1418 - Minimum Enclosing Circle

Time Limit : 1 Second

Memory Limit : 128 MB

Submission: 223

Solved: 49

Description


Their are N unique points on 2-D plane, find a minimum circle that can enclose all the points.

 


Input


multiple cases ended with EOF.

for each case:

first line: N (1 < N < 10)

next N lines each contains two integers indicating the coordinate of the ith point: xi, yi (-1000 < xi,yi < 1000)

 


Output


for each case, output one line containing the radius of the minimum circle you find, rounded to two digit after the dot.


sample input
2
0 0
2 0
3
0 0
2 0
0 2
sample output
1.00
1.41
hint

Brute-Force algorithm is recommended.

source
Xu Han, HUST Campus 2010, Preliminary
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