##### DWITE Online Computer Programming Contest, April 2010, Problem 2

Yet another *"round to arbitrary sequence"* question — **powers of 2**. Given a non-negative integer, what is the closest integer that is also an integer power of 2? This one actually might have some potential application, as integer powers of 2 are represented by a single bit in a digital sequence — numbers that are the easiest to work with in digital circuits, so we might want to approximate some numbers to work with "easier" numbers instead.

The input will contain 5 lines, integers .

The output will contain 5 lines, corresponding integers rounded to the closest integer power of 2. If there are two integers equally far away, then use the higher value for the answer.

The sequence starts as: .

#### Sample Input

```
0
1
2
3
5
```

#### Sample Output

```
1
1
2
4
4
```

Problem Resource: DWITE

## Comments