
'''simple docstring'''





from __future__ import annotations

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

a__		: Optional[Any]  							=							TypeVar("T", bound=bool)


class 			UpperCamelCase__	(     Generic[T]):






 def __init__(      self	:List[Any]						,					_A	:T      )					->      None:







       '''simple docstring'''



       __A													=      value
       __A													=      None
       __A													=      None






 @property
 def 						lowercase_    (      self	:Tuple      )					->      T:







       '''simple docstring'''



       return self._value






 @staticmethod
 def 						lowercase_    (      _A	:SkewNode[T] | None						,					_A	:SkewNode[T] | None      )					->      SkewNode[T] | None:







       '''simple docstring'''



       if not roota:
             return roota

       if not roota:
             return roota

       if roota.value > roota.value:
             __A						,   __A													=      roota, roota

       __A													=      roota
       __A													=      roota.right
       __A													=      roota.left
       __A													=      SkewNode.merge(_A						,					_A      )

       return result


class 			UpperCamelCase__	(     Generic[T]):






 def __init__(      self	:Optional[int]						,					_A	:Iterable[T] | None = ()      )					->      None:







       '''simple docstring'''



       __A													=      None
       if data:
             for item in data:
                   self.insert(_A      )






 def __bool__(      self	:List[str]      )					->      bool:







       '''simple docstring'''



       return self._root is not None






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







       '''simple docstring'''



       __A													=      []
       while self:
             result.append(self.pop()      )

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

       return iter(_A      )






 def 						lowercase_    (      self	:Tuple						,					_A	:T      )					->      None:







       '''simple docstring'''



       __A													=      SkewNode.merge(self._root						,					SkewNode(_A      )      )






 def 						lowercase_    (      self	:Dict      )					->      T | None:







       '''simple docstring'''



       __A													=      self.top()
       __A													=      (
           SkewNode.merge(self._root.left						,					self._root.right      ) if self._root else None
       )

       return result






 def 						lowercase_    (      self	:int      )					->      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	:int      )					->      None:







       '''simple docstring'''



       __A													=      None


if __name__ == "__main__":
 import doctest

 doctest.testmod()








"""simple docstring"""





import math
from timeit import timeit







def       __a	(						__lowerCamelCase    ):
   UpperCAmelCase_   :   Tuple     	=       0
   UpperCAmelCase_   :   Any     	=       abs(__lowerCamelCase    )
   while True:
      UpperCAmelCase_   :   Optional[int]     	=       n // 10
      digits += 1
      if n == 0:
         break
   return digits







def       __a	(						__lowerCamelCase    ):
   return 1 if n == 0 else math.floor(math.log(abs(__lowerCamelCase    ),						10    ) + 1    )







def       __a	(						__lowerCamelCase    ):
   return len(str(abs(__lowerCamelCase    )    )    )







def       __a	(						):
   from collections.abc import Callable

   def benchmark_a_function(__lowerCamelCase,						__lowerCamelCase    ) -> None:
      UpperCAmelCase_   :   Optional[Any]     	=       f"""{func.__name__}({value})"""
      UpperCAmelCase_   :   Optional[int]     	=       timeit(f"""__main__.{call}""",						setup="import __main__"    )
      print(f"""{call}: {func(__lowerCamelCase    )} -- {timing} seconds"""    )

   for value in (26_2144, 1125_8999_0684_2624, 126_7650_6002_2822_9401_4967_0320_5376):
      for func in (num_digits, num_digits_fast, num_digits_faster):
         benchmark_a_function(__lowerCamelCase,						__lowerCamelCase    )
      print()


if __name__ == "__main__":
    import doctest

    doctest.testmod()
    benchmark()


