



"""simple docstring"""






class  __SCREAMING_SNAKE_CASE			:


					'''simple docstring'''





					def __init__( self							:						str,						lowerCamelCase							:						str,						lowerCamelCase							:						List[Any]  )->      Tuple:
								lowerCamelCase__	:	Union[str, Any]				=name
								lowerCamelCase__	:	int				=val



					def __str__( self							:						List[str]  )->      Any:
								return F'''{self.__class__.__name__}({self.name}, {self.val})'''




					def __lt__( self							:						Dict,						lowerCamelCase							:						str  )->      List[Any]:
								return self.val < other.val





class  __SCREAMING_SNAKE_CASE			:


					'''simple docstring'''





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



					def __getitem__( self							:						Union[str, Any],						lowerCamelCase							:						str  )->      Optional[Any]:
								return self.get_value(lowerCamelCase  )



					def 	snake_case ( self							:						Union[str, Any],						lowerCamelCase							:						Any  )->      Tuple:
								return (idx - 1) // 2



					def 	snake_case ( self							:						int,						lowerCamelCase							:						List[Any]  )->      str:
								return idx * 2 + 1



					def 	snake_case ( self							:						List[str],						lowerCamelCase							:						str  )->      Tuple:
								return idx * 2 + 2



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



					def 	snake_case ( self							:						Tuple,						lowerCamelCase							:						Dict  )->      List[Any]:
								lowerCamelCase__	:	List[str]				=len(lowerCamelCase  ) - 1
								lowerCamelCase__	:	Tuple				=self.get_parent_idx(lowerCamelCase  )

								for idx, i in enumerate(lowerCamelCase  ):
											lowerCamelCase__	:	str				=idx
											lowerCamelCase__	:	Dict				=i.val

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



					def 	snake_case ( self							:						str,						lowerCamelCase							:						Union[str, Any],						lowerCamelCase							:						Any  )->      Optional[int]:
								while True:
											lowerCamelCase__	:	Tuple				=self.get_left_child_idx(lowerCamelCase  )  # noqa: E741
											lowerCamelCase__	:	Any				=self.get_right_child_idx(lowerCamelCase  )

											lowerCamelCase__	:	Dict				=idx
											if l < len(lowerCamelCase  ) and array[l] < array[idx]:
														lowerCamelCase__	:	Tuple				=l
											if r < len(lowerCamelCase  ) and array[r] < array[smallest]:
														lowerCamelCase__	:	int				=r

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



					def 	snake_case ( self							:						List[str],						lowerCamelCase							:						Union[str, Any]  )->      List[str]:
								lowerCamelCase__	:	Optional[Any]				=self.get_parent_idx(lowerCamelCase  )
								while p >= 0 and self.heap[p] > self.heap[idx]:
											lowerCamelCase__			,     lowerCamelCase__	:	Any				=self.heap[idx], self.heap[p]
											lowerCamelCase__			,     lowerCamelCase__	:	List[str]				=(
											    self.idx_of_element[self.heap[idx]],
											    self.idx_of_element[self.heap[p]],
											)
											lowerCamelCase__	:	Tuple				=p
											lowerCamelCase__	:	List[Any]				=self.get_parent_idx(lowerCamelCase  )



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



					def 	snake_case ( self							:						Dict  )->      Optional[int]:
								lowerCamelCase__			,     lowerCamelCase__	:	Optional[int]				=self.heap[-1], self.heap[0]
								lowerCamelCase__			,     lowerCamelCase__	:	int				=(
								    self.idx_of_element[self.heap[-1]],
								    self.idx_of_element[self.heap[0]],
								)

								lowerCamelCase__	:	Dict				=self.heap.pop()
								del self.idx_of_element[x]
								self.sift_down(0,						self.heap  )
								return x



					def 	snake_case ( self							:						int,						lowerCamelCase							:						List[str]  )->      Union[str, Any]:
								self.heap.append(lowerCamelCase  )
								lowerCamelCase__	:	str				=len(self.heap  ) - 1
								lowerCamelCase__	:	Dict				=node.val
								self.sift_up(len(self.heap  ) - 1  )



					def 	snake_case ( self							:						int  )->      str:
								return len(self.heap  ) == 0




					def 	snake_case ( self							:						Tuple,						lowerCamelCase							:						Optional[Any],						lowerCamelCase							:						Any  )->      Optional[int]:
								assert (
								    self.heap[self.idx_of_element[node]].val > new_value
								), "newValue must be less that current value"
								lowerCamelCase__	:	Any				=new_value
								lowerCamelCase__	:	List[str]				=new_value
								self.sift_up(self.idx_of_element[node]  )





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

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

# Generating Min-Heap from array
_lowercase				:				List[Any]   		=		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, -1_7)

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

if __name__ == "__main__":
		import doctest

		doctest.testmod()









"""simple docstring"""






from ..utils import DummyObject, requires_backends

class  __SCREAMING_SNAKE_CASE			(   metaclass=lowerCAmelCase_     ):


					'''simple docstring'''





					_a         =							['onnx']



					def __init__( self							:						List[str],						*lowerCamelCase							:						Union[str, Any],						**lowerCamelCase							:						str  )->      Optional[int]:
								requires_backends(self,						['''onnx''']  )



					@classmethod
					def 	snake_case ( cls							:						List[str],						*lowerCamelCase							:						Any,						**lowerCamelCase							:						Union[str, Any]  )->      Optional[int]:
								requires_backends(cls,						['''onnx''']  )




					@classmethod
					def 	snake_case ( cls							:						Union[str, Any],						*lowerCamelCase							:						Tuple,						**lowerCamelCase							:						Tuple  )->      Optional[int]:
								requires_backends(cls,						['''onnx''']  )




