
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
Katherine has a piece of string that is 2016 millimeters long. She cuts the string at a location chosen uniformly at random and takes the left half. She continues this process until the remaining string is less than one millimeter long. What is the expected number of cuts that she makes?

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