import CW9a._

//type Pos = (Int, Int)    // a position on a chessboard 

//type Path = List[Pos]    // a path...a list of positions

/*

def count_all_tours_urban(dim: Int) = {

  for (i <- (0 until dim).toList; 

       j <- (0 until dim).toList) yield count_tours(dim, List((i, j)))

}

*/

def count_all_tours_urban(dim: Int) = {

  for (i <- (0 until 3).toList; 

       j <- (0 until dim).toList) yield count_tours(dim, List((i, j)))

}

assert(count_all_tours_urban(5) == List(304, 0, 56, 0, 304, 0, 56, 0, 56, 0, 56, 0, 64, 0, 56))