'''simple docstring'''


from __future__ import annotations

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

snake_case__     :			List[Any]      			=  TypeVar('''T''', bound=bool)






class      __SCREAMING_SNAKE_CASE						(       Generic[T]       ):







  '''simple docstring'''






  def __init__( self      ,		snake_case_						):




       '''simple docstring'''

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


  @property
  def _UpperCamelCase     ( self						):




       '''simple docstring'''

       return self._value






  @staticmethod
  def _UpperCamelCase     ( snake_case_      ,		snake_case_						):




       '''simple docstring'''

       if not roota:
            return roota

       if not roota:
            return roota

       if roota.value > roota.value:
            UpperCAmelCase_   ,			UpperCAmelCase_							:   int   =      roota, roota

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

       return result







class      __SCREAMING_SNAKE_CASE						(       Generic[T]       ):







  '''simple docstring'''






  def __init__( self      ,		snake_case_ = ()						):




       '''simple docstring'''

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


  def __bool__( self						):




       '''simple docstring'''

       return self._root is not None


  def __iter__( self						):




       '''simple docstring'''

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

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

       return iter(snake_case_						)


  def _UpperCamelCase     ( self      ,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:   Union[str, Any]   =      SkewNode.merge(self._root      ,		SkewNode(snake_case_						)						)


  def _UpperCamelCase     ( self						):




       '''simple docstring'''

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

       return result


  def _UpperCamelCase     ( self						):




       '''simple docstring'''

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






  def _UpperCamelCase     ( self						):




       '''simple docstring'''

       UpperCAmelCase_							:   Any   =      None


if __name__ == "__main__":
 import doctest

 doctest.testmod()







'''simple docstring'''


def 					_lowerCamelCase    (      lowerCamelCase_					:							str   ):



     """simple docstring"""





     UpperCAmelCase_							:   str   =      str(lowerCamelCase_   ).strip()
     if not oct_string:
          raise ValueError('Empty string was passed to the function'   )
     UpperCAmelCase_							:   Tuple   =      oct_string[0] == '-'
     if is_negative:
          UpperCAmelCase_							:   Tuple   =      oct_string[1:]
     if not oct_string.isdigit() or not all(0 <= int(lowerCamelCase_   ) <= 7 for char in oct_string   ):
          raise ValueError('Non-octal value was passed to the function'   )
     UpperCAmelCase_							:   str   =      0
     for char in oct_string:
          UpperCAmelCase_							:   List[Any]   =      8 * decimal_number + int(lowerCamelCase_   )
     if is_negative:
          UpperCAmelCase_							:   List[Any]   =      -decimal_number
     return decimal_number


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

 testmod()






