"""simple docstring"""



from collections.abc import Iterator, MutableMapping
from dataclasses import dataclass
from typing import Generic, TypeVar

__magic_name__     					=       TypeVar("KEY")
__magic_name__     					=       TypeVar("VAL")

@dataclass(frozen=_SCREAMING_SNAKE_CASE ,   slots=_SCREAMING_SNAKE_CASE						)
class SCREAMING_SNAKE_CASE  (     Generic[KEY, VAL]						):







 """simple docstring"""


 a_							:						Any	      =4_2
 a_							:						Dict	      =4_2

class SCREAMING_SNAKE_CASE  (     _Item						):







 """simple docstring"""


 def __init__( self		:   int					)					->      None:




    '''simple docstring'''






    super().__init__(_snake_case       , _snake_case					)



 def __bool__( self		:   Tuple					)					->      bool:




    '''simple docstring'''






    return False
__magic_name__     					=       _DeletedItem()

class SCREAMING_SNAKE_CASE  (     MutableMapping[KEY, VAL]						):







 """simple docstring"""


 def __init__( self		:   Optional[int]       , _snake_case		:   int = 8       , _snake_case		:   float = 0.75					)					->      None:




    '''simple docstring'''






    a__  					=		initial_block_size
    a__  					=		[None] * initial_block_size
    assert 0.0 < capacity_factor < 1.0
    a__  					=		capacity_factor
    a__  					=		0


 def 							_lowerCAmelCase					( self		:   List[Any]       , _snake_case		:   KEY					)					->      int:




    '''simple docstring'''






    return hash(_snake_case					) % len(self._buckets					)


 def 							_lowerCAmelCase					( self		:   Optional[Any]       , _snake_case		:   int					)					->      int:




    '''simple docstring'''






    return (ind + 1) % len(self._buckets					)


 def 							_lowerCAmelCase					( self		:   Union[str, Any]       , _snake_case		:   int       , _snake_case		:   KEY       , _snake_case		:   VAL					)					->      bool:




    '''simple docstring'''






    a__  					=		self._buckets[ind]
    if not stored:
       a__  					=		_Item(_snake_case       , _snake_case					)
       self._len += 1
       return True
    elif stored.key == key:
       a__  					=		_Item(_snake_case       , _snake_case					)
       return True
    else:
       return False


 def 							_lowerCAmelCase					( self		:   Optional[Any]					)					->      bool:




    '''simple docstring'''






    a__  					=		len(self._buckets					) * self._capacity_factor
    return len(self					) >= int(_snake_case					)


 def 							_lowerCAmelCase					( self		:   Dict					)					->      bool:




    '''simple docstring'''






    if len(self._buckets					) <= self._initial_block_size:
       return False
    a__  					=		len(self._buckets					) * self._capacity_factor / 2
    return len(self					) < limit


 def 							_lowerCAmelCase					( self		:   Tuple       , _snake_case		:   int					)					->      None:




    '''simple docstring'''






    a__  					=		self._buckets
    a__  					=		[None] * new_size
    a__  					=		0
    for item in old_buckets:
       if item:
          self._add_item(item.key       , item.val					)


 def 							_lowerCAmelCase					( self		:   Tuple					)					->      None:




    '''simple docstring'''






    self._resize(len(self._buckets					) * 2					)


 def 							_lowerCAmelCase					( self		:   Union[str, Any]					)					->      None:




    '''simple docstring'''






    self._resize(len(self._buckets					) // 2					)


 def 							_lowerCAmelCase					( self		:   Optional[int]       , _snake_case		:   KEY					)					->      Iterator[int]:




    '''simple docstring'''






    a__  					=		self._get_bucket_index(_snake_case					)
    for _ in range(len(self._buckets					)					):
       yield ind
       a__  					=		self._get_next_ind(_snake_case					)


 def 							_lowerCAmelCase					( self		:   Tuple       , _snake_case		:   KEY       , _snake_case		:   VAL					)					->      None:




    '''simple docstring'''






    for ind in self._iterate_buckets(_snake_case					):
       if self._try_set(_snake_case       , _snake_case       , _snake_case					):
          break


 def __setitem__( self		:   Tuple       , _snake_case		:   KEY       , _snake_case		:   VAL					)					->      None:




    '''simple docstring'''






    if self._is_full():
       self._size_up()

    self._add_item(_snake_case       , _snake_case					)


 def __delitem__( self		:   Optional[int]       , _snake_case		:   KEY					)					->      None:




    '''simple docstring'''






    for ind in self._iterate_buckets(_snake_case					):
       a__  					=		self._buckets[ind]
       if item is None:
          raise KeyError(_snake_case					)
       if item is _deleted:
          continue
       if item.key == key:
          a__  					=		_deleted
          self._len -= 1
          break
    if self._is_sparse():
       self._size_down()


 def __getitem__( self		:   Any       , _snake_case		:   KEY					)					->      VAL:




    '''simple docstring'''






    for ind in self._iterate_buckets(_snake_case					):
       a__  					=		self._buckets[ind]
       if item is None:
          break
       if item is _deleted:
          continue
       if item.key == key:
          return item.val
    raise KeyError(_snake_case					)


 def __len__( self		:   Any					)					->      int:




    '''simple docstring'''






    return self._len


 def __iter__( self		:   Optional[Any]					)					->      Iterator[KEY]:




    '''simple docstring'''






    yield from (item.key for item in self._buckets if item)



 def __repr__( self		:   List[Any]					)					->      str:




    '''simple docstring'''






    a__  					=		""" ,""".join(
        F'''{item.key}: {item.val}''' for item in self._buckets if item					)
    return F'''HashMap({val_string})'''






'''simple docstring'''






from collections.abc import Callable






class   __snake_case			:







    """simple docstring"""



    def __init__(  self       :    Tuple       ,		lowerCamelCase       :    Callable | None = None						)  ->    None:
      # Stores actual heap items.
      lowerCAmelCase_     : list     =  []
      # Stores indexes of each item for supporting updates and deletion.
      lowerCAmelCase_     : dict     =  {}
      # Stores current size of heap.
      lowerCAmelCase_     : List[Any]     =  0
      # Stores function used to evaluate the score of an item on which basis ordering
      # will be done.
      lowerCAmelCase_     : Tuple     =  key or (lambda lowerCamelCase						: x)

    def __lowercase  (  self       :    Optional[Any]       ,		lowerCamelCase       :    int						)  ->    int | None:
      return int((i - 1) / 2						) if i > 0 else None

    def __lowercase  (  self       :    Union[str, Any]       ,		lowerCamelCase       :    int						)  ->    int | None:
      lowerCAmelCase_     : List[str]     =  int(2 * i + 1						)
      return left if 0 < left < self.size else None

    def __lowercase  (  self       :    Optional[Any]       ,		lowerCamelCase       :    int						)  ->    int | None:
      lowerCAmelCase_     : List[Any]     =  int(2 * i + 2						)
      return right if 0 < right < self.size else None

    def __lowercase  (  self       :    List[str]       ,		lowerCamelCase       :    int       ,		lowerCamelCase       :    int						)  ->    None:
      lowerCAmelCase_,				lowerCAmelCase_     : Union[str, Any]     =  (
          self.pos_map[self.arr[j][0]],
          self.pos_map[self.arr[i][0]],
      )
      # Then swap the items in the list.
      lowerCAmelCase_,				lowerCAmelCase_     : List[Any]     =  self.arr[j], self.arr[i]

    def __lowercase  (  self       :    Tuple       ,		lowerCamelCase       :    int       ,		lowerCamelCase       :    int						)  ->    bool:
      return self.arr[i][1] < self.arr[j][1]

    def __lowercase  (  self       :    int       ,		lowerCamelCase       :    int						)  ->    int:
      lowerCAmelCase_     : List[str]     =  self._left(lowerCamelCase						)
      lowerCAmelCase_     : Optional[Any]     =  self._right(lowerCamelCase						)
      lowerCAmelCase_     : Tuple     =  i

      if left is not None and not self._cmp(lowerCamelCase       ,		lowerCamelCase						):
        lowerCAmelCase_     : int     =  left
      if right is not None and not self._cmp(lowerCamelCase       ,		lowerCamelCase						):
        lowerCAmelCase_     : Optional[Any]     =  right

      return valid_parent

    def __lowercase  (  self       :    List[Any]       ,		lowerCamelCase       :    int						)  ->    None:
      lowerCAmelCase_     : Tuple     =  self._parent(lowerCamelCase						)
      while parent is not None and not self._cmp(lowerCamelCase       ,		lowerCamelCase						):
        self._swap(lowerCamelCase       ,		lowerCamelCase						)
        lowerCAmelCase_,				lowerCAmelCase_     : str     =  parent, self._parent(lowerCamelCase						)

    def __lowercase  (  self       :    Tuple       ,		lowerCamelCase       :    int						)  ->    None:
      lowerCAmelCase_     : Optional[Any]     =  self._get_valid_parent(lowerCamelCase						)
      while valid_parent != index:
        self._swap(lowerCamelCase       ,		lowerCamelCase						)
        lowerCAmelCase_,				lowerCAmelCase_     : int     =  valid_parent, self._get_valid_parent(lowerCamelCase						)

    def __lowercase  (  self       :    Optional[Any]       ,		lowerCamelCase       :    int       ,		lowerCamelCase       :    int						)  ->    None:
      if item not in self.pos_map:
        return
      lowerCAmelCase_     : Dict     =  self.pos_map[item]
      lowerCAmelCase_     : Dict     =  [item, self.key(lowerCamelCase						)]
      # Make sure heap is right in both up and down direction.
      # Ideally only one of them will make any change.
      self._heapify_up(lowerCamelCase						)
      self._heapify_down(lowerCamelCase						)

    def __lowercase  (  self       :    int       ,		lowerCamelCase       :    int						)  ->    None:
      if item not in self.pos_map:
        return
      lowerCAmelCase_     : List[str]     =  self.pos_map[item]
      del self.pos_map[item]
      lowerCAmelCase_     : Tuple     =  self.arr[self.size - 1]
      lowerCAmelCase_     : List[str]     =  index
      self.size -= 1
      # Make sure heap is right in both up and down direction. Ideally only one
      # of them will make any change- so no performance loss in calling both.
      if self.size > index:
        self._heapify_up(lowerCamelCase						)
        self._heapify_down(lowerCamelCase						)

    def __lowercase  (  self       :    List[Any]       ,		lowerCamelCase       :    int       ,		lowerCamelCase       :    int						)  ->    None:
      lowerCAmelCase_     : Any     =  len(self.arr						)
      if arr_len == self.size:
        self.arr.append([item, self.key(lowerCamelCase						)]						)
      else:
        lowerCAmelCase_     : str     =  [item, self.key(lowerCamelCase						)]
      lowerCAmelCase_     : Optional[Any]     =  self.size
      self.size += 1
      self._heapify_up(self.size - 1						)

    def __lowercase  (  self       :    str						)  ->    tuple | None:
      return self.arr[0] if self.size else None





    def __lowercase  (  self       :    Optional[Any]						)  ->    tuple | None:
      lowerCAmelCase_     : int     =  self.get_top()
      if top_item_tuple:
        self.delete_item(top_item_tuple[0]						)
      return top_item_tuple







def 							UpperCamelCase_     (       ):
  '''simple docstring'''







if __name__ == "__main__":
  import doctest

  doctest.testmod()



