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.
