#include using namespace std; int main(){ ios_base::sync_with_stdio(false); cin.tie(nullptr); vector P = {0,1.0/12,1.0/6,1.0/4,1.0/12,1.0/4,1.0/6}; vector E(1000000),dp(1000000); double e = 0; dp.at(0) = 1; for(int i=0; i<1000000; i++){ e += dp.at(i); E.at(i) = e; for(int k=1; k<=6&&i+k<1000000; k++) dp.at(i+k) += dp.at(i)*P.at(k); } int T; cin >> T; cout << fixed << setprecision(20); while(T--){ int N; cin >> N; cout << E.at(N-1) << "\n"; } }