/* -*- coding: utf-8 -*- * * 140.cc: No.140 みんなで旅行 - yukicoder */ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; /* constant */ const int MAX_N = 555; const int MAX_N2 = MAX_N * 2; typedef long long ll; const ll MOD = 1000000007; /* typedef */ /* global variables */ ll combs[MAX_N2 + 1][MAX_N2 + 1]; ll fs[MAX_N + 1][MAX_N + 1]; /* subroutines */ ll powmod(ll a, int n) { // a^n % MOD ll pm = 1; while (n > 0) { if (n & 1) pm = (pm * a) % MOD; a = (a * a) % MOD; n >>= 1; } return pm; } /* main */ int main() { int n; cin >> n; int n2 = n * 2; for (int i = 0; i <= n2; i++) { combs[i][0] = combs[i][i] = 1; for (int j = 1; j < i; j++) combs[i][j] = (combs[i - 1][j - 1] + combs[i - 1][j]) % MOD; } fs[0][0] = 1; for (int i = 1; i <= n; i++) { fs[i][0] = 0; for (int j = 1; j <= i; j++) fs[i][j] = (fs[i - 1][j - 1] + fs[i - 1][j] * j % MOD) % MOD; } ll sum = 0; for (int i = 0; i <= n; i++) for (int j = 0; j <= i; j++) sum = (sum + combs[n][i] * fs[i][j] % MOD * powmod((ll)j * (j - 1) % MOD, n - i) % MOD) % MOD; printf("%lld\n", sum); return 0; }