The devil's square ------------------
(problem 566, 08–01–2008) ----------------------------
The devil, who knows nothing about magic squares, has invented a new game: fill a 3 × 3 square with the numbers 1 to 9 so that every number N, except of course 1 and 2, is the sum of two numbers in cells sharing a side or a corner with N's cell.
Can you complete the devil's square below?