Height of a red-black tree

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1. Prove that the height of a red-black tree is at most 2 log N, and that this bound cannot be substantially lowered.

2. Show that every AVL tree can be colored as a red-black tree. Are all red-black trees AVL?

3. Draw a suf?x tree and show the suf?x array and LCP array for the following input strings:

a. ABCABCABC

b. MISSISSIPPI

Reference no: EM13968365

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