diff --git a/LibreOJ/108/108.cpp b/LibreOJ/108/108.cpp new file mode 100644 index 00000000..d0882a69 --- /dev/null +++ b/LibreOJ/108/108.cpp @@ -0,0 +1,72 @@ +#include +#include +#include +#include +#include + +using std::cin; +using std::cout; +const char endl = '\n'; + +const double PI = std::acos(-1); + +void FFT(std::vector>& a) { + if (a.size() == 1) return; + + int m = a.size() >> 1; + std::vector> a0, a1; + + for (int i = 0; i < m; i++) { + a0.emplace_back(a[i << 1]); + a1.emplace_back(a[i << 1 | 1]); + } + + FFT(a0), FFT(a1); + + std::complex + w0{std::cos(PI / m), std::sin(PI / m)}, + w1{1.0, 0.0}; + + for (int i = 0; i < m; i++) { + a[i] = a0[i] + w1 * a1[i]; + a[i + m] = a0[i] - w1 * a1[i]; + w1 *= w0; + } +} + +int main() { + std::ios::sync_with_stdio(false); + cin.tie(nullptr); + + int n, m; + + cin >> n >> m; + + int k = 1 << (std::__lg(n + m) + 1); + std::vector> f(k), g(k); + + for (int i = 0; i <= n; i++) { + cin >> f[i]; + } + + for (int i = 0; i <= m; i++) { + cin >> g[i]; + } + + FFT(f), FFT(g); + + for (int i = 0; i < k; i++) { + f[i] *= g[i]; + } + + FFT(f); + std::reverse(f.begin() + 1, f.end()); + + for (int i = 0; i <= n + m; i++) { + cout << static_cast(std::round(f[i].real() / k)) << ' '; + } + + cout << endl; + + return 0; +} diff --git a/LibreOJ/108/data/1.in b/LibreOJ/108/data/1.in new file mode 100644 index 00000000..ffe0b529 --- /dev/null +++ b/LibreOJ/108/data/1.in @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:9e408b01d3a187b99a62cd6e312729bea8f2159a24a960e17d560f0f5a3fad32 +size 400018 diff --git a/LibreOJ/108/data/1.out b/LibreOJ/108/data/1.out new file mode 100644 index 00000000..de087334 --- /dev/null +++ b/LibreOJ/108/data/1.out @@ -0,0 +1,3 @@ +version https://git-lfs.github.com/spec/v1 +oid sha256:790c3e8ed051204e43e3a2a1667635cfd3de974b7f34dc06f8464ee5d44767bf +size 1490574 diff --git a/LibreOJ/108/data/10.in b/LibreOJ/108/data/10.in new file mode 100644 index 00000000..6597f754 --- /dev/null +++ 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