--- a/marking2/knight1.scala Fri Nov 30 13:06:09 2018 +0000
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,79 +0,0 @@
-// Part 1 about finding and counting Knight's tours
-//==================================================
-
-object CW7a {
-
-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"${path.reverse.indexOf((j, dim - i - 1))}%3.0f ")
- }
- println
- }
-}
-
-def add_pair(x: Pos)(y: Pos): Pos =
- (x._1 + y._1, x._2 + y._2)
-
-def is_legal(dim: Int, path: Path)(x: Pos): Boolean =
- 0 <= x._1 && 0 <= x._2 && x._1 < dim && x._2 < dim && !path.contains(x)
-
-assert(is_legal(8, Nil)((3,4)) == true)
-assert(is_legal(8, List((4,1), (1,0)))((4,1)) == false)
-assert(is_legal(2, Nil)((0,0)) == true)
-
-
-
-def moves(x: Pos): List[Pos] =
- List(( 1, 2),( 2, 1),( 2, -1),( 1, -2),
- (-1, -2),(-2, -1),(-2, 1),(-1, 2)).map(add_pair(x))
-
-def legal_moves(dim: Int, path: Path, x: Pos): List[Pos] =
- moves(x).filter(is_legal(dim, path))
-
-def count_tours(dim: Int, path: Path): Int = {
- if (path.length == dim * dim) 1
- else
- (for (x <- legal_moves(dim, path, path.head)) yield count_tours(dim, x::path)).sum
-}
-
-def enum_tours(dim: Int, path: Path): List[Path] = {
- if (path.length == dim * dim) List(path)
- else
- (for (x <- legal_moves(dim, path, path.head)) yield enum_tours(dim, x::path)).flatten
-}
-
-def count_all_tours(dim: Int) = {
- for (i <- (0 until dim).toList;
- j <- (0 until dim).toList) yield count_tours(dim, List((i, j)))
-}
-
-def enum_all_tours(dim: Int): List[Path] = {
- (for (i <- (0 until dim).toList;
- j <- (0 until dim).toList) yield enum_tours(dim, List((i, j)))).flatten
-}
-
-/*
-for (dim <- 1 to 5) {
- println(s"${dim} x ${dim} " + count_tours(dim, List((0, 0))))
-}
-
-for (dim <- 1 to 5) {
- println(s"${dim} x ${dim} " + count_all_tours(dim))
-}
-
-for (dim <- 1 to 5) {
- val ts = enum_tours(dim, List((0, 0)))
- println(s"${dim} x ${dim} ")
- if (ts != Nil) {
- print_board(dim, ts.head)
- println(ts.head)
- }
-}
-*/
-
-}