Given a set of points in a two dimensional space, you will have to find the distance between the closest two points.

The input file contains several
sets of input. Each set of input starts with an integer **N (0<=N<=10000)**, which denotes the number of points in this
set. The next **N **line contains the
coordinates of **N** two-dimensional
points. The first of the two numbers denotes the **X-coordinate** and the latter denotes the **Y-coordinate**. The input is terminated by a set whose **N=0**. This set should not be processed.
The value of the coordinates will be less than **40000** and non-negative.

For each set of input produce a single
line of output containing a floating point number (with four digits after the
decimal point) which denotes the distance between the closest two points. If
there is no such two points in the input whose distance is less than **10000**, print the line **INFINITY**.

0 0

10000 10000

20000 20000

5

0 2

6 67

43 71

39 107

189 140

0

36.2215

**(World
Final Warm-up Contest, Problem setter: Shahriar Manzoor)**

“Generally, a brute force method has only two kinds of reply, a) Accepted b) Time Limit Exceeded.”