diff -r 20f02c5ff53f -r a2c4c6bf319d main_solution4-old/main_solution4/knight4.scala --- a/main_solution4-old/main_solution4/knight4.scala Fri Apr 26 17:29:30 2024 +0100 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,53 +0,0 @@ -// Part 4 about finding a single tour on "mutilated" chessboards -//============================================================== - -object M4d { // for preparing the jar - -type Pos = (Int, Int) -type Path = List[Pos] - -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))}%4.0f ") - } - 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, _)) - -import scala.annotation.tailrec - -@tailrec -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) - } -} - - -def one_tour_pred(dim: Int, path: Path, n: Int, pred: Pos => Boolean): Option[Path] = { - if (path.length == n) Some(path) - else - first(legal_moves(dim, path, path.head).filter(pred), (x: Pos) => one_tour_pred(dim, x::path, n, pred)) -} - -//print_board(8, one_tour_pred(8, List((0, 0)), 40, x => x._1 < 5).get) - - -}