
"""simple docstring"""



from collections.abc import Callable





class 				a			:



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



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          return int((i - 1) / 2      ) if i > 0 else None



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      Dict     							=					int(2 * i + 1      )
          return left if 0 < left < self.size else None



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      str     							=					int(2 * i + 2      )
          return right if 0 < right < self.size else None



      def  __snake_case							(   self     ,	UpperCamelCase_     ,	UpperCamelCase_      ):
          UpperCAmelCase__							,							UpperCAmelCase__	:      Tuple     							=					(
              self.pos_map[self.arr[j][0]],
              self.pos_map[self.arr[i][0]],
          )
          # Then swap the items in the list.
          UpperCAmelCase__							,							UpperCAmelCase__	:      str     							=					self.arr[j], self.arr[i]



      def  __snake_case							(   self     ,	UpperCamelCase_     ,	UpperCamelCase_      ):
          return self.arr[i][1] < self.arr[j][1]



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      int     							=					self._left(UpperCamelCase_      )
          UpperCAmelCase__	:      Union[str, Any]     							=					self._right(UpperCamelCase_      )
          UpperCAmelCase__	:      List[Any]     							=					i

          if left is not None and not self._cmp(UpperCamelCase_     ,	UpperCamelCase_      ):
              UpperCAmelCase__	:      List[Any]     							=					left
          if right is not None and not self._cmp(UpperCamelCase_     ,	UpperCamelCase_      ):
              UpperCAmelCase__	:      str     							=					right

          return valid_parent



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      List[Any]     							=					self._parent(UpperCamelCase_      )
          while parent is not None and not self._cmp(UpperCamelCase_     ,	UpperCamelCase_      ):
              self._swap(UpperCamelCase_     ,	UpperCamelCase_      )
              UpperCAmelCase__							,							UpperCAmelCase__	:      List[Any]     							=					parent, self._parent(UpperCamelCase_      )



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      List[str]     							=					self._get_valid_parent(UpperCamelCase_      )
          while valid_parent != index:
              self._swap(UpperCamelCase_     ,	UpperCamelCase_      )
              UpperCAmelCase__							,							UpperCAmelCase__	:      List[str]     							=					valid_parent, self._get_valid_parent(UpperCamelCase_      )



      def  __snake_case							(   self     ,	UpperCamelCase_     ,	UpperCamelCase_      ):
          if item not in self.pos_map:
              return
          UpperCAmelCase__	:      Tuple     							=					self.pos_map[item]
          UpperCAmelCase__	:      List[str]     							=					[item, self.key(UpperCamelCase_      )]
          # Make sure heap is right in both up and down direction.
          # Ideally only one of them will make any change.
          self._heapify_up(UpperCamelCase_      )
          self._heapify_down(UpperCamelCase_      )



      def  __snake_case							(   self     ,	UpperCamelCase_      ):
          if item not in self.pos_map:
              return
          UpperCAmelCase__	:      List[Any]     							=					self.pos_map[item]
          del self.pos_map[item]
          UpperCAmelCase__	:      Dict     							=					self.arr[self.size - 1]
          UpperCAmelCase__	:      Optional[int]     							=					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(UpperCamelCase_      )
              self._heapify_down(UpperCamelCase_      )



      def  __snake_case							(   self     ,	UpperCamelCase_     ,	UpperCamelCase_      ):
          UpperCAmelCase__	:      int     							=					len(self.arr      )
          if arr_len == self.size:
              self.arr.append([item, self.key(UpperCamelCase_      )]      )
          else:
              UpperCAmelCase__	:      Union[str, Any]     							=					[item, self.key(UpperCamelCase_      )]
          UpperCAmelCase__	:      str     							=					self.size
          self.size += 1
          self._heapify_up(self.size - 1      )



      def  __snake_case							(   self      ):
          return self.arr[0] if self.size else None



      def  __snake_case							(   self      ):
          UpperCAmelCase__	:      Union[str, Any]     							=					self.get_top()
          if top_item_tuple:
              self.delete_item(top_item_tuple[0]      )
          return top_item_tuple




def 					lowerCamelCase   (     ):
    pass


if __name__ == "__main__":
    import doctest

    doctest.testmod()



"""simple docstring"""



UpperCamelCase__          =	{
    'meter': 'm',
    'kilometer': 'km',
    'megametre': 'Mm',
    'gigametre': 'Gm',
    'terametre': 'Tm',
    'petametre': 'Pm',
    'exametre': 'Em',
    'zettametre': 'Zm',
    'yottametre': 'Ym',
}
# Exponent of the factor(meter)
UpperCamelCase__          =	{
    'm': 0,
    'km': 3,
    'Mm': 6,
    'Gm': 9,
    'Tm': 12,
    'Pm': 15,
    'Em': 18,
    'Zm': 21,
    'Ym': 24,
}
def 					lowerCamelCase   (     _snake_case    ,_snake_case    ,_snake_case ):
    UpperCAmelCase__	:      int     							=					from_type.lower().strip('s' )
    UpperCAmelCase__	:      List[Any]     							=					to_type.lower().strip('s' )

    UpperCAmelCase__	:      Optional[int]     							=					UNIT_SYMBOL.get(_snake_case    ,_snake_case )
    UpperCAmelCase__	:      Optional[Any]     							=					UNIT_SYMBOL.get(_snake_case    ,_snake_case )

    if from_sanitized not in METRIC_CONVERSION:
        UpperCAmelCase__	:      Optional[int]     							=					(
            F'''Invalid \'from_type\' value: {from_type!r}.\n'''
            F'''Conversion abbreviations are: {', '.join(_snake_case )}'''
        )
        raise ValueError(_snake_case )
    if to_sanitized not in METRIC_CONVERSION:
        UpperCAmelCase__	:      int     							=					(
            F'''Invalid \'to_type\' value: {to_type!r}.\n'''
            F'''Conversion abbreviations are: {', '.join(_snake_case )}'''
        )
        raise ValueError(_snake_case )
    UpperCAmelCase__	:      str     							=					METRIC_CONVERSION[from_sanitized]
    UpperCAmelCase__	:      Optional[int]     							=					METRIC_CONVERSION[to_sanitized]
    UpperCAmelCase__	:      int     							=					1

    if from_exponent > to_exponent:
        UpperCAmelCase__	:      List[str]     							=					from_exponent - to_exponent
    else:
        UpperCAmelCase__	:      int     							=					-(to_exponent - from_exponent)

    return value * pow(10    ,_snake_case )


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

    testmod()

