#if __INCLUDE_LEVEL__ == 0 #include __BASE_FILE__ using Fp = atcoder::modint998244353; using M = array, 2>; namespace atcoder { M operator*(const M& x, const M& y) { return { x[0][0] * y[0][0] + x[0][1] * y[1][0], x[0][0] * y[0][1] + x[0][1] * y[1][1], x[1][0] * y[0][0] + x[1][1] * y[1][0], x[1][0] * y[0][1] + x[1][1] * y[1][1], }; } M& operator*=(M& x, const M& y) { return x = x * y; } array operator*(const M& f, const array& x) { return { f[0][0] * x[0] + f[0][1] * x[1], f[1][0] * x[0] + f[1][1] * x[1], }; } } // namespace atcoder namespace { void solve() { static vector pref; static vector suff; if (pref.empty()) { constexpr int N = 1e7; pref.resize(N + 1); pref[0] = {1, 0, 0, 1}; for (int n : rep1(N)) { pref[n] = M{0, 1, n - 1, n * 2} * pref[n - 1]; } suff.resize(N + 1); suff[0] = {1, 0, 0, 1}; for (int n : rep1(N)) { suff[n] = suff[n - 1] * M{0, 1, n, n * 2}; } } int64_t n, m; scan(n, m); if (m < n) { swap(n, m); } array f{0, 1}; f = pref[n] * f; if (n < m) { f = power({0, 1, n, n * 2 + 1}, m - n) * f; } f = suff[n] * f; print(f[1]); } } // namespace int main() { ios::sync_with_stdio(false); cin.tie(nullptr); int t; scan(t); while (t--) { solve(); } } #else // __INCLUDE_LEVEL__ #include using namespace std; #include template constexpr T power(T x, N n) { assert(0 < n); while (n % 2 == 0) { x *= x; n >>= 1; } T ret = x; while (n >>= 1) { x *= x; if (n % 2) { ret *= x; } } return ret; } namespace std { template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } template istream& operator>>(istream& is, tuple& t) { return apply([&is](auto&... xs) -> istream& { return (is >> ... >> xs); }, t); } template >* = nullptr> auto operator>>(istream& is, R&& r) -> decltype(is >> *begin(r)) { for (auto&& e : r) { is >> e; } return is; } template ostream& operator<<(ostream& os, const pair& p) { return os << p.first << ' ' << p.second; } template ostream& operator<<(ostream& os, const tuple& t) { auto f = [&os](const auto&... xs) -> ostream& { [[maybe_unused]] auto sep = ""; ((os << exchange(sep, " ") << xs), ...); return os; }; return apply(f, t); } template >* = nullptr> auto operator<<(ostream& os, R&& r) -> decltype(os << *begin(r)) { auto sep = ""; for (auto&& e : r) { os << exchange(sep, " ") << e; } return os; } } // namespace std namespace atcoder { template * = nullptr> istream& operator>>(istream& is, T& x) { int v; is >> v; x = T::raw(v); return is; } template * = nullptr> ostream& operator<<(ostream& os, const T& x) { return os << x.val(); } } // namespace atcoder template void scan(Ts&&... xs) { (cin >> ... >> xs); } template void print(Ts&&... xs) { cout << tie(xs...) << '\n'; } inline auto rep(int l, int r) { return views::iota(min(l, r), r); } inline auto rep(int n) { return rep(0, n); } inline auto rep1(int l, int r) { return rep(l, r + 1); } inline auto rep1(int n) { return rep(1, n + 1); } inline auto per(int l, int r) { return rep(l, r) | views::reverse; } inline auto per(int n) { return per(0, n); } inline auto per1(int l, int r) { return per(l, r + 1); } inline auto per1(int n) { return per(1, n + 1); } inline auto len = ranges::ssize; #endif // __INCLUDE_LEVEL__