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#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define pb push_back
#define all(x) (x).begin(), (x).end()
#define mid ((l+r)/2)
#define siz(x) (int)(x).size()
#define BOOST ios_base::sync_with_stdio(0), cin.tie(0)
#define deb(x) cout << #x << ": " << x << "\n"
typedef long long ll;
typedef long double ld;
typedef pair<int, int> ii;

int a[11];

void solve(){
	int sum = 0;
	for(int i=0; i<18; i++){
		int x; cin >> x;
		a[x]++;
		sum += x;
	}
	for(int i=0; i<18; i++){
		int x; cin >> x;
		a[x]--;
		sum -= x;
	}
	if(sum){
		if(sum > 0) cout << "Algosia\n";
		else cout << "Bajtek\n";
		return;
	}
	for(int i=10; i>0; i--){
		if(a[i]){
			if(a[i] > 0) cout << "Algosia\n";
			else cout << "Bajtek\n";
			return;
		}
	}
	cout << "remis\n";
}

int main(){
	BOOST;
	int q;
	q = 1;
	while(q--)
		solve();
}