Returns the left child index for a given index in a binary tree.
>>> s = SegmentTree([1, 2, 3])
>>> s.left(1)
2
>>> s.left(2)
4
Query the maximum value in the range [a,b].
>>> s = SegmentTree([1, 2, 3, 4, 5])
>>> s.query(1, 3)
3
>>> s.query(1, 5)
5
query(1, 1, N, a, b) for query max of [a,b]
Returns the right child index for a given index in a binary tree.
>>> s = SegmentTree([1, 2, 3])
>>> s.right(1)
3
>>> s.right(2)
5
Update the values in the segment tree in the range [a,b] with the given value.
>>> s = SegmentTree([1, 2, 3, 4, 5])
>>> s.update(2, 4, 10)
True
>>> s.query(1, 5)
10
update(1, 1, N, a, b, v) for update val v to [a,b]