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Worst exact path-compression cost in 64 union-find operations

TheoremDB P3760 · algorithms

Inferred from the community field; finer classification has not been reviewed.

Source catalogue assessmentAs of 2026-09-08Source & evidence ↓

Problem statement

Start with sixteen singleton sets. Consider sequences of exactly 6464 operations, each either Find or a successful Union of two current roots, using union by rank and full path compression. Determine the maximum total number of parent-edge traversals performed by all Find calls.

Lean 4

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Progress & source assessment

Source-reported assessment, retrieved 8 September 2026. Frontier Science has not independently reviewed this status.

Open. No signed Lean verification is attached to this problem or its selected resolution.

References
  1. [1]TheoremDB P3760 link

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