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Is this the best we can do? How far are we from our desired 136299? If we subtract, we get \(136299 - 136286 = 13\text{.}\) So we know we cannot go up to 84, that will be too much. In other words, we have found that

\begin{equation*} 136299 = 83 \cdot 1642 + 13\text{.} \end{equation*}

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