Find the largest natural number a for which the maximum value of f(x)= a - 1 + 2x-x² is smaller than the minimum value of g(x)=x²- 2ax + 10 - 2a

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Find the largest natural number a for which the maximum value of f(x)= a - 1 + 2x-x² is smaller than the minimum value of g(x)=x²- 2ax + 10 - 2a

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