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

Home > Games
Do not say ONE (Posted on 2017-12-23) Difficulty: 3 of 5
This curious game was invented by Princeton mathematician John H. Conway.

Two players take turns naming positive integers, but an integer is off limits if it's the sum of nonnegative multiples of integers already been named.
Once 1 is named, everything is off limits (because no new positive integer can be named).

A player forced to name "1" - i.e. having no other choice loses the game.

Devise a winning strategy for the 1st player.

See The Solution Submitted by Ady TZIDON    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
First thoughts | Comment 1 of 3
It seems like that once 2 and 3 are selected,then the next player is forced to pick 1 and lose.  Knowing only this, if I was the first player, I'd pick not(2 or 3).  then as soon as the other player picked either 2 or 3, I'd pick the other and force a win.  Not sure if this always forces a win however, it could be an infinitely long game if both payer can do enough math in their heads.

  Posted by Kenny M on 2017-12-23 14:59:07
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 (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information