#include #include using namespace std; constexpr int MOD = 1e9 + 7; int read(int x = 0) { return scanf("%d", &x), x; } int pow(int n, int k, int ret = 1) { for (int mul = n; k; k >>= 1) { if (k & 1) ret = ret *1L* mul % MOD; mul = mul *1L* mul % MOD; } return ret; } auto&& binomial = [](){ array, 52> d {{1}}; for (int i = 1; i <= 51; i++) { d[i][0] = 1; for (int j = 1; j <= i; j++) d[i][j] = (d[i-1][j] + d[i-1][j-1]) % MOD; } return d; }(); int n = read(); int f(int k, auto& d) { if (k == 0) return n; if (d[k]) return d[k]; int ans = (pow(n+1, ++k) - 1 + MOD) % MOD; for (int i = 2; i <= k; i++) { ans = ((ans - binomial[k][i] *1L* f(k-i, d) % MOD) % MOD + MOD) % MOD; } return d[k-1] = ans *1L* pow(k, MOD-2) % MOD; } int main() { int d[52] {}; return printf("%d\n", f(read(), d)), 0; }