



"""simple docstring"""






from __future__ import annotations

import math
import random
from typing import Any






class        __snake_case       :




  def __init__( self     :						List[str]		):






         """simple docstring"""






         _lowerCamelCase						:				list[Any]    			= []
         _lowerCamelCase						:				int    			= 0
         _lowerCamelCase						:				int    			= 0




  def 						SCREAMING_SNAKE_CASE				( self     :						Any		):






         """simple docstring"""






         return self.head == self.tail




  def 						SCREAMING_SNAKE_CASE				( self     :						Union[str, Any]						,					__lowerCAmelCase     :						Any		):






         """simple docstring"""






         self.data.append(lowercase_		)
         _lowerCamelCase						:				Dict    			= self.tail + 1




  def 						SCREAMING_SNAKE_CASE				( self     :						Tuple		):






         """simple docstring"""






         _lowerCamelCase						:				Tuple    			= self.data[self.head]
         _lowerCamelCase						:				List[Any]    			= self.head + 1
         return ret




  def 						SCREAMING_SNAKE_CASE				( self     :						Tuple		):






         """simple docstring"""






         return self.tail - self.head




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[Any]		):






         """simple docstring"""






         print(self.data		)
         print('''**************'''		)
         print(self.data[self.head : self.tail]		)






class        __snake_case       :




  def __init__( self     :						int						,					__lowerCAmelCase     :						Any		):






         """simple docstring"""






         _lowerCamelCase						:				int    			= data
         _lowerCamelCase						:				MyNode | None    			= None
         _lowerCamelCase						:				MyNode | None    			= None
         _lowerCamelCase						:				int    			= 1




  def 						SCREAMING_SNAKE_CASE				( self     :						List[str]		):






         """simple docstring"""






         return self.data




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[int]		):






         """simple docstring"""






         return self.left




  def 						SCREAMING_SNAKE_CASE				( self     :						Dict		):






         """simple docstring"""






         return self.right




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[Any]		):






         """simple docstring"""






         return self.height




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[Any]						,					__lowerCAmelCase     :						Any		):






         """simple docstring"""






         _lowerCamelCase						:				Dict    			= data




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[int]						,					__lowerCAmelCase     :						MyNode | None		):






         """simple docstring"""






         _lowerCamelCase						:				List[str]    			= node




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[int]						,					__lowerCAmelCase     :						MyNode | None		):






         """simple docstring"""






         _lowerCamelCase						:				int    			= node




  def 						SCREAMING_SNAKE_CASE				( self     :						Optional[Any]						,					__lowerCAmelCase     :						int		):






         """simple docstring"""






         _lowerCamelCase						:				Dict    			= height






def        snake_case_  (      A_					:		MyNode | None						):


       '''simple docstring'''





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






def        snake_case_  (      A_					:		int,				A_					:		int						):


       '''simple docstring'''





       if a > b:
              return a
       return b






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       print('''left rotation node:''',				node.get_data()						)
       _lowerCamelCase						:				Union[str, Any]    			= node.get_left()
       assert ret is not None
       node.set_left(ret.get_right()						)
       ret.set_right(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				int    			= my_max(get_height(node.get_right()						),				get_height(node.get_left()						)						) + 1
       node.set_height(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				str    			= my_max(get_height(ret.get_right()						),				get_height(ret.get_left()						)						) + 1
       ret.set_height(SCREAMING_SNAKE_CASE__						)
       return ret






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       print('''right rotation node:''',				node.get_data()						)
       _lowerCamelCase						:				str    			= node.get_right()
       assert ret is not None
       node.set_right(ret.get_left()						)
       ret.set_left(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				List[str]    			= my_max(get_height(node.get_right()						),				get_height(node.get_left()						)						) + 1
       node.set_height(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				Union[str, Any]    			= my_max(get_height(ret.get_right()						),				get_height(ret.get_left()						)						) + 1
       ret.set_height(SCREAMING_SNAKE_CASE__						)
       return ret






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       _lowerCamelCase						:				str    			= node.get_left()
       assert left_child is not None
       node.set_left(left_rotation(SCREAMING_SNAKE_CASE__						)						)
       return right_rotation(SCREAMING_SNAKE_CASE__						)






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       _lowerCamelCase						:				Dict    			= node.get_right()
       assert right_child is not None
       node.set_right(right_rotation(SCREAMING_SNAKE_CASE__						)						)
       return left_rotation(SCREAMING_SNAKE_CASE__						)






def        snake_case_  (      A_					:		MyNode | None,				A_					:		Any						):


       '''simple docstring'''





       if node is None:
              return MyNode(SCREAMING_SNAKE_CASE__						)
       if data < node.get_data():
              node.set_left(insert_node(node.get_left(),				SCREAMING_SNAKE_CASE__						)						)
              if (
                  get_height(node.get_left()						) - get_height(node.get_right()						) == 2
              ):  # an unbalance detected
                     _lowerCamelCase						:				Optional[Any]    			= 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
                            _lowerCamelCase						:				Any    			= right_rotation(SCREAMING_SNAKE_CASE__						)
                     else:
                            _lowerCamelCase						:				List[str]    			= lr_rotation(SCREAMING_SNAKE_CASE__						)
       else:
              node.set_right(insert_node(node.get_right(),				SCREAMING_SNAKE_CASE__						)						)
              if get_height(node.get_right()						) - get_height(node.get_left()						) == 2:
                     _lowerCamelCase						:				Dict    			= node.get_right()
                     assert right_child is not None
                     if data < right_child.get_data():
                            _lowerCamelCase						:				Tuple    			= rl_rotation(SCREAMING_SNAKE_CASE__						)
                     else:
                            _lowerCamelCase						:				Union[str, Any]    			= left_rotation(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				Union[str, Any]    			= my_max(get_height(node.get_right()						),				get_height(node.get_left()						)						) + 1
       node.set_height(SCREAMING_SNAKE_CASE__						)
       return node






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       while True:
              _lowerCamelCase						:				List[str]    			= root.get_right()
              if right_child is None:
                     break
              _lowerCamelCase						:				Optional[Any]    			= right_child
       return root.get_data()






def        snake_case_  (      A_					:		MyNode						):


       '''simple docstring'''





       while True:
              _lowerCamelCase						:				str    			= root.get_left()
              if left_child is None:
                     break
              _lowerCamelCase						:				Optional[int]    			= left_child
       return root.get_data()






def        snake_case_  (      A_					:		MyNode,				A_					:		Any						):


       '''simple docstring'''





       _lowerCamelCase						:				Tuple    			= root.get_left()
       _lowerCamelCase						:				int    			= root.get_right()
       if root.get_data() == data:
              if left_child is not None and right_child is not None:
                     _lowerCamelCase						:				Optional[Any]    			= get_left_most(SCREAMING_SNAKE_CASE__						)
                     root.set_data(SCREAMING_SNAKE_CASE__						)
                     root.set_right(del_node(SCREAMING_SNAKE_CASE__,				SCREAMING_SNAKE_CASE__						)						)
              elif left_child is not None:
                     _lowerCamelCase						:				Tuple    			= left_child
              elif right_child is not None:
                     _lowerCamelCase						:				Optional[Any]    			= 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(SCREAMING_SNAKE_CASE__,				SCREAMING_SNAKE_CASE__						)						)
       else:  # root.get_data() < data
              if right_child is None:
                     return root
              else:
                     root.set_right(del_node(SCREAMING_SNAKE_CASE__,				SCREAMING_SNAKE_CASE__						)						)

       if get_height(SCREAMING_SNAKE_CASE__						) - get_height(SCREAMING_SNAKE_CASE__						) == 2:
              assert right_child is not None
              if get_height(right_child.get_right()						) > get_height(right_child.get_left()						):
                     _lowerCamelCase						:				Any    			= left_rotation(SCREAMING_SNAKE_CASE__						)
              else:
                     _lowerCamelCase						:				int    			= rl_rotation(SCREAMING_SNAKE_CASE__						)
       elif get_height(SCREAMING_SNAKE_CASE__						) - get_height(SCREAMING_SNAKE_CASE__						) == -2:
              assert left_child is not None
              if get_height(left_child.get_left()						) > get_height(left_child.get_right()						):
                     _lowerCamelCase						:				str    			= right_rotation(SCREAMING_SNAKE_CASE__						)
              else:
                     _lowerCamelCase						:				List[str]    			= lr_rotation(SCREAMING_SNAKE_CASE__						)
       _lowerCamelCase						:				Any    			= my_max(get_height(root.get_right()						),				get_height(root.get_left()						)						) + 1
       root.set_height(SCREAMING_SNAKE_CASE__						)
       return root






class        __snake_case       :




  def __init__( self     :						Optional[Any]		):






         """simple docstring"""






         _lowerCamelCase						:				MyNode | None    			= None




  def 						SCREAMING_SNAKE_CASE				( self     :						str		):






         """simple docstring"""






         return get_height(self.root		)




  def 						SCREAMING_SNAKE_CASE				( self     :						Any						,					__lowerCAmelCase     :						Any		):






         """simple docstring"""






         print('''insert:''' + str(lowercase_		)		)
         _lowerCamelCase						:				Optional[Any]    			= insert_node(self.root						,					lowercase_		)




  def 						SCREAMING_SNAKE_CASE				( self     :						int						,					__lowerCAmelCase     :						Any		):






         """simple docstring"""






         print('''delete:''' + str(lowercase_		)		)
         if self.root is None:
                print('''Tree is empty!'''		)
                return
         _lowerCamelCase						:				Union[str, Any]    			= del_node(self.root						,					lowercase_		)




  def __str__( self     :						List[str]						,					):  # a level traversale, gives a more intuitive look on the tree






         """simple docstring"""






         _lowerCamelCase						:				Optional[Any]    			= ''
         _lowerCamelCase						:				List[str]    			= MyQueue()
         q.push(self.root		)
         _lowerCamelCase						:				Dict    			= self.get_height()
         if layer == 0:
                return output
         _lowerCamelCase						:				str    			= 0
         while not q.is_empty():
                _lowerCamelCase						:				Optional[Any]    			= q.pop()
                _lowerCamelCase						:				List[str]    			= ' ' * int(math.pow(2						,					layer - 1		)		)
                output += space
                if node is None:
                       output += "*"
                       q.push(lowercase_		)
                       q.push(lowercase_		)
                else:
                       output += str(node.get_data()		)
                       q.push(node.get_left()		)
                       q.push(node.get_right()		)
                output += space
                _lowerCamelCase						:				str    			= cnt + 1
                for i in range(1_0_0		):
                       if cnt == math.pow(2						,					lowercase_		) - 1:
                              _lowerCamelCase						:				int    			= layer - 1
                              if layer == 0:
                                     output += "\n*************************************"
                                     return output
                              output += "\n"
                              break
         output += "\n*************************************"
         return output






def        snake_case_  (      ):


       '''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))






from sklearn.metrics import mean_squared_error

import datasets


lowerCamelCase											=       '\\n@article{scikit-learn,\n title={Scikit-learn: Machine Learning in {P}ython},\n author={Pedregosa, F. and Varoquaux, G. and Gramfort, A. and Michel, V.\n         and Thirion, B. and Grisel, O. and Blondel, M. and Prettenhofer, P.\n         and Weiss, R. and Dubourg, V. and Vanderplas, J. and Passos, A. and\n         Cournapeau, D. and Brucher, M. and Perrot, M. and Duchesnay, E.},\n journal={Journal of Machine Learning Research},\n volume={12},\n pages={2825--2830},\n year={2011}\n}\n'

lowerCamelCase											=       '\\nMean Squared Error(MSE) is the average of the square of difference between the predicted\nand actual values.\n'


lowerCamelCase											=       '\nArgs:\n    predictions: array-like of shape (n_samples,) or (n_samples, n_outputs)\n        Estimated target values.\n    references: array-like of shape (n_samples,) or (n_samples, n_outputs)\n        Ground truth (correct) target values.\n    sample_weight: array-like of shape (n_samples,), default=None\n        Sample weights.\n    multioutput: {"raw_values", "uniform_average"} or array-like of shape (n_outputs,), default="uniform_average"\n        Defines aggregating of multiple output values. Array-like value defines weights used to average errors.\n\n        "raw_values" : Returns a full set of errors in case of multioutput input.\n\n        "uniform_average" : Errors of all outputs are averaged with uniform weight.\n\n    squared : bool, default=True\n        If True returns MSE value, if False returns RMSE (Root Mean Squared Error) value.\n\nReturns:\n    mse : mean squared error.\nExamples:\n\n    >>> mse_metric = datasets.load_metric("mse")\n    >>> predictions = [2.5, 0.0, 2, 8]\n    >>> references = [3, -0.5, 2, 7]\n    >>> results = mse_metric.compute(predictions=predictions, references=references)\n    >>> print(results)\n    {\'mse\': 0.375}\n    >>> rmse_result = mse_metric.compute(predictions=predictions, references=references, squared=False)\n    >>> print(rmse_result)\n    {\'mse\': 0.6123724356957945}\n\n    If you\'re using multi-dimensional lists, then set the config as follows :\n\n    >>> mse_metric = datasets.load_metric("mse", "multilist")\n    >>> predictions = [[0.5, 1], [-1, 1], [7, -6]]\n    >>> references = [[0, 2], [-1, 2], [8, -5]]\n    >>> results = mse_metric.compute(predictions=predictions, references=references)\n    >>> print(results)\n    {\'mse\': 0.7083333333333334}\n    >>> results = mse_metric.compute(predictions=predictions, references=references, multioutput=\'raw_values\')\n    >>> print(results) # doctest: +NORMALIZE_WHITESPACE\n    {\'mse\': array([0.41666667, 1. ])}\n'




@datasets.utils.file_utils.add_start_docstrings(_DESCRIPTION    ,							_KWARGS_DESCRIPTION     )
class A  (   datasets.Metric     ):






      def        lowerCamelCase       (					self						:     List[Any] )					->						List[str]:
             """simple docstring"""




             return datasets.MetricInfo(
                 description=_DESCRIPTION			,   citation=_CITATION			,   inputs_description=_KWARGS_DESCRIPTION			,   features=datasets.Features(self._get_feature_types() )			,   reference_urls=[
                     'https://scikit-learn.org/stable/modules/generated/sklearn.metrics.mean_squared_error.html'
                 ]			,   )






      def        lowerCamelCase       (					self						:     Tuple )					->						Optional[int]:
             """simple docstring"""




             if self.config_name == "multilist":
                    return {
                        "predictions": datasets.Sequence(datasets.Value('float' ) ),
                        "references": datasets.Sequence(datasets.Value('float' ) ),
                    }
             else:
                    return {
                        "predictions": datasets.Value('float' ),
                        "references": datasets.Value('float' ),
                    }






      def        lowerCamelCase       (					self						:     List[Any]			,   lowercase_						:     List[Any]			,   lowercase_						:     Tuple			,   lowercase_						:     List[str]=None			,   lowercase_						:     Union[str, Any]="uniform_average"			,   lowercase_						:     Tuple=True )					->						Any:
             """simple docstring"""




             _lowerCamelCase       :		List[str]		=mean_squared_error(
                 lowercase_			,   lowercase_			,   sample_weight=lowercase_			,   multioutput=lowercase_			,   squared=lowercase_ )

             return {"mse": mse}


