#include <iostream>
using namespace std;
double ans[305]={103.0656927438,88.0656927438,70.7589538781,79.3724316095,57.1665522232,52.4726591819,67.0452485743,73.0656927438,64.0656927438,41.9603574217,35.4030561165,37.4215138831,58.9115905633,51.5422622474,73.0656927438,71.0656927438,64.0656927438,61.3724316095,25.1858880179,27.4691460247,21.2830677062,20.5261460437,22.9851340331,52.7589538781,61.3724316095,46.9355808102,36.2799661893,39.5599600601,73.0656927438,64.0656927438,71.0656927438,73.0656927438,67.0452485743,58.9115905633,46.9355808102,61.3724316095,0.0000000000,0.0000000000,0.0000000000,39.5599600601,36.2799661893,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,39.5599600601,51.5422622474,58.9115905633,61.3724316095,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,46.9355808102,61.3724316095,64.0656927438,52.7589538781,61.3724316095,71.0656927438,64.0656927438,73.0656927438,79.3724316095,70.7589538781,57.1665522232,41.9603574217,64.0656927438,27.4691460247,25.1858880179,61.3724316095,52.7589538781,22.9851340331,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,52.7589538781,37.4215138831,35.4030561165,21.2830677062,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,20.5261460437,21.2830677062,0.0000000000,0.0000000000,0.0000000000,52.7589538781,22.9851340331,37.4215138831,52.4726591819,57.1665522232,64.0656927438,61.3724316095,64.0656927438,0.0000000000,0.0000000000,0.0000000000,27.4691460247,25.1858880179,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,27.4691460247,41.9603574217,64.0656927438,64.0656927438,52.7589538781,61.3724316095,39.5599600601,36.2799661893,46.9355808102,61.3724316095,64.0656927438,64.0656927438,51.5422622474,58.9115905633,73.0656927438,67.0452485743,79.3724316095,88.0656927438,88.0656927438,79.3724316095,67.0452485743,73.0656927438,58.9115905633,51.5422622474,64.0656927438,64.0656927438,61.3724316095,46.9355808102,36.2799661893,39.5599600601,61.3724316095,52.7589538781,64.0656927438,64.0656927438,41.9603574217,27.4691460247,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,25.1858880179,27.4691460247,0.0000000000,0.0000000000,0.0000000000,64.0656927438,61.3724316095,64.0656927438,57.1665522232,52.4726591819,37.4215138831,22.9851340331,52.7589538781,0.0000000000,0.0000000000,0.0000000000,21.2830677062,20.5261460437,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,21.2830677062,35.4030561165,37.4215138831,52.7589538781,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,22.9851340331,52.7589538781,61.3724316095,25.1858880179,27.4691460247,64.0656927438,41.9603574217,57.1665522232,70.7589538781,79.3724316095,73.0656927438,64.0656927438,71.0656927438,61.3724316095,52.7589538781,64.0656927438,61.3724316095,46.9355808102,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,61.3724316095,58.9115905633,51.5422622474,39.5599600601,0.0000000000,0.0000000000,0.0000000000,0.0000000000,0.0000000000,36.2799661893,39.5599600601,0.0000000000,0.0000000000,0.0000000000,61.3724316095,46.9355808102,58.9115905633,67.0452485743,73.0656927438,71.0656927438,64.0656927438,73.0656927438,39.5599600601,36.2799661893,46.9355808102,61.3724316095,52.7589538781,22.9851340331,20.5261460437,21.2830677062,27.4691460247,25.1858880179,61.3724316095,64.0656927438,71.0656927438,73.0656927438,51.5422622474,58.9115905633,37.4215138831,35.4030561165,41.9603574217,64.0656927438,73.0656927438,67.0452485743,52.4726591819,57.1665522232,79.3724316095,70.7589538781,88.0656927438,103.0656927438};
int main(int argc, char** argv) {
    int T;
    cin >> T;
    while(T--)
    {
        string s;
        cin >> s;
        int qwq=0;
        for(int i=0;i<8;i++)
            qwq|=(s[i]=='1')<<i;
        printf("%.8lf\n",ans[qwq]);
    }
    return 0;
}