Removing Floors - Part II

Algebra Level 3

Find the number of solutions to the equation $\large \left \lfloor \dfrac n2 \right \rfloor + \left \lfloor \dfrac n3 \right \rfloor + \left \lfloor \dfrac n6 \right \rfloor =n$

where $n$ is a natural number such that $1\leq n \leq 100$ .

Inspiration, Next Problem.