class GridSquare
    {
        private int GridRow;
        private int GridCol;
        private int SquareValue = 0;
        private int[] SquareCandidates = new int[10] { 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 };
        private int GridMiniSquare;
        public GridSquare(int r, int c)
        {
            GridRow = r;
            GridCol = c;
            GridMiniSquare = (int)((c-1) / 3) + (3 * (int)((r-1)/3));
                
        }
        public int MiniSquare
        {
            get { return GridMiniSquare; }
            
        }
        public int Value
        {
            get { return SquareValue; }
            set { SquareValue = value; }
        }
        public int Row
        {
            get { return GridRow; }
            set { GridRow = value; }
        }
        public int Col
        {
            get { return GridCol; }
            set { GridCol = value; }
        }
        public int this[int i]
        {
            get { return SquareCandidates[i]; }
            set { SquareCandidates[i] = value; }
        }
        public int NumCandidates()
        {
            int sumCands = 0;
            for (int i = 1; i <= 9; i++)
            {
                sumCands += SquareCandidates[i];
            }
            sumCands = 9 - sumCands;
            return sumCands;
        }
        public string DisplayCandidates()
        {
            string cands = "";
            for (int i = 1; i <= 9; i++)
            {
                if (SquareCandidates[i] == 0)
                {
                    cands += i + " ";
                }
                else
                {
                    cands += " ";
                }
            }
            return cands;
        }
        
    }