private Sudoku(Sudoku sudoku)
{
this.BlockSize = sudoku.BlockSize;
this.BoardSize = sudoku.BoardSize;
this.possibleValues = sudoku.possibleValues;
this.blockIndex = sudoku.blockIndex;
this.inBlockIndex = sudoku.inBlockIndex;
this.rows = sudoku.rows.Select(row => row.ToArray()).ToArray();
this.columns = sudoku.columns.Select(column => column.ToArray()).ToArray();
this.blocks = sudoku.blocks.Select(block => block.ToArray()).ToArray();
this.rowValues = sudoku.rowValues.Select(values => new HashSet<byte>(values)).ToArray();
this.columnValues = sudoku.rowValues.Select(values => new HashSet<byte>(values)).ToArray();
this.blockValues = sudoku.rowValues.Select(values => new HashSet<byte>(values)).ToArray();
}
public Sudoku Generate(int blockSize, Level level)
{
for (var count = 0; count < MaxTries; count++)
{
var sudoku = new Sudoku(blockSize);
if (GenerateSolution(sudoku))
{
if (CreateBoard(sudoku, level))
{
return sudoku;
}
}
}
return null;
}
public bool SolveSolution(Sudoku sudoku)
{
var range = Enumerable.Range(0, sudoku.BoardSize);
var solutions =
range
.SelectMany(x => range.Select(y => new Tuple<int, int>(x, y)))
.Where(item => sudoku.GetValue(item.Item1, item.Item2) == 0)
.OrderBy(item => sudoku.GetPossibleValues(item.Item1, item.Item2).Count)
.ToList();
var index = 0;
var possibleValuesCache = new Dictionary<int, IList<byte>>();
int count = 0;
while (index >= 0 && index < solutions.Count)
{
count++;
if (count > 10338434) break;
var x = solutions[index].Item1;
var y = solutions[index].Item2;
if (!possibleValuesCache.ContainsKey(index))
{
possibleValuesCache[index] = sudoku.GetPossibleValues(x, y);
}
var possibleValues = possibleValuesCache[index];
if (possibleValues.Count == 0)
{
sudoku.SetValue(x, y, 0);
possibleValuesCache.Remove(index);
index--;
}
else
{
var value = possibleValues[random.Next(0, possibleValues.Count)];
possibleValues.Remove(value);
sudoku.SetValue(x, y, value);
index++;
}
}
return index >= solutions.Count;
}
/// <summary>
/// Empties cells from the solved sudoku board to create playable game board.
/// The result has a number of empty cells dependant on the level and only one correct solution.
/// </summary>
private bool CreateBoard(Sudoku sudoku, Level level)
{
// All indexes
var cells = Enumerable.Range(0, sudoku.BoardSize).SelectMany(x => Enumerable.Range(0, sudoku.BoardSize).Select(y => new Tuple<int, int>(x, y))).ToList();
// List of already veryfied, cleared cell indexes
var clearedCells = new List<Tuple<int, int>>();
// Number/index of the cell under try
var cellNumber = 0;
// How many cleared cells are required for the given level
var clearedCellsRange = LevelToClearCells[level];
// As long as there are more cells to try and the number of cleared cells is not higher then required maximum.
while (cells.Count > 0 && clearedCells.Count < clearedCellsRange.Item2)
{
// Cell index to try
var cell = GetNextCell(cells, level, cellNumber++);
var currentValue = sudoku.GetValue(cell.Item1, cell.Item2);
// Make sure that any value different from the current one disables the solution.
// Otherwise more than 1 solution would be possible after clearing this cell.
var valuesToCheck = sudoku.GetPossibleValues(cell.Item1, cell.Item2).ToList();
valuesToCheck.Remove(currentValue);
var correct = true;
foreach (var valueToCheck in valuesToCheck)
{
sudoku.SetValue(cell.Item1, cell.Item2, valueToCheck);
if (SolveSolution(sudoku))
{
// Other solution possible - this cell cannot be cleared.
correct = false;
break;
}
}
// If no other solution is possible we can clear this cell.
if (correct)
{
clearedCells.Add(new Tuple<int, int>(cell.Item1, cell.Item2));
}
// Make sure the cleared cells are really clear.
foreach (var clearedCell in clearedCells)
{
sudoku.SetValue(clearedCell.Item1, clearedCell.Item2, 0);
}
if (!correct)
{
// Other solution possible - this cell cannot be cleared.
// Set it to its original value.
sudoku.SetValue(cell.Item1, cell.Item2, currentValue);
}
}
return clearedCells.Count >= clearedCellsRange.Item1;
}
private bool GenerateSolution(Sudoku sudoku)
{
return GenerateRandomValues(sudoku) && SolveSolution(sudoku);
}
private bool GenerateRandomValues(Sudoku sudoku)
{
var indexes = Enumerable.Range(0, sudoku.BoardSize * sudoku.BoardSize).ToList();
for (int i = 0; i < RandomCells; i++)
{
var index = indexes[this.random.Next(indexes.Count)];
indexes.Remove(index);
var x = index / sudoku.BoardSize;
var y = index % sudoku.BoardSize;
var possibleValues = sudoku.GetPossibleValues(x, y);
if (possibleValues.Count == 0)
{
return false;
}
sudoku.SetValue(x, y, possibleValues[random.Next(possibleValues.Count)]);
}
return true;
}