






def 		A_			(		lowercase_					,       lowercase_					,       lowercase_	)							->Optional[int]:







 """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							  =						unsorted[index], unsorted[largest]
  heapify(_lowerCAmelCase					,       _lowerCAmelCase					,       _lowerCAmelCase	)





def 		A_			(		lowercase_	)							->Optional[Any]:







 """simple docstring"""

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








import math





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







 """simple docstring"""

 SCREAMING_SNAKE_CASE							  =						0
 if n % 2 == 0:
  count += 1
  while n % 2 == 0:
   SCREAMING_SNAKE_CASE							  =						int(n / 2	)
    # the n input value must be odd so that
    # we can skip one element (ie i += 2)

 SCREAMING_SNAKE_CASE							  =						3

 while i <= int(math.sqrt(lowercase_	)	):
  if n % i == 0:
   count += 1
   while n % i == 0:
    SCREAMING_SNAKE_CASE							  =						int(n / i	)
  SCREAMING_SNAKE_CASE							  =						i + 2

 # this condition checks the prime
 # number n is greater than 2

 if n > 2:
  count += 1
 return count


if __name__ == "__main__":
      __UpperCAmelCase      				=							5_1_2_4_2_1_8_3
      print(f'The number of distinct prime factors is/are {exact_prime_factor_count(n)}')
      print(f'The value of log(log(n)) is {math.log(math.log(n)):.4f}')




