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Kang the Penguin is playing a new game today! Since the algorithm to find the closest pair of points in a set of
points on the euclidean plane is well known, he has decided to try something different. Thus, he wants you to find
the **farthest** pair of points instead! Given *N* points, print out the distance between the
farthest
pair of points, rounded to 2 decimal places.

## Input

On the first line of input is a single integer *N* (3 ≤ *N* ≤ 100,000)

On the next N lines of input are two integers *X* and *Y*, each representing one point in the set.
(-10,000 ≤ *X*, *Y* ≤ 10,000)

## Output

Print out a single floating-point number *F* to 2 decimal places, the farthest distance between any pair of
points in the set.

## Sample Input

3 0 0 1 1 2 2

## Sample Output

2.83

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 0 | 1 | 1s | 32MB | Average |

2 | 100 | 20 | 1s | 32MB | Average |

### Judge Compile Command

g++ ans.cpp -o farthestpair -Wall -static -O2 -lm -m64 -s -w -std=gnu++14 -fmax-errors=512