Concept:
Towers of Hanoi
Headline
A mathematical puzzle whose solution illustrates recursion
Citation
(https://en.wikipedia.org/wiki/Recursion_(computer_science), 10 November 2015)
There are three pegs which can hold stacks of disks of different diameters. A larger disk may never be stacked on top of a smaller. Starting with n disks on one peg, they must be moved to another peg one at a time. What is the smallest number of steps to move the stack?
Illustration
The following recursive function, given in Language:Java computes the smallest number of steps to move the stack.
public static int hanoi(int n) {
if (n==1)
return 1;
else
return 2 * hanoi(n-1) + 1;
}
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