*C program to perform Tower of Hanoi Algorithm*

*C program to perform Tower of Hanoi Algorithm*

Write a C program to perform Tower of Hanoi Algorithm using Recursion. Here’s a Simple Program to perform Tower of Hanoi Algorithm using Recursion in C Programming Language.

**Tower of Hanoi**

**Tower of Hanoi**

- 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.

*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.

**Algorithm : :**

**Algorithm : :**

**The Tower of Hanoi Formula and the Steps For Moving N Disks from Source Tower to Destination Tower:**

- Move N-1 Disks from Source Tower To Temporary Tower
- Move Nth Disk from Source Tower To Destination Tower
- Move N-1 Disks from Temporary Tower To Destination Tower (using Source Tower as Temporary Tower)

For a total of

ndisks,2moves or disk shift are required.^{n}– 1

Below is the source code for C program to perform Tower of Hanoi Algorithm using Recursion which is successfully compiled and run on Windows System to produce desired output as shown below :

**SOURCE CODE : :**

**SOURCE CODE : :**

/* C program to perform Tower of Hanoi Algorithm using Recursion */ #include<stdio.h> void hanoi_tower(char,char,char,int); void hanoi_tower(char peg1,char peg2,char peg3,int n) { if(n<=0) printf("\n Illegal Entry"); if(n==1) printf ("\n Move disk from %c to %c", peg1,peg3); else { hanoi_tower(peg1,peg3,peg2,n-1); hanoi_tower(peg1,peg2,peg3,1); hanoi_tower(peg2,peg1,peg3,n-1); } } void main () { int n; printf("\n Input the number of disc : "); scanf("%d", &n); printf("\n Tower of Hanoi for %d DISC :: \n", n); hanoi_tower('x','y','z',n); }

**OUTPUT : :**

**OUTPUT : :**

Input the number of disc : 4 Tower of Hanoi for 4 DISC :: Move disk from x to y Move disk from x to z Move disk from y to z Move disk from x to y Move disk from z to x Move disk from z to y Move disk from x to y Move disk from x to z Move disk from y to z Move disk from y to x Move disk from z to x Move disk from y to z Move disk from x to y Move disk from x to z Move disk from y to z

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