Implementing Tower of Hanoi Problem in Java
The Tower of Hanoi is a classic mathematical puzzle that elegantly demonstrates the power of recursion. It consists of three rods (pegs) and a number of disks of different sizes that can slide onto any rod. The puzzle begins with all disks stacked in ascending size order on one rod (smallest on top) and the goal is to move the entire stack to another rod. Three rules must be followed: Only one disk may be moved at a time. A disk may only be moved if it is the uppermost disk on its rod. No disk may be placed on top of a smaller disk. The minimum number of moves required to solve the puzzle with n disks is 2n − 1. For 3 disks, that's 7 moves; for 10 disks, 1023 moves.