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3 in a row = bad (Posted on 2006-04-26) Difficulty: 4 of 5
For n=3,4,5,6,7,8 find:

a) The minimum number of counters that need be placed on a nxn chessboard such that no additional counters can be placed without creating any straight line of 3;

b) The maximum number of counters that can be placed on a nxn chessboard such that no three lie in a straight line.

Remember that positions like A1, B3, and C5 are in a straight line.
(Try to continue the sequences if you can)

See The Solution Submitted by Jer    
Rating: 4.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): Minimum and Maximum | Comment 9 of 13 |
(In reply to re: Minimum and Maximum by Jer)

Hmm...I can't speak for Dej Mar, but I read that note at the end of the problem, and yet I didn't realize what it was saying.  For some reason when I read it I was picturing something like A1, C3, E5 (i.e. along a diagonal).  Good catch!

If it's true that you cannot have three in any straight line, like the one you pointed out, then I've been going about this all wrong! :)


  Posted by tomarken on 2006-04-27 14:13:28
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