






from __future__ import annotations

import math
import random
from typing import Any

class 		_snake_case  :






   def __init__(       self)      ->       None:
      SCREAMING_SNAKE_CASE						= []
      SCREAMING_SNAKE_CASE						= 0
      SCREAMING_SNAKE_CASE						= 0






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       bool:
      return self.head == self.tail






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      self.data.append(a)
      SCREAMING_SNAKE_CASE						= self.tail + 1






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       Any:
      SCREAMING_SNAKE_CASE						= self.data[self.head]
      SCREAMING_SNAKE_CASE						= self.head + 1
      return ret






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       int:
      return self.tail - self.head







   def    SCREAMING_SNAKE_CASE__    (       self)      ->       None:
      print(self.data)
      print('**************')
      print(self.data[self.head : self.tail])



class 		_snake_case  :






   def __init__(       self		,					a)      ->       None:
      SCREAMING_SNAKE_CASE						= data
      SCREAMING_SNAKE_CASE						= None
      SCREAMING_SNAKE_CASE						= None
      SCREAMING_SNAKE_CASE						= 1






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       Any:
      return self.data






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       MyNode | None:
      return self.left






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       MyNode | None:
      return self.right






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       int:
      return self.height






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      SCREAMING_SNAKE_CASE						= data






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      SCREAMING_SNAKE_CASE						= node






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      SCREAMING_SNAKE_CASE						= node







   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      SCREAMING_SNAKE_CASE						= height






def 				lowerCamelCase__				(_UpperCAmelCase):
   if node is None:
      return 0
   return node.get_height()






def 				lowerCamelCase__				(_UpperCAmelCase							,       _UpperCAmelCase):
   if a > b:
      return a
   return b






def 				lowerCamelCase__				(_UpperCAmelCase):
   print('left rotation node:'							,       node.get_data())
   SCREAMING_SNAKE_CASE						= node.get_left()
   assert ret is not None
   node.set_left(ret.get_right())
   ret.set_right(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(node.get_right())							,       get_height(node.get_left())) + 1
   node.set_height(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(ret.get_right())							,       get_height(ret.get_left())) + 1
   ret.set_height(_UpperCAmelCase)
   return ret






def 				lowerCamelCase__				(_UpperCAmelCase):
   print('right rotation node:'							,       node.get_data())
   SCREAMING_SNAKE_CASE						= node.get_right()
   assert ret is not None
   node.set_right(ret.get_left())
   ret.set_left(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(node.get_right())							,       get_height(node.get_left())) + 1
   node.set_height(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(ret.get_right())							,       get_height(ret.get_left())) + 1
   ret.set_height(_UpperCAmelCase)
   return ret






def 				lowerCamelCase__				(_UpperCAmelCase):
   SCREAMING_SNAKE_CASE						= node.get_left()
   assert left_child is not None
   node.set_left(left_rotation(_UpperCAmelCase))
   return right_rotation(_UpperCAmelCase)






def 				lowerCamelCase__				(_UpperCAmelCase):
   SCREAMING_SNAKE_CASE						= node.get_right()
   assert right_child is not None
   node.set_right(right_rotation(_UpperCAmelCase))
   return left_rotation(_UpperCAmelCase)






def 				lowerCamelCase__				(_UpperCAmelCase							,       _UpperCAmelCase):
   if node is None:
      return MyNode(_UpperCAmelCase)
   if data < node.get_data():
      node.set_left(insert_node(node.get_left()							,       _UpperCAmelCase))
      if (
          get_height(node.get_left()) - get_height(node.get_right()) == 2
      ):  # an unbalance detected
         SCREAMING_SNAKE_CASE						= node.get_left()
         assert left_child is not None
         if (
             data < left_child.get_data()
         ):  # new node is the left child of the left child
            SCREAMING_SNAKE_CASE						= right_rotation(_UpperCAmelCase)
         else:
            SCREAMING_SNAKE_CASE						= lr_rotation(_UpperCAmelCase)
   else:
      node.set_right(insert_node(node.get_right()							,       _UpperCAmelCase))
      if get_height(node.get_right()) - get_height(node.get_left()) == 2:
         SCREAMING_SNAKE_CASE						= node.get_right()
         assert right_child is not None
         if data < right_child.get_data():
            SCREAMING_SNAKE_CASE						= rl_rotation(_UpperCAmelCase)
         else:
            SCREAMING_SNAKE_CASE						= left_rotation(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(node.get_right())							,       get_height(node.get_left())) + 1
   node.set_height(_UpperCAmelCase)
   return node






def 				lowerCamelCase__				(_UpperCAmelCase):
   while True:
      SCREAMING_SNAKE_CASE						= root.get_right()
      if right_child is None:
         break
      SCREAMING_SNAKE_CASE						= right_child
   return root.get_data()






def 				lowerCamelCase__				(_UpperCAmelCase):
   while True:
      SCREAMING_SNAKE_CASE						= root.get_left()
      if left_child is None:
         break
      SCREAMING_SNAKE_CASE						= left_child
   return root.get_data()






def 				lowerCamelCase__				(_UpperCAmelCase							,       _UpperCAmelCase):
   SCREAMING_SNAKE_CASE						= root.get_left()
   SCREAMING_SNAKE_CASE						= root.get_right()
   if root.get_data() == data:
      if left_child is not None and right_child is not None:
         SCREAMING_SNAKE_CASE						= get_left_most(_UpperCAmelCase)
         root.set_data(_UpperCAmelCase)
         root.set_right(del_node(_UpperCAmelCase							,       _UpperCAmelCase))
      elif left_child is not None:
         SCREAMING_SNAKE_CASE						= left_child
      elif right_child is not None:
         SCREAMING_SNAKE_CASE						= right_child
      else:
         return None
   elif root.get_data() > data:
      if left_child is None:
         print('No such data')
         return root
      else:
         root.set_left(del_node(_UpperCAmelCase							,       _UpperCAmelCase))
   else:  # root.get_data() < data
      if right_child is None:
         return root
      else:
         root.set_right(del_node(_UpperCAmelCase							,       _UpperCAmelCase))

   if get_height(_UpperCAmelCase) - get_height(_UpperCAmelCase) == 2:
      assert right_child is not None
      if get_height(right_child.get_right()) > get_height(right_child.get_left()):
         SCREAMING_SNAKE_CASE						= left_rotation(_UpperCAmelCase)
      else:
         SCREAMING_SNAKE_CASE						= rl_rotation(_UpperCAmelCase)
   elif get_height(_UpperCAmelCase) - get_height(_UpperCAmelCase) == -2:
      assert left_child is not None
      if get_height(left_child.get_left()) > get_height(left_child.get_right()):
         SCREAMING_SNAKE_CASE						= right_rotation(_UpperCAmelCase)
      else:
         SCREAMING_SNAKE_CASE						= lr_rotation(_UpperCAmelCase)
   SCREAMING_SNAKE_CASE						= my_max(get_height(root.get_right())							,       get_height(root.get_left())) + 1
   root.set_height(_UpperCAmelCase)
   return root

class 		_snake_case  :






   def __init__(       self)      ->       None:
      SCREAMING_SNAKE_CASE						= None






   def    SCREAMING_SNAKE_CASE__    (       self)      ->       int:
      return get_height(self.root)






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      print('insert:' + str(a))
      SCREAMING_SNAKE_CASE						= insert_node(self.root		,					a)






   def    SCREAMING_SNAKE_CASE__    (       self		,					a)      ->       None:
      print('delete:' + str(a))
      if self.root is None:
         print('Tree is empty!')
         return
      SCREAMING_SNAKE_CASE						= del_node(self.root		,					a)







   def __str__(       self		,					)      ->       str:  # a level traversale, gives a more intuitive look on the tree
      SCREAMING_SNAKE_CASE						= ''
      SCREAMING_SNAKE_CASE						= MyQueue()
      q.push(self.root)
      SCREAMING_SNAKE_CASE						= self.get_height()
      if layer == 0:
         return output
      SCREAMING_SNAKE_CASE						= 0
      while not q.is_empty():
         SCREAMING_SNAKE_CASE						= q.pop()
         SCREAMING_SNAKE_CASE						= ' ' * int(math.pow(2		,					layer - 1))
         output += space
         if node is None:
            output += "*"
            q.push(a)
            q.push(a)
         else:
            output += str(node.get_data())
            q.push(node.get_left())
            q.push(node.get_right())
         output += space
         SCREAMING_SNAKE_CASE						= cnt + 1
         for i in range(100):
            if cnt == math.pow(2		,					a) - 1:
               SCREAMING_SNAKE_CASE						= layer - 1
               if layer == 0:
                  output += "\n*************************************"
                  return output
               output += "\n"
               break
      output += "\n*************************************"
      return output






def 				lowerCamelCase__				():
   import doctest

   doctest.testmod()


if __name__ == "__main__":
    _test()
    a_		:						Dict             =    AVLtree()
    a_		:						Tuple             =    list(range(10))
    random.shuffle(lst)
    for i in lst:
        t.insert(i)
        print(str(t))
    random.shuffle(lst)
    for i in lst:
        t.del_node(i)
        print(str(t))












from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


a_		:						List[Any]             =    {
    'configuration_bigbird_pegasus': [
        'BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP',
        'BigBirdPegasusConfig',
        'BigBirdPegasusOnnxConfig',
    ],
}

try:
				if not is_torch_available():
								raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
				pass
else:
				a_		:						Dict             =    [
				    'BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST',
				    'BigBirdPegasusForCausalLM',
				    'BigBirdPegasusForConditionalGeneration',
				    'BigBirdPegasusForQuestionAnswering',
				    'BigBirdPegasusForSequenceClassification',
				    'BigBirdPegasusModel',
				    'BigBirdPegasusPreTrainedModel',
				]


if TYPE_CHECKING:
				from .configuration_bigbird_pegasus import (
				    BIGBIRD_PEGASUS_PRETRAINED_CONFIG_ARCHIVE_MAP,
				    BigBirdPegasusConfig,
				    BigBirdPegasusOnnxConfig,
				)

				try:
								if not is_torch_available():
												raise OptionalDependencyNotAvailable()
				except OptionalDependencyNotAvailable:
								pass
				else:
								from .modeling_bigbird_pegasus import (
								    BIGBIRD_PEGASUS_PRETRAINED_MODEL_ARCHIVE_LIST,
								    BigBirdPegasusForCausalLM,
								    BigBirdPegasusForConditionalGeneration,
								    BigBirdPegasusForQuestionAnswering,
								    BigBirdPegasusForSequenceClassification,
								    BigBirdPegasusModel,
								    BigBirdPegasusPreTrainedModel,
								)


else:
				import sys

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




