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Explain Optimal Binary Search Trees
One of the principal application of Binary Search Tree is to execute the operation of searching. If probabilities of searching for elements of a set are called, it is natural to pose a question about an optimal binary search tree for which the average number of comparisons in a search is the smallest possible.
Assume a complete binary tree T with n nodes where each node has an item (value). Label the nodes of the complete binary tree T from top to bottom & from left to right 0, 1, ..., n
MID SQUARE METHOD
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A binary tree in which if all its levels except possibly the last, have the maximum number of nodes and all the nodes at the last level appear as far left as possible, is called as
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