
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
There is a sufficiently long thin rope. The first time it is cut into 5 smaller ropes, the second time any one of these smaller ropes is selected and cut into 5 smaller ropes, and each subsequent time, any one of the smaller ropes is selected and cut into 5 smaller ropes. After __ times, a total of 2021 smaller ropes are obtained.

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