional[int]														= lookahead_buffer_size
										A__					:    Optional[Any]														= self.window_size - self.lookahead_buffer_size





			def 		lowerCamelCase				( self      ,			snake_case_       ):







										'''simple docstring'''


										A__					:    str														= []
										A__					:    Any														= """"""

										# 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__					:    Optional[Any]														= self._find_encoding_token(snake_case_      ,			snake_case_       )

																	# 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(snake_case_       ) > self.search_buffer_size:
																								A__					:    Any														= search_buffer[-self.search_buffer_size :]

																	# update the text
																	A__					:    Optional[Any]														= text[token.length + 1 :]

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

										return output





			def 		lowerCamelCase				( self      ,			snake_case_       ):







										'''simple docstring'''


										A__					:    List[Any]														= """"""

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

										return output





			def 		lowerCamelCase				( self      ,			snake_case_      ,			snake_case_       ):







										'''simple docstring'''


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

										# Initialise result parameters to default values
										A__							,       A__					:    List[Any]														= 0, 0

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

										for i, character in enumerate(snake_case_       ):
																	A__					:    Tuple														= len(snake_case_       ) - i
																	if character == text[0]:
																								A__					:    Tuple														= self._match_length_from_index(snake_case_      ,			snake_case_      ,			0      ,			snake_case_       )
																								# 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__					:    List[str]														= found_offset, found_length

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





			def 		lowerCamelCase				( self      ,			snake_case_      ,			snake_case_      ,			snake_case_      ,			snake_case_       ):







										'''simple docstring'''


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


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

				testmod()
				# Initialize compressor class
				_UpperCamelCase         =		LZaaCompressor(window_size=13, lookahead_buffer_size=6)

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





