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Advanced

Segment trees, Fenwick, LCA and SCC. Rare in SDE loops, decisive in competitive rounds.

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What you actually need to hold in your head

  • Segment tree: log time range query and point update
  • Fenwick is the compact prefix sum cousin
  • Binary lifting answers LCA in log time
  • Tarjan and Kosaraju find strongly connected components
Comfortable with these first

Patterns in this topic

The trigger phrases are what you are training yourself to notice.

Advanced problems

Ordered by sheet phase, so the early ones are the highest signal.

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