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## C. Farm

Time limit: 1.0 second
Memory limit: 64 MB
Here is a farm. Here is a farmer that counts how many animal live in his farm: a camels, b sheep, c green cockroaches. Occurs that an + bn = cn. n is given. You are to find all the rest.

n (0 ≤ n ≤ 100)

### Output

Three different integers (a, b and c) such that an + bn = cn, 1 ≤ a, b, c ≤ 100. If there are several solutions you should output the one where a is minimal. If there are several solutions with the minimal a you should output the one with minimal b, and so on. Output −1 if there is no solution.

### Samples

inputoutput
```0
```
```-1
```
```1
```
```1 2 3
```
Problem Author: Pierre Fermat
Problem Source: USU Junior Championship March'2005
To submit the solution for this problem go to the Problem set: 1349. Farm