#line 2 "/Users/tiramister/CompetitiveProgramming/Cpp/CppLibrary/Number/combination.hpp"

#include <vector>

template <class T>
struct Combination {
    int max_n;
    std::vector<T> f, invf;

    explicit Combination(int n)
        : max_n(n), f(n + 1), invf(n + 1) {
        f[0] = 1;
        for (int i = 1; i <= n; ++i) {
            f[i] = f[i - 1] * i;
        }

        invf[max_n] = f[max_n].inv();
        for (int i = max_n - 1; i >= 0; --i) {
            invf[i] = invf[i + 1] * (i + 1);
        }
    }

    T fact(int n) const { return n < 0 ? T(0) : f[n]; }
    T invfact(int n) const { return n < 0 ? T(0) : invf[n]; }
    T perm(int a, int b) const {
        return a < b || b < 0 ? T(0) : f[a] * invf[a - b];
    }
    T binom(int a, int b) const {
        return a < b || b < 0 ? T(0) : f[a] * invf[a - b] * invf[b];
    }
};
#line 2 "main.cpp"
#include <atcoder/modint>
#include <atcoder/convolution>
#include <iostream>
#line 6 "main.cpp"

using namespace std;

using mint = atcoder::modint998244353;
const Combination<mint> C(200000);

void solve() {
    int n;
    cin >> n;

    vector<mint> binom(n + 1), expo(n + 1);
    mint p = 1;
    for (int k = 0; k <= n; ++k) {
        binom[k] = C.binom(n, k);
        expo[k] = p * C.invfact(k);
        p *= n;
    }

    auto f = atcoder::convolution(binom, expo);
    cout << (f[n - 2] * C.fact(n - 2) / mint(n).pow(n - 2)).val() << "\n";
}

int main() {
    cin.tie(nullptr);
    ios::sync_with_stdio(false);

    solve();

    return 0;
}