


"""simple docstring"""





from dataclasses import dataclass

__UpperCAmelCase    				=      "0.1"
__UpperCAmelCase    				=      "Lucia Harcekova"

@dataclass
class  lowercase_  :
      __magic_name__     :							int
      __magic_name__     :							int
      __magic_name__     :							str







      def __repr__(      self :							str    ):
        return f"({self.offset}, {self.length}, {self.indicator})"

class  lowercase_  :







      def __init__(      self :							List[Any]		,  _lowercase :							int = 1_3		,  _lowercase :							int = 6    ):
        lowerCAmelCase__    :    List[Any]								=					window_size
        lowerCAmelCase__    :    Dict								=					lookahead_buffer_size
        lowerCAmelCase__    :    Any								=					self.window_size - self.lookahead_buffer_size







      def 				_lowerCAmelCase       (      self :							Tuple		,  _lowercase :							str    ):
        lowerCAmelCase__    :    Tuple								=					[]
        lowerCAmelCase__    :    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)
          lowerCAmelCase__    :    int								=					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__    :    List[str]								=					search_buffer[-self.search_buffer_size :]

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

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

        return output







      def 				_lowerCAmelCase       (      self :							List[str]		,  _lowercase :							list[Token]    ):
        lowerCAmelCase__    :    Dict								=					""

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

        return output







      def 				_lowerCAmelCase       (      self :							Tuple		,  _lowercase :							str		,  _lowercase :							str    ):

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

        # Initialise result parameters to default values
        lowerCAmelCase__				,		lowerCAmelCase__    :    Optional[Any]								=					0, 0

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

        for i, character in enumerate(_lowercase    ):
          lowerCAmelCase__    :    List[str]								=					len(_lowercase    ) - i
          if character == text[0]:
            lowerCAmelCase__    :    List[str]								=					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__    :    List[str]								=					found_offset, found_length

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







      def 				_lowerCAmelCase       (      self :							Optional[Any]		,  _lowercase :							str		,  _lowercase :							str		,  _lowercase :							int		,  _lowercase :							int    ):
        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
   __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."




"""simple docstring"""





from __future__ import annotations

__UpperCAmelCase    				=      [2, 1, 4, 5, 6, 0, 8, 9, 1, 2, 0, 6, 4, 2, 0, 6, 5, 3, 2, 7]

class  lowercase_  :







      def __init__(      self :							int		,  _lowercase :							int    ):
        lowerCAmelCase__    :    int								=					-1
        lowerCAmelCase__    :    int								=					-1
        lowerCAmelCase__    :    list[int]								=					[-1] * length
        lowerCAmelCase__    :    Node | None								=					None
        lowerCAmelCase__    :    Node | None								=					None







      def __repr__(      self :							List[Any]    ):
        return f"Node(min_value={self.minn} max_value={self.maxx})"





def     lowercase__	(  lowerCamelCase     :  list[int]				)					->     Node | None:
  lowerCAmelCase__    :    Any								=					Node(len(lowerCamelCase				)				)
  lowerCAmelCase__				,		lowerCAmelCase__    :    Any								=					min(lowerCamelCase				), max(lowerCamelCase				)
  # Leaf node case where the node contains only one unique value
  if root.minn == root.maxx:
    return root
  lowerCAmelCase__    :    str								=					(root.minn + root.maxx) // 2

  lowerCAmelCase__    :    list[int]								=					[]
  lowerCAmelCase__    :    list[int]								=					[]

  for index, num in enumerate(lowerCamelCase				):
    if num <= pivot:
      left_arr.append(lowerCamelCase				)
    else:
      right_arr.append(lowerCamelCase				)
    lowerCAmelCase__    :    Optional[Any]								=					len(lowerCamelCase				)
  lowerCAmelCase__    :    List[str]								=					build_tree(lowerCamelCase				)
  lowerCAmelCase__    :    List[Any]								=					build_tree(lowerCamelCase				)
  return root





def     lowercase__	(  lowerCamelCase     :  Node | None				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				)					->     int:
  if index < 0 or node is None:
    return 0
  # Leaf node cases
  if node.minn == node.maxx:
    return index + 1 if node.minn == num else 0
  lowerCAmelCase__    :    int								=					(node.minn + node.maxx) // 2
  if num <= pivot:
    # go the left subtree and map index to the left subtree
    return rank_till_index(node.left				,	lowerCamelCase				,	node.map_left[index] - 1				)
  else:
    # go to the right subtree and map index to the right subtree
    return rank_till_index(node.right				,	lowerCamelCase				,	index - node.map_left[index]				)





def     lowercase__	(  lowerCamelCase     :  Node | None				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				)					->     int:
  if start > end:
    return 0
  lowerCAmelCase__    :    int								=					rank_till_index(lowerCamelCase				,	lowerCamelCase				,	lowerCamelCase				)
  lowerCAmelCase__    :    Optional[Any]								=					rank_till_index(lowerCamelCase				,	lowerCamelCase				,	start - 1				)
  return rank_till_end - rank_before_start





def     lowercase__	(  lowerCamelCase     :  Node | None				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				)					->     int:
  if index > (end - start) or start > end or node is None:
    return -1
  # Leaf node case
  if node.minn == node.maxx:
    return node.minn
  # Number of elements in the left subtree in interval [start, end]
  lowerCAmelCase__    :    List[str]								=					node.map_left[end] - (
      node.map_left[start - 1] if start else 0
  )
  if num_elements_in_left_tree > index:
    return quantile(
        node.left				,	lowerCamelCase				,	(node.map_left[start - 1] if start else 0)				,	node.map_left[end] - 1				,	)
  else:
    return quantile(
        node.right				,	index - num_elements_in_left_tree				,	start - (node.map_left[start - 1] if start else 0)				,	end - node.map_left[end]				,	)





def     lowercase__	(  lowerCamelCase     :  Node | None				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				,	lowerCamelCase     :  int				)					->     int:
  if (
      start > end
      or node is None
      or start_num > end_num
      or node.minn > end_num
      or node.maxx < start_num
  ):
    return 0
  if start_num <= node.minn and node.maxx <= end_num:
    return end - start + 1
  lowerCAmelCase__    :    List[str]								=					range_counting(
      node.left				,	(node.map_left[start - 1] if start else 0)				,	node.map_left[end] - 1				,	lowerCamelCase				,	lowerCamelCase				,	)
  lowerCAmelCase__    :    List[str]								=					range_counting(
      node.right				,	start - (node.map_left[start - 1] if start else 0)				,	end - node.map_left[end]				,	lowerCamelCase				,	lowerCamelCase				,	)
  return left + right


if __name__ == "__main__":
   import doctest

   doctest.testmod()
