Find the number of solutions to the equation
$\large \left \lfloor \dfrac n2 \right \rfloor + \left \lfloor \dfrac n3 \right \rfloor + \left \lfloor \dfrac n6 \right \rfloor =n-1$

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

###### Be sure to check out Part-I, and Part-2 of this problem.