#include using namespace std; typedef long long ll; typedef vector VI; typedef vector VVI; #define REP(i, n) for(int(i)=0;(i)<(n);++(i)) #define FOR(i, f, t) for(int(i)=(f);(i)<(t);(++i)) const int MOD = int(1e9+7); ll extgcd(ll a,ll b,ll &m,ll &n){ll g=a;m=1;n=0;if(b)g=extgcd(b,a%b,n,m),n-=(a/b)*m;return g;} ll divmod(ll n,ll m,ll mod){ll a,b;extgcd(m,mod,a,b);return((n*a)%mod+mod)%mod;} const int factmax = 2000; ll fact[factmax+1], factinv[factmax+1]; void factmod(){ fact[0]=fact[1]=1; for(int i=2;i<=factmax;i++)fact[i]=(fact[i-1]*i)%MOD; factinv[factmax]=divmod(1,fact[factmax],MOD); //inv for(int i=factmax;i>0;i--)factinv[i-1]=(factinv[i]*i)%MOD; } int Cmod(int n, int r){ if(n > factmax) throw; if(n < r) return 0; return fact[n] * factinv[r] % MOD * factinv[n-r] % MOD; } int binpow(ll x, ll k, int m){ if(k==0) return 1; if(k%2==0) return binpow(((x%m)*(x%m))%m, k/2, m); else return ((x%m)*binpow(x, k-1, m)) % m; } // n個をgグループに分ける通り数 const int grpmax = 555; ll grpmemo[grpmax+1][grpmax+1]; ll grpmod(int n, int g){ if(n > grpmax || g > grpmax) throw; if(n == 0 && g == 0) return 1; if(n < g || g <= 0) return 0; if(grpmemo[n][g] >= 0) return grpmemo[n][g]; ll res = (grpmod(n-1, g-1) + (g * grpmod(n-1, g) % MOD)) % MOD; return grpmemo[n][g] = res; } int main(){ memset(grpmemo, -1, sizeof(grpmemo)); factmod(); int N; cin >> N; ll res = 0; for(int g = 1; g <= N; g++){ for(int p = 0; p <= N; p++){ ll k = Cmod(N, p) * grpmod(p, g) % MOD; k = k * binpow(g*(g-1)%MOD, N-p, MOD) % MOD; res = (res + k) % MOD; } } cout << res << endl; return 0; }