D - Choose Me

Score : $400$ points

Problem Statement

AtCoder City will hold a mayoral election. The candidates are Aoki and Takahashi.
The city consists of $N$ towns, the $i$-th of which has $A_i$ pro-Aoki voters and $B_i$ pro-Takahashi voters. There are no other voters.
Takahashi can make a speech in each town.
If he makes a speech in some town, all voters in that town, pro-Takahashi or pro-Aoki, will vote for Takahashi.
On the other hand, if he does not make a speech in some town, the pro-Aoki voters in that town will vote for Aoki, and the pro-Takahashi voters will not vote.
To get more votes than Aoki, in how many towns does Takahashi need to make speeches at least?

Constraints

• All values in input are integers.
• $1 \le N \le 2 \times 10^5$
• $1 \le A_i, B_i \le 10^9$

Input

Input is given from Standard Input in the following format:

$N$

$A_1$ $B_1$

$\vdots$

$A_N$ $B_N$

Output

Print the answer.

4
2 1
2 2
5 1
1 3

1

After making a speech in the third town, Aoki and Takahashi will get $5$ and $6$ votes, respectively.

5
2 1
2 1
2 1
2 1
2 1

3

After making speeches in three towns, Aoki and Takahashi will get $4$ and $9$ votes, respectively.

1
273 691

1