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How does the computer tell a live group from a dead group



Here is a problem I worked on years ago, and never solved it to my
satisfaction.

Obviously it has been solved, but I would like to know the solution.

How does the computer tell a live group from a dead group?

Next, how does the computer count the score accurately at the end of the game?

Obviously, there must be several algorithms for this, but I would like to
know one.

To those of you who have never actually tried to solve this problem, let me
tell you that this is not as trivial a problem as it may seem.

Sam Sloan