Show that the second smallest of n elements can be found with n + ⌈lg n⌉ - 2 comparisons in the worst case.
Answer to relevant QuestionsIn the algorithm SELECT, the input elements are divided into groups of 5. Will the algorithm work in linear time if they are divided into groups of 7? Argue that SELECT does not run in linear time if groups of 3 are used. We wish to implement a dictionary by using direct addressing on a huge array. At the start, the array entries may contain garbage, and initializing the entire array is impractical because of its size. Describe a scheme for ...An in order tree walk of an n-node binary search tree can be implemented by finding the minimum element in the tree with TREE-MINIMUM and then making n-1 calls to TREESUCCESSOR. Prove that this algorithm runs in Θ (n) ...Suggest how to implement RB-INSERT efficiently if the representation for red-black trees includes no storage for parent pointers.VLSI databases commonly represent an integrated circuit as a list of rectangles. Assume that each rectangle is rectilinearly oriented (sides parallel to the x- and y-axis), so that a representation of a rectangle consists of ...
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