Build a pile of Cubes

❓ Build a pile of Cubes

Q.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, the cube above will have volume of (n-1)^3 and so on until the top which will have a volume of 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 + ... + 1^3 = m if such a n exists or -1 if there is no such n.

Examples:
findNb(1071225) --> 45

findNb(91716553919377) --> -1

✔ Solution

//#my solution
function findNb(m) {
  
  let total = 0;
  let n = 0;
  
  
  while(total < m){
    n+=1;
    total += n**3
  }
   return total === m ? n: -1;
}


//#other solution
function findNb(m) {
  var n = 0
  while (m > 0) m -= ++n**3
  return m ? -1 : n
}