#include #include using namespace atcoder; #define rep(i, n) for (int i = 0; i < (n); ++i) using namespace std; using ll = long long; using mint = modint998244353; struct modinv { int n; vector d; modinv(): n(2), d({0,1}) {} mint operator()(int i) { while (n <= i) d.push_back(-d[mint::mod()%n]*(mint::mod()/n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } invs; struct modfact { int n; vector d; modfact(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*n), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } facts; struct modfactinv { int n; vector d; modfactinv(): n(2), d({1,1}) {} mint operator()(int i) { while (n <= i) d.push_back(d.back()*invs(n)), ++n; return d[i]; } mint operator[](int i) const { return d[i];} } ifacts; mint comb(int n, int k) { if (n < k || k < 0) return 0; return facts(n)*ifacts(k)*ifacts(n-k); } int main() { int n; cin >> n; mint ans; for (int i = 1; i <= n; ++i) { mint now = comb(n, i); now *= mint(i).pow(n); now *= mint(n+1).pow(i); if ((n-i)&1) ans -= now; else ans += now; } ans -= mint(n).pow(2*n); cout << ans.val() << '\n'; return 0; }