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1) Discuss why it is necessary to balance Binary Search Trees (BSTs). (2) Consider a random sequence of 12 positive integer numbers in the interval 1 .. 99.

1) Discuss why it is necessary to balance Binary Search Trees (BSTs).

(2) Consider a random sequence of 12 positive integer numbers in the interval 1 .. 99.

Your sequence is: _________________________

Using the chosen sequence:

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(i) build a BST by inserting the numbers, one by one, in an initial empty tree,

(ii) show the final tree and

(iii) list the tree nodes as a result of treversing the tree in inorder, preorder and postorder.

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