#include #define all(x) begin(x),end(x) #define rall(x) (x).rbegin(),(x).rend() #define REP(i,b,n) for(int i=(int)(b);i<(int)(n);++i) #define rep(i,n) REP(i,0,n) #define rrep(i,n) for(int i=(int)(n)-1;i>=0;--i) #define repsz(i,v) rep(i,(v).size()) #define aur auto& #define bit(n) (1LL<<(n)) #define eb emplace_back #define mt make_tuple #define fst first #define snd second using namespace std; typedef long long ll; //#define int long long templateint size(const C &c){ return c.size(); } templatebool chmin(T&a,const T&b){if(a<=b)return false;a=b;return true;} templatebool chmax(T&a,const T&b){if(a>=b)return false;a=b;return true;} bool solve(){ int k; cin >> k; using R = long double; vector prob(k+6); prob[0] = 1; rep(i, k) REP(j, 1, 7) prob[i+j] += prob[i] / 6.; vector expect(k+6); expect[0] = 0; rep(i, k+6) if(i){ R sum = 0; for(int j = max(0, i-6); j < min(i, k); ++j) sum += prob[j]; for(int j = max(0, i-6); j < min(i, k); ++j) expect[i] += (prob[j] / sum) * (expect[j] + 1); } R ans = expect[k]; R num = 1 / prob[k] - 1; R sum = 1 - prob[k]; for(int i = k+1; i < k+6; ++i) ans += num * (prob[i] / sum) * expect[i]; cout << ans << endl; return true; } signed main(){ cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << std::fixed << std::setprecision(10); solve(); return 0; } // vim:set foldmethod=marker commentstring=//%s: