



from __future__ import annotations

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

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

class    _SCREAMING_SNAKE_CASE						(Generic[T]			):





     def __init__(							self			:				List[Any]  ,	UpperCamelCase			:				T					)->None:
      __SCREAMING_SNAKE_CASE							:     T							=						value
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None





     @property
     def 						__snake_case     (							self			:				Dict					)->T:
      return self._value






     @staticmethod
     def 						__snake_case     (							UpperCamelCase			:				SkewNode[T] | None  ,	UpperCamelCase			:				SkewNode[T] | None					)->SkewNode[T] | None:
      if not roota:
       return roota

      if not roota:
       return roota

      if roota.value > roota.value:
       __SCREAMING_SNAKE_CASE,		__SCREAMING_SNAKE_CASE							:     List[Any]							=						roota, roota

      __SCREAMING_SNAKE_CASE							:     int							=						roota
      __SCREAMING_SNAKE_CASE							:     str							=						roota.right
      __SCREAMING_SNAKE_CASE							:     int							=						roota.left
      __SCREAMING_SNAKE_CASE							:     Optional[int]							=						SkewNode.merge(UpperCamelCase  ,	UpperCamelCase					)

      return result






class    _SCREAMING_SNAKE_CASE						(Generic[T]			):





     def __init__(							self			:				str  ,	UpperCamelCase			:				Iterable[T] | None = ()					)->None:
      __SCREAMING_SNAKE_CASE							:     SkewNode[T] | None							=						None
      if data:
       for item in data:
        self.insert(UpperCamelCase					)





     def __bool__(							self			:				str					)->bool:
      return self._root is not None





     def __iter__(							self			:				Any					)->Iterator[T]:
      __SCREAMING_SNAKE_CASE							:     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 						__snake_case     (							self			:				List[Any]  ,	UpperCamelCase			:				T					)->None:
      __SCREAMING_SNAKE_CASE							:     str							=						SkewNode.merge(self._root  ,	SkewNode(UpperCamelCase					)					)





     def 						__snake_case     (							self			:				List[Any]					)->T | None:
      __SCREAMING_SNAKE_CASE							:     Any							=						self.top()
      __SCREAMING_SNAKE_CASE							:     List[Any]							=						(
          SkewNode.merge(self._root.left  ,	self._root.right					) if self._root else None
      )

      return result





     def 						__snake_case     (							self			:				Optional[int]					)->T:
      if not self._root:
       raise IndexError("Can't get top element for the empty heap."					)
      return self._root.value






     def 						__snake_case     (							self			:				Dict					)->None:
      __SCREAMING_SNAKE_CASE							:     Optional[Any]							=						None


if __name__ == "__main__":
      import doctest

      doctest.testmod()











def 						_lowerCAmelCase    (					__lowerCamelCase :  int  ):



 """simple docstring"""





 if not isinstance(__lowerCamelCase		,						__lowerCamelCase  ):
  __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						(
      "operation can not be conducted on a object of type "
      F"""{type(__lowerCamelCase  ).__name__}"""
  )
  raise TypeError(__lowerCamelCase  )
 __SCREAMING_SNAKE_CASE							:     List[str]							=						""
 for _ in range(0		,						32  ):
  bit_string += str(number % 2  )
  __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						number >> 1
 return bit_string






def 						_lowerCAmelCase    (					__lowerCamelCase :  int  ):



 """simple docstring"""





 if number < 0:
  raise ValueError("the value of input must be positive"  )
 elif isinstance(__lowerCamelCase		,						__lowerCamelCase  ):
  raise TypeError("Input value must be a 'int' type"  )
 elif isinstance(__lowerCamelCase		,						__lowerCamelCase  ):
  raise TypeError("'<' not supported between instances of 'str' and 'int'"  )
 __SCREAMING_SNAKE_CASE							:     Any							=						0
 # iterator over [1 to 32],since we are dealing with 32 bit integer
 for _ in range(1		,						33  ):
  # left shift the bits by unity
  __SCREAMING_SNAKE_CASE							:     Optional[int]							=						result << 1
  # get the end bit
  __SCREAMING_SNAKE_CASE							:     Union[str, Any]							=						number % 2
  # right shift the bits by unity
  __SCREAMING_SNAKE_CASE							:     Optional[Any]							=						number >> 1
  # add that bit to our ans
  __SCREAMING_SNAKE_CASE							:     Optional[int]							=						result | end_bit
 return get_reverse_bit_string(__lowerCamelCase  )


if __name__ == "__main__":
      import doctest

      doctest.testmod()






