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Show the result of every step of inserting

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Reference no: EM132399041

(a) Show the result of every step of inserting the following sequence of elements into an initially empty AVL-tree: 10, 20, 15, 25, 30, 16, 18, 19.

(b) Show the resulting AVL-tree, after physical deletion (NOT a lazy deletion) of the record with the key 30 from the AVL tree that you got in the previous exercise.

(c) Show the result when an initially empty AVL-tree has keys 1 through 7 inserted in order (1,2,3,4,5,6,7).

(d) Draw an AVL-tree of height 4 that contains the minimum possible number of nodes.

(e) The following items are inserted into an AVL-tree: 1, 2, 3, 8, 6. How many and what type of rotations are performed? Justify.

Note: We assume that double rotations count as one rotation. Important Notes:

  • For this problem, you don't need to submit any implementation in Java.

Reference no: EM132399041

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