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Fourtic problems

Bart Massey 2023-10-23

This repository contains 12 Fourtic problems. Fourtic is a 4×4 Tic-Tac-Toe variant designed as an AI homework problem.

The six rand problems are from randomly-generated board positions. The six play problems are positions from real computer-vs-computer games. (The player played with depth-4 negamax, but that is somewhat irrelevant here.)

The solutions (all 14 evaluated with unlimited depth) are:

rand-2: X 3
rand-3: O 0
rand-4: X 3
rand-5: O 0
rand-6: X 0
rand-7: O 1
play-2: X 3
play-3: O -3
play-4: X 3
play-5: O 0
play-6: X 4
play-7: O -2

Note the first-player bias in games from real play. It is unknown how large this bias is with strong play. Fourtic is currently unsolved, so it is not known whether the game is a first-player win or a draw.

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