6619: ABC249 — A - Jogging
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Description
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?
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:
$A\ B\ C\ D\ E\ F\ X$
$A\ B\ C\ D\ E\ F\ X$
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
$1≤A,B,C,D,E,F,X≤100$
All values in input are integers.
All values in input are integers.
Sample 1 Input
4 3 3 6 2 5 10
Sample 1 Output
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.
Sample 2 Input
3 1 4 1 5 9 2
Sample 2 Output
Aoki
Sample 3 Input
1 1 1 1 1 1 1
Sample 3 Output
Draw