#include #include #include #include #include #include using namespace std; #define rep(i,n) for(int i=0;i<(n);i++) const int INF = 1e9; int k; double bserach(double mid){//dp[0] = midと仮定 double dp[300]; rep(i, 300) dp[i] = 0.0; dp[k] = 0.0; dp[k + 1] = dp[k + 2] = dp[k + 3] = dp[k + 4] = dp[k + 5] = dp[k + 6] = mid; for (int i = k - 1; i >= 0; --i){ dp[i] = 1.0 + (dp[i + 1] + dp[i + 2] + dp[i + 3] + dp[i + 4] + dp[i + 5] + dp[i + 6]) / 6.0; } return dp[0]; } int main(void){ cin >> k; double l = 0.0, r = 100000000.0; rep(i, 100){ double m = (l + r) / 2.0; if(bserach(m) >= m){//仮定したdp[0]より大きくなった l = m; }else{ r = m; } } printf("%.6f\n", l); return 0; }