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CSES Problem Set

Restaurant Customers


Task | Statistics


CSES - Restaurant CustomersCSES - Restaurant Customers

Time limit:1.00 s Memory limit:512 MB

You are given the arrival and leaving times of $n$ customers in a restaurant.

What was the maximum number of customers?

Input

The first input line has an integer $n$: the number of customers.

After this, there are $n$ lines that describe the customers. Each line has two integers $a$ and $b$: the arrival and leaving times of a customer.

You may assume that all arrival and leaving times are distinct.

Output

Print one integer: the maximum number of customers.

Constraints
Example

Input:
3
5 8
2 4
3 9


Output:
2