You are given a list of n positive integers a1, a2, . . . an and a positive integer t. Use dynamic programming to design an algorithm that examines whether a subset of these n numbers add up to exactly t, under the constraint that you use each ai at most once. If there is a solution, your program should output the subset of selected numbers. Recurrence Relation (and base cases)

The following function returns a string of length n whose characters are all 'x'. give the order of growth (as a function of n) of the running time. recall that concatenating two strings in java takes time proportional to the sum of their lengths. public static string f(int n) { if (n == 0) return ""; if (n == 1) return "x"; return f(n/2) + f(n - n/2); } options: a) constant b) logarithmic c) linear d) linearithmic e)quadratic f)cubic g) exponential

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