Ok, so I almost get it (I think).
Here is what I am assuming:
1) I cannot hit the orb more than 5 times (obviously). This would be to open, close, open, close and open the roach doors.
2) The first two times I open the roach doors, I cannot let more than 6 roaches out of each side (for a total of 12 from each side) lest I face certain doom.
3) This leaves 28 - 12 = 16 roaches on each side. From here, the best I can do is:
Image:
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Me on 1. Roaches on 2, 3, and 4 (or the symmetrical equivalent).
So it would seem either 2 or 3 above are wrong, but it sure doesn't seem like it!
Any suggestions?
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