#include #include using namespace std; using namespace atcoder; //using mint = modint1000000007; //const int mod = 1000000007; using mint = modint998244353; const int mod = 998244353; //const int INF = 1e9; //const long long LINF = 1e18; #define rep(i, n) for (int i = 0; i < (n); ++i) #define rep2(i,l,r)for(int i=(l);i<(r);++i) #define rrep(i, n) for (int i = (n) - 1; i >= 0; --i) #define rrep2(i,l,r)for(int i=(r) - 1;i>=(l);--i) #define all(x) (x).begin(),(x).end() #define allR(x) (x).rbegin(),(x).rend() #define P pair template inline bool chmax(A & a, const B & b) { if (a < b) { a = b; return true; } return false; } template inline bool chmin(A & a, const B & b) { if (a > b) { a = b; return true; } return false; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int n, k; cin >> n >> k; vectora(n), b(n); rep(i, n)cin >> a[i]; rep(i, n)cin >> b[i]; vectors(n + 1, 1), si(n + 1); rep(i, n)s[i + 1] = s[i] * a[i]; si[n] = s[n].inv(); rrep(i, n)si[i] = si[i + 1] * a[i]; // f(k) := maxCombo < k auto f = [&](int k)->mint { std::vectordp0(n + 1), dp1(n + 1); dp1[0] = 1; rep(i, n + 1) { if (k <= i) { dp0[i] -= dp1[i - k] * s[i] * si[i - k]; } if (i == n)break; dp0[i + 1] += (dp0[i] + dp1[i]) * a[i]; dp1[i + 1] += (dp0[i] + dp1[i]) * b[i]; } return dp0[n] + dp1[n]; }; mint ans = f(k + 1) - f(k); cout << ans.val() << endl; return 0; }