#include using namespace std; template struct prefix_binomial_sum { prefix_binomial_sum(int n) : size(n), b(0) {} mint get(int n, int k) { assert(0 <= n && n <= size); build(); int tn = (n + b / 2) / b; int tk = (k + b / 2) / b; mint res = table[tn][tk]; tn *= b; tk *= b; while (tn < n) res = 2 * res - binom(tn++, tk); while (tn > n) res = (res + binom(--tn, tk)) * inv2; while (tk < k) res = res + binom(tn, ++tk); while (tk > k) res = res - binom(tn, tk--); return res; } private: int size, b; mint inv2; vector fac, finv; vector> table; mint binom(int n, int k) { if (n < k) return 0; return fac[n] * finv[n - k] * finv[k]; } void build() { if (b > 0) return; b = 300; inv2 = mint(2).inv(); int n = size / b; fac.resize(size + 1); finv.resize(size + 1); table.resize(n + 1); fac[0] = 1; for (int i = 1; i <= size; i++) { fac[i] = i * fac[i - 1]; } finv[size] = fac[size].inv(); for (int i = size; i >= 1; i--) { finv[i - 1] = i * finv[i]; } for (int i = 0; i <= n; i++) { table[i].resize(n + 1); table[i][0] = 1; mint cur = 1; for (int j = 1; j <= n * b; j++) { cur += binom(b * i, j); if (j % b == 0) { table[i][j / b] = cur; } } } } }; #include using mint = atcoder::modint998244353; int main() { ios::sync_with_stdio(false); cin.tie(nullptr); prefix_binomial_sum C(200000); int T; cin >> T; while (T--) { int N, M; cin >> N >> M; mint ans = mint(2).pow(N) - 1; ans *= C.get(N - 1, M - 1); cout << ans.val() << '\n'; } }