Battle of Brains

Do you remember Alice and Bob? They are fighting for glory in a battle game they’ve just bought. There are soldiers and horses for each player. Alice currently has $S_A$ soldiers and $H_A$ horses, while Bob currently has $S_B$ soldiers and $H_B$ horses. But having a lot of horses doesn’t help much, as one soldier can only ride one horse. Each player will send their soldiers with horses to the ultimate battle. It is not allowed to send a soldier without a horse. The player with more soldiers present at the battleground will win. If the number of soldiers are equal on both sides, it results in a tie.

Input

The first line will contain two integers $S_A, H_A$ in this order, the number of soldiers and horses that Alice has.

The second line will contain two integers $S_B, H_B$ in this order, the number of soldiers and horses that Bob has.

Output

On a single line, print $\text{Alice}$ if Alice will win the battle, print $\text{Bob}$ if Bob will win the battle. If it’s a tie, print $\text{Tie}$ instead.

Samples

Input	Output
10 12 15 9	Alice

Input	Output
17 17 23 18	Bob

Input	Output
6 9 9 6	Tie