#include using namespace std; #define rep(i, n) for (int i = 0; i < int(n); i++) #define per(i, n) for (int i = (n)NOP; 0 <= i; i--) #define rep2(i, l, r) for (int i = (l); i < int(r); i++) #define per2(i, l, r) for (int i = (r)NOP; int(l) <= i; i--) #define MM << " " << #define pb push_back #define eb emplace_back #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) #define sz(x) (int)x.size() template void print(const vector &v, T x = 0) { int n = v.size(); for (int i = 0; i < n; i++) cout << v[i] + x << (i == n - 1 ? '\n' : ' '); if (v.empty()) cout << '\n'; } template using MaxHeap = priority_queue; template using MinHeap = priority_queue, greater>; using ll = long long; using pii = pair; using pll = pair; template bool chmax(T &x, const T &y) { return (x < y) ? (x = y, true) : false; } template bool chmin(T &x, const T &y) { return (x > y) ? (x = y, true) : false; } struct modint { long long num; const static long long p = 998244353; constexpr static long long pow(long long n, long long k) {//n^k(mod p) n %= p; long long ret = 1; while(k) { if(k&1) ret = ret * n % p; n = n * n % p; k >>= 1; } return ret; } // a*A + b*B = 1 constexpr static void euclid(long long &a, long long &b) { // a>=b A*b+B*(a-a/b*b)=1 if (a == 1) { a = 1; } else { long long A = b, B = a % b; euclid(A, B); b = (A - (p + a / b) % p * B % p + p) % p; a = B; } } constexpr static long long rev(const long long n) {// n*x-p*y=1 //long long q = p; //euclid(p, n, p); //return n % q; return pow(n,p-2); } constexpr modint() : num(0) {} constexpr modint(long long x) : num(x%p < 0 ? x%p+p : x%p) {} constexpr modint inv() const {return rev(num);} modint operator-() const {return modint(p-num);} modint& operator+=(const modint &other){ num = (num + other.num) % p; return *this; } modint& operator-=(const modint &other){ num = (num - other.num + p) % p; return *this; } modint& operator*=(const modint &other){ num = (num * other.num) % p; if(num < 0) num += p; return *this; } modint& operator/=(const modint &other){ (*this) *= other.inv(); return *this; } modint& operator+=(const long long &other){ num = (num + other) % p; return *this; } modint& operator-=(const long long &other){ num = (num - other + p) % p; return *this; } modint& operator*=(const long long &other){ num = (num * (other % p)) % p; return *this; } modint& operator/=(const long long &other){ (*this) *= rev(other); return *this; } modint& operator++(){return *this += 1;} modint& operator--(){return *this -= 1;} modint& operator=(const long long &other){return (*this) = modint(other);} modint operator+(const modint &other) const{return modint(*this) += other;} modint operator-(const modint &other) const{return modint(*this) -= other;} modint operator*(const modint &other) const{return modint(*this) *= other;} modint operator/(const modint &other) const{return modint(*this) /= other;} modint operator+(const long long &other) const{return modint(*this) += other;} modint operator-(const long long &other) const{return modint(*this) -= other;} modint operator*(const long long &other) const{return modint(*this) *= other;} modint operator/(const long long &other) const{return modint(*this) /= other;} bool operator==(const modint &other) const{return num == other.num;} }; std::istream& operator>>(std::istream &is, modint x) { is >> x.num; return is; } std::ostream& operator<<(std::ostream &os, const modint &x){ os << x.num; return os; } // ((n-1) + e^t) int main() { ll n; cin >> n; vector dp(4); vector poly(4); poly[0] += 1; poly[1] += modint(1).inv(); poly[2] += modint(2).inv(); poly[3] += modint(6).inv(); dp[0] += 1; rep(i,n) { vector tmp(4), now = poly; now[0] += i; rep(j,4) rep(k,j+1) tmp[j] += dp[k] * now[j - k]; swap(dp, tmp); } cout << dp.back() * 6 << endl; }