1. Draw a compressed trie for the strings given in the previous problem.2. Draw the compact representation of the suffix trie for the string:3. Draw the frequency array and Huffman tree for the...
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1. Show how to use a deterministic O(n)-time selection algorithm to sort a sequence of n elements in O(nlogn)-worst-case time.2. Given an unsorted sequence S of n comparable elements, and an integer...
1. What is the best way to multiply a chain of matrices with dimensions that are 10×5, 5×2, 2×20, 20×12, 12×4, and 4×60? Show your work.2. In Figure 13.14, we illustrate that GTTTAA is a longest...
Space aliens have given us a method, alienSplit, that can take a sequence S of n integers and partition S in O(n) time into sequences S1,S2,…,Sk of size at most ⌈n/k⌉ each, such that the...
Show that randomized quick-sort runs in O(nlogn) time with probability at least 1−1/n, that is, with high probability, by answering the following:
We can make the quick-select algorithm deterministic, by choosing the pivot of an n-element sequence as follows:Show that this deterministic quick-select algorithm runs in O(n) time by answering the...
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