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If n is even ...

Posted By: Bob Koca
Date: Sunday, 16 May 2010, at 2:14 p.m.

In Response To: Another puzzle/ next question/ SPOILER I hope)_ (Bob Koca)

If n is even then a winning strategy for the 2nd player is to rotate 180 degrees around the central point of the grid. If the 2nd player ever completes a row or column then by symmetry the play before also had completed a row or column.

There are many ways to disguise this strategy since there are many positions that can be considered equivalent. For example the very first move is all the same. There are really only two second moves as it either plays in the same row/column or does not.

A term for "row or column" would be useful.

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.