Take a pinch of the spores of some rapidly-growing fungus and drop them into a gallon jug, one whose walls are coated with nutrient so the fungus can grow as fast as it likes. Suppose you do this one morning, and that exactly 4 days later you find that the fungus has filled the jar and is just beginning to overflow it. How full was the jug the morning of the 3rd day?<p>It was half full.