
from __future__ import annotations

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

snake_case_      :					Dict				      =     TypeVar('T', bound=bool)





class 		__lowerCamelCase     (   Generic[T]		):



							def __init__(     self	,				__snake_case							)						->     None:






								"""simple docstring"""



								UpperCAmelCase:					T 						=     value
								UpperCAmelCase:					RandomizedHeapNode[T] | None 						=     None
								UpperCAmelCase:					RandomizedHeapNode[T] | None 						=     None



							@property
							def     A__ (     self							)						->     T:






								"""simple docstring"""



								return self._value




							@staticmethod
							def     A__ (     __snake_case	,				__snake_case							)						->     RandomizedHeapNode[T] | None:






								"""simple docstring"""



								if not roota:
									return roota

								if not roota:
									return roota

								if roota.value > roota.value:
									UpperCAmelCase						,   UpperCAmelCase:					str 						=     roota, roota

								if random.choice([True, False]							):
									UpperCAmelCase						,   UpperCAmelCase:					List[str] 						=     roota.right, roota.left

								UpperCAmelCase:					List[str] 						=     RandomizedHeapNode.merge(roota.left	,				__snake_case							)

								return roota





class 		__lowerCamelCase     (   Generic[T]		):



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






								"""simple docstring"""



								UpperCAmelCase:					RandomizedHeapNode[T] | None 						=     None

								if data:
									for item in data:
										self.insert(__snake_case							)



							def     A__ (     self	,				__snake_case							)						->     None:






								"""simple docstring"""



								UpperCAmelCase:					str 						=     RandomizedHeapNode.merge(self._root	,				RandomizedHeapNode(__snake_case							)							)



							def     A__ (     self							)						->     T | None:






								"""simple docstring"""



								UpperCAmelCase:					Dict 						=     self.top()

								if self._root is None:
									return None

								UpperCAmelCase:					List[str] 						=     RandomizedHeapNode.merge(self._root.left	,				self._root.right							)

								return result



							def     A__ (     self							)						->     T:






								"""simple docstring"""



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



							def     A__ (     self							)						->     None:






								"""simple docstring"""



								UpperCAmelCase:					Union[str, Any] 						=     None



							def     A__ (     self							)						->     list[Any]:






								"""simple docstring"""



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

								return result




							def __bool__(     self							)						->     bool:






								"""simple docstring"""



								return self._root is not None


if __name__ == "__main__":
	import doctest

	doctest.testmod()


def      __UpperCAmelCase    (  snake_case_							:		str				):



	'''simple docstring'''



	UpperCAmelCase:					Tuple 						=     str(snake_case_				).strip()
	if not bin_string:
		raise ValueError("Empty string was passed to the function"				)
	UpperCAmelCase:					List[Any] 						=     bin_string[0] == "-"
	if is_negative:
		UpperCAmelCase:					Optional[int] 						=     bin_string[1:]
	if not all(char in "01" for char in bin_string				):
		raise ValueError("Non-binary value was passed to the function"				)
	UpperCAmelCase:					List[str] 						=     0
	for char in bin_string:
		UpperCAmelCase:					Union[str, Any] 						=     2 * decimal_number + int(snake_case_				)
	return -decimal_number if is_negative else decimal_number


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

	testmod()
