#include using namespace std; // #include // using namespace atcoder; // #define int long long #define rep(i, n) for (long long i = (long long)(0); i < (long long)(n); ++i) #define reps(i, n) for (long long i = (long long)(1); i <= (long long)(n); ++i) #define rrep(i, n) for (long long i = ((long long)(n)-1); i >= 0; i--) #define rreps(i, n) for (long long i = ((long long)(n)); i > 0; i--) #define irep(i, m, n) for (long long i = (long long)(m); i < (long long)(n); ++i) #define ireps(i, m, n) for (long long i = (long long)(m); i <= (long long)(n); ++i) #define irreps(i, m, n) for (long long i = ((long long)(n)-1); i > (long long)(m); ++i) #define SORT(v, n) sort(v, v + n); #define REVERSE(v, n) reverse(v, v+n); #define vsort(v) sort(v.begin(), v.end()); #define all(v) v.begin(), v.end() #define mp(n, m) make_pair(n, m); #define cinline(n) getline(cin,n); #define replace_all(s, b, a) replace(s.begin(),s.end(), b, a); #define PI (acos(-1)) #define FILL(v, n, x) fill(v, v + n, x); #define sz(x) (long long)(x.size()) using ll = long long; using vi = vector; using vvi = vector; using vll = vector; using vvll = vector; using pii = pair; using pll = pair; using vs = vector; using vpll = vector>; using vtp = vector>; using vb = vector; template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } template using vc=vector; template using vvc=vc>; const ll INF = 1e9+10; const ll MOD = 1e9+7; const ll LINF = 1e18; // 今の数から次の数に行く期待値 // dp[i]+=(dp[i+j]+1.0)/6 // kを超える場合 // 超えない場合は期待値+1 // dp[i] iからゴールするまでの回数の期待値 // kを超えない個数、超えない個数 それぞれの確率で別の状態へ遷移する // 超える場合自己ループができる // 自己ループするdp[k]を仮決めする // 実際に求めたdp[k]と、仮決めした値により近いものを解として採用する ll K; double kari; double dp[205]; double rec(ll k){ if(k==0) return 0; if(dp[k]) return dp[k]; dp[k]+=1; reps(i,6){ if(k-i<0) dp[k]+=kari/6; else dp[k]+=rec(k-i)/6; } return dp[k]; } signed main() { cin.tie( 0 ); ios::sync_with_stdio( false ); cin>>K; double ok=10000, ng=0; rep(_,100){ kari=(ok+ng)/2; rep(i,205) dp[i]=0; if(rec(K)>kari) ok=kari; else ng=kari; } printf("%.15lf\n", dp[K]); }