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What is the minimum value of p(2)p(2)p(2) if the following 4 conditions are followed?
p(x)p(x)p(x) is a polynomial of degree 171717.
All roots of p(x)p(x)p(x) are real.
All coefficients are positive.
The coefficient of x17x^{17}x17 is 1.
The product of roots of p(x)p(x)p(x) is -1.
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