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🔷All∑Math⚙️Algo🗂️DS📚Theory

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#range update
⚙️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
🗂️Data StructureAdvanced

Link-Cut Tree

A Link-Cut Tree (LCT) maintains a dynamic forest and supports link, cut, and path queries in O(log n) amortized time.

#link-cut tree#dynamic tree#splay tree+12