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1
vote
Check for common element in two arrays using FFT
This one is a bit esoteric, but:
$$
\prod_{1\leq i,j \leq n} (x_i-y_j)
$$
Could be decomposed to (as noted by @NotDijkstra)
$$
\prod_{i=1}^{n} p(x_i)
$$
where
$$
p (x) = \prod_{j=1}^{n} (x - y_j)
$$
r …