



'''simple docstring'''

class       __magic_name__		:







							def __init__(				self   :			List[str]      ,_UpperCAmelCase   :			Optional[int]      ,_UpperCAmelCase   :			int						):
									_a	: Optional[Any]								=				name
									_a	: str								=				val







							def __str__(				self   :			Any						):
									return F"""{self.__class__.__name__}({self.name}, {self.val})"""







							def __lt__(				self   :			str      ,_UpperCAmelCase   :			Optional[Any]						):
									return self.val < other.val

class       __magic_name__		:







							def __init__(				self   :			Dict      ,_UpperCAmelCase   :			Optional[int]						):
									_a	: Optional[int]								=				{}
									_a	: List[str]								=				{}
									_a	: Union[str, Any]								=				self.build_heap(_UpperCAmelCase						)







							def __getitem__(				self   :			str      ,_UpperCAmelCase   :			str						):
									return self.get_value(_UpperCAmelCase						)







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







							def 				__lowercase     (				self   :			Tuple      ,_UpperCAmelCase   :			Optional[int]						):
									return idx * 2 + 1







							def 				__lowercase     (				self   :			Union[str, Any]      ,_UpperCAmelCase   :			Tuple						):
									return idx * 2 + 2







							def 				__lowercase     (				self   :			int      ,_UpperCAmelCase   :			List[Any]						):
									return self.heap_dict[key]







							def 				__lowercase     (				self   :			Dict      ,_UpperCAmelCase   :			Any						):
									_a	: Optional[int]								=				len(_UpperCAmelCase						) - 1
									_a	: Optional[int]								=				self.get_parent_idx(_UpperCAmelCase						)

									for idx, i in enumerate(_UpperCAmelCase						):
											_a	: List[Any]								=				idx
											_a	: Tuple								=				i.val

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







							def 				__lowercase     (				self   :			Optional[Any]      ,_UpperCAmelCase   :			Optional[int]      ,_UpperCAmelCase   :			Tuple						):
									while True:
											_a	: Optional[int]								=				self.get_left_child_idx(_UpperCAmelCase						)  # noqa: E741
											_a	: Optional[int]								=				self.get_right_child_idx(_UpperCAmelCase						)

											_a	: Tuple								=				idx
											if l < len(_UpperCAmelCase						) and array[l] < array[idx]:
													_a	: List[str]								=				l
											if r < len(_UpperCAmelCase						) and array[r] < array[smallest]:
													_a	: Optional[int]								=				r

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







							def 				__lowercase     (				self   :			Union[str, Any]      ,_UpperCAmelCase   :			List[str]						):
									_a	: str								=				self.get_parent_idx(_UpperCAmelCase						)
									while p >= 0 and self.heap[p] > self.heap[idx]:
											_a			,   _a	: List[Any]								=				self.heap[idx], self.heap[p]
											_a			,   _a	: Optional[Any]								=				(
											    self.idx_of_element[self.heap[idx]],
											    self.idx_of_element[self.heap[p]],
											)
											_a	: Tuple								=				p
											_a	: int								=				self.get_parent_idx(_UpperCAmelCase						)







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







							def 				__lowercase     (				self   :			Any						):
									_a			,   _a	: int								=				self.heap[-1], self.heap[0]
									_a			,   _a	: str								=				(
									    self.idx_of_element[self.heap[-1]],
									    self.idx_of_element[self.heap[0]],
									)

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







							def 				__lowercase     (				self   :			str      ,_UpperCAmelCase   :			Optional[int]						):
									self.heap.append(_UpperCAmelCase						)
									_a	: Dict								=				len(self.heap						) - 1
									_a	: Tuple								=				node.val
									self.sift_up(len(self.heap						) - 1						)







							def 				__lowercase     (				self   :			int						):
									return len(self.heap						) == 0







							def 				__lowercase     (				self   :			int      ,_UpperCAmelCase   :			str      ,_UpperCAmelCase   :			Tuple						):
									assert (
									    self.heap[self.idx_of_element[node]].val > new_value
									), "newValue must be less that current value"
									_a	: Any								=				new_value
									_a	: Dict								=				new_value
									self.sift_up(self.idx_of_element[node]						)
__lowerCAmelCase		     =  Node('''R''', -1)
__lowerCAmelCase		     =  Node('''B''', 6)
__lowerCAmelCase		     =  Node('''A''', 3)
__lowerCAmelCase		     =  Node('''X''', 1)
__lowerCAmelCase		     =  Node('''E''', 4)

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

# Generating Min-Heap from array
__lowerCAmelCase		     =  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()









'''simple docstring'''

import re

from filelock import FileLock


try:
							import nltk

							__lowerCAmelCase		     =  True
except (ImportError, ModuleNotFoundError):
							__lowerCAmelCase		     =  False

if NLTK_AVAILABLE:
							with FileLock('''.lock''') as lock:
														nltk.download('''punkt''', quiet=True)



def 	__lowerCamelCase	( lowerCAmelCase_    )     -> str:
		re.sub('<n>'		,     ''		,     lowerCAmelCase_    )  # remove pegasus newline char
		assert NLTK_AVAILABLE, "nltk must be installed to separate newlines between sentences. (pip install nltk)"
		return "\n".join(nltk.sent_tokenize(lowerCAmelCase_    )    )




