#include #include #include #include #include #include #include #include #include #include #include using namespace std; long long K; vector ans; long double f(long long n, long double x){ if (n > K) return x; if (n == K) return 0.0; if (ans[n] != -1) return ans[n]; long double res = 0.0; for (int i=1; i<=6; i++) res += f(n+i, x); return ans[n] = res / 6.0 + 1.0; } long double g(long double x){ for (int i=0; i<=K; i++) ans[i] = -1; return f(0, x)-x; } int main(){ cin >> K; ans.resize(K+1, -1); long double l=0, r=500, c; for (int i=0; i<1000; i++){ c = (r+l)/2; if (g(c)*g(l) > 0) l = c; else r = c; } cout << setprecision(18) << c << endl; return 0; }