README.md

Data Structures and Algorithms (DSA)

This repository contains various data structures and algorithm problems and their solutions.

Table of Contents

• Tower of Hanoi

Tower of Hanoi

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:

1. Only one disk can be moved at a time.
2. 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.
3. No disk may be placed on top of a smaller disk.

C solution

#include <stdio.h>

void towers(int, char, char, char);

int main() {
  int n;
  printf("Enter the number of tower : \n");
  scanf("%d", &n);
  towers(n, 'A', 'C', 'B');
  return 0;
}

void towers(int n, char from, char to, char aux) {
  if (n == 1) {
    printf("Move disk %d from ring %c to ring %c\n", n, from, to);
    return;
  }
  towers(n - 1, from, aux, to);
  printf("Move disk %d from ring %c to ring %c\n", n, from, to);
  towers(n - 1, aux, to, from);
}