


from __future__ import annotations

from random import random






class    UpperCAmelCase__	:



    """simple docstring"""






    def __init__(      self ,       A_ = None   )  ->	Tuple:
         __UpperCamelCase   							=value
         __UpperCamelCase   							=random()
         __UpperCamelCase   							=None
         __UpperCamelCase   							=None






    def __repr__(      self   )  ->	str:
         from pprint import pformat

         if self.left is None and self.right is None:
              return f'\'{self.value}: {self.prior:.5}\''
         else:
              return pformat(
                  {f'{self.value}: {self.prior:.5}': (self.left, self.right)} ,       indent=1   )






    def __str__(      self   )  ->	str:
         __UpperCamelCase   							=str(self.value   ) + ' '
         __UpperCamelCase   							=str(self.left or ''   )
         __UpperCamelCase   							=str(self.right or ''   )
         return value + left + right

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None      ,					SCREAMING_SNAKE_CASE__      : int    ):
     if root is None:  # None tree is split into 2 Nones
          return None, None
     elif root.value is None:
          return None, None
     else:
          if value < root.value:
               __UpperCamelCase							,				__UpperCamelCase   							=split(root.left      ,					SCREAMING_SNAKE_CASE__    )
               return left, root
          else:
               __UpperCamelCase							,				__UpperCamelCase   							=split(root.right      ,					SCREAMING_SNAKE_CASE__    )
               return root, right

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None      ,					SCREAMING_SNAKE_CASE__      : Node | None    ):
     if (not left) or (not right):  # If one node is None, return the other
          return left or right
     elif left.prior < right.prior:
          __UpperCamelCase   							=merge(left.right      ,					SCREAMING_SNAKE_CASE__    )
          return left
     else:
          __UpperCamelCase   							=merge(SCREAMING_SNAKE_CASE__      ,					right.left    )
          return right

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None      ,					SCREAMING_SNAKE_CASE__      : int    ):
     __UpperCamelCase   							=Node(SCREAMING_SNAKE_CASE__    )
     __UpperCamelCase							,				__UpperCamelCase   							=split(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )
     return merge(merge(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )      ,					SCREAMING_SNAKE_CASE__    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None      ,					SCREAMING_SNAKE_CASE__      : int    ):
     __UpperCamelCase							,				__UpperCamelCase   							=split(SCREAMING_SNAKE_CASE__      ,					value - 1    )
     __UpperCamelCase							,				__UpperCamelCase   							=split(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )
     return merge(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None    ):
     if not root:  # None
          return
     else:
          inorder(root.left    )
          print(root.value      ,					end=','    )
          inorder(root.right    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Node | None      ,					SCREAMING_SNAKE_CASE__      : str    ):
     for arg in args.split():
          if arg[0] == "+":
               __UpperCamelCase   							=insert(SCREAMING_SNAKE_CASE__      ,					int(arg[1:]    )    )

          elif arg[0] == "-":
               __UpperCamelCase   							=erase(SCREAMING_SNAKE_CASE__      ,					int(arg[1:]    )    )

          else:
               print('Unknown command'    )

     return root

def 						_UpperCAmelCase    (      ):
     __UpperCamelCase   							=None
     print(
         'enter numbers to create a tree, + value to add value into treap, '
         '- value to erase all nodes with value. \'q\' to quit. '    )

     __UpperCamelCase   							=input()
     while args != "q":
          __UpperCamelCase   							=interact_treap(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )
          print(SCREAMING_SNAKE_CASE__    )
          __UpperCamelCase   							=input()

     print('good by!'    )


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()









# Copyright 2021 The HuggingFace Team. All rights reserved.
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
#     http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.

import argparse

from ...utils.dataclasses import (
    ComputeEnvironment,
    DistributedType,
    DynamoBackend,
    PrecisionType,
    SageMakerDistributedType,
)
from ..menu import BulletMenu


_A			=						[
    'EAGER',
    'AOT_EAGER',
    'INDUCTOR',
    'NVFUSER',
    'AOT_NVFUSER',
    'AOT_CUDAGRAPHS',
    'OFI',
    'FX2TRT',
    'ONNXRT',
    'IPEX',
]

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Optional[int]      ,					SCREAMING_SNAKE_CASE__      : Optional[Any]=None      ,					SCREAMING_SNAKE_CASE__      : Optional[Any]=None      ,					SCREAMING_SNAKE_CASE__      : str=None    ):
     __UpperCamelCase   							=True
     while ask_again:
          __UpperCamelCase   							=input(SCREAMING_SNAKE_CASE__    )
          try:
               if default is not None and len(SCREAMING_SNAKE_CASE__    ) == 0:
                    return default
               return convert_value(SCREAMING_SNAKE_CASE__    ) if convert_value is not None else result
          except Exception:
               if error_message is not None:
                    print(SCREAMING_SNAKE_CASE__    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : List[Any]      ,					SCREAMING_SNAKE_CASE__      : List[str]=[]      ,					SCREAMING_SNAKE_CASE__      : Union[str, Any]=None      ,					SCREAMING_SNAKE_CASE__      : str=0    ):
     __UpperCamelCase   							=BulletMenu(SCREAMING_SNAKE_CASE__      ,					SCREAMING_SNAKE_CASE__    )
     __UpperCamelCase   							=menu.run(default_choice=SCREAMING_SNAKE_CASE__    )
     return convert_value(SCREAMING_SNAKE_CASE__    ) if convert_value is not None else result

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Union[str, Any]    ):
     __UpperCamelCase   							=int(SCREAMING_SNAKE_CASE__    )
     return ComputeEnvironment(['LOCAL_MACHINE', 'AMAZON_SAGEMAKER'][value]    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : List[str]    ):
     __UpperCamelCase   							=int(SCREAMING_SNAKE_CASE__    )
     return DistributedType(['NO', 'MULTI_CPU', 'MULTI_XPU', 'MULTI_GPU', 'MULTI_NPU', 'TPU'][value]    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Optional[int]    ):
     __UpperCamelCase   							=int(SCREAMING_SNAKE_CASE__    )
     return DynamoBackend(DYNAMO_BACKENDS[value]    ).value

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Dict    ):
     __UpperCamelCase   							=int(SCREAMING_SNAKE_CASE__    )
     return PrecisionType(['no', 'fp16', 'bf16', 'fp8'][value]    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Optional[Any]    ):
     __UpperCamelCase   							=int(SCREAMING_SNAKE_CASE__    )
     return SageMakerDistributedType(['NO', 'DATA_PARALLEL', 'MODEL_PARALLEL'][value]    )

def 						_UpperCAmelCase    (      SCREAMING_SNAKE_CASE__      : Any    ):
     return {"yes": True, "no": False}[value.lower()]






class    UpperCAmelCase__	( argparse.RawDescriptionHelpFormatter		):



    """simple docstring"""






    def _a (      self ,       A_ ,       A_ ,       A_ ,       A_   )  ->	Optional[int]:
         __UpperCamelCase   							=super()._format_usage(A_ ,       A_ ,       A_ ,       A_   )
         __UpperCamelCase   							=usage.replace('<command> [<args>] ' ,       ''   )
         return usage





