Answer: 1 and 7 Â Â Â Â Â Â
The winner Isabel Currie of Caversham, Reading, UK.
Worked solution
The full picture is:Â Â Â Â Â Â
MISSING GRAPHICÂ Â Â Â Â Â Â
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212221ÌýÌýÌýÌýÌýÌý
2131222ÌýÌýÌýÌýÌýÌý
13233311ÌýÌýÌýÌýÌýÌý
1321232ÌýÌýÌýÌýÌýÌý
213211ÌýÌýÌýÌýÌýÌý
The start of one possible approach:Â Â Â Â
We can gradually build up the picture to get this answer.
Let (a,b) denotes the bth cell in row a.
Then (for example) if (4,2) had honey then (4,1) and (5,2) would already be satistfied, meaning that (3,1), (3,2), (4,3), (5,1) and (5,3) would be empty. Then the ‘3′ in (4,2) would tell you that (3,3), (4,1) and (5,2) had honey. But then (5,1) has 3 honeyed neighbours, which is not allowed. Therefore (4,2) does not have honey.
Therefore ‘2′ in (5,1) shows that (4,1) and (5,2) have honey.
So the ‘1′ in (3,1) is satisfied and (2,1) and (3,2) do not have honey.
We can continue in this way to uniquely build up the whole picture as above.



