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n = input().strip().split(" ")
m = input().strip().split(" ")

n.sort(reverse=True)
m.sort(reverse=True)


for i in range(0, len(n)):
    n[i]=int(n[i])
    m[i]=int(m[i])


if m==n:
    print("remis")
elif sum(n)>sum(m):
    print("Algosia")
elif sum(m)>sum(n):
    print("Bajtek")
elif sum(m)==sum(n):
    for i in range(0, len(n)):
        if n[i]>m[i]:
            print("Algosia")
            break
        elif m[i]>n[i]:
            print("Bajtek")
            break
        # n[i]=int(n[i])
        # m[i]=int(m[i])

# print(n)
# print(m)
# n=n