#include "bits/stdc++.h"
using namespace std;
#define FOR(i,j,k) for(int (i)=(j);(i)<(int)(k);++(i))
#define rep(i,j) FOR(i,0,j)
#define each(x,y) for(auto &(x):(y))
#define mp make_pair
#define all(x) (x).begin(),(x).end()
#define debug(x) cout<<#x<<": "<<(x)<<endl
#define smax(x,y) (x)=max((x),(y))
#define smin(x,y) (x)=min((x),(y))
#define MEM(x,y) memset((x),(y),sizeof (x))
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<ll> vll;

const int K = 1000001;
double dp[K] = {0,1.0000000000000000,1.0833333333333333,1.2569444444444444,1.5353009259259260,1.6915991512345676,2.0513639724794235}, p[7];

int main(){
    p[1] = dp[2] - 1;
    p[2] = dp[3] - 1 - dp[2] * p[1];
    p[3] = dp[4] - 1 - dp[3] * p[1] - dp[2] * p[2];
    p[4] = dp[5] - 1 - dp[4] * p[1] - dp[3] * p[2] - dp[2] * p[3];
    p[5] = dp[6] - 1 - dp[5] * p[1] - dp[4] * p[2] - dp[3] * p[3] - dp[2] * p[4];
    p[6] = 1 - p[1] - p[2] - p[3] - p[4] - p[5];
    FOR(i, 7, K){
        dp[i] = 1;
        for(int j = 1; j <= 6; ++j)dp[i] += p[j] * dp[i - j];
    }
    int T; cin >> T;
    while(T--){
        int N; cin >> N;
        printf("%0.10f\n", dp[N]);
    }
}