#pragma GCC optimize ("-O3","unroll-loops") #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define REP(i, n) for(int i = 0;i < n;i++) #define REPR(i, n) for(int i = n;i >= 0;i--) #define FOR(i, m, n) for(int i = m;i < n;i++) #define FORR(i, m, n) for(int i = m;i >= n;i--) #define SORT(v, n) sort(v, v+n); #define VSORT(v) sort(v.begin(), v.end()); #define REVERSE(v,n) reverse(v,v+n); #define VREVERSE(v) reverse(v.begin(), v.end()); #define ll long long #define pb(a) push_back(a) #define m0(x) memset(x,0,sizeof(x)) #define print(x) cout< inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } const int MOD = 1e9 + 7; const ll INF = 1e17; const double pi = acos(-1); const double EPS = 1e-10; typedef pairP; const int MAX = 200020; long long fac[MAX], finv[MAX], inv[MAX]; double dp[1000010][7]; signed main() { cin.tie(0); ios::sync_with_stdio(false); int N; cin >> N; dp[1][1] = 1.0; FOR(i, 1, N) { FOR(j, 1, 7) { dp[i + 1][j] = dp[i][j] * (j / 6.0) + dp[i][j - 1] * ((6 - j+1) / 6.0); //pe(i + 1)pe(j)print(dp[i + 1][j]); } } cout << setprecision(10) << dp[N][6] << endl; }