Answer the following statements true (T) or false (F)

1. The efficiency of using a binary search tree to implement an ADT dictionary suffers when the tree loses its balance.
2. Numerous additions to and removals from a binary search tree will invariably destroy its balance.
3. You can search an AVL tree almost as efficiently as a minimum height binary search tree.
4. An AVL tree implementation of a dictionary is of equal difficulty to other implementations.
5. It can be proven that the height of an AVL tree with n nodes will always be very close to the theoretical minimum of log2(n + 1).

1. True
2. False
3. True
4. False
5. True

Computer Science & Information Technology

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