#include #include using namespace std; double dp[256]; double p[256]; int main(int argc, char *argv[]) { int K; cin >> K; cout.precision(12); p[5] = 1; for (int i = 1; i <= K; ++i) { dp[5 + i] = 1; p[5 + i] = 0; for (int j = 1; j <= 6; ++j) { dp[5 + i] += dp[5 + i - j] / 6.0; p[5 + i] += p[5 + i - j] / 6.0; } } double success = dp[5 + K]; double fail_rate = 1.0 - p[5 + K]; double ans = 0, r = 1.0; for (int i = 0; i < 100; ++i) { ans += r * success; r *= fail_rate; } cout << ans << endl; return 0; }