#include #ifdef LOCAL #include #else #define debug(...) void(0) #endif #include "atcoder/convolution" #include "atcoder/modint" using namespace std; typedef long long ll; #define all(x) begin(x), end(x) constexpr int INF = (1 << 30) - 1; constexpr long long IINF = (1LL << 60) - 1; constexpr int dx[4] = {1, 0, -1, 0}, dy[4] = {0, 1, 0, -1}; template istream& operator>>(istream& is, vector& v) { for (auto& x : v) is >> x; return is; } template ostream& operator<<(ostream& os, const vector& v) { auto sep = ""; for (const auto& x : v) os << exchange(sep, " ") << x; return os; } template bool chmin(T& x, U&& y) { return y < x and (x = forward(y), true); } template bool chmax(T& x, U&& y) { return x < y and (x = forward(y), true); } template void mkuni(vector& v) { sort(begin(v), end(v)); v.erase(unique(begin(v), end(v)), end(v)); } template int lwb(const vector& v, const T& x) { return lower_bound(begin(v), end(v), x) - begin(v); } /* (j + k)^3 = j^3 + 3(j + k)jk + k^3 (j + k)jk = ((j + k)^3 - j^3 - k^3) / 3 B_j C_k x^{(j + k)jk} = (B_j x^{-j^3}) (C_k x^{-k^3}) x^{(j + k)^3} (j + k)^3 // 3 - j^3 // 3 - k^3 // 3 + ((j + k) % 3 - j % 3 - k % 3) / 3 最後の項が -1 or 0 */ using mint = atcoder::static_modint<943718401>; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, x; cin >> n >> x; vector A(n + 1), B(n + 1), C(n + 1); cin >> A >> B >> C; mint ans = 0; if (x == 0) { for (int i = 0; i <= n; i++) { ans += mint(A[i]) * B[0] * C[i]; ans += mint(A[i]) * B[i] * C[0]; } ans -= mint(A[0]) * B[0] * C[0]; cout << ans.val() << '\n'; return 0; } vector power(n + 1); for (int i = 0; i <= n; i++) power[i] = mint(x).pow(1LL * i * i * i / 3); mint inv = mint(x).inv(); vector b(n + 1, 0), c(n + 1, 0); for (int j = 0; j < 3; j++) { for (int k = 0; k < 3; k++) { for (int i = 0; i <= n; i++) { mint p = power[i].inv(); b[i] = (i % 3 == j ? p * B[i] : 0); c[i] = (i % 3 == k ? p * C[i] : 0); } auto a = atcoder::convolution(b, c); for (int i = 0; i <= n; i++) ans += a[i] * power[i] * A[i] * (j + k >= 3 ? inv : 1); } } cout << ans.val() << '\n'; return 0; }