


from __future__ import annotations

from random import random

class 			UpperCamelCase__			:






      def __init__(  self       : int,		__lowerCamelCase       : List[str] = None )	->			Any:
           UpperCamelCase__				:	Any										=  value
           UpperCamelCase__				:	List[Any]										=  random()
           UpperCamelCase__				:	Node | None										=  None
           UpperCamelCase__				:	Node | None										=  None






      def __repr__(  self       : Union[str, Any] )	->			Dict:
           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       : Tuple )	->			str:
           UpperCamelCase__				:	str										=  str(self.value ) + " "
           UpperCamelCase__				:	int										=  str(self.left or '''''' )
           UpperCamelCase__				:	Optional[Any]										=  str(self.right or '''''' )
           return value + left + right







def     _lowercase							(  __lowerCamelCase      :       List[Any]		,__lowerCamelCase      :       Tuple      )	-> tuple[Node | None, Node | None]:





     '''simple docstring'''





     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__				:	List[str]										=  split(root.left		,_lowerCAmelCase      )
               return left, root
          else:
               UpperCamelCase__				:	str										=  split(root.right		,_lowerCAmelCase      )
               return root, right







def     _lowercase							(  __lowerCamelCase      :       Dict		,__lowerCamelCase      :       int      )	-> Node | None:





     '''simple docstring'''





     if (not left) or (not right):  # If one node is None, return the other
          return left or right
     elif left.prior < right.prior:
          UpperCamelCase__				:	List[str]										=  merge(left.right		,_lowerCAmelCase      )
          return left
     else:
          UpperCamelCase__				:	Tuple										=  merge(_lowerCAmelCase		,right.left      )
          return right







def     _lowercase							(  __lowerCamelCase      :       Tuple		,__lowerCamelCase      :       Dict      )	-> Node | None:





     '''simple docstring'''





     UpperCamelCase__				:	Any										=  Node(_lowerCAmelCase      )
     UpperCamelCase__				:	Union[str, Any]										=  split(_lowerCAmelCase		,_lowerCAmelCase      )
     return merge(merge(_lowerCAmelCase		,_lowerCAmelCase      )		,_lowerCAmelCase      )







def     _lowercase							(  __lowerCamelCase      :       Any		,__lowerCamelCase      :       int      )	-> Node | None:





     '''simple docstring'''





     UpperCamelCase__				:	Any										=  split(_lowerCAmelCase		,value - 1      )
     UpperCamelCase__				:	Any										=  split(_lowerCAmelCase		,_lowerCAmelCase      )
     return merge(_lowerCAmelCase		,_lowerCAmelCase      )







def     _lowercase							(  __lowerCamelCase      :       Dict      )	-> None:





     '''simple docstring'''





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







def     _lowercase							(  __lowerCamelCase      :       List[str]		,__lowerCamelCase      :       Tuple      )	-> Node | None:





     '''simple docstring'''





     for arg in args.split():
          if arg[0] == "+":
               UpperCamelCase__				:	str										=  insert(_lowerCAmelCase		,int(arg[1:]      )      )

          elif arg[0] == "-":
               UpperCamelCase__				:	Optional[int]										=  erase(_lowerCAmelCase		,int(arg[1:]      )      )

          else:
               print('''Unknown command'''      )

     return root







def     _lowercase							(  )	-> None:





     '''simple docstring'''





     UpperCamelCase__				:	Tuple										=  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__				:	Dict										=  input()
     while args != "q":
          UpperCamelCase__				:	Any										=  interact_treap(_lowerCAmelCase		,_lowerCAmelCase      )
          print(_lowerCAmelCase      )
          UpperCamelCase__				:	str										=  input()

     print('''good by!'''      )


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   main()











from typing import TYPE_CHECKING

from ...utils import _LazyModule


__lowerCamelCase			:	str					    =	{"""tokenization_byt5""": ["""ByT5Tokenizer"""]}


if TYPE_CHECKING:
    from .tokenization_byta import ByTaTokenizer
else:
    import sys

    __lowerCamelCase			:	List[str]					    =	_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)
