






"""simple docstring"""





from __future__ import annotations

from collections.abc import Iterable, Iterator
from typing import Any, Generic, TypeVar

UpperCamelCase			=      TypeVar("""T""", bound=bool)







class 		_a       (						Generic[T]   ):





   '''simple docstring'''






   def __init__(   self			,				UpperCAmelCase_)	-> None:




          '''simple docstring'''




          lowercase__:    T        =      value
          lowercase__:    SkewNode[T] | None        =      None
          lowercase__:    SkewNode[T] | None        =      None





   @property
   def __lowercase    (   self)	-> T:




          '''simple docstring'''




          return self._value





   @staticmethod
   def __lowercase    (   UpperCAmelCase_			,				UpperCAmelCase_)	-> SkewNode[T] | None:




          '''simple docstring'''




          if not roota:
                 return roota

          if not roota:
                 return roota

          if roota.value > roota.value:
                 lowercase__  ,     lowercase__:    List[str]        =      roota, roota

          lowercase__:    str        =      roota
          lowercase__:    List[str]        =      roota.right
          lowercase__:    str        =      roota.left
          lowercase__:    Dict        =      SkewNode.merge(UpperCAmelCase_			,				UpperCAmelCase_)

          return result







class 		_a       (						Generic[T]   ):





   '''simple docstring'''






   def __init__(   self			,				UpperCAmelCase_ = ())	-> None:




          '''simple docstring'''




          lowercase__:    SkewNode[T] | None        =      None
          if data:
                 for item in data:
                        self.insert(UpperCAmelCase_)





   def __bool__(   self)	-> bool:




          '''simple docstring'''




          return self._root is not None





   def __iter__(   self)	-> Iterator[T]:




          '''simple docstring'''




          lowercase__:    list[Any]        =      []
          while self:
                 result.append(self.pop())

          # Pushing items back to the heap not to clear it.
          for item in result:
                 self.insert(UpperCAmelCase_)

          return iter(UpperCAmelCase_)





   def __lowercase    (   self			,				UpperCAmelCase_)	-> None:




          '''simple docstring'''




          lowercase__:    str        =      SkewNode.merge(self._root			,				SkewNode(UpperCAmelCase_))





   def __lowercase    (   self)	-> T | None:




          '''simple docstring'''




          lowercase__:    List[Any]        =      self.top()
          lowercase__:    str        =      (
              SkewNode.merge(self._root.left			,				self._root.right) if self._root else None
          )

          return result





   def __lowercase    (   self)	-> T:




          '''simple docstring'''




          if not self._root:
                 raise IndexError("Can't get top element for the empty heap.")
          return self._root.value





   def __lowercase    (   self)	-> None:




          '''simple docstring'''




          lowercase__:    List[Any]        =      None


if __name__ == "__main__":
  import doctest

  doctest.testmod()














"""simple docstring"""





def     A(  snake_case_						,       snake_case_		):
       """simple docstring"""





       assert isinstance(snake_case_						,       snake_case_		), F"""The input value of [set_a={set_a}] is not a set"""
       assert isinstance(snake_case_						,       snake_case_		), F"""The input value of [set_b={set_b}] is not a set"""

       return {a + b for a in set_a for b in set_b}


if __name__ == "__main__":
  from doctest import testmod

  testmod()






