
"""simple docstring"""




def lowercase_  (       _snake_case						):
							SCREAMING_SNAKE_CASE__						:	List[Any]									=       [True for i in range(n + 1						)]
							SCREAMING_SNAKE_CASE__						:	Union[str, Any]									=       [i - 1 for i in range(n + 1						)]
							SCREAMING_SNAKE_CASE__						:	Union[str, Any]									=       []
							for i in range(2       ,n + 1						):
														if is_prime[i]:
																					primes.append(_snake_case						)
														for j in range(0       ,len(_snake_case						)						):
																					if i * primes[j] >= n:
																												break
																					SCREAMING_SNAKE_CASE__						:	Optional[int]									=       False

																					if i % primes[j] == 0:
																												SCREAMING_SNAKE_CASE__						:	Optional[int]									=       totients[i] * primes[j]
																												break

																					SCREAMING_SNAKE_CASE__						:	Tuple									=       totients[i] * (primes[j] - 1)

							return totients


if __name__ == "__main__":
					import doctest

					doctest.testmod()






"""simple docstring"""




def lowercase_  (       _snake_case       ,_snake_case       ,_snake_case						):
							SCREAMING_SNAKE_CASE__						:	Any									=       index
							SCREAMING_SNAKE_CASE__						:	List[Any]									=       2 * index + 1
							SCREAMING_SNAKE_CASE__						:	Any									=       2 * index + 2
							if left_index < heap_size and unsorted[left_index] > unsorted[largest]:
														SCREAMING_SNAKE_CASE__						:	str									=       left_index

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

							if largest != index:
														SCREAMING_SNAKE_CASE__				,				SCREAMING_SNAKE_CASE__						:	Tuple									=       unsorted[index], unsorted[largest]
														heapify(_snake_case       ,_snake_case       ,_snake_case						)

def lowercase_  (       _snake_case						):
							SCREAMING_SNAKE_CASE__						:	List[Any]									=       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						):
														SCREAMING_SNAKE_CASE__				,				SCREAMING_SNAKE_CASE__						:	Any									=       unsorted[i], unsorted[0]
														heapify(_snake_case       ,0       ,_snake_case						)
							return unsorted


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




