Construct each possible winning line, then test whether one is contained in the player's occupancy set:
winningLines :: [Places]
winningLines =
[[(r,c) | c <- [0..2]] | r <- [0..2]] ++
[[(r,c) | r <- [0..2]] | c <- [0..2]] ++
[[(i,i) | i <- [0..2]], [(i,2-i) | i <- [0..2]]]
won :: Places -> Bool
won ps = any (\line -> all (`elem` ps) line) winningLinesThe list comprehension generates three rows, three columns and two diagonals. Each has exactly three coordinates; therefore
all holds precisely when every coordinate of that line is occupied by this player. Taking any over the eight lines proves the win test correct. Articles by others on the same topic
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