11. (12 points) The figure below is a $3 \times 3$ grid, where each cell (except the last one) contains a number from $1-9$ and an arrow. Each arrow in a cell points to the direction of the next number's cell, for example, the arrow in cell 1 points to the right, indicating that cell 2 is to the right of cell 1; the arrow in cell 2 points diagonally down, indicating that cell 3 is diagonally below cell 2; the arrow in cell 3 points up, indicating that cell 4 is above cell 3, $\cdots$ (the pointed cell can be non-adjacent), thus forming a path from 1 to 9 covering the entire grid. Figure 2 is a grid that only marks the arrows and the numbers $1$ and $9$. If it also meets the above requirements to form a path from 1 to 9 covering the entire grid, then the cell containing $A$ should represent the number . $\qquad$
11. (12 points) As shown in the figure, it is a $3 \times 3$ grid, each cell (except the last cell) contains a number from $1-9$ and an arrow, each arrow in the cells points exactly to the direction of the next number's cell, for example, the arrow in cell 1 points to the right, indicating that cell 2 is to the right of cell 1, the arrow in cell 2 points diagonally down, indicating that cell 3 is diagonally below cell 2, the arrow in cell 3 points up, indicating that cell 4 is above cell 3, $\cdots$ (the pointed cell can be non-adjacent), thus forming a complete path from 1 to 9 through the entire grid, Figure 2 is a grid that only marks the arrows and the numbers $1$ and $9$, if it also meets the above requirements to form a complete path from 1 to 9 through the entire grid, then the cell where $A$ is located should represent the number 6.
【Solution】Solution: We can use the reverse method, the only cell pointing to 9 is the third column of the first row, so the third column of the first row is 8, pointing to the right, then 2 can only be in the second column of the first row, and so on, as shown in the figure, the cell $A$ should be marked with the number
6.

Therefore, the answer is 6.