


'''simple docstring'''






class 						a__							:





							'''simple docstring'''






							def __init__(						self   ,       lowerCamelCase_   ,       lowerCamelCase_  )			->				Union[str, Any]:
														lowerCAmelCase__			  =      name
														lowerCAmelCase__			  =      val







							def __str__(						self  )			->				Optional[int]:
														return F"""{self.__class__.__name__}({self.name}, {self.val})"""







							def __lt__(						self   ,       lowerCamelCase_  )			->				str:
														return self.val < other.val




class 						a__							:





							'''simple docstring'''






							def __init__(						self   ,       lowerCamelCase_  )			->				Optional[int]:
														lowerCAmelCase__			  =      {}
														lowerCAmelCase__			  =      {}
														lowerCAmelCase__			  =      self.build_heap(lowerCamelCase_  )







							def __getitem__(						self   ,       lowerCamelCase_  )			->				Optional[int]:
														return self.get_value(lowerCamelCase_  )







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Dict:
														return (idx - 1) // 2







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Dict:
														return idx * 2 + 1







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Optional[Any]:
														return idx * 2 + 2







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Any:
														return self.heap_dict[key]







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Optional[int]:
														lowerCAmelCase__			  =      len(lowerCamelCase_  ) - 1
														lowerCAmelCase__			  =      self.get_parent_idx(lowerCamelCase_  )

														for idx, i in enumerate(lowerCamelCase_  ):
																					lowerCAmelCase__			  =      idx
																					lowerCAmelCase__			  =      i.val

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







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_   ,       lowerCamelCase_  )			->				Any:
														while True:
																					lowerCAmelCase__			  =      self.get_left_child_idx(lowerCamelCase_  )  # noqa: E741
																					lowerCAmelCase__			  =      self.get_right_child_idx(lowerCamelCase_  )

																					lowerCAmelCase__			  =      idx
																					if l < len(lowerCamelCase_  ) and array[l] < array[idx]:
																												lowerCAmelCase__			  =      l
																					if r < len(lowerCamelCase_  ) and array[r] < array[smallest]:
																												lowerCAmelCase__			  =      r

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







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				List[str]:
														lowerCAmelCase__			  =      self.get_parent_idx(lowerCamelCase_  )
														while p >= 0 and self.heap[p] > self.heap[idx]:
																					lowerCAmelCase__  ,   lowerCAmelCase__			  =      self.heap[idx], self.heap[p]
																					lowerCAmelCase__  ,   lowerCAmelCase__			  =      (
																					    self.idx_of_element[self.heap[idx]],
																					    self.idx_of_element[self.heap[p]],
																					)
																					lowerCAmelCase__			  =      p
																					lowerCAmelCase__			  =      self.get_parent_idx(lowerCamelCase_  )







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Tuple:
														return self.heap[0]







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				List[str]:
														lowerCAmelCase__  ,   lowerCAmelCase__			  =      self.heap[-1], self.heap[0]
														lowerCAmelCase__  ,   lowerCAmelCase__			  =      (
														    self.idx_of_element[self.heap[-1]],
														    self.idx_of_element[self.heap[0]],
														)

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







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_  )			->				Tuple:
														self.heap.append(lowerCamelCase_  )
														lowerCAmelCase__			  =      len(self.heap  ) - 1
														lowerCAmelCase__			  =      node.val
														self.sift_up(len(self.heap  ) - 1  )







							def     __SCREAMING_SNAKE_CASE				(						self  )			->				Optional[Any]:
														return len(self.heap  ) == 0







							def     __SCREAMING_SNAKE_CASE				(						self   ,       lowerCamelCase_   ,       lowerCamelCase_  )			->				str:
														assert (
														    self.heap[self.idx_of_element[node]].val > new_value
														), "newValue must be less that current value"
														lowerCAmelCase__			  =      new_value
														lowerCAmelCase__			  =      new_value
														self.sift_up(self.idx_of_element[node]  )

__UpperCAmelCase       							=				Node('''R''', -1)
__UpperCAmelCase       							=				Node('''B''', 6)
__UpperCAmelCase       							=				Node('''A''', 3)
__UpperCAmelCase       							=				Node('''X''', 1)
__UpperCAmelCase       							=				Node('''E''', 4)

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

# Generating Min-Heap from array
__UpperCAmelCase       							=				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 unittest

import numpy as np

from transformers.testing_utils import require_flax, require_tf, require_torch
from transformers.utils import (
    expand_dims,
    flatten_dict,
    is_flax_available,
    is_tf_available,
    is_torch_available,
    reshape,
    squeeze,
    transpose,
)


if is_flax_available():
					import jax.numpy as jnp

if is_tf_available():
					import tensorflow as tf

if is_torch_available():
					import torch






class      A(  unittest.TestCase		):

		"""simple docstring"""





		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:List[str]					     =	{
					    '''task_specific_params''': {
					        '''summarization''': {'''length_penalty''': 1.0, '''max_length''': 1_28, '''min_length''': 12, '''num_beams''': 4},
					        '''summarization_cnn''': {'''length_penalty''': 2.0, '''max_length''': 1_42, '''min_length''': 56, '''num_beams''': 4},
					        '''summarization_xsum''': {'''length_penalty''': 1.0, '''max_length''': 62, '''min_length''': 11, '''num_beams''': 6},
					    }
					}
					_UpperCamelCase					:Union[str, Any]					     =	{
					    '''task_specific_params.summarization.length_penalty''': 1.0,
					    '''task_specific_params.summarization.max_length''': 1_28,
					    '''task_specific_params.summarization.min_length''': 12,
					    '''task_specific_params.summarization.num_beams''': 4,
					    '''task_specific_params.summarization_cnn.length_penalty''': 2.0,
					    '''task_specific_params.summarization_cnn.max_length''': 1_42,
					    '''task_specific_params.summarization_cnn.min_length''': 56,
					    '''task_specific_params.summarization_cnn.num_beams''': 4,
					    '''task_specific_params.summarization_xsum.length_penalty''': 1.0,
					    '''task_specific_params.summarization_xsum.max_length''': 62,
					    '''task_specific_params.summarization_xsum.min_length''': 11,
					    '''task_specific_params.summarization_xsum.num_beams''': 6,
					}

					self.assertEqual(flatten_dict(SCREAMING_SNAKE_CASE__   )					,				SCREAMING_SNAKE_CASE__   )
		def   _UpperCamelCase( self   )      ->	Any:

					"""simple docstring"""



					_UpperCamelCase					:Optional[int]					     =	np.random.randn(3					,				4   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__   )					,				x.transpose()   )   )

					_UpperCamelCase					:Tuple					     =	np.random.randn(3					,				4					,				5   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   )					,				x.transpose((1, 2, 0)   )   )   )
		@require_torch
		def   _UpperCamelCase( self   )      ->	str:

					"""simple docstring"""



					_UpperCamelCase					:Union[str, Any]					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:Any					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__   )					,				transpose(SCREAMING_SNAKE_CASE__   ).numpy()   )   )

					_UpperCamelCase					:int					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:Any					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   )					,				transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   ).numpy()   )   )
		@require_tf
		def   _UpperCamelCase( self   )      ->	Dict:

					"""simple docstring"""



					_UpperCamelCase					:Dict					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:List[str]					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__   )					,				transpose(SCREAMING_SNAKE_CASE__   ).numpy()   )   )

					_UpperCamelCase					:int					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:Dict					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   )					,				transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   ).numpy()   )   )
		@require_flax
		def   _UpperCamelCase( self   )      ->	str:

					"""simple docstring"""



					_UpperCamelCase					:int					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:Optional[Any]					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__   )					,				np.asarray(transpose(SCREAMING_SNAKE_CASE__   )   )   )   )

					_UpperCamelCase					:Dict					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:Dict					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   )					,				np.asarray(transpose(SCREAMING_SNAKE_CASE__					,				axes=(1, 2, 0)   )   )   )   )
		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:int					     =	np.random.randn(3					,				4   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )					,				np.reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )   )   )

					_UpperCamelCase					:Dict					     =	np.random.randn(3					,				4					,				5   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )					,				np.reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )   )   )
		@require_torch
		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:Union[str, Any]					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:Optional[Any]					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )					,				reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   ).numpy()   )   )

					_UpperCamelCase					:str					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:str					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )					,				reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   ).numpy()   )   )
		@require_tf
		def   _UpperCamelCase( self   )      ->	Tuple:

					"""simple docstring"""



					_UpperCamelCase					:Optional[int]					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:Dict					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )					,				reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   ).numpy()   )   )

					_UpperCamelCase					:Union[str, Any]					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:Optional[int]					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )					,				reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   ).numpy()   )   )
		@require_flax
		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:List[str]					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:str					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )					,				np.asarray(reshape(SCREAMING_SNAKE_CASE__					,				(4, 3)   )   )   )   )

					_UpperCamelCase					:Dict					     =	np.random.randn(3					,				4					,				5   )
					_UpperCamelCase					:Union[str, Any]					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )					,				np.asarray(reshape(SCREAMING_SNAKE_CASE__					,				(12, 5)   )   )   )   )
		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:Dict					     =	np.random.randn(1					,				3					,				4   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__   )					,				np.squeeze(SCREAMING_SNAKE_CASE__   )   )   )

					_UpperCamelCase					:List[Any]					     =	np.random.randn(1					,				4					,				1					,				5   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )					,				np.squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )   )   )
		@require_torch
		def   _UpperCamelCase( self   )      ->	Union[str, Any]:

					"""simple docstring"""



					_UpperCamelCase					:str					     =	np.random.randn(1					,				3					,				4   )
					_UpperCamelCase					:Any					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__   )					,				squeeze(SCREAMING_SNAKE_CASE__   ).numpy()   )   )

					_UpperCamelCase					:List[str]					     =	np.random.randn(1					,				4					,				1					,				5   )
					_UpperCamelCase					:List[Any]					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )					,				squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   ).numpy()   )   )
		@require_tf
		def   _UpperCamelCase( self   )      ->	int:

					"""simple docstring"""



					_UpperCamelCase					:str					     =	np.random.randn(1					,				3					,				4   )
					_UpperCamelCase					:str					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__   )					,				squeeze(SCREAMING_SNAKE_CASE__   ).numpy()   )   )

					_UpperCamelCase					:str					     =	np.random.randn(1					,				4					,				1					,				5   )
					_UpperCamelCase					:str					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )					,				squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   ).numpy()   )   )
		@require_flax
		def   _UpperCamelCase( self   )      ->	Optional[Any]:

					"""simple docstring"""



					_UpperCamelCase					:Union[str, Any]					     =	np.random.randn(1					,				3					,				4   )
					_UpperCamelCase					:Optional[Any]					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__   )					,				np.asarray(squeeze(SCREAMING_SNAKE_CASE__   )   )   )   )

					_UpperCamelCase					:Dict					     =	np.random.randn(1					,				4					,				1					,				5   )
					_UpperCamelCase					:int					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )					,				np.asarray(squeeze(SCREAMING_SNAKE_CASE__					,				axis=2   )   )   )   )
		def   _UpperCamelCase( self   )      ->	Tuple:

					"""simple docstring"""



					_UpperCamelCase					:Dict					     =	np.random.randn(3					,				4   )
					self.assertTrue(np.allclose(expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )					,				np.expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )   )   )
		@require_torch
		def   _UpperCamelCase( self   )      ->	Tuple:

					"""simple docstring"""



					_UpperCamelCase					:List[str]					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:Union[str, Any]					     =	torch.tensor(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )					,				expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   ).numpy()   )   )
		@require_tf
		def   _UpperCamelCase( self   )      ->	Optional[int]:

					"""simple docstring"""



					_UpperCamelCase					:str					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:int					     =	tf.constant(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )					,				expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   ).numpy()   )   )





		@require_flax
		def   _UpperCamelCase( self   )      ->	List[Any]:

					"""simple docstring"""



					_UpperCamelCase					:Tuple					     =	np.random.randn(3					,				4   )
					_UpperCamelCase					:str					     =	jnp.array(SCREAMING_SNAKE_CASE__   )
					self.assertTrue(np.allclose(expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )					,				np.asarray(expand_dims(SCREAMING_SNAKE_CASE__					,				axis=1   )   )   )   )

