#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; vector fps_inverse(vector f, int precision) { int n = f.size(); assert(n >= 1 && f[0] != 0); int len = 1; const int z = bit_ceil(1U * precision); vector g{f[0].inv()}; const mint inv4 = mint(4).inv(); mint inv4k = 1; while (len < z) { int nlen = 2 * len; vector ft(f.begin(), f.begin() + min(n, nlen)); ft.resize(nlen); butterfly(ft); vector gt = g; gt.resize(nlen); internal::butterfly(gt); for (int i = 0; i < nlen; i++) ft[i] *= gt[i]; internal::butterfly_inv(ft); ft.erase(ft.begin(), ft.begin() + len); ft.resize(nlen); internal::butterfly(ft); for (int i = 0; i < nlen; i++) ft[i] *= gt[i]; internal::butterfly_inv(ft); inv4k *= inv4; mint c = -inv4k; for (int i = 0; i < len; i++) g.emplace_back(c * ft[i]); len = nlen; } g.resize(precision); return g; } } int main() { ios::sync_with_stdio(false); cin.tie(0); int n, m; cin >> n >> m; VI a(n); rep(i, n) cin >> a[i]; string s; cin >> s; VI cnt(m + 1); rrep(i, m) cnt[i] = cnt[i+1] + (s[i] == 's'); using VM = vector; deque q1{{1}}, q2{{1}}; q2.emplace_back(VM{1, -(cnt[0] + 1)}); rep(i, m) if (s[i] == 'a') { int si = cnt[i+1] + 1; q1.emplace_back(VM{1, -si + 1}); q2.emplace_back(VM{1, -si}); } rep(_, 2) { while (q1.size() >= 2) { auto f = move(q1.front()); q1.pop_front(); auto g = move(q1.front()); q1.pop_front(); q1.emplace_back(convolution(f, g)); } swap(q1, q2); } auto f = move(q1.front()); q1.pop_front(); auto g = move(q2.front()); q2.pop_front(); f = convolution(fps_inverse(g, n + 1), f); mint ans; rep(i, n) { ans += a[i] * f[i] * f[n - (i + 1)]; } cout << ans.val() << '\n'; }