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Recently I came across an interesting puzzle at The return of the graphs (and an interesting puzzle) You are given eight batteries, out of which four are good and four are depleted, but visually they do not differ. You have a flashlight that needs two good batteries to work. You want your flashlight to work. What is the minimum number of times you need to put two batteries into your flashlight to be sure it works in the worst case. There are 8 batteries in total, and there are 28 ways to choos...