#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define INF 1000000000 using namespace std; typedef long long ll; const int MAXN = 600; const ll MOD = 1000000007; ll fact[MAXN]; ll dp[MAXN][MAXN]; void init() { // fact fact[0] = 1; for (ll i = 1; i < MAXN; i++) { fact[i] = (fact[i-1] * i) % MOD; } // dp dp[0][0] = 1; for (int i = 1; i < MAXN; i++) { for (int j = 1; j <= i; j++) { dp[i][j] = (dp[i-1][j-1] + (j * dp[i-1][j])%MOD) % MOD; } } } ll mod_pow(ll p, ll n, ll m = MOD) { if (n == 0) return 1; if (p == 0) return 0; if (n == 1) return p % m; if (n % 2 == 0) { ll tmp = mod_pow(p, n/2, m); return (tmp * tmp) % m; } else { ll tmp = mod_pow(p, n-1, m); return (p * tmp) % m; } } // extgcd ll extgcd(ll a, ll b, ll& x, ll& y) { ll d = a; if (b != 0) { d = extgcd(b, a % b, y, x); y -= (a / b) * x; } else { x = 1; y = 0; } return d; } // mod_inverse ll mod_inverse(ll a, ll m = MOD) { ll x, y; extgcd(a, m, x, y); return (m+x%m) % m; } int main(void) { init(); int N; cin >> N; ll ans = 0; for (int i = 1; i <= N; i++) { // i組作る ll tmp = (fact[N] * mod_inverse(fact[N-i])) % MOD; tmp = (tmp * mod_inverse(fact[i])) % MOD; for (int j = 1; j <= i; j++) { // jグループ作る ll x = (tmp * dp[i][j]) % MOD; x = (x * mod_pow(j*(j-1), N-i)) % MOD; ans += x; ans %= MOD; } } cout << ans << endl; return 0; }