Problem D: Jumping rabbits

Upville and Downville host a very particular annual competition called Jumping Rabbits. Each town presents a team of rabbits and the two teams compete with one another to elect the Jumping Champion. Rabbits compete in pairs, one from each team, in what is called a pair match. A pair match consists in one single trial where both rabbits jump and the jumps are measured. After all pair matches have taken place, jumps are ranked and pair matches are assigned points accordingly. The rank of a given jump is given by its number of order in the ascending ordered list of jump heights, where equal heights have equal rankings. In a pair match where rabbits jumped Hu and Hd (where u and d refer to Upville and Downville, respectively), the points assigned to Upville are calculated by multiplying the overall ranking of Hu by the difference between Hu and Hd, while the points assigned to Downville are calculated by multiplying the overall ranking of Hd by the difference between Hd and Hu. The team that gathers most points, considering all pair matches, is the Jumping Champion team. In case both teams gather the same number of points there is a draw.

As an example, suppose this year’s “Jumping Rabbits” competition has only two pair matches, M1 and M2. In M1 the Upville rabbit jumps 100 millimeters and the Downville rabbit jumps 150 millimeters. In M2 the Upville rabbit jumps 150 millimeters and the Downville rabbit jumps 50 millimeters. We then have that Upville collects (100 - 150) × 2 = -100 points from M1 (as 100 is a jump of rank 2) while Downville collects (150 - 100) × 3 = 150 points from M1 (as 150 is a jump of rank 3). From M2 Upville gathers (150 - 50) × 3 = 300 points while Downville gathers (50 - 150) × 1 = -100 points. Hence, this year’s Jumping Champion team is Upville with 200 points, against 50 points from Downville.


Given a number of pair matches and the corresponding pairs of jump heights (in millimeters), your program must identify the Jumping Champion team in case there is one or conclude there is a draw.


The first line contains one integer P that specifies the number of pair matches. The following P lines contain two integers each, separated by a single white space, specifying the jump heights Hu and Hd, in that order, where the u in Hu stands for Upville and the d in Hd stands for Downville.


1 P 5000 Number of pair matches
0 Hu 1000 Jump heights of Upville rabbits
0 Hd 1000 Jump heights of Downville rabbits


The output consists in a single line containing the name of the winner (either Upville or Downville) or Draw in case there is one.

Input example 1

100 150
150 50

Output example 1


Input example 2

100 200
200 100

Output example 2