


'''simple docstring'''







from __future__ import annotations

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

A      :     Optional[Any]										= TypeVar('''T''', bound=bool)


class  __lowerCamelCase (       Generic[T]       ):
    """simple docstring"""


    def __init__(  self			:							Tuple      ,							SCREAMING_SNAKE_CASE			:							Tuple):
           _A     :	Optional[int]      =					value
           _A     :	int      =					None
           _A     :	Union[str, Any]      =					None


    @property
    def    A    (  self			:							Union[str, Any]):
           return self._value


    @staticmethod
    def    A    (  SCREAMING_SNAKE_CASE			:							Any      ,							SCREAMING_SNAKE_CASE			:							Optional[Any]):
           if not roota:
                  return roota

           if not roota:
                  return roota

           if roota.value > roota.value:
                  _A  , _A     :	Optional[Any]      =					roota, roota

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

           _A     :	int      =					RandomizedHeapNode.merge(roota.left      ,							__UpperCamelCase)

           return roota




class  __lowerCamelCase (       Generic[T]       ):
    """simple docstring"""


    def __init__(  self			:							Optional[int]      ,							SCREAMING_SNAKE_CASE			:							Optional[Any] = ()):
           _A     :	Optional[Any]      =					None

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


    def    A    (  self			:							Union[str, Any]      ,							SCREAMING_SNAKE_CASE			:							Union[str, Any]):
           _A     :	Union[str, Any]      =					RandomizedHeapNode.merge(self._root      ,							RandomizedHeapNode(__UpperCamelCase))


    def    A    (  self			:							List[str]):
           _A     :	List[Any]      =					self.top()

           if self._root is None:
                  return None

           _A     :	Any      =					RandomizedHeapNode.merge(self._root.left      ,							self._root.right)

           return result


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


    def    A    (  self			:							Optional[Any]):
           _A     :	List[Any]      =					None


    def    A    (  self			:							Tuple):
           _A     :	List[Any]      =					[]
           while self:
                  result.append(self.pop())

           return result


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


if __name__ == "__main__":
   import doctest

   doctest.testmod()












'''simple docstring'''







import unittest
from timeit import timeit






def 		_lowercase		(	lowercase_						,							lowercase_  ):



		'''simple docstring'''







		_snake_case	       =       first_num if first_num >= second_num else second_num
		_snake_case	       =       max_num
		while (common_mult % first_num > 0) or (common_mult % second_num > 0):
				common_mult += max_num
		return common_mult






def 		_lowercase		(	lowercase_						,							lowercase_  ):



		'''simple docstring'''







		return b if a == 0 else greatest_common_divisor(b % a						,							lowercase_  )






def 		_lowercase		(	lowercase_						,							lowercase_  ):



		'''simple docstring'''







		return first_num // greatest_common_divisor(lowercase_						,							lowercase_  ) * second_num






def 		_lowercase		(	):



		'''simple docstring'''







		_snake_case	       =       (
		    "from __main__ import least_common_multiple_slow, least_common_multiple_fast"
		)
		print(
		    "least_common_multiple_slow():"						,							timeit("least_common_multiple_slow(1000, 999)"						,							setup=lowercase_  )						,							)
		print(
		    "least_common_multiple_fast():"						,							timeit("least_common_multiple_fast(1000, 999)"						,							setup=lowercase_  )						,							)





class      lowerCamelCase_							(       unittest.TestCase							):




					'''simple docstring'''






					lowercase__    = (
					    (1_0, 2_0),
					    (1_3, 1_5),
					    (4, 3_1),
					    (1_0, 4_2),
					    (4_3, 3_4),
					    (5, 1_2),
					    (1_2, 2_5),
					    (1_0, 2_5),
					    (6, 9),
					)
					lowercase__    = (2_0, 1_9_5, 1_2_4, 2_1_0, 1_4_6_2, 6_0, 3_0_0, 5_0, 1_8)






					def 				__SCREAMING_SNAKE_CASE	(    self ):
							for i, (first_num, second_num) in enumerate(self.test_inputs ):
									_snake_case	       =       least_common_multiple_slow(__UpperCamelCase,  __UpperCamelCase )
									_snake_case	       =       least_common_multiple_fast(__UpperCamelCase,  __UpperCamelCase )
									with self.subTest(i=__UpperCamelCase ):
											self.assertEqual(__UpperCamelCase,  self.expected_results[i] )
											self.assertEqual(__UpperCamelCase,  self.expected_results[i] )


if __name__ == "__main__":
						benchmark()
						unittest.main()





