






def 						A_					(						lowercase_	,  lowercase_	,  lowercase_			)				->List[Any]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		index
 SCREAMING_SNAKE_CASE				    =		2 * index + 1
 SCREAMING_SNAKE_CASE				    =		2 * index + 2
 if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
  SCREAMING_SNAKE_CASE				    =		left_index

 if right_index < heap_size and unsorted[right_index] > unsorted[largest]:
  SCREAMING_SNAKE_CASE				    =		right_index

 if largest != index:
  SCREAMING_SNAKE_CASE    ,   SCREAMING_SNAKE_CASE				    =		unsorted[index], unsorted[largest]
  heapify(lowercase_	,  lowercase_	,  lowercase_			)





def 						A_					(						lowercase_			)				->List[str]:







 """simple docstring"""

 SCREAMING_SNAKE_CASE				    =		len(lowercase_			)
 for i in range(n // 2 - 1	,  -1	,  -1			):
  heapify(lowercase_	,  lowercase_	,  lowercase_			)
 for i in range(n - 1	,  0	,  -1			):
  SCREAMING_SNAKE_CASE    ,   SCREAMING_SNAKE_CASE				    =		unsorted[i], unsorted[0]
  heapify(lowercase_	,  0	,  lowercase_			)
 return unsorted


if __name__ == "__main__":
      __UpperCAmelCase      =				input("Enter numbers separated by a comma:\n").strip()
      __UpperCAmelCase      =				[int(item) for item in user_input.split(",")]
      print(heap_sort(unsorted))






def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: Union[str, Any]       ,				SCREAMING_SNAKE_CASE			: Any     )	->		Tuple:
				# "Simpson Rule"
				# int(f) = delta_x/2 * (b-a)/3*(f1 + 4f2 + 2f_3 + ... + fn)
				__lowercase								=   (boundary[1] - boundary[0]) / steps
				__lowercase								=   boundary[0]
				__lowercase								=   boundary[1]
				__lowercase								=   make_points(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     )
				__lowercase								=   0.0
				y += (h / 3.0) * f(SCREAMING_SNAKE_CASE     )
				__lowercase								=   2
				for i in x_i:
								y += (h / 3) * (4 - 2 * (cnt % 2)) * f(SCREAMING_SNAKE_CASE     )
								cnt += 1
				y += (h / 3.0) * f(SCREAMING_SNAKE_CASE     )
				return y




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: List[Any]       ,				SCREAMING_SNAKE_CASE			: Dict       ,				SCREAMING_SNAKE_CASE			: int     )	->		Any:
				__lowercase								=   a + h
				while x < (b - h):
								yield x
								__lowercase								=   x + h




def 				__SCREAMING_SNAKE_CASE  (						SCREAMING_SNAKE_CASE			: Any     )	->		List[Any]:  # enter your function here
				__lowercase								=   (x - 0) * (x - 0)
				return y




def 				__SCREAMING_SNAKE_CASE  (						)	->		List[str]:
				__lowercase								=   0.0  # Lower bound of integration
				__lowercase								=   1.0  # Upper bound of integration
				__lowercase								=   10.0  # define number of steps or resolution
				__lowercase								=   [a, b]  # define boundary of integration
				__lowercase								=   method_a(SCREAMING_SNAKE_CASE       ,				SCREAMING_SNAKE_CASE     )
				print(F"""y = {y}"""     )


if __name__ == "__main__":
							main()





