Contest: Task: Related: TaskB

Score : $100$ points

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?

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

Input is given from Standard Input in the following format:

$A$ $B$ $C$ $D$ $E$ $F$ $X$

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`

.

4 3 3 6 2 5 10

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.

3 1 4 1 5 9 2

Aoki

1 1 1 1 1 1 1

Draw