#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define rep(x, s, t) for(llint (x) = (s); (x) <= (t); (x)++) #define reps(x, s) for(llint (x) = 0; (x) < (llint)(s).size(); (x)++) #define chmin(x, y) (x) = min((x), (y)) #define chmax(x, y) (x) = max((x), (y)) #define all(x) (x).begin(),(x).end() #define outl(x) cout << x << endl #define SP << " " << #define inf 1e18 #define mod 998244353 using namespace std; typedef long long llint; typedef long long ll; typedef pair P; ll n; ll prime[1000005]; map mp; int main(void) { ios::sync_with_stdio(0); cin.tie(0); rep(i, 2, 1005){ if(prime[i]) continue; for(int j = 2*i; j < 1000005; j+=i) prime[j] = i; } cin >> n; rep(i, 1, n){ ll x = i; map tmp; while(prime[x]){ tmp[prime[x]]++; x /= prime[x]; } if(x > 1) tmp[x]++; for(auto p : tmp){ P q = mp[p.first]; chmax(q.second, min(q.first, p.second)); chmax(q.first, p.second); mp[p.first] = q; } } //for(auto q : mp) cout << q.first << " " << q.second.first << " " << q.second.second << endl; ll ans = 0, ans_i; rep(i, 1, n){ ll x = i; map tmp; while(prime[x]){ tmp[prime[x]]++; x /= prime[x]; } if(x > 1) tmp[x]++; ll mul = 1; for(auto p : tmp){ P q = mp[p.first]; if(q.second >= p.second) continue; rep(i, 1, p.second-q.second) mul *= p.first; } //cout << i << " " << mul << endl; if(ans < mul) ans = mul, ans_i = i; } //cout << ans_i << endl; mp.clear(); rep(i, 1, n){ if(i == ans_i) continue; ll x = i; map tmp; while(prime[x]){ tmp[prime[x]]++; x /= prime[x]; } if(x > 1) tmp[x]++; for(auto p : tmp){ P q = mp[p.first]; chmax(q.second, min(q.first, p.second)); chmax(q.first, p.second); mp[p.first] = q; } } //for(auto q : mp) cout << q.first << " " << q.second.first << " " << q.second.second << endl; ans = 1; for(auto p : mp){ rep(i, 1, p.second.first) ans *= p.first, ans %= mod; } cout << ans << endl; return 0; }