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This problem involves the consequences of the four basic rules of a red-black tr

ID: 3572404 • Letter: T

Question

This problem involves the consequences of the four basic rules of a red-black tree, recalled below: 1. Every node must be red or black. 2. The root must be black and the leaves must be labelled nil, and colored black 3. Both the children of a red node are black. 4. For any node n, all paths from n to its descendent leaves must encounter the same number of black nodes Consider tree T1 shown below n? The leaves "nil" are not shown in the diagram. (A) The tree above is a valid red-blacktree satisfying the properties listed above? Write TRUE/FALSE in the space below.

Explanation / Answer

(A) The given tree is not satisfying all the above listed properties. So, False

(B) height = 2 ln(n+1) = 3

(C) Black height of n0 = 2

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