(Weiss 7.40): The following divide-and-conquer algorithm is proposed for finding the simultaneous maximum and minimum: Base Case// If there is one item, it is the maximum and minimum If there are two items, then compare them, and in one comparison you can find the maximum and minimum. Inductive Step// Otherwise, split the input into two halves, divided as evenly as possibly (if N is odd, one of the two halves will have one more element than the other). Recursively find the maximum and minimum of each half, and then in two additional comparisons produce the maximum and minimum for the entire problem. Find a function that will take in a vector and solve the problem, producing a vector of two elements, the min and max.

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Computational Systems

The computation systems can be defined as the systems that are capable of solving a problem that includes calculations either mathematical or logical, and are able to produce the result as an output. For example, a simple calculator that is given a set of numbers and operators as input and produces the result as an output can be defined as a computational system. The above example is a simple illustration only, the computational systems range from simple devices to complex devices such as the systems that control the SpaceX companies, Starlink satellites which are being quite recently seen in the skies at many places globally.