From the point $(-1,-1)$, two rays are sent making angles of $45^{\circ}$ with the line $x+y=0$. These rays get reflected from the mirror $x+2 y=1$. If the equations of the reflected rays are $\mathrm{a} x+\mathrm{b} y=9$ and $\mathrm{c} x+\mathrm{d} y=7, \mathrm{a}, \mathrm{b}, \mathrm{c}, \mathrm{d} \in \mathbf{Z}$, then the value of $\mathrm{ad}+\mathrm{bc}$ is $\_\_\_\_$。
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