## MNYC '17: 2048

View as PDFGabriel is playing 2048. In this game, squares appear with a number on it. All the numbers are positive powers of 2. You can combine two of the same power to get one power greater. For example, if you combine two s you get a square. Gabriel has squares and wants to know the biggest square he can obtain from combining.

#### Input Specification

A single integer, , the number of squares.

The second line contains integers, , the number on the squares.

#### Output Specification

A single integer, the biggest square can Gabriel can theoretically create.

#### Sample Input 1

```
3
2 4 2
```

#### Sample Output 1

```
8
```

#### Explanation for Sample Output 1

Gabriel can combine the two s to make a and then he can combine the two s he has to make an .

#### Sample Input 2

```
5
2 2 8 16 32
```

#### Sample Output 2

```
32
```

#### Explanation for Sample Output 2

Although Gabriel can combine the two s, he cannot make any more moves. The biggest square he has is .

## Comments

nvm