Solve the programming task below in a Python markdown code block.
You are given an infinite 2-d grid with the bottom left cell referenced as (1,1). All the cells contain a value of zero initially. Let's play a game?  

The game consists of N steps wherein each step you are given two integers a and b. The value of each of the cells in the co-ordinate (u, v) satisfying 1 ≤ u ≤ a and 1 ≤ v ≤ b, is increased by 1. After N such steps, if X is the largest number amongst all the cells in the rectangular board, can you print the number of X's in the board?

Input Format 

The first line of input contains a single integer N. N lines follow. 

Each line contains two integers a and b separated by a single space.  

Output Format 

Output a single integer - the number of X's. 

Constraints 

1 ≤ N ≤ 100 

1 ≤ a ≤ 10^{6} 

1 ≤ b ≤ 10^{6}

Sample Input  

3
2 3
3 7
4 1

Sample Output  

2

Explanation

Assume that the following board corresponds to cells (i, j) where 1 ≤ i ≤ 4 and 1 ≤ j ≤ 7.

At the beginning board is in the following state:

0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0
0 0 0 0 0 0 0 

After the first step we will obtain:

0 0 0 0 0 0 0
0 0 0 0 0 0 0
1 1 1 0 0 0 0
1 1 1 0 0 0 0 

After the second step we will obtain:

0 0 0 0 0 0 0
1 1 1 1 1 1 1
2 2 2 1 1 1 1
2 2 2 1 1 1 1 

Finally, after the last step we will obtain:

1 0 0 0 0 0 0
2 1 1 1 1 1 1
3 2 2 1 1 1 1
3 2 2 1 1 1 1 

So, the maximum number is 3 and there are exactly two cells which correspond to 3. Hence 2.