Hi all,

Can someone help me identify the right data structure that satisfies the constraints I outlined? - Should maintain sorted order when inserting (or allow for looking up the rank and inserting in that position) - Should have efficient insertion - Should have efficient prefix sums

I think what I need is a dynamic(?) segment tree that allows insertion at arbitrary points, but unsure how I would ensure it stays balanced. Any help would be appreciated.

Some things I tried to make work - gnu pbds as described in this post, seemed promising but does not allow me to add in the custom prefix sum logic at each nodet