
from __future__ import annotations

import math
import random
from typing import Any




class      __A:

  """simple docstring"""







  def __init__(self						):
       UpperCamelCase__				=    []
       UpperCamelCase__				=    0
       UpperCamelCase__				=    0







  def 	UpperCAmelCase_ (self						):
       return self.head == self.tail







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       self.data.append(SCREAMING_SNAKE_CASE_						)
       UpperCamelCase__				=    self.tail + 1







  def 	UpperCAmelCase_ (self						):
       UpperCamelCase__				=    self.data[self.head]
       UpperCamelCase__				=    self.head + 1
       return ret







  def 	UpperCAmelCase_ (self						):
       return self.tail - self.head







  def 	UpperCAmelCase_ (self						):
       print(self.data						)
       print("""**************"""						)
       print(self.data[self.head : self.tail]						)






class      __A:

  """simple docstring"""







  def __init__(self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    data
       UpperCamelCase__				=    None
       UpperCamelCase__				=    None
       UpperCamelCase__				=    1







  def 	UpperCAmelCase_ (self						):
       return self.data







  def 	UpperCAmelCase_ (self						):
       return self.left







  def 	UpperCAmelCase_ (self						):
       return self.right







  def 	UpperCAmelCase_ (self						):
       return self.height







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    data







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    node







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    node







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       UpperCamelCase__				=    height






def 						__magic_name__			(   __a      :	MyNode | None						):



     '''simple docstring'''




     if node is None:
          return 0
     return node.get_height()






def 						__magic_name__			(   __a      :	int	,		__a      :	int						):



     '''simple docstring'''




     if a > b:
          return a
     return b






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     print("""left rotation node:"""	,		node.get_data()						)
     UpperCamelCase__				=    node.get_left()
     assert ret is not None
     node.set_left(ret.get_right()						)
     ret.set_right(__a						)
     UpperCamelCase__				=    my_max(get_height(node.get_right()						)	,		get_height(node.get_left()						)						) + 1
     node.set_height(__a						)
     UpperCamelCase__				=    my_max(get_height(ret.get_right()						)	,		get_height(ret.get_left()						)						) + 1
     ret.set_height(__a						)
     return ret






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     print("""right rotation node:"""	,		node.get_data()						)
     UpperCamelCase__				=    node.get_right()
     assert ret is not None
     node.set_right(ret.get_left()						)
     ret.set_left(__a						)
     UpperCamelCase__				=    my_max(get_height(node.get_right()						)	,		get_height(node.get_left()						)						) + 1
     node.set_height(__a						)
     UpperCamelCase__				=    my_max(get_height(ret.get_right()						)	,		get_height(ret.get_left()						)						) + 1
     ret.set_height(__a						)
     return ret






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     UpperCamelCase__				=    node.get_left()
     assert left_child is not None
     node.set_left(left_rotation(__a						)						)
     return right_rotation(__a						)






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     UpperCamelCase__				=    node.get_right()
     assert right_child is not None
     node.set_right(right_rotation(__a						)						)
     return left_rotation(__a						)






def 						__magic_name__			(   __a      :	MyNode | None	,		__a      :	Any						):



     '''simple docstring'''




     if node is None:
          return MyNode(__a						)
     if data < node.get_data():
          node.set_left(insert_node(node.get_left()	,		__a						)						)
          if (
              get_height(node.get_left()						) - get_height(node.get_right()						) == 2
          ):  # an unbalance detected
               UpperCamelCase__				=    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
                    UpperCamelCase__				=    right_rotation(__a						)
               else:
                    UpperCamelCase__				=    lr_rotation(__a						)
     else:
          node.set_right(insert_node(node.get_right()	,		__a						)						)
          if get_height(node.get_right()						) - get_height(node.get_left()						) == 2:
               UpperCamelCase__				=    node.get_right()
               assert right_child is not None
               if data < right_child.get_data():
                    UpperCamelCase__				=    rl_rotation(__a						)
               else:
                    UpperCamelCase__				=    left_rotation(__a						)
     UpperCamelCase__				=    my_max(get_height(node.get_right()						)	,		get_height(node.get_left()						)						) + 1
     node.set_height(__a						)
     return node






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     while True:
          UpperCamelCase__				=    root.get_right()
          if right_child is None:
               break
          UpperCamelCase__				=    right_child
     return root.get_data()






def 						__magic_name__			(   __a      :	MyNode						):



     '''simple docstring'''




     while True:
          UpperCamelCase__				=    root.get_left()
          if left_child is None:
               break
          UpperCamelCase__				=    left_child
     return root.get_data()






def 						__magic_name__			(   __a      :	MyNode	,		__a      :	Any						):



     '''simple docstring'''




     UpperCamelCase__				=    root.get_left()
     UpperCamelCase__				=    root.get_right()
     if root.get_data() == data:
          if left_child is not None and right_child is not None:
               UpperCamelCase__				=    get_left_most(__a						)
               root.set_data(__a						)
               root.set_right(del_node(__a	,		__a						)						)
          elif left_child is not None:
               UpperCamelCase__				=    left_child
          elif right_child is not None:
               UpperCamelCase__				=    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(__a	,		__a						)						)
     else:  # root.get_data() < data
          if right_child is None:
               return root
          else:
               root.set_right(del_node(__a	,		__a						)						)

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




class      __A:

  """simple docstring"""







  def __init__(self						):
       UpperCamelCase__				=    None







  def 	UpperCAmelCase_ (self						):
       return get_height(self.root						)







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       print("""insert:""" + str(SCREAMING_SNAKE_CASE_						)						)
       UpperCamelCase__				=    insert_node(self.root	,      SCREAMING_SNAKE_CASE_						)







  def 	UpperCAmelCase_ (self	,      SCREAMING_SNAKE_CASE_						):
       print("""delete:""" + str(SCREAMING_SNAKE_CASE_						)						)
       if self.root is None:
            print("""Tree is empty!"""						)
            return
       UpperCamelCase__				=    del_node(self.root	,      SCREAMING_SNAKE_CASE_						)







  def __str__(self	,      ):  # a level traversale, gives a more intuitive look on the tree
       UpperCamelCase__				=    """"""
       UpperCamelCase__				=    MyQueue()
       q.push(self.root						)
       UpperCamelCase__				=    self.get_height()
       if layer == 0:
            return output
       UpperCamelCase__				=    0
       while not q.is_empty():
            UpperCamelCase__				=    q.pop()
            UpperCamelCase__				=    """ """ * int(math.pow(2	,      layer - 1						)						)
            output += space
            if node is None:
                 output += "*"
                 q.push(SCREAMING_SNAKE_CASE_						)
                 q.push(SCREAMING_SNAKE_CASE_						)
            else:
                 output += str(node.get_data()						)
                 q.push(node.get_left()						)
                 q.push(node.get_right()						)
            output += space
            UpperCamelCase__				=    cnt + 1
            for i in range(1_00						):
                 if cnt == math.pow(2	,      SCREAMING_SNAKE_CASE_						) - 1:
                      UpperCamelCase__				=    layer - 1
                      if layer == 0:
                           output += "\n*************************************"
                           return output
                      output += "\n"
                      break
       output += "\n*************************************"
       return output






def 						__magic_name__			(   ):



     '''simple docstring'''




     import doctest

     doctest.testmod()


if __name__ == "__main__":
    _test()
    lowerCamelCase_						     =					AVLtree()
    lowerCamelCase_						     =					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))







import argparse
from collections import defaultdict

import yaml


lowerCamelCase_						     =					'''docs/source/en/_toctree.yml'''






def 						__magic_name__			(   __a      :	Union[str, Any]						):



     '''simple docstring'''




     UpperCamelCase__				=    defaultdict(__a						)
     for doc in model_doc:
          counts[doc["local"]] += 1
     UpperCamelCase__				=    [key for key, value in counts.items() if value > 1]

     UpperCamelCase__				=    []
     for duplicate_key in duplicates:
          UpperCamelCase__				=    list({doc["""title"""] for doc in model_doc if doc["""local"""] == duplicate_key}						)
          if len(__a						) > 1:
               raise ValueError(
                   f"{duplicate_key} is present several times in the documentation table of content at "
                   """`docs/source/en/_toctree.yml` with different *Title* values. Choose one of those and remove the """
                   """others."""						)
          # Only add this once
          new_doc.append({"""local""": duplicate_key, """title""": titles[0]}						)

     # Add none duplicate-keys
     new_doc.extend([doc for doc in model_doc if counts[doc["""local"""]] == 1]						)

     # Sort
     return sorted(__a	,		key=lambda __a						: s["title"].lower()						)






def 						__magic_name__			(   __a      :	int=False						):



     '''simple docstring'''




     with open(__a	,		encoding="""utf-8"""						) as f:
          UpperCamelCase__				=    yaml.safe_load(f.read()						)

     # Get to the API doc
     UpperCamelCase__				=    0
     while content[api_idx]["title"] != "API":
          api_idx += 1
     UpperCamelCase__				=    content[api_idx]["""sections"""]

     # Then to the model doc
     UpperCamelCase__				=    0
     while api_doc[model_idx]["title"] != "Models":
          model_idx += 1

     UpperCamelCase__				=    api_doc[model_idx]["""sections"""]

     UpperCamelCase__				=    [(idx, section) for idx, section in enumerate(__a						) if """sections""" in section]
     UpperCamelCase__				=    False
     for idx, modality_doc in modalities_docs:
          UpperCamelCase__				=    modality_doc["""sections"""]
          UpperCamelCase__				=    clean_model_doc_toc(__a						)

          if old_modality_doc != new_modality_doc:
               UpperCamelCase__				=    True
               if overwrite:
                    UpperCamelCase__				=    new_modality_doc

     if diff:
          if overwrite:
               UpperCamelCase__				=    model_doc
               UpperCamelCase__				=    api_doc
               with open(__a	,		"""w"""	,		encoding="""utf-8"""						) as f:
                    f.write(yaml.dump(__a	,		allow_unicode=__a						)						)
          else:
               raise ValueError(
                   """The model doc part of the table of content is not properly sorted, run `make style` to fix this."""						)


if __name__ == "__main__":
    lowerCamelCase_						     =					argparse.ArgumentParser()
    parser.add_argument('''--fix_and_overwrite''', action='''store_true''', help='''Whether to fix inconsistencies.''')
    lowerCamelCase_						     =					parser.parse_args()

    check_model_doc(args.fix_and_overwrite)





