diff -r d306102fd33b -r 61d9a5ac6430 templates2/knight1.scala --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/templates2/knight1.scala Tue Nov 14 22:19:04 2017 +0000 @@ -0,0 +1,42 @@ +// Part 1 about finding and counting Knight's tours +//================================================== + +object CW7a { + +type Pos = (Int, Int) // a position on a chessboard +type Path = List[Pos] // a path...a list of positions + +//(1a) Complete the function that tests whether the position +// is inside the board and not yet element in the path. + +//def is_legal(dim: Int, path: Path)(x: Pos) : Boolean = ... + + +//(1b) Complete the function that calculates for a position +// all legal onward moves that are not already in the path. +// The moves should be ordered in a "clockwise" manner. + +//def legal_moves(dim: Int, path: Path, x: Pos) : List[Pos] = ... + + +//some test cases +// +//assert(legal_moves(8, Nil, (2,2)) == +// List((3,4), (4,3), (4,1), (3,0), (1,0), (0,1), (0,3), (1,4))) +//assert(legal_moves(8, Nil, (7,7)) == List((6,5), (5,6))) +//assert(legal_moves(8, List((4,1), (1,0)), (2,2)) == +// List((3,4), (4,3), (3,0), (0,1), (0,3), (1,4))) +//assert(legal_moves(8, List((6,6)), (7,7)) == List((6,5), (5,6))) + + +//(1c) Complete the two recursive functions below. +// They exhaustively search for knight's tours starting from the +// given path. The first function counts all possible tours, +// and the second collects all tours in a list of paths. + +//def count_tours(dim: Int, path: Path) : Int = ... + +//def enum_tours(dim: Int, path: Path) : List[Path] = ... + + +}