Range Sum Query — Immutable
Prefix sums · Precompute once, answer many times · Easy · about 16 min
Why it matters
Precomputation is a recurring trade: a little setup for very fast queries.
How it connects
The running sum becomes a reusable lookup table for many ranges.
Try first
What is the sum from i to j if you already know the sums before i and before j?
Interview cue
Construction costs O(n); each range query becomes O(1).