Aimballs

Tenz, one of the most popular Valorant players, is preparing to participate in a shooting contest where \(N\) balls will be given, and the objective is to pop as many balls as possible. However, there is a twist in this contest: each participant has information about where and when the ball will pop up. Now, the question is: What is the maximum number of balls that Tenz can pop off?
NOTE 1: He can start from any point.
NOTE 2: The time taken to move from \(X\) to \(Y\) = |\(X\) - \(Y\)|.

Input Format

The first line contains an integer \(N\). Each of the next \(N\) lines contain two space-separated integers \(X\) and \(T\) where \(X\) denotes the point and \(T\) denotes the time.

Output Format

Print the maximum number of balls he can pop off.

Constraints

\(0 \lt N \le 10 ^ 5\)
\(0 \lt X_i\ ,\ T_j \le 10 ^ 5\)
\(X_i \le X_(i + 1)\)
\(T_i \le T_(i + 1)\)
\(X_i \le T_i\)

Sample Input 0

5
0 59
3 66
3 74
7 80
61 93

Sample Output 0

4