--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/progs/knight.scala Mon Oct 31 10:28:32 2016 +0000
@@ -0,0 +1,36 @@
+
+
+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))}%2.0f ")
+ }
+ println
+ }
+ //readLine()
+ System.exit(0)
+}
+
+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)] = {
+ Set((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 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 <- moves(n)(steps.head).par; if (!steps.contains(x))) tour(n)(x :: steps)
+}
+
+val n = 6
+
+println("started")
+for (i <- 0 until n; j <- 0 until n) tour(n)(List((i, j)))
+println("finished")