





'''simple docstring'''

from __future__ import annotations

from random import random






class    UpperCAmelCase	:
 def __init__(				self      :List[Any]						,       lowercase_      :int | None = None							)->							Optional[Any]:
     A__				=			value
     A__				=			random()
     A__				=			None
     A__				=			None
 def __repr__(				self      :List[Any]							)->							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      :Optional[Any]							)->							str:
     A__				=			str(self.value							) + " "
     A__				=			str(self.left or ""							)
     A__				=			str(self.right or ""							)
     return value + left + right





def 						UpperCamelCase				(							_lowerCamelCase					:					Node | None						,       _lowerCamelCase					:					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:
            A__,	A__				=			split(root.left						,       _lowerCamelCase       )
            return left, root
        else:
            A__,	A__				=			split(root.right						,       _lowerCamelCase       )
            return root, right





def 						UpperCamelCase				(							_lowerCamelCase					:					Node | None						,       _lowerCamelCase					:					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:
        A__				=			merge(left.right						,       _lowerCamelCase       )
        return left
    else:
        A__				=			merge(_lowerCamelCase						,       right.left       )
        return right





def 						UpperCamelCase				(							_lowerCamelCase					:					Node | None						,       _lowerCamelCase					:					int       ):
    A__				=			Node(_lowerCamelCase       )
    A__,	A__				=			split(_lowerCamelCase						,       _lowerCamelCase       )
    return merge(merge(_lowerCamelCase						,       _lowerCamelCase       )						,       _lowerCamelCase       )





def 						UpperCamelCase				(							_lowerCamelCase					:					Node | None						,       _lowerCamelCase					:					int       ):
    A__,	A__				=			split(_lowerCamelCase						,       value - 1       )
    A__,	A__				=			split(_lowerCamelCase						,       _lowerCamelCase       )
    return merge(_lowerCamelCase						,       _lowerCamelCase       )





def 						UpperCamelCase				(							_lowerCamelCase					:					Node | None       ):
    if not root:  # None
        return
    else:
        inorder(root.left       )
        print(root.value						,       end=","       )
        inorder(root.right       )





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

        elif arg[0] == "-":
            A__				=			erase(_lowerCamelCase						,       int(arg[1:]       )       )

        else:
            print("Unknown command"       )

    return root





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

    A__				=			input()
    while args != "q":
        A__				=			interact_treap(_lowerCamelCase						,       _lowerCamelCase       )
        print(_lowerCamelCase       )
        A__				=			input()

    print("good by!"       )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()










'''simple docstring'''

import warnings


warnings.warn(
    "memory_utils has been reorganized to utils.memory. Import `find_executable_batchsize` from the main `__init__`: "
    "`from accelerate import find_executable_batch_size` to avoid this warning.",
    FutureWarning,
)



