perplexus.info :: Games : 3x3 Nim

3x3 Nim (Posted on 2009-06-25)

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: ( You must be logged in to post comments.)

Subject	Author	Date
Math Strategy?	Adrian Mason	2013-03-26 00:03:43
i had to...	Joselyn	2010-01-01 07:43:30
nim value equivalents	Brian Smith	2009-06-29 01:15:18
misère form	Charlie	2009-06-28 14:13:44
simplification	Charlie	2009-06-27 13:48:38
Strategery	ed bottemiller	2009-06-26 23:18:15
re(3): computer solution	pcbouhid	2009-06-26 18:15:51
re(2): computer solution	Charlie	2009-06-26 16:03:26
re: computer solution	pcbouhid	2009-06-26 12:08:12
computer solution	Charlie	2009-06-26 09:50:05
re(3): tes he can revisited	Charlie	2009-06-26 09:45:54
re(2): tes he can revisited	Ady TZIDON	2009-06-26 06:23:56
I agree	Ady TZIDON	2009-06-26 06:08:05
re: tes he can	brianjn	2009-06-26 00:53:44
re(3): tes he can	brianjn	2009-06-26 00:50:44
re(2): Winning Strategy (spoiler)	Steve Herman	2009-06-25 21:55:12
Winning Strategy (for the wrong problem)	Steve Herman	2009-06-25 21:42:42
re: Winning Strategy (spoiler)	Charlie	2009-06-25 17:05:26
re: Winning Strategy (spoiler)	Jer	2009-06-25 17:02:11
Winning Strategy (spoiler)	Steve Herman	2009-06-25 16:18:07
re: tes he can	Charlie	2009-06-25 14:33:36
re(2): tes he can	pcbouhid	2009-06-25 13:42:27
re: yes he can	brianjn	2009-06-25 12:50:00
re: tes he can	brianjn	2009-06-25 12:45:19
yes he can	Ady TZIDON	2009-06-25 11:48:26
tes he can	Ady TZIDON	2009-06-25 11:45:01

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

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

Chatterbox:


perplexus dot info