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Oct. 17, 2007
Flies on a Tablecloth
Nine flies are sitting on a checkered tablecloth. They happened to have arranged themselves so that no two flies are in the same row, column, or diagonal.
Three flies now shift into neighboring, unoccupied squares, and the other six flies stay where they are. By an amazing coincidence, the nine flies are still all arranged so that not a single pair appears in the same row, column, or diagonal.
Which three flies shifted and to which squares did they move?
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The fly in the bottom row moves up one square.
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The arrows show which flies shifted position and in which direction they moved.
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