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A balance tells you three things: left is heavier, right is heavier, or they are equal. Each weighing therefore splits the possibilities into three groups, and a good weighing splits them as evenly as it can.
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Nothing yet. No other skill in the Atlas lists this one as a prerequisite.
No indexed official paper question has been tagged with LOG-10 yet. The index grows one paper at a time, and it records only question numbers, point values and our own skill tags — never the problems themselves.