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MBA IT, Mater in Science and Technology
Devry
Jul-1996 - Jul-2000
Professor
Devry University
Mar-2010 - Oct-2016
Can u provide detailed solution for this home work
CS 477/677 Analysis of AlgorithmsHomework 2Due September 20, 20151. (U & G-required) [30 points]Consider the following algorithm.ALGORITHMEnigma(A[0..n−1])//Input: An array A[0..n−1, 0..n−1] of integer numbersfori←0ton−2doforj←i +1ton−1doifA[i]=A[j]return falsereturn truea)[5 points] What does this algorithm do?b)[25 points] Compute the running time of this algorithm.2. (U & G-required) [30 points]Solve the following recurrences using the method of your choice.a) [15 points]T(n)=7Tn2!"#$%&+n2b) [15 points]T(n)=T9n10!"#$%&+n3. (U & G-required) [40 points]Consider the following recursive algorithm for computing the sum of the first n cubes:S(n) =࠵±+ ²±+ ⋯+ ³±ALGORITHMS(n)// Input: A positive integer n// Output: The sum of the first n cubesifn = 1return1elsereturnS(n−1) + n∗n∗n
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