Wild Dogs Wild Dogs
Simple
English JA RU
The dust from the blast has shraded away and you entered the grounds of the estate. But what is that piercing howl you’re hearing from afar? By taking a closer look you’ve realized that a small pack of huge black shaggy dogs, looking more like wolves, are headed your way. These are probably the wild offsprings of the guard dogs who’ve used to protect the castle from the unwanted visitors. The good news is that you have a rifle. The bad news is that you don’t have a lot of bullets. Therefore, your survival depends on finding the best vantage point for shooting. Choose your location wisely and try to make each shot count.

As input you’ll be given the coordinates of the dogs. Your task is to find the distance to the nearest point from which you can kill the maximum number of animals with one shot (any number of dogs on the same line can be killed with one shot). Your starting position is the point (0, 0).

If the calculated distance is an integer, return it as int, otherwise round it to 2 decimal places.
Don't worry about the situation when a few dogs on the line is behind your back (dog dog you dog) - there no such situation in the tests.

Input: list of coordinates (tuple of two integers/float) of the dogs.

Output: distance to the best spot.

Example:

wild_dogs([(7, 122), (8, 139), (9, 156), 
           (10, 173), (11, 190), (-100, 1)]) == 0.18

How it is used: For the tactical analisys and troops placement.

Precondition :
2 <= amount of the dogs <= 15
0 <= distance to the right place <= 20

Settings
Code:
CheckiO Extensions

CheckiO Extensions allow you to use local files to solve missions. More info in a blog post.

In order to install CheckiO client you'll need installed Python (version at least 3.8)

Install CheckiO Client first:

pip3 install checkio_client

Configure your tool

checkio --domain=py config --key=

Sync solutions into your local folder

checkio sync

(in beta testing) Launch local server so your browser can use it and sync solution between local file end extension on the fly. (doesn't work for safari)

checkio serv -d

Alternatevly, you can install Chrome extension or FF addon

checkio install-plugin
checkio install-plugin --ff
checkio install-plugin --chromium

Read more here about other functionality that the checkio client provides. Feel free to submit an issue in case of any difficulties.

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