Tower of Hanoi is a mathematical puzzle where we have three rods and n disks. The objective of the puzzle is to move the entire stack to another rod, 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 i.e. a disk can only be moved if it is the uppermost disk on a stack.
- No disk may be placed on top of a smaller disk.
Program for Tower of Hanoi
#include <stdio.h>
void towerOfHanoi(int n, char from_rod, char to_rod, char aux_rod)
{
if (n==1)
{
printf("\nMove disk 1 from rod : %d",from_rod);
printf("\nMove disk 1 to rod : %d",to_rod);
return;
}
towerOfHanoi(n - 1, from_rod, aux_rod, to_rod);
printf("\nMove disk %d from rod : %d",n,from_rod);
printf("\nMove disk %d to rod : %d",n,to_rod);
towerOfHanoi(n - 1, aux_rod, to_rod, from_rod);
}
int main()
{
int n = 3; // Number of disks
towerOfHanoi(n, 'A', 'C', 'B'); // A, B and C are names of rods
return 0;
}
Desired Input/output
Input : 2
Output : Disk 1 moved from A to B
Disk 2 moved from A to C
Disk 1 moved from B to C
Input : 3
Output : Disk 1 moved from A to C
Disk 2 moved from A to B
Disk 1 moved from C to B
Disk 3 moved from A to C
Disk 1 moved from B to A
Disk 2 moved from B to C
Disk 1 moved from A to C