'''simple docstring'''

class     _lowercase					:


 '''simple docstring'''






 def __init__(				self       :     Any				,	SCREAMING_SNAKE_CASE__       :     Optional[int]							)  ->   str:
  __lowerCAmelCase    							=						val
  # Number of nodes in left subtree
  __lowerCAmelCase    							=						0
  __lowerCAmelCase    							=						None
  __lowerCAmelCase    							=						None
  __lowerCAmelCase    							=						None





 def a (				self       :     str				,	SCREAMING_SNAKE_CASE__       :     List[Any]							)  ->   int:
  assert self.left_tree_size == other.left_tree_size, "Unequal Sizes of Blocks"

  if self.val < other.val:
   __lowerCAmelCase    							=						self.right
   __lowerCAmelCase    							=						None
   if self.right:
    __lowerCAmelCase    							=						other
   __lowerCAmelCase    							=						other
   __lowerCAmelCase    							=						self.left_tree_size * 2 + 1
   return self
  else:
   __lowerCAmelCase    							=						other.right
   __lowerCAmelCase    							=						None
   if other.right:
    __lowerCAmelCase    							=						self
   __lowerCAmelCase    							=						self
   __lowerCAmelCase    							=						other.left_tree_size * 2 + 1
   return other







class     _lowercase					:


 '''simple docstring'''






 def __init__(				self       :     Optional[int]				,	SCREAMING_SNAKE_CASE__       :     Dict=None				,	SCREAMING_SNAKE_CASE__       :     List[str]=None				,	SCREAMING_SNAKE_CASE__       :     Dict=0							)  ->   Any:
  __lowerCAmelCase    							=						heap_size
  __lowerCAmelCase    							=						bottom_root
  __lowerCAmelCase    							=						min_node
 def a (				self       :     Optional[int]				,	SCREAMING_SNAKE_CASE__       :     int							)  ->   int:

  # Empty heaps corner cases
  if other.size == 0:
   return None
  if self.size == 0:
   __lowerCAmelCase    							=						other.size
   __lowerCAmelCase    							=						other.bottom_root
   __lowerCAmelCase    							=						other.min_node
   return None
  # Update size
  __lowerCAmelCase    							=						self.size + other.size

  # Update min.node
  if self.min_node.val > other.min_node.val:
   __lowerCAmelCase    							=						other.min_node
  # Merge

  # Order roots by left_subtree_size
  __lowerCAmelCase    							=						[]
  __lowerCAmelCase							,	__lowerCAmelCase    							=						self.bottom_root, other.bottom_root
  while i or j:
   if i and ((not j) or i.left_tree_size < j.left_tree_size):
    combined_roots_list.append((i, True)							)
    __lowerCAmelCase    							=						i.parent
   else:
    combined_roots_list.append((j, False)							)
    __lowerCAmelCase    							=						j.parent
        # Insert links between them
  for i in range(len(SCREAMING_SNAKE_CASE__							) - 1							):
   if combined_roots_list[i][1] != combined_roots_list[i + 1][1]:
    __lowerCAmelCase    							=						combined_roots_list[i + 1][0]
    __lowerCAmelCase    							=						combined_roots_list[i][0]
        # Consecutively merge roots with same left_tree_size
  __lowerCAmelCase    							=						combined_roots_list[0][0]
  while i.parent:
   if (
       (i.left_tree_size == i.parent.left_tree_size) and (not i.parent.parent)
   ) or (
       i.left_tree_size == i.parent.left_tree_size
       and i.left_tree_size != i.parent.parent.left_tree_size
   ):
    # Neighbouring Nodes
    __lowerCAmelCase    							=						i.left
    __lowerCAmelCase    							=						i.parent.parent

    # Merging trees
    __lowerCAmelCase    							=						i.merge_trees(i.parent							)

    # Updating links
    __lowerCAmelCase    							=						previous_node
    __lowerCAmelCase    							=						next_node
    if previous_node:
     __lowerCAmelCase    							=						i
    if next_node:
     __lowerCAmelCase    							=						i
   else:
    __lowerCAmelCase    							=						i.parent
        # Updating self.bottom_root
  while i.left:
   __lowerCAmelCase    							=						i.left
  __lowerCAmelCase    							=						i

  # Update other
  __lowerCAmelCase    							=						self.size
  __lowerCAmelCase    							=						self.bottom_root
  __lowerCAmelCase    							=						self.min_node

  # Return the merged heap
  return self
 def a (				self       :     Tuple				,	SCREAMING_SNAKE_CASE__       :     Optional[Any]							)  ->   Optional[Any]:
  if self.size == 0:
   __lowerCAmelCase    							=						Node(SCREAMING_SNAKE_CASE__							)
   __lowerCAmelCase    							=						1
   __lowerCAmelCase    							=						self.bottom_root
  else:
   # Create new node
   __lowerCAmelCase    							=						Node(SCREAMING_SNAKE_CASE__							)

   # Update size
   self.size += 1

   # update min_node
   if val < self.min_node.val:
    __lowerCAmelCase    							=						new_node
   # Put new_node as a bottom_root in heap
   __lowerCAmelCase    							=						new_node
   __lowerCAmelCase    							=						self.bottom_root
   __lowerCAmelCase    							=						new_node

   # Consecutively merge roots with same left_tree_size
   while (
       self.bottom_root.parent
       and self.bottom_root.left_tree_size
       == self.bottom_root.parent.left_tree_size
   ):
    # Next node
    __lowerCAmelCase    							=						self.bottom_root.parent.parent

    # Merge
    __lowerCAmelCase    							=						self.bottom_root.merge_trees(self.bottom_root.parent							)

    # Update Links
    __lowerCAmelCase    							=						next_node
    __lowerCAmelCase    							=						None
    if next_node:
     __lowerCAmelCase    							=						self.bottom_root
 def a (				self       :     Any							)  ->   Tuple:
  return self.min_node.val
 def a (				self       :     Tuple							)  ->   Tuple:
  return self.size == 0
 def a (				self       :     Union[str, Any]							)  ->   Optional[Any]:
  __lowerCAmelCase    							=						self.min_node.val

  # Last element in heap corner case
  if self.size == 1:
   # Update size
   __lowerCAmelCase    							=						0

   # Update bottom root
   __lowerCAmelCase    							=						None

   # Update min_node
   __lowerCAmelCase    							=						None

   return min_value
  # No right subtree corner case
  # The structure of the tree implies that this should be the bottom root
  # and there is at least one other root
  if self.min_node.right is None:
   # Update size
   self.size -= 1

   # Update bottom root
   __lowerCAmelCase    							=						self.bottom_root.parent
   __lowerCAmelCase    							=						None

   # Update min_node
   __lowerCAmelCase    							=						self.bottom_root
   __lowerCAmelCase    							=						self.bottom_root.parent
   while i:
    if i.val < self.min_node.val:
     __lowerCAmelCase    							=						i
    __lowerCAmelCase    							=						i.parent
   return min_value
  # General case
  # Find the BinomialHeap of the right subtree of min_node
  __lowerCAmelCase    							=						self.min_node.right
  __lowerCAmelCase    							=						None
  __lowerCAmelCase    							=						bottom_of_new
  __lowerCAmelCase    							=						1

  # Size, min_node and bottom_root
  while bottom_of_new.left:
   __lowerCAmelCase    							=						size_of_new * 2 + 1
   __lowerCAmelCase    							=						bottom_of_new.left
   if bottom_of_new.val < min_of_new.val:
    __lowerCAmelCase    							=						bottom_of_new
        # Corner case of single root on top left path
  if (not self.min_node.left) and (not self.min_node.parent):
   __lowerCAmelCase    							=						size_of_new
   __lowerCAmelCase    							=						bottom_of_new
   __lowerCAmelCase    							=						min_of_new
   # print("Single root, multiple nodes case")
   return min_value
  # Remaining cases
  # Construct heap of right subtree
  __lowerCAmelCase    							=						BinomialHeap(
      bottom_root=SCREAMING_SNAKE_CASE__				,	min_node=SCREAMING_SNAKE_CASE__				,	heap_size=SCREAMING_SNAKE_CASE__							)

  # Update size
  __lowerCAmelCase    							=						self.size - 1 - size_of_new

  # Neighbour nodes
  __lowerCAmelCase    							=						self.min_node.left
  __lowerCAmelCase    							=						self.min_node.parent

  # Initialize new bottom_root and min_node
  __lowerCAmelCase    							=						previous_node or next_node
  __lowerCAmelCase    							=						next_node

  # Update links of previous_node and search below for new min_node and
  # bottom_root
  if previous_node:
   __lowerCAmelCase    							=						next_node

   # Update bottom_root and search for min_node below
   __lowerCAmelCase    							=						previous_node
   __lowerCAmelCase    							=						previous_node
   while self.bottom_root.left:
    __lowerCAmelCase    							=						self.bottom_root.left
    if self.bottom_root.val < self.min_node.val:
     __lowerCAmelCase    							=						self.bottom_root
  if next_node:
   __lowerCAmelCase    							=						previous_node

   # Search for new min_node above min_node
   __lowerCAmelCase    							=						next_node
   while i:
    if i.val < self.min_node.val:
     __lowerCAmelCase    							=						i
    __lowerCAmelCase    							=						i.parent
        # Merge heaps
  self.merge_heaps(SCREAMING_SNAKE_CASE__							)

  return min_value
 def a (				self       :     List[str]							)  ->   str:
  __lowerCAmelCase    							=						self.bottom_root
  while top_root.parent:
   __lowerCAmelCase    							=						top_root.parent
  # preorder
  __lowerCAmelCase    							=						[]
  self.__traversal(SCREAMING_SNAKE_CASE__				,	SCREAMING_SNAKE_CASE__							)
  return heap_pre_order
 def a (				self       :     Any				,	SCREAMING_SNAKE_CASE__       :     List[Any]				,	SCREAMING_SNAKE_CASE__       :     Tuple				,	SCREAMING_SNAKE_CASE__       :     List[str]=0							)  ->   Tuple:
  if curr_node:
   preorder.append((curr_node.val, level)							)
   self.__traversal(curr_node.left				,	SCREAMING_SNAKE_CASE__				,	level + 1							)
   self.__traversal(curr_node.right				,	SCREAMING_SNAKE_CASE__				,	level + 1							)
  else:
   preorder.append(("""#""", level)							)





 def __str__(				self       :     str							)  ->   str:
  if self.is_empty():
   return ""
  __lowerCAmelCase    							=						self.pre_order()

  return "\n".join(("""-""" * level + str(SCREAMING_SNAKE_CASE__							)) for value, level in preorder_heap							)


# Unit Tests
if __name__ == "__main__":
 import doctest

 doctest.testmod()







'''simple docstring'''

from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_speech_available,
    is_torch_available,
)


_A      :				Optional[int] 				=    {
    '''configuration_speech_to_text_2''': ['''SPEECH_TO_TEXT_2_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''Speech2Text2Config'''],
    '''processing_speech_to_text_2''': ['''Speech2Text2Processor'''],
    '''tokenization_speech_to_text_2''': ['''Speech2Text2Tokenizer'''],
}


try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _A      :				Any 				=    [
     '''SPEECH_TO_TEXT_2_PRETRAINED_MODEL_ARCHIVE_LIST''',
     '''Speech2Text2ForCausalLM''',
     '''Speech2Text2PreTrainedModel''',
 ]


if TYPE_CHECKING:
 from .configuration_speech_to_text_a import SPEECH_TO_TEXT_2_PRETRAINED_CONFIG_ARCHIVE_MAP, SpeechaTextaConfig
 from .processing_speech_to_text_a import SpeechaTextaProcessor
 from .tokenization_speech_to_text_a import SpeechaTextaTokenizer

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_speech_to_text_a import (
      SPEECH_TO_TEXT_2_PRETRAINED_MODEL_ARCHIVE_LIST,
      SpeechaTextaForCausalLM,
      SpeechaTextaPreTrainedModel,
  )

else:
 import sys

 _A      :				Tuple 				=    _LazyModule(__name__, globals()['''__file__'''], _import_structure, module_spec=__spec__)






