Jogging

AtCoder

IDabc249_a

Time2000ms

Memory256MB

Difficulty—

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: $A$ $B$ $C$ $D$ $E$ $F$ $X$ [samples]

Samples

Input #1

4 3 3 6 2 5 10

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.

Input #2

3 1 4 1 5 9 2

Output #2

Aoki

Input #3

1 1 1 1 1 1 1

Output #3

Draw

API Response (JSON)

{
  "problem": {
    "name": "Jogging",
    "description": {
      "content": "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",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc249_a"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi and Aoki decided to jog.  \nTakahashi repeats the following: \"walk at $B$ meters a second for $A$ seconds and take a rest for $C$ seconds.\"  \nAoki repeats the following: \"walk at $E$ meters a...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments