All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Games
2012 Lamps (Posted on 2015-04-17) Difficulty: 3 of 5
There are 2012 lamps arranged on a table. Two persons Diana and Ethan play the following game.
In each move the player flips the switch of one lamp, but he or she must never get back an arrangement of the lit lamps that has already been on the table. A player who cannot move loses.

Diana makes the first move, followed by Ethan. Who has a winning strategy?

No Solution Yet Submitted by K Sengupta    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): Possible solution | Comment 4 of 5 |
(In reply to re(2): Possible solution by broll)

Your first post is confusing and I don't understand it.
The reply [re(2)] makes perfect sense.

Whoever goes first is guaranteed an unused combination as long as they only ever flip the same switch every time.

Can a cutoff exist so that the game doesn't use all 2^n moves?  Even if such a cutoff does exist the outcome is the same, the second player just loses sooner.

  Posted by Jer on 2015-04-18 22:18:40

Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information