87.6k views
0 votes
How will the first recursive call to towers() be invoked? Answer this question in the form: towers(x,y,z) where you give the actual values to the three parameters.

User Lyric
by
8.5k points

1 Answer

2 votes

Final answer:

The first recursive call to the towers() function in the Towers of Hanoi problem is generally towers(n-1, A, B, C), where n is the number of disks, A is the source peg, B is the auxiliary peg, and C is the destination peg. Without the specific values or the total number of disks, it's not possible to give the exact parameter values for x, y, and z.

Step-by-step explanation:

The question seems to be related to the Towers of Hanoi problem, which is a classic problem in recursion and algorithm design. In the Towers of Hanoi problem, there are three pegs and a number of disks of different sizes which can slide onto any peg. The puzzle starts with the disks in a neat stack in ascending order of size on one peg, the smallest at the top, thus making a conical shape. The objective of the puzzle is to move the entire stack to another peg, obeying the following simple rules: only one disk can be moved at a time, each move consists of taking the upper disk from one of the stacks and placing it on top of another stack, and no disk may be placed on top of a smaller disk.

To invoke the first recursive call to towers(), assuming we are moving n disks from peg A to peg C using peg B as the auxiliary peg, the function would typically be called as towers(n-1, A, B, C). However, without the specific context or the initial call parameters, it's not possible to provide the exact values for x, y, and z. To give a concrete example, if we were to move 3 disks from peg A to peg C using peg B as the auxiliary peg, the first recursive call would be towers(2, A, B, C).

User Frawel
by
7.9k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.