
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
How many positive integers  $n\leq100$  satisfy  $\left\lfloor n\pi\right\rfloor=\left\lfloor\left(n-1\right)\pi\right\rfloor+3$ ? Here  $\left\lfloor x\right\rfloor$  is the greatest integer less than or equal to  $x$ ; for example,  $\left\lfloor\pi\right\rfloor=3$ .

*2018 CCA Math Bonanza Lightning Round #3.2*

Present the answer in LaTex format: \boxed{Your answer}
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