Upload File

towers of hanoi

prev
next
out of 36
Download Towers of Hanoi

Upload: roy-sarkis

Post on 05-Mar-2016

221 views

Category:

Documents


0 download

Report

DESCRIPTION

Towers of Hanoi in C++

TRANSCRIPT

  • The Towers of Hanoi

    I Authors: Martin Hofmann and Berteun Damman

    I The idea and visualization were by Martin Hofmann, BerteunDamman programmed the actual recursion.

  • Tower of Hanoi 1 Disc

    1

  • Tower of Hanoi 1 Disc

    1

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 1 Disc

    1

    OK

  • Tower of Hanoi 2 Discs

    2

    1

  • Tower of Hanoi 2 Discs

    2 1

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 2 Discs

    1 2

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 2 Discs

    2

    1

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 2 Discs

    2

    1

    OK

  • Tower of Hanoi 3 Discs

    3

    2

    1

  • Tower of Hanoi 3 Discs

    3

    2

    1

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 3 Discs

    3 2 1

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 3 Discs

    3 2

    1

    Moved disc from pole 3 to pole 2.

  • Tower of Hanoi 3 Discs

    2

    1

    3

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 3 Discs

    1 2 3

    Moved disc from pole 2 to pole 1.

  • Tower of Hanoi 3 Discs

    1 3

    2

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 3 Discs

    3

    2

    1

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 3 Discs

    3

    2

    1

    OK

  • Tower of Hanoi 4 Discs

    4

    3

    2

    1

  • Tower of Hanoi 4 Discs

    4

    3

    2

    1

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 4 Discs

    4

    3

    1 2

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 4 Discs

    4

    3

    2

    1

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 4 Discs

    4 3 2

    1

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 4 Discs

    4

    1

    3 2

    Moved disc from pole 3 to pole 1.

  • Tower of Hanoi 4 Discs

    4

    1

    3

    2

    Moved disc from pole 3 to pole 2.

  • Tower of Hanoi 4 Discs

    4 3

    2

    1

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 4 Discs

    3

    2

    1

    4

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 4 Discs

    3

    2

    4

    1

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 4 Discs

    2 3 4

    1

    Moved disc from pole 2 to pole 1.

  • Tower of Hanoi 4 Discs

    2

    1

    3 4

    Moved disc from pole 3 to pole 1.

  • Tower of Hanoi 4 Discs

    2

    1

    4

    3

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 4 Discs

    2 1 4

    3

    Moved disc from pole 1 to pole 2.

  • Tower of Hanoi 4 Discs

    1 4

    3

    2

    Moved disc from pole 1 to pole 3.

  • Tower of Hanoi 4 Discs

    4

    3

    2

    1

    Moved disc from pole 2 to pole 3.

  • Tower of Hanoi 4 Discs

    4

    3

    2

    1OK

  • Tower of Hanoi 5 Disc

    5

    4

    3

    2

    1 ?


International School In Hanoi Vietnam | UNIS Hanoi

Towers Of Hanoi - BrandeisTowers Of Hanoi a.k.a. Pyramid Piling Puzzle, Rainbow Puzzle, Brahma Puzzle Very old design, this puzzle purchased from Bits And Pieces 2007. (wood stand

Towers of Hanoi. Introduction This problem is discussed in many maths texts, And in computer science an AI as an illustration of recursion and problem

RECURSION Recursion Towers of Hanoi To Recurse or to Loop? Fractals Do something!

The Towers of Hanoi 1 2 3 The Initial Position in the Tower of Hanoi. Rules: --Move all the disks from the first needle to the third, subject to the conditions

Tower of hanoi

The Towers of Hanoi problem with a relaxed placement rule

1 Chapter 1 RECURSION. 2 Chapter 1 Subprogram implementation Recursion Designing Recursive Algorithms Towers of Hanoi Backtracking Eight Queens

Modified Hanoi Towers Groups and Limit Spaces ...arxiv.org/pdf/0909.3520.pdfgroups, a generalization of the Hanoi Towers groups, and give conditions for them to be contractive. We

More Recursion: Permutations and Towers of Hanoi

Towers of Hanoi - Electrical and Computer Engineering at …ece578/teams/C/Site/Welco… ·  · 2007-05-11This report details the development and final implementation of the Towers

elevate your flexibility...Belgium), Jumeirah Emirates Towers (Dubai, EAU) and the Pacific Hotel (Hanoi, Vietnam). Innovation for progress ... integrates low-level flooring with Legrand’s

15925 Hanoi Towers

Towers of Hanoi PowerPointssUpdate2

EE 271 Final Project - Towers of Hanoi - · PDF fileEE 271 Final Project - Towers of Hanoi Siyu Jian, Michael Molina, Kendrick Tang December 6, 2012 Abstract In this project, we designed

Towers of Hanoi - ECE:Course Pagecourse.ece.cmu.edu/.../Welcome_files/TeamC-finalReport.pdf · 2007. 5. 11. · Abstract This report details the development and final implementation

Towers of Hanoi Move n (4) disks from pole A to pole C such that a disk is never put on a smaller disk A BC ABC

Preparatory Problems · Lam Ngoc Thiem, Hanoi University of Science, VNU-Hanoi Ngo Thi Thuan, Hanoi University of Science, VNU-Hanoi Vu Quoc Trung, Hanoi National University of Education

A Formalisation of the Generalised Towers of Hanoi

Binary Search - math.uic.edu › ~jan › mcs360 › binary_search.pdf · Binary Search 1 Recursive Problem Solving the towers of Hanoi recursive C++ code 2 Binary Search sorted vectors

Co-Curricular - United Nations International School of Hanoi · 2015. 8. 18. · 2015-2016. 2 UNIS Hanoi Values & Beliefs Because UNIS Hanoi values LEARNING, UNIS Hanoi believes

Tower of Hanoi Link 1 Tower of Hanoi Link 1 Tower of Hanoi Link 2 Tower of Hanoi Link 2

The Towers of Hanoi - math.cmu.edu

More Recursion: Permutations and Towers of Hanoi COP 3502

Business hotels in hanoi: Hanoi Imperial Hotel

The Towers of Hanoi or Apocalypse When?. A Legend Legend has it that there were three diamond needles set into the floor of the temple of Brahma in Hanoi

Towers of Hanoi Hanoiklein.jpg

Tower of Hanoi

ÖZYİNELEME - Egeyzgrafik.ege.edu.tr/~ugur/12_13_Fall/DS/DS_04_RECURSION.pdf · Örnek 4 : Hanoi Kuleleri Problemi (Towers of Hanoi Problem) Üç kule (A,B,C) olan bir sistemde yarıçapı

HANOI INDEPENDENT LIVING CENTER 1. Hanoi Independent Living Center of People with Disabilities 42 Kim Ma Thuong st., Hanoi, Vietnam Hanoi, Vietnam [email protected]

More Recursion: Permutations and Towers of Hanoi · Recursive Permutation Algorithm Recursive Permutation code in detail: 2 parameters to the function 1) The string we want to permute

Bachelor Thesis - Institute for Computing and … · solutions. In other cases, such as the Towers of Hanoi, there are only inef- cient algorithms, making the problem essentially

TIME - lniuma.files.wordpress.com · Execuve funconing was assessed through four tasks of the ENFEN baery (Fluency, Trail-Making –Black&White and colour versions-, Hanoi´s Towers

05 Intelligent Systems-SearchMethods · Examples of Problems: Towers of Hanoi • 3 pegs A, B, C • 3 discs represented as natural numbers (1, 2, 3) which correspond to the size

Do you remember what is the most - Tarleton State University€¦ · Stack example: Towers of Hanoi 5 Tower of Hanoi - Wikipedia, the free encyclopedia