Kata

Your task is to construct a building which will be a pile of n cubes. The cube at the bottom will have a volume of $n^{3}n^3$, the cube above will have volume of $(n-1{)}^3(n-1)^3$ and so on until the top which will have a volume of $1^{3}1^3$.

You are given the total volume m of the building. Being given m can you find the number n of cubes you will have to build?

The parameter of the function findNb (find_nb, find-nb, findNb, ...) will be an integer m and you have to return the integer n such as $n^3+(n-1{)}^3+(n-2{)}^3+\mathrm{.}\mathrm{.}\mathrm{.}+1^3=mn^3\; +\; (n-1)^3\; +\; (n-2)^3\; +\; ...\; +\; 1^3\; =\; m$ if such a n exists or -1 if there is no such n.

Examples:

findNb(1071225) --> 45

findNb(91716553919377) --> -1