


'''simple docstring'''





class    UpperCAmelCase_	:
       '''simple docstring'''






       def __init__(     self ,					__SCREAMING_SNAKE_CASE ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              UpperCamelCase    :	List[str]   	=		name
              UpperCamelCase    :	Dict   	=		val






       def __str__(     self						):




              """simple docstring"""




              return f"""{self.__class__.__name__}({self.name}, {self.val})"""






       def __lt__(     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return self.val < other.val




class    UpperCAmelCase_	:
       '''simple docstring'''






       def __init__(     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              UpperCamelCase    :	int   	=		{}
              UpperCamelCase    :	int   	=		{}
              UpperCamelCase    :	Optional[Any]   	=		self.build_heap(snake_case__						)






       def __getitem__(     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return self.get_value(snake_case__						)






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return (idx - 1) // 2






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return idx * 2 + 1






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return idx * 2 + 2






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              return self.heap_dict[key]






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              UpperCamelCase    :	Dict   	=		len(snake_case__						) - 1
              UpperCamelCase    :	int   	=		self.get_parent_idx(snake_case__						)

              for idx, i in enumerate(snake_case__						):
                     UpperCamelCase    :	str   	=		idx
                     UpperCamelCase    :	Dict   	=		i.val

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






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              while True:
                     UpperCamelCase    :	Union[str, Any]   	=		self.get_left_child_idx(snake_case__						)  # noqa: E741
                     UpperCamelCase    :	Union[str, Any]   	=		self.get_right_child_idx(snake_case__						)

                     UpperCamelCase    :	Dict   	=		idx
                     if l < len(snake_case__						) and array[l] < array[idx]:
                            UpperCamelCase    :	Optional[int]   	=		l
                     if r < len(snake_case__						) and array[r] < array[smallest]:
                            UpperCamelCase    :	Optional[int]   	=		r

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






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              UpperCamelCase    :	Optional[int]   	=		self.get_parent_idx(snake_case__						)
              while p >= 0 and self.heap[p] > self.heap[idx]:
                     UpperCamelCase	, UpperCamelCase    :	Dict   	=		self.heap[idx], self.heap[p]
                     UpperCamelCase	, UpperCamelCase    :	int   	=		(
                         self.idx_of_element[self.heap[idx]],
                         self.idx_of_element[self.heap[p]],
                     )
                     UpperCamelCase    :	List[str]   	=		p
                     UpperCamelCase    :	Dict   	=		self.get_parent_idx(snake_case__						)






       def  _lowercase   (     self						):




              """simple docstring"""




              return self.heap[0]






       def  _lowercase   (     self						):




              """simple docstring"""




              UpperCamelCase	, UpperCamelCase    :	Optional[Any]   	=		self.heap[-1], self.heap[0]
              UpperCamelCase	, UpperCamelCase    :	Dict   	=		(
                  self.idx_of_element[self.heap[-1]],
                  self.idx_of_element[self.heap[0]],
              )

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






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              self.heap.append(snake_case__						)
              UpperCamelCase    :	List[str]   	=		len(self.heap						) - 1
              UpperCamelCase    :	Optional[Any]   	=		node.val
              self.sift_up(len(self.heap						) - 1						)






       def  _lowercase   (     self						):




              """simple docstring"""




              return len(self.heap						) == 0






       def  _lowercase   (     self ,					__SCREAMING_SNAKE_CASE ,					__SCREAMING_SNAKE_CASE						):




              """simple docstring"""




              assert (
                  self.heap[self.idx_of_element[node]].val > new_value
              ), "newValue must be less that current value"
              UpperCamelCase    :	Dict   	=		new_value
              UpperCamelCase    :	Any   	=		new_value
              self.sift_up(self.idx_of_element[node]						)




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

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

# Generating Min-Heap from array
__UpperCAmelCase : 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, -17)

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

if __name__ == "__main__":
  import doctest

  doctest.testmod()





from .imports import is_tqdm_available


if is_tqdm_available():
  from tqdm.auto import tqdm as _tqdm

from ..state import PartialState


def      a	(							SCREAMING_SNAKE_CASE_      :		bool = True							,			*SCREAMING_SNAKE_CASE_      :		List[str]							,			**SCREAMING_SNAKE_CASE_      :		Tuple       ):






       """simple docstring"""





       if not is_tqdm_available():
              raise ImportError('''Accelerate\'s `tqdm` module requires `tqdm` to be installed. Please run `pip install tqdm`.'''       )
       UpperCamelCase    :	int   	=		False
       if main_process_only:
              UpperCamelCase    :	int   	=		PartialState().local_process_index == 0
       return _tqdm(*SCREAMING_SNAKE_CASE_							,			**SCREAMING_SNAKE_CASE_							,			disable=SCREAMING_SNAKE_CASE_       )

