



'''simple docstring'''






class 							SCREAMING_SNAKE_CASE:







	"""simple docstring"""






	def __init__(		self     :	Dict						,     __snake_case     :	str						,     __snake_case     :	Optional[int]						)     ->						List[str]:
								UpperCAmelCase					:			str									=						name
								UpperCAmelCase					:			int									=						val







	def __str__(		self     :	Tuple						)     ->						Any:
								return F"""{self.__class__.__name__}({self.name}, {self.val})"""







	def __lt__(		self     :	int						,     __snake_case     :	int						)     ->						List[str]:
								return self.val < other.val

class 							SCREAMING_SNAKE_CASE:







	"""simple docstring"""






	def __init__(		self     :	Optional[int]						,     __snake_case     :	List[str]						)     ->						Optional[Any]:
								UpperCAmelCase					:			List[Any]									=						{}
								UpperCAmelCase					:			Optional[int]									=						{}
								UpperCAmelCase					:			Union[str, Any]									=						self.build_heap(__snake_case						)







	def __getitem__(		self     :	Union[str, Any]						,     __snake_case     :	Dict						)     ->						Tuple:
								return self.get_value(__snake_case						)







	def 	A      (		self     :	str						,     __snake_case     :	List[str]						)     ->						int:
								return (idx - 1) // 2







	def 	A      (		self     :	str						,     __snake_case     :	Any						)     ->						int:
								return idx * 2 + 1







	def 	A      (		self     :	Any						,     __snake_case     :	Optional[Any]						)     ->						Any:
								return idx * 2 + 2







	def 	A      (		self     :	str						,     __snake_case     :	Optional[Any]						)     ->						Optional[int]:
								return self.heap_dict[key]







	def 	A      (		self     :	str						,     __snake_case     :	Optional[int]						)     ->						Any:
								UpperCAmelCase					:			List[Any]									=						len(__snake_case						) - 1
								UpperCAmelCase					:			List[Any]									=						self.get_parent_idx(__snake_case						)

								for idx, i in enumerate(__snake_case						):
															UpperCAmelCase					:			Optional[Any]									=						idx
															UpperCAmelCase					:			str									=						i.val

								for i in range(__snake_case						,     -1						,     -1						):
															self.sift_down(__snake_case						,     __snake_case						)
								return array







	def 	A      (		self     :	Union[str, Any]						,     __snake_case     :	Optional[Any]						,     __snake_case     :	Optional[int]						)     ->						Any:



								while True:
															UpperCAmelCase					:			Optional[int]									=						self.get_left_child_idx(__snake_case						)  # noqa: E741
															UpperCAmelCase					:			int									=						self.get_right_child_idx(__snake_case						)

															UpperCAmelCase					:			Tuple									=						idx
															if l < len(__snake_case						) and array[l] < array[idx]:
																						UpperCAmelCase					:			Optional[Any]									=						l
															if r < len(__snake_case						) and array[r] < array[smallest]:
																						UpperCAmelCase					:			List[Any]									=						r

															if smallest != idx:
																						UpperCAmelCase				,						UpperCAmelCase					:			Optional[Any]									=						array[smallest], array[idx]
																						(
																						    (
																						    UpperCAmelCase		
																						)				,						(
																						    UpperCAmelCase		
																						)				,								
																						)					:			Optional[Any]									=						(
																						    self.idx_of_element[array[smallest]],
																						    self.idx_of_element[array[idx]],
																						)
																						UpperCAmelCase					:			Dict									=						smallest
															else:
																						break







	def 	A      (		self     :	Any						,     __snake_case     :	Optional[int]						)     ->						Dict:
								UpperCAmelCase					:			str									=						self.get_parent_idx(__snake_case						)
								while p >= 0 and self.heap[p] > self.heap[idx]:
															UpperCAmelCase				,						UpperCAmelCase					:			Optional[int]									=						self.heap[idx], self.heap[p]
															UpperCAmelCase				,						UpperCAmelCase					:			Tuple									=						(
															    self.idx_of_element[self.heap[idx]],
															    self.idx_of_element[self.heap[p]],
															)
															UpperCAmelCase					:			List[str]									=						p
															UpperCAmelCase					:			List[Any]									=						self.get_parent_idx(__snake_case						)







	def 	A      (		self     :	Optional[int]						)     ->						Optional[Any]:
								return self.heap[0]







	def 	A      (		self     :	int						)     ->						Optional[int]:
								UpperCAmelCase				,						UpperCAmelCase					:			List[Any]									=						self.heap[-1], self.heap[0]
								UpperCAmelCase				,						UpperCAmelCase					:			str									=						(
								    self.idx_of_element[self.heap[-1]],
								    self.idx_of_element[self.heap[0]],
								)

								UpperCAmelCase					:			Optional[int]									=						self.heap.pop()
								del self.idx_of_element[x]
								self.sift_down(0						,     self.heap						)
								return x







	def 	A      (		self     :	Tuple						,     __snake_case     :	Optional[Any]						)     ->						Dict:
								self.heap.append(__snake_case						)
								UpperCAmelCase					:			List[str]									=						len(self.heap						) - 1
								UpperCAmelCase					:			Union[str, Any]									=						node.val
								self.sift_up(len(self.heap						) - 1						)







	def 	A      (		self     :	List[str]						)     ->						int:
								return len(self.heap						) == 0







	def 	A      (		self     :	Optional[Any]						,     __snake_case     :	Dict						,     __snake_case     :	List[str]						)     ->						Optional[int]:
								assert (
								    self.heap[self.idx_of_element[node]].val > new_value
								), "newValue must be less that current value"
								UpperCAmelCase					:			Union[str, Any]									=						new_value
								UpperCAmelCase					:			Union[str, Any]									=						new_value
								self.sift_up(self.idx_of_element[node]						)

UpperCamelCase__:  Union[str, Any]				      =     Node("R", -1)
UpperCamelCase__:  List[str]				      =     Node("B", 6)
UpperCamelCase__:  List[str]				      =     Node("A", 3)
UpperCamelCase__:  Optional[int]				      =     Node("X", 1)
UpperCamelCase__:  Dict				      =     Node("E", 4)

# Use one of these two ways to generate Min-Heap

# Generating Min-Heap from array
UpperCamelCase__:  int				      =     MinHeap([r, b, a, x, e])

# Generating Min-Heap by Insert method
# myMinHeap.insert(a)
# myMinHeap.insert(b)
# myMinHeap.insert(x)
# myMinHeap.insert(r)
# myMinHeap.insert(e)

# Before
print("Min Heap - before decrease key")
for i in my_min_heap.heap:
						print(i)

print("Min Heap - After decrease key of node [B -> -17]")
my_min_heap.decrease_key(b, -17)

# After
for i in my_min_heap.heap:
						print(i)

if __name__ == "__main__":
						import doctest

						doctest.testmod()











from packaging import version

from .import_utils import is_accelerate_available


if is_accelerate_available():
				import accelerate

def lowercase    (  SCREAMING_SNAKE_CASE )			->							Union[str, Any]:


			'''simple docstring'''







			if not is_accelerate_available():
						return method
			SCREAMING_SNAKE_CASE_								=						version.parse(accelerate.__version__ ).base_version
			if version.parse(SCREAMING_SNAKE_CASE ) < version.parse('0.17.0' ):
						return method

			def wrapper(self       ,    *SCREAMING_SNAKE_CASE       ,    **SCREAMING_SNAKE_CASE ):
						if hasattr(self       ,    '_hf_hook' ) and hasattr(self._hf_hook       ,    'pre_forward' ):
									self._hf_hook.pre_forward(self )
						return method(self       ,    *SCREAMING_SNAKE_CASE       ,    **SCREAMING_SNAKE_CASE )

			return wrapper
