class    A_ :

  def __init__(		self :      Dict     ,							__SCREAMING_SNAKE_CASE :      Optional[Any]     ,							__SCREAMING_SNAKE_CASE :      Tuple       ):
   __a       =  name
   __a       =  val

  def __str__(		self :      Union[str, Any]       ):
   return f"""{self.__class__.__name__}({self.name}, {self.val})"""

  def __lt__(		self :      Any     ,							__SCREAMING_SNAKE_CASE :      List[str]       ):
   return self.val < other.val
class    A_ :

  def __init__(		self :      Dict     ,							__SCREAMING_SNAKE_CASE :      Tuple       ):
   __a       =  {}
   __a       =  {}
   __a       =  self.build_heap(__SCREAMING_SNAKE_CASE       )

  def __getitem__(		self :      List[str]     ,							__SCREAMING_SNAKE_CASE :      List[str]       ):
   return self.get_value(__SCREAMING_SNAKE_CASE       )

  def 		_UpperCAmelCase   (		self :      int     ,							__SCREAMING_SNAKE_CASE :      Optional[int]       ):
   return (idx - 1) // 2

  def 		_UpperCAmelCase   (		self :      List[Any]     ,							__SCREAMING_SNAKE_CASE :      int       ):
   return idx * 2 + 1

  def 		_UpperCAmelCase   (		self :      Optional[Any]     ,							__SCREAMING_SNAKE_CASE :      List[str]       ):
   return idx * 2 + 2

  def 		_UpperCAmelCase   (		self :      Optional[Any]     ,							__SCREAMING_SNAKE_CASE :      List[str]       ):
   return self.heap_dict[key]

  def 		_UpperCAmelCase   (		self :      Optional[int]     ,							__SCREAMING_SNAKE_CASE :      Optional[Any]       ):
   __a       =  len(__SCREAMING_SNAKE_CASE       ) - 1
   __a       =  self.get_parent_idx(__SCREAMING_SNAKE_CASE       )

   for idx, i in enumerate(__SCREAMING_SNAKE_CASE       ):
    __a       =  idx
    __a       =  i.val

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

  def 		_UpperCAmelCase   (		self :      List[str]     ,							__SCREAMING_SNAKE_CASE :      Optional[int]     ,							__SCREAMING_SNAKE_CASE :      Optional[int]       ):
   while True:
    __a       =  self.get_left_child_idx(__SCREAMING_SNAKE_CASE       )  # noqa: E741
    __a       =  self.get_right_child_idx(__SCREAMING_SNAKE_CASE       )

    __a       =  idx
    if l < len(__SCREAMING_SNAKE_CASE       ) and array[l] < array[idx]:
     __a       =  l
    if r < len(__SCREAMING_SNAKE_CASE       ) and array[r] < array[smallest]:
     __a       =  r

    if smallest != idx:
     __a       ,     __a       =  array[smallest], array[idx]
     (
         (
         __a
     )       ,     (
         __a
     )       ,     
     )       =  (
         self.idx_of_element[array[smallest]],
         self.idx_of_element[array[idx]],
     )
     __a       =  smallest
    else:
     break

  def 		_UpperCAmelCase   (		self :      Any     ,							__SCREAMING_SNAKE_CASE :      Union[str, Any]       ):
   __a       =  self.get_parent_idx(__SCREAMING_SNAKE_CASE       )
   while p >= 0 and self.heap[p] > self.heap[idx]:
    __a       ,     __a       =  self.heap[idx], self.heap[p]
    __a       ,     __a       =  (
        self.idx_of_element[self.heap[idx]],
        self.idx_of_element[self.heap[p]],
    )
    __a       =  p
    __a       =  self.get_parent_idx(__SCREAMING_SNAKE_CASE       )

  def 		_UpperCAmelCase   (		self :      Any       ):
   return self.heap[0]

  def 		_UpperCAmelCase   (		self :      List[Any]       ):
   __a       ,     __a       =  self.heap[-1], self.heap[0]
   __a       ,     __a       =  (
       self.idx_of_element[self.heap[-1]],
       self.idx_of_element[self.heap[0]],
   )

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

  def 		_UpperCAmelCase   (		self :      Any     ,							__SCREAMING_SNAKE_CASE :      int       ):
   self.heap.append(__SCREAMING_SNAKE_CASE       )
   __a       =  len(self.heap       ) - 1
   __a       =  node.val
   self.sift_up(len(self.heap       ) - 1       )

  def 		_UpperCAmelCase   (		self :      Any       ):
   return len(self.heap       ) == 0

  def 		_UpperCAmelCase   (		self :      List[Any]     ,							__SCREAMING_SNAKE_CASE :      str     ,							__SCREAMING_SNAKE_CASE :      List[str]       ):
   assert (
       self.heap[self.idx_of_element[node]].val > new_value
   ), "newValue must be less that current value"
   __a       =  new_value
   __a       =  new_value
   self.sift_up(self.idx_of_element[node]       )
SCREAMING_SNAKE_CASE :	List[str]							     =		Node("""R""", -1)
SCREAMING_SNAKE_CASE :	Optional[int]							     =		Node("""B""", 6)
SCREAMING_SNAKE_CASE :	Dict							     =		Node("""A""", 3)
SCREAMING_SNAKE_CASE :	List[Any]							     =		Node("""X""", 1)
SCREAMING_SNAKE_CASE :	Union[str, Any]							     =		Node("""E""", 4)

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

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

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

if __name__ == "__main__":
  import doctest

  doctest.testmod()



import pytest

import datasets.config
from datasets.utils.info_utils import is_small_dataset



@pytest.mark.parametrize("dataset_size"							,				[None, 400 * 2**20, 600 * 2**20]					)
@pytest.mark.parametrize("input_in_memory_max_size"							,				["default", 0, 100 * 2**20, 900 * 2**20]					)
def   __A		(			_A							,				_A							,				_A					):



 """simple docstring"""


 if input_in_memory_max_size != "default":
  monkeypatch.setattr(datasets.config							,				"IN_MEMORY_MAX_SIZE"							,				_A					)
 __a       =  datasets.config.IN_MEMORY_MAX_SIZE
 if input_in_memory_max_size == "default":
  assert in_memory_max_size == 0
 else:
  assert in_memory_max_size == input_in_memory_max_size
 if dataset_size and in_memory_max_size:
  __a       =  dataset_size < in_memory_max_size
 else:
  __a       =  False
 __a       =  is_small_dataset(_A					)
 assert result == expected


