#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; using mint = modint998244353; template struct cntsum { T a, b; // a+bx mod x^2 friend cntsum operator+(const cntsum& lhs, const cntsum& rhs) { return {lhs.a + rhs.a, lhs.b + rhs.b}; } friend cntsum operator-(const cntsum& lhs, const cntsum& rhs) { return {lhs.a - rhs.a, lhs.b - rhs.b}; } friend cntsum operator*(const cntsum& lhs, const cntsum& rhs) { return {lhs.a * rhs.a, lhs.a * rhs.b + lhs.b * rhs.a}; } friend cntsum operator*(const T& c, const cntsum& x) { return {x.a, x.b + c * x.a}; } cntsum& operator+=(const cntsum& x) { return *this = *this + x; } cntsum& operator-=(const cntsum& x) { return *this = *this - x; } cntsum& operator*=(const cntsum& x) { return *this = *this * x; } }; using S = cntsum; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; vector dp(n + 1), ndp; dp[0] = {1, 0}; rep(_, n) { ndp.assign(n + 1, S{}); rep(i, n) { if (i) ndp[i-1] += (i - 1) * dp[i]; ndp[i+1] += dp[i]; } swap(dp, ndp); } mint ans = dp[0].b; cout << ans.val() << '\n'; }