// Finding a single tour on a "mega" board
//=========================================
object M4c {
// !!! Copy any function you need from file knight1.scala !!!
// !!! or knight2.scala                                   !!! 
//
// If you need any auxiliary function, feel free to 
// implement it, but do not make any changes to the
// templates below.
type Pos = (Int, Int)    // a position on a chessboard 
type Path = List[Pos]    // a path...a list of positions
// ADD YOUR CODE BELOW
//======================
//(9) 
def tour_on_mega_board(dim: Int, path: Path) : Option[Path] = ???
}