


class      __lowerCAmelCase  :






  """simple docstring"""





  def __init__(  self							:							Tuple     ,					_lowerCAmelCase							:							str     ,					_lowerCAmelCase							:							int	) ->			str:




     """simple docstring"""
     snake_case_            =       name
     snake_case_            =       val



  def __str__(  self							:							List[Any]	) ->			List[str]:




     """simple docstring"""
     return F'''{self.__class__.__name__}({self.name}, {self.val})'''



  def __lt__(  self							:							List[Any]     ,					_lowerCAmelCase							:							Tuple	) ->			List[Any]:




     """simple docstring"""
     return self.val < other.val






class      __lowerCAmelCase  :






  """simple docstring"""





  def __init__(  self							:							Dict     ,					_lowerCAmelCase							:							int	) ->			Any:




     """simple docstring"""
     snake_case_            =       {}
     snake_case_            =       {}
     snake_case_            =       self.build_heap(__UpperCamelCase	)



  def __getitem__(  self							:							Tuple     ,					_lowerCAmelCase							:							Any	) ->			Optional[int]:




     """simple docstring"""
     return self.get_value(__UpperCamelCase	)



  def        lowerCAmelCase__	(  self							:							Any     ,					_lowerCAmelCase							:							Union[str, Any]	) ->			Optional[int]:




     """simple docstring"""
     return (idx - 1) // 2



  def        lowerCAmelCase__	(  self							:							List[str]     ,					_lowerCAmelCase							:							List[Any]	) ->			Optional[Any]:




     """simple docstring"""
     return idx * 2 + 1



  def        lowerCAmelCase__	(  self							:							Optional[int]     ,					_lowerCAmelCase							:							List[str]	) ->			str:




     """simple docstring"""
     return idx * 2 + 2



  def        lowerCAmelCase__	(  self							:							Any     ,					_lowerCAmelCase							:							int	) ->			List[str]:




     """simple docstring"""
     return self.heap_dict[key]



  def        lowerCAmelCase__	(  self							:							List[Any]     ,					_lowerCAmelCase							:							List[str]	) ->			Optional[Any]:




     """simple docstring"""
     snake_case_            =       len(__UpperCamelCase	) - 1
     snake_case_            =       self.get_parent_idx(__UpperCamelCase	)

     for idx, i in enumerate(__UpperCamelCase	):
        snake_case_            =       idx
        snake_case_            =       i.val

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



  def        lowerCAmelCase__	(  self							:							Any     ,					_lowerCAmelCase							:							Optional[int]     ,					_lowerCAmelCase							:							Dict	) ->			int:




     """simple docstring"""


     while True:
        snake_case_            =       self.get_left_child_idx(__UpperCamelCase	)  # noqa: E741
        snake_case_            =       self.get_right_child_idx(__UpperCamelCase	)

        snake_case_            =       idx
        if l < len(__UpperCamelCase	) and array[l] < array[idx]:
           snake_case_            =       l
        if r < len(__UpperCamelCase	) and array[r] < array[smallest]:
           snake_case_            =       r

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



  def        lowerCAmelCase__	(  self							:							List[str]     ,					_lowerCAmelCase							:							Any	) ->			int:




     """simple docstring"""
     snake_case_            =       self.get_parent_idx(__UpperCamelCase	)
     while p >= 0 and self.heap[p] > self.heap[idx]:
        snake_case_     ,     snake_case_            =       self.heap[idx], self.heap[p]
        snake_case_     ,     snake_case_            =       (
            self.idx_of_element[self.heap[idx]],
            self.idx_of_element[self.heap[p]],
        )
        snake_case_            =       p
        snake_case_            =       self.get_parent_idx(__UpperCamelCase	)



  def        lowerCAmelCase__	(  self							:							Optional[int]	) ->			List[Any]:




     """simple docstring"""
     return self.heap[0]



  def        lowerCAmelCase__	(  self							:							Tuple	) ->			Any:




     """simple docstring"""
     snake_case_     ,     snake_case_            =       self.heap[-1], self.heap[0]
     snake_case_     ,     snake_case_            =       (
         self.idx_of_element[self.heap[-1]],
         self.idx_of_element[self.heap[0]],
     )

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



  def        lowerCAmelCase__	(  self							:							List[str]     ,					_lowerCAmelCase							:							Tuple	) ->			Tuple:




     """simple docstring"""
     self.heap.append(__UpperCamelCase	)
     snake_case_            =       len(self.heap	) - 1
     snake_case_            =       node.val
     self.sift_up(len(self.heap	) - 1	)



  def        lowerCAmelCase__	(  self							:							Dict	) ->			Dict:




     """simple docstring"""
     return len(self.heap	) == 0



  def        lowerCAmelCase__	(  self							:							Optional[int]     ,					_lowerCAmelCase							:							List[Any]     ,					_lowerCAmelCase							:							str	) ->			int:




     """simple docstring"""
     assert (
         self.heap[self.idx_of_element[node]].val > new_value
     ), "newValue must be less that current value"
     snake_case_            =       new_value
     snake_case_            =       new_value
     self.sift_up(self.idx_of_element[node]	)






SCREAMING_SNAKE_CASE						:Dict			=  Node('''R''', -1)
SCREAMING_SNAKE_CASE						:List[Any]			=  Node('''B''', 6)
SCREAMING_SNAKE_CASE						:List[str]			=  Node('''A''', 3)
SCREAMING_SNAKE_CASE						:Optional[Any]			=  Node('''X''', 1)
SCREAMING_SNAKE_CASE						:List[Any]			=  Node('''E''', 4)

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

# Generating Min-Heap from array
SCREAMING_SNAKE_CASE						:Union[str, 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 unittest

from accelerate import debug_launcher
from accelerate.test_utils import require_cpu, test_ops, test_script


@require_cpu
class SCREAMING_SNAKE_CASE	(		unittest.TestCase				):






			"""simple docstring"""




			def       __lowerCAmelCase			(     self				):

				"""simple docstring"""


				debug_launcher(test_script.main				)







			def       __lowerCAmelCase			(     self				):

				"""simple docstring"""


				debug_launcher(test_ops.main				)
