QUESTION 5 The Towers of Hanoi game starts with a pile of disks with different sizes on one of three pegs. The other two pegs start empty. The disks are initially piled in order of size with largest on the bottom. The aim of the game is to transfer all of the disks to a destination peg by moving one disk at a time, never placing a disk on top of a smaller one. The spare peg may be used for intermediate moves. One solution to the problem recursively moves all but the largest disk to the spare peg, moves the largest disk to the destination peg, and then recursively moves all the other disks from the spare peg to the destination peg. This process is described by the following pseudocode: Hanoi( n, start, destination, spare ) I/ n is the number of disks and start, destination and spare are peg numbers if n>0 Hanoi( n-1, start, spare, destination) moveTopDisk( start, destination) I/ move top disk on start peg to destination peg Hanoi( n-1, spare, destination, start) Which of the following most accurately gives a recurrence relation for the number of moves required by this algorithm and its asymptotic complexity? T(n) = 2T(n-1) + 1 with asymptotic complexity O(2"). T(n) = 2T(n-1) +1 with asymptotic complexity O(n-). O T(n) = T(n-1) +1 with asymptotic complexity O(n). T(n) = 2T(n/2) + 1 with asymptotic complexity O(n). O None of the above.

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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.