Consider↵
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$R_k = \sum_{j = 0}^{ j = k - 1} \sqrt\nu_j(\sqrt{k - j} - \sqrt{k - 1 - j})$↵
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Can we compute $\sum_{j = 1}^{j = K} \nu_kR_k$ in less than O(K^2) ?↵
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$\nu$ andR$R$ are arrays of size $K$
↵
$R_k = \sum_{j = 0}^{ j = k - 1} \sqrt\nu_j(\sqrt{k - j} - \sqrt{k - 1 - j})$↵
$\newline$↵
Can we compute $\sum_{j = 1}^{j = K} \nu_kR_k$ in less than O(K^2) ?↵
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$\nu$ and