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problem1 give an example of a text t of length n and a pattern p of length m that force the brute-force pattern
problemshow the longest common subsequence array l for the two stringsx skullandbonesy lullabybabieswhat is a longest
problem1 draw the compact representation of the suffix trie for the string minimize minime2 what is the longest prefix
problem1 assuming that the characters in alphabet sigma can be enumerated and can be used to index arrays give an om
problem1 list the prefixes of the stringp aaabbaaa that are also suffixes of p2 draw a figure illustrating the
problem1 implement the randomized quick-sort and quick-select algorithms and design a series of experiments to test
problem1 implement an in-place version of insertion-sort and an in-place version of quick-sort perform benchmarking
problem1 implement merge-sort and deterministic quick-sort and perform a series of benchmarking tests to see which one
problem1 experimentally compare the performance of in-place quick-sort and a version of quick-sort that is not
problemthis problem deals with modification of the quick-select algorithm to make it deterministic yet still run in on
problembob has a set a of n nuts and a set b of n bolts such that each nut in a has a unique matching bolt in b
problem1 let a and b be two sequences of n integers each given an integer m describe an on log n -time algorithm for
problemlet s be a sequence of n elements on which a total order relation is defined recall that an inversion in s is a
problem1 given a sequence s of n elements on which a total order relation is defined describe an efficient method for
problemsuppose we are given two sequences a and b of n elements possibly containing duplicates on which a total order
problem1 show that any comparison-based sorting algorithm can be made to be stable without affecting its asymptotic
problemdescribe a nonrecursive in-place version of the quick-sort algorithm the algorithm should still be based on the
problemanother way to analyze randomized quick-sort is to use a recurrence equation in this case we let tn denote the
problemconsider a version of deterministic quick-sort where we pick as our pivot the median of the d last elements in
problemconsider sets whose elements are integers in the range 0n - 1 a popular scheme for representing a set a of this
problem1 suppose that we represent sets with balanced search trees describe and analyze algorithms for each of the
problemlinda claims to have an algorithm that takes an input sequence s and produces an output sequence t that is a
problem1 describe an in-place version of the quick-select algorithm in pseudo-code2 show that the worst-case running
problem1 give an example input list that requires merge-sort and heapsort to take onlogn time to sort but
problemdescribe a radix-sort method for lexicographically sorting a sequence s of triplets klm where k l and m are