Concepts4

Parallel Binary Search

Parallel Binary Search (PBS) lets you binary-search the answers of many queries at once by batching them by their current mid value.

#parallel binary search#offline queries#monotone predicate+10

⚙️AlgorithmAdvanced

CDQ Divide and Conquer

CDQ divide and conquer is an offline technique that splits the timeline (or one coordinate) and lets updates from the left half contribute to queries in the right half.

#cdq divide and conquer#offline algorithm#fenwick tree+11

⚙️AlgorithmAdvanced

Mo's Algorithm - With Updates

Mo's algorithm with updates treats array modifications as a third dimension called time and answers range queries on the correct version of the array.

#mo's algorithm with updates#time dimension#offline range queries+11

⚙️AlgorithmAdvanced

Rectangle Union Area

The union area of many axis-aligned rectangles can be computed efficiently using a sweep line over x and a segment tree tracking covered y-length.

#rectangle union area#line sweep#segment tree+12