
def 						A_			(				snake_case				: Optional[int]			,   snake_case				: Optional[int]			,   snake_case				: List[str]			)   ->     int:



						'''simple docstring'''

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

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

						if largest != index:
												__UpperCamelCase	,				__UpperCamelCase  	=      unsorted[index], unsorted[largest]
												heapify(snake_case			,   snake_case			,   snake_case			)




def 						A_			(				snake_case				: Union[str, Any]			)   ->     Optional[Any]:



						'''simple docstring'''

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


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











'''simple docstring'''

from __future__ import annotations




def  _a     (				lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_						):





      """simple docstring"""



      if counter == 0 or capacity == 0:
            return 0

      # If weight of the nth item is more than Knapsack of capacity,
      #   then this item cannot be included in the optimal solution,
      # else return the maximum of two cases:
      #   (1) nth item included
      #   (2) not included
      if weights[counter - 1] > capacity:
            return knapsack(lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_      ,   counter - 1						)
      else:
            _snake_case		:						List[str]         =  capacity - weights[counter - 1]
            _snake_case		:						Tuple         =  values[counter - 1] + knapsack(
                lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_      ,   counter - 1						)
            _snake_case		:						Any         =  knapsack(lowerCAmelCase_      ,   lowerCAmelCase_      ,   lowerCAmelCase_      ,   counter - 1						)
            return max(lowerCAmelCase_      ,   lowerCAmelCase_						)


if __name__ == "__main__":
   import doctest

   doctest.testmod()


