Problem 547
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As your posts will be visible to the general public you are requested to be thoughtful in not posting anything that might explicitly give away how to solve a particular problem.
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Don't start begging others to give partial answers to problems
Don't ask for hints how to solve a problem
Don't start a new topic for a problem if there already exists one
See also the topics:
Don't post any spoilers
Comments, questions and clarifications about PE problems.
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LaughingSkull
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Problem 547
Not relying on random sampling, but instead on a calculus-based generalised solution for rectangles, the default case of n=3 yields for me a S(3) of a very slightly lower value than the one given in the problem's description. Precision errors on my part are out of the question, due to my calculation having been made on several distinct platforms. Mr. Euler, could you have erred?
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Animus
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LaughingSkull
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RagnarGrootKoerkamp
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Re: Problem 547
To clarify (since I only discovered this on my 3rd attempt): The problem asks for the average straight line distance between two random points in the hollow laminae, not the shortest distance within the hollow lamina itself.