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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(3): tes he can revisited | Comment 16 of 26 |
(In reply to re(2): tes he can revisited by Ady TZIDON)

If A removes any one of the 4 counters it's left with, say

 **

 *

so in this case B removes the top left and the remaining two are neither in the same row nor the same column and A then must take exactly one of them, leaving B with the final piece to take.

 

 


  Posted by Charlie on 2009-06-26 09:45:54
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