1) What is the maximum height of a Red-Black Tree with 14 nodes? Draw an example of a tree with 14 nodes that achieves this maximum height. 2) Show the steps for inserting 65 and 17.2 into the Red-Black tree depicted below: 30 / 15 45 / / 10 20 35 60 / 55 70
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This is because the maximum height of a Red-Black Tree is 2log(n+1), where n is the number of nodes. In this case, 2log(14+1) = 2log(15) = 2*3.91 = 7.82, which rounds up to 8. However, since the root node is always black, the actual maximum height is 8-1 = 7. Show more…
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