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I think you'd enjoy The Code Book by Simon Singh.

> I guess I made more assumptions about the limitations than there were in the description of the problem.

This accounts for some high percentage of the failures in figuring out brain teasers :)

Same. It was not clear that multiple padlocks can be added to the box.

It took me way too long for this reason. I got it instantly once I realized I had made that limitation up.

I feel like there is some sort of lesson, here.