




"""simple docstring"""




from __future__ import annotations

from random import random






class 					__magic_name__							:






				'''simple docstring'''





				def __init__( self	,				_a = None				):





							"""simple docstring"""
							lowerCamelCase       =      value
							lowerCamelCase       =      random()
							lowerCamelCase       =      None
							lowerCamelCase       =      None





				def __repr__( self				):





							"""simple docstring"""
							from pprint import pformat

							if self.left is None and self.right is None:
										return f'\'{self.value}: {self.prior:.5}\''
							else:
										return pformat(
										    {f'{self.value}: {self.prior:.5}': (self.left, self.right)}	,				indent=1				)





				def __str__( self				):





							"""simple docstring"""
							lowerCamelCase       =      str(self.value				) + """ """
							lowerCamelCase       =      str(self.left or """"""				)
							lowerCamelCase       =      str(self.right or """"""				)
							return value + left + right




def 					a__				(       snake_case__ ,				snake_case__       )		->      List[Any]:
			if root is None:  # None tree is split into 2 Nones
						return None, None
			elif root.value is None:
						return None, None
			else:
						if value < root.value:
									lowerCamelCase   ,     lowerCamelCase       =      split(root.left ,				_lowerCAmelCase       )
									return left, root
						else:
									lowerCamelCase   ,     lowerCamelCase       =      split(root.right ,				_lowerCAmelCase       )
									return root, right



def 					a__				(       snake_case__ ,				snake_case__       )		->      int:
			if (not left) or (not right):  # If one node is None, return the other
						return left or right
			elif left.prior < right.prior:
						lowerCamelCase       =      merge(left.right ,				_lowerCAmelCase       )
						return left
			else:
						lowerCamelCase       =      merge(_lowerCAmelCase ,				right.left       )
						return right



def 					a__				(       snake_case__ ,				snake_case__       )		->      str:
			lowerCamelCase       =      Node(_lowerCAmelCase       )
			lowerCamelCase   ,     lowerCamelCase       =      split(_lowerCAmelCase ,				_lowerCAmelCase       )
			return merge(merge(_lowerCAmelCase ,				_lowerCAmelCase       ) ,				_lowerCAmelCase       )



def 					a__				(       snake_case__ ,				snake_case__       )		->      Dict:
			lowerCamelCase   ,     lowerCamelCase       =      split(_lowerCAmelCase ,				value - 1       )
			lowerCamelCase   ,     lowerCamelCase       =      split(_lowerCAmelCase ,				_lowerCAmelCase       )
			return merge(_lowerCAmelCase ,				_lowerCAmelCase       )



def 					a__				(       snake_case__       )		->      List[str]:
			if not root:  # None
						return
			else:
						inorder(root.left       )
						print(root.value ,				end=""","""       )
						inorder(root.right       )



def 					a__				(       snake_case__ ,				snake_case__       )		->      int:
			for arg in args.split():
						if arg[0] == "+":
									lowerCamelCase       =      insert(_lowerCAmelCase ,				int(arg[1:]       )       )

						elif arg[0] == "-":
									lowerCamelCase       =      erase(_lowerCAmelCase ,				int(arg[1:]       )       )

						else:
									print("""Unknown command"""       )

			return root



def 					a__				(       )		->      Optional[Any]:
			lowerCamelCase       =      None
			print(
			    """enter numbers to create a tree, + value to add value into treap, """
			    """- value to erase all nodes with value. \'q\' to quit. """       )

			lowerCamelCase       =      input()
			while args != "q":
						lowerCamelCase       =      interact_treap(_lowerCAmelCase ,				_lowerCAmelCase       )
						print(_lowerCAmelCase       )
						lowerCamelCase       =      input()

			print("""good by!"""       )


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					main()









"""simple docstring"""




from __future__ import annotations

lowerCAmelCase							:    str  							=							[-10, -5, 0, 5, 5.1, 11, 13, 21, 3, 4, -21, -10, -5, -1, 0]
lowerCAmelCase							:    Dict  							=							[-5, 0, 5, 5.1, 11, 13, 21, -1, 4, -1, -10, -5, -1, 0, -1]



def 					a__				(       snake_case__       )		->      list[float]:
			lowerCamelCase       =      []
			lowerCamelCase       =      len(snake_case__       )

			for i in range(snake_case__       ):
						lowerCamelCase       =      -1
						for j in range(i + 1 ,				snake_case__       ):
									if arr[i] < arr[j]:
												lowerCamelCase       =      arr[j]
												break
						result.append(snake_case__       )
			return result



def 					a__				(       snake_case__       )		->      list[float]:
			lowerCamelCase       =      []
			for i, outer in enumerate(snake_case__       ):
						lowerCamelCase       =      -1
						for inner in arr[i + 1 :]:
									if outer < inner:
												lowerCamelCase       =      inner
												break
						result.append(snake_case__       )
			return result



def 					a__				(       snake_case__       )		->      list[float]:
			lowerCamelCase       =      len(snake_case__       )
			lowerCamelCase       =      []
			lowerCamelCase       =      [-1] * arr_size

			for index in reversed(range(snake_case__       )       ):
						if stack:
									while stack[-1] <= arr[index]:
												stack.pop()
												if not stack:
															break
						if stack:
									lowerCamelCase       =      stack[-1]
						stack.append(arr[index]       )
			return result


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

					testmod()
					print(next_greatest_element_slow(arr))
					print(next_greatest_element_fast(arr))
					print(next_greatest_element(arr))

					lowerCAmelCase							:    Dict  							=							(
					    """from __main__ import arr, next_greatest_element_slow, """
					    """next_greatest_element_fast, next_greatest_element"""
					)
					print(
					    """next_greatest_element_slow():""",
					    timeit("""next_greatest_element_slow(arr)""", setup=setup),
					)
					print(
					    """next_greatest_element_fast():""",
					    timeit("""next_greatest_element_fast(arr)""", setup=setup),
					)
					print(
					    """     next_greatest_element():""",
					    timeit("""next_greatest_element(arr)""", setup=setup),
					)



