I like the problem, too, and I certainly like your solution. Randomly closing file handles seems like an nice way of making it scalable.
"It took Loris ten minutes to eat a satsuma . . . twenty minutes to get from one end of his branch to the other . . . and an hour to scratch his bottom. But Slow Loris didn't care. He had a secret . . ." (from "Slow Loris" by Alexis Deacon)
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