#include <iostream>
using namespace std;

const int N_MAX = 1000010;

double e[7] = {0, 1.0000000000000000, 1.0833333333333333, 1.2569444444444444, 1.5353009259259260, 1.6915991512345676, 2.0513639724794235};
double p[7];
double dp[N_MAX];

int main(){
    for(int i=2;i<=6;i++){
        double t = 1;
        for(int j=1;j<i-1;j++)t += p[j] * e[i-j];
        
        p[i-1] = e[i] - t;
    }
    p[6] = 1 - (p[1] + p[2] + p[3] + p[4] + p[5]);
    
    dp[0] = 0;
    for(int i=1;i<N_MAX;i++){
        double res = 1;
        for(int j=1;j<=6;j++)if(i-j>=0)res += dp[i-j] * p[j];
        dp[i] = res;
    }
    
    int T;
    cin >> T;
    
    for(int i=0;i<T;i++){
        int N;
        cin >> N;
        
        printf("%.15f\n", dp[N]);
    }
    
    return 0;
}