JavaScript Fun Question: Building a House

We plan to build a house with N floors. Its design blueprint is as follows:

The volume of the bottom floor is N# To the ##3 power, the volume of the penultimate layer is (N-1) to the 3 power, and so on, the volume of the top layer is 1 to the 3 power.

Now comes the problem. Due to various factors, the designer decided to limit the total volume to

M.

Is it possible that the

M volume is just right to build this house?

Please note, no more, no less.

If possible, please return the layer number

N.

The function prototype is as follows:

findNb (M)

The return value is an integer. If it cannot be done, please Return

-1.

Idea:

I have given the total volume

M, then start from the top layer and subtract each layer in turn volume until M<=0. If

is equal to

0, that is, the house can be built and the number of floors is returned. If

is a negative number, it means that the volume

M is inappropriate and -1 will be returned.

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