






class 							_A :
    """simple docstring"""

    def __init__(							self			:    Optional[Any]			)			->       Any:
           __UpperCAmelCase    							=[0]
           __UpperCAmelCase    							=0



    def _a       (							self			:    Optional[Any]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           __UpperCAmelCase    							=self.__heap[i]
           while i // 2 > 0:
                  if self.__heap[i] > self.__heap[i // 2]:
                         __UpperCAmelCase    							=self.__heap[i // 2]
                         __UpperCAmelCase    							=temporary
                  i //= 2



    def _a       (							self			:    List[str]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           self.__heap.append(__SCREAMING_SNAKE_CASE			)
           self.__size += 1
           self.__swap_up(self.__size			)



    def _a       (							self			:    Any   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           while self.__size >= 2 * i:
                  if 2 * i + 1 > self.__size:
                         __UpperCAmelCase    							=2 * i
                  else:
                         if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                                __UpperCAmelCase    							=2 * i
                         else:
                                __UpperCAmelCase    							=2 * i + 1
                  __UpperCAmelCase    							=self.__heap[i]
                  if self.__heap[i] < self.__heap[bigger_child]:
                         __UpperCAmelCase    							=self.__heap[bigger_child]
                         __UpperCAmelCase    							=temporary
                  __UpperCAmelCase    							=bigger_child



    def _a       (							self			:    int			)			->       int:
           __UpperCAmelCase    							=self.__heap[1]
           __UpperCAmelCase    							=self.__heap[self.__size]
           self.__size -= 1
           self.__heap.pop()
           self.__swap_down(1			)
           return max_value



    @property
    def _a       (							self			:    List[str]			)			->       Optional[Any]:
           return self.__heap[1:]



    def __len__(							self			:    Optional[int]			)			->       List[str]:
           return self.__size


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   # create an instance of BinaryHeap
   __A  							=  BinaryHeap()
   binary_heap.insert(6)
   binary_heap.insert(10)
   binary_heap.insert(15)
   binary_heap.insert(12)
   # pop root(max-values because it is max heap)
   print(binary_heap.pop())  # 15
   print(binary_heap.pop())  # 12
   # get the list and size after operations
   print(binary_heap.get_list)
   print(len(binary_heap))












from collections import namedtuple

__A  							=  namedtuple("from_to", "from_ to")

__A  							=  {
    "millimeter": "mm",
    "centimeter": "cm",
    "meter": "m",
    "kilometer": "km",
    "inch": "in",
    "inche": "in",  # Trailing 's' has been stripped off
    "feet": "ft",
    "foot": "ft",
    "yard": "yd",
    "mile": "mi",
}

__A  							=  {
    "mm": from_to(0.001, 10_00),
    "cm": from_to(0.01, 1_00),
    "m": from_to(1, 1),
    "km": from_to(10_00, 0.001),
    "in": from_to(0.0254, 39.3701),
    "ft": from_to(0.3048, 3.2_8084),
    "yd": from_to(0.9144, 1.0_9361),
    "mi": from_to(1609.34, 0.0_0062_1371),
}







def 			lowercase__  (				A_:	float     ,			A_:	str     ,			A_:	str		)  ->							float:







       """simple docstring"""






       __UpperCAmelCase    							=from_type.lower().rstrip("""s"""		)
       __UpperCAmelCase    							=TYPE_CONVERSION.get(A_     ,			A_		)
       __UpperCAmelCase    							=to_type.lower().rstrip("""s"""		)
       __UpperCAmelCase    							=TYPE_CONVERSION.get(A_     ,			A_		)
       if new_from not in METRIC_CONVERSION:
              __UpperCAmelCase    							=(
                  F'''Invalid \'from_type\' value: {from_type!r}.\n'''
                  F'''Conversion abbreviations are: {", ".join(A_		)}'''
              )
              raise ValueError(A_		)
       if new_to not in METRIC_CONVERSION:
              __UpperCAmelCase    							=(
                  F'''Invalid \'to_type\' value: {to_type!r}.\n'''
                  F'''Conversion abbreviations are: {", ".join(A_		)}'''
              )
              raise ValueError(A_		)
       return value * METRIC_CONVERSION[new_from].from_ * METRIC_CONVERSION[new_to].to


if __name__ == "__main__":
   import doctest

   doctest.testmod()




