
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 different ways are there to partition the number 2004 into natural summands that are approximately equal? There can be one or several summands. Numbers are called approximately equal if their difference is no more than 1. Ways that differ only by the order of summands are considered the same.

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