#include #include using namespace std; constexpr int maxn = 2e5 + 10, mod = 998244353; struct qry { int n, m, id; } qr[maxn]; int qp[maxn], ans[maxn], fac[maxn], ifac[maxn]; int qpow (int a, int b) { int ans = 1; while (b > 0) { if ((b & 1) == 1) ans = 1ll * a * ans % mod; a = 1ll * a * a % mod; b >>= 1; } return ans; } int binom (int n, int m) { if (n < 0 || m < 0 || n < m) return 0; return 1ll * fac[n] * ifac[m] % mod * ifac[n - m] % mod; } signed main () { int q; cin >> q; qp[0] = 1; int B = 400; int inv2 = qpow(2, mod - 2); fac[0] = ifac[0] = 1; for (int i = 1; i <= 2e5; i ++) qp[i] = 1ll * qp[i - 1] * 2 % mod, fac[i] = 1ll * fac[i - 1] * i % mod; ifac[(signed)2e5] = qpow(fac[(signed)2e5], mod - 2); for (int i = 2e5; i > 1; i --) ifac[i - 1] = 1ll * ifac[i] * i % mod; for (int i = 1; i <= q; i ++) cin >> qr[i].n >> qr[i].m, qr[i].id = i; sort(qr + 1, qr + q + 1, [&](const qry& P, const qry& Q) { if ((P.n / B) == (Q.n / B)) return P.m < Q.m; return ((P.n / B) < (Q.n / B)); }); int _n = 0, _m = 0, now = 1; for (int i = 1; i <= q; i ++) { qr[i].n --, qr[i].m --; while (_n > qr[i].n) now = (1ll * now + binom(_n - 1, _m)) % mod * inv2 % mod, _n --; while (_m < qr[i].m) now = (1ll * now + binom(_n, _m + 1)) % mod, _m ++; while (_n < qr[i].n) now = ((2ll * now % mod) + mod - binom(_n, _m)) % mod, _n ++; while (_m > qr[i].m) now = (1ll * now + mod - binom(_n, _m)) % mod, _m --; ans[qr[i].id] = (1ll * qp[qr[i].n + 1] + mod - 1) % mod * now % mod; } for (int i = 1; i <= q; i ++) cout << ans[i] << '\n'; }