#include #include using namespace std; using Mint = atcoder::modint1000000007; int main() { int N; cin >> N; vector> S2(N + 1), C(N + 1); S2[0] = C[0] = {1}; for (int i = 1; i <= N; i++) { S2[i].resize(i + 1); C[i].resize(i + 1); S2[i][0] = 0; S2[i][i] = 1; C[i][0] = C[i][i] = 1; for (int j = 1; j < i; j++) { S2[i][j] = j * S2[i - 1][j] + S2[i - 1][j - 1]; C[i][j] = C[i - 1][j - 1] + C[i - 1][j]; } } Mint ans = 0; for (int i = 0; i <= N; i++) for (int j = 1; j <= i; j++) ans += S2[i][j] * C[N][i] * Mint(j * (j - 1)).pow(N - i); cout << ans.val() << endl; }