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.