_{This problem is a programming version of Problem 142 from projecteuler.net}

Print triples of integers such that , , and , , , , , are all perfect squares.

**Input Format**

The input contains a single integer, .

**Constraints**

Input #00:

Input #01:

Input #02:

Input #03:

Input #04:

Input #05:

Input #06:

Input #07:

Input #08:

**Output Format**

Output lines, where each line contains three integers separated by single spaces: , and .

**Sample Input**

```
1
```

**Sample Output**

```
472226642633 463877982992 452392145408
```

**Explanation**

The problem asks us to output a single triple . The sample output gives:

You can verify that:

You can output other triples aside from this, as long as they satisfy the constraints.