Express the given number n as the sum of two cubes.
Input
The program receives as input one natural number n (n <= 1028).
Imprint
The program should output 2 non-negative integers (in descending order) whose sum of cubes is equal to n. If it's impossible, print the string impossible.
Examples
| # |
Input |
Output |
| 1 |
9 |
2 1 |
| 2 |
3 |
impossible |