#include #include using namespace std; using namespace atcoder; #define rep(i, n) REP(i, 0, n) #define REP(i, s, e) for (ll i = (s); i < (ll)(e); i++) #define repr(i, n) REPR(i, n, 0) #define REPR(i, s, e) for (ll i = (ll)(s - 1); i >= (ll)(e); i--) #define all(r) r.begin(), r.end() #define rall(r) r.rbegin(), r.rend() typedef long long ll; typedef vector vi; typedef vector vl; template T chmax(T& a, const U& b) { if (a >= b) return false; a = b; return true; } template T chmin(T& a, const U& b) { if (a <= b) return false; a = b; return true; } void yes_no(bool f, string yes = "Yes", string no = "No") { cout << (f ? yes : no) << "\n"; } template struct Comb { const int N; vector fact; vector ifact; Comb(int n) : N(n + 1), fact(n + 1), ifact(n + 1) { makeFact(); } void makeFact() { fact[0] = ifact[0] = 1LL; for (int i = 1; i < N; i++) { fact[i] = fact[i - 1] * (mint)i; ifact[i] = fact[i].inv(); } } mint operator()(int n, int r) { if (n < 0 || r < 0 || r > n) return 0; if (r > n / 2) r = n - r; return fact[n] * ifact[n - r] * ifact[r]; } }; void solve() { int n; cin >> n; using mint = modint1000000007; Comb c(n * 2 + 10); vector dp(n + 2, vector(n + 2, mint(0))); REP(i, 1, n + 1) { dp[i][1] = 1; REP(j, 2, i + 1) { dp[i][j] = dp[i - 1][j - 1] + dp[i - 1][j] * j; } } vector ep(n + 2, vector(n + 2, mint(0))); rep(i, n + 1) { ep[i][0] = 1; rep(j, n + 1) { ep[i][j + 1] += ep[i][j] * (i * (i - 1)); } } mint ans = 0; REP(i, 1, n + 1) REP(j, 1, n + 1) { ans += c(n, i) * dp[i][j] * ep[j][n - i]; } cout << ans.val() << "\n"; } int main() { cin.tie(0); ios::sync_with_stdio(false); int t = 1; // multi-testcase // cin >> t; rep(ti, t) solve(); return 0; }