/* Problem URL: https://codeforces.com/problemset/problem/2086/D */ #include #include #include using namespace std; using namespace __gnu_pbds; template > using ordered_set = tree; #define V vector #define rmin(a, b) a = min(a, b) #define rmax(a, b) a = max(a, b) #define rep(i, lim) for (int i = 0; i < (lim); i++) #define nrep(i, s, lim) for (int i = s; i < (lim); i++) #define repv(i, v) for (auto &i : (v)) #define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; } #define sortv(v) sort(v.begin(), v.end()) #define all(v) (v).begin(), (v).end() using vi = vector; using vvi = vector; using vvvi = vector; using vvvvi = vector; using ll = long long; using vl = vector; using vvl = vector; using vvvl = vector; using vvvvl = vector; template auto operator<<(ostream &os, const vector &vec)->ostream& { os << vec[0]; for (size_t i = 1; i < vec.size(); i++) { os << ' ' << vec[i]; } os << '\n'; return os; } template auto operator>>(istream &is, vector &vec)->istream& { for (auto &i : vec) { is >> i; } return is; } template auto operator<<(ostream &os, const vector> &vec)->ostream& { for (auto &i : vec) { os << i[0]; for (size_t j = 1; j < i.size(); j++) { os << ' ' << i[j]; } os << '\n'; } return os; } template auto operator>>(istream &is, vector> &vec)->istream& { for (auto &i : vec) { for (auto &j : i) { is >> j; } } return is; } const int oo = INT32_MAX >> 1; const ll OO = INT64_MAX >> 1; const ll mod = 998244353; constexpr int MAXN = 1e6; ll fact[MAXN]; void pre() { fact[0] = 1; nrep(i, 1, MAXN) { fact[i] = (fact[i - 1] * i) % mod; } } #define TEST 1 void solve() { vi c(26); int s = 0; ll mu = 1; repv(i, c) { cin >> i; s += i; mu *= fact[i]; mu %= mod; } int o = (s + 1) >> 1; vi dp(o + 1); dp[0] = 1; rep(i, 26) { if (c[i] == 0) { continue; } for (int j = o; j >= c[i]; j--) { dp[j] += dp[j - c[i]]; dp[j] %= mod; } } auto fpow = [&](ll a, ll p) { ll ans = 1; rep(i, 61) { if ((p >> i) & 1) { ans = (ans * a) % mod; } a = (a * a) % mod; } return ans; }; cout << fact[o] * fact[s >> 1] % mod * fpow(mu, mod - 2) % mod * dp[o] % mod << '\n'; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); pre(); int t; (TEST && cin >> t) || (t = 1); while (t--) { solve(); } }