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#include <bits/stdc++.h>

using namespace std;

int main (){
	ios::sync_with_stdio(0);
	cin.tie(0);
	//Algosia, Bajtek, remis
	int algosia[11]={}, bajtek[11]={},sumaA{}, sumaB{}, i{18}, j;
	while (i--){
		cin >> j;
		++algosia[j];
		sumaA += j;
	}
	i = 18;
	while (i--){
		cin >> j;
		++bajtek[j];
		sumaB += j;
	}
	if (sumaA != sumaB) {
		if (sumaA > sumaB) cout << "Algosia" << endl;
		else cout << "Bajtek" << endl;
		return 0;
	}
	for (int i{10}; i; --i) 
		if (algosia[i] != bajtek[i]) {
			if (algosia[i] > bajtek[i])  cout << "Algosia" << endl;
			else cout << "Bajtek" << endl;
			return 0;
		}
	cout << "remis" << endl;
	return 0;
}