Вопрос пользователя:
Ответ нейросети:
Для начала разложим многочлен P(x) = (i + x)^{2024} на действительные и мнимые части.
(i + x)^{2024} = (x^2 + 1)^{1012} = C_{1012}^{0}x^{2024} + C_{1012}^{1}x^{2023} + ... + C_{1012}^{1012}x^{0}
Так как мы ищем только действительные коэффициенты, то нам нужно найти только члены с четными степенями x.
Таким образом, действительные коэффициенты будут равны сумме коэффициентов при x^{0}, x^{2}, x^{4}, ..., x^{2024}.
S = C_{1012}^{0} + C_{1012}^{2} + C_{1012}^{4} + ... + C_{1012}^{2024}
Теперь найдем значение S и возьмем от него двоичный логарифм:
S = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012} = 2^{1012}
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