#include <cstdio>
#include <algorithm>
#include <cmath>

int T;
double sample[7] = {
    0.0,
    1.0000000000000000,
    1.0833333333333333,
    1.2569444444444444,
    1.5353009259259260,
    1.6915991512345676,
    2.0513639724794235
}, probability[7], dp[1000001];;
    
int main(){
    {
        double e[7], sum;
        for(int i=1;i<=5;i++){
            std::fill(e, e+7, 0.0);
            
            for(int j=i;j>0;j--){
                sum = 0.0;
                for(int k=1;k<=6;k++){
                    if(j+k >= i+1){e[j] += (1.0-sum) * 1; break;}
                    e[j] += probability[k] * (e[j+k] + 1);
                    sum += probability[k];
                }
                // printf("%d, %d: %f\n", i, j, e[j]);
            }

            double x = 0.0, y = 0.0;
            for(int j=1;j<=6;j++){
                if(j >= i+1){x += (1-sum) * 1; y -= 1.0; break;}
                if(j == i){y += e[j] + 1;}
                else{x += probability[j] * (e[j] + 1);}
            }

            // printf("%d: x=%f, y=%f\n", i, x, y);
            probability[i] = (sample[i+1] - x) / y;
            sum += probability[i];
        }

        probability[6] = 1.0;
        for(int i=1;i<=5;i++){
            probability[6] -= probability[i];
        }
        
        // for(int i=1;i<=6;i++){
        //     printf("%f\n", probability[i]);
        // }
    }

    scanf("%d", &T);
    for(int _=0;_<T;_++){
        int n;
        scanf("%d", &n);

        std::fill(dp, dp+n+1, 0.0);
        for(int i=1;i<=n;i++){
            for(int j=1;j<=6;j++){
                dp[i] += probability[j] * (dp[std::max(i-j,0)] + 1);
            }
        }

        printf("%.10f\n", dp[n]);
    }
}