Consider a variant of the rod cutting problem in which, in addition to length n of the rod, you are given an integer k ≥ 1 that specifies the maximum number of cuts you are allowed to make. For example, if k = 1, you are allowed to make 0 or 1 cuts and not more. As before, the values of subrods are stored in an array p. Let L[i, q] be the maximum value you can get for cutting a rod of length i when you are allowed to make q cuts (we have i ≤ n and q≤k). Write down the recursive formula for L[i, q].

Q: iv. ΑΘ bound

A: Dear student, I can answer the A (θ) bound time complexity correctly.

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Random Variables

A random variable Z is a real valued function of the type Z: S → R on a sample space S. That means the function assigns a real number to every primitive event in the sample space. In other words, a random variable is a function mapping a sample space S to a set of real numbers R.