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Write and test a recursive program for solving the classic mathematical recreation, the Towers of Hanoi puzzle this will require the use of stack frames to support recursion

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Write and test a recursive program for solving the classic mathematical recreation, the Towers of Hanoi puzzle. (This will require the use of stack frames to support recursion.)

The puzzle consists of three pegs (1, 2, and 3) and n disks (the number n can vary; typical values might be in the range from 1 to 8).

Disk 1 is smaller than disk 2, which is in turn smaller than disk 3, and so forth, with disk n being the largest. Initially, all the disks are on peg 1, starting with disk n on the bottom, disk n − 1 on top of that, and so forth, up to disk 1 on the top.

The goal is to move all the disks to peg 2. You may only move one disk at a time, that is, the top disk from any of the three pegs onto the top of either of the other two pegs.

Moreover, there is a constraint: You must not place a larger disk on top of a smaller disk.

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