#include #include #include #include #include int main() { using mint = atcoder::modint998244353; constexpr int kMaxT = 20000, kMaxN = 10000000; constexpr std::int64_t kMaxM = 1000000000000000000; using Matrix = std::array, 2>; const auto Mult = [](const Matrix& x, const Matrix& y) -> Matrix { Matrix res{0, 0, 0, 0}; for (int i = 0; i < 2; ++i) { for (int k = 0; k < 2; ++k) { for (int j = 0; j < 2; ++j) { res[i][j] += x[i][k] * y[k][j]; } } } return res; }; const auto Pow = [Mult](const Matrix& x, std::int64_t exponent) -> Matrix { Matrix res{1, 0, 0, 1}, tmp = x; for (; exponent > 0; exponent /= 2) { if (exponent % 2 == 1) res = Mult(res, tmp); tmp = Mult(tmp, tmp); } return res; }; // 前計算 std::array dp1{}; dp1[0][0][0] = dp1[0][1][1] = 1; for (int i = 0; i < kMaxN; ++i) { dp1[i + 1][0][0] = (i + 1) * 2; dp1[i + 1][0][1] = 1; dp1[i + 1][1][0] = i + 1; dp1[i + 1] = Mult(dp1[i + 1], dp1[i]); } std::array dp2{}; dp2[0][0][0] = dp2[0][1][1] = 1; for (int i = 0; i < kMaxN; ++i) { dp2[i + 1][0][0] = (i + 1) * 2; dp2[i + 1][0][1] = 1; dp2[i + 1][1][0] = i; dp2[i + 1] = Mult(dp2[i], dp2[i + 1]); } int t; std::cin >> t; assert(1 <= t && t <= kMaxT); while (t--) { int n; std::int64_t m; std::cin >> n >> m; assert(0 <= n && n <= kMaxN && 0 <= m && m <= kMaxM); if (n > m) { const int tmp = m; m = n; n = tmp; } const Matrix dp = Mult(Mult(dp2[n], Pow(Matrix{n * 2 + 1, 1, n, 0}, m - n)), dp1[n]); std::cout << dp[0][0].val() << '\n'; } return 0; }