#pragma GCC target("avx2") #pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } int main() { ll N; cin >> N; vector A(N); vector B(N); vector CC(0); vector base(0); for (ll i = 0; i < N; i++) { cin >> A[i]; } for (ll i = 0; i < N; i++) { cin >> B[i]; if (B[i][B[i].size() - 1] == 'X') { if (B[i].size() > 1) { CC.push_back( pll(stoll(A[i]), stoll(B[i].substr(0, B[i].size() - 1)))); } else { CC.push_back(pll(stoll(A[i]), 0LL)); } } else { base.push_back(pll(stoll(A[i]), stoll(B[i]))); } } ll l_base = base.size(); vector>>> dp( l_base + 1, vector>>( 9LL, vector>(5LL, vector(34LL)))); dp[0][0][0][0] = 1; for (ll i = 0; i < l_base; i++) { for (ll j = 0; j <= 8; j++) { for (ll k = 0; k <= 4; k++) { for (ll l = 0; l <= 33; l++) { ll a = base[i].first; ll b = base[i].second; if (k + a <= 4 && l + b <= 33 && j < 8) { dp[i + 1][j + 1][k + a][l + b] += dp[i][j][k][l]; dp[i + 1][j + 1][k + a][l + b] %= mod2; } dp[i + 1][j][k][l] += dp[i][j][k][l]; dp[i + 1][j][k][l] %= mod2; } } } } // debug(base); ll ans = 0; vector> CCs(5, vector(34, 0)); for (ll i = 0; i < CC.size(); i++) { CCs[CC[i].first][CC[i].second] += 1; } for (ll i = 0; i <= 4; i++) { for (ll j = 0; j <= 33; j++) { if (j <= 32) { continue; } ans += (dp[l_base][8][i][j] * CCs[4 - i][33 - j]); ans %= mod2; } } cout << ans << endl; }