
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
A midpoint tracer is an instrument that draws the exact midpoint between two previously indicated points. Starting from two points at a distance of 1 and using only the midpoint tracer, you must obtain two points at a distance strictly between $\frac{1}{2017}$ and $\frac{1}{2016}$, tracing the fewest number of points possible. What is the minimum number of times you need to use the midpoint tracer, and what strategy would you follow to achieve your goal?

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