Here is yet another of my games played on an n-by-n grid drawn on

paper.

For 2 players,each with a different colored pencil.

Players alternate placing an X or an O of their color in the grid's

squares as follows:

*Player 1 places the first O in the upper-left square.

*Each player places their symbol immediately next to the symbol last

drawn

by the other player in the directions of vertically, horizontally, or

diagonally.

*If the square a player draws his symbol in is empty, he/she draws an

O.

*If the square contains an O, he/she writes an X in the square with the

O.

*A player may not draw in (move to) a square already occupied by an X

(and an O).

Play continues until moving is impossible or when one player first gets

a predetermined number of points.

Scoring:

*If a player places an X in the same square as an O, the player who did

*not* draw

the O in that square gets a point.

*If a player places an O in an empty square diagonally adjacent to the

last square

drawn in by the other player, and the other 2 squares in the 2-by-2

bigger square

-- formed by the empty square being drawn in and the last drawn-in

square at opposite

corners of the bigger square -- are both filled, then the player

'completing the (bigger 2-by-2)

square' (the player whose move it is) gets a point.

Example to make above clearer:

+---+---+

!.O.!...!

+---+---+

!OX.!.O.!

+---+---+

Last move put an X in lower left square (getting a point for the player

who

did *not* place the O there earlier).

Player now wants to place an O in upper right square, which would get

him/her

a point (since the upper-left and lower-right squares of the 2-by-2

bigger square are both not empty).

What is a good strategy for this game?

thanks,

Leroy Quet

## Friday, September 19, 2008

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