Dots and Boxes

In a game of Dots and Boxes, we start with an initial grid with dots at each row and column intersection. At each player's turn, they have the option of drawing either a horizontal or vertical line between two neighboring dots (depending on if the dots are in the same row or column). If a player fills in the last line on a box (the 4th side), we say that player "owns" the box and they are allowed an additional move. The game ends when there are no neighboring dots without a line between them. At the conclusion of the game, the player who owns the most dots is declared the winner.

Rows Columns

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