Given an integer, output five perfect cubes whose sum is that integer. Note that cubes can be positive, negative, or zero. For example,

    -10 == -64 - 64 + 64 + 27 + 27

so for input `-10` you could output `[-64, -64, 64, 27, 27]`, though other solutions are possible. Note that you should output the cubes, not the numbers being cubed.

A solution [always exists][1] -- you might enjoy puzzling this out for yourself. It's further conjectured that four cubes suffice.

  [1]: https://math.stackexchange.com/q/207366/24654