I think the answer to this problem is $1012$, but I'm not sure.
Any ideas? Any and all help is appreciated.
2026-04-24 17:39:02.1777052342
The polynomial P(x) is equal to $(i + x)^{2024}$. Let $S$ be the sum of all the real coefficients of $P(x)$. Find $\log_{2} S$.
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The answer is quite straight forward: $S=\mathrm{Re} P(1)=2^{1012}$, so $\log_2 S=1012$.