102490: [AtCoder]ABC249 A - Jogging

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?

Constraints

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

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.

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

问题描述

高桥和青木决定慢跑。
高桥重复以下动作：“以$B$米/秒的速度走$A$秒，然后休息$C$秒。”
青木重复以下动作：“以$E$米/秒的速度走$D$秒，然后休息$F$秒。”
当他们同时开始慢跑后经过$X$秒，高桥和青木中谁走得更远？

约束

• $1 \leq A, B, C, D, E, F, X \leq 100$
• 输入中的所有值都是整数。

输入

输入格式如下：

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

输出

当他们同时开始慢跑后经过$X$秒，如果高桥走在青木前面，输出Takahashi；如果青木走在高桥前面，输出Aoki；如果他们走了相同的距离，输出Draw。

样例输入1

4 3 3 6 2 5 10

样例输出1

Takahashi

在他们开始慢跑后的前10秒，他们的行动如下：

• 高桥走4秒，休息3秒，再走3秒。结果他总共走了$(4 + 3) \times 3 = 21$米。
• 青木走6秒，休息4秒。结果他总共走了$6 \times 2 = 12$米。

因为高桥走在前面，应该输出Takahashi。

样例输入2

3 1 4 1 5 9 2

样例输出2

Aoki

样例输入3

1 1 1 1 1 1 1

样例输出3

Draw