
"""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))






"""simple docstring"""




def lowercase_  (       _snake_case       ,_snake_case						):
							SCREAMING_SNAKE_CASE__						:	Optional[int]									=       []
							SCREAMING_SNAKE_CASE__						:	Union[str, Any]									=       len(_snake_case						)
							for i in range(_snake_case						):
														SCREAMING_SNAKE_CASE__						:	Dict									=       []
														for j in range(_snake_case						):
																					SCREAMING_SNAKE_CASE__						:	Optional[Any]									=       0
																					for k in range(_snake_case						):
																												SCREAMING_SNAKE_CASE__						:	Optional[int]									=       val + matrix_a[i][k] * matrix_b[k][j]
																					list_a.append(_snake_case						)
														matrix_c.append(_snake_case						)
							return matrix_c

def lowercase_  (       _snake_case						):
							return [[int(row == column						) for column in range(_snake_case						)] for row in range(_snake_case						)]

def lowercase_  (       _snake_case						):
							if n <= 1:
														return n
							SCREAMING_SNAKE_CASE__						:	Tuple									=       identity(2						)
							SCREAMING_SNAKE_CASE__						:	str									=       [[1, 1], [1, 0]]
							SCREAMING_SNAKE_CASE__						:	str									=       n - 1
							while n > 0:
														if n % 2 == 1:
																					SCREAMING_SNAKE_CASE__						:	List[str]									=       multiply(_snake_case       ,_snake_case						)
														SCREAMING_SNAKE_CASE__						:	int									=       multiply(_snake_case       ,_snake_case						)
														SCREAMING_SNAKE_CASE__						:	List[str]									=       int(n / 2						)
							return res_matrix[0][0]

def lowercase_  (       _snake_case						):
							if n <= 1:
														return n
							SCREAMING_SNAKE_CASE__						:	int									=       0
							SCREAMING_SNAKE_CASE__						:	str									=       1
							for _ in range(2       ,n + 1						):
														SCREAMING_SNAKE_CASE__				,				SCREAMING_SNAKE_CASE__						:	Optional[int]									=       fiba, fiba + fiba
							return fiba

def lowercase_  (       ):
							for ordinal in "0th 1st 2nd 3rd 10th 100th 1000th".split():
														SCREAMING_SNAKE_CASE__						:	Union[str, Any]									=       int("""""".join(c for c in ordinal if c in """0123456789"""						)						)  # 1000th --> 1000
														print(
														    f'''{ordinal} fibonacci number using matrix exponentiation is '''
														    f'''{nth_fibonacci_matrix(_snake_case						)} and using bruteforce is '''
														    f'''{nth_fibonacci_bruteforce(_snake_case						)}\n'''						)
							# from timeit import timeit
							# print(timeit("nth_fibonacci_matrix(1000000)",
							#              "from main import nth_fibonacci_matrix", number=5))
							# print(timeit("nth_fibonacci_bruteforce(1000000)",
							#              "from main import nth_fibonacci_bruteforce", number=5))
							# 2.3342058970001744
							# 57.256506615000035


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()




