
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
We remove the square numbers from the sequence of natural numbers. In the remaining sequence, which number is the 2001st, and at which position does the number 2001 stand?

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