#include #define all(c) c.begin(), c.end() #define rall(c) c.rbegin(), c.rend() using namespace std; using ll = long long; constexpr ll MOD = 1000000007; constexpr int N_MAX = 556; ll fact[N_MAX], rfact[N_MAX]; ll perm(ll n, ll r){ return (fact[n] * rfact[r]) % MOD; } ll comb(ll n, ll r){ return (perm(n, r) * rfact[n-r]) % MOD; } void init(ll n){ fact[0] = fact[1] = 1; rfact[0] = rfact[1] = 1; for(int i=2;i<=n;++i) { fact[i] = (fact[i-1] * (ll)i) % MOD; rfact[i] = 1; ll k = MOD-2; ll a = fact[i]; while(k > 0){ if(k & 1){ rfact[i] *= a; rfact[i] %= MOD; } a *= a; a %= MOD; k >>= 1; } } } class Stirling { public: int n, m; // ボールの個数,グループ数 ll s[2*N_MAX][N_MAX]; Stirling(int n, int m, bool is_the_second_kind=true): n(n), m(m) { if(is_the_second_kind) { for(int i=0;i<=n;++i) { s[i][0] = (i == 0)?1:0; if(i == 0) continue; for(int j=1;j<=m;++j) { s[i][j] = (s[i-1][j-1] + (s[i-1][j]*j) % MOD) % MOD; } } } } ll get(int i, int j) { return s[i][j]; } }; ll modpow(ll a, ll t) { ll ret = 1LL; while(t){ if(t & 1LL){ ret *= a; ret %= MOD; } a *= a; a %= MOD; t >>= 1; } return ret; } int main() { ll n; cin >> n; init(n); Stirling s = Stirling(n, n); ll ans = 0LL; for(ll x=1;x<=n;++x) { for(ll y=1;y<=x;++y) { ans += (((comb(n, x) * s.get(x, y)) % MOD) * modpow((y * (y-1)) % MOD, n-x)) % MOD; ans %= MOD; } } cout << ans << endl; }