#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, k; cin >> n >> k; VI a(n), b(n); rep(i, n) cin >> a[i]; rep(i, n) cin >> b[i]; vector pa(n + 1, 1), pa_inv(n + 1); rep(i, n) pa[i + 1] = pa[i] * a[i]; pa_inv[n] = pa[n].inv(); rrep(i, n) pa_inv[i] = pa_inv[i + 1] * a[i]; mint ans; rep(z, 2) { vector add(n + 1), start(n + 1); start[0] = 1; mint now; rep(i, n + 1) { now += start[i] + add[i]; if (i + k + 1 <= n) add[i + k + 1] -= start[i] * pa[i + k + 1] * pa_inv[i]; if (i == n) break; start[i + 1] += now * b[i]; now *= a[i]; } if (z == 0) ans += now; else ans -= now; k--; } cout << ans.val() << '\n'; }