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πŸ”·Allβˆ‘Mathβš™οΈAlgoπŸ—‚οΈDSπŸ“šTheory

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βš™οΈAlgorithmIntermediate

Think Backwards (Reverse Thinking)

Think Backwards is a problem‑solving pattern where you reverse time or direction so hard deletions become easy insertions and the final state becomes the starting point.

#think backwards#reverse thinking#offline queries+12
βš™οΈAlgorithmIntermediate

Invariant Maintenance

An invariant is a property you promise to keep true throughout an algorithm, and it is the anchor of both design and correctness proofs.

#invariant#loop invariant#search invariant+12
βš™οΈAlgorithmIntermediate

MST Properties and Applications

An MST minimizes total edge weight over all spanning trees and has powerful properties such as the cut and cycle properties that guide correct, greedy construction.

#minimum spanning tree#kruskal#prim+12