Is it possible to place the numbers 0,1,2,3,4,5,6,7,8,9 (not necessarily in this order) in a circle such that the difference between any two neighboring numbers is 3, 4 or 5?
If it is possible, show how; if it is impossible, prove that to be the case.
(In reply to solution
Very nice analytic solution, while keeping the text concise, compact and to the point.
I confirm having hyperlinked the foregoing in the official solution.