Problem Statement

There are $N$ points in a two-dimensional plane. The coordinates of the $i$-th point are $(x_i,y_i)$.

Find the maximum length of a segment connecting two of these points.

Constraints

• $2 \\leq N \\leq 100$
• $\-1000 \\leq x_i,y_i \\leq 1000$
• $(x_i,y_i) \\neq (x_j,y_j)\\ (i \\neq j)$
• All values in input are integers.

Input

Input is given from Standard Input in the following format:

$N$ $x_1$ $y_1$ $x_2$ $y_2$ $\\hspace{0.4cm} \\vdots$ $x_N$ $y_N$

Output

Print the maximum length of a segment connecting two of the points.

Your answer will be considered correct when the absolute or relative error from the judge's answer is at most $10^{-6}$.

Sample Input 1

3
0 0
0 1
1 1

Sample Output 1

1.4142135624

For the $1$-st and $3$-rd points, the length of the segment connecting them is $\\sqrt 2 = 1.41421356237\\dots$, which is the maximum length.

Sample Input 2

5
315 271
-2 -621
-205 -511
-952 482
165 463

Sample Output 2

1455.7159750446