diff -r 5e489c9fe47b -r b5f3e814a710 marking2/knight2.scala --- a/marking2/knight2.scala Fri Nov 30 13:06:09 2018 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,61 +0,0 @@ -// Part 2 about finding a single tour for a board -//================================================ - -object CW7b { - -type Pos = (Int, Int) // a position on a chessboard -type Path = List[Pos] // a path...a list of positions - -def print_board(dim: Int, path: Path) : Unit = { - println - for (i <- 0 until dim) { - for (j <- 0 until dim) { - print(f"${path.reverse.indexOf((i, j))}%3.0f ") - } - println - } -} - -def add_pair(x: Pos)(y: Pos) : Pos = - (x._1 + y._1, x._2 + y._2) - -def is_legal(dim: Int, path: Path)(x: Pos) : Boolean = - 0 <= x._1 && 0 <= x._2 && x._1 < dim && x._2 < dim && !path.contains(x) - -def moves(x: Pos) : List[Pos] = - List(( 1, 2),( 2, 1),( 2, -1),( 1, -2), - (-1, -2),(-2, -1),(-2, 1),(-1, 2)).map(add_pair(x)) - -def legal_moves(dim: Int, path: Path, x: Pos) : List[Pos] = - moves(x).filter(is_legal(dim, path)) - - -def first(xs: List[Pos], f: Pos => Option[Path]) : Option[Path] = xs match { - case Nil => None - case x::xs => { - val result = f(x) - if (result.isDefined) result else first(xs, f) - } -} - -//first(List((1, 0),(2, 0),(3, 0),(4, 0)), (x => if (x._1 > 3) Some(List(x)) else None)) -//first(List((1, 0),(2, 0),(3, 0)), (x => if (x._1 > 3) Some(List(x)) else None)) - -def first_tour(dim: Int, path: Path) : Option[Path] = { - if (path.length == dim * dim) Some(path) - else - first(legal_moves(dim, path, path.head), (x: Pos) => first_tour(dim, x::path)) -} - -/* -val ts1 = first_tour(8, List((0, 0))).get - assert(correct_urban(8)(ts1) == true) - -val ts2 = first_tour(4, List((0, 0))) -assert(ts2 == None) - -print_board(8, first_tour(8, List((0, 0))).get) -*/ - -} -