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#include <iostream>
#include <vector>

int main()
{
    int sumA = 0, sumB = 0;
    std::vector<int> A(18);
    std::vector<int> B(18);
    
    int counterA = 0, counterB = 0;
    bool find = false;
    
    for(int i = 0; i < 18; i++)
    {
        std::cin >> A[i];
        sumA += A[i];
    }
    
    for(int i = 0; i < 18; i++)
    {
        std::cin >> B[i];
        sumB += B[i];
    }
    
    if (sumA > sumB)
    {
        std::cout << "Algosia";
        return 0;
    }
    else if (sumB > sumA)
    {
        std::cout << "Bajtek";
        return 0;
    }
    else if (sumA == sumB)
    {
        int j = 10;
        while (counterA == counterB)
        {
            for (int i = 0; i < 18; i++)
            {
                if (A[i] == j)
                {
                    counterA++;
                }
                
                if (B[i] == j)
                {
                    counterB++;
                }
            }
            
            if(counterA == counterB && j == 0)
            {
                std::cout << "remis";
                return 0;
            }
            else if (counterA == counterB)
            {
            j--;
            counterA = 0;
            counterB = 0;
            }
            
        }
    }
    
    if (counterA > counterB)
    {
        std::cout << "Algosia";
    }
    else
    {
        std::cout << "Bajtek";
    }

    return 0;
}