Fenwick tree (Binary Indexed Tree): point updates and prefix sums in O(log n).
A Fenwick tree serves prefix-sum queries and point updates in O(log n) using one flat array and a single bit trick. The signal is the lowbit operation and why it wins over a plain prefix array when values change. Here is the answer.
Updated Sep 2026 · Grounded in real GenAI, LLM, and AI/ML engineering interview loops and written to a senior-engineer editorial bar.
A Fenwick tree serves prefix-sum queries and point updates in O(log n) using one flat array and a single bit trick. The signal is the lowbit operation and why it wins over a plain prefix array when values change. Here is the answer.
Lead with where the obvious approach breaks, because that is the judgment they are screening for — most candidates jump straight to the happy path and lose the room.
Then walk the failure back through the pipeline in order, naming the one metric the customer's exec sponsor actually cares about before you propose the fix.
