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import numpy as np

a = np.array(input().split(), int)
b = np.array(input().split(), int)

if (a.sum() > b.sum()):
    print("Algosia")
elif (a.sum() < b.sum()):
    print("Bajtek")
elif (np.sum(a == 10) > np.sum(b == 10)):
    print("Algosia")
elif (np.sum(a == 10) < np.sum(b == 10)):
    print("Bajtek")
elif (np.sum(a == 9) > np.sum(b == 9)):
    print("Algosia")
elif (np.sum(a == 9) < np.sum(b == 9)):
    print("Bajtek")
elif (np.sum(a == 8) > np.sum(b == 8)):
    print("Algosia")
elif (np.sum(a == 8) < np.sum(b == 8)):
    print("Bajtek")
elif (np.sum(a == 7) > np.sum(b == 7)):
    print("Algosia")
elif (np.sum(a == 7) < np.sum(b == 7)):
    print("Bajtek")
elif (np.sum(a == 6) > np.sum(b == 6)):
    print("Algosia")
elif (np.sum(a == 6) < np.sum(b == 6)):
    print("Bajtek")
elif (np.sum(a == 5) > np.sum(b == 5)):
    print("Algosia")
elif (np.sum(a == 5) < np.sum(b == 5)):
    print("Bajtek")
elif (np.sum(a == 4) > np.sum(b == 4)):
    print("Algosia")
elif (np.sum(a == 4) < np.sum(b == 4)):
    print("Bajtek")
elif (np.sum(a == 3) > np.sum(b == 3)):
    print("Algosia")
elif (np.sum(a == 3) < np.sum(b == 3)):
    print("Bajtek")
elif (np.sum(a == 2) > np.sum(b == 2)):
    print("Algosia")
elif (np.sum(a == 2) < np.sum(b == 2)):
    print("Bajtek")
elif (np.sum(a == 1) > np.sum(b == 1)):
    print("Algosia")
elif (np.sum(a == 1) < np.sum(b == 1)):
    print("Bajtek")
else:
    print("remis")