Diana drew a rectangular grid of 12 squares on squared paper. Some of the squares were then painted black. In each white square she wrote the number of black squares that shared an edge with it (a whole edge, not just a vertex). The figure shows the result.
Then she did the same with a rectangular grid of 2 by 1009 squares.
What is the maximum value that she could obtain as the result of the sum of all the numbers in the grid?
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Pink Kangaroo 2018 (2018)
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