typescript-katas/6kyu/build-a-pile-of-cubes/description.md

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 + . . . + 1 3

m n 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