/* reffered to http://kmjp.hatenablog.jp/entry/2015/01/30/0930 */ #include #define EPS 1e-9 #define INF 1070000000LL #define MOD 1000000007LL #define fir first #define foreach(it,X) for(auto it=(X).begin();it!=(X).end();it++) #define numa(x,a) for(auto x: a) #define ite iterator #define mp make_pair #define rep(i,n) rep2(i,0,n) #define rep2(i,m,n) for(int i=m;i<(n);i++) #define pb push_back #define pf push_front #define sec second #define sz(x) ((int)(x).size()) #define ALL( c ) (c).begin(), (c).end() #define gcd(a,b) __gcd(a,b) #define mem(x,n) memset(x,n,sizeof(x)) #define endl "\n" using namespace std; template void deploy(std::ostream &os, const TUPLE &tuple){} template void deploy(std::ostream &os, const TUPLE &t){ os << (POS == 0 ? "" : ", ") << get(t); deploy(os, t); } template std::ostream& operator<<(std::ostream &os, std::pair &p){ os << "(" << p.first <<", " << p.second <<")";return os; } template std::ostream& operator<<(std::ostream &os, std::vector &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::set &v){ int remain = v.size(); os << "{"; for(auto e: v) os << e << (--remain == 0 ? "}" : ", "); return os; } template std::ostream& operator<<(std::ostream &os, std::map &mp){ int remain = mp.size(); os << "{"; for(auto e: mp) os << "(" << e.first << " -> " << e.second << ")" << (--remain == 0 ? "}" : ", "); return os; } #define DEBUG1(var0) { std::cerr << (#var0) << "=" << (var0) << endl; } #define DEBUG2(var0, var1) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG1(var1); } #define DEBUG3(var0, var1, var2) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG2(var1,var2); } #define DEBUG4(var0, var1, var2, var3) { std::cerr << (#var0) << "=" << (var0) << ", ";DEBUG3(var1,var2,var3); } using ll = long long; int N; ll memo[600][600]; ll ans = 0; ll pow_mod(ll x,ll p,ll mod){//x^p % mod ll res = 1; while(p > 0){ if(p & 1){ res = (res * x) % mod; } x = (x * x) % mod; p >>= 1; } return res; } ll pascal_table[1011][1011]; void pascal_init(int n){//nCrをメモ化させる //memset不要 //memset(pascal_table,0,sizeof(pascal_table)); rep(i,n+1){ pascal_table[i][i] = 1; pascal_table[i][0] = 1; } rep2(i,2,n+1){ rep2(j,1,i){ pascal_table[i][j] = pascal_table[i-1][j-1] + pascal_table[i-1][j]; if(pascal_table[i][j] >= MOD){ pascal_table[i][j] -= MOD; } } } } int main() { cin.tie(0); ios_base::sync_with_stdio(0); pascal_init(1000); cin >> N; memo[0][0] = 1; for (int i = 1; i <= N; i++) { for (int j = 1; j <= i; j++) { memo[i][j] = memo[i-1][j-1] + j * memo[i-1][j]; memo[i][j] %= MOD; } } for (int i = 1; i <= N; i++) { for (int j = 1; j <= i; j++) { ll ret = pascal_table[N][i]; ret *= memo[i][j]; ret %= MOD; ret *= pow_mod(j*(j-1),N-i,MOD); ret %= MOD; ans += ret; ans %= MOD; //DEBUG3(i,j,ret); } } cout << ans << endl; return 0; }