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- Prepare
- Mathematics
- Fundamentals
- Most Distant
Most Distant
Most Distant
Keko has dots in a 2-D coordinate plane. He wants to measure the gap between the most distant two dots. To make the problem easier, Keko decided to change each dot's or coordinate to zero.
Help Keko calculate the distance!
Input Format
The first line contains an integer, , the number of dots.
The next lines each contain the integer coordinates of the dots in fashion.
Constraints
It is guaranteed that all dots are distinct, and either their or coordinate is equal to .
Output Format
Print the distance between the most distant dots with an absolute error of, at most, .
Sample Input
4
-1 0
1 0
0 1
0 -1
Sample Output
2.000000
Explanation
In the sample, the most distant dots are located at and .
The distance between them is .