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Tips churn
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The pivotal moment of Churn is when a player makes a new largest group.
There are two ways to make a new largest group: EXPANDING a group by adding one stone to it, and CONNECTING two existing groups by adding a stone between them.
CONNECTING is much stronger, since it makes a much larger group, but EXPANDING is required by the rules if possible, since you're obligated to make the smallest possible group each turn.
A good heuristic for playing Churn, then, is to try to force yourself to CONNECT, and force your opponent to EXPAND.