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Paper Abstract and Keywords
Presentation 2016-09-06 10:30
Counting the number of solutions for peg solitaire
Itsuki Kanemoto, Toshiki Saitoh (Kobe Univ.), Masashi Kiyomi (Yokohama City Univ.), Ryuhei Uehara (JAIST) COMP2016-14
Abstract (in Japanese) (See Japanese page) 
(in English) Peg solitaire is one of the most popular classic puzzles around the world. The problem is NP-complete in general, which was shown in early 1990s. Therefore, it seems that it is intractable from the viewpoint of theoretical computer science. The real puzzle consists of board of 33 holes and 32 pegs, and a lot of solutions had found by puzzle players by hands, and heuristic algorithms developed in 1990s. We show that recent computer can find all possible solutions for this real puzzle in efficiency. Precisely, we propose some algorithms to count the number of solutions for the peg solitaire. They run efficiently, and we obtain the number of solutions in a reasonable computing time.
Keyword (in Japanese) (See Japanese page) 
(in English) Puzzles / Counting algorithms / Algorithm engineering / / / / /  
Reference Info. IEICE Tech. Rep., vol. 116, no. 211, COMP2016-14, pp. 1-5, Sept. 2016.
Paper # COMP2016-14 
Date of Issue 2016-08-30 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
and
reproduction		 All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2016-14

Conference Information
Committee COMP  
Conference Date 2016-09-06 - 2016-09-06 
Place (in Japanese) (See Japanese page) 
Place (in English) Toyama Prefectural University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2016-09-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Counting the number of solutions for peg solitaire 
Sub Title (in English)  
Keyword(1) Puzzles  
Keyword(2) Counting algorithms  
Keyword(3) Algorithm engineering  
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1st Author's Name Itsuki Kanemoto  
1st Author's Affiliation Kobe University (Kobe Univ.)
2nd Author's Name Toshiki Saitoh  
2nd Author's Affiliation Kobe University (Kobe Univ.)
3rd Author's Name Masashi Kiyomi  
3rd Author's Affiliation Yokohama City University (Yokohama City Univ.)
4th Author's Name Ryuhei Uehara  
4th Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Speaker Author-1 
Date Time 2016-09-06 10:30:00 
Presentation Time 30 minutes 
Registration for COMP 
Paper # COMP2016-14 
Volume (vol) vol.116 
Number (no) no.211 
Page pp.1-5 
#Pages 5 
Date of Issue 2016-08-30 (COMP) 

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