# How Do I Remove These Floors?

Number Theory Level 3

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

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

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