What are the minimum number of tile pieces (shown on the right) that are required to create a path from tile A to tile B, such that ALL the following conditions are met: • All tiles are to be used at least once. • Tiles cannot overlap. • The path on a tile must be connected to another path of a tile. • The same type of tile cannot be used one-after-the other in a sequence. • Rotation of the tiles is not allowed. • Exclude tile A and tile B from the count.