##### IOI '07 - Zagreb, Croatia

A new pirate sailing ship is being built. The ship has masts (poles) divided into unit sized segments - the height of a mast is equal to the number of its segments. Each mast is fitted with a number of sails and each sail exactly fits into one segment. Sails on one mast can be arbitrarily distributed among different segments, but each segment can be fitted with at most one sail.

Different configurations of sails generate different amounts of thrust
when exposed to the wind. Sails in front of other sails at the same
height get less wind and contribute less thrust. For each sail we define
its **inefficiency** as the total number of sails that are **behind**
this sail and **at the same height**. Note that "in front of" and
"behind" relate to the orientation of the ship: in the figure below, "in
front of" means to the left, and "behind" means to the right.

The total inefficiency of a configuration is the sum of the inefficiencies of all individual sails.

This ship has 6 masts, of heights 3, 5, 4, 2, 4 and 3 from front (left side of image) to back.

This distribution of sails gives a total inefficiency of 10. The individual inefficiency of each sail is written inside the sail.

Write a program that, given the height and the number of sails on each
of the masts, determines the **smallest** possible total
inefficiency.

#### Input Specification

The first line of input contains an integer , the number of masts on the ship. Each of the following lines contains two integers and , the height and the number of sails on the corresponding mast. Masts are given in order from the front to the back of the ship.

#### Output Specification

Output should consist of a single integer, the smallest possible total inefficiency.

**Note**: use a 64-bit integer type to calculate and output the result
(`long long`

in C/C++, `int64`

in Pascal).

#### Sample Input

```
6
3 2
5 3
4 1
2 1
4 3
3 2
```

#### Sample Output

`10`

**Note**: In test cases worth a total of 25% of the points, the number
of ways to arrange the sails will not exceed .

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