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def check_same_total(algosia_scores, bajtek_scores):
    algosia_scores.sort(reverse = True)
    bajtek_scores.sort(reverse = True)
    for idx, algosia_score in enumerate(algosia_scores):
        if bajtek_scores[idx] > algosia_score:
            print("Bajtek")
            return
        elif algosia_score > bajtek_scores[idx]:
            print("Algosia")
            return
    print("remis")

if __name__ == "__main__":
    algosia_in = input()
    algosia_scores = [int(score) for score in algosia_in.split()]
    algosia_total = sum(algosia_scores)
    
    bajtek_in = input()
    bajtek_scores = [int(score) for score in bajtek_in.split()]
    bajtek_total = sum(bajtek_scores)
    
    if bajtek_total > algosia_total:
        print("Bajtek")
    elif algosia_total > bajtek_total:
        print("Algosia")
    else:
        check_same_total(algosia_scores, bajtek_scores)