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Problem of the Month (August 2008)

This month we consider tiling the lines of an n×m grid using the ten digits, as they usually appear on a digital clock. We are interested in the possible totals of the digits for a given m and n. Digits can intersect, and be rotated. Digits can not overlap, or be reflected. For example, the known totals for a 2×2 grid are shown below:

6
7
10
11
12, 15, 18

For small grids, what are the possible digit totals? For large grids, what are the smallest and largest possible totals?

You can see all the best known results here.

Submit your answers here.

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