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Omni-MATH / The coefficients of the polynomial P(x) are nonnegative integers, each less than 100. Given that P(10)=331633 and P(−10)=273373, compute P(1).

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problem

The coefficients of the polynomial P(x)P(x) are nonnegative integers, each less than 100. Given that P(10)=331633P(10)=331633 and P(−10)=273373P(-10)=273373, compute P(1)P(1).
Plain-text mathematical notation (without MathML)
The coefficients of the polynomial P(x) are nonnegative integers, each less than 100. Given that P(10)=331633 and P(−10)=273373, compute P(1).
Original LaTeX notation
The coefficients of the polynomial \(P(x)\) are nonnegative integers, each less than 100. Given that \(P(10)=331633\) and \(P(-10)=273373\), compute \(P(1)\).

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