Tuesday, February 12, 2008

Knight's win

Two knights start on a chess board at opposite corners.

Call them A and B. When A makes a move in a particular cell of the chess board, that cell is marked with A. Same is true with B. A can not move to a cell already marked by B and B can not move to a cell already marked by A. The one marking the most cells wins - Lets say - A wins - He can often trap B into a situation where he can not move to any of the cells which are already marked by A.

Two questions - Is that possible ?
If possible what is the strategy for A to win this ?

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