
'''simple docstring'''

class       UpperCAmelCase					:





		"""simple docstring"""





		def __init__(     self	,       _snake_case	,       _snake_case  )					->     Dict:
				_UpperCamelCase							:			Optional[Any]     =   name
				_UpperCamelCase							:			int     =   val
		def __str__(     self  )					->     Optional[Any]:
				return F'''{self.__class__.__name__}({self.name}, {self.val})'''




		def __lt__(     self	,       _snake_case  )					->     Optional[Any]:
				return self.val < other.val







class       UpperCAmelCase					:





		"""simple docstring"""





		def __init__(     self	,       _snake_case  )					->     Union[str, Any]:
				_UpperCamelCase							:			Optional[Any]     =   {}
				_UpperCamelCase							:			Any     =   {}
				_UpperCamelCase							:			List[str]     =   self.build_heap(lowercase__  )
		def __getitem__(     self	,       _snake_case  )					->     Optional[Any]:
				return self.get_value(lowercase__  )
		def _lowercase	(     self	,       _snake_case  )					->     Union[str, Any]:
				return (idx - 1) // 2
		def _lowercase	(     self	,       _snake_case  )					->     Optional[int]:
				return idx * 2 + 1
		def _lowercase	(     self	,       _snake_case  )					->     Optional[int]:
				return idx * 2 + 2
		def _lowercase	(     self	,       _snake_case  )					->     List[str]:
				return self.heap_dict[key]
		def _lowercase	(     self	,       _snake_case  )					->     List[Any]:
				_UpperCamelCase							:			int     =   len(lowercase__  ) - 1
				_UpperCamelCase							:			Optional[int]     =   self.get_parent_idx(lowercase__  )

				for idx, i in enumerate(lowercase__  ):
						_UpperCamelCase							:			int     =   idx
						_UpperCamelCase							:			List[Any]     =   i.val

				for i in range(lowercase__	,       -1	,       -1  ):
						self.sift_down(lowercase__	,       lowercase__  )
				return array
		def _lowercase	(     self	,       _snake_case	,       _snake_case  )					->     Optional[Any]:



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

						_UpperCamelCase							:			Union[str, Any]     =   idx
						if l < len(lowercase__  ) and array[l] < array[idx]:
								_UpperCamelCase							:			List[Any]     =   l
						if r < len(lowercase__  ) and array[r] < array[smallest]:
								_UpperCamelCase							:			str     =   r

						if smallest != idx:
								_UpperCamelCase,				_UpperCamelCase							:			List[Any]     =   array[smallest], array[idx]
								(
								    (
								    _UpperCamelCase		
								),				(
								    _UpperCamelCase		
								),						
								)							:			List[Any]     =   (
								    self.idx_of_element[array[smallest]],
								    self.idx_of_element[array[idx]],
								)
								_UpperCamelCase							:			List[str]     =   smallest
						else:
								break
		def _lowercase	(     self	,       _snake_case  )					->     Dict:
				_UpperCamelCase							:			Any     =   self.get_parent_idx(lowercase__  )
				while p >= 0 and self.heap[p] > self.heap[idx]:
						_UpperCamelCase,				_UpperCamelCase							:			Optional[int]     =   self.heap[idx], self.heap[p]
						_UpperCamelCase,				_UpperCamelCase							:			Any     =   (
						    self.idx_of_element[self.heap[idx]],
						    self.idx_of_element[self.heap[p]],
						)
						_UpperCamelCase							:			Union[str, Any]     =   p
						_UpperCamelCase							:			List[Any]     =   self.get_parent_idx(lowercase__  )
		def _lowercase	(     self  )					->     Optional[int]:
				return self.heap[0]
		def _lowercase	(     self  )					->     Tuple:
				_UpperCamelCase,				_UpperCamelCase							:			Optional[int]     =   self.heap[-1], self.heap[0]
				_UpperCamelCase,				_UpperCamelCase							:			int     =   (
				    self.idx_of_element[self.heap[-1]],
				    self.idx_of_element[self.heap[0]],
				)

				_UpperCamelCase							:			Union[str, Any]     =   self.heap.pop()
				del self.idx_of_element[x]
				self.sift_down(0	,       self.heap  )
				return x
		def _lowercase	(     self	,       _snake_case  )					->     List[Any]:
				self.heap.append(lowercase__  )
				_UpperCamelCase							:			List[str]     =   len(self.heap  ) - 1
				_UpperCamelCase							:			str     =   node.val
				self.sift_up(len(self.heap  ) - 1  )
		def _lowercase	(     self  )					->     Tuple:
				return len(self.heap  ) == 0




		def _lowercase	(     self	,       _snake_case	,       _snake_case  )					->     Union[str, Any]:
				assert (
				    self.heap[self.idx_of_element[node]].val > new_value
				), "newValue must be less that current value"
				_UpperCamelCase							:			Tuple     =   new_value
				_UpperCamelCase							:			Union[str, Any]     =   new_value
				self.sift_up(self.idx_of_element[node]  )







_UpperCAmelCase :   Dict			    =	Node("""R""", -1)
_UpperCAmelCase :   int			    =	Node("""B""", 6)
_UpperCAmelCase :   Any			    =	Node("""A""", 3)
_UpperCAmelCase :   Dict			    =	Node("""X""", 1)
_UpperCAmelCase :   Tuple			    =	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 typing import TYPE_CHECKING

from ...utils import _LazyModule


_lowerCamelCase      :					Tuple					    =      {'''tokenization_byt5''': ['''ByT5Tokenizer''']}


if TYPE_CHECKING:
   from .tokenization_byta import ByTaTokenizer
else:
   import sys

   _lowerCamelCase      :					Optional[int]					    =      _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)


