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Let $\mathrm{A}=\left(\begin{array}{ll}0 & 1 \\ 1 & k\end{array}\right), k \in \mathbb{R}$ and $\mathrm{A}^3=\left(\begin{array}{ll}a & b \\ c & d\end{array}\right)$. If $d=228$, then $b+c=$
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