1 // Core Part about finding a single tour for a board using the

     2 // Warnsdorf Rule

     3 //==============================================================

     4 

     5 object M4b {

     6 

     7 

     8 // !!! Copy any function you need from file knight1.scala !!!

     9 //

    10 // If you need any auxiliary functions, feel free to 

    11 // implement them, but do not make any changes to the

    12 // templates below.

    13 

    14 type Pos = (Int, Int)    // a position on a chessboard 

    15 type Path = List[Pos]    // a path...a list of positions

    16 

    17 

    18 //(6) Complete the function that calculates a list of onward

    19 //    moves like in (2) but orders them according to Warnsdorf’s 

    20 //    rule. That means moves with the fewest legal onward moves 

    21 //    should come first.

    22 

    23 

    24 def ordered_moves(dim: Int, path: Path, x: Pos) : List[Pos] = ???

    25 

    26 

    27 //(7) Complete the function that searches for a single *closed* 

    28 //    tour using the ordered_moves function from (6). This

    29 //    function will be tested on a 6 x 6 board. 

    30 

    31 

    32 def first_closed_tour_heuristics(dim: Int, path: Path) : Option[Path] = ???

    33 

    34 

    35 //(8) Same as (7) but searches for *non-closed* tours. This 

    36 //    version of the function will be called with dimensions of 

    37 //    up to 30 * 30.

    38 

    39 def first_tour_heuristics(dim: Int, path: Path) : Option[Path] = ???

    40 

    41 

    42 

    43 }