#include #include #include using namespace std; #define REP(i,a,b) for(int i=a;i<(int)b;i++) #define rep(i,n) REP(i,0,n) typedef long long ll; int const MOD = 1e9+7; int main() { ll N; cin >> N; vector> dp(600, vector(600)); REP(i, 1, 600) { dp[i][1] = 1; REP(j, 2, 600) { (dp[i][j] = dp[i-1][j-1] + j*dp[i-1][j]) %= MOD; } } vector> comb(600, vector(600)); rep(i, 600) { comb[i][0] = 1; REP(j, 1, i+1) { (comb[i][j] = comb[i-1][j] + comb[i-1][j-1]) %= MOD; } } // (i*(i-1)) ^ j を計算 vector> prepow(600, vector(600)); rep(i, 600) { prepow[i][0] = 1; rep(j, 600) { (prepow[i][j+1] = prepow[i][j] * i*(i-1)) %= MOD; } } ll ans = 0; REP(i, 1, N+1) REP(j, 1, i+1) { (ans += comb[N][i] * dp[i][j] % MOD * prepow[j][N-i] % MOD) %= MOD; } cout << ans << endl; return 0; }