Least number to be added to or subtracted from N to make it a Perfect Cube
Given a number N, Find the minimum number that needs to be added to or subtracted from N, to make it a perfect cube. If the number is to be added, print it with a + sign, else if the number is to be subtracted, print it with a – sign.
Input: N = 25
Nearest perfect cube before 25 = 8
Nearest perfect cube after 25 = 27
Therefore 2 needs to be added to 25 to get the closest perfect cube
Input: N = 40
Nearest perfect cube before 40 = 25
Nearest perfect cube after 40 = 64
Therefore 13 needs to be subtracted from 40 to get the closest perfect cube
- Get the number.
- Find the cube root of the number and convert the result as an integer.
- After converting the double value to integer, this will contain the root of the perfect cube before N, i.e. floor(cube root(N)).
- Then find the cube of this number, which will be the perfect cube before N.
- Find the root of the perfect cube after N, i.e. the ceil(cube root(N)).
- Then find the cube of this number, which will be the perfect cube after N.
- Check whether the cube of floor value is nearest to N or the ceil value.
- If the cube of floor value is nearest to N, print the difference with a -sign. Else print the difference between the cube of the ceil value and N with a + sign.
Below is the implementation of the above approach:
2 0 -13