#include #define int long long using namespace std; const int kMaxN = 2e5 + 10, kMod = 998244353; struct node { int x, y, id; } p[kMaxN]; int st[kMaxN], fac[kMaxN], inv[kMaxN], ans[kMaxN], n; int P(int x, int y) { int z = 1; for (; y; (y & 1) && (z = z * x % kMod), y >>= 1, x = x * x % kMod); return z; } int C(int x, int y) { return fac[x] * inv[y] % kMod * inv[x - y] % kMod; } signed main() { ios::sync_with_stdio(0), cin.tie(0), cout.tie(0); st[0] = fac[0] = 1; for (int i = 1, j = 2; i < kMaxN; i++, j = j * 2 % kMod) { st[i] = (st[i - 1] + j) % kMod, fac[i] = fac[i - 1] * i % kMod; } inv[kMaxN - 1] = P(fac[kMaxN - 1], kMod - 2); for (int i = kMaxN - 2; ~i; i--) { inv[i] = inv[i + 1] * (i + 1) % kMod; } cin >> n; for (int i = 1; i <= n; i++) { cin >> p[i].x >> p[i].y, p[i].id = i; } sort(p + 1, p + 1 + n, [](node x, node y) { return x.x / 450 != y.x / 450 ? x.x / 450 < y.x / 450 : x.y < y.y; }); int l = 1, r = 1, sum = 1; for (int i = 1; i <= n; i++) { int x = p[i].x, y = p[i].y; for (; l < x; sum = (sum * 2 - C(l - 1, r - 1) + kMod) % kMod, l++); for (; r > y; sum = (sum - C(l - 1, r - 1) + kMod) % kMod, r--); for (; l > x; l--, sum = (sum + C(l - 1, r - 1)) % kMod * inv[2] % kMod); for (; r < y; r++, sum = (sum + C(l - 1, r - 1)) % kMod); ans[p[i].id] = sum * st[p[i].x - 1] % kMod; } for (int i = 1; i <= n; i++) { cout << ans[i] << '\n'; } return 0; }