In the problem Painting the Barn, the sample test cases produce the following (truncated) grid (number in the cell represents the number of coats of paint applied):

Now, we can paint regions (2,7)\rarr (8,7) and (8,2)\rarr (8,6) to give a total of 33 cells with 2 coats of paint. However, the answer states 26.

What is the mistake in my diagram or notation?