\(P(x)\) is a monic polynomial with integral coefficients \(a_1, a_2, a_3,...,a_9\) are distinct integers such that \(P(a_1) =P(a_2)=...=P(a_9)=10\). Find the integer \(b\) such that \(P(b)=981\).

If you think that no such integer exists, write 0 as your answer.

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