Problem Statement

While taking a walk on the $xy$-plane, NaN-kun found $N$ circles centered on the $x$-axis.
Circle $C_i$ is known to have its center at ($x_i$,$0$) and radius $r_i$. NaN-kun wants to know how many circles contain the point that lies inside the most circles.
Your task is to determine, on NaN-kun's behalf, how many circles contain the point $(a,b)$ that lies inside the most circles. Note that the circumference is not considered part of the interior of a circle.

Input

$N$
$x_1\ r_1$
$x_2\ r_2$
.
.
.
$x_N\ r_N$

$1\le N\le 10^5$
$-10^5\le x_i\le 10^5$
$1\le r_i\le 10^5$
All inputs are integers.

Output

Output the number of circles whose interior contains the point $(a,b)$ that lies inside the most circles, followed by a newline.

Sample

7
2 1
4 2
5 1
3 1
7 2
9 2
6 1

4