The most improbable thing you've ever seen?

[GBP04]

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there's probably more than one congifuration that is solved.

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If anyone could confirm this, I would appreciate it. But how many possible "solved" configurations can there be out of 43,252,003,274,489,856,000 total possible configurations?

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If that is the number, I would say that it is extremely likely you subconsciously did this. Regardless, either scenario is amazing.