Alice and Bob plan to play the following game:
At the beginning of the game,

straight lines have been drawn on the paper, the

th straight line can be represented as

(It's guaranteed that all straight lines are different).
Then, Alice and Bob draw a straight line on the paper in turn (It's also required that the new line cannot coincide with any existing one).

rounds will be carried out, thus there will be

different lines on the paper eventually.
Consider the

th line and the

th line (

), if they have intersection, we call
)
a good pair.
If the number of good pairs is odd Bob wins, otherwise Alice wins.
As you know, Alice and Bob are extremely smart, so who will win the game?