#include "bits/stdc++.h" using namespace std; #define MAX 500 double dp[MAX]; double dp2[MAX]; double p[MAX]; double p2[MAX]; int main(){ int K; cin >> K; for (int i = 1; i <= K; i++) { dp[i] = dp2[i] = p[i] = p2[i] = 0; for (int j = 1; j <= 6; j++) { if (i - j == 0){ p[i] += 1.0 / 6; } else if (i - j < 0){ p2[i] += 1.0 / 6; } else{ dp[i] += dp[i - j] * p[i - j] / 6; dp2[i] += dp2[i - j] * p2[i - j] / 6; p[i] += p[i - j] / 6; p2[i] += p2[i - j] / 6; } } dp[i] /= p[i]; dp2[i] /= p2[i]; dp[i] += 1; dp2[i] += 1; } double ans = dp[K] + dp2[K] / (p[K]) - dp2[K]; printf("%.14f\n", ans); }