





from __future__ import annotations

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

_SCREAMING_SNAKE_CASE   						=		TypeVar("""T""", bound=bool)
class SCREAMING_SNAKE_CASE_    (       Generic[T]       ):






						def __init__(   self   :   str		, _A   :   T						)				->     None:







							"""simple docstring"""


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






						@property
						def UpperCAmelCase_					(   self   :   List[Any]						)				->     T:







							"""simple docstring"""


							return self._value






						@staticmethod
						def UpperCAmelCase_					(   _A   :   RandomizedHeapNode[T] | None		, _A   :   RandomizedHeapNode[T] | None						)				->     RandomizedHeapNode[T] | None:







							"""simple docstring"""


							if not roota:
								return roota

							if not roota:
								return roota

							if roota.value > roota.value:
								snake_case_    ,snake_case_		:      Optional[int]           =						roota, roota

							if random.choice([True, False]						):
								snake_case_    ,snake_case_		:      Any           =						roota.right, roota.left

							snake_case_		:      List[str]           =						RandomizedHeapNode.merge(roota.left		, _A						)

							return roota
class SCREAMING_SNAKE_CASE_    (       Generic[T]       ):






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







							"""simple docstring"""


							snake_case_		:      RandomizedHeapNode[T] | None           =						None

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






						def UpperCAmelCase_					(   self   :   Union[str, Any]		, _A   :   T						)				->     None:







							"""simple docstring"""


							snake_case_		:      Optional[Any]           =						RandomizedHeapNode.merge(self._root		, RandomizedHeapNode(_A						)						)






						def UpperCAmelCase_					(   self   :   Tuple						)				->     T | None:







							"""simple docstring"""


							snake_case_		:      Union[str, Any]           =						self.top()

							if self._root is None:
								return None

							snake_case_		:      Tuple           =						RandomizedHeapNode.merge(self._root.left		, self._root.right						)

							return result






						def UpperCAmelCase_					(   self   :   str						)				->     T:







							"""simple docstring"""


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






						def UpperCAmelCase_					(   self   :   List[str]						)				->     None:







							"""simple docstring"""


							snake_case_		:      Union[str, Any]           =						None






						def UpperCAmelCase_					(   self   :   Union[str, Any]						)				->     list[Any]:







							"""simple docstring"""


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

							return result






						def __bool__(   self   :   str						)				->     bool:







							"""simple docstring"""


							return self._root is not None


if __name__ == "__main__":
						import doctest

						doctest.testmod()


def 	__lowerCamelCase							(				__a    : float		)      ->       float:
	return -num if num < 0 else num

def 	__lowerCamelCase							(				__a    : list[int]		)      ->       int:
	if len(__a		) == 0:
		raise ValueError("abs_min() arg is an empty sequence"		)
	_lowercase   =x[0]
	for i in x:
		if abs_val(__a		) < abs_val(__a		):
			_lowercase   =i
	return j

def 	__lowerCamelCase							(				__a    : list[int]		)      ->       int:
	if len(__a		) == 0:
		raise ValueError("abs_max() arg is an empty sequence"		)
	_lowercase   =x[0]
	for i in x:
		if abs(__a		) > abs(__a		):
			_lowercase   =i
	return j

def 	__lowerCamelCase							(				__a    : list[int]		)      ->       int:
	if len(__a		) == 0:
		raise ValueError("abs_max_sort() arg is an empty sequence"		)
	return sorted(__a      ,							key=__a		)[-1]

def 	__lowerCamelCase							(				)      ->       Optional[Any]:
	assert abs_val(0		) == 0
	assert abs_val(34		) == 34
	assert abs_val(-100_000_000_000		) == 100_000_000_000

	_lowercase   =[-3, -1, 2, -11]
	assert abs_max(__a		) == -11
	assert abs_max_sort(__a		) == -11
	assert abs_min(__a		) == -1


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						test_abs_val()
						print(abs_val(-3_4))  # --> 34




