#include <iostream>
#include <algorithm>
#include <cmath>
#include <cstring>
#include <iomanip>

using namespace std;

int main()
{
    int howm;
    cin >> howm;

    for(int i = 0; i < howm; i++)
    {
        string s;
        cin >> s;
        int tab[6] = {0, 0, 0, 0, 0, 0};
        /// [0] [1] [2] [3] [4] [5]
        ///  A   B   C   D   E   F
        for(char c : s)
        {
            switch(c)
            {
            case 'A':
                tab[0]++;
                break;
            case 'B':
                tab[1]++;
                break;
            case 'C':
                tab[2]++;
                break;
            case 'D':
                tab[3]++;
                break;
            case 'E':
                tab[4]++;
                break;
            case 'F':
                tab[5]++;
                break;
            default:
                break;
            }
        }

        double up_dist = 0.0;
        double right_dist = 0.0;

        up_dist = tab[1] + tab[2] - tab[4] - tab[5];
        right_dist = (tab[0] - tab[3]) + (((double)tab[1] + (double)tab[5]) / 2.0) - (((double)tab[2] + (double)tab[4]) / 2.0);
        up_dist *= 0.866025403;

        double dist = sqrt((up_dist*up_dist)+(right_dist*right_dist));

        cout << std::setprecision(9) << dist << " " << endl;
    }

}