public static void Main(string[] args)
{
// Build up the board.
// A board is a set of "subproblems" that piece together to form the entire "problem"
// A subproblem would be, for example: s[0] = s[1] = ... = s[n] = SubProblem(Operator.Multiply, 18).
// Meaning the squares 0 through n multiply to equal 18.
Problem problem = new Problem();
problem.SubProblems[0, 0] = problem.SubProblems[0, 1] = problem.SubProblems[1, 1] = new SubProblem(Operator.Multiply, 18);
problem.SubProblems[1, 0] = problem.SubProblems[2, 0] = problem.SubProblems[3, 0] = problem.SubProblems[4, 0] = problem.SubProblems[4, 1] = new SubProblem(Operator.Multiply, 5040);
problem.SubProblems[5, 0] = new SubProblem(Operator.Constant, 7);
problem.SubProblems[6, 0] = problem.SubProblems[7, 0] = new SubProblem(Operator.Divide, 2);
problem.SubProblems[8, 0] = problem.SubProblems[8, 1] = problem.SubProblems[7, 1] = new SubProblem(Operator.Multiply, 180);
problem.SubProblems[2, 1] = problem.SubProblems[2, 2] = problem.SubProblems[1, 2] = new SubProblem(Operator.Add, 17);
problem.SubProblems[3, 1] = problem.SubProblems[3, 2] = new SubProblem(Operator.Add, 7);
problem.SubProblems[5, 1] = problem.SubProblems[5, 2] = new SubProblem(Operator.Add, 17);
problem.SubProblems[6, 1] = problem.SubProblems[6, 2] = new SubProblem(Operator.Divide, 4);
problem.SubProblems[0, 2] = problem.SubProblems[0, 3] = problem.SubProblems[0, 4] = new SubProblem(Operator.Add, 15);
problem.SubProblems[4, 2] = problem.SubProblems[4, 3] = problem.SubProblems[5, 3] = new SubProblem(Operator.Add, 13);
problem.SubProblems[7, 2] = problem.SubProblems[8, 2] = problem.SubProblems[8, 3] = problem.SubProblems[8, 4] = new SubProblem(Operator.Multiply, 56);
problem.SubProblems[1, 3] = problem.SubProblems[2, 3] = problem.SubProblems[3, 3] = new SubProblem(Operator.Multiply, 224);
problem.SubProblems[6, 3] = problem.SubProblems[7, 3] = new SubProblem(Operator.Subtract, 8);
problem.SubProblems[1, 4] = problem.SubProblems[1, 5] = problem.SubProblems[0, 5] = new SubProblem(Operator.Multiply, 126);
problem.SubProblems[2, 4] = problem.SubProblems[2, 5] = new SubProblem(Operator.Subtract, 3);
problem.SubProblems[3, 4] = problem.SubProblems[4, 4] = problem.SubProblems[5, 4] = new SubProblem(Operator.Multiply, 35);
problem.SubProblems[6, 4] = problem.SubProblems[6, 5] = problem.SubProblems[5, 5] = new SubProblem(Operator.Add, 8);
problem.SubProblems[7, 4] = problem.SubProblems[7, 5] = problem.SubProblems[8, 5] = new SubProblem(Operator.Add, 15);
problem.SubProblems[3, 5] = problem.SubProblems[4, 5] = new SubProblem(Operator.Add, 17);
problem.SubProblems[0, 6] = problem.SubProblems[1, 6] = problem.SubProblems[2, 6] = problem.SubProblems[3, 6] = new SubProblem(Operator.Multiply, 216);
problem.SubProblems[4, 6] = new SubProblem(Operator.Constant, 1);
problem.SubProblems[5, 6] = problem.SubProblems[6, 6] = problem.SubProblems[7, 6] = problem.SubProblems[8, 6] = new SubProblem(Operator.Add, 26);
problem.SubProblems[0, 7] = problem.SubProblems[1, 7] = new SubProblem(Operator.Subtract, 1);
problem.SubProblems[2, 7] = problem.SubProblems[3, 7] = new SubProblem(Operator.Add, 3);
problem.SubProblems[4, 7] = problem.SubProblems[4, 8] = problem.SubProblems[3, 8] = problem.SubProblems[5, 8] = new SubProblem(Operator.Add, 23);
problem.SubProblems[5, 7] = problem.SubProblems[6, 7] = new SubProblem(Operator.Divide, 2);
problem.SubProblems[7, 7] = problem.SubProblems[8, 7] = new SubProblem(Operator.Subtract, 1);
problem.SubProblems[0, 8] = problem.SubProblems[1, 8] = problem.SubProblems[2, 8] = new SubProblem(Operator.Add, 14);
problem.SubProblems[6, 8] = problem.SubProblems[7, 8] = problem.SubProblems[8, 8] = new SubProblem(Operator.Multiply, 135);
problem.Solve();
}
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;
}