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3x3 Nim (Posted on 2009-06-25) Difficulty: 3 of 5
A 3x3 array of counters is laid out. Players take turns removing counters. The rule for removing counters is to pick a row or column and take any 1,2 or 3 from it. Whoever removes the last counter wins.

Does the first or second player have a winning strategy?
What is this strategy?

See The Solution Submitted by Jer    
Rating: 4.0000 (7 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: Winning Strategy (spoiler) | Comment 8 of 26 |
(In reply to Winning Strategy (spoiler) by Steve Herman)

First I think you misread the problem.  A player WINS by removing the last counter.

Second there are at least 2 other 'basic' positions with 4 counters.

  Posted by Jer on 2009-06-25 17:02:11

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