public SubProblem Prune(KenKenBoard prune)
{
// Prune this solution set given a board state.
SubProblem ret = new SubProblem(Operator, Value);
ret.mSolutions = new List<List<int>>();
ret.mSquares = mSquares;
// Iterate through every solution.
foreach (var sol in Solutions)
{
bool success = true;
// See if we can place this solution on the board.
for (int i = 0; i < mSquares.Count; i++)
{
if (!prune.CanPlace(mSquares[i], sol[i]))
{
success = false;
break;
}
}
if (success)
ret.mSolutions.Add(sol);
}
// No solutions = fail!
if (mSolutions.Count == 0)
return null;
return ret;
}
public KenKenBoard Solve(KenKenBoard board)
{
if (0 == mAll.Count)
return board;
// Get the next SubProblem that we want to try.
var subproblem = mAll[0];
var squares = subproblem.Squares;
// Iterate through all the solutions.
foreach (var solution in subproblem.Solutions)
{
for (int i = 0; i < solution.Count; i++)
{
// No ned to check the result, since the solution
// set is pruned to only valid solutions.
board.TryPlace(squares[i], solution[i]);
}
// Prune the board with this solution.
var newProb = Prune(board);
if (newProb != null)
{
// Resort based on the new pruned solutions.
newProb.Sort();
var ret = newProb.Solve(board);
if (ret != null)
return ret;
}
// Undo board state change.
foreach (Point p in squares)
board.UnsetPlace(p);
}
// No solution in this branch!
return null;
}
public void Solve()
{
// Just do some sanity checking to make sure every cell is part of a subproblem.
for (int x = 0; x < 9; x++)
{
for (int y = 0; y < 9; y++)
{
if (mSubProblems[x, y] == null)
Console.WriteLine("{0} {1}", x, y);
Debug.Assert(mSubProblems[x, y] != null);
mSubProblems[x, y].Squares.Add(new Point(x, y));
}
}
// Generate the solution set for each SubProblem.
for (int x = 0; x < 9; x++)
{
for (int y = 0; y < 9; y++)
{
mSubProblems[x, y].GenerateSolutions();
}
}
// Grab all the unique subproblems from the 9 by 9 board.
Dictionary<SubProblem, int> subProblems = new Dictionary<SubProblem, int>();
for (int x = 0; x < 9; x++)
{
for (int y = 0; y < 9; y++)
{
if (!subProblems.ContainsKey(mSubProblems[x, y]))
{
var sub = mSubProblems[x, y];
subProblems.Add(sub, sub.Squares.Count);
}
}
}
// Add the unique subproblems to a list.
mAll = new List<SubProblem>();
foreach (var val in subProblems.Keys)
{
var squares = val.Squares;
// Filter out invalid solutions, ie, 6+ = 2 2 2 would never be valid.
foreach (var solution in new List<List<int>>(val.Solutions))
{
KenKenBoard test = new KenKenBoard();
for (int i = 0; i < solution.Count; i++)
{
if (!test.TryPlace(squares[i], solution[i]))
{
val.Solutions.Remove(solution);
break;
}
}
}
mAll.Add(val);
}
// Sort the list in order of increasing number of possible solutions.
Sort();
// Attempt to solve with a empty KenKenBoard.
var ret = Solve(new KenKenBoard());
if (ret != null)
ret.Print();
else
Console.WriteLine("fail");
}
public Problem Prune(KenKenBoard board)
{
// Prune out solutions that are no longer valid
// given the current board.
Problem ret = new Problem();
ret.mAll = new List<SubProblem>();
for (int i = 1; i < mAll.Count; i++)
{
SubProblem sub = mAll[i];
SubProblem s = sub.Prune(board);
// If there are no solutions for this pruned SubProblem, this Problem failed.
if (s == null)
return null;
ret.mAll.Add(s);
}
return ret;
}