Consider an initially empty tree T. Now perform n consecutive insert operations into T. What is the worst-case upper bound on the height of T after the insertions? Select the tightest bound that holds.Group of answer choicesO(n)O(1)O(n2)O(log n)
Question
Consider an initially empty tree T. Now perform n consecutive insert operations into T. What is the worst-case upper bound on the height of T after the insertions? Select the tightest bound that holds.Group of answer choicesO(n)O(1)O(n2)O(log n)
Solution
The worst-case upper bound on the height of the tree T after n insertions is O(n). This is because in the worst-case scenario, each node that you insert into the tree could be greater than the previous node, resulting in a tree that is essentially a linked list. In this case, the height of the tree would be equal to the number of nodes in the tree, which is n. Therefore, the worst-case upper bound on the height of the tree is O(n).
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