I read a few of the hints, without really understanding what people were talking about. So how about a game of Spot the First False Statement?
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1. Beethro can't kill anything in this room himself.
2. One mimic can't kill both the queen and original roach.
3. (by 1,2) Both mimics must be used in the monster area.
4. (by 3) Beethro must strike the north orb on some move T before taking the second mimic potion.
5. On move T, the first mimic has already struck (4,16) and is now permanently stuck at (5,16).
6. The queen cannot move before move T.
7. (by 4,5) Nothing can prevent the queen, if alive, from moving SW during move T.
8. (by 7) The queen will never spawn after the end of move T.
9. (by 4,5) If there is anything inside the 6x6 box at the end of move T, it will have time to hatch and/or run north before Beethro can run south to row 16.
10. (by 7) When Beethro crosses the arrow at (21,16), the queen is dead or at (5,23).
11. (by 1,5) The second mimic must be placed at (3,23) to kill the original roach.
12. (by 9,11) There may not be any roaches or eggs inside the 6x6 box at the end of turn T.
13. (by 8,12) Nothing other than the queen can ever cross (6,20).
14. (by 4,10,13) When Beethro first heads to the lower branch, the queen, if alive, will go all the way to (4,20) and be stuck there until killed.
15. (by 11,13,14) During Beethro's three eastward moves after placing the second mimic, that mimic will go unblocked into the trap at (6,23).
16. (by 3,5) The second mimic must strike (3,19) to let Beethro exit.
17. (by 15,16) This room is impossible.
[Last edited by schep at 08-12-2006 10:18 PM : one last time, really]