How Do I Remove These Floors?

Find the number of solutions to the equation n2+n3+n6=n1 \large \left \lfloor \dfrac n2 \right \rfloor + \left \lfloor \dfrac n3 \right \rfloor + \left \lfloor \dfrac n6 \right \rfloor =n-1

where nn is a natural number such that 1n1001\leq n \leq 100.


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