#include using namespace std; template struct prime_modint { using mint = prime_modint; unsigned int v; prime_modint() : v(0) {} prime_modint(unsigned int a) { a %= MOD; v = a; } prime_modint(unsigned long long a) { a %= MOD; v = a; } prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } static constexpr int mod() { return MOD; } mint& operator++() {v++; if(v == MOD)v = 0; return *this;} mint& operator--() {if(v == 0)v = MOD; v--; return *this;} mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; } mint& operator*=(const mint& rhs) { v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint r = 1, x = *this; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { assert(v); return pow(MOD - 2); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); } friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); } friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; } }; //using mint = prime_modint<1000000007>; using mint = prime_modint<998244353>; template istream& operator >> (istream& is, vector& vec) { for(T& x : vec) is >> x; return is; } template ostream& operator << (ostream& os, const vector& vec) { if(vec.empty()) return os; os << vec[0]; for(auto it = vec.begin(); ++it != vec.end(); ) os << ' ' << *it; return os; } int main(){ ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector a(n), pos(n); vector b(n); cin >> a >> b; vector dp(10, vector(5, vector(34))); dp[0][0][0] = 1; iota(pos.begin(), pos.end(), 0); sort(pos.begin(), pos.end(), [&](int lhs, int rhs){ return b[lhs].back() < b[rhs].back(); }); for(auto &&i : pos){ int v1 = a[i]; int v2 = 0; if(b[i].back() == 'X'){ b[i].pop_back(); if(b[i].size() >= 1) v2 = stoi(b[i]); for(int j = 0; v1 + j <= 4; j++){ for(int k = 0; v2 + k <= 33; k++){ int as = v1 + j; int bs = v2 + k; if(v2 == 0){ dp[9][as][bs] += dp[8][j][k]; }else{ if(as >= bs - 4) dp[9][as][bs] += dp[8][j][k]; } } } }else{ v2 = stoi(b[i]); for(int j = 7; j >= 0; j--){ for(int k = 0; v1 + k <= 4; k++){ for(int l = 0; v2 + l <= 33; l++){ dp[j + 1][v1 + k][v2 + l] += dp[j][k][l]; } } } } } cout << dp[9][4][33] << '\n'; }