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Colour the board like a chessboard, or in stripes, so that every placed piece must cover a fixed mixture of colours. Counting the colours then shows immediately when a covering is impossible. The art is choosing the colouring.
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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-07 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.