#include #include #include #include #include #include #include #include #include #include #include #include #define rep(i,n) for(int i=0;i<(int)(n);++i) #define F first #define S second #define SZ(a) (int)((a).size()) #define sz(a) SZ(a) #define pb(a) push_back(a) #define mp(a,b) make_pair(a,b) #define ALL(a) (a).begin(),(a).end() using namespace std; typedef long long ll; typedef pair PI; typedef unsigned long long ull; #define PR(...) do{cerr << "line : " << __LINE__ << endl; pr(#__VA_ARGS__, __VA_ARGS__);}while(0); template void pr(const string& name, T t){ cerr << name << ": " << t << endl; } template void pr(const string& names, T t, Types ... rest) { auto comma_pos = names.find(','); cerr << names.substr(0, comma_pos) << ": " << t << ", "; auto next_name_pos = names.find_first_not_of(" \t\n", comma_pos + 1); pr(string(names, next_name_pos), rest ...); } template ostream& operator<< (ostream& o, const pair& v){return o << "(" << v.F << ", " << v.S << ")";} template ostream& operator<< (ostream& o, const vector& v){o << "{";rep(i,SZ(v)) o << (i?", ":"") << v[i];return o << "}";} #define endl '\n' int k; double memo[201][110]; bool vis[201][110]; double rec(int cur,int t){ if(t > 100) return 0; if(cur == k) return 0; if(cur > k){ cur = 0; ++t; } if(vis[cur][t]) return memo[cur][t]; vis[cur][t] = 1; double& ret = memo[cur][t]; for(int i = 1; i <= 6; ++i) ret += (rec(cur+i,t)+1)/6; return ret; } int main(int argc, char *argv[]) { cin >> k; printf("%.8f\n", rec(0,0)); return 0; }