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Moving Two Rooks (Posted on 2016-12-06) Difficulty: 2 of 5
This is a sequel to Moving a Rook.

The rules of the two rook game are as follows:
  1. Initially two rooks are placed on a chessboard with one rook in the bottom left corner and the other rook on one of the two adjacent squares.
  2. A move consists of advancing either rook any positive number of squares either up or to the right, as long as the move does not end on or pass through the other rook.
  3. The players take turns making moves until the two rooks occupy the upper right square and one of the two adjacent squares.
  4. The player to make the last move wins.
Define a winning strategy for one of the two players in this game.

No Solution Yet Submitted by Brian Smith    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: For the Win (spoiler) Comment 2 of 2 |
(In reply to For the Win (spoiler) by Steve Herman)

I don't think the rules state that each player owns one of the rooks. Either player may move either rook, not necessarily the same rook each turn.


It seems still that the second player has a win by moving to the same row or column as the previous player. I think a further restriction must be placed in certain circumstances--such as when moving in the same direction as the previous player's move--, such that he must, in those circumstances move up directly behind the other player. Certainly the last move is of this type.

  Posted by Charlie on 2016-12-06 15:37:11
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