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Move all the rings from left to right; rings can't move onto smaller rings.

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Towers of Hanoi

A classic CS (and interview) problem where you are asked to move rings of various sizes from the left tower through a middle tower to the rightmost one. The only constraints are you must move only one ring at a time and a ring cannot be moved on top of a smaller ring.

n=4 animation

The instructions for the case where rings = 3 follows:

step left tower middle tower right tower
1. Start 123
2. L -> R 23 1
3. L -> M 3 2 1
4. R -> M 3 12
5. L -> R 12 3
6. M -> L 1 2 3
7. M -> R 1 23
8. L -> R 123

Your task is to generalize this algorithm for the case where rings = n, a positive integer. Assume 3 towers.

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Move all the rings from left to right; rings can't move onto smaller rings.

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