#include #include #include using namespace std; using Mint = atcoder::modint998244353; int main() { int N, A, B; cin >> N >> A >> B; Mint ab = Mint(A) / Mint(B); // prob of 0 winning when # of 0 is idx. vector base = {0, 1}; auto conv = [&](vector p) { int N = p.size() - 1; vector pc(N + 1); for (int i = 0; i <= N; ++i) pc[i] = 1 - p[i]; vector fact(2 * N + 1); fact[0] = 1; for (int i = 1; i <= 2 * N; ++i) fact[i] = i * fact[i - 1]; for (int i = 0; i <= N; ++i) { Mint C = fact[N] / fact[N - i] / fact[i]; pc[i] *= C; p[i] *= C; } auto v1 = atcoder::convolution(p, p); auto v2 = atcoder::convolution(p, pc); for (int i = 0; i <= 2 * N; ++i) { Mint C = fact[2 * N] / fact[i] / fact[2 * N - i]; v1[i] += 2 * ab * v2[i]; v1[i] /= C; } return v1; }; for (int i = 0; i < N; ++i) base = conv(base); for (int i = 0; i < (1 << N); ++i) cout << (base[i + 1] - base[i]).val() << endl; }