Google Maps

Ever since Google Maps added satellite view, I like to refresh images of buildings to see if they move. Which is silly, because it's not like they can just change on their own...

The six maps below represent images of the same shopping center, which is restructured on a disturbingly frequent basis. There are a total of eighteen different businesses that have been part of the center; these businesses are listed in the chart below the maps, which shows which maps each business should appear on.

Each business's building is rectangular, of size either 1x1, 1x2, 1x3, or 1x4. Not being able to see the sides of the buildings, Google Maps keeps track of which building is which by assigning nonzero digits to each square occupied by the building. Buildings appear in different positions on different maps, and they may be rotated; for example, a building that appears as 6-1-3 from left to right in one map might appear as 6-1-3 from right to left, top to bottom, or bottom to top in another map. (It could not appear as 6-3-1... the building itself can be rotated, but the order of digits within the building cannot be rearranged.)

Here are some facts about the maps:

• In each map, there are exactly four 1x1 buildings, three 1x2 buildings, two 1x3 buildings, and one 1x4 building.
• In each map, no building touches another building (not even diagonally).
• In each map, no digit appears more than once in any row or column.
• The nature of a business is not necessarily indicative of the building size. (So, for example, a department store might be smaller than a fast-food restaurant.)
• Different businesses do not necessarily have different numbers. (In fact, there is at least one pair of businesses with identical buildings.)

And here are some explanations of the clues that will assist you:

• Any square labeled with an X is not occupied by a building.
• Any square labeled with a digit represents a building square assigned that digit. (This square could be an entire 1x1 building or part of a larger building.)
• Any number appearing above or to the left of a map gives the number of squares occupied by buildings in the corresponding row or column.
• Any number appearing below or to the right of a map gives the sum of the digits in the corresponding row or column.

See if you can use this information to determine the numbers Google Maps assigns to each business. I've worked it out myself, but the results just don't seem to add up.

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