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#include <vector>
template <typename Mod> struct PowerTable : public std::vector<Mod> {
explicit PowerTable(int n, Mod a) : std::vector<Mod>(n) {
(*this)[0] = Mod{1};
for (int i = 1; i < n; ++i) {
(*this)[i] = (*this)[i - 1] * a;
}
}
};
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