Beaver has to tile a big ballroom floor that is made up of 16 rows of tiles and 31 columns.She decides to program the pattern, based on a set of rules. Here is an example "rule set":When laying a new tile, Beaver looks at the three tiles directly above the new tile and finds which rule in the rule set it matches. This then shows her whether the new tile should be black or white. To allow her rules to work at the edges, Beaver decides to imagine that all the tiles that are outside of the floor are also white and remain white. Beaver decides to start with one black tile in the middle on the top row. Using the example rule set, the following pattern is formed: