Problem1575--president bai's sky

1575: president bai's sky

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Time Limit : 1 sec  Memory Limit : 128 MB

Description

president bai is counting stars.There are many stars on the map.Please help president bai find out the circular coordinates and radius of the circle covering all stars and it contains the shortest radius.

Input

Multi group coordinate input

Output

Circular coordinates and minimum radius and Results retain two decimal places.

Sample Input Copy

3
1.00 1.00
2.00 2.00
3.00 3.00

Sample Output Copy

2.00 2.00 1.41

HINT

You know president bai is very clever. Common questions she don't want to ask you.So this question is so difficult!

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