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If n is even ...

Posted By: Nack Ballard
Date: Monday, 17 May 2010, at 4:21 a.m.

In Response To: If n is even ... (bob Koca)

If it is true that you can swap any line with another (and/or flip and/or rotate) freely without altering paradigm, and I don't see why it wouldn't be true, then I agree that the four combinations you listed ((1) a1 a2 b1 b2, (2) a1 a2 b1 b3, (3) a1 a2 b1 c3, and (4) a1 a2 b3 c3, are the only ones possible for four placed Xs in a grid of n = 3.

Assuming player B just played, B wins (2) or (4), but loses (1) or (3), which suggests that B blundered with his last move in (1) or (3).

Nack

Messages In This Thread

• Another puzzle
  Bob Koca -- Saturday, 15 May 2010, at 3:22 a.m.
  • Another puzzle
    Marv Porten -- Saturday, 15 May 2010, at 3:36 a.m.
    • Another puzzle
      Joe Russell -- Saturday, 15 May 2010, at 8:09 a.m.
      • Another puzzle
        Nack Ballard -- Saturday, 15 May 2010, at 9:11 a.m.
        • Another puzzle
          mtuhtan -- Saturday, 15 May 2010, at 9:25 a.m.
          • Another puzzle
            Nack Ballard -- Sunday, 16 May 2010, at 7:09 a.m.
            • Another puzzle
              mtuhtan -- Sunday, 16 May 2010, at 10:05 a.m.
  • Another puzzle -- Spoiler
    Nack Ballard -- Saturday, 15 May 2010, at 6:52 a.m.
  • Another puzzle/ next question
    Bob Koca -- Saturday, 15 May 2010, at 2:46 p.m.
    • Another puzzle/ next question
      Timothy Chow -- Saturday, 15 May 2010, at 3:28 p.m.
    • Another puzzle/ next question/ SPOILER I hope)_
      Bob Koca -- Sunday, 16 May 2010, at 2:03 a.m.
      • Another puzzle/ next question/ SPOILER I hope)_
        Bob Koca -- Sunday, 16 May 2010, at 3:20 a.m.
        • Another puzzle/ next question/ SPOILER I hope)_
          Timothy Chow -- Sunday, 16 May 2010, at 4:14 a.m.
          • Another puzzle/ next question/ SPOILER I hope)_
            Bob Koca -- Sunday, 16 May 2010, at 1:30 p.m.
      • Another puzzle/ next question/ SPOILER I hope)_
        Nack Ballard -- Sunday, 16 May 2010, at 6:55 a.m.
        • Another puzzle/ next question/ SPOILER I hope)_
          Bob Koca -- Sunday, 16 May 2010, at 1:33 p.m.
          • If n is even ...
            Bob Koca -- Sunday, 16 May 2010, at 2:14 p.m.
            • If n is even ...
              Nack Ballard -- Sunday, 16 May 2010, at 2:56 p.m.
              • If n is even ...
                Bob Koca -- Sunday, 16 May 2010, at 4:04 p.m.
                • If n is even ...
                  Nack Ballard -- Sunday, 16 May 2010, at 5:15 p.m.
                  • If n is even ...
                    bob Koca -- Sunday, 16 May 2010, at 5:21 p.m.
                    • If n is even ...
                      Nack Ballard -- Monday, 17 May 2010, at 4:21 a.m.
            • If n is even ...
              Timothy Chow -- Sunday, 16 May 2010, at 5:35 p.m.
          • n odd
            Bob Koca -- Sunday, 16 May 2010, at 5:33 p.m.
            • n odd
              Nack Ballard -- Monday, 17 May 2010, at 3:47 a.m.
              • n odd
                Bob Koca -- Monday, 17 May 2010, at 10:28 a.m.
                • n odd
                  Nack Ballard -- Monday, 17 May 2010, at 6:46 p.m.
  • Related game: Treblecross
    Timothy Chow -- Monday, 17 May 2010, at 2:33 a.m.