US states ?
Another hint please.
wikipedia
You are correct that "US states" is a key part of the solution.
A key part is not a solution ...
All of the tags (except "mystery") are hints to the solution. Another hint is that all possible values for y=mystery(x) have to satisfy abs(y-1363.5)<=1262.5.
Only for crazy nerds.
Tim, you are a man of genius.
That may be a little excessive, but thank you.
Given how obvious the 'mystery' seems now that I've solved it, I can't believe how many totally wrong alleys I went down...
This was a tricky one!! but at least I found it!! ;-)
Tool I used: Wikipedia, excel and Matlab... XDDD
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