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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 …
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