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#include <iostream>

using namespace std;

int main()
{
    char input;
    unsigned char sumaAlgusi = 0, sumaBajtka = 0;

    char i;

    char ile[10];
    std::fill(ile, ile + 10, 0);


    for (i = 0; i < 18; i++){
        cin >> input;
        sumaAlgusi += input;

        ile[input - 1]++;
    }

    for (i = 0; i < 18; i++){
        cin >> input;
        sumaBajtka += input;
        ile[input - 1]--;
    }

    if (sumaAlgusi > sumaBajtka){
        cout << "Algosia";
    }
    else if (sumaBajtka < sumaBajtka){
        cout << "Bajtek";
    }
    else{
        i = 9;
        while (i >= 0){
            if (ile[i] != 0){
                if (ile[i] > 0){
                    cout << "Algosia";
                    return 0;
                }
                else{
                    cout << "Bajtek";
                    return 0;
                }
            }
            i--;
        }
        cout << "remis";
    }
    return 0;
}