//#include #include using namespace std; using lint = long long; constexpr lint mod = 998244353; #define all(x) (x).begin(), (x).end() #define bitcount(n) __builtin_popcountll((lint)(n)) #define fcout cout << fixed << setprecision(15) #define highest(x) (63 - __builtin_clzll(x)) #define rep(i, n) for(int i = 0; i < int(n); i++) #define rep2(i, l, r) for(int i = int(l); i < int(r); i++) #define repr(i, n) for(int i = int(n) - 1; i >= 0; i--) #define repr2(i, l, r) for(int i = int(r) - 1; i >= int(l); i--) #define mp(x, y) make_pair(x, y) constexpr int inf9 = 1e9; constexpr lint inf18 = 1e18; inline void Yes(bool condition){ if(condition) cout << "Yes" << endl; else cout << "No" << endl; } lint power(lint base, lint exponent, lint module){ if(exponent % 2){ return power(base, exponent - 1, module) * base % module; }else if(exponent){ lint root_ans = power(base, exponent / 2, module); return root_ans * root_ans % module; }else{ return 1; }} struct position{ int x, y; }; position mv[4] = {{0, -1}, {1, 0}, {0, 1}, {-1, 0}}; double euclidean(position first, position second){ return sqrt((second.x - first.x) * (second.x - first.x) + (second.y - first.y) * (second.y - first.y)); } template void array_output(itr start, itr goal){ for(auto i = start; i != goal; i++) cout << (i == start ? "" : " ") << (*i); cout << endl; } template void cins(itr first, itr last){ for(auto i = first; i != last; i++){ cin >> (*i); } } template T gcd(T a, T b){ if(b) return gcd(b, a % b); else return a; } template T lcm(T a, T b){ return a / gcd(a, b) * b; } struct combination{ vector fact, inv; combination(int sz) : fact(sz + 1), inv(sz + 1){ fact[0] = 1; for(int i = 1; i <= sz; i++){ fact[i] = fact[i - 1] * i % mod; } inv[sz] = power(fact[sz], mod - 2, mod); for(int i = sz - 1; i >= 0; i--){ inv[i] = inv[i + 1] * (i + 1) % mod; } } lint P(int n, int r){ if(r < 0 || n < r) return 0; return (fact[n] * inv[n - r] % mod); } lint C(int p, int q){ if(q < 0 || p < q) return 0; return (fact[p] * inv[q] % mod * inv[p - q] % mod); } }; template bool next_sequence(itr first, itr last, int max_bound){ itr now = last; while(now != first){ now--; (*now)++; if((*now) == max_bound){ (*now) = 0; }else{ return true; } } return false; } template bool next_sequence2(itr first, itr last, itr2 first2, itr2 last2){ itr now = last; itr2 now2 = last2; while(now != first){ now--, now2--; (*now)++; if((*now) == (*now2)){ (*now) = 0; }else{ return true; } } return false; } template bool chmax(T &a, const T &b){ if(a < b){ a = b; return 1; } return 0; } template bool chmin(T &a, const T &b){ if(b < a){ a = b; return 1; } return 0; } inline int at(lint i, int j){ return (i >> j) & 1; } random_device rnd; bool is_in_board(lint y, lint x, lint H, lint W){ return (0 <= y && y < H && 0 <= x && x < W); } lint inv2 = power(2, mod - 2, mod); struct io_init { io_init() { cin.tie(nullptr); cout.tie(nullptr); std::ios::sync_with_stdio(false); } } io_init; double calc(int n){ double a[n + 1], b[n + 1]; a[0] = b[0] = 0; rep2(i, 1, n + 1){ a[i] = b[i] = 0; rep2(j, 1, 7){ if(i - j < 0){ a[i]++; }else{ a[i] += a[i - j]; b[i] += b[i - j]; } } a[i] /= 6; b[i] /= 6; b[i]++; } return b[n] / (1 - a[n]); } void solve(){ int n; cin >> n; if(n >= 200){ fcout << n + floor(5) / 3 << endl; }else{ fcout << calc(n) << endl; } } int main(){ int t; cin >> t; rep(_, t) solve(); }