import M4a._
//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)))
}
import scala.concurrent._
import scala.concurrent.duration._
import ExecutionContext.Implicits.global
import scala.language.postfixOps 
lazy val f = Future {
assert(count_all_tours_urban(5) == List(304, 0, 56, 0, 304, 0, 56, 0, 56, 0, 56, 0, 64, 0, 56))
}
Await.result(f, 32 second)