/* Problem URL: https://codeforces.com/contest/2151/problem/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; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); const ll mod = 998244353; vl fact(2e5 + 1); vl inv(2e5 + 1); fact[0] = 1; fact[1] = 1; nrep(i, 2, 2e5 + 1) { fact[i] = (fact[i - 1] * i) % mod; } auto fpow = [&](ll a, ll p) { ll ans = 1; rep(i, 30) { if ((p >> i) & 1) { ans *= a; ans %= mod; } a *= a; a %= mod; } return ans; }; auto comb = [&](ll n, ll k) { return (fact[n] * fpow((fact[k] * fact[n - k]) % mod, mod - 2)) % mod; }; int t; cin >> t; while (t--) { int n; cin >> n; vi count(n); cin >> count; vi lim(n); rep(i, n >> 1) { lim[i] = 2; } if (n & 1) { lim[n >> 1] = 1; } auto getans = [&]() { if (accumulate(all(count), 0LL) != n) { return 0LL; } ll ans = 1; int total = 0; for (int i = n - 1; i >= 0; i--) { int c = lim[i]; total += c; if (total < count[i]) { return 0LL; } ans *= comb(total, count[i]); ans %= mod; total -= count[i]; } return ans; }; cout << getans() << '\n'; } }