diff -r 7550c816187a -r a4e1f63157d8 main_solution4/knight3.scala --- a/main_solution4/knight3.scala Sat Nov 04 18:53:37 2023 +0000 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000 @@ -1,73 +0,0 @@ -// Part 3 about finding a single tour using the Warnsdorf Rule -//============================================================= - -object M4c { // for preparing the jar - -type Pos = (Int, Int) -type Path = List[Pos] - - -// for measuring time in the JAR -def time_needed[T](code: => T) : T = { - val start = System.nanoTime() - val result = code - val end = System.nanoTime() - println(f"Time needed: ${(end - start) / 1.0e9}%3.3f secs.") - result -} - - -def print_board(dim: Int, path: Path): Unit = { - println() - for (i <- 0 until dim) { - for (j <- 0 until dim) { - print(f"${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, _)) - -def ordered_moves(dim: Int, path: Path, x: Pos): List[Pos] = - legal_moves(dim, path, x).sortBy((x) => legal_moves(dim, path, x).length) - -import scala.annotation.tailrec - -@tailrec -def tour_on_mega_board_aux(dim: Int, paths: List[Path]): Option[Path] = paths match { - case Nil => None - case (path::rest) => - if (path.length == dim * dim) Some(path) - else tour_on_mega_board_aux(dim, ordered_moves(dim, path, path.head).map(_::path) ::: rest) -} - -def ttour_on_mega_board(dim: Int, path: Path): Option[Path] = - tour_on_mega_board_aux(dim, List(path)) - - -def tour_on_mega_board(dim: Int, path: Path) = - time_needed(ttour_on_mega_board(dim: Int, path: Path)) - - -// testcases -//print_board(70, tour_on_mega_board(70, List((0, 0))).get) - - -} - - -//val dim = 66 //75 -M4c.print_board(30, M4c.tour_on_mega_board(30, List((0, 0))).get) -M4c.print_board(66, M4c.tour_on_mega_board(66, List((0, 0))).get)