# Accounting value of Splay trees?

In Splay trees, by definition - the required element x - rises to the root of the tree, using the operations: zig, zig-zig, zig-zag. And the formula zig of the step is this: 1 + 3 (r '(v) -r (v)), where - r' (v) -r (v) is the length of the path before the path x is raised to the vertex, and the coefficient 1 is " actual payment for actions "

But here is the question: where does the coefficient 3 come from?

The zig-zig and zig-zag estimates for the step are: 3 (r '(v) -r (v))

again the question: what does the coefficient 3 mean?

and where did it go 1 - like "actual payback for actions"? ("actual payment for actions" - in terms of accounting value)

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