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Theoremcore

Expected depth of random binary search trees

Also called random BST height bound.

A BST built from random insertion orders has expected height O(log n) and expected node depth O(log n).

A BST built from random insertion orders has expected height O(log n) and expected node depth O(log n).

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator