#include #include int cmp_ll (const void *ap, const void *bp) { long long a = *(long long *)ap; long long b = *(long long *)bp; if (a < b) { return -1; } if (a > b) { return 1; } return 0; } void add_segt (long long *t, int idx, long long val, int size) { idx = idx+size-1; t[idx] += val; while (idx > 0) { idx = (idx-1)/2; t[idx] += val; } return; } long long sum_segt_rec (long long *t, int a, int b, int k, int l, int r) { long long ans = 0LL; if (r <= a || b <= l) { return 0LL; } if (a <= l && r <= b) { return t[k]; } ans += sum_segt_rec(t, a, b, 2*k+1, l, (l+r)/2); ans += sum_segt_rec(t, a, b, 2*k+2, (l+r)/2, r); return ans; } long long sum_segt (long long *t, int a, int b, int size) { return sum_segt_rec(t, a, b, 0, 0, size); } long long power_mod (long long a, long long b, long long mod_num) { long long ans = 1LL; if (b > 0LL) { ans = power_mod(a, b/2LL, mod_num); ans = (ans * ans) % mod_num; if (b%2LL == 1LL) { ans = (ans * (a % mod_num)) % mod_num; } } return ans; } int main () { int n = 0; long long b[200000] = {}; long long c[200000] = {}; int res = 0; long long ans = 0LL; long long mod_num = 998244353LL; long long t[2][1048576] = {}; int size = 1; long long map[400000] = {}; int ucnt = 1; long long bc[400000][2] = {}; long long p[200000][2] = {}; res = scanf("%d", &n); for (int i = 0; i < n; i++) { res = scanf("%lld", b+i); res = scanf("%lld", c+i); bc[i][0] = b[i]; bc[i][1] = (long long)i; bc[n+i][0] = c[i]; bc[n+i][1] = (long long)(n+i); } qsort(bc, 2*n, sizeof(long long)*2, cmp_ll); map[0] = bc[0][0]; if (bc[0][1] < (long long)n) { b[(int)bc[0][1]] = 0LL; } else { c[((int)bc[0][1])-n] = 0LL; } for (int i = 1; i < 2*n; i++) { if (bc[i-1][0] != bc[i][0]) { map[ucnt] = bc[i][0]; ucnt++; } if (bc[i][1] < (long long)n) { b[(int)bc[i][1]] = (long long)(ucnt-1); } else { c[((int)bc[i][1])-n] = (long long)(ucnt-1); } } while (size <= ucnt) { size <<= 1; } for (int i = 0; i < n; i++) { p[i][0] = b[i]; p[i][1] = c[i]; } qsort(p, n, sizeof(long long)*2, cmp_ll); for (int i = 0; i < n; i++) { long long tmp = sum_segt(t[0], (int)p[i][0], (int)p[i][1], size)%mod_num; long long cnt = sum_segt(t[1], (int)p[i][0], (int)p[i][1], size)%mod_num; long long div = power_mod(map[(int)p[i][1]]-map[(int)p[i][0]]+1LL, mod_num-2LL, mod_num); tmp += sum_segt(t[1], (int)p[i][1], ucnt, size)*(map[(int)p[i][1]]-map[(int)p[i][0]]+1LL); tmp %= mod_num; tmp += mod_num-(cnt*(map[(int)p[i][0]]-1LL))%mod_num; tmp %= mod_num; tmp *= div; ans += mod_num-tmp%mod_num; ans += (long long)i; add_segt(t[0], (int)p[i][1], (map[(int)p[i][1]]*div)%mod_num, size); add_segt(t[1], (int)p[i][1], div, size); } ans %= mod_num; for (int i = 2; i < n; i++) { ans *= (long long)(i+1); ans %= mod_num; } printf("%lld\n", ans%mod_num); return 0; }