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For a given integer \(n\), define \(h(n)\) as the number of \(1\)s in the binary representation of \(n\).
And define $$F(N) = \displaystyle \sum_{n=0}^{2^N - 1} (-1)^{h(n)} \cdot 17^n \pmod {17^7 - 1}$$
Find \(F(75)\).
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