Write an algorithm for the following problem. The input consist of three integers a, b, and w. Assume that you live in a country that has two types of coins, one worth a dollars and the other b dollars. Both you and the storekeeper have a pocket full of each. You must pay him w dollars. You can give him any number of coins, and he may give you change with any number of coins. Your algorithm must determine whether or not this is possible and, if so, describe some way of doing it (not necessarily the optimal way). [Hint: Compute GCD(a, b), and use the three values g, u, and v. Consider the two cases when g divides w and when it does not. (If you want to find the optimal number of coins, basically you change a solution by using the fact that ( bg ) · a − (ag ) · b = 0.)]

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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.