--- a/progs/knight.scala Sat Mar 11 23:12:49 2023 +0000
+++ /dev/null Thu Jan 01 00:00:00 1970 +0000
@@ -1,87 +0,0 @@
-import scala.util._
-
-def print_board(n: Int)(steps: List[(Int, Int)]): Unit = {
- for (i <- 0 until n) {
- for (j <- 0 until n) {
- print(f"${steps.indexOf((i, j))}%3.0f ")
- }
- println
- }
- //readLine()
- //System.exit(0)
- throw new Exception("\n")
-}
-
-def add_pair(x: (Int, Int))(y: (Int, Int)) =
- (x._1 + y._1, x._2 + y._2)
-
-def is_legal(n: Int)(x: (Int, Int)) =
- 0 <= x._1 && 0 <= x._2 && x._1 < n && x._2 < n
-
-def moves(n: Int)(x: (Int, Int)): List[(Int, Int)] = {
- List((1, 2),(2, 1),(2, -1),(1, -2),
- (-1, -2),(-2, -1),(-2, 1),(-1, 2)).map(add_pair(x)).filter(is_legal(n))
-}
-
-def ordered_moves(n: Int)(steps: List[(Int, Int)])(x : (Int, Int)): List[(Int, Int)] =
- moves(n)(x).sortBy((x: (Int, Int)) => moves(n)(x).filterNot(steps.contains(_)).length)
-
-moves(8)(1,3)
-ordered_moves(8)(Nil)(1,3)
-ordered_moves(8)(List((2, 4), (2, 6)))(1,3)
-
-// non-circle tour parallel
-def tour(n: Int)(steps: List[(Int, Int)]): Unit = {
- if (steps.length == n * n)
- print_board(n)(steps)
- else
- for (x <- moves(n)(steps.head); if (!steps.contains(x))) tour(n)(x :: steps)
-}
-
-// non-circle tour
-def ctour(n: Int)(steps: List[(Int, Int)]): Unit = {
- if (steps.length == n * n && moves(n)(steps.head).contains(steps.last))
- print_board(n)(steps)
- else
- for (x <- moves(n)(steps.head); if (!steps.contains(x))) ctour(n)(x :: steps)
-}
-
-
-def faster_tour(n: Int)(steps: List[(Int, Int)]): Unit = {
- if (steps.length == n * n && moves(n)(steps.head).contains(steps.last))
- print_board(n)(steps)
- else
- for (x <- ordered_moves(n)(steps)(steps.head); if (!steps.contains(x))) faster_tour(n)(x :: steps)
-}
-
-
-val n1 = 5
-println(s"simple tour: n = $n1")
-
-Try {
- for (i <- 0 until n1; j <- 0 until n1) {
- tour(n1)(List((i, j)))
- }
-}
-
-
-val n2 = 6
-println(s"circle tour: n = $n2")
-
-Try {
- for (i <- 0 until n2; j <- 0 until n2) {
- ctour(n2)(List((i, j)))
- }
-}
-
-
-val n3 = 8
-println(s"fast circle tour: n = $n3")
-
-Try {
- for (i <- 0 until n3; j <- 0 until n3) {
- faster_tour(n3)(List((i, j)))
- }
-}
-
-println("finished")