private static void Play(ZhedBoard board) {
while (!board.isOver) {
board.PrintBoard();
Console.Write("Select tile (X, Y) / H for hint: ");
string input = Console.ReadLine();
if (input.ToLower() == "h") {
ShowHint(board);
continue;
}
string[] coordsInput = input.Split(); int X, Y;
if (coordsInput.Length != 2 || !int.TryParse(coordsInput[0], out X) || !int.TryParse(coordsInput[1], out Y)) {
Console.WriteLine("Invalid input");
continue;
}
Console.Write("Select direction (U D L R): ");
char dirInput = Console.ReadKey().KeyChar;
Console.WriteLine();
switch(char.ToUpper(dirInput)) {
case 'U': board = board.GoUp(new Coords(X, Y)); break;
case 'D': board = board.GoDown(new Coords(X, Y)); break;
case 'L': board = board.GoLeft(new Coords(X, Y)); break;
case 'R': board = board.GoRight(new Coords(X, Y)); break;
default: Console.WriteLine("Invalid direction."); break;
}
}
Console.WriteLine("You win!");
board.PrintBoard();
}
private int Heuristic1(ZhedBoard board)
{
int minZhedDistance = int.MaxValue;
foreach (int[] valueTile in board.GetValueTiles())
{
foreach (int[] finishTile in board.GetFinishTiles())
{
int zhedDistance;
if (valueTile[0] == finishTile[0])
{
zhedDistance = CalcZhedDistance(valueTile, finishTile, board, true);
}
else if (valueTile[1] == finishTile[1])
{
zhedDistance = CalcZhedDistance(valueTile, finishTile, board, false);
}
else
{
continue;
}
//Console.WriteLine("Min zhed distance calculated: {0}", zhedDistance);
if (zhedDistance < minZhedDistance)
{
minZhedDistance = zhedDistance;
}
}
}
return(minZhedDistance);
}
public static ZhedBoard SpreadTile(ZhedBoard board, Coords coords, Func <Coords, Coords> moveFunction)
{
int tileValue = board.TileValue(coords);
if (tileValue <= 0)
{
return(board);
}
ZhedBoard newBoard = new ZhedBoard(board);
newBoard.SetTile(coords, USED_TILE);
newBoard.boardValue += 2 * tileValue;
newBoard.UpdateValueTiles(coords);
while (tileValue > 0)
{
coords = moveFunction(coords);
if (!newBoard.inbounds(coords))
{
break;
}
switch (newBoard.TileValue(coords))
{
case EMPTY_TILE: newBoard.SetTile(coords, USED_TILE); tileValue--; break;
case FINISH_TILE: newBoard.SetTile(coords, WINNER_TILE); newBoard.isOver = true; break;
default: break;
}
}
return(newBoard);
}
public static int Heuristic2(ZhedBoard board)
{
if (board.isOver)
{
return(0);
}
List <int[]> valueTiles = board.GetValueTiles();
List <int[]> finishTiles = board.GetFinishTiles();
int numAligned = 0;
foreach (int[] finishTile in finishTiles)
{
foreach (int[] valueTile in valueTiles)
{
if (new Coords(valueTile[0], valueTile[1]).AlignedWith(new Coords(finishTile[0], finishTile[1])))
{
numAligned++;
}
}
}
if (numAligned == 0)
{
return(9999);
}
int a = 1 / numAligned;
//Console.WriteLine(a);
return(a);
}
/* Heuristic 1
* Minimum zhed Distance between a value tile and a finish tile.
*/
public static int Heuristic1(ZhedBoard board)
{
int minZhedDistance = int.MaxValue;
foreach (int[] valueTile in board.GetValueTiles())
{
foreach (int[] finishTile in board.GetFinishTiles())
{
int zhedDistance;
if (valueTile[0] == finishTile[0])
{
zhedDistance = CalcZhedDistance(valueTile, finishTile, board, true);
}
else if (valueTile[1] == finishTile[1])
{
zhedDistance = CalcZhedDistance(valueTile, finishTile, board, false);
}
else
{
continue;
}
if (zhedDistance < minZhedDistance)
{
minZhedDistance = zhedDistance;
}
}
}
return(minZhedDistance);
}
/* Heuristic 4
* Similar to heuristic 3, but takes into account the average in all 4 directions on each tile
*/
public static int Heuristic4(ZhedBoard board)
{
if (board.isOver)
{
return(0);
}
return((int)(1000 / board.getBoardTotalValue()));
}
/* Heuristic 3
* 1 / Sum of the number of tiles that can be covered with the current layout
*/
public static int Heuristic3(ZhedBoard board)
{
if (board.isOver)
{
return(0);
}
return(1000 / board.getBoardMaxValue());
}
public int Heuristic5(ZhedBoard board)
{
int a = Heuristic2(board);
int b = Heuristic4(board);
//Console.WriteLine(a + " " + b);
return(a + b);
}
private static void ShowHint(ZhedBoard board) {
ZhedStep hint = new Solver(board).GetHint();
if (hint == null)
Console.WriteLine("We couldn't solve this...\n");
else {
Console.Write("Perhaps... ");
hint.Print();
Console.WriteLine();
}
}
public int Heuristic4(ZhedBoard board)
{
if (board.isOver)
{
return(0);
}
int a = (int)(1000 / board.getBoardTotalMaxValue());
//Console.WriteLine(a);
return(a);
}
public int Heuristic3(ZhedBoard board)
{
if (board.isOver)
{
return(0);
}
int a = 1000 / board.getBoardMaxValue();
//Console.WriteLine(a);
return(a);
}
public ZhedStep zhedStep; //Zhed Step that created this node
public Node(ZhedBoard board, Node parent, ZhedStep zhedStep, int value)
{
this.board = board;
this.parent = parent;
this.zhedStep = zhedStep;
this.value = value;
this.height = 0;
while (parent != null)
{
this.height += 1;
parent = parent.parent;
}
}
/* Heuristic 1 auxiliary
* Calculates number of used tiles between a value tile and finish tile
*/
private static int GetNumUsedTiles(int[] valueTile, int[] finishTile, ZhedBoard board, Boolean alignedVertically)
{
int numUsedTiles = 0;
Func <Coords, Coords> moveFunction;
if (alignedVertically)
{
if (valueTile[1] > finishTile[1])
{
moveFunction = Coords.MoveUp;
}
else
{
moveFunction = Coords.MoveDown;
}
}
else
{
if (valueTile[0] < finishTile[0])
{
moveFunction = Coords.MoveRight;
}
else
{
moveFunction = Coords.MoveLeft;
}
}
Coords coords = moveFunction(new Coords(valueTile[0], valueTile[1]));
int tileValue = board.TileValue(coords);
while (tileValue != ZhedBoard.FINISH_TILE)
{
if (tileValue == ZhedBoard.USED_TILE)
{
numUsedTiles++;
// Console.WriteLine("Num used tiles: {0}", numUsedTiles);
}
coords = moveFunction(coords);
tileValue = board.TileValue(coords);
}
// if (numUsedTiles != 0)
//Console.WriteLine("Num used tiles: {0}", numUsedTiles);
return(numUsedTiles);
}
public ZhedBoard(ZhedBoard zhedBoard)
{
this.width = zhedBoard.width;
this.height = zhedBoard.height;
this.board = new List <List <int> >();
this.valueTilesCoords = new List <Coords>(zhedBoard.valueTilesCoords);
this.valueTiles = new List <int[]>(zhedBoard.valueTiles);
this.finishTiles = new List <int[]>(zhedBoard.finishTiles);
this.boardValue = zhedBoard.boardValue;
for (int i = 0; i < this.height; i++)
{
this.board.Add(new List <int>(zhedBoard.board[i]));
}
}
private List <Node> GetNextGeneration(Node parent, Func <ZhedBoard, int> heuristic)
{
List <Node> nextGeneration = new List <Node>();
List <Coords> valueTiles = parent.board.GetValueTilesCoords();
foreach (Coords coords in valueTiles)
{
ZhedBoard up = parent.board.GoUp(coords);
ZhedBoard down = parent.board.GoDown(coords);
ZhedBoard left = parent.board.GoLeft(coords);
ZhedBoard right = parent.board.GoRight(coords);
nextGeneration.Add(new Node(up, parent, new ZhedStep(Operations.MoveUp, coords), heuristic(up)));
nextGeneration.Add(new Node(down, parent, new ZhedStep(Operations.MoveDown, coords), heuristic(down)));
nextGeneration.Add(new Node(left, parent, new ZhedStep(Operations.MoveLeft, coords), heuristic(left)));
nextGeneration.Add(new Node(right, parent, new ZhedStep(Operations.MoveRight, coords), heuristic(right)));
}
return(nextGeneration);
}
public ZhedStep zhedStep; //Zhed Step that created this node
public Node(ZhedBoard board, Node parent, ZhedStep zhedStep, int value, int cost)
{
this.board = board;
this.parent = parent;
this.zhedStep = zhedStep;
this.value = value;
if (parent == null)
{
this.cost = cost;
}
else
{
this.cost = parent.cost + cost;
}
while (parent != null)
{
this.height += 1;
parent = parent.parent;
}
}
static void Main(string[] args)
{
ZhedBoard board = null;
try {
board = new ZhedBoard(Menu.LevelPickerMenu());
}
catch {
Console.WriteLine("Invalid board file!");
return;
}
Solver solver = new Solver(board);
Menu.ShowMenu();
switch(Menu.GetOption()) {
case SearchOption.Human: Play(board); break;
case SearchOption.SolveDFS: ShowZhedSteps(solver, SearchMethod.DFS, Solver.Heuristic0); break;
case SearchOption.SolveBFS: ShowZhedSteps(solver, SearchMethod.BFS, Solver.Heuristic0); break;
case SearchOption.SolveGreedy: ShowZhedSteps(solver, SearchMethod.Greedy, GetHeuristic()); break;
case SearchOption.SolveAstar: ShowZhedSteps(solver, SearchMethod.Astar, GetHeuristic()); break;
case SearchOption.SolveUniform: ShowZhedSteps(solver, SearchMethod.Uniform, Solver.Heuristic0); break;
}
}
/* Heuristic 5
* Combines heuristic 3 and 4
*/
public static int Heuristic5(ZhedBoard board)
{
return(Heuristic2(board) + Heuristic4(board));
}
/* Cost function
* Simply assumes that expanding a tile is more beneficial than not expanding it
*/
private int Cost(ZhedBoard board, Coords coords)
{
return(-30);
}
public int Heuristic0(ZhedBoard board)
{
return(1);
}
public Solver(ZhedBoard board)
{
this.board = board;
}
private int CalcZhedDistance(int [] valueTile, int[] finishTile, ZhedBoard board, Boolean alignedVertically)
{
int actualDistance = ((alignedVertically) ? Math.Abs(finishTile[1] - valueTile[1]) : Math.Abs(finishTile[0] - valueTile[0]));
return(actualDistance - valueTile[2] - GetNumUsedTiles(valueTile, finishTile, alignedVertically));
}
