Deciding winner based on prisoners and territories rather than timeout

Try Canadian byoyomi

You can get a pretty good time-control and flexible time management for players. Set a bit longer period and more moves, makes it more flexible (since some responses like yose and joseki don’t have to think, where they can spend more time on really hard moves). 3 mins per 20 moves will guarantee a game with 180 moves always finishes within 9x3 = 27 mins, etc. (usually they end much earlier, since players normally won’t play to the last second per period).

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