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Chapter 8: Scapegoat Trees

when something goes wrong, the first thing people tend to do is find someone to blame (the scapegoat).

A Scapegoat tree implements the Sorted Set, SSet, interface. The tree supports the operations:

operation time complexity
add() O(log n)
remove() O(log n)
find() O(log n)

Balanced by partial rebuilding operations.

  • keeps track of the number of nodes n.
  • keeps a counter, q, that maintains an upper-bound on the number of nodes.

At all times, n and q obey the following inequalities:

q/2 <= n <= q

credit schema: Each node stores a number of credits.

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