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(Erickson 2.1) Describe recursive algorithms for the following generalizations of the Subset-Sum problem:a) Given an array X[1...n] of positive integers and an integer T, compute the number of subsets of X whose elements sum to T.b) Given two arrays X[1...n] and W[1...n] of positive integers and an integer T, where each W[i] denotes the weight of the corresponding element X[i], compute the maximum weight subset of X whose elements sum to T. If no subset of X sums to T, your algorithm should retu

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