Concepts3
⚙️AlgorithmIntermediate
Offline Query Processing
Offline query processing means you collect all queries first and answer them later in a smart order that makes updates/queries cheap.
#offline query processing#mo's algorithm#fenwick tree+12
⚙️AlgorithmIntermediate
Mo's Algorithm
Mo's algorithm answers many range queries offline by reordering them to minimize pointer movement along the array.
#mo's algorithm#offline queries#range queries+12
🗂️Data StructureIntermediate
Sqrt Decomposition
Sqrt decomposition partitions an array into about \(\sqrt{n}\) blocks, each of size about \(\sqrt{n}\), to speed up range queries and updates.
#sqrt decomposition#block decomposition#bucket decomposition+11