






"""simple docstring"""

def _lowerCAmelCase	(  __lowerCamelCase:int   ):

						'''simple docstring'''






						assert (
						    isinstance(__lowerCamelCase ,						__lowerCamelCase   ) and number_of_steps > 0
						), f'''number_of_steps needs to be positive integer, your input {number_of_steps}'''
						if number_of_steps == 1:
												return 1
						__magic_name__      ,    __magic_name__            =     1, 1
						for _ in range(number_of_steps - 1   ):
												__magic_name__      ,    __magic_name__            =     current + previous, current
						return current


if __name__ == "__main__":
			import doctest

			doctest.testmod()











"""simple docstring"""

from copy import deepcopy

class 						A_							:







				def __init__(							self							:						List[str]						,    __lowerCamelCase							:						list[int] | None = None						,    __lowerCamelCase							:						int | None = None	)				->					None:

										if arr is None and size is not None:
																__magic_name__            =     size
																__magic_name__            =     [0] * size
										elif arr is not None:
																self.init(__lowerCamelCase	)
										else:
																raise ValueError("Either arr or size must be specified"	)







				def     _snake_case					(							self							:						Optional[int]						,    __lowerCamelCase							:						list[int]	)				->					None:
										__magic_name__            =     len(__lowerCamelCase	)
										__magic_name__            =     deepcopy(__lowerCamelCase	)
										for i in range(1						,    self.size	):
																__magic_name__            =     self.next_(__lowerCamelCase	)
																if j < self.size:
																						self.tree[j] += self.tree[i]







				def     _snake_case					(							self							:						Any	)				->					list[int]:
										__magic_name__            =     self.tree[:]
										for i in range(self.size - 1						,    0						,    -1	):
																__magic_name__            =     self.next_(__lowerCamelCase	)
																if j < self.size:
																						arr[j] -= arr[i]
										return arr







				@staticmethod
				def     _snake_case					(							__lowerCamelCase							:						int	)				->					int:
										return index + (index & (-index))







				@staticmethod
				def     _snake_case					(							__lowerCamelCase							:						int	)				->					int:
										return index - (index & (-index))







				def     _snake_case					(							self							:						Union[str, Any]						,    __lowerCamelCase							:						int						,    __lowerCamelCase							:						int	)				->					None:
										if index == 0:
																self.tree[0] += value
																return
										while index < self.size:
																self.tree[index] += value
																__magic_name__            =     self.next_(__lowerCamelCase	)







				def     _snake_case					(							self							:						Any						,    __lowerCamelCase							:						int						,    __lowerCamelCase							:						int	)				->					None:
										self.add(__lowerCamelCase						,    value - self.get(__lowerCamelCase	)	)







				def     _snake_case					(							self							:						List[Any]						,    __lowerCamelCase							:						int	)				->					int:
										if right == 0:
																return 0
										__magic_name__            =     self.tree[0]
										right -= 1  # make right inclusive
										while right > 0:
																result += self.tree[right]
																__magic_name__            =     self.prev(__lowerCamelCase	)
										return result







				def     _snake_case					(							self							:						Any						,    __lowerCamelCase							:						int						,    __lowerCamelCase							:						int	)				->					int:
										return self.prefix(__lowerCamelCase	) - self.prefix(__lowerCamelCase	)







				def     _snake_case					(							self							:						Tuple						,    __lowerCamelCase							:						int	)				->					int:
										return self.query(__lowerCamelCase						,    index + 1	)







				def     _snake_case					(							self							:						Tuple						,    __lowerCamelCase							:						int	)				->					int:
										value -= self.tree[0]
										if value < 0:
																return -1

										__magic_name__            =     1  # Largest power of 2 <= size
										while j * 2 < self.size:
																j *= 2

										__magic_name__            =     0

										while j > 0:
																if i + j < self.size and self.tree[i + j] <= value:
																						value -= self.tree[i + j]
																						i += j
																j //= 2
										return i


if __name__ == "__main__":
			import doctest

			doctest.testmod()



