I believe these solutions are not right. By the profile picture it seems that each time 7 circles are generated and 1 of 7 circles is removed. At the second iteration we would have for Area, 1 - 1/3 - 6/81 which is 66/81, and not 68/81. It seems that some people found a formula used in the test suite....but that hardly represents the picture. This problem needs a better description. It is not clear at all what should be done. Sierpinski triangle divide each side by 2, Sierpinski carpet divide each side by 3, and a Sierpinski circle would divide by what number? By the profile picture, it seems that the length of the circle is to be divided by 6 (since it generates hexagon-like structures)....but this recursive step wouldn't reach the solution in the test suite.
PS: It is also possible that the user changed his profile picture, but then this would make this problem unsolvable without hacking.
Which doors are open?
Sum all integers from 1 to 2^n
subtract central cross
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center of mass
house of cards
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