Created
September 24, 2016 03:40
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Codewars 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, 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…
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function findNb(m) { | |
// create an endless loop that increments n, the cube number, starting with a value of 1 | |
for ( var n = 0;;n++ ) { | |
if ( m > 0 ) { | |
// if m, the total volume, is not 0, we will subtract the volume of the current cube from it | |
// first calculate the volume of the current cube | |
var currCubeVol = Math.pow( n+1, 3); | |
// subtract the current cube volume from the total volume | |
m = m - currCubeVol; | |
} else if ( m == 0 ) { | |
// if m is zero then we've found our n, so return n | |
return n; | |
} else if ( m < 0 ) { | |
// if we've gone below zero there is no such n! | |
return (-1); | |
} | |
} | |
} |
We should return n+1 if m===0 , I think
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very nice, thanks for the detailed explanation!