Course Solutions Uncategorized (Solved) : 4 Red Black Trees Suppose Used New Properties Define Red Black Trees Every Node Red Black Q32456126 . . . .

(Solved) : 4 Red Black Trees Suppose Used New Properties Define Red Black Trees Every Node Red Black Q32456126 . . . .

 

4. Red-Black Trees Suppose we used these new properties to define our red-black trees: Every node is red or black. The root is black Every leaf (NIL) is black. . If a node is red, then both its children are black. . For any (simple) path starting from the root and going down to a leaf there is at least 1 more black node than red node. Specifically we replaced the black-height rule with the bolded one above. Draw a tree with height 2 (i.e., 3 levels) which meets this new definition: Is the height bound on these new red-black tree still O(log n)? Justify your answer.

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