#include #define int long long using namespace std; const int kMaxN = 2e5 + 5, kM = 998244353, Inv = (kM + 1) / 2; int n, s = 1, len, ans[kMaxN], inv[kMaxN], fac[kMaxN]; struct Node { int l, r, id; bool operator<(const Node &_) const { return l / len != _.l / len ? l / len < _.l / len : r < _.r; } } q[kMaxN]; template T W(T a, T n, T kM, T r = 1) { for (T i = 1; i <= n; n & i && (r = r * a % kM), a = a * a % kM, i <<= 1); return r; } int C(int x, int y) { if (x < 0 || y < 0 || x < y) return 0; return fac[x] * inv[y] % kM * inv[x - y] % kM; } signed main() { cin.tie(0)->ios::sync_with_stdio(0); fac[0] = inv[0] = 1; for (int i = 1; i < kMaxN; i++) { fac[i] = fac[i - 1] * i % kM; inv[i] = W(fac[i], kM - 2, kM); } cin >> n, len = sqrt(n); for (int i = 1; i <= n; i++) { cin >> q[i].l >> q[i].r; q[i].l--, q[i].r--, q[i].id = i; } sort(q + 1, q + n + 1); for (int i = 1, l = 0, r = 0; i <= n; i++) { for (; l < q[i].l; s = (s * 2 % kM - C(l, r) + kM) % kM, l++); for (; l > q[i].l; l--, s = (s + C(l, r)) % kM * Inv % kM); for (; r < q[i].r; r++, s = (s + C(l, r)) % kM); for (; r > q[i].r; s = (s - C(l, r) + kM) % kM, r--); ans[q[i].id] = s * ((W(2LL, q[i].l + 1, kM) - 1 + kM) % kM) % kM; } for (int i = 1; i <= n; i++) cout << ans[i] << '\n'; }