Tower of hanoi problem., Data Structure & Algorithms

Assignment Help:

Write an algorithm for getting solution to the Tower's of Hanoi problem. Explain the working of your algorithm (with 4 disks) with appropriate diagrams.

Ans:

void Hanoi(int n, char initial, char temp, char final)

{     if(n==1)

{ printf("move disk 1 from peg %c to peg%c\n",initial,final);

return;

}

Hanoi(n-1,initial, final, temp);

printf("move disk %d from peg %c to peg%c\n", n, initial, final);

Hanoi(n-1,temp,initial,final);

}

For n=4, let A, B and C denotes the initial, temp and final peg respectively. Using above algorithm, the  recursive  solution  for  n=4  disks  comprises  of  the  following 15 moves:

1549_Hanoi problem.png


Related Discussions:- Tower of hanoi problem.

Explain the concept of colouring, Colouring The use of colours in CAD/C...

Colouring The use of colours in CAD/CAM has two main objectives : facilitate creating geometry and display images. Colours can be used in geometric construction. In this case,

Representation of a polynomial with a singly linked list, List areutilized ...

List areutilized to maintainPOLYNOMIALS in the memory. For example, we have a functionf(x)= 7x 5 + 9x 4   - 6x³ + 3x². Figure depicts the representation of a Polynomial by means o

Explain the bubble sort algorithm, Explain the bubble sort algorithm. ...

Explain the bubble sort algorithm. Answer This algorithm is used for sorting a list. It makes use of a temporary variable for swapping. It compares two numbers at an insta

State the example of pre- and post-conditions, State the example of pre- an...

State the example of pre- and post-conditions Suppose that function f(x) should have a non-zero argument and return a positive value. We can document these pre- and post-condit

Algorithm to merge two sorted arrays with third array, Q. Write down an alg...

Q. Write down an algorithm to merge the two sorted arrays into the third array. Do  not perform the sort function in the third array.                           Ans: void m

Simplifying assumptions of wire frame representation, Simplifying Assumptio...

Simplifying Assumptions of wire frame representation Neglect colour - consider Intensity: For now we shall forget about colour and restrict our discussion just to the intensi

Linked list implementation of a queue, The fundamental element of linked li...

The fundamental element of linked list is a "record" structure of at least two fields. The object which holds the data & refers to the next element into the list is called a node .

Discrete time simulation of a queue, In this project you will write a progr...

In this project you will write a program to produce a discrete time simulation of a queue as shown in Fig. 1. Time is slotted on the input and the output. Each input packet follows

Algorithm to find maximum and minimum numbers, Give an algorithm to find bo...

Give an algorithm to find both the maximum and minimum of 380 distinct numbers that uses at most 568 comparisons.

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd