Here you will get C program for tower of hanoi problem using recursion.

The Tower of Hanoi (also called the Tower of Brahma or Lucas’ Tower and sometimes pluralized) is a mathematical game or puzzle. It consists of three rods, and a number of disks of different sizes which can slide onto any rod. The puzzle starts with the disks in a neat stack in ascending order of size on one rod, the smallest at the top, thus making a conical shape as shown in below image.

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.

With three disks, the puzzle can be solved in seven moves. The minimum number of moves required to solve a Tower of Hanoi puzzle is 2^{n}-1, where n is the number of disks.

**Animated solution of the Tower of Hanoi Puzzle for T(4,3)**

C Program using recursion is given below which finds solution for Tower of Hanoi Problem.

## C Program for Tower of Hanoi Problem Using Recursion

#include<stdio.h> void TOH(int,char,char,char); void main() { int n; printf("How many plates?"); scanf("%d",&n); TOH(n,'A','B','C'); } void TOH(int n,char x,char y,char z) { if(n>0) { TOH(n-1,x,z,y); printf("\n%c -> %c",x,y); TOH(n-1,z,y,x); } }

**Output**

*How many plates?3*

*A -> B*

*A -> C*

*B -> C*

*A -> B*

*C -> A*

*C -> B*

*A -> B*

**Source:** https://en.wikipedia.org/wiki/Tower_of_Hanoi

Comment below if you have doubts or found anything incorrect related to above program for tower of hanoi in C.

GayethriCan be send me another output for this towers of hanoi

RAFiHow Recursion helps to solve the puzzle?

Abid GhoriI am following this website since when i was doing my engineering.. this website helped me alot. thank you for all the programs. your programs are really amazing..!

HavishCan u please trace the the program

rajucan you tell me how recursion is taking place step by step for 3 no.of plates