Homework Score Comparison

In this problem, you are given ( N ) assignments. For the ( i^{th} ) assignment, the maximum score is ( a_i ). Two students, Coco and Duo, obtained ( b_i% ) and ( c_i% ) of the full score respectively.

Your task is to determine which student has a higher total score across all assignments. The total score for a student is computed as: [ \text{Total Score} = \sum_{i=1}^{N} a_i \times \frac{\text{percentage}}{100} ]

If Coco's total score is higher than Duo's, output "Coco"; if Duo's total score is higher, output "Duo"; otherwise, output "Draw".

inputFormat

The input consists of four lines:

1. An integer ( N ) representing the number of assignments.
2. ( N ) space-separated integers ( a_1, a_2, \ldots, a_N ) representing the maximum scores for each assignment.
3. ( N ) space-separated integers ( b_1, b_2, \ldots, b_N ) where each ( b_i ) represents the percentage score (in percent) that Coco obtained on the ( i^{th} ) assignment.
4. ( N ) space-separated integers ( c_1, c_2, \ldots, c_N ) where each ( c_i ) represents the percentage score (in percent) that Duo obtained on the ( i^{th} ) assignment.

outputFormat

Output a single line containing "Coco" if Coco's total score is higher than Duo's, "Duo" if Duo's total score is higher, or "Draw" if both scores are equal.

sample

3
100 100 100
100 50 100
80 100 90

Duo