prefixsummor
The prefixsummor is a term used to describe a class of data structures and algorithms designed to maintain the sums of prefixes of a numeric sequence under dynamic updates. It focuses on efficient access to cumulative totals that begin at the start of the sequence.
It supports two primary operations: update(i, delta), which adjusts the value at position i by delta, and
In its simplest form, a prefixsummor can be implemented by a plain array, recomputing sums after each
A Fenwick tree offers logarithmic time for both updates and prefix queries, while a segment tree provides
Applications include real-time analytics, financial time-series processing, streaming data dashboards, and certain dynamic programming problems where
Overall, the prefixsummor serves as a practical framework for efficiently maintaining and querying the sums of