The Zerg army is working on mining more minerals. They have found a mineral patch of length . They have a single drone who will mine the minerals.

This drone needs to divide this mineral patch into sections of length through . The drone can cut a mineral patch of length into two mineral patches, one with length and the other with length . It will take the drone seconds to perform one such cut. It is guaranteed that . The patches are unordered.

What is the minimum amount of time it will take this single drone to divide the mineral patch into the desired sections?

#### Constraints

#### Input Specification

The first line will contain a single integer .

Each of the next lines will contain a single integer, .

#### Output Specification

Output the number of seconds it will take for the drone to divide the mineral patch accordingly.

#### Sample Input

```
3
8
5
8
```

#### Sample Output

`34`

## Comments

What should 10 2 3 5 8 9 10 1 7 4 6 return?