/// <summary>
        /// Fills the leftInts array with all blocks as far up as possible
        /// </summary>
        /// <param name="column">column index</param>
        /// <param name="leftInts">array to edit</param>
        /// <param name="clueIndex">clue to use for this step in recursion</param>
        /// <param name="colPos">current fill position of array. (used for recursion)</param>
        /// <returns>false if a contradiction is encountered</returns>
        private bool ColLeft(int column, int[] leftInts, int clueIndex, int colPos)
        {
            int clue = _ng.GetColumnNum(column, clueIndex);

            if (clue == 0)
            {
                for (int i = colPos; i < _ng.Height; i++)
                {
                    if (_ng.IsTrue(i, column))
                    {
                        return(false);
                    }
                    leftInts[i] = clueIndex * 2 - 1;
                }
                return(true);
            }
            int  localPos = colPos;
            bool posChanged;

            while (true)
            {
                posChanged = false;
                for (int i = localPos; i < localPos + clue; i++)
                {
                    if (i >= leftInts.Length)
                    {
                        return(false);
                    }
                    if (_ng.IsFalse(i, column))
                    {
                        for (int j = localPos; j <= i; j++)
                        {
                            if (_ng.IsTrue(j, column))
                            {
                                return(false);
                            }
                            leftInts[j] = clueIndex * 2 - 1;
                        }
                        localPos   = i + 1;
                        posChanged = true;
                        break;
                    }
                    leftInts[i] = clueIndex * 2;
                }
                if (posChanged)
                {
                    continue;
                }
                if (localPos + clue >= leftInts.Length)
                {
                    return(true);
                }
                if (!_ng.IsTrue(localPos + clue, column))
                {
                    leftInts[localPos + clue] = clueIndex * 2 + 1;
                    if (ColLeft(column, leftInts, clueIndex + 1, localPos + clue + 1))
                    {
                        return(true);
                    }
                    if (_ng.IsTrue(localPos, column))
                    {
                        return(false);
                    }
                }
                leftInts[localPos] = clueIndex * 2 - 1;
                localPos++;
            }
        }