#include #include using namespace std; using isize = size_t; using i32 = int; using u32 = unsigned int; using i64 = long long; using u64 = unsigned long long; using i128 = __int128_t; using u128 = __uint128_t; using f64 = long double; using p2 = pair; using el = tuple; using mint = atcoder::modint998244353; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(18); _main(); } i64 pow(i64 x, i64 n) { i64 res = 1; i64 t = x; while (n > 0) { if (n & 1) { res = res * t; } t = t * t; n >>= 1; } return res; } i64 pow(i64 x, i64 n, i64 m) { i64 res = 1; i64 t = x % m; while (n > 0) { if (n & 1) { res = res * t % m; } t = t * t % m; n >>= 1; } return res; } void _main() { i64 p; cin >> p; vector inv(p, 0); i64 finv = 1; inv[1] = 1; i64 ans = 2 % p; for (i64 i = 2; i < p; i++) { inv[i] = (p - inv[p % i] * (p / i) % p) % p; finv = finv * inv[i] % p; ans += finv; ans %= p; } cout << ans << "\n"; }