diff -r 9b5165b8a762 -r 0587ef444547 progs/knight.scala --- 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")