The squares of an 8 8 chess board are colored black or white. For this problem, an L-region is a collection of 5 squares in the shape of a capital L. Such a region includes a square (the corner of the...

The squares of an 8 8 chess board are colored black or white. For this problem, an L-region is a collection of 5 squares in the shape of a capital L. Such a region includes a square (the corner of the L) together with the two squares above and the two squares to the right. Two L-regions are shown in the figure.