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Given the following set of numbers {20,10,7,13,5,22,23,54,97,33,45,21,40} (a) Determine the order of insertions with this set of numbers that will result in a perfectly balanced

Given the following set of numbers {20,10,7,13,5,22,23,54,97,33,45,21,40}

(a) Determine the order of insertions with this set of numbers that will result in a perfectly balanced BST.

(b) Show the results of a preorder traversal of this tree.

(c) Delete the root, make a diagram of the resulting tree.

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