
"""simple docstring"""




from abc import ABC, abstractmethod
from argparse import ArgumentParser





class  snake_case     (							a__   ):

							@staticmethod
							@abstractmethod
							def _lowercase					(SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									raise NotImplementedError()







							@abstractmethod
							def _lowercase					(self    ):

									"""simple docstring"""







									raise NotImplementedError()

"""simple docstring"""




from collections.abc import Sequence
from queue import Queue





class  snake_case     :

							def __init__(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_=None       ,       SCREAMING_SNAKE_CASE_=None    ):

									"""simple docstring"""







									SCREAMING_SNAKE_CASE_						 = start
									SCREAMING_SNAKE_CASE_						 = end
									SCREAMING_SNAKE_CASE_						 = val
									SCREAMING_SNAKE_CASE_						 = (start + end) // 2
									SCREAMING_SNAKE_CASE_						 = left
									SCREAMING_SNAKE_CASE_						 = right







							def __repr__(self    ):

									"""simple docstring"""







									return f'SegmentTreeNode(start={self.start}, end={self.end}, val={self.val})'







class  snake_case     :

							def __init__(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									SCREAMING_SNAKE_CASE_						 = collection
									SCREAMING_SNAKE_CASE_						 = function
									if self.collection:
											SCREAMING_SNAKE_CASE_						 = self._build_tree(0       ,       len(SCREAMING_SNAKE_CASE_    ) - 1    )

							def _lowercase					(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									self._update_tree(self.root       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )

							def _lowercase					(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									return self._query_range(self.root       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )

							def _lowercase					(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									if start == end:
											return SegmentTreeNode(SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       self.collection[start]    )
									SCREAMING_SNAKE_CASE_						 = (start + end) // 2
									SCREAMING_SNAKE_CASE_						 = self._build_tree(SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )
									SCREAMING_SNAKE_CASE_						 = self._build_tree(mid + 1       ,       SCREAMING_SNAKE_CASE_    )
									return SegmentTreeNode(SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       self.fn(left.val       ,       right.val    )       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )

							def _lowercase					(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									if node.start == i and node.end == i:
											SCREAMING_SNAKE_CASE_						 = val
											return
									if i <= node.mid:
											self._update_tree(node.left       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )
									else:
											self._update_tree(node.right       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )
									SCREAMING_SNAKE_CASE_						 = self.fn(node.left.val       ,       node.right.val    )

							def _lowercase					(self       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    ):

									"""simple docstring"""







									if node.start == i and node.end == j:
											return node.val

									if i <= node.mid:
											if j <= node.mid:
													# range in left child tree
													return self._query_range(node.left       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )
											else:
													# range in left child tree and right child tree
													return self.fn(
													    self._query_range(node.left       ,       SCREAMING_SNAKE_CASE_       ,       node.mid    )       ,       self._query_range(node.right       ,       node.mid + 1       ,       SCREAMING_SNAKE_CASE_    )       ,       )
									else:
											# range in right child tree
											return self._query_range(node.right       ,       SCREAMING_SNAKE_CASE_       ,       SCREAMING_SNAKE_CASE_    )







							def _lowercase					(self    ):

									"""simple docstring"""







									if self.root is not None:
											SCREAMING_SNAKE_CASE_						 = Queue()
											queue.put(self.root    )
											while not queue.empty():
													SCREAMING_SNAKE_CASE_						 = queue.get()
													yield node

													if node.left is not None:
															queue.put(node.left    )

													if node.right is not None:
															queue.put(node.right    )


if __name__ == "__main__":
						import operator

						for fn in [operator.add, max, min]:
												print('*' * 50)
												lowerCAmelCase__							=				SegmentTree([2, 1, 5, 3, 4], fn)
												for node in arr.traverse():
																		print(node)
												print()

												arr.update(1, 5)
												for node in arr.traverse():
																		print(node)
												print()

												print(arr.query_range(3, 4))  # 7
												print(arr.query_range(2, 2))  # 5
												print(arr.query_range(1, 3))  # 13
												print()