Room

Time limit1sMemory limit1024 MB

Summary

Given a room's width, length, and height in millimeters, decide whether the smaller side divided by the height is at least 2 and the larger side divided by the smaller is at most 2.

Level: Easy1 of 10
Topics: Implementation, Math
Solved: No attempts yet

Problem

A room is described by three integers: its length, width, and height, all in millimeters. A room is good if the ratio of the smaller of the length and width to the height is at least $2$ , and the ratio of the larger of the length and width to the smaller is at most $2$ .

Given the dimensions of a room, determine whether it is good.

Input

Three integers $w$ , $l$ , and $h$ are given, each on its own line. They are the length, width, and height of the room, respectively ( $1000 \le w, l, h \le 10\,000$ ).

Output

If the room is good, print <<good>>. Otherwise, print <<bad>>.

Examples2

Example 1
Input
```
4000
6000
3000
```
Expected output
```
bad
```
Example 2
Input
```
4600
8600
1600
```
Expected output
```
good
```