Well I beg to differ with most of the comments :
I thought it was a reasonably logical puzzle - 4 switches with up / down = 16 combinations (ie 2*2*2*2=16). 6 doors, so 6 combinations work and 10 combinations fail. I already had 13 serpin coins when I started, and priests kept bobbing up, so I never ran out of coins. The logical part was in working out that there were reasonably few combinations, so the correct approach was to write out the 16 combos and methodically work through them. Maybe only my opinion (hey I think like the engineer that I am), but I didn't see anything trial and error about the whole thing - logical and methodical
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