from dataclasses import dataclass

__snake_case         =     '0.1'
__snake_case         =     'Lucia Harcekova'







@dataclass
class       __snake_case :
 __lowerCamelCase     : int
 __lowerCamelCase     : int
 __lowerCamelCase     : str
 def __repr__(	self    )						->				Dict:
       '''simple docstring'''





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







class       __snake_case :
 def __init__(	self		, snake_case__ = 13		, snake_case__ = 6    )						->				str:
       '''simple docstring'''





       UpperCAmelCase     :			Any     	=window_size
       UpperCAmelCase     :			List[str]     	=lookahead_buffer_size
       UpperCAmelCase     :			Optional[int]     	=self.window_size - self.lookahead_buffer_size
 def 						UpperCAmelCase__							(	self		, snake_case__    )						->				Optional[int]:
       '''simple docstring'''





       UpperCAmelCase     :			List[str]     	=[]
       UpperCAmelCase     :			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)
             UpperCAmelCase     :			Union[str, 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:
                   UpperCAmelCase     :			Dict     	=search_buffer[-self.search_buffer_size :]

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

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

       return output
 def 						UpperCAmelCase__							(	self		, snake_case__    )						->				str:
       '''simple docstring'''





       UpperCAmelCase     :			Tuple     	=''''''

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

       return output
 def 						UpperCAmelCase__							(	self		, snake_case__		, snake_case__    )						->				Union[str, Any]:
       '''simple docstring'''





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

       # Initialise result parameters to default values
       UpperCAmelCase     :			int     	=0, 0

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

       for i, character in enumerate(__snake_case    ):
             UpperCAmelCase     :			Union[str, Any]     	=len(__snake_case    ) - i
             if character == text[0]:
                   UpperCAmelCase     :			Any     	=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:
                         UpperCAmelCase     :			List[Any]     	=found_offset, found_length

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






 def 						UpperCAmelCase__							(	self		, snake_case__		, snake_case__		, snake_case__		, snake_case__    )						->				Union[str, Any]:
       '''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
     __snake_case         =     LZaaCompressor(window_size=13, lookahead_buffer_size=6)

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




from __future__ import annotations

from abc import abstractmethod
from collections.abc import Iterable
from typing import Generic, Protocol, TypeVar





class 			lowerCAmelCase__(     snake_case__    ):






    '''simple docstring'''





    @abstractmethod
    def __lt__(						self					: T							, __snake_case					: T						):





       '''simple docstring'''
       pass





    @abstractmethod
    def __gt__(						self					: T							, __snake_case					: T						):





       '''simple docstring'''
       pass





    @abstractmethod
    def __eq__(						self					: T							, __snake_case					: object						):





       '''simple docstring'''
       pass





__UpperCamelCase					:	Dict          =				TypeVar('T', bound=Comparable)





class 			lowerCAmelCase__(     Generic[T]    ):






    '''simple docstring'''





    def __init__(						self					: Tuple						):





       '''simple docstring'''
       UpperCAmelCase_				:   list[T]							= []
       UpperCAmelCase_				:   int							= 0





    def __repr__(						self					: Any						):





       '''simple docstring'''
       return str(self.h						)





    def        _lowerCamelCase			(						self					: str							, __snake_case					: int						):





       '''simple docstring'''
       if child_idx > 0:
          return (child_idx - 1) // 2
       return None





    def        _lowerCamelCase			(						self					: str							, __snake_case					: int						):





       '''simple docstring'''
       UpperCAmelCase_				:   Dict							= 2 * parent_idx + 1
       if left_child_index < self.heap_size:
          return left_child_index
       return None





    def        _lowerCamelCase			(						self					: int							, __snake_case					: int						):





       '''simple docstring'''
       UpperCAmelCase_				:   Union[str, Any]							= 2 * parent_idx + 2
       if right_child_index < self.heap_size:
          return right_child_index
       return None





    def        _lowerCamelCase			(						self					: Union[str, Any]							, __snake_case					: int						):





       '''simple docstring'''
       if index < self.heap_size:
          UpperCAmelCase_				:   int							= index
          UpperCAmelCase_				:   List[str]							= self.left_child_idx(__snake_case						)
          UpperCAmelCase_				:   List[str]							= self.right_child_idx(__snake_case						)
          # check which child is larger than its parent
          if left_child is not None and self.h[left_child] > self.h[violation]:
             UpperCAmelCase_				:   List[str]							= left_child
          if right_child is not None and self.h[right_child] > self.h[violation]:
             UpperCAmelCase_				:   List[str]							= right_child
          # if violation indeed exists
          if violation != index:
             # swap to fix the violation
             UpperCAmelCase_		,   UpperCAmelCase_				:   List[Any]							= self.h[index], self.h[violation]
             # fix the subsequent violation recursively if any
             self.max_heapify(__snake_case						)





    def        _lowerCamelCase			(						self					: Optional[Any]							, __snake_case					: Iterable[T]						):





       '''simple docstring'''
       UpperCAmelCase_				:   Union[str, Any]							= list(__snake_case						)
       UpperCAmelCase_				:   int							= len(self.h						)
       if self.heap_size > 1:
          # max_heapify from right to left but exclude leaves (last level)
          for i in range(self.heap_size // 2 - 1							, -1							, -1						):
             self.max_heapify(__snake_case						)





    def        _lowerCamelCase			(						self					: Tuple						):





       '''simple docstring'''
       if self.heap_size >= 2:
          UpperCAmelCase_				:   List[str]							= self.h[0]
          UpperCAmelCase_				:   Dict							= self.h.pop(-1						)
          self.heap_size -= 1
          self.max_heapify(0						)
          return me
       elif self.heap_size == 1:
          self.heap_size -= 1
          return self.h.pop(-1						)
       else:
          raise Exception('''Empty heap'''						)





    def        _lowerCamelCase			(						self					: List[str]							, __snake_case					: T						):





       '''simple docstring'''
       self.h.append(__snake_case						)
       UpperCAmelCase_				:   Tuple							= (self.heap_size - 1) // 2
       self.heap_size += 1
       while idx >= 0:
          self.max_heapify(__snake_case						)
          UpperCAmelCase_				:   int							= (idx - 1) // 2





    def        _lowerCamelCase			(						self					: List[str]						):





       '''simple docstring'''
       UpperCAmelCase_				:   Tuple							= self.heap_size
       for j in range(size - 1							, 0							, -1						):
          UpperCAmelCase_		,   UpperCAmelCase_				:   Any							= self.h[j], self.h[0]
          self.heap_size -= 1
          self.max_heapify(0						)
       UpperCAmelCase_				:   Union[str, Any]							= size


if __name__ == "__main__":
       import doctest

       # run doc test
       doctest.testmod()

       # demo
       for unsorted in [
           [0],
           [2],
           [3, 5],
           [5, 3],
           [5, 5],
           [0, 0, 0, 0],
           [1, 1, 1, 1],
           [2, 2, 3, 5],
           [0, 2, 2, 3, 5],
           [2, 5, 3, 0, 2, 3, 0, 3],
           [6, 1, 2, 7, 9, 3, 4, 5, 10, 8],
           [103, 9, 1, 7, 11, 15, 25, 201, 209, 107, 5],
           [-45, -2, -5],
       ]:
              print(F'unsorted array: {unsorted}')

              __UpperCamelCase					:	Heap[int]          =				Heap()
              heap.build_max_heap(unsorted)
              print(F'after build heap: {heap}')

              print(F'max value: {heap.extract_max()}')
              print(F'after max value removed: {heap}')

              heap.insert(100)
              print(F'after new value 100 inserted: {heap}')

              heap.heap_sort()
              print(F'heap-sorted array: {heap}\n')