Dartboard

The dartboard is a circle divided into $20$ sector regions of equal area. Each region has a distinct integer from $1$ to $20$ written on it. The picture shows $20, 1, 18, \cdots, 12, 5$ written clockwise, starting from the region at 12 o'clock. A player who hits one of the $20$ regions earns the score written on it. A real dartboard is more complicated, but this problem uses a board made of only these $20$ sectors, as in the picture.

Alice and Bob each throw one dart at this board. Their strategies and expected scores are as follows.

• Alice aims at the region with $20$ points. The dart hits that region or one of the two regions next to it. Her expected score is the average of the scores on these three regions.
• Bob throws at random. The dart hits one of the $20$ regions. His expected score is the average of the scores on all $20$ regions.

For example, with the score layout in the picture, Alice's expected score is $\frac{5+20+1}{3} = 8.666\dots$ and Bob's expected score is $\frac{20+1+\cdots+5}{20} = 10.5$. Bob's strategy is better in this case.

The first line contains the $20$ scores on the board, separated by spaces. The scores are listed clockwise, starting from the region at 12 o'clock. They are $20$ distinct integers from $1$ to $20$.

Print the name of the player whose expected score is higher when Alice and Bob each throw one dart. If the two expected scores are equal, print Tie.