Problem Statement

Takahashi and Aoki decided to jog.
Takahashi repeats the following: "walk at B meters a second for A seconds and take a rest for C seconds."
Aoki repeats the following: "walk at E meters a second for D seconds and take a rest for F seconds."
When X seconds have passed since they simultaneously started to jog, which of Takahashi and Aoki goes ahead?

Input

Input is given from Standard Input in the following format:
A B C D E F X

Output

When X seconds have passed since they simultaneously started to jog, if Takahashi goes ahead of Aoki, print Takahashi; if Aoki goes ahead of Takahashi, print Aoki; if they have advanced the same distance, print Draw.

Constraints

• $1 \leq A, B, C, D, E, F, X \leq 100$
• All values in input are integers.

Sample Input 1

4 3 3 6 2 5 10

Sample Output 1

Takahashi

During the first 10 seconds after they started to jog, they move as follows.

• Takahashi walks for 4 seconds, takes a rest for 3 seconds, and walks again for 3 seconds. As a result, he advances a total of $(4 + 3) \times 3 = 21$ meters.
• Aoki walks for 6 seconds and takes a rest for 4 seconds. As a result, he advances a total of $6 \times 2 = 12$ meters.

Since Takahashi goes ahead, Takahashi should be printed.

Sample Input 2

3 1 4 1 5 9 2

Sample Output 2

Aoki

Sample Input 3

1 1 1 1 1 1 1

Sample Output 3

Draw

见题面 Input 部分

见题面 Output 部分