Question: Analysis of Algorithms in Java a. Insert the keys 2, 3, 5, 7, 11, 13, 17, 19 to an empty binary tree. To search key

Analysis of Algorithms in Java

a. Insert the keys 2, 3, 5, 7, 11, 13, 17, 19 to an empty binary tree. To search key 19, how many comparison do we need?

b. What is the property of red-black tree? Is red-black tree a balanced binary search tree? What property of red-black tree enforce balancing the binary search tree? What is the maximum height of red-black tree for n nodes.

c. Suppose we have branching factor 2 for B-tree and need to insert 10 keys, what is the maximum height and what is the minimum height of the tree?

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