#include using namespace std; typedef long long ll; typedef pair p_ll; template void debug(T itr1, T itr2) { auto now = itr1; while(now=0; i--) const ll MOD = pow(10,9)+7; const ll LLINF = pow(2,61)-1; const int INF = pow(2,30)-1; vector fac; void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; } ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; } ll nck(ll n, ll k) { return fac[n]*inv(fac[k]*fac[n-k]%MOD)%MOD; } ll gcd(ll a, ll b) { if (a> K; // E[i] = x[i]*E[0] + y[i] // E[K] = 0*E[K] + 0 // E[0] = y[0] / (1-x[0]) double x[K+1] = {}, y[K+1] = {}; per(i,K) { repr(j,1,7) { if (i+j<=K) { x[i] += x[i+j]/6; y[i] += y[i+j]/6; } else x[i] += 1./6; } y[i] += 1; } // debug(x,x+(K+1)); debug(y,y+(K+1)); double result = y[0] / (1-x[0]); cout << setprecision(10) << result << endl; return 0; }